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3 years ago

Dilations of a triangle are congruent to the original triangle. true or false

Mathematics

1 answer:

7nadin3 [17]3 years ago

6 0

Answer true

Step-by-step explanation:

true

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Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary s

tigry1 [53]

<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ is the sample proportion, n is the sample size , $z_{\alpha/2}$ is the critical z-value.

The values needed to calculate a confidence interval at the 99% confidence level are :

Given : Significance level : $\alpha:1-0.99=0.01$

Sample size : n=450

Critical value : $z_{\alpha/2}=2.576$

Sample proportion: $\hat{p}=\dfrac{280}{450}\approx0.62$

Now, the 99% confidence level will be :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.62\pm(2.576)\sqrt{\dfrac{0.62(1-0.62)}{450}}\\\\\approx0.62\pm0.023\\\\=(0.62-0.023,\ 0.62+0.023)=(0.597,\ 0.643)$

Hence, the 99% confidence interval is $(0.597,\ 0.643)$

6 0

3 years ago

Jacob translated figure ABCD 3 units up to form figure EFBA. Then he translated figure EFBA 1 unit down and 4 units right to for

Eva8 [605]

Because they are all translations, FB=BC=AD, so the segment FC is 6
Hope that helps!

7 0

3 years ago

Choose the number sentence that shows the distributive property of multiplication over addition.

Anarel [89]

we know that

distributive property of multiplication over addition:

$a \times (b+c)=a \times b + a \times c$

now, we will verify each options

option-A:

3 × (4 + 5) = (3 × 4) + (3 × 5)

We can see that both sides match with property

so, this is TRUE

option-B:

3 × (4 + 5) = (3 + 4) × (3 + 5)

We can see that right side does not match with property

so, this is FALSE

option-C:

3 × (4 + 5) = (3 × 4) + 5

We can see that right side does not match with property

so, this is FALSE

4 0

4 years ago

Molly is wrapping up part of sandwiches to sell at her sandwich cart. She cuts each sandwich in fourths and then wrap each fourt

Naily [24]

There fractions not holes

8 0

3 years ago

Part three out of six

Zinaida [17]

A) 1x24
2x12
3x8
4x6
B) 1x40
2x20
4x10
5x8
C) the highest common is 8

hope this will help you

3 0

3 years ago