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defon
3 years ago
13

Pls help due ASAP Show workings

Mathematics
2 answers:
ElenaW [278]3 years ago
7 0

Answer:

YW = 6

Step-by-step explanation:

a^2 + b^2 = c^2

x^2 + 8^2 = 10^2

x^2 + 64 = 100

x^2 + 64 - 64 = 100 - 64

x^2 = 36

√x^2 = √36

x = 6

agasfer [191]3 years ago
5 0

Line YW is equal 6 feet

Step-by-step explanation:

I used the pythagorean theorem

1. 8 squared plus b squared equals 10 squared

2. 64 plus b squared equals 100

3. 100 - 64 equals 36

4. B squared equals 36

5. square root both sides

6. b equals 6 feet

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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
Solve for x. Enter your answer in interval notation using grouping symbols <br> X^2 + 5x &lt; 24
icang [17]
I think the correct answer would be : (-8,3)
I hope this helps !
7 0
3 years ago
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Goryan [66]

Answer:

x=4

Step-by-step explanation:

8 0
3 years ago
Different parts of the circulatory system are adapted for different functions. A blood vessel that is very narrow and has thin w
ivann1987 [24]

Answer: I believe the answer is O passing materials in blood to cells

Step-by-step explanation:

The thin walls of the capillaries allow oxygen and nutrients to pass from the blood into tissues and allow waste products to pass from tissues into the blood.

More info: Capillaries

Capillaries - Enable the actual exchange of water and chemicals between the blood and the tissues. They are the smallest and thinnest of the blood vessels in the body and also the most common. Capillaries connect to arterioles on one end and venules on the other.

7 0
3 years ago
What is 120% of 15???
dezoksy [38]
120/100 = x/15
100x = 1800 (Divide by 100 on both sides)
x = 18

5 0
3 years ago
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