What is the volume of a square pyramid if the length of an edge of the base is 7 and the altitude
of the pyramid is 12?
(1) 28
(2) 56
(3) 196
(4) 588

Answer:

r + 6 = 90

Step-by-step explanation:

Answer:

90 = r6

Step-by-step explanation:

90 is the answer or product (multiplication) of Rita's age (r) and 6.

Meaning r times 6 = 90

Answer:

(-3,9)

Step-by-step explanation:

Use any of the method for solving systems of equations (substitution,elimination,equal to each other)

The solution to the system of equations y = 4x + 3 and 2x - 3y = 21 is x = -3 and y = -9, found by substitution.

The solution to the system of equations y = 4x + 3 and 2x - 3y = 21 is found by using the substitution or elimination methods.

To use substitution, we can first express y from the first equation and substitute it into the second equation. As an example, substituting y from y = 4x + 3 into the second equation yields:

2x - 3(4x + 3) = 21

2x - 12x - 9 = 21

-10x = 30

x = -3

Then, we substitute x back into the first equation to find y:

y = 4(-3) + 3

y = -12 + 3

y = -9

The solution to the system of equations is x = -3 and y = -9.

Answer:

There is a multiplication error. The payment should be $48 per month.

Step-by-step explanation:

i took the assignment hopes this help can i get brainliest plzzzzz

The pet store owner made an error in his calculation. When you multiply the amount of each payment ($49) by the number of payments (6), the result is $294, not $288.

The information provided in the question implies a situation that involves simple mathematics; specifically, multiplication and addition. To determine the total cost of the snake, it would be necessary to multiply the number of payments (6) by the individual amount of each payment ($49).

Here's how:

This means that

the pet store owner is asking for $294 in total

, not $288. Thus, the error that the pet store owner made was in the calculation of the total amount due for the snake.

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Given Information:

Unit labor cost = 0.9

Hourly output per worker = $32.50

Required Information:

Hourly compensation per worker = ?

Answer:

Hourly compensation per worker = $36

Step-by-step explanation:

The unit labor cost is given by

[tex]U = \frac{O}{W}[/tex]

Where W is the hourly compensation per worker, O is the hourly output per worker and U is the unit labor cost.

Re-arranging for the hourly compensation yields,

[tex]U = \frac{O}{W}\\\\W =\frac{O}{U}\\ \\[/tex]

Now substitute the given values

[tex]W =\frac{32.50}{0.9}\\\\W = 36.11\\\\W = \$ 36[/tex]

Therefore, the hourly compensation per worker is $36.

Bonus:

Unit labor cost is the amount incurred with regard to labor expenses to produce one unit of a product. Calculating the unit labor cost helps in analyzing other aspects of the business such as product pricing, profit margin, sales etc.

Answer:

Predicted values:

[tex]\hat y_1 = 49.3 (1.47)^1 =72.471[/tex]

[tex]\hat y_2 = 49.3 (1.47)^2 =106.5324[/tex]

[tex]\hat y_3 = 49.3 (1.47)^3 =156.6026[/tex]

[tex]\hat y_4 = 49.3 (1.47)^4 =230.2058[/tex]

[tex]\hat y_5 = 49.3 (1.47)^5 =338.4025[/tex]

[tex]\hat y_6 = 49.3 (1.47)^6 =497.4517[/tex]

[tex]\hat y_7 = 49.3 (1.47)^7 =731.254[/tex]

[tex]\hat y_8 = 49.3 (1.47)^8 =1074.943[/tex]

Residuals:

[tex]e_1 = 65-72.471=-7.471[/tex]

[tex]e_2 = 90-106.5324=-16.5324[/tex]

[tex]e_3 = 162-156.6026 = 5.3974[/tex]

[tex]e_4 = 224-230.2058 = -6.2058[/tex]

[tex]e_5 = 337-338.4025 = -1.4025[/tex]

[tex]e_6 = 466-497.4617 = -31.4517[/tex]

[tex]e_7 = 780-731.254 = 48.7459[/tex]

[tex]e_8 = 1087-1074.493 = 12.0566[/tex]

Step-by-step explanation:

For this case we assume the following exponential function:

[tex]\hat y_i = 49.3 (1.47)^x [/tex]

Where x represent the hours and y the predicted values for each hour. We can find the estimated values like this:

[tex]\hat y_1 = 49.3 (1.47)^1 =72.471[/tex]

[tex]\hat y_2 = 49.3 (1.47)^2 =106.5324[/tex]

[tex]\hat y_3 = 49.3 (1.47)^3 =156.6026[/tex]

[tex]\hat y_4 = 49.3 (1.47)^4 =230.2058[/tex]

[tex]\hat y_5 = 49.3 (1.47)^5 =338.4025[/tex]

[tex]\hat y_6 = 49.3 (1.47)^6 =497.4517[/tex]

[tex]\hat y_7 = 49.3 (1.47)^7 =731.254[/tex]

[tex]\hat y_8 = 49.3 (1.47)^8 =1074.943[/tex]

Now we can find the residuals with this formula:

[tex] e_i = Y_i -\hat y_i [/tex]

And replacing we got:

[tex]e_1 = 65-72.471=-7.471[/tex]

[tex]e_2 = 90-106.5324=-16.5324[/tex]

[tex]e_3 = 162-156.6026 = 5.3974[/tex]

[tex]e_4 = 224-230.2058 = -6.2058[/tex]

[tex]e_5 = 337-338.4025 = -1.4025[/tex]

[tex]e_6 = 466-497.4617 = -31.4517[/tex]

[tex]e_7 = 780-731.254 = 48.7459[/tex]

[tex]e_8 = 1087-1074.493 = 12.0566[/tex]

Answer:

Max revenue: R = $679.73

Step-by-step explanation:

total people = 100

each person orders 1 of 2 dishes

salad price = $10 - 0.04x

turkey price = $12 - 0.02*y^2

so  x + y = 100

s = 10 - 0.04x

t = 12 - 0.02*y^2

Revenue =  s*x  + t*y  

Revenue = (10 - 0.04x)*x  + (12 - 0.02y^2)*y

y = 100 - x

so

Revenue = (10 - 0.04x)*x  +  (12 - 0.02*(100 - x)^2 )*(100 - x)

R =

R = (10 - 0.04x)*x  +  (12 - 0.02*(100 - x)^2 )*(100 - x)

R = 10x - 0.04x*x  +  (12 - 0.02*(10000 - 200x + xx)  )*(100 - x)

R = 10x - 0.04x*x  +  (12 -  200 + 4x -0.02 xx  )*(100 - x)

R = 10x - 0.04x*x  +  (-188 + 4x -0.02 xx  )*(100 - x)

R = 10x - 0.04x*x  +  (-188 + 4x -0.02 xx  )*100  -x (-188 + 4x -0.02 xx  )

R = 10x - 0.04x*x  +  -18800 + 400x -2 xx   -x (-188 + 4x -0.02 xx  )

R = 10x - 0.04x*x  +  -18800 + 400x -2 xx   +  188x - 4xx +0.02 xxx  

R = 10x - 0.04x*x  +  -18800     +  588x     -6 xx  +   0.02 xxx  

R =   -18800     +  598x     -6.04 xx  +   0.02 xxx  

dR/dx = 598 - 12.08x  + 0.06 x^2

set = 0

598 - 12.08x + 0.06xx = 0

299 - 6.04x + 0.03xx = 0

x = -(-6.04)/(2*0.03)  +  root((-6.04)^2  - 4*0.03*299) / 2*0.03

x = 100.6667  - root(36.4816 - 35.88) / 0.06

x  = 100.6667 - 12.927

x = 87.739

so that is where you get the maximum revenue, when you sell 87.7 salad plates and 12.2605 turkey dishes

Revenue = (10 - 0.04*87.739)*87.739  + (12 - 0.02(12.2605)^2)*12.2605

Revenue = 569.464715  + 110.266

R = $679.7307

R = $679.73

To find the maximum revenue, differentiate the revenue functions of salads and turkey plates with respect to the number of salads sold, considering a total of 100 guests, find critical points, and use the second derivative test or sign changes to identify the maximum revenue. Ensure that the number of meals are integers.

To determine the maximum revenue for the food truck, we need to derive the revenue functions for salad and turkey plates and then find the total revenue function. Assuming s salads and t turkey plates are sold, the price functions are Ps(s) = 10 - 0.04s for salads and Pt(t) = 12 - 0.02t2 for turkey plates. The revenue functions would be Rs(s) = s × Ps(s) and Rt(t) = t × Pt(t). Because there are 100 guests, s + t = 100, hence t = 100 - s. We substitute t in Rt and add Rs and Rt for the total revenue R(s). To find the maximum revenue, we differentiate R(s) with respect to s, find critical points, and check these for the maximum value using the second derivative test or analyzing the sign changes of R'(s). Remember to check if the critical points result in s and t being positive integers, as per the conditions given.

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

The tip is $3.06

Step-by-step explanation:

To find the tip, take the amount of the bill and multiply by 18%

17 * 18%

17 * .18

3.06

The tip is $3.06

Answer:

A) H0: μ = 11 vs. Ha: μ > 11

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

Therefore, for the case above;

The null hypothesis is that the average number of headaches per student during a semester of Statistics is 11.

H0: μ = 11

The alternative hypothesis is that the average number of headaches per student during a semester of Statistics is greater than 11.

Ha: μ > 11

Final answer:

In hypothesis testing, the null hypothesis (H0) typically establishes a baseline or no-change condition, which in this case is the average number of headaches being 11 ( μ = 11). The alternative hypothesis (Ha) represents the claim under investigation, reflecting the belief that the average is greater than the claimed number, hence Ha: μ > 11. Option A is correct.

Explanation:

The student is working on a statistical hypothesis testing problem. The null hypothesis ( H0 ) is typically a statement of no effect or no difference and is tested against an alternative hypothesis ( Ha ) that represents the research claim. In this case, researchers claim that the average ( μ ) is 11 headaches per student, so the null hypothesis should reflect this as H0: μ = 11. Because the student believes the number of headaches is higher, the alternative hypothesis should reflect a greater than condition:Ha: μ > 11. Thus, the correct hypotheses to test the students' belief would be Option A: H0: μ = 11 vs. Ha: μ > 11.

Answer:

124.4

Step-by-step explanation:

12 x 9.95 = 119.4 dollars

119.4+5.00=124.4

The total cost is $124.40.

Answer:

Step-by-step explanation:

Answer:

124.4

Step-by-step explanation:

12 x 9.95 = 119.4 dollars

119.4+5.00=124.4

The total cost is $124.40.

Answer:

8

Step-by-step explanation:

Answer:

Wideness ≈ 40 m

He will be able to do it .

Step-by-step explanation:

He wants to estimate the width of a river so he can get to the other side to save the world . The width of the river is the side  AB. From the scale above 2 right angle triangle are formed . The smaller triangle is CDE and the larger triangle is  CAB.

The angle ECD can be gotten below

tan C = opposite/adjacent

tan C = 8/6

tan C = 1.3333

C = tan⁻¹ 1.333

C = 53.1301022854

C = 53. 13°

∠ACB = ∠ECD (vertically opposite angles)

Using the angle to find the wideness of the river AB in triangle CAB.

tan C = opposite/adjacent

tan 53.13° = AB/30

AB = 30 tan 53.13

AB = 30 × 1.33332837108

AB = 39.9998511323

AB ≈ 40 m

He will be able to do it.

Answer:

Step 1 : 1000 * 2 * 9

Step 2 : 1000 * 18

Step 3 : 18000

Step-by-step explanation:

Step 3

2000 * 9 = y ⇒ 18000

y = 18000

Step 1

Solving for this, we have:

Let a be the unknown variable

a * 2 * 9 = 18000

18a = 18000

a = 1000

Therefore, when we multiply 1000 by 2 & 9, we have 18000

Step 2

Solving for this, we have:

Let a be the unknown variable

a * 18 = 18000

18a = 18000

a = 1000

Therefore, when we multiply 1000 by 18, we have 18000

We therefore see that the value of the unknown variables (a, y) is shown above & the product of all the steps (step 1 - 3) is 18000

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

Answer:

12 cm³

Step-by-step explanation:

Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.

The volume of a sphere is denoted by: [tex]V=\frac{4}{3} \pi r^3[/tex] , where r is the radius.

The volume of a cylinder is denoted by: [tex]V=\pi r^2h[/tex], where r is the radius and h is the height. Plug in 2r for h and 18 for V:

[tex]V=\pi r^2h[/tex]

[tex]18=\pi r^2*2r=2\pi r^3[/tex]

[tex]\pi r^3=18/2=9[/tex]

Now plug in 9 for πr³ in the volume formula for the sphere:

[tex]V=\frac{4}{3} \pi r^3[/tex]

[tex]V=\frac{4}{3} *9=12[/tex]

The volume of the sphere is 12 cm³.

Answer:

Each side has a length of 11yd

Step-by-step explanation:

To calculate the side of the square we have to apply the formula of the perimeter of ​​a square and clear s

p = perimeter = 44yd

s = side

p = s * 4

p /4 = s

we replace with known values

44yd / 4 = s

11yd = s

Each side has a length of 11yd

Answer:

11

Step-by-step explanation:

The overall perimeter is all of the sides combined. If it is a square, then all of the sides are equal. 44 divided by 4 is 11.

Answer: The equation you could use is 4x = 3x + 3

Step-by-step explanation:

THE SQUARE

A square has sides with 4 equal sides. If one side is equal to x, then every other side is also x.

Add x + x + x + x to get the square’s perimeter.

The sqaure’s perimeter is 4x.

THE TRIANGLE

An equilateral triangle has equal sides too. If one side is x + 1, every other side is x + 1 too.

Add, (x + 1) + (x + 1) + (x + 1)

the triangles perimeter is 3x + 1

BOTH

The triangle and the square have the same perimeter. Therefore,

4x = 3x + 3. That is the equation.

( The solution would be x = 3, by the way)

Answer:

The 85% confidence interval for the mean per capita income in thousands of dollars is between $20.4 and $21.8.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.075 = 0.925[/tex], so [tex]z = 1.44[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.44\frac{12.6}{\sqrt{717}} = 0.7[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 21.1 - 0.7 = $20.4.

The upper end of the interval is the sample mean added to M. So it is 21.1 + 0.7 = $21.8.

The 85% confidence interval for the mean per capita income in thousands of dollars is between $20.4 and $21.8.

Answer:

Step-by-step explanation:

2x - 5

2(3) - 5

2 times 3 = 6

6-5=1

B) is the answer

I think the answer is B because you have to plug in 1 for the expression.

-Dhruva;)

Answer: The length of pencil is 16 centimetres and length of crayons is 8 centimetres

Step-by-step explanation:

Let the length of crayon =[tex]x[/tex]

Length of a pencil =[tex]2x[/tex]

As according to question that the sum of their length is 24 centimetres

So we have

[tex]x+2x=24\\\\\Rightarrow 3x= 24 \\\\\Rightarrow x= \dfrac{24}{3} =8[/tex]

Therefore the length of crayon = 8 centimetres

Length of pencil= [tex]2x= 2\times x = 2\times 8 =16[/tex] centimetres

Hence, the length of pencil is 16 centimetres and length of crayons is 8 centimetres

Answer:

The formula to find the volume of a hemisphere is 2TTr3 / 3, where pi is 3.14, and the radius is half of the diameter.

Step-by-step explanation:

Answer:

hiii, the answer would be

b. 2/3 pi 3

hope this helps :)

Step-by-step explanation:

i just did the assignment

Answer:

20

Step-by-step explanation:

Answer:

Distance between two points (x1, y1) and (x2, y2):

D = sqrt((x1 - x2)^2 + (y1 - y2)^2)

Then, distance between two points (5, 9) and (-7, -7):

D = sqrt((5 + 7)^2 + (9 + 7)^2) = sqrt(144 + 256) = sqrt(400) = 20

=> Option A is correct

Hope this helps!

:)

Answer:

30 + m = t

Step-by-step explanation:

I think this is correct. I am so sorry if it is not.. Good luck! :)

To determine the total time Mrs. Coloma walked her dog Moana, we use the equation t = 30 + m, where t represents the total time in minutes and m represents the additional minutes walked after school.

The question involves creating an equation that represents the total amount of time Mrs. Coloma spent walking her dog, Moana. The equation should include the time spent walking before and after school. We are given that the time spent walking before school was 30 minutes. Let m represent the additional minutes Mrs. Coloma walked Moana after school. The total time spent walking, represented by t, will be the sum of both these durations.

The equation representing the total time spent walking Moana is:

t = 30 + m

This equation can be used to calculate the total walking time once the value of m is known.

Answer:

(C)

Step-by-step explanation:

To find 70 percent of 82

Write 70 percent as 7*10 percent.

Write 10 percent as [tex]\frac{10}{100}= \frac{1}{10}[/tex].

Then, find [tex]\frac{1}{10}$ of 82[/tex]

[tex]82 X\frac{1}{10}=8.2[/tex]

Multiply 8.2 by 7: 8.2 X 7 =57.4

Therefore, 70 percent of 82 is 57.4.

The steps in Option C are the correct steps.

Answer:

The answer to ur question is C

Step-by-step explanation:

Answer:

a) 75.4 kg

b) [tex]h(W)=\frac{W+83}{2.2}[/tex]

Step-by-step explanation:

a) The ideal weight of a 6-foot (72 inches) male is given by simply applying h= 72 in to the expression:

[tex]W(72) = 49+2.2(72-60)\\W(72) =75.4\ kg[/tex]

b) Expressing height as a function of weight:

[tex]W(h)= 49+2.2(h-60)\\2.2h-132+49=W\\h(W)=\frac{W+83}{2.2}[/tex]

Verifying with W(h(W)):

[tex]W(h(W))= 49+2.2(\frac{W+83}{2.2} -60)\\W(h(W))= 49-132+W+83\\W(h(W))=W[/tex]

Verifying with h(W(h):

[tex]h(W(h))=\frac{(49+2.2(h-60))+83}{2.2}\\h(W(h))=\frac{(49+2.2h-132+83)}{2.2}\\h(W(h))=h[/tex]

Answer:

The verbal model and an algebraic expression representing Lindsay's total salary for the week is $400 + 0.15 d.

Step-by-step explanation:

The base salary of Lindsey is, B = $400.

The commission she earns on every sale made by her is, c = $0.15.

It is provided that Lindsey makes d dollars during the week.

The amount d dollars is the total commission earned by Lindsey in a week.

The formula to compute the commission earned will be represented by the expression:

C = c × $d

   = 0.15 d

The expression represent Lindsay's total salary for the week is:

Total Salary = Base Salary + Total Commission

                    = B + C

                    = $400 + 0.15 d

Thus, the verbal model and an algebraic expression representing Lindsay's total salary for the week is $400 + 0.15 d.

Answer:

okay my daughter is in 6th grade so the answer is c 45 dollars per 3 hours

Step-by-step explanation:

Answer:

0.0183 = 1.83% probability that the mean battery life would be greater than 619 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

[tex]\mu = 606, \sigma = 62, n = 99, s = \frac{62}{\sqrt{99}} = 6.23[/tex]

What is the probability that the mean battery life would be greater than 619 minutes?

This is 1 subtracted by the pvalue of Z when X = 619. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{619 - 606}{6.23}[/tex]

[tex]Z = 2.09[/tex]

[tex]Z = 2.09[/tex] has a pvalue of 0.9817

1 - 0.9817 = 0.0183

0.0183 = 1.83% probability that the mean battery life would be greater than 619 minutes