Find the value of x.

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: [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:

13.00

Step-by-step explanation:

Answer: square root of 144 = 12 miles

Square root of 134 = 11,57 miles

Answer:

venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go

The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.

According to what I heard :3

Hope This Helped! May I have Brainliest? <3

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:

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:

I believe they will travel 306 miles in a day

Step-by-step explanation:

if you divide 2,754 by 9 it equals 306. I hope this helps.

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:

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:

trueeeeeeeeeeeeeeeee

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:

29/5

Step-by-step explanation:

5 4/5=(25+4)/5

29/5

Hope I helped! Please mark Brainliest!!!

Answer: The answer is [tex]\frac{29}{5}.[/tex]

Step-by-step explanation: Here are the 3 steps in order to convert the mixed number fraction to an improper fraction:

Step 1. First, let's multiply the denominator by the whole fraction that looks like this: [tex]5*5=25.[/tex]

Step 2. Then, we add the answer with the numerator from step 1 that looks like this: [tex]25+4=29.[/tex]

Step 3. Finally, we write the answer from step 2 over the denominator that looks in the improper fraction like this: [tex]\frac{29}{5}.[/tex]

Conclusion Step-By-Step Explanation:

Here's the conclusion for how to convert the mixed number fraction into an improper fraction given the equation [tex]\frac{29}{5},[/tex] that looks like this in the simplified solution: [tex]\frac{5*5+4}{5}=\frac{29}{5}.[/tex]

I hope that my full answer with the full step-by-step explanation is very helpful to your question about how to convert the mixed number fraction into an improper fraction and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

No

Step-by-step explanation:

Answer:

B D

Step-by-step explanation:

Answer:

170 cm is the tallest

Answer:

revertive is correct. The answer is -1

Step-by-step explanation:

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: 7^16

Step-by-step explanation:

Answer:6

Step-by-step explanation:

4.8(x)+1.2(y)=2.4

y would equal -6.

4.8(2)+1.2(y)=2.4

9.6 + 1.2y = 2.4      subtract 9.6 from both sides

1.2y = - 7.2    divide by 1.2 on both sides

y = -6

Answer:

if your looking for z it is 5/8k+2.375

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please, include the instructions.

I'm assuming you want to solve this system of linear equations for z and w, assuming that k is an unknown constant.

Use the method of elimination by addition and subtraction.  To eiiminate w, multiply all four terms of the first equation by 10, obtaining:

10 z + 10w - 30 = 10k

6z   - 10 w        = 80

Then 16z - 30 - 80 = 10k, or

16z  -110 = 10k,  Simplifying this, we get:

      10(k + 11)  

z = ---------------

            16

Substituting this expression for z into the first equation, we get:

(10/16)(k + 11) + w - 3 = k.  We must solve this for w:

-(10/16)(k + 11) + w - 3 = k), or

-(10/16)(k + 11) - w + 3 = -k

Then -(10/16)(k + 11) + 3 + k = w

and so the solution, in terms of the unknown constant k, is

      10(k + 11)  

(     --------------,  -(10/16)(k + 11) + 3 + k   )

            16

Answer:

Step-by-step explanation:

look at the png

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:

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:

he payed 34$ for the jacket

Step-by-step explanation:

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: 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