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3 years ago

What is the value of this expression? (−4)4

Mathematics

2 answers:

alisha [4.7K]3 years ago

7 0

It should be -16, assuming you are asking for -4*4. If you meant -4^4 (-4 to the fourth power) then the answer is 256.

olchik [2.2K]3 years ago

3 0

The question is asking for the product of these two terms.

First you need to consider the sign, remember the following rules:
positive * positive = positive
negative * negative = negative
positive * negative = negative
negative * positive = negative

In the question, we have a negative term and a positive term, therefore, the answer would be negative.
Now considering the two numbers: 4*4 = 16

Based on the above and taking the sign into consideration, the answer would be as follows:
(-4)(4) = -16

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An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that th

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Answer:

correct option is D.0.0019

Step-by-step explanation:

given data

journal reports p = 34%

random sample n = 225

yielded = 97

solution

we get here first Sample proportion that is

Sample proportion p1 = $\frac{97}{225}$ ...............1

Sample proportion p1 = 0.4311

and here Null hypothesis is

H0 = p ≤ 0.34 ........................2

and

for Alternate hypothesis is

Ha = p > 0.34 ..........................3

so we get here z statistics that is express as

z = $\frac{p1- p}{\sqrt{\frac{p(1-p)}{n}}}$ ....................4

put here value and we get

$z = \frac{0.4311-0.34}{\sqrt{\frac{0.34(1-0.34)}{225}}}$

solve it we get

z = 2.88468

so here p-value for a test will be

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3 years ago

aren wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 51

torisob [31]

Answer:

The 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is between 4.68 and 13.52.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the students' t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 51 - 1 = 50

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 50 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975([tex]t_{975}$ ). So we have T = 2.01

The margin of error is:

M = T*s = 2.01*2.2 = 4.42

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.1 - 4.42 = 4.68

The upper end of the interval is the sample mean added to M. So it is 9.1 + 4.42 = 13.52

The 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is between 4.68 and 13.52.

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3 years ago