Each box of Fred’s Fudge is constructed from 2 triangles and 3 rectangles. What is the shape of each box?

If the average (arithmetic mean) of 2,7, and x is 12, what is the value of x

guajiro [1.7K]

x is equal to 27.

In order to find the value of x, you have to use the average formula and solve for the missing variable. The mean formula is all of the numbers added together divided by the number of inputs.

(inputs added)/(number of inputs) = Average

(2 + 7 + x)/3 = 12 ----> Multiply by 3

9 + x = 36 ----> Subtract 9

x = 27

3 0

2 years ago

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

mamaluj [8]

Answer:

The 95% confidence interval the average maximum power is (596.0 to 644.0)

Step-by-step explanation:

Average maximum of the sample = x = 620 HP

Standard Deviation = s = 45 HP

Sample size = n = 16

We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.

Degrees of freedom = df = n - 1 = 15

Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = $t_{\frac{\alpha}{2}}$ = 2.131

The formula to calculate the confidence interval is:

$(x-t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} }, x+t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} })$

We have all the required values. Substituting them in the above expression, we get:

$(620-2.131 \times \frac{45}{\sqrt{16} }, 620+2.131 \times \frac{45}{\sqrt{16} })\\\\ =(596.0 , 644.0)$

Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)

7 0

2 years ago

cho used 2 1/3 cups of flour to bake a cake. she used 3 1/4 cups of flour to bake a loaf of bread. how much more flour did cho u

OlgaM077 [116]

3 1/4 - 2 1/3 =
13/4 - 7/3 =
39/12 - 28/12 =
11/12

4 0

2 years ago

Read 2 more answers

Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a

viktelen [127]

Answer:

A. One pound of pistachios plus 1 pound of almonds cost $20

C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.

E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.

Step-by-step explanation:

Let

x ----> the cost of one pound pistachios

y ----> the cost of one pound of almonds

we know that

x=y+4 -----> equation A

2x+3y=48 -----> equation B

substitute equation A in equation B and solve for y

2(y+4)+3y=48

2y+8+3y=48

5y=48-8

y=8

Find the value of x

x=8+4 =12

therefore

The cost of one pound pistachios is $12 and the cost of one pound of almonds is $8

Verify all statements

case A) One pound of pistachios plus 1 pound of almonds cost $20.

Is True

x+y=$12+$8=$20

case B) The pistachios cost twice as much per pound as the almonds

Is false

Because

2y=2(8)=$16

$16≠$12

case C) Reducing the number of pounds of almonds by 1 results in a total cost of $40

Is True

Because

2x+2y=2(12)+2(8)=$40

case D) The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48.

Is false

The equation will be

2(a + 4) + 3a = 48.

case E) The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48

Is true

Because

p=a+4

Solve for a

a=p-4

8 0

2 years ago

A company sells Apple Cherry mix.They make large batches of the mix that can be used to fill 250 bags each. Determine how many p

Eva8 [605]

Calculating the number of kg of each ingredient required per batch is nothing more than multiplying the number of kg per bag times 250. But the information given is woefully inadequate for answering the second part of the question. All you know is the cost of the ingredients and nothing about the fixed costs of running the factory, nor the company's G&A, nor the desired profit margin. If they sell just for the cost of the ingredients, they would go broke in a month.

John
e^i^pie + 1 = 0

5 0

2 years ago