Mathematics College

The mean life of a television set is 138 months with a variance of 324. If a sample of 83 televisions is randomly selected, what is the probability that the sample mean would be less than 143.4 months

Answers

Answer 1

Answer: 0.9968

Step-by-step explanation:

Let [tex]\overline{X}[/tex] be the sample mean life of television.

Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]

The probability that the sample mean would be less than 143.4 months will be :

[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]

hence, the required probability = 0.9968

Related Questions

What expression equals to 3^15

Answers

Answer:

14348907

Step-by-step explanation:

That's the right answer

5 times 3 = 15 or 13+ 2 hope this helped

Miss Sherman hired Michael to make balloon animals for the children who visited a carnival Michael was paid a base fee of $100 plus a fee of $1.50 per balloon animal made if Michael was paid $295 how many balloon animals did Michael make?

Answers

295 -100( base fee)=195
195 divided by 1.50(per gallon) = 130 gallons mAde

Answer:

130 balloons.

Step-by-step explanation:

295-100=195$

195÷1.50=130 balloons.

Prime factorization of 60?

6, or 15,or 3,or 9



please help!!

Answers

Answer:

The real Prime factors of 60 are 2, 3 and 5 so the answer should be 3

What is the domain and range of the function Y=2x-4

Answers

Answer:

Domain: all real numbers

Range: all real numbers

f(x) = x2 – 5; f(-4)??

Answers

x=1 hope this helps !

Which number is closest to V6 ?

Answers

Answer:

2.44949

Step-by-step explanation:

hope this helps

Answer:

2.9

Step-by-step explanation:

There are 16 boys and 12 girls in Mr.willam’s class. What is the ratio of boys to girls

Answers

Answer:

16:12 or 16 to 12

Step-by-step explanation:

Answer:

16:12 or 16 to 12

The ratio of boys to girls is 16 to 12.

6. In case of short
circuit............current will flow in
that circuit. *​

Answers

Answer:

As suggested in the name itself:

a short circuit makes the circuit 'short' which causes the resistance of the circuit to be close to none

When the resistance is decreased, the amount of current flowing in the circuit increases (ohm's law: R ∝ 1/ I)

Therefore, in case of a short-circuit. More current will flow in the circuit

4(x-1)=-8 how do i answer this

Answers

Answer: x= -1

Step-by-step explanation:

4(x-1)=-8

First distribute

4x-4=-8

Now add 4 to -8

4x=-4

Now divide by 4

X=-1

The answer is x = -1

Step-by-step explanation: When it comes to solving for a variable (x) you have to distribute if there is parenthesis and then use inverse operations to get the answer.

4(x-1)=-8 Distribute

4x - 4 = -8 Subtract 4 from both sides

4x = -4 Divide 4 on both sides

x = - 1 and that is your answer

Solve for t when 15cos(2pi/365t)43

Answers

Answer:

|2y|+3=2+3

3cos^2(x)+2cos(x)−1=0

3x=4−x

Step-by-step explanation:

Hoped that helped if it did may I please have a brainliest :)

Answer:

152

Step-by-step explanation:

Compute 49/24 of 15/24. Give your answer as a fraction in simplest form (not a mixed number).

Answers

Answer: 35/16

Step-by-step explanation:

Answer:

35/16

Step-by-step explanation:

49x15=735

Denominator will stay the same because both are same (24)

Then you simplify  735/24

Which will give you 35/16

Solve this problem. 74-4^3+6= *

Answers

Answer: The answer is 16

Step-by-step explanation:

16

74-4^3+6

=74-64+6

=10+6

=16

11. Use an inequality symbol (<,>, 2, =) to compare -26
54
A.
B. =
O C.<
O D.>

Answers

Answer:

c. less than symbol < because -26 is less than 54 because its far to the left from 54

priya changed the rate at which flowed through the faucet. write an equation that represents the relationship w of t and when it takes 3 minutes to fill the cooler with 1 gallon of water. Which of the following equations represent the relationship between w and t? select all that apply.

Answers

Answer:

i love you sm

Step-by-step explanation:

A. 48+1.2m>40
B. 40+1.2m<48
C. 48+1.2m<40
D. 40+1.2m>48

Answers

I think the answer is d
B is your answer because 40+1.2m is less than 48.

all real numbers between −14 and 14 inclusive

Answers

Answer:

-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

Answer:

-14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

I NEED THIS NOW! PLZ HELP! 1ST GETS BRAINLIEST! PLZ USE THE 3-READ PROTOCOL
manny has 1/2 of a yard of a fabric with which he intends to make bookmarks. each bookmark is made from 1/8 yard of fabric. how many bookmarks can manny make?

Answers

Answer:

Manny can make 4 bookmarks

Step-by-step explanation:

1/2 ÷ 1/8 = ?

(flip the second fraction and multiply)

1/2 x 8/1 = 8/2 = 4

Solve for x in the equation x squared minus 10 x + 25 = 35

Answers

Answer:

x=1

Step-by-step explanation:

10x+25=35

10x+25=35

    -25    -25

10x=10

10 divided by 10 is 1

x^2-10x+25=35

x= 5+ sqr root of 35
and
x= 5- sqr root of 35

Find a and b: (10-4i)-(a+bi)=(6-6i)

Answers

Answer:

look at attached image, hope this helps! :)

A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a common belief that refrigerated batteries last longer. This belief is tested by placing 10 fully charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. A coin tip was used to determine which type of storage each battery would be placed in first. Results indicated that there was no difference in the two types of storage Complete parts (a) through in below.
What type of experimental design is this?
A) Matched pairs design
B) Completely randomized design
C) Randomized block design
D) Case-control study

Answers

Answer:

A) Matched pairs design

Step-by-step explanation:

In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.

Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.

What is the correct answer?

Answers

Answer:

d) 3

Step-by-step explanation:

4t^2 +5t -1

in this equation there are 3 terms:

4t^2,      5t,        and  -1

Answer:

answer is 3 because there are 4t square + 5t -1

1 2. 3

What is 200 as a percent?

Answers

Answer:

Step-by-step explanation:

So, we know that 200 can also be written as 200.00 which does not change the value of the number. Now, we can turn it into a percentage by moving the decimal point to digits back: 200.00 --> 20000. So, this means that 200 is 20000%.

20000% would be the answer

Pick the answer that represents two inequalities using the following pair of numbers.



-21 and -22


−21 > −22; −22 > −21−21 > −22; −22 > −21 (A)

−21 < −22; −22 < −21−21 < −22; −22 < −21 (B)

−21 > −22; −22 < −21−21 > −22; −22 < −21 (C)

−21 < −22; −22 > −21 (D)

Answers

Answer:

C

Step-by-step explanation:

it's the only one whose inequalities match up, because 0 > -21 > -22

Answer:

C

Step-by-step explanation:

Solve the following inequality. Graph the solution.
4b + 3 < 19

Answers

Answer:

b<4 , I am not 100% sure on the graphing part and I have done this in 7th grade but I think it is A, not 100% sure.

In a recent car study, 55% of the cars tested failed the safety test. If 231 cars failed the test. How many cars were tested.?

Answers

Answer:

420 Cars were tested

Step-by-step explanation:

231×100÷55=420

is 4:3 and 3:4 equivalent

Answers

Answer: No

Step-by-step explanation:

sorry but nope...........

A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.”

Answers

Answer:

Mai is wrong since both travel the same distance in the same amount of seconds

Step-by-step explanation:

3 centimeters in 3 seconds is 1 centimeter a second for the slug

6 centimeters in 6 seconds is 1 centimeter a second for the snail

so both travel the same distance

Answer:

No, she is wrong. They are both going the same pace.

Step-by-step explanation:

3 centimer divided by 3 is 1. 1 cm a second. 6 centimeters didvided by 6 is 1.

1 cm a second. Hence they are both going the same speed. If you don't understand anything comment and ill explain more. Please heart and 5 stars and brainlest if you don't mind

q(x) = –2x+1
r.(x)=x²+2
Find the value of q (r (3)).

Answers

-21

r(3) = 3^2 + 2
= 11
q(11) = -2(11) + 1
= -22 + 1

Janet can make 4/5 of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?

Answers

Answer: 4 necklaces

Step-by-step explanation: 4/5 x 5 = 4

hope this helps

Answer:

Janet makes 2.4 necklaces in 1 hour

Step-by-step explanation:

first you need to find how many minutes it takes to make one necklace.

to do this, divide 20 by 4 and multiply by 5.

20/4 = 5

5 * 5 = 25

janet makes one necklace every 25 minutes.

one hour is 60 minutes.

60/25 = 2.4

help me please I will mark as top answer ​

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

your welcome

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