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3 years ago

Someone please help! what is the measure of x?

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

6 0

Answer:

its 33

Step-by-step explanation:

steposvetlana [31]3 years ago

6 0

1. The sum of angles in a triangle is 180°. From this, you know the third angle is 33°
2. Vertical angles are congruent. From this, you know that angle c is also 33°
3. Corresponding angles are consumer. From this, you know that x is 33°

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In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0

3 years ago

The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is s

liubo4ka [24]

ANSWER:

The average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.

STEP-BY-STEP EXPLANATION:

The cental limit theorem states, that id the sample size is large (30 or more), then the sampling distribution of the sample means is approximately normal with mean ц and standar deviation б/ $\sqrt{n}$

Thus the correct answer is the average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.

6 0

3 years ago

Find the value of the variables. Diagram above.<br> Tysm please help very urgent!

serious [3.7K]

Answer:

If you look at the different triangles in the star they give you two angles....

all of the points in a triangle would be equal and you just subtract 24 from 105

x is 24 and y is 81

Step-by-step explanation:

8 0

3 years ago

When the prefix milli is used, it means multiply the number by ? ?

valina [46]

1 meter = 1000 millimeters

so, 5 meters = 5*1000 = 5000 millimeters

and 6000 millimeters = 6000 / 1000 = 6 meters

3 0

3 years ago

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

MAVERICK [17]

You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this: $x^{2} +4x=-10$ . Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides: $( x^{2} +4x+4)=-10+4$ and simplify to get $( x^{2} +4x+4)=-6$ . In this process we have created a perfect square binomial on the left, which happens to be $(x+2) ^{2}=-6$ . Now move the -6 back over by addition to get $(x+2) ^{2} +6=y$ . The vertex is found at (-2, 6), the third choice down.

7 0

3 years ago

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