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vaieri [72.5K]
3 years ago
14

I need help with this look at picture Complementary angles

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0
<h3>Answer:  x = 5</h3>

============================================================

Explanation:

The square marker indicates a 90 degree, or right angle.

The two smaller angles (3x and 75) both combine to the larger 90 degree angle. That's what it means when they say we have complementary angles.

Add up the smaller angles, set the sum equal to 90, and solve for x.

3x+75 = 90

3x+75-75 = 90-75 ....... subtracting 75 from both sides

3x = 15

3x/3 = 15/3 ..... divide both sides by 3

x = 5

---------------

If x = 5, then 3x = 3*5 = 15

Then we can see that 15+75 = 90 to help check our answer.

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Tell whether each statement about the expression 5y + 9 is True or False.
pishuonlain [190]

Answer:

False.

Step-by-step explanation:

The number 5 IS a coefficient because it is the first number in the expression.

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3 years ago
5x(x-4) simplify distributive property
ser-zykov [4K]

Answer:

5x^2-20x

Step-by-step explanation:

distribute the 5x to the x and the -4

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3 years ago
Read 2 more answers
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).

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To decompose a fraction to one whole, there are different methods to use. The fraction can be decomposed either by division, multiplication(if there are more than one fraction), or addition(if there are more than one fractions).

Example:

Given 8/2, decompose by division:

To do this, divide the numerator by denominator

\frac{8}{2}=4

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If the volume of a cube is 1,728 cubic inches, find the side length of each of its sides.
krok68 [10]

Recall that the volume of a cube equals (side)^3. We can create an equation to model this.

1728 in^3 = (side)^3

We can get the cube root of both sides.

12 in = side

Each side is 12 inches long.

8 0
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