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Answer:

There is a sufficient evidence that the coefficient b1 is not zero

There is a sufficient evidence that the coefficient b2 is not zero

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]b_1 = 2.815[/tex]

[tex]Sb_1 = 0.75[/tex]

[tex]b_2 = -1.249[/tex]

[tex]Sb_2 = 0.41[/tex]

[tex]\alpha = 0.05[/tex]

Claim: Coefficient is zero

The null and alternate hypotheses are:

[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]

The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]

Calculate the rejection region

[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]

Calculate the degrees of freedom

[tex]df = n -2[/tex]

[tex]df = 30 -2[/tex]

[tex]df = 28[/tex]

On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:

[tex]t\ value = 2.048[/tex]

The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.

So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]

Testing the first independent variable

Calculate test statistic

[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]

[tex]t = \frac{2.815 - 0}{0.75}[/tex]

[tex]t = \frac{2.815 }{0.75}[/tex]

[tex]t = 3.753[/tex]

[tex]t = 3.753 > 2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Testing the second independent variable

Calculate test statistic

[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]

[tex]t = \frac{-1.249 - 0}{0.41}[/tex]

[tex]t = \frac{-1.249 }{0.41}[/tex]

[tex]t = -3.0463[/tex]

[tex]t = -3.0463 < -2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Answer:where the numbers ? like a.3,b.5 somethin like that

Step-by-step explanation:

but its True

7/12>9/167

0.583333>0.053892

true

Answer:

6

Step-by-step explanation:

Answer:

22?

Step-by-step explanation:

24-2=22?????

Answer:

ㅜ료우료ㅠㅠㅗ프ㅡㅓ효유ㅠ슈유슈뤂ㄹ푸ㅛㅜㅠ로휴ㅜ휴ㅐㅓㄴㅁㄱ무홈

Step-by-step explanation:

쵸푳퓨추르ㅛㅛㅠ롰ㄹ류ㅗ슔ㄹㅅ휴ㅗ료ㅓㅕ

Answer:

No. It is not safe.

Step-by-step explanation:

If the maximum safe incline for a ramp is said to be 8.5°, it means that the incline of any ramp that is greater than 8.5° is not safe.

Let's find the angle measure of the incline in the diagram given to ascertain whether it is safe or not.

Opposite side to angle of inclination = 20

Adjacent side to angle of inclination = 100

Apply the trigonometric function, TOA, which is:

Tan θ = Opp/Adjacent

Tan θ = 20/100

Tan θ = 0.2

θ = Tan^{-1}(0.2)

θ = 11.3099325° ≈ 11.3°

Angle of inclination for the ramp shown = 11.3°.

This is not safe because it has exceeded the maximum safe incline for a ramp which should be 8.5° maximum.

Answer:

1/2

Step-by-step explanation:

3/6 = 1/2

Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

Please mark as brainliest!

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Answer:

D.$93.04

$25+$22.38+$6.95+$38.71 = $93.04

Answer:

333

335

355

555

533

553

353

535

so I think 8

Answer:

Figures A, B, and C are polygons

Step-by-step explanation:

Figure D is not a polygon because a polygon must consist only of straight lines, no curves

Therefore , the solution of the given problem of inequality comes out to be x + 15 < x - 3  and x - 3 > x + 15

In mathematics, a connection or group of integers can be an inequality without the equal sign. Equilibrium  is always followed by equity. Inequality occurs when norms are still incompatible. Disparity and fairness have distinct traits. We chose to use the most typical symbol because components aren't always equivalent or similar to one another (). Any disparity, no matter how small or large, can also be used to evaluate values.

Here,

Let x represent the weather today.

The difference between today's temperature and last year's is three degrees, so last year's temperature was x - 3.

Since the weather was 15 degrees higher five years ago, the previous temperature was x + 15.

We can use the following language to describe the relationship between the temperature today and one year ago today but instead five years ago today with respect to the current temperature:

=> x + 15 < x - 3 (five years ago temperature is less least 1 year ago temperature) 

=> x - 3 > x + 15 (one year ago temperature is bigger than five years ago temperature) 

Therefore, the proper disparities are:

=> x + 15 < x - 3

=>x - 3 > x + 15

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

Answer:

20 hours

Step-by-step explanation:

To find the answer, you first should find out how long is 25% of the original battery life, 16 hours. To find this, you can divide 16 by 4, or multiply 16 by 0.25. Either works.

16/4=4.

So the new battery lasts 4 hours more than the old battery. Then, add this to the original length to find how long the new battery will last in total.

16+4=20

Answer:

Last year the percent of error was lower than this year. The smaller the percent of error, the closer the estimate is to the exact value. Last year, Ron made a better estimate.

Answer: 1-14' 1" is prob. your width

Step-by-step explanation:

i can’t find out length Sorry.

Step-by-step explanation:

Scale : 4 in = 5ft.

1 in. = 5/4 = 1.25 ft

Actual length = 25 x 1.25 = 31.25 ft.

Actual width = 16 x 1.25 = 20 ft

Actual area = actual length x actual width

= 31.25 x 20

= 625 ft²

Answer:

24

Step-by-step explanation:

Answer:

yes these are equivalent bcz

3/6=1/2

Step-by-step explanation:

PlZ make me brainliest

Answer:

Yes

Step-by-step explanation:

3/6= 0.5

1/2= 0.5

The answer of this would be 8 feet long.

If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long

answer: 8 feet

Answer:

Step-by-step explanation know him just a joke just know class kids know from its young

Answer:

125

Step-by-step explanation:

L x W x H

All are equal sides so 5 are all the lengths of each side of the cube.

Answer:

Budgins.

Step-by-step explanation:

Waitroze is selling the cans of soup for 1.27 more than Budgins. So, therefore, Budgins has a WAY better deal than Waitroze.

Answer:

121.5

Step-by-step explanation:

75% =  75/100

Step 2 - Mutiply percenatge fraction by the entire (100%) quantity

75/100× 162 = 121.5

Final result

75 percent of 162 is 121.5

Answer:

121.5

Step-by-step explanation:

| percantage x 100% |

75/100 x 162 = 121.5

Answer:

a_23 = 5

Step-by-step explanation:

The row is the first number so in a_23 The row is a 2

The column is the second number so the column is 3

The second row is 3 9 5 1

The third column number would be 5

The answer is a

Answer:

5

Step-by-step explanation:

[tex]a^{23} = 5[/tex]

Hope this helps

Answer:

(2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 3x - 4

2y = -x + 6

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

164m (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

a=-1

b=[tex]\frac{2\pi }{3}[/tex]

c=0

d=0

Step-by-step explanation:

Answer:

a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1

point)

b) What is the vertex of the parabola? (1 point)

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1/2(x1+x2)c x1=3 , x2=5 , c=6

:- 1/2(3+5)6 ( BODMAS)

:- 1/2(8)6 divide 8 by 1/2

:- (4)6 multiply both of them and the result = 24

Answer:

origin

hope this helps!

Step-by-step explanation:

Answer:

Origin

Step-by-step explanation:

The origin of the graph (0,0) is the point where the two y and x axes intercept.

The origin determines every other point of the graph.  

Hope this helps!

Answer:

1. <JNL

Step-by-step explanation:

Point N is the vertex of angle 1. Therefore, we can give <1 another name by using 3 letters which includes the letter of vertex point in the middle, and two other letters of the two rays that meets at the vertex point.

Thus, JN and LN meets at point N. Therefore angle 1 can be named as:

<JNL