X = # of cans of tomatoes, y = # of cans of corn

x + y = 32.....y = 32 - x
0.80x + 0.40y = 18

0.80x + 0.40(32 - x) = 18
0.80x + 12.8 - 0.40x = 18
0.80x - 0.40x = 18 - 12.8
0.40x = 5.2
x = 5.2 / 0.40
x = 13 <=== 13 cans of tomatoes were bought

leaving (32 - 13) = 19 cans of corn bought

4 0

3 years ago

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 1

xeze [42]

The test statistic z is 2.33, the p-value corresponding to the test statistic z value is 0.0099.

<h3>What is Probability?</h3>

Probability is the measure of the likeliness of happening of an event.

The mean of the data is 15.07 centimeters

The standard deviation of the data is 0.26 centimeters.

n = 75

Significance Level ∝ = 0.01

According to the null and alternative hypothesis

Hₐ : $\rm \mu$ ≤15 vs H₁ : $\rm \mu$ >15

The test statistic z is given by

$\rm Z = \dfrac{(X-\mu)}{\sigma/\sqrt{n}}$

Z = ( 15.07 -15)/(0.26/√75)

Z = 2.33

The p-value corresponding to z value is 0.0099

as p-value < significance level, therefore the H₁ : $\rm \mu$ >15 is acceptable.

No, significant evidence is not present to tell that the length of bolts is actually greater than the mean value at a significance level of 0.01.

To know more about Probability

brainly.com/question/11234923

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3 0

2 years ago