When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard deviation of 3 seconds. What is the probability that in a given race, his finishing time will be faster than 75 seconds, to the nearest thousandth?

Answers

Answer 1

Answer:

0.749

Step-by-step explanation:

We start by calculating the z-score

Mathematically:

z-score = (x-mean)/SD

z-score = (75-77)/3 = -2/3 = -0.67

The probability we want to calculate is;

P( X > -0.67)

we can use the standard normal distribution table for this

Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth


Related Questions

What is the quotient? -3/8 divided by -1/4

Answers

-3/8= -0.375
-0.375/-.25 = 1.5
Answer: 1.5
Answer is 1.5 because it is b

Give your answer to the nearest tenth.

Answer Choices:

44


44.5


45


45.5

Answers

9514 1404 393

Answer:

  x = 44.5

Step-by-step explanation:

The angles defined by x will be supplementary when the lines m and n are parallel.

  (x +4) +(3x -2) = 180

  4x +2 = 180

  4x = 178

  x = 44.5 . . . . will make m and n parallel

A digital thermometer costs $599.99. The company offers a $200 rebate. What percent of the cost is
the rebate?

Answers

Answer:

33.33%

Step-by-step explanation:

600/3 is 200 which means 1/3 of it is rebated

A florist delivers flowers to anywhere in town. D is the distance from the delivery address to the florist shop in miles. The cost to deliver flowers, based on the distance d, is given by C(d) = 0.04d^3 - 0.65d^2 + 3.5d + 9. Evaluate C(d) for d = 6 and d = 11, and describe what the values of the function represent

Answers

A. C (6) = 15.24; C 11 = 22.09.

C (6) represents the cost, $15.24, of delivering flowers to a destination that is 6 miles

from the shop.

C (11) represents the cost, $22.09, of delivering flowers to a destination that is 11 miles

from the shop.

b.

Answer:

The distance between the library and the florist’s shop is the length of CD . The endpoints of this line segment are C(3, 4) and D(3, -3). Because the x-coordinates of both points are the same (3), the length of CD can be found by subtracting the smaller y-coordinate from the greater y-coordinate: CD = 4 – (-3) = 4 + 3 = 7 units. The distance between the library and the florist’s shop is 7 blocks.

Step-by-step explanation:

2/3 / (-9/4)

2/3 divided by (-9/4)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{2}{3} \div ( - \frac{9}{4} ) = \\ [/tex]

[tex] \frac{2}{3} \times( - \frac{4}{9}) = \\ [/tex]

[tex] - \frac{2 \times 4}{3 \times 9} = - \frac{8}{27} = - ({ \frac{2}{3} })^{3} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure
of each angle.

Answers

9514 1404 393

Answer:

  angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

Given:

  ΔWZY

  ∠W = 2(∠Y) -5°

  ∠X = ∠Y +21°

Find:

  ∠X, ∠Y, ∠W

Solution:

Using angle measures in degrees, we have ...

  ∠X + ∠Y + ∠Z = 180

  (∠Y +21) +∠Y + (2(∠Y) -5) = 180

  4(∠Y) +16 = 180 . . . . . simplify

  ∠Y +4 = 45 . . . . . . . . . divide by 4

  ∠Y = 41 . . . . . . . . . . . . subtract 4

  ∠W = 2(41) -5 = 77

  ∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

Trent rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns y for every yard x. What is the constant of proportionality?

Answers

Answer:

The constant of proportionality is 10

Can you tell me the answer plsssss​

Answers

Answer:

19. 36 hours

20. 9 months

Step-by-step explanation:

To find these answers you would simply devide what is made by the goal. In #19 it would be 8/288÷36h

For #20 it would be 15÷135=9

Hopefully this helps.

The ratio of fiction to non-fiction books at school library is 3 to 5. If there are 240 books in the library how many non-fiction books are in the library?

Answers

Answer:

150

Step-by-step explanation:

The ratio is 3:5, so you can make this equation:

[tex]3x+5x=240[/tex], because for any integer x, the ratio will stay the same.

solve that:

[tex]3x+5x=240\\8x=240\\x=30[/tex]

We're not down yet!

we need to find 5x, not x.

[tex]5*30=150[/tex]

There are 150 non-fiction books in the library.

check!

150+90=240

The are 150 non-fiction books are in the library.

What is ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The ratio of fiction to non-fiction books at school library is 3 to 5.

Total books = 240

So, the number of non fiction books

= 240 x 5/8

= 30 x5

= 150

Hence, there are 150 non fiction book.

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I NEED HELP ASAP FOR BRAINLIEST

Answers

Answer:

y=x+4

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope of the line and b is the y-intercept

slope: 1

y-intercept: 4

hopefully this helps :)

Answer:

y=x+4

Step-by-step explanation:

y=mx+b

m-is the slope and b-is the y-intercept

(x, y) = (0,4)

4=0+b so b =4

substitute in the equation

y=x+4

Can someone solve all these answers for this polynomials worksheet?

Answers

Answer:

2. 4

3. 5

4. 8

5. 9

6. 1

7. 6

8. 5

9. 7

10. 2

Step-by-step explanation:

Count the number of terms for each.  Alternately, count the number of "+" and "-", and add 1.

The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager buys some boxes of baseballs with 12 baseballs to a box and an equal number of boxes of tennis balls with 16 tennis balls to a box. Write an expression to represent the total number of balls. PLEASE PLEASE HELP I NEED IT DONE TONIGHTTT

Answers

Answer:

u want full equation?

Step-by-step explanation:

Answer

baseballs:14+12n

tennies balls: 23+16n

14+12n+23+16n

14+23+12n+16n

(14+23)+(12n+16n)=37+28n

(n= the number of boxes of each type)

Step 1: We write expressions for the total number of baseballs and tennis balls

Step 2: We find an expression fr the total number of balls:

We combine the above expressions:

We use the Commutative Property:

We combine like terms:

( the answer is 37+28n)

Topic: Integrals
Subject: Calculus

If anyone could help I’d appreciate! I will certainly award points and give brainliest answer ASAP!! I promise :)

Answers

9514 1404 393

Answer:

  11 7/16

Step-by-step explanation:

The integration resolves into finding the area of two triangles. The left has a height of (-3/8(-2/3)+2) = 2 1/4, and a width of (16/3-(-2/3)) = 6. Then its area is ...

  A = (1/2)bh = (1/2)(6)(2 1/4) = 6 3/4

__

The right triangle has a height of |(-3/8)(31/3) +2| = |-31/8+16/8| = 15/8. Its width is (31/3) -(16/3) = 5, so its area is ...

  A = (1/2)(5)(15/8) = 75/16 = 4 11/16

Then the total area, the value of the integral, is ...

  6 3/4 +4 11/16 = 10 23/16 = 11 7/16 . . . the value of the integral

How long does it take the penguin to walk 45 feet?

Answers

You have not mentioned any imformation such as speed of the penguin

Find the 87th term of the arithmetic sequence 12, 0, -12,

Answers

Answer:

- 1020

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = a₂ - a₁ = 0 - 12 = - 12 , thus

a₈₇ = 12 + (86 × - 12) = 12 - 1032 = - 1020

Answer:

-1008

Step-by-step explanation:

Help me out real fast

Answers

The answer is the first one, most typical periscopes include mirrors to reflect the light so you can see the image.

The high temperature on monday was -14 degrees. On Tuesday the high temperature was 24 degrees. Which integer represents the difference in high temperature on these 2 days?

Answers

The difference between the high temperatures on Monday & Tuesday is 38.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The integer that represents the difference in high temperature from Monday to Tuesday is 38.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The high temperature on Monday was -14 degrees.

On Tuesday the high temperature was 24 degrees.

The temperature difference between Monday and Tuesday.

= Temperature on Tuesday - Temperature on Monday

= 24 - (-14)

= 24 + 14

= 38

Thus,

The integer that represents the difference in high temperature from Monday to Tuesday is 38.

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The number of necklaces Lilly can make varies directly with the amount of time she spends making the necklaces. She can make 6 necklaces in ⅖ hour. How many necklaces can Lilly make in 5 hours?

Answers

Answer:

75

Step-by-step explanation:

Number of necklace= k × amount of time spent

6= k × 2/5

K = 6÷2/5

K= 6×5/2

K= 15

Therefore the number of necklace made in 5 hours can be calculated as follows

15 = number of necklace ÷ 5

Number of necklace = 15 ×5

Number of necklace = 75

Answer:

75

Step-by-step explanation:

No kema  cuh

A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8

Answers

Answer:

A

Step-by-step explanation:

The number of five-digit flippy numbers are divisible by 15 is;

Option B; 4 Numbers

We want 5 digit flippy numbers that are divisible by 15.

For a number to be divisible 15, it has to be divisible by 3 and 5.

Also, for a number to be divisible by 5, it's last digit has to be 0 or 5.

Since it is a flippy digit and 0 cannot start it as it is a five digit number, then the first and last digits must be 5. Also, the center digit must be 0 or 5 to fulfill both conditions.

Thus, the format of the number should be;

       5N5N5

For it to be divisible by 3, since 5 + 5 + 5 = 15 is divisible by 3, the N + N can be equal to 0, 6, 12, or 18 since N is identical.

Thus, possible numbers are; 50505, 53535, 56565, 59595.

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Choose the best correct name for the set of numbers (...,-3-2-10,1,2,3,...) Integer real numbers natural number whole numbesr rational numbers irrational numbers

Answers

Answer:

the answer should be real numbers, rational numbers, and integers

Step-by-step explanation:

Rational numbers are numbers that can be written in the form of a/b where a and b are integers. The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers.

What is a rational number?

Rational numbers are numbers that can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.

The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers. Since integers are in the category of rational numbers, while rational numbers are in the category of real numbers.

Therefore, The correct name for the set of numbers (...,-3-2-10,1,2,3,...) can be either integer, rational numbers, or real numbers. But since rational numbers and real numbers are too wide, thus, the best answer choice will be integers.

Hence, The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers.

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Can someone please help me with this? It’s the last problem I need to turn in a test, I will mark brainliest :(

Answers

Answer:

33b - 8

Step-by-step explanation:

You solve for the perimeter like you would for any other shape by adding all the sides

The perimeter is side A + side B + side C.

so it's 9b+8 + 12b-8 + 12b-8

Add all the like terms

9b + 12 b + 12b = 33b

8 - 8 - 8= -8

= 33b -8

I think it’s b or c but not sure what it is 100 percent. The options are in the picture there is 4 and it asks which it can not be

Answers

9514 1404 393

Answer:

  d.  tan(16°) = x/6

Step-by-step explanation:

You can use logic to figure this out, even if you don't know much trigonometry.

Choices A and D are contradictory. One of them must be consistent with choice C. Choices C and D are also contradictory, so choices A and C must be in agreement and part of the set of statements that CAN be used.

Choice D is the statement that CANNOT be used to find x.

On average angel drinks 1/8 of a 12-ounce glass of water in 1/5 of an hour. How many glasses of water does he drink in one hour.

Answers

Answer:3/4 of a 6-ounce glass will be drunk by her in one hour.

Step-by-step explanation:

i did it and got it right

Please look at the photo and solve please I need help

Answers

Answer:

B

Step-by-step explanation:

The unit rate changes throughout the table.

Please help I will give brainliest to whomever's answer is correct

Answers

Answer:

i think its the last one

Step-by-step explanation:

it seems like the smart thing ti pick

2(x2 + 6) – 3 vy when x = 3 and y = 64.

Answers

Answer:

73

Step-by-step explanation:

you would do distributive property we know x= 3 so on the inside would be 32 now since we are doing distributive property you multiply 32x2 and 6x2

then you add them together and after you subtract 3 from 76 which = 73


In RST, if m than seven times x, find x and the measure of each angle.

Answers

Answer:

RST

Step-by-step explanation:

Kate stands 2 meters from a lamppost. She is 2.1 meters tall and casts a shadow 3 meters long in the light from the lamp. How tall is the lamppost? See diagram below.​

Answers

Answer:

3.5 meters.

Step-by-step explanation:

Please refer to the attachment.

Since the two triangles share two congruent angles, by AA Similarity, the two triangles are similar.

Therefore, we can write the following proportion:

[tex]\frac{3}{5}=\frac{2.1}{x}[/tex]

To find the height of the lamppost x, we will simply have to solve for x.

So, let’s cross-multiply:

[tex]10.5=3x[/tex]

Divide both sides by 3:

[tex]x=10.5/3=3.5[/tex]

Hence, the height of the lamppost is 3.5 meters.

The Corner Market will sell 3 papayas for $3.75.

The unit rate is

The slope of the line that best represents the cost of papayas is

The unit rate and the slope of the line represent the

Answers

Answer:

The cost of papayas each is 1.25

Step-by-step explanation:

Hope this helped

HELP URGENT‼️‼️

Tia needs 3/4 a cup of orange
juice for every 1/4 cup
of
water. How many cups of
orange juice does she need if
she uses 1 cup of water?

Answers

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

Answer:3

Step-by-step explanation:

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