The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The company makes 10,000 tires a month. What is the probability that if a radial tire is purchased at random, it will last
between 20,000 and 35,000 miles?

Answer:

explain:

you have to multiply because dilutions are a decrease so if you go from a small box to a bigger one you must multiply

The scale factor of the dilation in the image given is: 4.

For any dilation, the scale factor = dimension of new figure/corresponding dimension of original figure.

The smaller figure was dilated in the image to get the bigger figure. This means, its an enlargement.

Scale factor of dilation = dimension of new figure/corresponding dimension of original figure = 4 units/1 unit = 4

Therefore, the scale factor of the dilation in the image given is: 4.

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Answer:

1/3 is closer to 1 whole

Step-by-step explanation:

Answer:

25.685 square feet.

Step-by-step explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.

Answer:

-3

Step-by-step explanation:

\((5(-3)+4= -15+4=-11) (2(-3)-5=-6-5=-11)(-11=-11)\)

Answer:

y = -3

Step-by-step explanation:

Isolate y

5y + 4 = 2y - 5

subtract y from both equations

3y + 4 = -5

Add 5 to both sides

3y +9 = 0

subtract 9 from both sides

3y = -9

divide both sides by 3

y = -3

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141.37 square inches

Answer:

  about 141.4 square inches

Step-by-step explanation:

You want the area of icing on a cake that is 10 inches in diameter and 2 inches high.

The icing on a cake covers the lateral surface area and the area of the circular top. In terms of diameter, the sum of those areas is ...

  icing area = πdh +(π/4)d² = πd(h +d/4)

  icing area = π(10 in)(2 in + (10 in)/4) = π(10 in)(4.5 in)

  icing area = 45π in² ≈ 141.4 in²

The area of icing on the cake is about 141.4 square inches.

__

Additional comment

If you use 3.14 for π, you get 141.3 square inches.

The attachment shows the "pi button" value. We have rounded to tenths, The full precision result is given so you can round to your checker's requirements.

<95141404393>

Answer:

-7

Step-by-step explanation:

it would be -7 because the more you go under the number becomes a negative but if you go above sea level the number becomes a positive!

Answer:7 feet below sea level is a lower elevation than 4 1/2 feet above sea level

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

4/12 = 1/3

Answer:

A

Step-by-step explanation:

A is equal to 4/12, which simplified is 1/3.

Answer:

-22.5

Step-by-step explanation:

-15- |-7.5|

after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.

-15-7.5

=-22.5

The simplified expression -15 - |-7.5| is equal to -22.5.

To simplify the expression -15 - |-7.5|, we'll follow these steps:

Evaluate the absolute value: |-7.5|.

The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.

Substitute the absolute value into the expression:

-15 - 7.5.

Perform the subtraction:

-15 - 7.5 = -22.5.

Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.

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Answer:

12.5 or B

Step-by-step explanation:

12.5 times 4 is 50. Since 25% one fourth, I timesed every option by 4 until one equaled 50.

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer:

y=-2x+5. The slope (-2) of the equation is the same, so they are parallel.

Answer:

The Range Stays 48°.

Step-by-step explanation:\

Since the value 80.4° is not the highest and not the lowest value on the list, it does not change the range.

Hope this helps!

Answer:  B.  The range stays 48

Step-by-step explanation:

The largest answer is 105 and the smallest answer is 57.  The range is the range of numbers from smallest to largest so to find the range you subtract the largest and the smallest

Range = 105 - 57

Range = 48

The range will not change because if you put 80.4 in there, it's not the largest or smallest so it does not affect the range.

So answer is B. The range stays 48

The value of theta in tanФ = 28/47 is 30.75° .

Given,

tanФ = 28/47

Here,

tanФ in right angled triangle measured by,

tanФ = P/B

P = perpendicular

B = base

Here,

tanФ = 28/47

Take inverse of tan to obtain the value of Ф .

Ф = \(tan^{-1}\) (28/47)

Ф = 30.75° .

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Violet will need to use 300 tiles for tabletop.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Number of glass tiles Violet has = 30

Now,she would like to mosaic tile a tabletop with 10 times that number of tiles

So, number of tiles become = 10 times Number of glass tiles Violet has

⇒ number of tiles become = 10*30

⇒ number of tiles become = 300 tiles

Thus, Violet will need to use 300 tiles for tabletop.

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Answer:

D

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

Answer:

it's Zac Efron for sure, Leonardo DiCaprio is just not the same...

Answer:

3

Step-by-step explanation:

1. a2

2. b

3. cd3

Answer:

So lets make a ratio. 2:1 for the choclate to milk ratio. And so we know every 2 choclate scoops, for 1 milk, the choclate would be stronger. But in the second alternative which is 3:2, the choclate favor would be way less. Either way the original ratio (2:1) have to be less than the second one or the second ratio has to be greater than or equal to another like in this case 2:1 and 3:2, the 3:2 is less than the original which shows that the choclate flavor is less. final fraction for comparison would be 4/2 and 3/2. The original has to be less than the second one in order for the flavor to be stronger or the second one has to be greater than the original or equal.

Step-by-step explanation:

an = 3* (sqrt 2)^(n-1)   = 192    solve for n

           sqrt(2)^(n-1) = 64

                  n-1 =  log 64 / log (sqrt 2) = 12

                 n = 13  

Answer:

To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:

Step 1: Distribute the negative sign on the left side of the equation:

-(x + 3) = 2(x - 3)

=> -x - 3 = 2(x - 3) (using the distributive property)

Step 2: Expand the right side of the equation:

-x - 3 = 2x - 6

Step 3: Add x to both sides of the equation to isolate the x term on one side:

-x + x - 3 = 2x + x - 6

=> -3 = 3x - 6

Step 4: Add 6 to both sides of the equation:

-3 + 6 = 3x - 6 + 6

=> 3 = 3x

Step 5: Divide both sides of the equation by 3 to solve for x:

3/3 = 3x/3

=> 1 = x

So, the correct value of x that makes the equation true is B. 1.

PLEASE MARK BRAILYISTT :D

Answer:

B, one

Step-by-step explanation:

In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.

Answer:

Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.

Answer:

1) x = 3

2) x = 9

3) x = 30

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

A, C

B, A

C, C

Step-by-step explanation:

A, take 33-9 then you get 24, divide 24 by 8 and get 3

B,  re-wright X/3 to X over 3, then subtract 5 from 8, you're left with 3, now find what X has to equal to make 3, X=9

C, same concept as the last one

Answer:

To find the first four terms of the series, we can substitute the values of n from 1 to 4 in the given formula and simplify:

n=1: -4(2/3)^0 = -4(1) = -4

n=2: -4(2/3)^1 = -4(2/3) = -8/3

n=3: -4(2/3)^2 = -4(4/9) = -16/9

n=4: -4(2/3)^3 = -4(8/27) = -32/27

So the first four terms of the series are -4, -8/3, -16/9, -32/27.

To determine if the series converges or diverges, we need to find the common ratio r, which is the ratio of any term to its preceding term:

r = (-4(2/3)^n) / (-4(2/3)^(n-1)) = 2/3

Since the absolute value of the common ratio is less than 1, the series converges.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio. Substituting the values we found:

S = -4 / (1 - 2/3) = -4 / (1/3) = -12

So the sum of the infinite geometric series is -12.

Answer:

a)  The first four terms of the series are:

    -4, -8/3, -16/9, -32/27

b)  The series converges.

c)  The sum of the infinite geometric series is -12.

Step-by-step explanation:

Given infinite geometric series:

\(\displaystyle \sum^{\infty}_{n=1} -4 \left(\dfrac{2}{3}\right)^{n-1}\)

Therefore, the formula for the nth term of the sequence is:

\(a_n=-4 \left(\dfrac{2}{3}\right)^{n-1}\)

where:

Calculate the first four terms of the series by substituting the n-values 1 through 4 into the nth term formula.

\(a_1 = -4 \left(\dfrac{2}{3}\right)^{1-1} = -4 \left(\dfrac{2}{3}\right)^{0}=-4\)

\(a_2 = -4 \left(\dfrac{2}{3}\right)^{2-1}= -4 \left(\dfrac{2}{3}\right)^{1}=-\dfrac{8}{3}\)

\(a_3 = -4 \left(\dfrac{2}{3}\right)^{3-1}= -4 \left(\dfrac{2}{3}\right)^{2}=-4 \left(\dfrac{4}{9}\right)=-\dfrac{16}{9}\)

\(a_4 = -4 \left(\dfrac{2}{3}\right)^{4-1}= -4 \left(\dfrac{2}{3}\right)^{3}= -4 \left(\dfrac{8}{27}\right)=-\dfrac{32}{27}\)

A geometric series converges if the absolute value of its common ratio is less than 1. As r = 2/3 and |2/3| < 1, the series converges.

Use the infinite geometric series sum formula to find sum of the infinite series.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\;\;for\;$|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Substitute a = -4 and r = 2/3 into the formula to find the sum of the infinite series:

\(\begin{aligned}\implies S_{\infty}&=\dfrac{-4}{1-\frac{2}{3}}\\\\ &=\dfrac{-4}{\frac{1}{3}}\\\\&=-4 \cdot \dfrac{3}{1}\\\\&=-\dfrac{12}{1}\\\\&=-12\end{aligned}\)

Therefore, the sum of the given infinite geometric series is -12.

Answer:  36 is a multiple of 12

2 is a prime number.

2 is a factor of 64

Step-by-step explanation:

12 × 3 =36, so 12 is one of the factors.

2 is the only even prime number. All other even numbers are multiples of 2.

9 is not a prime number. 3 × 3 = 9

2 is a factor of 64.  2 × 32 = 64  None of the other numbers given can divide evenly into 64, so they are not factors of 64.

Answer:36 is a multiple of 12

Step-by-step explanation: