What is value of the expression (6^1/2)^2

This property says you can rewrite 3 x (4 + 5) as (3 x 4) + (3 x 5).

Varvara68 [4.7K]

3 x (4 + 5) as (3 x 4) + (3 x 5)
This is the distributive property

6 0

3 years ago

In a previous poll, 40% of adults with children under the age of 18 reported that their family ate dinner together seven night

natali 33 [55]

Answer:

We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remained same.

Step-by-step explanation:

We are given that in a previous poll, 40% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week.

Suppose that, in a more recent poll, 456 of 1194 adults with children under the age of 18 reported that their family ate dinner together seven nights a week.

Let p = proportion of families with children under the age of 18 who eat dinner together seven nights a week.

SO, Null Hypothesis, $H_0$ : p $\geq$ 40% {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remained same}

Alternate Hypothesis, $H_A$ : p < 40% {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased}

The test statistics that would be used here One-sample z test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of families with children under the age of 18 who eat dinner together seven nights a week = $\frac{456}{1194}$ = 0.38

n = sample of adults = 1194

So, the test statistics = $\frac{0.38-0.40}{\sqrt{\frac{0.38(1-0.38)}{1194} } }$

= -1.424

The value of z test statistics is -1.424.

Now, at 0.01 significance level the z table gives critical value of -2.326 for left-tailed test.

Since our test statistic is more than the critical value of z as -1.424 > -2.326, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remained same.

8 0

4 years ago

What are the two constants of proportionality for the relationship between distance in kilometers

andrezito [222]

We call the ratio between two directly proportional quantities the constant of proportionality. When these two quantities may increase or decrease, the constant proportionality always remains the same

5 0

3 years ago

URGENTTTTT

notka56 [123]

Answer:

so if you have f(x)=-3(x+1)^2 (x-3) (x-5)^3.Step-by-step explanation:

8 0

2 years ago

Find the value of the combination. 5C5 A:1 B:5 C:0

Olenka [21]

Answer:

A:1

Step by step explanations:

C(n,r)=C(5,5)

n=5

r=5

=n! / (r!(n-r)!)

=5! / (5!(5-5)!)

=1

6 0

3 years ago