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Two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 3 and 136 3, respectively. The height of N is 18 . Find the corresponding height of M.

Answer:

£53.40

Step-by-step explanation:

The shop has an offer where you:

buy 1 T-shirt and get 1 free

buy 3 jumpers and get 2 free

This means if a person pays for 1 T-shirt, he/she gets two and if he/she pays for 3 jumpers, he/she gets 5.

Therefore, to buy 4 T-shirt, you have to pay for 2 and to buy 5 jumpers, you have to pay for 3.

1 T- shirt costs £4.80, therefore, 2 will cost:

2 * 4.80 = £9.60

1 jumper costs  £14.60, therefore, 3 will cost:

3 * 14.60 = £43.80

Therefore, the customer will sped a total of:

43.80 + 9.60 = £53.40

The customer will pay £53.40 to get 5 jumpers and 4 T-shirts using this offer.

Answer:

-1 3/5

Step-by-step explanation:

-4/5 - 4/5= -8/5

-8/5= -1 3/5

you can figure it out by using Google btw

Answer: its 7

Step-by-step explanation: hope it helps

Answer:

72

Step-by-step explanation:

It would take Charlie 72 minutes to run 9 laps. To solve the question find how long it takes to run 1 lap. Do this by dividing the number of minutes by the number of laps ran. For example, 16/2 equals 8, which means it took him 8 minutes to run one lap. To check you can divide the other values, like 32/4= 8 and 48/6 = 8. Then, multiply 8*9 it see how long it takes for him to run 9 laps. Therefore, the answer is 72 because 8*9=72.

Answer:13

Step-by-step explanation:

(x+3) x (x+2)

Step-by-step explanation:

it should be *(x+3) x (x+2)* because area of rectangle = length x breadth

The probability that the next customer to enter the shop will order a cookie is given as follows:

31/60.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in which a cookie is ordered are given as follows:

Hence the probability is obtained as follows:

3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.

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Answer:

Step-by-step explanation:

1. Y varies jointly as R and T

Y = k*R*T

Y = kRT

Where,

k = constant of proportionality

2. B is directly proportional to the square of A and inversely proportional to the cube of C.​

B = k(A²) / C³

B = kA²/C³

Where,

k = constant of proportionality

Answer: that’s complicated ;-;

Step-by-step explanation:

The given rational expression is improper because the degree of the numerator is greater than or equal to the degree of the denominator.

A rational expression is considered proper when the degree of the numerator is less than the degree of the denominator. In this case, the numerator of the expression is a polynomial of degree 2 (7x² + 8x - 2), and the denominator is a polynomial of degree 2 (x² - 25).

Since the degree of the numerator is equal to the degree of the denominator, the given rational expression is improper.

To rewrite the improper expression as the sum of a polynomial and a proper rational expression, we can perform polynomial division. Dividing the numerator (7x² + 8x - 2) by the denominator (x² - 25), we can obtain a polynomial quotient and a proper rational expression. However, without specifying the desired form of the rewritten expression, I am unable to provide the exact answer.

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The dependent variable in this study is the percentage of words correctly recalled.  The outcome is the % of words remembered, which was compared while studying in silence vs. with music.

The dependent variable in this study is the percentage of words correctly recalled by the participants. This variable is measured by comparing the words that the participants remembered after studying in silence to the words remembered after studying while listening to music. Dr. Majowski asks participants to study a list of words for two minutes; half of the participants study in silence and half study while listening to music. After studying the words, all participants are then asked to complete a set of mathematical problems for one minute. After this, each participant is asked to recall the words from the list they studied. Dr. Majowski then measures the percentage of words correctly recalled by each participant, which will provide an indication of the effect of music on memorization. This is the dependent variable in the study.

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Ryan will have to make a monthly payment of $195.41

The probability that less than 70% of the people sampled voted is 0.9992.

Step 1: Calculate the mean of the sample. µ = p = 0.65 (since the percentage of eligible voters who actually voted in the recent election is 65%).

Step 2: Calculate the standard deviation of the sample.σ = sqrt{[p(1 - p)]/n} = sqrt{[(0.65)(0.35)]/1000} = 0.01578

Step 3: Calculate the z-score for the given probability. z = (0.7 - 0.65)/0.01578 = 3.16Step 4: Use the standard normal distribution table to find the area to the left of the z-score (since we want to find the probability that less than 70% of the people sampled voted).P(z < 3.16) ≈ 0.9992Therefore, the probability that less than 70% of the people sampled voted is approximately 0.9992 (or 99.92%).

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The air conditioning unit must cool 1,920 cubic feet of air i.e, the volume of air in Stacy's office.

To find the volume of air in Stacy's office that the air conditioner must cool, we need to find the volume of the square pyramid.

The formula for the volume of a pyramid is given by:

Volume = (1/3) * base area * height

Since the office is in the shape of a square pyramid, the base is a square with side length 24 feet. Therefore, the base area is:

Base area = 24^2 = 576 square feet

The height of the pyramid is 10 feet, as given in the problem.

Using the formula for the volume of a pyramid, we can find:

Volume = (1/3) * base area * height

Volume = (1/3) * 576 * 10

Volume = 1,920 cubic feet

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Answer:

-41

Step-by-step explanation:

(f∘g)(-5)

f(g(-5))

4(2(-5)) - 1

4(-10) - 1

-40 - 1

= -41

Answer:

-41.

Step-by-step explanation:

g(-5) = 2*-5 = -10

(f o g)(-5) =  4(-10) - 1

= -41.

To find the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing with 50 people, follow these steps:

1. Since winning more than one prize is allowed, the probability of Bo winning the first prize is 1/50.

2. Likewise, the probability of Colleen winning the second prize is also 1/50.

3. Similarly, the probability of Jeff winning the third prize is 1/50.

4. Finally, the probability of Rohini winning the fourth prize is 1/50.

5. Since these events are independent, we can multiply the probabilities together to find the overall probability of this specific  :

  Probability = (1/50) * (1/50) * (1/50) * (1/50)

6. Calculate the result:

  Probability ≈ 0.00000016

7. Round the answer to two decimal places:

  Probability ≈ 0.00

So, the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing with 50 people is approximately 0.00.

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The length of an edge of the cubical tank is approximately 9.41 cm.

To find the length of an edge of the cubical tank, we can use the given information.

We know that the water in the cubical tank was poured into an empty rectangular container until it was completely filled. Therefore, the volume of water in the rectangular container is equal to the volume of the cubical tank.

Let's assume that the length of an edge of the cubical tank is x cm. Since it is a cube, the volume of the cubical tank is x^3 cubic cm.

Now, let's calculate the volume of the rectangular container. We know that there were 788 cm of water left in the cubical tank. So, the volume of the rectangular container is 788 cubic cm.

Since the volume of the cubical tank is equal to the volume of the rectangular container, we have the equation: x^3 = 788.

To solve for x, we take the cube root of both sides of the equation: x = ∛788.

Calculating this, we find that x ≈ 9.41 cm.

Therefore, the length of an edge of the cubical tank is approximately 9.41 cm.

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So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.

The first few numbers in the Fibonacci sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. To determine the number of sticks a player can remove, they look at the previous two numbers in the sequence and add them together. For example, if the previous two numbers were 3 and 5, the player could remove 8 sticks.

To start, we need to find the largest number in the Fibonacci sequence that is less than or equal to 500. Looking at the sequence, we see that 21 is the largest number that fits this criteria. Therefore, on your first move, you can remove up to 21 sticks from the pile.

But should you remove all 21 sticks? Not necessarily. In Fibonacci nim, it is often advantageous to leave your opponent with a certain number of sticks that will force them to make a move that is disadvantageous. One such number is 4. If you can leave your opponent with 4 sticks, they will be forced to remove all 4 and you willbe left with a favorable position.

So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.

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To calculate the p-value, we need to use a one-tailed t-test since we're interested in the probability of getting a sample mean greater than 12.10 oz.

First, we need to calculate the t-statistic:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

t = (12.15 - 12.10) / (0.05 / sqrt(25))

t = 3.1623

Next, we need to find the degrees of freedom, which is the sample size minus one:

df = 25 - 1 = 24

Using a t-distribution table with 24 degrees of freedom and a significance level of 0.01, we find that the critical value is 2.492.

Since the calculated t-value (3.1623) is greater than the critical value (2.492), we can reject the null hypothesis and conclude that there is evidence that the mean volume is greater than 12.10 oz.

To find the p-value, we need to calculate the probability of getting a t-value greater than 3.1623 with 24 degrees of freedom:

p-value = P(t > 3.1623) = 0.0028 (calculated using a t-distribution table or software)

Therefore, the p-value is 0.0028, which is less than the level of significance (0.01), indicating strong evidence against the null hypothesis.

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Answer:

To determine the value of W, we need to find the value of x that satisfies the given condition.

If (x-4) is a factor of X^2 - X - W = 0, it means that when we substitute x = 4 into the equation, it should equal zero.

Let's substitute x = 4 into the equation:

(4)^2 - (4) - W = 0

16 - 4 - W = 0

12 - W = 0

To solve for W, we isolate the variable:

W = 12

Therefore, the value of W is 12.

Percentage discount

\(\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}\)

\(\\ \rm\rightarrowtail 0.0232(100)\)

\(\\ \rm\rightarrowtail 2.32\%\)

Answer:

2.3% (nearest tenth)

Step-by-step explanation:

\(\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%\)

Given:

\(\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%\)

\(\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%\)

\(\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)\)

Answer:

B

Step-by-step explanation:

Answer 900

Step-by-step explanation:1% of 5000 is 50 1.5 years is 18 months 50 times 18 is 900

The correct answer is C. The dependent variable is not typically the explanatory variable in a regression model.

In regression analysis, we aim to understand the relationship between a dependent variable and one or more independent variables. The dependent variable is the variable we are trying to explain or predict, while the independent variables are the ones we use to explain or predict the dependent variable.

In a regression model, the intercept coefficient is typically interpreted. It represents the predicted value of the dependent variable when all the independent variables are equal to zero. So, statement A is not true.

The estimates of the slope coefficients are indeed found from sample data. These coefficients represent the change in the dependent variable associated with a one-unit change in the corresponding independent variable. Therefore, statement B is true.

Finally, the regression line is constructed in a way that it minimizes the sum of squared errors, also known as the residuals. The residuals are the differences between the actual values of the dependent variable and the predicted values from the regression model. So, statement D is true.

In summary, statement C is the only statement that is not true about a regression model. The dependent variable is not typically the explanatory variable in regression analysis.

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Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)

don't forget to drop a heart hope it helped

Step-by-step explanation:

Answer: 1/0.2=5

Step-by-step explanation:

I hope this helps if you guys need a reach out to me :)

The first three terms of the sequence are 11, 15, 19...

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

If N represents the term

first term, N = 1

second term N =2

third term N = 3

therefore the first term of the sequence = 4(1)+7

= 11

the second term of the sequence = 4(2)+7 = 15

the third term of the sequence = 4(3)+7 = 19

This shows that the common difference of the sequence is 4.

Therefore the first three terms of the sequence is

11, 15, 19...

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Answer:

Yes 17/20 is bigger than 7/9

Step-by-step explanation:

17 divided by 20 = 0.85

7 divided by 9 = 0.778 ish

17/20 is bigger

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Answer:

Step-by-step explanation:

area formula is

π\(r^{2}\)

plug in values:

9π

which equals

28.2743339

or you can write 9π im not sure what your teacher prefers

circumference formula is

2πr

which equals

6π

or

18.8495559

Answer:

x-intercept(s):   ( 7/ 2 , 0 )

y-intercept(s):   ( 0 , 7 )

Step-by-step explanation:

Answer:

y = 7, x = 7/2

Step-by-step explanation:

y - intercept = 7

x - intercept = 7/2