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2 years ago

2. Find the missing side length of the right triangle below?

Mathematics

2 answers:

Rudik [331]2 years ago

6 0

Answer:

x=16

Step-by-step explanation:

Use Pythagoras's Therom.

a^2+b^2=c^2

Insert the values.

12^2+x^2=20^2

Now simplify.

144 + x^2 = 400

Isolate x by subtracting 144 from both sides.

x^2= 400-144= 256

Take the square root of both sides.

x=16

Hope this helps!

strojnjashka [21]2 years ago

3 0

Answer:

The answer for the missing side length is 16

Step-by-step explanation:

You have to use Pythagorean's Theorem $a^2 + b^2 = c^2$

$c^2$ is the hypotenuse, which is 20 in this case

$a^2$ is the bottom, which is 12

and you have to solve for $b^2$

$a^2 + b^2 = c^2$

$12^2 + b^2 = 20^2$

$b^2 = 20^2 - 12^2$

$b^2 = 400 -144$

$\sqrt{b^2} = \sqrt{256}$ This cancels out the exponent

$b = 16$

That's the missing side length

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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

Yes or no help please

maria [59]

Answer:

Step-by-step explanation:

the quantities are not proportional because 7/8 is greater than 2/4. Hope this helps!

8 0

3 years ago

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