1.The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000. What is the probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?The mean of the sampling distribution of sample of means is $52,000 or $54,000 and the standard deviation is Select an answer $625 or $5000 . 2, The z-score for this problem is Select an answer .4 or -.4 or 3.2 or -3.2 . 3.What is the probability of that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?A) .0007B) .9993C) .3446D) .6554

Answers

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

The value of z-score will be –0.4. Then the correct option is B. The probability will be 0.34458. Then the correct option is C.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.

The probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000 will be

The mean of the sampling distribution of sample of means is $54,000 and the standard deviation is select an answer $5000.

Then the z-score will be

z = (52000 – 54000) / 5000

z = –2000 / 5000

z = –0.4

Then the correct option is B.

Then the probability will be

P(x < 52000) = P(z < 0.-4)

P(x < 52000) = 0.34458

Then the correct option is C.

More about the z-score link is given below.

https://brainly.com/question/15016913

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Related Questions

5. *
17 points
Which answer shows 9x 10-written in standard form?
-.000009
.000009
-900,000
.00009

Answers

is there more to the question because u have 9 x 10- and that doesn’t make sense for it to be in standard form the originally problem needs to be in scientific notation what are the numbers after the 10?

(ILL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEEEEEEEEEEEE!! :D)



Which expression results in a sum or difference of three and four forty eighths?

A) two and two twenty fourths plus one and one half
B)one and three twelves plus two and one quarter
C) seven and nine sixteenths minus four and one third
D) six and two sixths minus three and two eighths

Answers

Answer:

D) six and two sixths minus three and two eighths

Step-by-step explanation:

Answer:

i think it is D

Step-by-step explanation:

D) six and two sixths minus three and two eighths

what is the LCM of 10 and 20​

Answers

20

your welcomeeeeeeeeeeeee

Answer:

20

Step-by-step explanation:

10 = 2 × 5

20 = 2 × 2 × 5

L.C.M = 2 × 2 × 5 = 20

Thus, The LCM 10 and 20 is 20

-TheUnknownScientist

HELP FAST I NEeD THIS

Answers

Answer:

1. x=7.16304347

2.x=11.2

Step-by-step explanation:

A rope that is 168 ft long is to be cut into three pieces such that the second piece is 6 ft less than three times the first, and the third is 2 ft more than two-thirds of the second. Find the length of the longest piece.

Answers

Answer:

Length of longest piece is 82 ft

Step-by-step explanation:

Let the measure of the second piece be x

First piece be y

second piece is 6 ft less than 3 times the first

x = 3y - 6

y = (x + 6)/3

3rd piece = 2 + 2/3 * x

= 2 + 2x/3

Adding all equals 168

we only add in terms of x

so we have;

x + (x + 6)/3 + 2 + 2x/3 = 168

Multiply through by 3

3x + x + 6 + 6 + 2x = 504

6x + 12 = 504

6x = 492

x = 492/6

x = 82 ft

So the other pieces are

(x + 6)/3 = 82+6/3 = 88/3 ft

And lastly

2 + 2x/3

= 2 + 164/3 ft

Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.

Answers

Answer:

450 minutes

Step-by-step explanation:

Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.

Answer:

450 Minutes or 7 hours 30 minutes

Step-by-step explanation:

Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes

Hope this helped :)

At Green Island Farms the annual Turkey Trot is being held. This year’s contestants are Tom Turkey, Gary Gobbler and Donny Drumstick. The turkeys chase little RC cars loaded with feed. The buzzer sounds and the turkeys are off. Gary Gobbler chases his RC car trying to eat that sweet turkey feed for 15 feet before he manages to side swipe the RC car and knock it on its side. All the feed spills out and Gary Gobbler gobbles it down. That silly turkey happily eats his food for 1.75 seconds. A mouse comes out of the hay bale and tries to join Gary Gobbler in his feasting. But Gary Gobbler is scared of mice so when he sees the mouse he freaks out and tears down the racetrack.

Write a similar story for Tom Turkey making sure to include the different segments of the graph.

Answers

Answer:

The company is expected the company will receive

Translate this sentence into an equation.
17 less than Vidya's savings is 64

Answers

Answer:

S - 17=64

Step-by-step explanation:

the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false

Answers

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

Given that 3a : 7 = 8:5, find the value of a.​

Answers

a = 56/15. There’s an explanation in the photo

Answer:

a=56/15

Step-by-step explanation:

3a/7=8/5

3a=56/5

a=56/15

The sum of three consecutive odd integers is 153. Find the three odd integers.

First integer =


Second integer =


Third integer =

PLEASE HELPPPP!!

Answers

Answer:

49, 51, 53

Step-by-step explanation:

Let the first odd integer be n.

Then the consecutive odd integer will be (n+2).

This will be followed by (n+4).

We know that the sum of these three is 153. In other words:

[tex]n+(n+2)+(n+4)=153[/tex]

Solve for n. Combine like terms:

[tex]3n+6=153[/tex]

Subtract 6 from both sides:

[tex]3n=147[/tex]

Divide both sides by 3:

[tex]n=49[/tex]

Therefore, our first odd number is 49.

So, our consecutive numbers must be 51 and 53.

Hence, our sequence is:

49, 51, 53

Notes:

If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.

Answer:

49, 51, 53

Step-by-step explanation:

All odd numbers:

49 + 51 = 100

100 + 53 = 153

Lorine drew the model below to represent the equation 16 + 28 = ___ ´ (4 + 7).

Answers

Answer:

4

Step-by-step explanation:

Answer:

Its A (A is 4)

Step-by-step explanation:

Also correct on Edge 2021

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Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P​

Answers

Answer:

A) 11/P + 6

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

please make as brainleylist

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.

What is the sum of the factors?

Answers

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
13

Five less than the area of a square is 59 square feet. Find the side length of the square.​

Answers

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

fifty two seventh graders joined the swim club this year. THis is for more than six times the number seventh graders who joined the swimming club last year. How many seventh graders joined the swimming club last year. Brainly

Answers

Answer:

312

Step-by-step explanation:

52x6

12 2.25 24 7.5 3 6.75 y 0.75 6 1.5 DRAG AND DROP AN ITEM HERE DRAGAND DROP ANTEN HERE DRAGAN ROP AN ITEM HERE​

Answers

Answer:

0.75

Step-by-step explanation:

BASTA CHAT NYU NA LNG PO AKO  DTO NEED NYU PO NG EXPLANATION

What is the equation in standard form of the line y = 19x + 5?
i am doing a test. thank you.

Answers

Answer:

19x-y=-5

Step-by-step explanation:

Tip: don't say you need an answer for a test may get reported or banned. :)

You're welcome :)

Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.

Answers

Answer:

0.667

Step-by-step explanation:

Given that :

Head is twice more likely to occur than a tail.

P(head) = p(H) = 2/3

P(tail) = p(T) = 1/3

If coin is tossed 3 times :

P(H = 0) :

1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail

(1/3) * (1/3) * (1/3) = 1 / 27

P(H= 1)

HTT, THT, TTH

(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)

= 2/27 + 2 /27 + 2/27

= 6/27 = 2/9

P(H=2)

HHT, HTH, THH

(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)

= 4/27 + 4/27 + 4/27

= 12 / 27

= 4 /9

P(H = 3)

HHH

(2/3 * 2/3 * 2/3)

= 8 / 27

X ___ 0 ___ 1 ____ 2 ____ 3

P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27

E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2

E(X) = 2

Var(X) = Σx²p(x) - E(X)²

= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2

= 4.667 - 4

= 0.667

Hence, Var(x) = 0.667

Which expression is equivalent to two square root of 98 times square root of two

Answers

Answer:

The answer is 14. Hope this helps.

Step-by-step explanation:

find the smallest number by which the number108 must be multiplied to obtain a perfect cube

Answers

Answer:

2

Step-by-step explanation:

108*2

=216

216

=6^3

PLS GIVE BRAINLIEST

Division expression​

Answers

The first answer is the correct one.




Explanation:

4*3+1=13

13/3 divided by -5/6

Bhmbbu.jgHello I need help with the square root of 1867 and the square root of 5098 6x9x7x5x4

Answers

Answer:

Hello!

Step-by-step explanation:

What did the thief get for stealing the calendar?

Here is a riddle

Which expression is equivalent to sqrt(80)?

Answers

Answer:

b on edg

Step-by-step explanation:

second part

a=4

b=5

given f(x)=4x-3, solve for x when f(x)=9

Answers

X=4/11 or .36 repeating

There are 7 red marbles, 5 blue marbles, and 11 green marbles in a bag. If John randomly pulls a marble from the bag, what is the probability that he selects a blue marble? Give your answer as a decimal to the nearest hundredth.

Answers

Answer:

0.23

Step-by-step explanation:

A tailor earns (12y² + y – 35) pesos for working (3y – 5) hours. How much does he earn per hour?

Answers

Answer:

4y+7

Step-by-step explanation:

(12y² + y – 35)/(3y – 5)

=(3y-5)(4y+7)/(3y-5) (factorization)

=4y + 7

Hope this helped!

The amount that's earned per hour by the tailor will be 4y + 7.

Since the tailor earns (12y² + y – 35) pesos for working (3y – 5) hours, then the number of hours that the tailor used working will simply be gotten through the division of the values that are given to the question. This will be:

= Amount earned / Total number of hours used

= (12y² + y – 35) / (3y – 5)

= 4y + 7

The amount earned per hour is 4y + 7.

Read related link on:

https://brainly.com/question/18736693

which of the following functions is graphed below​

Answers

Answer:

A.

Step-by-step explanation:

When X is zero y is 7.

It looks like the y intercept is 7 hard to tell in the picture

Answer:

im going to guess C

Step-by-step explanation:

Kevin needs to memorize words on his oh Cavaleri list for Latin class. He has been raised 20 other words, which is 4/5 of the list. How many words are on the list?

Answers

Answer:

25

Step-by-step explanation:

if 20 is 4/5 then you just reverse egineer and you get it

Use all four numbers 5, 1, 7, 9 with a value as close to 6000 as possible

Answers

Answer:

5971

Step-by-step explanation:

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