What is the solution of the equation 3/4x + 5 = -9
PLEASE HELPPPP

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-163 - 0}{77.3144}[/tex]

[tex]z = -2.11[/tex]

The test statistic is z = -2.11.

Answer:

$4894

Step-by-step explanation:

Answer:

4894

Step-by-step explanation:

Answer: 94.80

Step-by-step explanation:

First, let's divide the salary she made from 5 hours of work by 5 in order to see how much she makes in a single hour.

[tex]\frac{59.25}{5} = 11.85 per hour[/tex]

Multiply this by 8 to find her amount made in 8 hours.

11.85 x 8 = 94.80

9514 1404 393

Answer:

  5.04 seconds

Step-by-step explanation:

Assuming the ball is in the air until f(x) = 0, we want to find x such that ...

  0 = -5x² +25x +1

  0 = x² -5x -1/5 . . . . . divide by -5

  1/5 = x² -5x . . . . . . . add 1/5

  1/5 +25/4 = (x² -5x +25/4) . . . . complete the square

  129/20 = (x -5/2)² . . . . . . . . . . write as a square

  x = 5/2 +√(129/20) ≈ 5.039685 . . . . square root, add 5/2

The ball stays in the air about 5.04 seconds.

A. 17p

Step-by-step explanation:

hope this helps ya :)

Answer:

2

Step-by-step explanation:

a) Calculate the probability that she

b) Work out the probability that she

gets an even number and a tail.

a)

Probability is

Answer:

2

Step-by-step explanation:

1+1 is 2

Answer:

А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.

Step-by-step explanation:

Given that,

Length of fabric = 1.3 meters

We know that,

1 m = 100 cm

⇒1.3 m = (1.3)×100 = 130 cm

⇒1.3 m = 130 cm

Now,

We know that

1 inch = 2.54 cm

and

1 cm = 0.3937 inches

⇒130 cm = (130)×(0.3937) inches

               = 51.181 inches

⇒130 cm = 51.181 inches

Now,

Given that,

Cost of 1 inch = $0.45

⇒Cost of 51.181 inches = $(51.181)×(0.45)

                                     = $ 23.03

∴ we get

The cost of fabric = $23.03

and

The correct option is - А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.

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Work Shown:

A = P*(1+r/n)^(n*t)

1000 = 500*(1+0.029/4)^(4*t)

1000 = 500*(1.00725)^(4*t)

1000/500 = (1.00725)^(4*t)

2 = (1.00725)^(4*t)

log(2) = log( 1.00725^(4*t) )

log(2) = 4*t*log( 1.00725 )

4*t*log( 1.00725 ) = log(2)

t = log(2)/( 4*log( 1.00725 ) )

t = 23.9881659971072 The value is approximate

t = 24 when rounding to the nearest full year

It takes approximately 24 years to double your money.

Answer: A.

Explanation: 4 + -4 = 0 and 3 - 3 = 0

I think the answer is

(c.) 1 and -12

Answer:

8(3f + 7g)

Step-by-step explanation:

The GCF of 24 and 56 is 8.

24f + 56g

8(3f + 7g)

Answer:

Their monthly payment will be $ 1,303.68.

Step-by-step explanation:

Since Maya's new home had a purchase price of $ 325,500, and Maya and her husband got a 15-year fixed mortgage for 70% of the purchase price, and the interest rate on the loan was 2,990%, to determine what was their monthly payment, the following calculation must be performed:

((325,500 x 0.7) x 1.0299) / (12 x 15) = X

(227,850 x 1.0299) / 180 = X

234,662,715 / 180 = X

1,303.68 = X

Therefore, their monthly payment will be $ 1,303.68.

Answer:

I will just guess 1/11 is what ur saying so a and b or 0.0909

Step-by-step explanation:

Answer:

What are we supposed to find?

Answer:

335 mm²

Step-by-step explanation:

This will be so easy, that you can do it in the future by yourself!

Okay let's start by splitting this figure, the easiest way seems to be by cutting off that little part, you know what just let me show a picture.

Okay you shuold be able to see the picture, so the small square has an area of 20, since 5 times 4 is 20 mm! The larger square has an area of 315!

How did I find this? Take that small 10mm in the side and add it to 5mm, that would be 15. 15 times the bottom the width, it would be 15 * 21. 15 times 21 is equal to 315.

Now, we add both those areas together, to get ourselves a nice little 335 mm²

I hope that helped, have a great day!!

Answer:

90+51+x=180(sum of interior angles of a triangle)

141+x=180

x=180-141

x=39 degree

Step-by-step explanation:

Answer: infinite solutions

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

to find the ratio:

3/12 : (3/4)/3

1/4 : 1/4

term2/ term1 : term2/term3

Answer:iStep-by-step explanation:

i^42

Answer:

Length= 19

Width=16

Step-by-step explanation:

(16x2)+(19x2)=70

38+32=70

Answer:

1080

Step-by-step explanation:

Answer:

The answer is going to be C.

Answer:

1)18.73

2)7.55

3)42.06

4)14.32

5)9

6)8.60

Step-by-step explanation:

Answer:

10.2a+3+3a-1+a

= 6a+2

=2(3a+1)

11)2y-1+3y-2+2y+2+2y-2+y

=10y-3

Answer:

to calculate a 18 percent tip on a $105 bill.

What should I tip on 105 dollars? How much is the tip for $105?

Tip $18.90

Total $123.90

Step-by-step explanation:

Put the percentage in decimal form (0.18) then multiply the cost by this number. 26.50 * 0.18 = 4.77. So your tip is $4.77.

Answer:3

Step-by-step explanation:

The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the number of students who take orchestra as an elective be represented as P

Now , the equation will be

The total number of students = 16 students

The number of students who opted for orchestra as elective = 4 students

So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students

Substituting the values in the equation , we get

The probability that the number of students who take orchestra as an elective P = 4/16

The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %

Now , when the number of students = 16 + 12 = 28 students

The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28

Substituting the values in the equation , we get

1/4 = ( x + 4 ) / 28

Multiply by 28 on both sides of the equation , we get

x + 4 = 7

Subtracting 4 on both sides of the equation , we get

x = 3 students

So , the number of students who will take orchestra from the group of 12 students is 3 students

Hence , the probability is 1/4

To learn more about probability click :

https://brainly.com/question/17089724

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