Answer:
0.39
Step-by-step explanation:
Answer:
1.87
Step-by-step explanation:
Identify the hypothesis of the statement If x + 4 = 5, then x = 1.
a. If x = 1, then x + 4 = 5.
b. If x + 4 5, then x 1.
c. x + 4 = 5
d. x = 1
Answer:
c
hypothesis is an educated guess. it follows the word if in If, then statements.
following the word then is your conclusion
Find the area of each polygon
Answer:
1. 66 ft²
2. 102 cm²
3. 35 in.²
4. 7.36 in.²
5. 60 in.²
6. 91 m²
7. 48 m²
5. 567 mm²
9. 255 m²
10. The side length of the square is 9 cm
The area of the square is 81 cm²
Step-by-step explanation:
1. The area of the parallelogram = 11 × 6 = 66 ft²
2. The area of the triangle = 1/2×12×17 = 102 cm²
3. The area of the trapezium = 1/2×(5 + 9)×5 = 35 in.²
4. The area of the triangle = 1/2×4.6×3.2 = 7.36 in.²
5. The area of the parallelogram = 10 × 6 = 60 in.²
6. The area of the trapezium = 1/2×(15 + 11)×7 = 91 m²
7. The area of the parallelogram = 8 × 6 = 48 m²
5. The area of the trapezium = 1/2×(27 + 36)×18 = 567 mm²
9. The height of the wall = 17 m - 8 m = 15 m
The area = 17 × 15 = 255 m²
10. The dimensions of a square with perimeter = 36 cm are;
Side length = 36/4 = 9 cm
The area of the square = 9 × 9 = 81 cm².
how many different ways can you arrange these 10 people in a circle? (two arrangements are considered the same, if one arrangement could be rotated to get the other arrangement.)
You can arrange 10 people in a circle in 362880 different ways if two arrangements are considered the same
What is a combination?In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.
Information about the problem:
As the table is round, the first person can take any seat, then the seat on the right can be taken by 1 of 9 people, then the next seat by 1 of 8 and so on until the 10th person has no choice of seats.
This is expressed by:
9*8*7*6*5*4*3*2
9!
362,880
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A spinner and 4 cards are shown below:
A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.
Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?
1 over 20
1 over 5
1 over 4
9 over 20
Answer: 1 over 20
Step-by-step explanation: If the spinner has 5 parts to it at purple is one of those parts then the spinner has a 1/5 chance of it landing there.
If there are 4 cards and 1 of them are pink then there is a 1/4 chance of picking pink(if done randomly)
So if we mutiply 1/4 and 1/5, we get 1/20
That is how I arrived at my answer of 1 over 20
Someone, Please help asap! :)
Plz help me with my homework
Answer:
a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.
b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.
Remember: Speed=Distance/Time
A ball is launched from a 114.24-foot tall platform. The equation for
the ball's height hat time t seconds after launch is h (t)=-16f² +
59.2t+114.24, where his in feet. What is the maximum height the
ball achieves before landing?
To find the maximum height the ball achieves before landing, we need to find the vertex of the parabola represented by the equation h(t) = -16t^2 + 59.2t + 114.24. The vertex form of a parabola's equation is y = a(x-h)² + k where (h, k) is the coordinates of the vertex.
We can get the vertex form by completing the square of x term.
h(t) = -16t² + 59.2t + 114.24
h(t) = -16(t² - 3.68t) + 114.24 + 3.68t
h(t) = -16(t-0.92)² + 118.92
The maximum height is 118.92 ft which is k.
Uday Tahlan
The number of traffic accidents on successive days are independent Poisson random variables with mean 2.
(a) Find the probability that 3 of the next 5 days have two accidents.
The probability that 3 of the next 5 days have two accidents is approximately 0.225. We can use the Poisson distribution to model the number of traffic accidents on each day, with a mean of 2. Let X be the number of accidents on a single day, then X ~ Poisson(2).
(a) To find the probability that 3 of the next 5 days have two accidents, we can use the binomial distribution since we are interested in the number of successes (days with two accidents) in a fixed number of trials (5 days). Let Y be the number of days with two accidents in 5 days, then Y ~ Binomial(5, P), where P is the probability of having two accidents on a single day.
Since X ~ Poisson(2), we know that P(X = 2) = e^(-2) * 2^2 / 2! = 0.2707 (using the Poisson probability formula). Therefore, P = 0.2707 is the probability of having two accidents on a single day.
Using the binomial probability formula, we can find the probability of having exactly 3 days with two accidents in 5 days:
P(Y = 3) = (5 choose 3) * 0.2707^3 * (1 - 0.2707)^2 = 0.225
Therefore, the probability that 3 of the next 5 days have two accidents is approximately 0.225.
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Round 6 734 591 to 2 significant figures
Jessie baked p cupcakes on Saturday. She baked (p + 3) more cupcakes on Sunday than on Saturday. She baked 30 cupcakes altogether. How many cupcakes did Jessie bake on Saturday?
Answer:
9 cupcakes on Saturday
Step-by-step explanation:
(p + 3) more than p is p + p + 3 = 2p + 3
on Saturday she baked p
on Sunday she baked 2p + 3 , then
p + 2p + 3 = 30
3p + 3 = 30 ( subtract 3 from both sides )
3p = 27 ( divide both sides by 3 )
p = 9
She baked 9 on Saturday and 21 on Sunday
attach a link if needed<3
Juice: Different
Burritos: Same
Soup: Same
Peanut Butter: Different
scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what is the minimum score you would need to be in the top 2%?
The minimum score needed to be in the top 2% of the exam is 90.5, which is two standard deviations above the mean.
To calculate the minimum score needed to be in the top 2%, we need to find the value of two standard deviations above the mean. This can be done using the formula x = μ + (2σ), where μ represents the mean and σ represents the standard deviation. In this case, μ = 76.4 and σ = 6.1. We substitute these values into the formula to get x = 76.4 + (2*6.1), which equals 90.5. Therefore, the minimum score needed to be in the top 2% is 90.5. To further understand this calculation, it is important to note that the normal distribution curve is symmetrical. This means that the area under the curve that is two standard deviations above the mean is 2%, which is the same as the area under the curve that is two standard deviations below the mean. Therefore, the score that is two standard deviations above the mean is the minimum score needed to be in the top 2%.
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55 employees increased by 20 percent
please help!
Answer:
I believe its 66
Step-by-step explanation:
55×20%=11
55+11=66
This question is from one of my practice questions, since im studying. Can someone help me with this?
Question 11
1 pts
In Rodger's state, unemployment compensation is calculated by finding the total of the
quarterly wages of two consecutive quarters and dividing by 26. The weekly
unemployment is 65% of that amount. In the quarter including January, February, and
March, Rodger made a total of $13,950.80. In the quarter including April, May, and
June, he made a total of $14,250.10. Find Rodger's weekly unemployment amount.
Rodger's weekly unemployment amount is $697.54
What is the total of the quarterly wages of two consecutive quarters?
The total of the of the quarterly wages of two consecutive quarters is the sum of first quarter and second quarter wages
total of quarterly wages=$13,950.80+$13,950.80
total of quarterly wages=$27,901.60
unemployment compensation=total of quarterly wages/26
unemployment compensation=$27,901.60 /26
unemployment compensation=$1,073.14
The weekly unemployment amount is 65% of Rodger's state, unemployment compensation
weekly unemployment=65%*$1,073.14
weekly unemployment=$697.54
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2. Write the coefficient of x4 and x in 4x³-5x²+2x² + 3 3. Find the zeroes of f(z)=z² - 2z. 4. Find the product using suitable identities: (4 +5x)(4-5x). 5. What is the value of k in polynomial x�
The coefficient of x^4 in the expression 4x³ - 5x² + 2x² + 3 is 0. The coefficient of x is 0 as well.
To determine the coefficient of a specific term in a polynomial expression, we need to identify the term and examine its coefficient. In the given expression, 4x³ - 5x² + 2x² + 3, there is no term with x^4. Therefore, the coefficient of x^4 is 0.
Additionally, since there is no standalone term of x, the coefficient of x is also 0.
--------------------
To find the zeroes of the function f(z) = z² - 2z, we need to set the function equal to 0 and solve for z:
z² - 2z = 0
We can factor out z from the equation:
z(z - 2) = 0
Now we have two possibilities:
1. z = 0
2. z - 2 = 0, which gives z = 2
Therefore, the zeroes of f(z) = z² - 2z are z = 0 and z = 2.
--------------------
To find the product of (4 + 5x)(4 - 5x), we can use the FOIL method, which stands for First, Outer, Inner, Last:
(4 + 5x)(4 - 5x) = 4 * 4 + 4 * (-5x) + 5x * 4 + 5x * (-5x)
Simplifying the expression, we get:
16 - 20x + 20x - 25x^2
Combining like terms, we have:
16 - 25x^2
Therefore, the product of (4 + 5x)(4 - 5x) is 16 - 25x^2.
--------------------
The value of k in the polynomial x³ + kx is 0.
To determine the value of k, we need to set the polynomial equal to 0 and solve for k:
x³ + kx = 0
We can factor out x from the equation:
x(x² + k) = 0
Now, there are two possibilities:
1. x = 0
2. x² + k = 0
If x = 0, then the polynomial is already equal to 0, regardless of the value of k.
To find the value of k when x² + k = 0, we can solve for k:
k = -x²
Therefore, the value of k in the polynomial x³ + kx is 0.
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a newly constructed fish pond contains 2000 liters of water. unfortunately the pond has been contaminated with 5 kg of a toxic chemical during the construction process. the pond's filtering system removes water from the pond at a rate of 200 liters/minute, removes 50% of the chemical, and returns the same volume of (the now somewhat less contaminated) water to the pond. write a differential equation for the time (measured in minutes) evolution of:
The differential equation for the time evolution of the toxic chemical in the pond is dy/dt = -200y + (100/2000)x
where y represents the amount (in kg) of the contaminant in the pond and x represents the amount of contaminant added to the pond per minute (5 kg/minute in this case). The negative sign in the equation indicates that the amount of contaminant is decreasing in the pond, while the positive term (100/2000)x indicates that the contaminant is being added to the pond at the rate of 5 kg/minute.
To solve for y, we can integrate the equation with respect to time. We start by multiplying both sides by dt, giving us the integral form of the equation: dy = -200y dt + (100/2000)x dt. Integrating both sides gives us the solution y = -200y(t) + (100/2000)x(t) + C, where C is an integration constant. Since we know the initial amount of contaminant in the pond is 5 kg, we can set y(0) = 5 and solve for C, giving us C = 5. Therefore, the solution to the differential equation is y(t) = -200y(t) + (100/2000)x(t) + 5.
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From an elevation of 2.5 feet above sea level, a bird dives 4 feet to catch a fish. How far below the surface is the fish?
Answer:
1.5ft
Step-by-step explanation:
It starts at 2.5ft, it goes down 4ft.
Hence, subtracting 2.5ft from 4ft:
4ft - 2.5ft = 1.5ft below the surface
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Hannah can spend up to $40 on snacks and drinks at the movie theater. A snack costs $5 and a drink costs $3.50.
Use for the number of snacks
Use for the number of drinks
Which inequality represents this situation?
Answer:
5s + 3.50d < 40
Step-by-step explanation:
if you were to total up the costs of a snack and drink together you'll end up with $8.50
-multiply $8.50 until you reach $40 mark
i.e 8.50×2(means 2 of each item) = $17
8.50×3 = $25.5
8.50×4 = $34
8.50×5= $42.5
-if you look at it, the calculation for 5, the pricing is now over the budget therefore the answer is then 5s + 3.50d < 40 because she can only spend up to $34 at most
What is the slope of the line given by the equation 3 x − 8 y = − 16 ?
Answer:
The slope is 3/8
Step-by-step explanation:
The slope of the line given by the equation 3x - 8y = -16 is 3/8.
To find the slope of the line given by the equation 3x - 8y = -16, we need to rearrange the equation into slope-intercept form, y = mx + b, where m represents the slope.
Starting with the given equation:
3x - 8y = -16
We can isolate y by subtracting 3x from both sides:
-8y = -3x - 16
Next, we divide both sides of the equation by -8 to solve for y:
y = (3/8)x + 2
Now, we can observe that the equation is in slope-intercept form, y = mx + b, with m = 3/8.
This means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 3/8.
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A company is marketing a new video game. Market research indicates that 24% of the the market has seen an advertisement for the new game.
Suppose 42% of those who see the ad have purchased the game and 93% of those who have not seen the advertisement have not purchased the game. If you choose a person who purchased the game, what is the probability he or she did not see the ad?
Express your answer as a decimal, rounded to the nearest thousandth (three decimal places).
Answer =
The probability that a person who purchased the game did not see the advertisement is:0.659.
what is probability?
Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probability is used in many areas, including statistics, mathematics, science, finance, and gambling.
In the given question,
To solve this problem, we will use Bayes' theorem, which allows us to update our beliefs about the probability of an event based on new information.
Let A be the event that a person has seen the advertisement, and B be the event that a person has purchased the game. We want to find the probability of A given B, i.e., the probability that a person who has purchased the game has also seen the advertisement.
We know that P(A) = 0.24 (24% of the market has seen the advertisement), P(B|A) = 0.42 (42% of those who see the ad have purchased the game), and P(~A|~B) = 0.93 (93% of those who have not seen the advertisement have not purchased the game).
We can use the complement rule to find P(B|~A), the probability of purchasing the game given that the person has not seen the advertisement:
P(B|~A) = 1 - P(~B|~A) = 1 - 0.93 = 0.07
Now we can use Bayes' theorem:
P(A|B) = P(B|A) * P(A) / P(B)
where P(B) = P(B|A) * P(A) + P(B|~A) * P(~A)
Plugging in the values, we get:
P(B) = 0.42 * 0.24 + 0.07 * (1 - 0.24) = 0.2956
P(A|B) = 0.42 * 0.24 / 0.2956 = 0.3408
Therefore, the probability that a person who purchased the game did not see the advertisement is:
1 - P(A|B) = 1 - 0.3408 = 0.659
Rounded to the nearest thousandth, the answer is 0.659.
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EASY!!! Answer this correctly.
I will mark brainleist.
Answer:
7/40
17/1000
9/3125
3/200
Step-by-step explanation:
Brainliest pls tried hard
Ms. Regan is making a circular quilt and wants to include a lace pattern
around the outside of the quilt. If the area of the quilt is 28. 26 square feet, how many feet of lace does Ms. Regan need to purchase? (Use 3. 14 for pi. )
To find out how much lace Ms. Regan needs to purchase, we first need to calculate the circumference of the circular quilt. We know that the area of the quilt is 28.26 square feet, and we can use the formula A = πr^2 to find the radius of the quilt.
28.26 = 3.14 x r^2
r^2 = 9
r = 3
Now that we know the radius is 3 feet, we can use the formula C = 2πr to find the circumference of the quilt.
C = 2 x 3.14 x 3
C = 18.84 feet
Therefore, Ms. Regan needs to purchase 18.84 feet of lace to go around the outside of her circular quilt.
In summary, to find out how much lace Ms. Regan needs to purchase, we need to calculate the circumference of the circular quilt. We do this by first finding the radius using the formula A = πr^2. Once we know the radius, we can use the formula C = 2πr to find the circumference. In this case, the circumference is 18.84 feet, so Ms. Regan needs to purchase that amount of lace.
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find and sketch the domain of the function. f(x, y, z) = ln(81 − 9x2 − 9y2 − z2)
The function is defines for all (x,y,z) ∈ R³
Hence the domain of this equation is,
D = {(x, y, z) | 9x² + 9y² + z² ≤ 81
The function is bound by sphere.
The set of inputs that a function will accept is known as the domain of the function in mathematics. (f), " (f), where f is the function, are other ways to refer to it.
More specifically, the domain of f is X given a function Xto Yfcolon Xto Y. It should be noted that in contemporary mathematical terminology, a function's domain is a component of its definition rather than a quality.
The function f can be graphed in the Cartesian coordinate system in the particular situation where X and Y are both subsets of R In this instance, the graph's x-axis shows the domain as the projection.
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Select the correct answer from each drop-down menu.
The coordinates of point G are ? . The Refelection of point G across x-axis and y-axis lies in quadrant ? , and the coordinates of that point are ? .
Answer:4/2
Step-by-step explanation:
what is the y-intercept
Answer:
(0,6)
Step-by-step explanation:
The y intercept is where the line crosses the y axis or the coordinate where x = 0.
Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)
PLEASE HELP!!! Sarah is working on a project about temperature conversion in her science class. She was given the formula F=95C+32 for converting degrees Celsius to degrees Fahrenheit. What temperature in Celsius would be equivalent to 77°F?
Answer:
The Temperature, in Celsius, would be 42/95
Step-by-step explanation:
By using that formula, you would get 77=95c+35, simplify that and you get 95c=42. Then divide.
-8 is a term.
Yes
No
Answer:
yes
Step-by-step explanation:
Select the correct answer.
After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this month. Her bank told her
that she has 10 years to pay off all of her loans, and that starting this month the loans will be compounded monthly at a fixed annual rate of
9.4%.
Erica currently has a total of $29.158.00 in student loans. Using the formula, what is Erica's approximate monthly payment?
Fpli)
P =
1- (1 + i)-
ОА
OB
Erica's approximate monthly payment will be $370.39.
Erica's approximate monthly payment will be $254.94.
Erica's approximate monthly payment will be $375.70.
Erica's approximate monthly payment will be $2.740.10.
Oc.
D.
Answer:
its $375.70
Step-by-step explanation:
i guessed and got it right. good luck guys. love u. remeber to eat n drink water and try to spend some time outside if you can! i know its hard rn but we can do it! im proud of u all
The value of Erica's approximate monthly payment is $375.70. The correct option is C .
What is the meaning of Rate of Interest ?Rate of Interest is the rate at which a loan is borrowed or the rate at which an investment gives return .
It is given that
Student Loan Total = $29,158
Rate of Interest = 9.4 %
Time Period = 10 years
The monthly payment is given by
\(\rm \dfrac{F p(i) }{ ( 1 - ( 1 + i )^{-n})}\)
Substituting the values in the equation
\(\rm = \dfrac{29158* (0.094/12) }{ ( 1 - ( 1 + (0.094/12) )^{-12*10})}\)
= $ 375.70
Therefore,The value of Erica's approximate monthly payment is $375.70. The correct option is C.
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A company purchased 10 computers from a manufacturer. They paid their bill after 40 days with a finance charge of $180. The manufacturer charges 11% interest. Find the cost of the computers excluding interest, and the cost per computer. Use a banker's year of 360 days. The cost, excluding interest, is $ _____(Do not round until the final answer. Then round to the nearest cent as needed.) The cost per computer is $_____
The cost, excluding interest, is $648. The cost per computer is $64.80
The manufacturer charges 11% interest. Finance charge: $180 Days: 40 days Banker's year: 360 days Cost per computer formula: Interest = Principal × Rate × Time/ 360% × 100
Let the cost of the computers be x dollars and the cost per computer be y dollars. Cost of the computers = x Cost per computer = y Total finance charge with interest = $180 Total days in banker's year = 360 Rate = 11% Principal = x Time in days = 40 days + 360 days= 400 days Interest = (x * 11 * 400)/(360 * 100)= (11x/360) * 400 Interest + x = 180 + x10x/36 = 180x = $648. The cost of the computers excluding interest is $648.The cost per computer is $64.80. (cost per computer = $648/10)Therefore, The cost, excluding interest, is $648. The cost per computer is $64.80.
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