Round up 395,621 to the nearest ten thousand

Mathematics

1 answer:

jeyben [28]3 years ago

4 0

396,000
because 5 goes up and anything lower than five stays the same

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Han's house is 450 meters from school. Lin's house is 135 meters closer to school. how far is Lin's house from school

Vinvika [58]

Answer:

315 meters

Step-by-step explanation:

450-135=315

8 0

3 years ago

Read 2 more answers

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

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor

Dimas [21]

Let $x$ be the length of the side of the hot tub. Ricardo wants the pool's sides to be 5 times as long, so

$5x=24\implies x=\dfrac{24}5=4.8\text{ ft}$