A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.

Answers

Answer 1

Answer:

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

Step-by-step explanation:

Given that:

Mean lifetime (m) = 1200

Sample size (n) = 25

Sample mean (x) = 1180

Standard deviation (s) = 80

α = 0.05

The null hypothesis :

H0 : m = 1200

Alternative hypothesis : m ≠1200

The t statistic :

(x - m) / (s/√n)

(1180 - 1200) / (80 / √25)

-20 / (80/5)

= - 1.250

P value = 0.10565 ( p value calculator)

Reject Null hypothesis if p > α

At α = 0.05

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05


Related Questions

Austin makes a
Commission of 20% on
his sales each week.
Last week, his sales
were $520. How much
was Austin's
Commission?

Answers

Answer:

104$

Step-by-step explanation:

520/10*2

Answer:

$104

Step-by-step explanation:

cool person said it so

Write the equation of the line in slope intercept form that has the given slope and the y-intercept

4). m=2;y-intercept is -6
5). m= -1; y-intercept is 3
6). m= -1/3; y-intercept is -1

Answers

4). y = 2x - 6

5). y = -1x + 3

6). y = -1/3x - 1


PLEASE ANSWER ASAP
Part I: Given the function ()-3./242)
A. What restriction is there on the value under the square root symbol? In other words, what can't you
do with a square root expression? (1 point)

Answers

Answer:

x - 2 ≥ 0

Step-by-step explanation:

The expression under the square root cannot be negative, thus

x - 2 ≥ 0 , that is

x ≥ 2

8x-4y= -56 put in
slope-intercept form

Answers

Answer: x=2x +14

Step-by-step explanation:

1) subtract 8x from both sides: -4x= -8x -56

2) divide both sides by -4: x=2x +14

The answer is Y=2x + 14

Complete the table of values for this equation:
y= 4x +30
Enter your answer by filling in the boxes.
х
y
3
4
5

Answers

Answer:

x = 1 , y = 34

x = 2 , y =  38

x =  3 , y = 42

x = 4 , y = 46

x = 5 , y = 50

Step-by-step explanation:

The solution for the equation at different values is given below:-

x =  3 , y = 42

x = 4 , y = 46

x = 5 , y = 50

What is a linear equation?

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that the equation is y= 4x +30. From the table, the value of y at different values of x will be:-

x =  3 , y = ( 4 x 3) + 30 =  12 + 30 = 42

x = 4 , y = ( 4 x 4 ) + 30 = 16 + 30 = 46

x = 5 , y = ( 4 x 5 ) + 30 = 20 + 30 =  50

Therefore, the solution for the equation at different values is at x =  3 , y = 42 then at x = 4 , y = 46 and, at x = 5 , y = 50.

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To anyone reading this HAVE A GOOD DAY

Answers

Answer:

Thank you!

Step-by-step explanation:

I hope you have a good day as well :D

Answer:

Thank you :)

Step-by-step explanation:

Which linear equations have an infinite number of solutions? Check all that apply.


(x – 3\7) = 2\3 (3\2x – 9\14 )

8(x + 2) = 5x – 14

12.3x – 18 = 3(–6 + 4.1x)

1\2(6x + 10) = 7(3\7x – 2)

4.2x – 3.5 = 2.1 (5x + 8)

Answers

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

In ARST, mZR = (5x + 15)", mZS = (6x + 8)°, and mZT = (4x + 7)º.
What is the value of x?

Answers

Answer:

10

Step-by-step explanation:

(5x + 15)° + (6x + 8)° + (4x + 7)° = 180°

15x + 30 = 180 ⇒ x = 10

Help solve this issue with mathematics

Answers

Answer:

last one

Step-by-step explanation:

i would say the last one, but im not sure, this one is really hard

Lucy has $8.15.

She loses $3.00.

About how much does she have now

Answers

The answer is $5.15! Hope this helps

Answer:5.15 or 5 rounded

Step-by-step explanation:

8-3=5 and add .15

Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent

Answers

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

The original price of the tire that Gary would have paid had it not been for the discount is $160.42

Gary spent $96.25 on a new tire but this tire had been discounted by 40%.

This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:

x - (x × 40%) = 96.25

x - 0.4x = 96.25

0.6x = 96.25

x = 96.25 / 0.6

x = $160.42

In conclusion, the original price was $160.42.

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Twelve large bottles of water cost $9.How many bottles can you buy for $3?

Answers

Answer: 4 large bottles of water for $3.

Step-by-step explanation: To find how many large water bottles you can buy with $3, you’ll have to divide 12 by 3 which equals to 4. You can check your answer by multiplying 4 x 3 which equals to 12, which is the original amount of large water bottles you can buy for $9.

if petrol cause $1.20 per gallon how much would 5 3/4 gallons cost

Answers

It would cost $6.90:)

Answer:

$6.90

Step-by-step explanation:

1.20 x (5 3/4) = 6.9

Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost her?
A
Write the fraction 14 gallons/$35, and divide the top and bottom by 35.

B
Write the fraction $35/14 gallons, and divide the top and bottom by 14.

C
Write the fraction $35/14 gallons, and multiply the top and bottom by 14.

D
Write the fraction 14 gallons/$35, and subtract 35 from the top and bottom.

Answers

B is your answer , you divide !!

bye cus im so bad at math smh.

on top it says:
“The graph shows the amount two cleaning companies are charged based on the number of hours it takes them to clean.”
SOMEONE HELP PLS

Answers

The answer is the third one. Trust me. I don't feel like explaining.

Step-by-step explanation:

I need help, algebra is hard

Answers

Answer: C

Step-by-step explanation:

I think this one is it?

Answer:

c

Step-by-step explanation:

i need help :( jejeendhndhednndndndn

Answers

Ccccccghhf by gbhbuh hubhuybbhubbubuubububhbbuububububububububububhbctftrddrsxrcrftinioihybvytcxrzezewstggybumiooygctxrdeessgyubinn out t cams z

My school is giving me a 1-day break for Thanksgiving and I'm very sad, I wanted at least 2-3 days.

Answers

Answer: If your school is only giving you a day off take memories that one day.

Step-by-step explanation: I'm also very sorry that you didn't get 2-3 days off. I get 2 days off and then the weekend.

Can I get brainlest please?! Also have a great day! (Everyday)

Answer:

i feel the same way :>

Step-by-step explanation:

but what you can do is try to enjoy the day as much as you can!!  :)

What is the equation of a line passing through the point (-4, 8) that is parallel to the line y = 2x + 6

Answers

Answer:

y = 2x + 16

Step-by-step explanation:

slope is parallel and equal to y = 2x + 6

y intercept = 16

Answer:

b - y=2x+16

Step-by-step explanation:

y=y1+m(x+x1)

(-4,8)

y=8+2(x-4)

y=8+2x-8

add 8 on both sides

y=2x+16

if you had two = five what would five + seven be

Answers

Answer:

14

Step-by-step explanation:

2 plus 5 plus 7

due 7:59 am est. Faith is saving up to buy a new bicycle. She already has $40 and can save an additional $6 per week using money from her after school job. How much total money would Faith have after 8 weeks of saving? Also, write an expression that represents the amount of money Faith would have saved in w weeks.

Answers

Answer:

After 8 weeks, Faith would have $88. money saved = 40+6w

Answer:

$88 saved in 8 weeks

Step-by-step explanation:

Part 1:

You would first set up the equation 40 + (6 x 8) = t. T would be the total money saved. You would then do 6 times 8 first, as they're in parenthesis. You would get 48. You now have 40 + 48 = t. You would now add like terms, and you would get 88 = t. You would save $88 in 8 weeks.

Part 2:

40 + 6w = t

w would represent the number of weeks, t would represent the total number of money saved.

An art teacher has 28 students in her first-period class and 24 students in her second-period class. If almost 30% of the students in these classes are boys, about how many boys are in her first two classes?
A. 36
B. 15
C. 8
D. 7

Answers

Answer:
C. 8


Explanation:
One way to solve this is to find 30% of each class, 28 and 24.

30% of 28:
28 • 0.30 = 8.4
30% of 24:
24 • 0.30 = 7.2

You can then find the average of these two numbers.

8.4 + 7.2 = 15.6
15.6 ➗ 2 = 7.8
7.8 rounds up to 8

Another way to solve is to first find the average number of people in each class.

28 + 24 = 52
52 ➗ 2 = 26

You can then find 30% of this number.

26 • 0.30 = 7.8
7.8 rounds up to 8

The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours

Answers

Note: Consider we need to find the constant of proportionality.

Given:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

It costs $27 to rent the kayak for 5 hours.

To find:

The constant of proportionality.

Solution:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.

[tex]27=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{27}{5}=k[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].

un terreno rectangular tiene 12 m. De frente y 40 m de fondo .
¿ cuál es el costo del terreno si el metro cuadrado cuesta $2100?

Answers

Answer:

El costo de las dimensiones dadas es $ 1092000

Step-by-step explanation:

Dada

Longitud = 13m

Profundidad = 40m

Costo de 1m² = $ 2100

Required

Determine el costo del terreno Primero, necesitamos determinar el área del terreno.

Primero, necesitamos determinar el área del terreno.

Área = Longitud * Profundidad

Valores sustitutos de Longitud y Profundidad

Área = 13m * 40m

Área = 520m²

A continuación, calculamos el costo del área calculada

Si 1m² cuesta $ 2100

Entonces

520m² cuesta $ 2100 * 520

Costo = $ 1092000

Por lo tanto, el costo de las dimensiones dadas es $1092000

For the inequality y < 8 which statement best describes the graph?
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
There would be a horizontal solid line on (0,8) and shading would occur above the line.
There would be a vertical dotted line on (8,0) and shading would occur to the right of the line
There would be a vertical solid line on (8,0) and shading would occur to the left of the line.

Answers

Answer:

There would be a horizontal dotted line on (0,8) and shading would occur below the line.

I just took the test and got it right :) hope this helps!

For the given inequality, the best describes the graph is that there would be a horizontal-dotted line on the point (0, 8) and shading occurred below the line. Hence, option A is correct.

What is a graph?

In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.

Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.

When the is made, there is the shaded area provided that is made due to intersection of lines and the area below the both the lines and the common that is said to be the shaded area.

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Determine the solution to the equation. 8+4x=2x+8+2x

Answers

Answer: x= all real numbers.

Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.

Answer:

8=8

Step-by-step explanation:

8+4x=2x+8+2x

combine like terms

8+4x=4x+8

subtract 4 from both sides

8=8

I HOPE THIS HELPED!!!!

Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =​

Answers

Answer:

x = 12

(2x + 1)° = 25°

(5x + 5)° = 65°

Step-by-step explanation:

By the property of a triangle,

Sum of all angles of a triangle is 180°

In the given right triangle,

(2x + 1)° + 90° + (5x + 5)°= 180°

7x + 96 = 180

7x = 180 - 96

x = [tex]\frac{84}{7}[/tex]

x = 12

Angle (2x + 1)° = 2(12) + 1 = 25°

Angle (5x + 5)° = 5(12) + 5 = 65°

Therefore, all three angles of the right triangle are 25°, 90° and 65°.

Please help!!
Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.

Answers

Answer:

Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times.

Mr. Christian is giving away special candies for Halloween. He has decided to spend $75 on Halloween candies. Each bag of candied raisins costs
$2.25 and each bags of Snickers costs $3.50.
1. Write the equation that represents this situation. Be sure to include what your variables stand for.
2. If Mr. Christian decides to buy 10 bags of candied raisins, how many bags of Snickers did he buy?

Answers

Answer:

1. For the candied raisins, r can represent the candied raisins

r = $2.25

t can equal total

t = total

And for the snickers, s can represent them

s = $3.50

Our equation would be: r + s = t

2. $52.50

10 bags of candied raisins would cost $22.50 so then we would subtract $22.50 from $75.00 because Mr. Christian wants to spend his full amount. We would get $52.50 from subtracting which is the amount he spent on the Snickers!

I hope that this can help you

Answer:

1: 2.25r + 3.50s = 75 ( r = raisins and s = snickers )

2: 15

Step-by-step explanation:

If you are creating an equation, you need to know which parts of the question should be included. The parts included in this equation would be $75 (total amount of money spent on candy), $2.25 (cost of 1 bag of candied raisins ), and $3.50 (cost of 1 bag of snickers).In order to make the equation, you would need to multiply both 2.25 and 3.50 by the amount of bags bought, however we do not know that yet, so we use variables. I chose to use r to represent the bags of candied raisins bought, and s to represent the bags of snickers bought. So that would leave you with 2.25r + 3.50s. Now since 75 is the total amount of money spent, you would set 2.25r + 3.50s equal to 75.

The answer to number 2 is 15. If you were to substitute r for 15, the new equation would be 2.25(10) + 3.50s = 75. When you multiply 2.25(10), you get 22.50. you would then subtract that from 75, giving you 50.50. The equation is now 3.50s = 50.50. The next step is to divide 3.50 on both sides, which would result in just the variable on the left side, and 15 on the right side of the equals sign ( s = 15 )

What is the factored form of 250x3 − 16?

Answers

Answer: 2(5−2)(25^2 + 10 + 4)

Step-by-step explanation:

I took a test with the same question and got it right. Hope this helps

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