Answer:
4.9000890
Step-by-step explanation:
You pay 6% sales tax on a $250 purchase. How much was the tax?
Answer:
15
Step-by-step explanation:
To find the tax multiply the cost of the item by 6%
250 * 6%
Change to decimal form
250 *.06
15
Answer:
15
Step-by-step explanation:
convert the percentage to a decimal
6/100 = 0.06
then times by the number you given
6% x 250
Which equation represents a line that is parallel to y = -4x + 3 and passes through the point (-3, 2)?a. y = -4X – 10b. y = -4x + 2c. y = -4x + 5d. y = 1/4x - 7/2e. y = 1/4x + 11/4
when 2 lines are parallels , have the same slope
the slope of
\(y=-4x+3\)is -4 because is the coefficient of x
so I write the general equation of the line and replace the slope
\(\begin{gathered} y=mx+b \\ \\ y=-4x+b \end{gathered}\)to find b, I replace the point (-3,2) since this must be fulfilled
so
\(2=-4(-3)+b\)and solve b
\(\begin{gathered} 2=12+b \\ b=2-12 \\ b=-10 \end{gathered}\)the equation of the parellel line is
\(y=-4x-10\)so the right option is A
Benjamin bought two pounds of strawberries for $12.80. What is the price, in dollars per ounce of strawberries?
Answer:
0.50 cent per ounces
Step-by-step explanation:
0.50 cent per ounces
Solve the equation. m + (–4) = –9 5 36 –5 –13
4m + 9 + 5m – 12 = 42. A. m = 5 B. m = 4 C. m = –5 D. m = -4
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Answer this fast pls
Answer:
Risheeta: The sticks won’t form any triangle.
Step-by-step explanation:
Risheeta is correct. Since 2+3=5, the three sticks put together would form a line, not a triangle. The sum of the two smaller legs HAVE TO equal more than the third leg in order to make a triangle.
(It won’t let me spell her name correctly because it “contains a swear word”!
What is the mean (rounded to the nearest hundredth) of
90.75
99.17
71.80
100.00
97.33
79.58
92.58
87.09
81.59
91.86
and 94.18
Pls, look at picture for the question.
Step-by-step explanation:
substituting values and solving the equation,we get,
1) y= 4
2) x=4
3)x=10
The lunch check is $16.98. Estimate the tip
using a rate of 15%
Solve the equation
X/x+2 - 4/x-2=1
Answer: - 2/3 but in decimal form it is -0.6 repeating
Step-by-step explanation:
Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids
The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).
To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.
A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:
A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.
B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.
C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.
D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.
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5. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?
The number of points gained overall by Julia playing the game is 30 point
How to determine the number of points gained overall?From the question, we have the following parameters that can be used in our computation:
Tax paid for a new quest = 2.5 points
Total points gained playing the game = 75 points
The above parameters can be represented as
The number of points gained overall = Total points gained playing the game/Tax paid for a new quest
Substitute the known values in the above equation, so, we have the following representation
The number of points gained overall = 75/2.5
Express as a correct fraction
So, we have the following representation
The number of points gained overall = 750/25
Evaluate the quotients
So, we have the following representation
The number of points gained overall = 30
Hence, the number of points gained overall =is30
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List all of the subgroups of S4. Find each of the following sets. Are any of these sets subgroups of S4?(a) {σ ∈ S4 : σ(1) = 3}(b) {σ ∈ S4 : σ(2) = 2}
This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).
What are the subgroups of S4The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:
The trivial subgroup {e}.Three subgroups isomorphic to the cyclic group of order 2: {e, (12)}, {e, (13)}, {e, (14)}.Four subgroups isomorphic to the cyclic group of order 3: {e, (123), (132)}, {e, (124), (142)}, {e, (134), (143)}, {e, (234), (243)}.Two subgroups isomorphic to the dihedral group of order 4: {e, (1234), (13)(24), (1432)}, {e, (1234), (14)(23), (1324)}.The alternating group A4 of even permutations: {e, (123), (132), (124), (142), (134), (143), (234), (243), (12)(34), (13)(24), (14)(23), (12)(34), (13)(24), (14)(23)}.Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:
(a) {σ ∈ S4 : σ(1) = 3}
This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.
(b) {σ ∈ S4 : σ(2) = 2}
This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.
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Q.9 The water flows at a speed of 0.8m /sec from a pipe of a radius of 1.5 meters. Find the amount of water that flows out from the pipe in 20 minutes.
Answer:
6,785.84 m³ (cubic meters)
Step-by-step explanation:
The rate of flow given in m/s = 0.8 m/s
Since the pipe has a radius of 1.5 m
Volume of water that flows in 1 second = π x 1.5² x 0.8 m
= π x 12.25 x 0.8 m³ / second
= 1.8π m³/s
20 minutes = 20 min x 60 seconds/min = 1200 seconds
In 1200 seconds, the amount of water that flows out of the pipe
= 1200 s x 1.8π m³/s
= 2,160π m³
= 6,785.84 m³
It’s 11:50 am showtimeonclock
Answer: LOL
Step-by-step explanation:
An elevator went up 15 floors, down 9 floors, up 11 floors, and down 5 floors. Find the
net change. Right now the elevator is at th floor.
Answer:
From the info i have +15, -9. +11, -5 its 3
Step-by-step explanation:
Forty percent of all Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway. Suppose a random sample of n=25 Americans who travel by car are asked how they determine where to stop for food and gas. Let x be the number in the sample who respond that they look for gas stations and food outlets that are close to or visible from the highway.
a. What are the mean and variance of x?
b. Calculate the interval μ±2σμ±2σ. What values of the binomial random variable x fall into this interval?
c. Find P(6≤≤x$\leq$14). How does this compare with the fraction in the interval μ±2σμ±2σ for any distribution? For mound-shaped distributions?
Answer:
Explained below.
Step-by-step explanation:
Let the random variable X be defined as the number of Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway.
The probability of the random variable X is: p = 0.40.
A random sample of n =25 Americans who travel by car are selected.
The events are independent of each other, since not everybody look for gas stations and food outlets that are close to or visible from the highway.
The random variable X follows a Binomial distribution with parameters n = 25 and p = 0.40.
(a)
The mean and variance of X are:
\(\mu=np=25\times 0.40=10\\\\\sigma^{2}=np(1-p)-25\times0.40\times(1-0.40)=6\)
Thus, the mean and variance of X are 10 and 6 respectively.
(b)
Compute the values of the interval μ ± 2σ as follows:
\(\mu\pm 2\sigma=(\mu-2\sigma, \mu+ 2\sigma)\)
\(=(10-2\cdot\sqrt{6},\ 10+2\cdot\sqrt{6})\\\\=(5.101, 14.899)\\\\\approx (5, 15)\)
Compute the probability of P (5 ≤ X ≤ 15) as follows:
\(P(5\leq X\leq 15)=\sum\limits^{15}_{x=5}{{25\choose x}(0.40)^{x}(1-0.40)^{25-x}}\)
\(=0.0199+0.0442+0.0799+0.1199+0.1511+0.1612\\+0.1465+0.1140+0.0759+0.0434+0.0212\\\\=0.9772\)
Thus, 97.72% values of the binomial random variable x fall into this interval.
(c)
Compute the value of P (6 ≤ X ≤ 14) as follows:
\(P(6\leq X\leq 14)=\sum\limits^{14}_{x=6}{{25\choose x}(0.40)^{x}(1-0.40)^{25-x}}\)
\(=0.0442+0.0799+0.1199+0.1511+0.1612\\+0.1465+0.1140+0.0759+0.0434\\\\=0.9361\\\\\approx P(5\leq X\leq 15)\)
The value of P (6 ≤ X ≤ 14) is 0.9361.
According to the Tchebysheff's theorem, for any distribution 75% of the data falls within μ ± 2σ values.
The proportion 0.9361 is very large compared to the other distributions.
Whereas for a mound-shaped distributions, 95% of the data falls within μ ± 2σ values. The proportion 0.9361 is slightly less when compared to the mound-shaped distribution.
Probabilities are used to determine the chance of an event.
\(\mathbf{Mean = 10}\) and \(\mathbf{Variance = 6}\).97.72% values of the binomial random variable x fall into the interval \(\mathbf{\mu \pm 2\sigma}\).93.61% values of the binomial random variable x fall into the interval 6 to 14The given parameters are:
\(\mathbf{n = 25}\)
\(\mathbf{p = 40\%}\)
(a) Mean and variance
The mean is calculated as follows:
\(\mathbf{Mean = np}\)
\(\mathbf{Mean = 25 \times 40\%}\)
\(\mathbf{Mean = 10}\)
The variance is calculated as follows:
\(\mathbf{Variance = np(1 - p)}\)
So, we have:
\(\mathbf{Variance = 25 \times 40\%(1 - 40\%)}\)
\(\mathbf{Variance = 6}\)
(b) The interval \(\mathbf{\mu \pm 2\sigma}\)
First, we calculate the standard deviation
\(\mathbf{\sigma = \sqrt{Variance}}\)
\(\mathbf{\sigma = \sqrt{6}}\)
\(\mathbf{\sigma = 2.45}\)
So, we have:
\(\mathbf{\mu \pm 2\sigma = 10 \pm 2 \times 2.45}\)
\(\mathbf{\mu \pm 2\sigma = 10 \pm 4.90}\)
Split
\(\mathbf{\mu \pm 2\sigma = 10 + 4.90\ or\ 10 - 4.90}\)
\(\mathbf{\mu \pm 2\sigma = 14.90\ or\ 5.10}\)
Approximate
\(\mathbf{\mu \pm 2\sigma = 15\ or\ 5}\)
So, we have:
\(\mathbf{\mu \pm 2\sigma = (5,15)}\)
The binomial probability is then calculated as:
\(\mathbf{P = ^nC_x p^x \times (1 - p)^{n - x}}\)
This gives
\(\mathbf{P = ^{25}C_5 \times (0.4)^5 \times (1 - 0.6)^{25 - 5} + ...... +^{25}C_{15} \times (0.4)^{15} \times (1 - 0.6)^{25 - 15}}\)
\(\mathbf{P = 0.0199 + ..... + 0.0434 + 0.0212}\)
\(\mathbf{P = 0.9772}\)
Express as percentage
\(\mathbf{P = 97.72\%}\)
This means that; 97.72% values of the binomial random variable x fall into the interval \(\mathbf{\mu \pm 2\sigma}\)
\(\mathbf{(c)\ P(6 \le x \le 14)}\)
The binomial probability is then calculated as:
\(\mathbf{P = ^nC_x p^x \times (1 - p)^{n - x}}\)
So, we have:
\(\mathbf{P = ^{25}C_6 \times (0.4)^6 \times (1 - 0.4)^{25 - 6} + ...... +^{25}C_{14} \times (0.4)^{14} \times (1 - 0.4)^{25 - 14}}\)
\(\mathbf{P = 0.0422 +.............+0.0759 + 0.0434}\)
\(\mathbf{P = 0.9361}\)
This means that:
93.61% values of the binomial random variable x fall into the interval 6 to 14
By comparison, 93.61% is very large compared to the other distributions., and the proportion 93.61 is slightly less when compared to the mound-shaped distribution.
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Which equation belongs to the same function family as the graphed function? O A. 4(5) = 5 • B. 비디 = 5r2 • C. NE) = 2(53) O D. A(5) = 210g 5r
The equation belongs to the same function family as the graphed function will be y = 2 · (5)ˣ. Then the correct option is C.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as,
y = a(b)ˣ
From the diagram, the graph represents the exponential function. Then the equation is written as,
y = a · (e⁻ˣ)
The equation belongs to the same function family as the graphed function will be y = 2 · (5)ˣ. Then the correct option is C.
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The complete question is attached below.
I need help with this
The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3
For the equation to be true, two scenarios need to be considered:
When the expression 6x-3 is positive and equals 3:
6x-3 = 3
When the expression 6x-3 is negative and equals -3:
6x-3 = -3
By solving these two equations, we can find the equivalent statement:
Solving 6x-3 = 3:
Adding 3 to both sides gives us:
6x = 6
Dividing both sides by 6:
x = 1
Solving 6x-3 = -3:
Adding 3 to both sides gives us:
6x = 0
Dividing both sides by 6:
x = 0
Therefore, the equivalent statement to |6x-3|=3 is:
6x-3=3 or 6x-3=-3, which can be further simplified to:
6x-3=3 or 6x-3=-3
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The Venn diagram below shows the events A and B, and the probabilities p, q and r.
It is known that P(A)=0.43 , P(B)=0.62 and P(A∩B)=0.27 .
Calculate the value of p
Calculate the value of q
Calculate the value of r
Find the value of P (A given NOT B)
The value of q is 0.35.
The value of p is 0.16.
The value of r is 0.27.
The value of P(A given NOT B) is approximately 0.4211.
To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.
Given:
P(A) = 0.43
P(B) = 0.62
P(A∩B) = 0.27
Calculating the value of p:
The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.
We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:
p = P(A) - P(A∩B)
= 0.43 - 0.27
= 0.16
Therefore, the value of p is 0.16.
Calculating the value of q:
The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.
We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:
q = P(B) - P(A∩B)
= 0.62 - 0.27
= 0.35
Therefore, the value of q is 0.35.
Calculating the value of r:
The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.
We are given that P(A∩B) = 0.27, so the value of r is 0.27.
Therefore, the value of r is 0.27.
Finding the value of P(A given NOT B):
P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.
To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.
P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)
We can calculate the value of P(A given NOT B) using the provided probabilities:
P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))
= 0.43 - 0.27 / (1 - 0.62)
= 0.16 / 0.38
≈ 0.4211
Therefore, the value of P(A given NOT B) is approximately 0.4211.
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Sonja has $1,800 to invest, And she has a choice between two savings accounts. Saving account a offers an interest rate of 3.6% compounded monthly, while savings Account be offers an interest rate of 4.8%, compounded monthly. How much more would she have after two years with savings account be done with savings account a?
Answer:
$46.83
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For saving account A;
P = $1,800
t = 2 years
n = 12 (monthly
r = 3.6% = 0.036
Substituting the values;
A = 1800(1+0.036/12)^(12×2)
A1 = $1934.17
for saving account B;
P = $1,800
t = 2 years
n = 12 (monthly
r = 4.8% = 0.048
Substituting the values;
A = 1800(1+0.048/12)^(12×2)
A2 = $1981.00
The difference will then be
d = A2 - A1
d = $1981.00 - $1934.17
d = $46.83
Therefore, she would have $46.83 more
How to graph 7(4x-1) +6x>-279
Answer:
see attachment
Step-by-step explanation:
It usually works well to simplify the inequality as much as possible.
7(4x -1) +6x > -279 . . . . . given
28x -7 +6x > -279 . . . . . eliminate parentheses
34x > -272 . . . . . . . . . . . add 7, collect terms
x > -8 . . . . . . . . . . . . . . . divide by 34
__
This graphs as an open circle at x = -8, and shading of the number line extending to the right from there. The circle at -8 is open because -8 is not included in the solution set. However, all values greater than -8 (to the right of -8 on the number line) are included in the solution.
9. division fractions problems
You have 3 3/5 pizzas. You and yours 3 friends eat while watvhing a movie. If you each ate the same amount how much of the pizza does each person eat?
Answer:
9/10 of a pizza each
Step-by-step explanation:
3 whole pizzas is 30/10 and 3/5 made into /10 is 6/10 and if add them you will get 36/10 and dived that in 4 you will get 9/10
Thabo travelled 95 kilometres in 2 hours. If he keeps going at the same rate, how long will it take him to go the remaining 165 kilometres of her trip?
Answer: Velocity, v= distance/time
Given: distance=95km & time= 2 hours
Velocity= 95/2 = 47.5km/hour
Step-by-step explanation:
Now, Distance= 165 km and we got velocity= 47.5km/hour
= 47.5 =165/time
Time taken = 165/47.5= 3hours and 50 minutes.
Therefore, Time taken to remaining 165 km of her trip is 3hours and 50 minutes.
2) There are 40 boys and 16 girls in a class of students. What is the ratio of girls to students?
Add boys and girls together for total students:
40 + 16 = 56 total students
Girls to total students is 16/56
Divide both numbers by 8 to get 2/7
The ratio is 2/7
\(\sf{\bold{\blue{\underline{\underline{Given}}}}}\)
There are 40 boys and 16 girls in a class of students. ⠀⠀⠀⠀\(\sf{\bold{\red{\underline{\underline{To\:Find}}}}}\)
⠀What is the ratio of girls to students?⠀⠀⠀\(\sf{\bold{\purple{\underline{\underline{Solution}}}}}\)
In a class,
boys=40
girls =16
So,
The students of the class =
boys+girls 40+1656According to the question,
we have to find the ratio of girls to the total students
ratio=\(\sf{\dfrac{girls}{students} }\) ratio=\(\sf{\dfrac{16}{56} }\) ratio=\(\sf{\dfrac{\cancel{16}}{\cancel{56}} }\)ratio=\(\sf{\dfrac{2}{7} }\) ratio=\(\sf{2:7 }\)⠀⠀⠀⠀
\(\sf{\bold{\green{\underline{\underline{Answer}}}}}\)
⠀⠀⠀⠀
Hence,the ratio of girls to students is 2:7
⠀⠀⠀⠀
Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
A dolphin was swimming 4 feet below sea level. The number line shows the
location of the dolphin. It then dove down 3 feet Describe how to use the
number line to find the new location of the dolphin
Answer:
-4+(-3)= -7. The dolphin is -7 feet below sea level
Step-by-step explanation:
Start at -4 on the number line. When you add a negative number to a negative number, you move left on the number line. Move 3 units to the left to land at -7. The dolphin is 7 feet below sea level.
You are solving a measurement problem where the numbers 5.2187 x 10−3, 2.05 x 107, and 3.40 x 103 are multiplied. How many significant digits should the product have?
5
3
2
1
The number of significant digits that the product have is 3.
Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.
Rules for determining Significant Numbers,
Within the specified measurement or reporting resolution, non-zero digits are significant.Significant zeros occur between two significant non-zero digits (significant trapped zeros).Leading zeros (zeroes to the left of the first non-zero digit) is not important.The trailing zeros (zeroes after the final non-zero digit) in a decimal number are important if they fall within the measurement or reporting resolution.The trailing zeros (zeroes after the final non-zero digit) in a decimal number are important if they fall within the measurement or reporting resolution.Given Numbers are \(5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}\)
Now, Multiplying the given numbers,
\(5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}\)
So, In 3.64 *10^8, The number of significant digits is 3.
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Answer:
answer is 3
Step-by-step explanation:
Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
Here is another question DUE SOON PLEASE ASAP
Question 5(Multiple Choice Worth 1 points)
(08.07 MC)
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of p(x) in vertex form is;
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
What is vertex?In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.
To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.
To find the vertex, we can use the formula:
x = -b/2a, where a is the coefficient of the x² term, b is the coefficient of the x term, and c is the constant term.
Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.
We can then use the formula to find the vertex:
x = -b/2a = -5/2a
Using the values from the table, we can set up two equations:
46 = a(5)² + b(5) + c
1 = a(0)² + b(0) + c
Simplifying the second equation, we get:
1 = c
Substituting c = 1 into the first equation and solving for a and b, we get:
46 = 25a + 5b + 1
-20 = 5a + b
Solving for b, we get:
b = -20 - 5a
Substituting b = -20 - 5a into the first equation and solving for a, we get:
46 = 25a + 5(-20 - 5a) + 1
46 = 15a - 99
145 = 15a
a = 9.67
Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:
b = -20 - 5(9.67) = -71.35
Therefore, the equation of p(x) in vertex form is:
p(x) = 9.67(x - 5)² + 1
Simplifying, we get:
p(x) = 9.67(x² - 10x + 25) + 1
p(x) = 9.67x² - 96.7x + 250.85 + 1
p(x) = 9.67x² - 96.7x + 251.85
Rounding to the nearest hundredth, we get:
p(x) = 9.67(x - 5² + 1 = 9.67(x + 1.04)² - 10.25
Therefore, the answer is:
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
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