Solve for X

I would really appreciate any help! I need to finish this trigonometry course to graduate.​

Answer:

The test statistic  | t |  =4.45

Step-by-step explanation:

Step(i):-

Given that the first sample size n₁ = 36

Given that the second sample size n₂ = 34

Mean of the first sample x₁⁻ = 68.5

Mean of the second sample x₂⁻ = 70

Step(ii):-

Test statistic

       [tex]t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}[/tex]

     [tex]t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }[/tex]

    [tex]t = \frac{-1.5}{0.337} = -4.45[/tex]

The test statistic  | t | = |-4.45| =4.45

The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.

The test statistic summarises the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.

The given information will be shown below.

The first sample size n₁ = 36

The second sample size n₂ = 34

The mean of the first sample x₁ = 68.5

The mean of second sample x₂ = 70

Then the test statistic will be given as

[tex]\rm t = \dfrac{x_1 - x_2}{\sqrt{S^2 (\dfrac{1}{n_1}+\dfrac{1}{n_1})}} \\\\\\\t = \dfrac{68.5 - 70}{\sqrt{2 (\dfrac{1}{36} + \dfrac{1}{34})}} \\\\\\t = \dfrac{-1.5}{0.337}\\\\\\t = -4.45[/tex]

The test statistic | t | = |–4.45| = 4.45

More about the test statistic link is given below.

https://brainly.com/question/15236063

Step-by-step explanation: 5

Answer:

Step-by-step explanation:

Raging River costs

y=9x

Paddlers costs

y=x+40

So they cost the same when y=y

9x=x+40

8x=40

x=5

So they cost the same for 5 hours.

Step-by-step explanation:

step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram

step 2. triangle RST is a right triangle so we can use trigonometry to find <S

step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos

step 4. cosS = adj/hyp = ST/RS = 2.7/4.9

step 5. <S = 56.6° using inverse cos.

Answer:

42.43

Step-by-step explanation:

This is because you had to divbide by 3

Answer:

I think the midpoint is (4,7)

Step-by-step explanation:

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Answer:

28 slices

Step-by-step explanation:

Take the length of the roll and divide by the size of the slice

10 1/2 ÷ 3/8

Change the mixed number to an improper fraction

(10*2 +1) /2 ÷ 3/8

21/2 ÷ 3/8

Copy dot flip

21/2 * 8/3

Rewriting

21/3 * 8/2

7 * 4

28

You will get 28 slices

Answer:

6x+1 = 8x - 7

8 = 2x

x = 4

JK = 6*4+1 = 25

KL = 8*4 - 7 = 25

Answer:

8 cm

Step-by-step explanation:

Just multiply 3.2 by 2.5

3.2 x 2.5 = 8

Answer:

Sure, your answer is 8

Step-by-step explanation:

3.2 * 2.5=8

Answer:

7: 100

8: 40

9: 74

Step-by-step explanation:

Answer:

7. x= 100 8. x= 40 and 9. x= 74

Step-by-step explanation:

x + 45 +35=180(sum of angle of triangle )

or, x+ 80=180

or, x=180-80

or, x=100

same process as above for all

Answer:

66.3

Step-by-step explanation:

Answer:

Speed of swimmer = 2.34 m/s (Approx.,)

Step-by-step explanation:

Given:

Distance covered in world record swimming = 50 meters

Time taken by free style swimmer = 21.34 seconds

Find:

Speed of swimmer

Computation:

Speed = Distance / Time taken

So,

Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer

Speed of swimmer =  50 / 21.34

Speed of swimmer = 2.34 m/s (Approx.,)

Answer:

Step-by-step explanation:

B + 87 +78 +66 = 360

B = 129 °

the angle next to B then is

180 = 129 + b '

51 °  = b '

A  + 61 + b ' = 180

A = 68 °

The average is the sum of the numbers divided by the quantity of numbers.

-100 + 102 =2

2/2 = 1

The average is 1

Answer:

1

Step-by-step explanation:

To find average, add up all of the numbers and divide it by how many numbers there are.

[tex]\frac{-100+102}{2} = \frac{2}{2} =1[/tex]

You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.

A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.

To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.

To write a deposit slip, you would need to follow these steps:

Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.

Fill in your personal and account information, including your name, account number, and any other required information.

Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.

If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.

Review the deposit slip for accuracy and completeness, and make any necessary corrections.

Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.

Learn more about the deposit slip here:

https://brainly.com/question/30081338

#SPJ2

Answer:

1

Step-by-step explanation:

1

Answer: (-4s-1)*(-8) + (-4)*(-8s+7)

You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.

Answer:h

Step-by-step explanation:

Answer:

12.5pages

Step-by-step explanation:

50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)

subtract 37.5 from 50 to find the number of pages printed by andy

Answer:

Daytime people.

Step-by-step explanation:

Evening people have 125.

Daytine people have 140.

Answer:

B

Step-by-step explanation:

sorry if I am wrong

but you got what it takes to do it ⭐⭐⭐⭐⭐

Answer:

10

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

x^3= 64

x= 64^1/3

x=4

Answer:

4

Step-by-step explanation:

4x4=16

16x4= 64

Answer:

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Step-by-step explanation:

Let Y be the no. of infections

The number of students who have been exposed to whooping cough is as follows:

n = 1400

n = 1400  and p = 0.8

nm = 1400 x 0.8

nm = 1120

n(1-m) = 1400 x (1-0.8)

n(1-m) = 280

Here,

Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.

The mean and standard deviation of number of new infections is:

u = np

u =1400 x 0.8

u = 1120 = mean

SD = Standard Deviation  

SD = [tex]\sqrt{1120(1-0.8)}[/tex]

SD = 14.966

The number of infections is distributed in an approximately normal way

N(1120,14.966)

75% of 1400 means 0.75  x 1400 = 1050

So,

Probability required.

P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5)    (Continuity Correction)

P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])

P (Y[tex]\geq[/tex] 1050) =  P(Z [tex]\geq[/tex] -4.71)

P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)

Using the z table:

P (Y[tex]\geq[/tex] 1050) ≈ 1

Hence,

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Answer:

A. 14.6 ± 7.00

Step-by-step explanation:

Formula for the confidence interval between the two mean is;

CI = (μ2 - μ1) ± z√[((s1)²/n1) + ((s2)²/n2)]

We are given;

μ1 = 94.5

μ2 = 109.1

s1 = 10

s2 = 9

n1 = 10

n2 = 10

The z-value at confidence interval of 90% is 1.645

Thus;

CI = (109.1 - 94.5) ± 1.645√[(10²/10) + (9²/10)]

CI = 14.6 ± 7.00