Answer:
25+25, 40+10, 35+15 If that's your question, not sure. But if you mean what's divisible by 50, maybe 10, 5
Step-by-step explanation:
How many surgeon are either office-based or ophthalmologist.?
Answer:
Is there a graph related to this question?
Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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Mileage tests were conducted on a randomly selected sample of 100 newly developed automobile tires. The results showed that the mean tread life was 50,000 miles, with a standard deviation of 3,500 miles. What is the best estimate of the mean tread life in miles for the entire population of these tires?
Answer:
The best estimate of the mean of the population is 50,000 miles, which is the sample mean.
To make a better inference, we know that the 95% confidence interval for the mean is (49,306; 50,694).
Step-by-step explanation:
The unbiased point estimation for the population mean tread life is the sample mean (50,000 miles), as it is the only information we have.
Although, knowing the standard deviation, we can calculate a confidence interval to make a stronger inference.
We calculate a 95% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=50000.
The sample size is N=100.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3500}{\sqrt{100}}=\dfrac{3500}{10}=350\)
The degrees of freedom for this sample size are:
\(df=n-1=100-1=99\)
The t-value for a 95% confidence interval and 99 degrees of freedom is t=1.98.
The margin of error (MOE) can be calculated as:
\(MOE=t\cdot s_M=1.98 \cdot 350=694.48\)
Then, the lower and upper bounds of the confidence interval are:
\(LL=M-t \cdot s_M = 50000-694.48=49306\\\\UL=M+t \cdot s_M = 50000+694.48=50694\)
The 95% confidence interval for the mean is (49306, 50694).
Given the following table of values for the function f(x), determine f^-1(4)
Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3
What is the inverse of a function?The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.
In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;
Taking two points from the table;
m = y₂ - y₁ / x₂ - x₁
m = 0 - (-3) / -9 - (-11)
m = 3 / 20
Using the slope and one point on the table;
y = mx + x
-3 = 3/20(-11) + c
-3 = -1.65 + c
c = -3 + 1.65
c = -1.35
Putting the slope and y - intercept together;
y = 3/20x - 1.35
y = 3/20x - 27/20
f(x) = 3/20x - 27/20
Taking the inverse of the function;
f⁻¹(x) = (20x + 27)/3
To find the value of f⁻¹(4), we just need to substituting the value of x in the function;
f⁻¹(4) = (20(4) + 27)/3
f⁻¹(4) = 107/3
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The radioactive isotope 14C has a half-life of approximately 5715 years. A piece of ancient charcoal contains only 81% as much of the radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal
Answer:
1758 years
Step-by-step explanation:
0.693/t1/2 = 2.303/t log No/N
t1/2 = half life of the C-14
t= time taken
No= amount of radioactive material originally present
N= amount of isotope after time t.
But N= 0.81 No
0.693/5715= 2.303/t log No/0.81No
0.00012 = 0.211/t
t =0.211 /0.00012
t= 1758 years
A rectangular basket has a height of 6 inches, a width of 4 inches, and a length of 12 inches. What is the volume of the basket? Show how you found your answer.
V= l x w x h
V= B x h
The volume of a rectangular box or basket can be calculated using the formula:
V = l x w x h
where l is the length, w is the width, and h is the height of the box or basket.
In this case, the height of the basket is 6 inches, the width is 4 inches, and the length is 12 inches. Therefore, we can substitute these values into the formula and calculate the volume:
V = l x w x h
V = 12 x 4 x 6
V = 288 cubic inches
Therefore, the volume of the rectangular basket is 288 cubic inches.
The volume of the basket is 288 cubic inches.
What is Volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
The volume of a rectangular prism can be calculated
= length x width x height.
Given that the height is 6 inches, the width is 4 inches, and the length is 12 inches, the volume of the basket can be calculated as:
Volume = Length x Width x Height
Volume = 12 inches x 4 inches x 6 inches
Volume = 288 cubic inches
Therefore, the volume of the basket is 288 cubic inches.
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Find the value of x.
x = 2
x = 3
x = 33
x = 52
Charlie will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $48 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.14 per mile driven.
For what amount of driving do the two plans cost the same?
miles
What is the cost when the two plans cost the same?
$
Answer:
180; both plans would cost $82.20
Step-by-step explanation:
48+.19x=57+.14x
x=180
48+.19(180)=82.2
57+.14(180)=82.2
Explain the meaning of the term floor plan in this context
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
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Review the information given based on a principal balance of $18,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800-850 12%
29
740-799 15%
33
670-739 18%
38
48
580-669 21%
300-579 28%
60
$20,160.00
$20,700.00
$21,240.00
$21,780.00
$23,040.00
Calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a
730 credit score. Round the final answer to the nearest tenth. (4 points)
O 20.0%
O 17.3%
O 19.5%
O 18.4%
Answer:
To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.
From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 15% * 33/12) = $20,700
Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 18% * 38/12) = $21,240
Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:
Percent increase = |(New value - Old value) / Old value| * 100%
Plugging in the values, we get:
Percent increase = |($21,240 - $20,700) / $20,700| * 100%
Percent increase = 2.6%
Rounding to the nearest tenth, we get the final answer as:
Percent increase = 2.6% ≈ 2.5% (rounded to the nearest tenth)
Therefore, the answer is O 2.5%.
Step-by-step explanation:
The next model of a sports car will cost 12.9% more than the current model. The current model costs $33,000. How much will the price increase in dollars?
What will be the price of the next model?
Increase in price:
sl
Price of next model:
Х
$
?
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A chain of stores knows that 90\%90%90, percent of its customers pay with a credit or debit card, 5\%5%5, percent pay with cash, and 5\%5%5, percent pay with a service on their smartphones. They installed a new system for receiving payments, and they wonder if these percentages still hold true. They plan to take a random sample of customers in order to perform a \chi^2χ
2
\chi, squared goodness-of-fit test on the results.
What is the smallest sample size the company can take to pass the large counts condition?
100 people cuz 90% of 100 is 90
5 % is 5
So its easier to interpret
Answer:
The smallest sample size the company can take and still pass the large counts condition is 100 total customers.
Step-by-step explanation:
The large counts condition says that all expected counts need to be at least 5. The company needs to sample enough customers so that they expect each mode of payment to appear at least 5 times. Since the distribution they expects is uneven, we should look at the mode of payment that has the lowest expected percentage.
The lowest expected percentage is 5%, percent, which is the percentage of both cash and payment via smartphone, We need to pick a sample so 5%, percent of its size equals at least 5.
0.05x ≥5
x ≥100
So, the company needs to sample at least 100 customers.
In ΔBCD, the measure of ∠D=90°, DC = 77, BD = 36, and CB = 85. What is the value of the sine of ∠C to the nearest hundredth?
Using the sine ratio, the value of the sine of angle C, to the nearest hundredth, is: 0.42.
What is the Sine Ratio Formula?The formula of the sine ratio of a reference angle in a given right triangle having one of its angles as angle 90 degrees (right angle) is expressed as: sin ∅ = length of opposite side / length of hypotenuse of the right triangle, where ∅ is the reference angle in the right triangle.
Given the following information about triangle BCD:
Angle D = 90° (right angle, this means triangle BCD is a right triangle)
Angle C = ∅ (reference angle, we are to find the value of its sine).
DC = 77 (adjacent side)
BD = 36 (opposite side)
CB = 85 (hypotenuse).
Apply the sine ratio to find the sine of ∠C:
sin C = 36/85
sin C = 0.4235
sin C = 0.42 (to the nearest hundredth).
Therefore, applying the sine ratio, the value of the sine of angle C, to the nearest hundredth, is: 0.42.
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three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
I really need help with this
Answer:
Step-by-step explanation:
Statement Reason
PR ≅ TR Given
<PQR≅<TSR Given
<PRQ≅<TRS Vertical Angles Theorem
PQR=TSR SAS Theorem (Side-Angle-Side)
Please help help help help help me
Answer:
The answer is 218 dollars because you need to add the total costs of everything and divide it by the number of players.
Step-by-step explanation:
Answer:
Step-by-step explanation:
to know the amount of an individual
we need to find each value one by one
boots : 960
= 960/15 (divide by 15 as there are 15 girls)
= 64
The cost of Boots to an individual is 64
dress : 1350
= 1350/15
= 90
The cost of Dress to an individual is 90
ribbons : 105
= 105/15
= 7
The cost of Ribbons to an individual is 7
tights : 180
= 180/15
= 12
The cost of tights to an individual is 12
warm up : 675
= 675/15
= 45
The cost of warm up to an individual is 45
One team member spend on all items :
= 65 + 90 + 7 + 12 + 45
= 219
One team member spend on all items : 219
HELP ME
Final exam guide due
Show work
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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What is the missing number 100 -11- missing number -12=9
Answer:
68
Step-by-step explanation:
100-68-12-11=9
12+11=23
100-23-9=68
Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2,674 pounds to 4,089 pounds. (a) What is the mean weight of a randomly chosen vehicle? (Round your answer to the nearest whole number.) Mean weight 3382 (b) What is the standard deviation of a randomly chosen vehicle? (Round your answer to 4 decimal places.) Standard deviation 408.475 (c) What is the probability that a vehicle will weigh less than 2,961 pounds? (Round your answer to 4 decimal places.) Less than 2,961 pounds 33815 (d) What is the probability that a vehicle will weigh more than 3,814 pounds? (Round your answer to 4 decimal places.) More than 3,814 pounds - (e) What is the probability that a vehicle will weigh between 2,961 and 3,814 pounds? (Round your answer to 4 decimal places.) Between 2,961 and 3,814 pounds
We must determine the percentage of the total area under the uniform distribution curve to the right of 3,814 pounds in order to determine the probability that a car will weigh more than 3,814 pounds.
What is probability?Mathematicians use probability theory to determine the likelihood that an event will occur or a statement is accurate. A probability of essentially 0 shows how likely an occurrence appears to occur, while a risk is a number between 0 and 1, where 1 implies certainty.
(a) The average of the vehicle's lowest and highest weights, or (2,674 + 4,089) / 2, equals 3,382 pounds, is the mean weight of the vehicle. The mean weight is 3,382 when rounded to the closest whole number.
(b) The formula for calculating the standard deviation of a uniform distribution is (b - a) / 12, where a denotes the lowest value and b denotes the maximum value. We arrive at (4,089 - 2,674) / 12 = 408.4751 after substituting the numbers. The standard variation, rounded to four decimal places, is 408.475.
(c) We must determine the percentage of the total area under the uniform distribution curve that lies to the left of 2,961 pounds in order to determine the likelihood that a car will weigh less than 2,961 pounds. (2,961 - 2,674) / (4,089 - 2,674) = 0.33815 is the formula for this region. The chance, rounded to four decimal places, is 0.3381.
(d) We must determine the percentage of the total area under the uniform distribution curve to the right of 3,814 pounds in order to determine the likelihood that a car will weigh more than 3,814 pounds. (4,089 - 3,814) / (4,089 - 2,674) = 0.2904 gives the area of this triangle. The chance, rounded to four decimal places, is 0.2904.
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mariah bought a package of 8 cupcakes. She and her friend ate 5 of the cupcakes.
What fraction of the cupcakes did they eat and what fraction of the cupcakes were left?
Answer:
The fraction of cupcakes they ate is:
5 / 8
The fraction of cupcakes left is:
3 / 8
PLEASE HELP ME I NEED HELP ON THIS
Answer:
If im right the correct answers should be A, B and F
HELP PLEASE BE QUICK WILL GIVE BRAINLIEST.
Answer:
7
Step-by-step explanation:
the line crosses the 7 on the y axis
i hope this is correct
The math teachers can walk 76 miles in 4 days, the reading teachers can walk 63 miles in 7 days. Which group of teachers walked more miles per day?
Answer:Reading teachers.
Step-by-step explanation:
Answer:
Math teacher
Step-by-step explanation:
76/4=19 miles per day
63/7=9 miles per day
I need help with my math
Step 1: Pick any two points
The points are represented as (x1,y1), (x2,y2).
where x1= -4, y1= -8, x2= 0, y2= 4
Step 2: Write out the formula of the equation to use
\(\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}\)Step 3: Substituting the values and to get the equation
\(\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}\)\(\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}\)The equation that represents the graph is y= 3x+4.
Option A is the correct answer.
Which recursive sequence would produce the sequence 5 , − 22 , 86 , . . . 5,−22,86,...?
By answering the presented question, we may conclude that One possible recursive sequence that could produce the sequence 5, -22, 86, ... is: a[1] = 5
What is Sequences?In mathematics, a sequence is an ordered list of items. Elements can be numbers, functions, or other mathematical objects. A series is commonly expressed by putting the phrases in parentheses and separating them with commas. A natural number series, for example, can be denoted as: (1, 2, 3, 4, 5, ...) Similarly, the even number series is labelled as follows: (2, 4, 6, 8, 10, ...) A series can be finite or infinite depending on whether it has a finite or infinite number of words.
One possible recursive sequence that could produce the sequence 5, -22, 86, ... is:
a[1] = 5
a[n] = -4a[n-1] - 6n + 11
We can verify that this sequence generates the desired sequence by computing the first few terms:
a[1] = 5
a[2] = -4a[1] - 6(2) + 11 = -22
a[3] = -4a[2] - 6(3) + 11 = 86
a[4] = -4a[3] - 6(4) + 11 = -342
and so on.
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PLEASE HELP I WILL GIVE BRAINLEST
Answer:
$13.80
Step-by-step explanation:
all you have to do is subtract 20 and 6.20
Answer:
hi mia its me mari
Graph the inequality in the coordinate plane.
x > -3
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Usually, a one-variable solution set is graphed on a number line. However, since you asked for it, the attachment shows it graphed on the coordinate plane.
900 employees had put their names in a lucky draw. When the lucky numbers were drawn. The first draw eliminated 20% of the people, the second draw eliminated 30% of the remaining people and the third draw eliminated exactly one third of the remaining people. How many people were eliminated in the third draw?
Answer: in the third draw 33.33% people eliminated.
Step-by-step explanation:
Given that cos x = 3/5 and 0
Answer:
What do we have to do in this? Find x? Let me know I'll explain it in the comment section
A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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