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3 years ago

15

if the cost, C, for manufacturing x units of a certain product is given by C=x^2-20x+30, find the number units manufactured at a

cost of $10,955

1 answer:

ehidna [41]3 years ago

4 0

Here is the set up:

10,955 = x^2 -20x + 30

Solve for x to find your answer.

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The figure maggie coloured was 216.

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3 years ago

The cost to make a Nike shoe is $20 USD and the store wants to make a profit of 75% of the cost price.

Alenkasestr [34]

so 75%of 20 is 15.00

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3 years ago

A television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Angelina_Jolie [31]

Answer: a)2206 b) 2209

Step-by-step explanation:

Formula to find the sample size :

a) If prior population proportion (p) is known.

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

b) If prior population proportion (p) is unknown.

$n=0.25(\dfrac{z_{c}}{E})^2$

where, ${z_{c}$ is the z-value associated with confidence level and E would be the margin of error .

Solution : Let p be the proportion of citizens who "follow professional football."

a) Given : p=0.48

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.48(1-0.48)(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2205.4656\approx2206$ [Rounded to the next whole number.]

∴ The sample size is <u>2206</u>.

b) Proportion of citizens who "follow professional football" is unknown.

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=0.25(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.25(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2209$

∴ The sample size is <u>2209</u>.

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3 years ago

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3 years ago

The volume of a box of soup broth is 972 cubic centimeters. The box is 20 centimeters high and 10.8 centimeters long. How wide i

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V=l*w*h
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w=4.5

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3 years ago

Read 2 more answers