Suppose lifetime of certain type of car batteries are

normally distributed. Brand G has a mean lifetime of three years and

a standard deviation of one year. Brand M has a mean lifetime of 36

months and a standard deviation of four months.

(a) Which brand is more reliable and why?

(b) Pick one battery from each brand randomly, which one has a

better chance to last for four years and why?

Answers

Answer 1

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The brand (M) will become more reliable as the standard deviation of an (M) brand will be much lower than the standard deviation of (G) brand.

such as four years,

Calculating the z score for G brand[tex]= \frac{(4-3)}{1} = \frac{1}{1} = 1[/tex]

Calculating the z score for M brand[tex]= \frac{(4-3)}{(\frac{1}{3})} = \frac{(1)}{(\frac{1}{3})} = 1 \times \frac{3}{1}= 3.[/tex]

Because the z mark of the (G) brand is less, it is much more probable that the (G) Brand could last four years. It is because the variability of the (G) brand is very high, which allows lasting longer by expanding its expansion.


Related Questions

how do you find the x-intercept and y-intercept of an exponential function by looking at a graph

Answers

Answer:

You can find the x-intercept and y-intercept by looking at the origin (0,0). There you will see x and y point at zero.

Step-by-step explanation:

Hope this Helped

Helpp I’ll mark you brainlist

Answers

9514 1404 393

Answer:

  an = n + 1

Step-by-step explanation:

This arithmetic sequence has a first term of 2 and a common difference of ...

  3 - 2 = 1

The general term is ...

  an = a1 + d(n-1)

Using a1=2 and d=1, this is ...

  an = 2 +1(n -1)

  an = 2 + n - 1 . . . . . eliminate parentheses

  an = n + 1 . . . . . . . .collect terms

Answer 1. And 2.for Brainliest

Answers

Answer:

Step-by-step explanation:

10% discount means you pay 90% of the original cost x.

90% of x = $40.50

0.90x = $40.50

x = $40.50/0.90 = $45

:::::

total cost = 1.065·$40.50 ≅ $43.13

Write the equation of the parabola graphed below given the y-intercept is (0, 1)

Brainliest gets 45 points so please help ASAP

Answers

Answer:

y = -3/8(x - 4)² + 7 or y = -3/8x² + 6x + 1

Step-by-step explanation:

We can see on the graph that the vertex is (4, 7) and the leading coefficient is negative as parabola opens down.

The vertex form is:

y = a(x - h)² + k, substitute coordinates to get,y = a(x - 4)² + 7

Considering the y-intercept is (0, 1), substitute values to find the value of a:

1 = a(0 - 4)² + 7a(4²) = 1 - 716a = -6a = -6/16a = -8/3

The function is:

y = -3/8(x - 4)² + 7

In standard form:

y = -3/8(x² - 16x + 16) + 7 = -3/8x² + 6x - 6 + 7 = -3/8x² + 6x + 1

-4 ≥ k - 2
Solve the inequality

Answers

Answer:

-2 ≥ k

Step-by-step explanation:

First you have to use inverse operation and add 2 on both sides. You should get -2 ≥ k as your answer.

Answer:

k ≤ -2

Step-by-step explanation:

move -4

you will get -2

move k

k ≤ -2

Find the x- and y-intercepts of the graph of x– 10y = 31. State your answers as
whole numbers or as improper fractions in simplest form.

Answers

Answer:

x -intercept (31,0)

y-intercept (0,-31/10)

Step-by-step explanation:

x-10y=31

x-10(0)=31

x=31

x-10y=31

0-10y=31

-10y=31

y=-31/10

I’m sooo confused rn please help pleaseeeeeee

Answers

Answer:

i believe the answer is c

Step-by-step explanation:

i'm not entirely sure but i hope this helps :)

have a nice day !!

**please let me know if this was wrong**

 

Answer:

B & C

Step-by-step explanation:

you have to solve for x in both a negative and positive way

Draw the graph of the equation x − y = 4
Answer the following using graph paper:
(i) Find the value of y, if x = 7 from the graph.
(ii) Write the coordinate of the point where the graph intersect on x − axis.

Answers

Answer:

We have the equation:

x - y = 4

We can write this as a linear equation in the slope-intercept form if we isolate the variable y.

We get:

y = x - 4

Now to graph this function, we need to evaluate x in two different points and get two points (x, y) of the line.

If we use x = 1 and x = 2, then we get:

y(1) = 1 - 4 = - 3

Then we have the point (1, -3)

and:

y(2) = 2 - 4 = - 2

Then we have the point (2, - 4)

Now we need to draw these two points in the coordinate axis, and draw a line that connects the points, the example can be seen in the image below.

a) To use the graph, we need to locate the value x= 7 in the x-axis.

Then draw a vertical line

In the point where the vertical line intersects the graph, we draw an horizontal line.

The y-value will be the value at which this horizontal line intersects the y-axis

In this case, is at  y = 3.

Then when x = 7, y = 3.

(you can see it in the graph)

ii) The coordinate at which the graph intersects the x-axis can be seen in the graph, it is the point (0, 4)

PLEASE HELP- A triangle has vertices A(0, 0), B (9, 4), and C(–2, 10). What are the coordinates of the triangle after a dilation with a scale factor of 1/2 ?

Answers

Basically multiply the x and y coordinates of each point by 1/2

For example, I'll do C which is ( -2 , 10 )

-2 * 1/2 = -1 and 1/2 * 10 = 5

The new coordinate is ( -1 , 5 )

Now you can try the other points

:D

Harry buys a TV priced at £1200 plus 20% VAT.
He pays £300 deposit and the balance in ten equal monthly payments .
Calculate each monthly payment.

Answers

Answer:

114

Step-by-step explanation:

20% of 1200= 240

so total price is 1200+220=1440

he pays 300 beposit

1440-300=1140

now 1150 must be paid in 10 installments equally

11400÷10=114 is the answer

A thunderstorm travels at a constant speed. In 15 minutes , the storm travels 12 miles. If the storm continues to travel at the same rate, how far would it travel in 90 minutes?

Answers

Answer: 72 Miles In 90 Minutes

Step-by-step explanation: First, you have to divide both 15 & 12 by 15, (which represents minutes), and you get 1 over 0.8. Next, you multiply 1 over 0.8 times 90, which gibes you 90/72. There is your answer! I hope that you found this helpful.

Here is the equation below:

15/12 divided by 15/15 = 1/0.8 x 90/90 = 90 MINUTES/72MILES

HELLP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Using only odd numbers for numerators, write two different subtraction problems that have differences of 1/2. remember, you can equivalent fraction for 1/2

Answers

7/4 - 5/4 = 1/2 and 21/24 - 9/24 = 1/2

Step-by-step explanation:

7/4 - 5/4

= 2/4

= 1/2

21/24 - 9/24

= 12/24

= 1/2

Your Welcome! :)

Jahahdbdb pls help I’m failing geometry and rlly need to pass this semester. I’m really bad at smth.

Answers

Answer:

I dont know this but try Alpha Wolfram, its for all math and its sooo helpful (for future reference)

Step-by-step explanation:

(:

Mr. phill stopped to fill his car with gas on the way to New York. It took 1 ¼ minutes to fill a 15 liters of gas in his tank. At this rate, how long will it take to fill his 50 liter gas tank?

Answers

Answer:

4 1/6 min or 4 min 10 sec

Step-by-step explanation:

Filling rate is:

15 ÷ 1 1/4 = 15 ÷ 5/4 = 15 × 4/5 = 12 l/min

Total volume is 50 l, time required to fill is:

50/12 = 4 2/12 = 4 1/6 min or 4 min 10 sec

what is the radius of a hemisphere that has a volume of 36?

Answers

i hope this helps you!

y=x+4 in a verbal situation

Answers

Answer:

i hope thos help u

Step-by-step explanation:

i hope this graph help u

Answer: The number of doughnuts that Teresa, y, is the four more than x, the number of doughnuts Thomas has.

Step-by-step explanation: So if Thomas had 10 doughnuts, Teresa would have 14. If Teresa had 36 doughnuts, Thomas would have 32.

what is the 34th term in the sequence 7,12,17​

Answers

Answer:

172 is the 34th term

what is 500000 x 500000

Answers

Answer:

500000 x 500000 =250000000000

Step-by-step explanation:

Hope it help and have a great day

Answer: It's 250000000000

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Use the figure to find the measure of the numbered angles.

Answers

Answer:

I am not sure how your figure is, but I am using one of mine figure.

<1 is corresponding with <5.

<2 is corresponding with <6.

<3 is corresponding with <7.

<4 is a corresponding angle with the given angle.

<5 and <7 are vertical to the given angle.

<6 is a supplementary to the given angle.

I am not sure if answer is right, but hopw this helps, thank you :) !!

mrs patrick is employed by a clothing store.She recieves a 6% commission plus a small sallary. Last week she sold $8419 in clothing how much commission did mrs patrick receive

this is a story problem btw :)

Answers

Answer:

$505.40

Step-by-step explanation:

now wheres the answer to my question?

Answer:

630.babycrazy

Step-by-step explanation:

hmu on ig

The perimeter of a rectangle is 54 cm. The width is 1 cm shorter than the length. What is the length and width of the rectangle

Answers

Answer:

13 is the width and 14 is the length

Step-by-step explanation:

I divided 54 and got 13.5 then I started adding random numbers around 13 like 12+12+13+13 that didn't work it came out to 50 so I went up and did 13+13+14+14 and got my answer

Need help with this one please!!!!

Answers

Step-by-step explanation:

you have a quand app

not have means download

quand app on open and photos this one and come answer

In a video game, a guppy that escapes a net turns into three goldfish. Each goldfish can turn into two betta fish. Each betta fish can turn into two angelfish. Complete the diagram and write the number of fish at each stage. Write and evaluate an expression for the number of angelfish that can be formed from one guppy

Answers

Answer: 1 guppy = 3 goldfish

1 goldfish = 2 betta fish.....so 3 goldfish = (3 * 2) = 6 betta fish

1 betta fish = 2 angel fish....so 6 beta fish = (6 * 2) = 12 angel fish

so the number of angelfish that can be formed by 1 guppy is 12 angelfish

bus driver drove from Philadelphia to Washington D.C. He drove the first 100 km in 2 hours, the next 55 km in 1 hour, and the final 75 km in 2 hours. What is the average speed of the bus throughout the trip?

Answers

Answer: I think it’s 46

Step-by-step explanation: Because you add up the miles he drove them divide them by how long he drove

Ex 55+75+100=230 then you divide that by 5 hours = 46 per hour

In the following diagram BCD, AC = BC and mZACD=136 , which of the following is m (1) 22
(3) 44
D
(2) 68
(4) 74


Answers

Answer:

2) 68°

Step-by-step explanation:

The required answer is 68°

I NEED HELP ITS KINDA EASY BUT NOT FOR ME

Answers

Answer:

28m

Step-by-step explanation:

Formula of area

AREA = LENGTH (multiply) BREATH

Answer:

The area of a triangle can be calculated with the formula: 1/2(bh), where b is the base length, and h is the height.

In this case, 4 is the base, and 7 is the height.

So we have: Area = 1/2(4)(7)

Simplifying: Area = 2(7), Area = 14.

The area of the triangle is 14 meters squared.

Let me know if this helps!

Jonah calculates that the perimeter of the rectangle below is 6 1/4x - 3. Explain his error and include the correct expression.

Answers

Answer:

Jonah left out the other two sides!

A box of cereal costs $3.69. The box has 13.7 ounces of cereal. About how much does each ounce cost?

Answers

Answer:

HELP ME W MY PROBLEMS ASAP PLSSSS

Step-by-step explanation:

Please help thank you

Answers

Answer:

<BCE=76

Step-by-step explanation:

<BCD-<ECD=<BCE

147-71=76

6. Elizabeth drew a rectangle on a coordinate grid. How could she transform the rectangle to produce an image that is not congruent to the original rectangleA. Reflect it over the y-axis
B. Translate it 3 units right and 6 units up
c. Dilate it by a scale factor of 5
D. All of the above​

Answers

Answer:

C I think

Step-by-step explanation:

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