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3 years ago

Help me with this pythagorean theorem please for 20 points.

Mathematics

1 answer:

harina [27]3 years ago

6 0

Answer:

3 root 7

Step-by-step explanation:

h^2 = b^2 + a^2

12 square = b square + 9 square

144 = b^2 + 81

144-81 = b^2

63 = b^2

b = root of 63

b = root 7 x root 9 ................( since 7x9=63)

b = 3 root 7 ..............( since root of 9 is 3)

PLS mark me as BRAINLIEST

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If p(x) = 3x – 2and n (x) = 2x – 5, what is the value of (n/p) (1)?

Liula [17]

Answer:

-3

Step-by-step explanation:

We want (n/p)(1). We can obtain this by finding n(1) and p(1) and then dividing as indicated:

p(1) = 3(1) - 2 = 1

n(1) = 2(1) - 5 = -3

Then (n/p) (1) = -3/1, or just -3

5 0

3 years ago

An insurance company selected a random sample of 500 clients under 18 years of age and found that 180 of them had had an acciden

Butoxors [25]

Answer:

a) The pooled proportion is p=0.3.

b) P-value = 0.000078

c) Lower bound = 0.0556

d) Upper bound = 0.1644

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the accident proportions differ between the two age groups .

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

The significance level is 0.05.

The sample 1, of size n1=500 has a proportion of p1=0.36.

$p_1=X_1/n_1=180/500=0.36$

The sample 2, of size n2=600 has a proportion of p2=0.25.

$p_1=X_1/n_1=150/600=0.25$ .

The difference between proportions is (p1-p2)=0.11.

$p_d=p_1-p_2=0.36-0.25=0.11$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{180+150}{500+600}=\dfrac{330}{1100}=0.3$

The standard error for the difference between proportions can now be calculated as:

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3*0.7}{500}+\dfrac{0.3*0.7}{600}}\\\\\\s_{p1-p2}=\sqrt{0.00042+0.00035}=\sqrt{0.00077}=0.0277$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.11-0}{0.0277}=\dfrac{0.11}{0.0277}=3.964$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=2\cdot P(t>3.964)=0.000078$

As the P-value (0.000078) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the accident proportions differ between the two age groups.

If we want to calculate the bounds of a 95% confidence interval, we start by calculating the margin of error.

For a 95% CI, the critical value for z is z=1.96.

Then, the margin of error is:

$MOE=z \cdot s_{p1-p2}=1.96\cdot 0.0277=0.0544$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.11-0.0544=0.05561\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.11+0.0544=0.16439$

The 95% confidence interval for the population mean is (0.0556, 0.1644).

5 0

3 years ago

3 TRUE OR FALSE QUESTIONS!!! PLEASE HELP!

Vesna [10]

Question 11:

Isometry is a transformation the preserves the distance and there is no change in the distances. It includes rotation, reflection and translation . Hence the figures are congruent. So the statement is false

Question 12:

A reflection is a transformation where every point of the line is of equal distance from a particular line called the line of reflection

Hence this statement is true

Question 13:

The angle of rotation is the turning of every angle of a figure about a specific fixed point in a specific degree. Hence the statement is true

4 0

3 years ago

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Element X is a radioactive isotope such that every 27 years, its mass decreases by half. Given that the initial mass of a sample

mafiozo [28]

Answer:e

Step-by-step explanation:

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3 years ago

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Please help me please will give brainliest to anyone who is good <br><br>show your work

lara [203]

Answer:

B - 1/9

Step-by-step explanation:

I don't really know how to explain how I got it because I'm only in middle school in pre-algebra, but I did teach this to myself online haha, so here we go. Daneille rolled the dice 90 times, it only landed on 6 10 times. That is 10/90 which, simplified, is 1/9.

7 0

3 years ago