Select all of the values.

Answer:

Part a:

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Step-by-step explanation:

Data as given

H 0: μ ≤ 50 against the claim H a:  μ> 50  one tailed test

Z (0.05)= ± 1.645

Sample size n= 50

Using the central limit theorem

Population Standard Deviation= σ=s=6

X= 52.5 , 51 and 51.8

Part a:

Z= x-μ/ s/ √n

Z= 52.5- 50 / 6/ √50

Z= 2.5/0.84853

z= 2.946

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

Z= x-μ/ s/ √n

Z= 51- 50 / 6/ √50

Z= 1/0.84853

z= 1.17851

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

Z= x-μ/ s/ √n

Z= 51.8- 50 / 6/ √50

Z= 1.8/0.84853

z= 2.1213

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Answer:

d

Step-by-step explanation:

Answer:

Fraction- 20/100

100 - 80 = 20

Step-by-step explanation:

Answer:

I think 20/100 is the answer

Answer:

56 degrees

Step-by-step explanation:

Hope this helps

Answer:

124 degrees

Step-by-step explanation: I added them both together

Answer:

4:5:1

Step-by-step explanation:

so first of all the ratio will be 140:70:35 but after we simplify it with 35 we'll get the final simplified ratio which is 4:5:1

Answer:

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

A pen cost $40 and the book cost $10

The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.

x + y = 50 ....... i

2x + 4y = 120 .... ii

Let x = pen

Let y = book.

From equation i, x = 50 - y

Since 2x + 4y = 120

2(50 - y) + 4y = 120

100 - 2y + 4y = 120

Collect like terms

-2y + 4y = 120 - 100

2y = 20

y = 10

Therefore, a book cost $10

Since x + y = 50

x + 10 = 50

x = 50 - 10

x = 40

A pen cost $40

Read related link on:

https://brainly.com/question/20986179

Answer:

option B, 13 to the 3rd power

Step-by-step explanation:

Answer:

39.5

Step-by-step explanation:

Answer:

I am you helper

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

Answer: 108

Step-by-step explanation:

product means x 's so there for 18x6= 108

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Let P(X = x) mark x model number classified correctly.

The mass function of the probability:

[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]

[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]

Answer:

30 is the ratio

Step-by-step explanation:

-_-

Answer:

m∠F = 90°

Step-by-step explanation:

By the property of a kite,

"One pair of the opposite angles are congruent"

m∠E ≅ m∠G

m∠E = m∠G = 113°

Sum of the interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides of the polygon

For a kite, n = 4

Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°                                                                          

                                                                                          = 360°

Therefore, m∠E + m∠F + m∠G + m∠H = 360°

113° + m∠F + 113° + 44° = 360°

m∠F = 360° - 270°

m∠F = 90°

Answer:

4x+10

Step-by-step explanation:

Slope form: mx+b

Slope formula: y2-y1/x2-x1

(2, 18) (3,22)

22-18=4

3-2= 1

4/1=4

4x+10

Answer:

x = 21 and y = 3

Step-by-step explanation:

We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:

One number is six more than five times another number.

x = 5 y + 6

the sum of the numbers is 24

x + y = 24

solve for x in the second equation:

x = 24 - y

Use this to replace x in the first equation:

24 - y = 5 y + 6

add y to both sides

24 = 6 y + 6

subtract 6 from both sides to isolate the term in y

18 = 6 y

divide both sides by 6

y = 3

And now we can find x using:

x = 24 - y = 24 - 3 = 21

Therefore, x = 21 and y = 3

Answer:

4

Step-by-step explanation: add 10 with 4 then subtract 10

Answer:

9 cookies

Step-by-step explanation:

36 - 18 = 18

18 - 9 = 9

Hope that helps!

Answer:

5/4 ÷ 3/8

Step-by-step explanation:

Answer:

is 10,800

Step-by-step explanation: you multiply 1,200 x 9

Answer: c

Step-by-step explanation:

Answer:

C) 27 degrees

Step-by-step explanation:

N+63=90

-63. -63

N=27

Answer:

Step-by-step explanation:

(x,y)=(5,4)

Answer:

-1

Step-by-step explanation:

What ever number is in front of x that is the answer. If there is only a x then it means 1.