NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.7 hours. Your statistics class questions this claim. As a class, you randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly, what is the probability of getting a random sample of 30 batteries in which the sample mean lifetime is 16.7 hours or less

Answers

Answer 1

Answer:

0.020

Step-by-step explanation:

Given that,

μ = 17,

σ = 0.7,

x¯ = 16.7 hours

n(number of batteries) = 30

To find,

The probability(e) by using μ\frac{σ}{[tex]\sqrt{n}[/tex]} = normal cdf

∵ (E - 99, 16.7 , 17, 0.8/[tex]\sqrt{30}[/tex])

The probability of getting a random sample of 30 batteries = 0.020

Hence, the claim is reasonable as only 2% of batteries are likely to last till 16.7 hours.


Related Questions

Convert 32 degrees to radians

Answers

Answer:

32 degrees = 0.558505 radians

Step-by-step explanation:

Because I said so

Answer:

8π/45 rad

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

Degrees to Radian Conversions: π/180

Step-by-step explanation:

Step 1: Define

32°

Step 2: Convert

Set up:                                                                                                             32°(π/180°)Multiply:                                                                                                           8π/45 rad


Carly wants to buy 10 litres of
paint and only wants to go to
one shop to buy it.

Home Stores sells 2 / tins of
paint for £4.40 each.

Paint Supplies sells 1 / tins of
paint for £3.10 each and it's 3 for

The DIY shop sells 2.5/tins of
paint for £7.10 each, and it's buy
3 get 1 free.

What is the cost of getting 10
litres from each shop?
Write down where Carly should

Answers

Answer:

The correct answer is:

Home stores: £23.75

Paint Supplies: £27.30

The DIY Shop: £22.50

-y^2 =25y+6y^3
find y





Answers

There are 3 y’all in the equation

Answer:

y=0

Step-by-step explanation:

Hope this helps you.

SOLVEEEEEE XXXXXXXxx

Answers

Answer:

25 degrees

Step-by-step explanation:

The total angle sum of a triangle is 180 degrees

since the two sides are equal...

(x) + (x) + (4x + 30) = 6x + 30 = 180

==> x = 25 degrees

You recently saw a news article that included this graph and had the title “A Nation of Procrastinators”. What evidence from the graph supports this title?

Answers

Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January

Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year

Can someone please help

Answers

Answer:

(x+5) and (x-7).

Step-by-step explanation:

The given equation is :

[tex]x^2-2x-35[/tex]

We need to write it in factored form.

We have to find two number such that their sum is 2 and product is 35.

We know that,

7×5 = 35 and 7+(-5) = 2

So,

[tex]x^2-2x-35=x^2-7x+5x-35\\\\=x(x-7)+5(x-7)\\\\=(x+5)(x-7)[/tex]

Hence, the required factors are (x+5) and (x-7).

T/F Inverse Equation. Brainliest for correct answer! Please only answer if you understand!

Answers

I think it is true but not for sure

Answer:

F

Step-by-step explanation:

Dot plot 1 is the top plot. Dot plot 2 is the bottom plot.
According to the dot plots, which statement is true?
Х
The range of the data in dot plot 1 is less
than the range of the data in dot plot 2.
10
The mean of the data in dot plot 1 is
greater than the mean of the data in data
plot 2.
Х
х
The median of the data in dot plot 1 is
equal to the median of the data in dot plot
2.
The mode of the data in dot plot 1 is less
than the mode of the data in dot plot 2.

Answers

Answer:

the answer is b. The mode of the data in dot plot 1 is less than the mode of the data in dot plot 2.

Step-by-step explanation:

In the dot plots 1 and 2, the statement which is true is that the mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.

What is dot plot?

The dot plot is the way oif representation of the data. This data is plooted in the form of points or dots over an x-y axis. The dot polt is also known as the strip plot.

Dot plot 1 is the top plot. The value of it are as,

2,3,4,5,5,6,6,6,6,7,7,7,8,8,9,10

Dot plot 2 is the bottom plot. The value of it are as,

1,2,2,3,3,4,4,4,5,5,5,6,6,7,8,9

The options given in the problem are,

The range of the data in dot plot 1 is less than the range of the data in dot plot 2-

Range is difference between the highest and lowest value. The range of the first dot plot is,

[tex]r_1=10-2=8[/tex]

The range of the Second dot plot is,

[tex]r_2=9-1=8[/tex]

Range of dot plots are equal.

The mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.

Mean of the dot plot one is 6.1875 and mean of the dot plot second is 4.625.

The median of the data in dot plot 1 is equal to the median of the data in dot plot

The median of the data in dot plot 1 is 6 and the median of the data in dot plot is 4.5. Thus they are not equal.

The mode of the data in dot plot 1 is less than the mode of the data in dot plot 2.

The mode of the data in dot plot 1 is 6 and the mode of the data in dot plot 2 is 4 and 5. Thus this is not correct option.

Hence, in the dot plots 1 and 2, the statement which is true is that the mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.

Learn more about the dot plot  here;

https://brainly.com/question/15853311

A company has 76 employees of whom x are members of a union. How many employees are not union members?

Answers

Answer:

70 - x.

Step-by-step explanation:

the number of employees that are not union members is the number of employees in total minus the number of union members.

Can the sides of a triangle have lengths 2,4, and 10? Yes or no

Answers

Answer:

no

Step-by-step explanation:

the length of the smaller sides have to add up to the length of the largest side

Restaurants often slip takeout menus under Rosa's apartment
door. So far, Rosa has collected 15 menus, including 5 for
Indian food. Considering this data, how many of the next 18
menus slipped under Rosa's door should you expect to be
from Indian restaurants?

Answers

Answer:

6.

Step-by-step explanation:

Since restaurants often slip takeout menus under Rosa's apartment door, and so far, Rosa has collected 15 menus, including 5 for Indian food, to determine, considering this data, how many of the next 18 menus slipped under Rosa's door should be expected to be from Indian restaurants the following calculation and logical reasoning must be performed:

5/15 = 0.333333

Thus, 1/3 of the restaurant ads correspond to Indian restaurants. Therefore, since 18 x 1/3 equals 6, the number of Indian restaurant menus that could be expected to be slid under Rosa's door is 6.

39 - 15x if x = 2
Evaluate

HELP PLEASE!!

Answers

The Answer Would Be 9

39 - 15x
15 x 2 = 30
39 - 30 = 9

Draw the graph of y=-x
for values of x from -4 to 4
4
3
2
1
O
-4.
-3
-2
-1
-2
3

Answers

make sure that you line up your y values and your x values

Which of the binomials below is a factor of this trinomial? 6X squared minus 7X -5

Answers

Answer:

C. 2x + 1

Step-by-step explanation:

Factorize 6x² - 7x - 5

6x² + 3x - 10x - 5

3x(2x + 1) - 5(2x + 1)

(3x - 5)(2x + 1)

Therefore, 2x + 1 is a binomial factor of 6x² - 7x - 5.

BRAINLIEST WILL GIVE YES U HEARD ME

Answers

Answer:

A / commutative property

Step-by-step explanation:

Find an angle 0 coterminal to 904°, where 0° < 0 < 360°

Answers

Answer:

184

Step-by-step explanation:

What you can do is just divide 904/360 and the remeinder is the answer so for this 1080 is too big so 720 and it is 904-720=184

Is it possible to construct a triangle with side lengths of 35,120, and 125 units?

Answers

If the sum of the two smallest sides of a triangle are less than the third side, then the triangle cannot be constructed, since the sides would not be able to touch. However, since 35+120 is greater 125, this triangle can be formed

Select ALL the statements that are true.

a
The radius of a circle is two times larger than the diameter.
b
The diameter of a circle is two times larger than the radius.
c
The diameter is half the radius of a circle.
d
The radius is half the diameter of a circle.

Answers

Answer:

a b d are true statement ..............

hurry up need this answered quickly!

Out of the 95 customers at Hannah's boutique, 25 wore a size extra-large. What is the probability that a randomly selected customer wore a size extra-large?

Answers

Answer:

26.3158 percent chance fraction is 500/19

Step-by-step explanation:

hope this helps

pls mark brainliest

fraction is 500/19

Jonathan has 3 1/3 yards of fabric. He cuts it into strips to wax his car. Each strip is 5/6 yards long. How many strips of fabric does he have?

Answers

First, change 3 1/3 to an improper fraction
3 1/3 = 10/3
Next, convert that to 6ths
10/3 = 20/6

Divide 20/6 by 5/6 = 4 strips of fabric

Please help ASAP. Thanks so much.

Answers

C is the answer

4,-14

Un edificio de 10.5 metros de altura proyecta una sombra 17 metros en un momento dado. ¿Qué ángulo a forma el
sol con el horizonte en ese momento?

Answers

Answer:

NOSE BRO TU DIME KSUSHSDVFNF SJAJAJAJAJAJAJAJAJAJAJAJAJAJAJAAJAJJXXJXKDKDKXJXJXHDDD

Absolute value of - 2/7

Answers

The absolute value of -2/7 is 2/7

Explanation:
Absolute value is the distance from zero, or zero, on a number line, regardless of direction, which is always positive.

Answer:

Absolute value of - 2/7 is -0.285714285

2
3250 m + 1,662 km =

Answers

Answer:

1,665.25 km

Step-by-step explanation:

you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of pushups y.

Answers

The number of push-ups will be zero for zero seconds. Then the equation will be y = 0.4x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You can perform 10 push-ups in 25 seconds.

Then the equation represents the relationship between time x and the number of pushups y will be

The number of push-ups will be zero for zero seconds.

Then we have

y - 0 = [10/25] (x - 0)

    y = 0.4x

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

In ΔQRS, the measure of ∠S=90°, SQ = 13 feet, and QR = 59 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answers

Answer:12.7

Step-by-step explanation:

Answer:

it's 12.7 on delta math

Step-by-step explanation:

It takes Naomi 4 minutes to run 5 laps.
How many minutes per lap is that?
And remember is minutes per lap please do it fast

Answers

Answer:48 seconds per lap

Step-by-step explanation: 60 seconds per minute x 4 minutes= 240 seconds per lap. 240 seconds divided into 5 laps is 48 seconds per lap

how many seconds are there in 8 minutes 12seconds​

Answers

Answer:

1 minute has 60 seconds

therefore 8 minutes will have 60 × 8 seconds = 480 seconds

480 + 12 = 492

hence 8 minutes 12 seconds will have 492 seconds

Answer: 492 seconds

Step-by-step explanation:

1min = 60sec

therefore, 8min 12sec = [8 x 60] + 12

= 480 + 12

= 492 sec

Hope it helped u,

pls mark as the brainliest        - Ayaan707 for help :) -

^_^

Classify the following triangle. Check all that apply
A Acute
B. Isosceles
C. Equilateral
D. Right
E. Scalene
OF Obtuse
SUOMIT

Answers

Answer:

acute

Step-by-step explanation:

The answer is A. acute

S
The sum of two numbers is 90. The larger
number is 14 more than 3 times the smaller
number. Find the numbers.
First complete the equations below. where x stands for
the larger number and y stands for the smaller numben
x+y = [?]; x =[]+[ ]y
Enter

Answers

Answer:

x=71 and y=19

Step-by-step explanation:

First, we write out the first sentence as an equation. This is x+y=90. We also know that x=3y+14 because of the second sentence. Using this, we can substitute x in the first equation with what it is (3y+14). This makes the new equation 3y+14+y=90. Then, we collect like terms by adding the 'y's together - making 4y+14=90. We need to make the letters on one side and the numbers on the other. To do this, we subtract 14 from each side, making 4y=76. We want to find out what 'y' is by itself (not multiplied by four) so we divide each side by 4. This means that we have found out that y=19 because 76÷4=19. Now, it is time to solve x. Using our new knowledge that y=19, we can replace y in the equation x+y=90 with 19 so now we have x+19=90. This is the same as 90-19=x and we know that 90-19=71, so x must be 71. In conclusion, x=71 and y=19.

I hope this helps, have a great day!

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