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3 years ago

Can someone solve this?

Mathematics

1 answer:

inn [45]3 years ago

6 0

Answer:

1. 15 degrees.

2. 90 degrees.

3. 66 degrees.

Step-by-step explanation:

M and 2 appear to be 90 degrees. This is because there are parallel sides on the left and right of the kite. So, 2 is 90 degrees.

E and 75 are corresponding (I don't remember the postulate or whatnot) so 90 degrees plus 75 degrees is 165 degrees. There are 180 degrees in a triangle, so 180 minus 165 is 15. 1 Has to be 15 degrees.

3 is 66 degrees since it is corresponding with the angle on the other side of T (I, once again, do not remember the postulate).

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Does someone mind helping me with this problem? Thank you!

Grace [21]

Step-by-step explanation:

∠A + ∠B + ∠C = 180°

Here the value of ∠B and C is given below...we need to find the value of ∠A ....

a + 120° + 40° = 180°

a + 160° = 180°

a = 160° - 180°

a = 20°

$...$

4 0

2 years ago

Vitamin D, whether ingested as a dietary supplement or produced naturally when sunlight falls on the skin, is essential for stro

tigry1 [53]

Answer:

a) The 98% confidence interval would be given (0.182;0.218).

b) We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

c) If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

d) Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

Step-by-step explanation:

Data given and notation

n=2700 represent the random sample taken

X represent the people in England who are deficient in Vitamin D

$\hat p=0.2$ estimated proportion of England people who are deficient in Vitamin D

$\alpha=0.02$ represent the significance level

Confidence =0.98 or 98%

z would represent the statistic (variable of interest)

p= population proportion of England people who are deficient in Vitamin D

Part a

The confidence interval would be given by this formula

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

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.33$

And replacing into the confidence interval formula we got:

$0.20 - 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.182$

$0.20 + 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.218$

And the 98% confidence interval would be given (0.182;0.218).

Part b

We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

Part c

If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

Part d

Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

3 0

3 years ago

A translation will make a figure?

Naddik [55]

Answer:

No it will only move the geometric figure

3 0

3 years ago

The number of professors in a college is p and the number of students is s, there are 16 times as many students as professors wr

Reika [66]

Algebraic expression is:

$\boxed{p=16x}$

8 0

3 years ago

Find the volume of the prism.

leonid [27]

Answer:

Step-by-step explanation:

Volume = L × W × H

Length L = 17in

Width W = 7in

Height H = 7in

Volume V = 17×7×7

V = 833

Volume = 833 in^3

6 0

3 years ago