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Katarina [22]
3 years ago
11

Marr you made 3 gallons of punch for a party when the party was over he had 3 quarts of punch left over how many quarts of punch

to the guest at the Party drink
Mathematics
1 answer:
Inga [223]3 years ago
5 0
The guest drank 9 quarts at the party
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HighTech Inc. randomly tests its employees about company policies. Last year in the 560 random tests conducted, 26 employees fai
Tanzania [10]

Answer:

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

560 random tests conducted, 26 employees failed the test. This means that n = 560, \pi = \frac{26}{560} = 0.046

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.33.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 - 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.025

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 + 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.067

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

5 0
3 years ago
Determine an equivalent algebraic monomial expression using the laws of exponents. Show your work.
Serga [27]

The equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

<h3>How to determine an equivalent algebraic monomial expression?</h3>

The expression is given as:

(-8a^5b)(3ab^4)

Multiply -8 and 3

So, we have:

(-8a^5b)(3ab^4) = (-24a^5b)(ab^4)

Multiply a^5 and a (a^5 * a = a^6)

So, we have:

(-8a^5b)(3ab^4) = (-24a^6b)(b^4)

Multiply b and b^4

So, we have:

(-8a^5b)(3ab^4) = -24a^6b^5

Hence, the equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0
2 years ago
Jennifer makes 45 blueberry muffins using 6 cups of flour. What is the ratio of cups of flour to blueberry muffins?\
likoan [24]

Answer:

6:45

Step-by-step explanation:

7 0
3 years ago
Find the general solution of the given differential equation. y'' + 2y' + 5y = 3 sin 2t
atroni [7]
Consider, pls, this option.
Please, change the design according to local requirements.

8 0
3 years ago
Please help me with this
Slav-nsk [51]

Answer:

21.....

Step-by-step explanation:

hope this helps

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3 years ago
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