HELP ASAP PLS
The lifespan of a car battery is normally distributed with µ = 5 years and σ = 1.2 years. What is the probability that a new battery will last between 7 and 8 years?
a. 3.61%
b. 13.74%
c. 4.16%
d. 2.15%

Answers

Answer 1

Answer:

4.16%

Step-by-step explanation:

Had it on my test gl!

Answer 2

The probability that a new battery will last between 7 and 8 years is 4.16%.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

µ = 5 years and σ = 1.2

Now, P( 7 < x <8)

= P ( 7- µ/σ <  x- µ/σ < 8- µ/σ)

= P( 7- 5/1.2 < 7- µ/σ < 8- 5/1.2)

= P (1.5 < z < 2.5)

= Φ(2.5) - Φ (1.5)

= 0.9938 - 0.9522

= 4.16%

Learn more about Probability here:

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Related Questions

HELP ME PLWASE I WILL GIVE ALL POINTS.

What value of x makes this equation true?
0.6x + 7 = 0.1x -8

Answers

Answer:

-30

Step-by-step explanation:

0.6x+7=0.1x-8

0.6x-0.1x=-8-7

0.5x=-15

x=-15/0.5

x=-30

What is the area of the figure? Round to the nearest tenth.
8 in.
12 in.
A. 48.0 in.2
B. 62.0 in 2
C. 24.0 in.2
D. 96.0 in 2
O

Answers

Answer:

If the length and width are 8 and 12 than the area is 96. (D)

Step-by-step explanation:

Area is length x width.

12 x 8 = 96

Therefore, the area is 96.0 inches.

Please help with my hw I cannot figure this out

Answers

Answer:

K 1 k'1

J2 j'5

L,0 l'5

Step-by-step explanation:

Find the measure of the exterior angle.

Answers

Answer:

u = 143º

Step-by-step explanation:

Sum of angles in a triangle is 180

The unknown angle IN the triangle

x + 90 + 53 = 180

x + 143 = 180

x = 37º

x and u are supplementary angle which total 180

u + 37 = 180

u = 143º

I need the answer. Please help.

Answers

Answer:

300°

Step-by-step explanation:

To convert from radians to degrees

degree = radian × [tex]\frac{180}{\pi }[/tex] , then

degree = [tex]\frac{5\pi }{3}[/tex] × [tex]\frac{180}{\pi }[/tex] ( cancel π on numerator/ denominator )

            = [tex]\frac{5(180)}{3}[/tex]

            = 5 × 60°

            = 300°

I’ll mark brainlest

Answers

Answer:

2, 4

Step-by-step explanation:

Solve for the value of
b
b.
(3b+2)°
(7b-2)

Answers

Step-by-step explanation:

here is the answer click the photo

Tiya earns $7 an hour mowing her neighbor's lawn.

Part A: Create two variables and determine which is dependent and which is independent for this situation. (4 points)

Part B: List three ordered pairs to show the values of the two variables. (3 points)

Part C: Write an equation to represent the relationship between the two variables. (3 points)

Answers

Part A) The independent variable is the hours that Tiya mows her neighbor's lawn, and we can denote that with x. It's the variable that isn't affected by other factors. The dependent variable is the amount of money Tiya earns, which we can denote with y. The dependent variable is the variable that is affected by other factors. The amount of money Tiya makes depends on how many hours she works.

Part B) As stated in part A, x is the hours and y is the money earned. The ordered pairs are in (x, y) form, with x being the hours and y being the money earned. For example, if Tiya worked one hour, x would be 1. As she earns 7 dollars per hour, she would earn 7 dollars (1*7), which is y. Therefore, one ordered pair could be (1, 7). Two hours would give Tiya 14 dollars, so we have another pair of (2, 14). Three hours would give Tiya 21 dollars, so we have (3, 21). We can do that for any numbers.

Part C) With every hour, Tiya earns 7 dollars. In order to find y, which is the amount of money totally earned, we multiply x by 7 (7 dollars per hour). Therefore, y = 7x.

The variables are:

x = number of hours that she worksy = how much she gets paid.

And the proportional relation that relates them is:

y = $7*X

How to define variables?

The only information that we know is that Tiya earns $7 per hour, so the only variables that we can use are money and time.

The independent variable will be time, because she can decide how much time can she work. The dependent variable is money, because how much she earns depends on how many hours she works.

How to get ordered pairs?

The ordered pairs are of the form (number of hours, money).

Some examples for this case are:

(0 hours, $0)(1 hour, $7)(2 hours, $14).

How to get the equation?

We define the variables.

x = number of hours that she worksy = how much she gets paid.

Because she wins $7 per hour, the proportional equation will be:

y = $7*x

If you want to learn more about proportional equations, you can read:

https://brainly.com/question/12242745

State if the two triangles are congruent. If they are state how you know.

Answers

Answer:

ASA

Step-by-step explanation:

They are congruent by the ASA congruency.

what does it mean if your gf constantly sends you pics of her she keeps sending pics to me

Answers

Answer:

She probably wants attention from you maybe compliment her outfit or something like that.

PLEASE HELP WITH THE PROBLEM ON THE ATTACHED FILE

Answers

Step-by-step explanation:

First u have to do the work of bracket and the solve

in the figure below, two lines intersect, forming four angles. Write your answer in the space provided.
a =
b=
C=​

Answers

Answer:

Step-by-step explanation:

Angle A and 50 will combined have an angle of 180

Angle A = 180-50

Angle C is opposite of angle A and both will be equal. Same with Angle B and it's opposing Angle.

You got this!

ANSWER ASAP WILL MARK BRAINLIEST

Answers

Answer: A

Step-by-step explanation:

What is 4h when h=25?

Answers

Answer:

100

Step-by-step explanation:

When h has the value 25, the expression 4h has the value 4(25), or 100.

Answer:

100

Step-by-step explanation:

4(25)=100

1 + 1 = ??
pls help
~~SHOW YOUR WORK~~

Answers

Answer:

2

Step-by-step explanation:

1+1=2

the answer actually 2

Answer:

1+1 is equiavalent to the number two.

Step-by-step explanation:

You have one apple, you also have another apple, those apples make two apples. You are welcome.

Solve for x:
5/8=X-1/9

Answers

Answer:

x=5/8+1/9

x=53/72

......

Answer:

53/72 you didn't give me the answer choices but this is the exact form of this equation

What is the measurement of angle a

Answers

B : 30
95+55 = 150
180-150 = 30

The deli at the local grocery store sells chicken for $3.80 per pound, beef for $3.50 per pound, and salami for $2.90 per pound. Write an expression that shows how much it will cost to buy c pounds of​ chicken, b pounds of​ beef, and s pounds of salami.​
Write an expression that shows how much it will cost to buy c pounds of chicken, b pounds of beef and s pounds of salami

Then, find the cost for 1 pound of​ chicken, 1.8 pounds of​ beef, and 3.2 pounds of salami.
The cost of 1 pound of​ chicken, 1.8 pounds of​ beef, and 3.2 pounds of salami is ​$_

Answers

Answer:3.8c+3.5b+2.9s=total cost 19.38$

Step-by-step explanation:

Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic meters

Answers

Answer:8.5 Step by step: 15.8x9.2x8.5=1235.56

line f has a slope of -3. what is the slope of the line that is parallel to line f

Answers

Answer:

A line parallel has the same slope, so -3

The slope of the line that is parallel to line f is -3.

The given line f has a slope of -3.

We need to find the slope of the line that is parallel to line f.

What are parallel lines slope?

The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as [tex]m_{1}[/tex], [tex]m_{2}[/tex] then we have [tex]m_{1}=m_{2}[/tex].

So, the slope of the parallel line=-3

Therefore, the slope of the line that is parallel to line f is -3.

To learn more about the slope of parallel lines visit:

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7. A particular compound decays according to the equation y = ae-0.0736t, where tis in days. Find the
half-life of this compound.
a. about 9.1 days b. about 9.4 days
c. about 6.8 days d. about 7.4 days

Answers

Answer:

b. about 9.4 days

Step-by-step explanation:

Amount of the compound:

The amount of the compound after t days is given by the following equation:

[tex]y(t) = ae^{-0.0736t}[/tex]

The initial amount is:

[tex]y(0) = a[/tex]

Half-life:

t for which [tex]y(t) = 0.5a[/tex]. So

[tex]y(t) = ae^{-0.0736t}[/tex]

[tex]0.5a = ae^{-0.0736t}[/tex]

[tex]e^{-0.0736t} = 0.5[/tex]

[tex]\ln{e^{-0.0736t}} = \ln{0.5}[/tex]

[tex]-0.0736t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.0736}[/tex]

[tex]t = 9.42[/tex]

So about 9.4 days, and the answer is given by option b.

The probability of picking a quarter from a jar of coins is 0.125. If Cindy has 280 coins in the jar, how many quarters are in the jar?

Answers

Answer:

35

Step-by-step explanation:

HELLO CAN SOMEONE HELP ME IM FAILING MATH NO FAKE ANSWERS PLS TY :)

Answers

Answer:

Area of rectangle = 10 units²

Area of triangle = 10 units²

Area of figure = 20 units²

Step-by-step explanation:

Which elements present the whole? a. percentage b. base c. rate d. both a and b

Answers

1. Base presents the whole number

❤️#CARRYONLEARNING ❤️

College Math! Calculus!!!

Answers

Answer:

[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]3[/tex]

Step-by-step explanation:

[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]\int _0^{\pi }\sin \left(x\right)dx+\int _{\pi }^{\frac{3\pi }{2}}-\sin \left(x\right)dx[/tex] = [tex]2+1[/tex] = [tex]3[/tex]

BRANLIEST TO CORRECT PERSON.. plss help!

Answers

Answer:

C

Step-by-step explanation:

When the expression has an equal sign there is only one solution

6x = 150

* divide each side by 6 *

6x / 6 = x

150 / 6 = 25

we're left with x = 25

The answer would be C, because the dot is in between 24 and 26 which would be 25 and x equals 25

The window has the shape of a kite. How many square meters of glass were used to make the window?

Answers

Answer:

1568cm²

Step-by-step explanation:

28cm + 28cm = 56cm

35cm + 21cm = 56cm

56 × 56 = 3136cm²

3136cm² ÷ 2 = 1568cm²

The supply function for a product is given by p = 40 + 100 underroot 2x + 9, where x is the number of units supplied and p is the price in dollars. If the price is increasing at a rate of $1 per month, at what rate is the supply changing when x = 20?

Answers

the supply changing when x=20 is 40

what does proportion mean in algebra when dealing with graphs

Answers

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if y=Mc

The function f (x) varies directly with x and f (x) = 160 when x = 40.
What is f () when x = 8?
2
32
5
20

Answers

Answer:

it is 32.

I know this because it was in my last year syllabus

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