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Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

Empirical rule solution

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

Calculator solution

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

Answer:

The correct solution graph is Graph B. The solution to the system is (-4.4, -4.7)

Step-by-step explanation:

I graphed this system on a separate graph shown below to find the solution of the system.

Answer: The answer is the last one. Hope this helps!

Answer:

Elementary students should be token off

If its not right please do not report.

Answer:

20..... 1/10

Step-by-step explanation:4x5 equals twenty

2/20 divided by 2 is 1/10

Answer:

Is there multiple choice?

Step-by-step explanation:

Answer:

50+1.99*v=3.99*v= 13 visits

Step-by-step explanation:

The first gym has 50 subrsiption but one visit cost 1.99 while the other cost 3.99 per visit with 13 visits it cost around the same as the 51.99

Answer:

As radius is perpendicular to tanget ,

BC is perpendicular to AB

By pythagoras theorem:

x² = (9 + x)² - 15²

x² = 81 + 18x + x² - 225

18x = 225 - 18

x = 207/18 = 11.5

Answer:

55.4 m^3

Step-by-step explanation:

The volume of a pyramid of base area A and height h is V = (1/3)(A)(h).

Here, V = (1/3)(16.6 m)^2 * 10.1 m  = 55.4 m^3

Answer:

55.4 m^3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since the figures have equal perimeters we can equate them, thus

4(2p - 4) = 4p + 36 ← distribute left side

8p - 16 = 4p + 36 ( subtract 4p from both sides )

4p - 16 = 36 ( add 16 to both sides )

4p = 52 ( divide both sides by 4 )

p = 13

Substitute p = 13 into either of the 2 expressions, then

4p + 36 = 4(13) + 36 = 52 + 38 = 88 → C

The value of perimeter is found as 88 units. The correct option is (C).

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

As per the question the perimeters are equal.

The following equation can be written as,

4(2p - 4) = 4p + 36

⇒ 8p - 16 = 4p + 36

⇒ 4p = 52

⇒ p = 13

Thus, the perimeter value can be obtained by substituting p = 13 in 4p + 36 as below,

⇒ 4 × 13 + 36 = 88

Hence, the perimeter value is 88 units.

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Answer:

424

Step-by-step explanation:

pie r squared is area of a circle

21(squared)x3.14=1385

minus this from 24squaredx3.14 =1809

1385-1809=424

The area of the sidewalk is 226.08 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The space enclosed by the boundary of a plane figure is called its area.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Area is measured in square units like cm² and m².

Given that, a circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 3 m wide. We need to find the area of the sidewalk.

To find the same, we will subtract the area of the inner circular region from  the outer circular region,

The radius of the outer circular region = 21/2+3 = 10.5+3 = 13.5 m

The area of the sidewalk = πR²-πr², where R = radius of outer region and r = radius of inner region

= 3.14(13.5²-10.5²)

= 3.14 x 72

= 226.08 m²

Hence, the area of the sidewalk is 226.08 m²

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We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars.  A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.

First of all, we will find the z-score corresponding to sample score 2410.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]z=\frac{2410-2500}{200}[/tex]

[tex]z=\frac{-90}{200}[/tex]

[tex]z=-0.45[/tex]

Now we need to find area under normal curve that is greater than z-score of [tex]-0.45[/tex] that is [tex]P(z>-0.45)[/tex].

Using formula [tex]P(z>a)=1-P(z<a)[/tex], we will get:

[tex]P(z>-0.45)=1-P(z<-0.45)[/tex]

Now we will find area under curve using normal distribution table.

[tex]P(z>-0.45)=1-0.32636[/tex]

[tex]P(z>-0.45)=0.67364[/tex]

Upon rounding to 4 decimal places, we will get:

[tex]P(z>-0.45)\approx 0.6736[/tex]

Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.

Answer:

0.6736

Step-by-step explanation:

khan academy

Answer: DNA technology in agriculture has been used to create Genetically Modified Organism. The plants can be modified to be resistant to drought and diseases/pests and have increased yield

DNA technology mainly involves the manipulation of the genome of an organism. Usually a foreign DNA is inserted in the genome of another organism to impart it with desired characteristics or remove undesired ones.

Answer:

DNA technology in agriculture has been used to create Genetically Modified Organism

Step-by-step explanation:

Answer:

Your Answer Is C!

Step-by-step explanation:

I hope this helps!

Brainliest!

Answer:

D , H, A, I

Step-by-step explanation:

These are approximates, don't take this to heart.

Answer:

14.14 ft

Step-by-step explanation:

In an isosceles triangle, the altitude and median is same. So the height divides the base AB equally such that AD = DB = 10, if the height is CD. So using Pythagoras theorem, we can find the hypotenuse AC in triangle ADC.

h² = b² + a²

AC² = AD² + CD²

AC² = 10² + 10²

AC² = 100 + 100

AC² = 200

AC = √200

AC ≈ 14.14 ft

Hope this answer helps you!!

Please mark me as the brainliest!!

Answer:

x = 126/999

Step-by-step explanation:

Let x = .126126126 repeating

Multiply each side by 1000

1000x = 126.126126126 repeating

subtract the first equation from the second

1000x = 126.126126126 repeating

- x = .126126126 repeating

999x = 126

Divide each side by 999

999x/999 = 126/999

x = 126/999

Answer: if π were 3.14, than it would cost about 5223.96

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

For each line it represents 25% so half of the data is on the opposite side of 60.

Answer:they saw things they never saw before

Step-by-step explanation:

Answer:

x = 1 + i, x = 1 - i

Step-by-step explanation:

Make the second equation y = 3x - 1

Substitute: 3x - 1 = 1/2x^2 + 2x

Simplify: 6x - 2 = x^2 + 4x

x^2 + 4x + 2 = 6x

x^2 - 2x + 2 = 0

Complete the square: x^2 - 2x + 1 = - 1

(x - 1)^2 = -1

x - 1 = ± √-1

Take out the negative: x - 1 = ± i

x = 1 + i, x = 1 - i

i is for imaginary number

Answer: (0,-1) and (2,5) for the answers.

Step-by-step explanation:

Can someone please answer my question from my profile please thank you

Answer: 36% or 9/25

Step-by-step explanation:

P(pick a girl) = 18/30 = 3/5 = 0.6

P(pick a girl 2 days in a row) = (0.6)^2 = 0.36

THEORETICAL probability is the predicted ratio of favorable outcomes to the total number of outcomes.

Answer:

345:675=243$

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

Answer:

4. 3x=18

Step-by-step explanation:

To find the answer you do 18/3=X, then all you do is turn that division problem into a multiplication problem and get 3x=18

Answer:

3x = 18 (4)

Step-by-step explanation:

If she has a total of 18 apples, and she wants to give her neighbors three apples each, you would have to divide 18 by 3 to find how many neighbors she can give them to.

18 divided by 3 = x

x = 6

Answer:

P+4=28, meaning that the original perimeter was 24

Step-by-step explanation:

Let's call the perimeter P.

Converting the words into an equation, you get:

P+4=28

Now, you can subtract 4 from both sides:

P+4-4=28-4

P=24

Hope this helps!

Answer:

-5

Step-by-step explanation:

Shown in the attachment.

The remainder when 3x^2 +5x -3 is divided by 3x+2 is -5

Answer:

if this is for edg is a

Step-by-step explanation: