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trasher [3.6K]
3 years ago
5

Please help me, marking brainliest if correctly

Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0

Answer:

x = -11

Step-by-step explanation:

The measure at angle 2 should equal 80 degrees.

You are given that it is equal to x+91. So,

x+91 = 80

x = -11

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The scientist performs additional analyses and observes that the number of major earthquakes does appear to be decreasing but wo
kifflom [539]

Answer:

Step-by-step explanation:

Hello!

A regression model was determined in order to predict the number of earthquakes above magnitude 7.0 regarding the year.

^Y= 164.67 - 0.07Xi

Y: earthquake above magnitude 7.0

X: year

The researcher wants to test the claim that the regression is statistically significant, i.e. if the year is a good predictor of the number of earthquakes with magnitude above 7.0 If he is correct, you'd expect the slope to be different from zero: β ≠ 0, if the claim is not correct, then the slope will be equal to zero: β = 0

The hypotheses are:

H₀: β = 0

H₁: β ≠ 0

α: 0.05

The statistic for this test is a student's t: t= \frac{b - \beta }{Sb} ~~t_{n-2}

The calculated value is in the regression output t_{H_0}= -3.82

This test is two-tailed, meaning that the rejection region is divided in two and you'll reject the null hypothesis to small values of t or to high values of t, the p-value for this test will also be divided in two.

The p-value is the probability of obtaining a value as extreme as the one calculated under the null hypothesis:

p-value: P(t_{n-2}\leq -3.82) + P(t_{n-2}\geq  3.82)

As you can see to calculate it you need the information of the sample size to determine the degrees of freedom of the distribution.

If you want to use the rejection region approach, the sample size is also needed to determine the critical values.

But since this test is two tailed at α: 0.05 and there was a confidence interval with confidence level 0.95 (which is complementary to the level of significance) you can use it to decide whether to reject the null hypothesis.

Using the CI, the decision rule is as follows:

If the CI includes the "zero", do not reject the null hypothesis.

If the CI doesn't include the "zero", reject the null hypothesis.

The calculated interval for the slope is: [-0.11; -0.04]

As you can see, both limits of the interval are negative and do not include the zero, so the decision is to reject the null hypothesis.

At a 5% significance level, you can conclude that the relationship between the year and the number of earthquakes above magnitude 7.0 is statistically significant.

I hope this helps!

(full output in attachment)

5 0
3 years ago
Find the area of the figure
GenaCL600 [577]
Find the rectangle area

A = 8*4 = 32 in²

Find the height of trapezoid

8-4 = 4 in

Find the area of trapezoid

(5,3+8)*4/2 = 13,3*4/2 = 53,2/2 = 26,6 in²

Find the figure area

26,6+32 = 58,6 in²
5 0
3 years ago
What figure can be made with exactly 420 squares?
Natali [406]
5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.

_____
The Nth figure is made with n*(n+1) tiles. To answer question 8, you must solve
.. n(n +1) = 420
.. n^2 +n -420 = 0
.. (n +21)(n -20) = 0
.. n = 20 or -21 . . . . the negative solution is extraneous
4 0
2 years ago
What is the slope of (-3,-2) and (-1,-5)
klio [65]

Answer:

-3/2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Ox=20
nexus9112 [7]

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

<h3>How to form a linear equation</h3>

Let the time taken to play basketball be "x"

Let the time taken to play volleyball be "y"

According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;

x + y = 95

If he plays basketball for 25 minutes long, then;

x = 25

The pair of linear equations that represents the statement are:

x  + y = 95
x = 25

The time it takes Eric to play volleyball every day is expressed as:

y = 95 - x

y = 95 - 25

y = 70 minutes

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

Learn more on linear equations here: brainly.com/question/14323743

3 0
2 years ago
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