The lifetime for a certain type of tre has been shown to be five years the mean) with a standard deviation of 6 months. In a normal distribution, what percentage of these tires will
last more than six years (more than two standard deviations above the mean)?

Answers

Answer 1

Answer:

2.28%

Step-by-step explanation:

mean = 5 years = 60 months

standard deviation = 6 months

X = number of years the tires will last

P = probability of ...

z = z-score

6 years = 72 months

z = (# of months - mean) / standard deviation

z = (72 - 60)/6

z = 12/6

z = 2

P(X > 72) = 1 - P(X < 72)

= 1 - P(z < 2)    

(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)

So:

= 1 - .9772

= 0.0228 OR 2.28%


Related Questions

please help me!!!!!​

Answers

Answer:

AB

Step-by-step explanation:

Increasing by 5/1

If quadrilateral ABCD is translated 3 units to the left and 5 units down, what are the coordinates of point B after the translation?
options:
(3, 15)

(-2, -2)

(1, 3)

(-4, 0)

Answers

B translates to (-2,-2). You just start at B and count 3 units to the left (-2) and then go 5 units down (-2).

Which answer is correct ?????

Answers

Answer:

D

Step-by-step explanation:

The answer is

y = .613x + 4.142

this function has answer of d

Answer:

the first option..

Step-by-step explanation:

substitute the x values in the table for "x" in the equation and solve

jenny planned to solve 2/3 of her homework problems on saturday. however she got home late and had less time than planned. as a result she solved only 7/8 of the problems she planned to solve. how many problems are in jenny's notebook if she solved 28 problems on saturday

Answers

Answer:

48 problems

Step-by-step explanation:

Jenny planned to solve 2/3 of homework

On Saturday she solved 28 problems, which is 7/8 of the planned number

Planned number is:

28 : 7/8 = 28 * 8/7 = 32 problems

Jenny's homework was:

32 : 2/3 = 32 * 3/2 = 48 problems

HELP PLEASEEEEEEEEEE

Answers

Answer: 1/125

Step-by-step explanation:

first, i multiplied it.

1/5^3

then, it's easy to evaluate from there.

1/125

Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x

(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.

Answers

Answer:

d is the answer

Step-by-step explanation:

what are the coordinates of D’ after a dilation with a scale factor of 2?

Answers

Answer:

4,-2 that is what it should be

The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?

Answers

Answer:

150.88 cm²

Step-by-step explanation:

A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.

The opposite faces of a rectangular prism are equal to each other.

The total surface area (TSA) of a rectangular prism is:

TSA = 2(wl + wh + lh)

where w is the width of the base, l is the length of the base and h is the height of the prism.

From the question, we can see that:

w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:

TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)

TSA = 2(75.44)

TSA = 150.88 cm²

Can someone pls help me!!

A. 5 inches
B. 16 inches
C. 13 inches
D. 19 inches

Answers

Answer:

c. 13

Step-by-step explanation:

[tex]c=\sqrt{a^{2}+b^{2}} = \sqrt{12^{2}+4^{2}}[/tex] ≈ [tex]12.64911[/tex] ≈ [tex]13[/tex]

find the value of x that makes def ~ xyz
x=​

Answers

Answer:

x = 3.5

Step-by-step explanation:

[tex] \triangle DEF \sim \triangle XYZ\\\\

\therefore \frac{DE}{XY} =\frac{DF}{XZ} \\\\

\therefore \frac{5}{7.5} =\frac{7}{3x} \\\\

\therefore 3x = \frac{7.5\times 7}{5} \\\\

\therefore x = \frac{7.5\times 7}{3\times 5} \\\\

\therefore x = \frac{52.5\times 7}{15} \\\\

\therefore x = 3.5[/tex]

Step-by-step explanation:

If [tex]\triangle[/tex]DEF~[tex]\triangle[/tex]XYZ

[tex]\tt{\dfrac{DE}{XY}=\dfrac{EF}{ZY}=\dfrac{DF}{XZ} }[/tex]

According to the question

[tex]\tt{\dfrac{5}{7.5}=\dfrac{3}{4.5}=\dfrac{7}{3x} }[/tex]

[tex]\tt{\dfrac{3}{4.5}=\dfrac{7}{3x} }[/tex]

[tex]\tt{ 9x=4.5×7}[/tex]

[tex]\tt{ 9x=31.5 }[/tex]

[tex]\tt{ x=\dfrac{22.5}{9} }[/tex]

[tex]\tt{x=3.5 }[/tex]

Cara has driven one-fifth of the total distance, d, to her destination.


Which statement explains why both 1/5d and 0.2d can find the distance she has driven?




Multiplying by 1/5 is the same as multiplying by 20%.

Multiplying by 1/5 is the same as multiplying by 2%.

The fraction 1/5 is the same as the decimal 0.8. Therefore, 1/5d can be written as 0.8d.

The expressions are not equivalent.

Answers

Answer:

I dont even know man I wish I knew too

Hi , I have geometric question
What is x angel ?

Answers

Explain how I would know the answer

Margo can purchase tile at a store for $0.99 per tile and rent a tile saw for $18. At another store she can
borrow the tile saw for free if she buys tiles there for $1.89 per tile. How many tiles must she buy for the
cost to be the same at both stores?

Answers

Answer:

She Can Buy 9 tiles before it goes over the price of the other store

Step-by-step explanation:

I multiplied 1.89 times 9 and I got the answer

answer i will give you 40 points

Answers

Answer:

okay wheres the question

Step-by-step explanation:

sure whats your question.

I don't see any questions here?

A survey of a random sample of ninth-grade students from Alabama asked whether the students owned a
cell phone and whether they had brought a personal electronic device to use for schoolwork that day. The
two-way table of now relative frequencies below shows the data

Answers

Answer: A student who owns a cell phone is more likely to have brought a personal device than not to have brought one.

Step-by-step explanation:

(3,8) (9,0) find the slope

Answers

m= -8/6 = -4/3 which can go to -1.3 but u can keep it as a fraction if it needs to be

36 ft
27 ft
What is the length of the hypotenuse?
C
feet

Answers

36^2 + 27^2 = C^2
1296 + 729 = C^2
2025 = C^2
C = 45
45 feet is the length of the hypotenuse
Have a great day!!

Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12​

Answers

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

Determine the solution to the system of equations:
y = 3x +4
y = 2x + 1

Answers

Answer:(-3,-5)

Step-by-step explanation:

is this right? Whats the answer to C?​

Answers

Answer:

a. Multiplication property of equality

b. Distributive property

c. addition property of equality

Step-by-step explanation:

The first one is wrong because you are multiplying the 2 on both sides to make it equal. There was nothing that they substituted for.

The second one will be the distributive property not the subtraction property of equality. They distributed the 2 into the [tex]\frac{1}{2}x[/tex] and the [tex]-5[/tex]. So that clears up that this step was the distributive property.

This one will be the addition property of equality because when you have a negative number you do the inverse so they added the 10 on both sides. Therefore it's the addition property of equality.

Deborah bought a computer for 25% off the list price. If the list price is $2,428, how much did Deborah spend? A. $607 B. $1,821 C. $2,115 D. $2,403

Answers

Answer:

Option A, [tex]\$607[/tex]

Step-by-step explanation:

Given: Deborah bought a computer for [tex]25\%[/tex] off the list price.

The list price is [tex]\$2,428[/tex].

To find: The amount Deborah spent on the computer.

Solution: We have,

List price of the computer [tex]=\$2,428[/tex].

Deborah bought the computer for [tex]25\%[/tex] off the list price.

The amount Deborah spent on the computer [tex]=25\% \times 2,428[/tex]

[tex]=\frac{25}{100}\times2428=\frac{2428}{4} =\$ 607[/tex].

So, Deborah spent [tex]\$607[/tex] on the computer.

Hence, option A is correct.

Simplify the polynomial using multiplication.

−5b(2a−3a2)


−10a+3ba^2

−10ba+15ba^2

−5b+2a−3a^2

10ba−15ba^2

Answers

Answer:

−10ba+15ba^2

Step-by-step explanation:

The product of the given monomial and binomial is -10ab+15a²b.

The given expression is −5b(2a−3a²).

We need to simplify the polynomial using multiplication.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.

Now, 2a×(−5b)−3a²×(−5b)

=-10ab+15a²b

Therefore, the product of the given monomial and binomial is -10ab+15a²b.

To learn more about the multiplication of polynomials visit:

https://brainly.com/question/17419800.

#SPJ2

Peter's recipe for lemonade makes 48 cups of the drink. Which equation can be used
to find how many gallons of lemonade Peter's recipe makes?

Answers

Answer:

c i think

Step-by-step explanation:

The equation can be used to find how many gallons of lemonade Peter's recipe makes is 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt = 3 gal.

What is Unit Conversion?

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

1 Cups = 0.0625 Galloon.

Peter make 48 cups of drink.

So, 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt

= 24 pt x 1 qt / 2 pt x 1 gal / 4 qt

= 3 gal

Hence, 48 cups of the drink.

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

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Calculate the slope.
(-12,-5) and (0, -8)

Answers

Answer:

-1/4

Step-by-step explanation:

slope is always rise/run so

(-8)-(-5)=-3

-3/12=-1/4

the slope is -1/4

Enjoy^^

(-81) + 70=
Uhhhh answer someone-

Answers

Answer:

-11

Step-by-step explanation:

A store manager predicts that 60 hats will be sold if each hat costs $20. The manager predicts that 2 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 30 hats will be sold?

Answers

40 is ur correct answer

100-60=40 is the number of hat sales the manger can afford to lose 40/4=10

The function G(t) = 2t represents the number of guitar lessons, G(t) you can complete in T months. How many guitar lessons can you complete in seven months

Answers

Answer:

14 lessons can be completed

Step-by-step explanation:

From the question, to get the number of lessons that can be completed, we simply multiply the number of months by 2

Thus, we have that;

G(2) = 2 * 7

G(2) = 14 lessons

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) . Jim believes that he has created a rhombus but not a square. Prove that Jim is correct.

Answers

Answer: yes Jim is correct

Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

What is a quadrilateral?

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.

If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .

The diagram is given below.

From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

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A cat adoption facility takes in an average of 4 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 164 cats. If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.

Answers

200 >= 164 + 4x
>= is greater than or equal to

Pls help and show workings due ASAP

Answers

The answer is either A or C
actually it's D
29 + 5 = 34/2 = 17
7 - 15 = -8/2 = -4
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