Please help me with this problem.

Answer:

36 degrees

Step-by-step explanation:

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

[tex]z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

Where;

[tex]\bar {x}_1[/tex] = 13.5

[tex]\bar {x}_2[/tex] = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969[/tex]

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

Refer the below solution for better understanding.

Step-by-step explanation:

Given :

Standard Deviation, [tex]\rm \sigma_1 = 2.5\; and\;\sigma_2= 1.5[/tex]

Calculation :

The null Hypothesis is [tex]\rm H_0: \mu_1\leq\mu_2[/tex]

The alternative Hypothesis is [tex]\rm H_a: \mu_1>\mu_2[/tex]

Now,

[tex]z = \dfrac{(\bar{x_1}-\bar{x_2})-(\mu_1-\mu_2)}{\sqrt{\dfrac{\sigma_1^2}{n_1}-\dfrac{\sigma_2^2}{n_2}} }[/tex]  --------------- (1)

putting the values of

[tex]\bar{x_1}=13.5,\;\bar{x_2}=12,\;\sigma_1=2.5,\;\sigma_2=1.5[/tex]

in equation (1)

[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^2}{23}-\dfrac{1.5^2}{23}} }[/tex]

z = 3.5969

We reject the null hypothesis at

[tex]\alpha =0.05[/tex]

z-value is larger than the critical z.

3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day.

The probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore, the probability that Alyse has a smaller time than Jocelyn is

[tex]1-0.99983 = 0.00017 = 1.7\times10^-^4[/tex]

For more information, refer the link given below

https://brainly.com/question/20165896?referrer=searchResults

Answer:

55

Step-by-step explanation:

The measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees.

As we know,

The sum of the interior angle of the triangle is 180 degrees

2y + 3 + 9y - 7 + 7y + 4 = 180

18y = 180

y = 10

2y + 3 = 2(10) + 3 = 23 degres

9y - 7 = 9(10) - 7 = 83 degrees

7y + 4 = 7(10) + 4 = 74 degrees

Thus, the measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Answer: Around 1000 students would buy a schoo lunch.

Step-by-step explanation:

We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.

In total we have 20 + 14 = 34 students, this will be our 100%.

The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.

p1 = (14/34)*100% = 41.18%

And the percentage of students that buy lunch at school can be computed in the same way:

p2= (20/34)*100% = 58.82%

Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.

Then the exact number will be:

N = (58.82%/100%)*1700 = 1000

Around 1000 students would buy a schoo lunch.

Answer:

64

Step-by-step explanation:

The volume of rectangular prisms is measured by l*w*h

And by counting the units of the length, width, and height are all 4 units long.

So take the numbers and plot them into the formula

4*4*4 = V

16 * 4 = V

64 = V

The prism is 64 cubic units.

Answer:

13.00

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

4(t +3)=24

4t +12 =24

4t =24 - 12

4t =12

t =12 :4

t =3

Answer:

t = 3

Step-by-step explanation:

Original Equation:

4(t + 3) = 24

Use distributive property

4 x t = 4t

4 x 3 = 12

Your equation:

4t + 12 = 24

Subtract 12 from both sides

4t = 12

Divide both sides by 4

t = 3

Hope this helped :)

Please consider Brainliest :)

Answer:

8

Step-by-step explanation:

The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.

Constant of proportionality = [tex] \frac{E}{h} [/tex]

From the graph given, when h = 5, E = 40.

Therefore:

Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]

Answer:

New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.

Step-by-step explanation:

Answer:

240/4 hours will be 8 baskets

Step-by-step explanation:

Answer: [tex]-4 * (n+3) \geq 28[/tex]

Step-by-step explanation:

Negative four -> [tex]-4[/tex]

Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]

Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]

Answer: square root of 144 = 12 miles

Square root of 134 = 11,57 miles

Answer:

5,5,10, and 60

Step-by-step explanation:

Find the remaining numbers

80-60= 20

10 + 10 = 20

Break it up to get 4 numbers total

5 + 5 + 10 = 20

20 + 60 = 80

Answer:

trueeeeeeeeeeeeeeeee

Answer:

170 cm is the tallest

Answer:

A) 0.030

B) 0.026

Step-by-step explanation:

I hope this HELP! :)

Answer: Yes. It is inversely proportional.

Step-by-step explanation:

In your question, the constant of proportionality already jump out at us which is to get y, we have to multiply x by 7. Therefore the constant of proportionality is y=7x.

Answer:

he payed 34$ for the jacket

Step-by-step explanation:

Answer: 7^16

Step-by-step explanation:

Answer:

revertive is correct. The answer is -1

Step-by-step explanation:

Answer: QPR=31

Step-by-step explanation: first you would combine 3x and 7x which equals 10x. Then you combine -95 and -38 which equals -133. then you set up an equation like 10x - 133 = 47. Add 133 to both sides. 10x = 180. Divide both sides by 10. X= 18. 18 times 7 equals 126. 126 - 95 equals 31

Answer:

From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36

So,

x = 72

y = 36

Answer:

B D

Step-by-step explanation:

Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

have a great day!

Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

it was correct on edge

Answer:

Step-by-step explanation:

look at the png