−50/54−40%+1.65

Bruno bought 96 pounds of sugar for his bakery. Every day he used the same amount of sugar to make bakery items. After 10 days,

Tamiku [17]

Each day he uses 8.08 pounds of sugar

7 0

4 years ago

Read 2 more answers

Do the ratios 4/3 and 16/12 form a proportion

tatiyna

Answer:

yes

Step-by-step explanation:

if the cross-products are equal then the two fractions form a proportion:

is 4(12) = 3(16) ?

yes, 48=48

3 0

2 years ago

Read 2 more answers

A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use. The company's promotion

Vlad [161]

Answer:

The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.

Step-by-step explanation:

The company's promotional literature claimed that under 64% fail in the first 1000 hours of their use.

At the null hypothesis, we test if the proportion is of at least 64%, that is:

$H_0: p \geq 0.64$

At the alternative hypothesis, we test if the proportion is of less than 64%, that is:

$H_1: p < 0.64$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

64% is tested at the null hypothesis:

This means that $\mu = 0.64, \sigma = \sqrt{0.64*0.36}$

A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use.

This means that $n = 900, X = 0.61$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.61 - 0.64}{\frac{\sqrt{0.64*0.36}}{\sqrt{900}}}$

$z = -1.88$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.61, which is the p-value of z = -1.88.

Looking at the z-table, z = -1.88 has a p-value of 0.0301.

The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.

8 0

3 years ago

You select a card at random from the cards that make up the word "replacement". Without replacing the card, you choose a second

lutik1710 [3]

Answer:

The probability is 14/55

Step-by-step explanation:

The word replacement contains 11 letters.

In which 4 letters are vowel = e,a,e,e

And 7 letters are not vowel = r,p,l,c,m,n,t

The probability of getting the vowel in the first try = 4/11

The probability of getting something that is not a vowel = 7/10.

The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.

Multiply the values:

=4/11 * 7/10

=28/110

=14/55

The probability is 14/55....

5 0

3 years ago

4. 7G4 - M

nexus9112 [7]

You need to find the radius. It is half the diameter
The radius is 2.5
C=2 pi r
C=2 times 2.5= 5. 5 times pi= 15.7
The answer is 15.7

6 0

3 years ago

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−50/54−40%+1.65