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BabaBlast [244]

3 years ago

15

A chocolate factory made 708.6 pounds of dark chocolate in 6 days. How much dark chocolate, on average, did the factory make per

day?

1 answer:

OLEGan [10]3 years ago

3 0

Answer:

118.1

Step-by-step explanation:

You need to divide 708.6 by 6 to get the amount of chocolate in one day

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] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was

Bad White [126]

Answer:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

$\hat p=\frac{502}{1045}=0.480$ estimated proportion of college graduates with a mentor

$p_o=0.42$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:

Null hypothesis: $p \leq 0.42$

Alternative hypothesis: $p > 0.42$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0

3 years ago

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the

maxonik [38]

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

$P(X > x) = \frac{b - x}{b - a}$

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that $a = 0.95, b = 1.05$

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

$P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5$

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

$P(X > x) = 0.9$

So

$\frac{1.05 - x}{1.05 - 0.95} = 0.9$

$1.05 - x = 0.9*0.1$

$x = 1.05 - 0.9*0.1$

$x = 0.96$

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

4 0

2 years ago

Assume you wanted to save $2,000 to buy a used car 18 months from now. How much money do you need to save every week to accompli

Evgesh-ka [11]

$500 as you take $2000/4 weeks

3 0

2 years ago

Find the x- and y-intercepts of the line x - 3y= -9

forsale [732]

Answer:

D

Step-by-step explanation:

To find the intercepts, that is where the line crosses the x and y axes

• Let x = 0, in the equation for y-intercept

• Let y = 0, in the equation for x- intercept

x = 0 : - 3y = - 9 ⇒ y = 3 ⇒ (0, 3) ← y- intercept

y = 0 : x = - 9 ⇒ (- 9, 0 )← x- intercept

3 0

2 years ago

Read 2 more answers

Is 5 3/8 greater than 5 4/10

Lostsunrise [7]

Answer:

False

Step-by-step explanation:

5 3/8 > 5 4/10

4 0

2 years ago