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Ivahew [28]
3 years ago
9

A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling​ p

rocess, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on​ target, quality control inspectors take a random sample of 25 ravioli and measure the weight of cheese filling. They find a sample mean weight of 15 grams with a standard deviation of 1.5 grams. What is the margin of error at​ 90% confidence?
Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

The margin of error at 90% confidence is 0.5133 gram.

Step-by-step explanation:

Margin of error (E) = (critical value × sample standard deviation) ÷ sqrt(n)

sample standard deviation = 1.5 grams

confidence level = 90% = 0.9

significance level = 1 - C = 1 - 0.9 = 0.1 = 10%

n (sample size) = 25

degree of freedom = n - 1 = 25 - 1 = 24

critical value (t) corresponding to 24 degrees of freedom and 10% significance level is 1.711

E = (1.711×1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 gram

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3 years ago
The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference
alukav5142 [94]

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 =  \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 =   \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6

Therefore, the common difference is 6.

4 0
3 years ago
Last​ month, Stephen neighbors paid him to take care of their fish when they went on vacation. HeHe spent ​$5 of his earnings on
Ira Lisetskai [31]

Answer:

Stephen's neighbors paid Stephen no more that $28.

Step-by-step explanation:

Given:

Stephen spent $5 of his earnings on snack.

He spent $17 in a new book.

He is left with no more than $6 left.

To describe how much Stephen's neighbors paid him.

Solution:

Let Stephen's earnings in dollars be = x

Amount left after spending on snacks in dollars = x-5

Amount left after spending on a new book in dollars = x-5-17 = x-22

The amount remaining is no more than $6.

Thus, the inequality representing the situation can be given as:

x-22\leq6

Solving for x

Adding 22 both sides.

x-22+22\leq6+22

x\leq 28

Thus, Stephen's neighbors paid Stephen no more that $28.

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3 years ago
This graph shows the function relationship between the number of hours worked and the money earned. Use the information in the g
yaroslaw [1]

Answer:

A) $180

Step-by-step explanation:

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3 years ago
(-2-√3) (-2+√3) when simplified is​
Ksivusya [100]

Answer:

=1

Step-by-step explanation:

(-2-√3)(-2+√3)

=-2(-2+√3)-√3(-2+√3)

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=4-3

=1

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3 years ago
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