The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 85 inches, and a standard deviation of 14 inches. What is the likelihood that the mean annual precipitation during 49 randomly picked years will be less than 87.8 inches?

Answers

Answer 1

Answer:

Probability of choosing number = 0.9192

Step-by-step explanation:

Given:

New mean = 87.8

Mean = 85

Standard deviation = 14

Number picked = 49

Find:

Probability of choosing number

Computation:

Probability of choosing number = [New mean - Mean] / [Standard deviation / √Number picked]

Probability of choosing number <= [(87.8-85)]/[(14/7)]

Probability of choosing number = 0.9192


Related Questions

How does number 3 work, I don’t understand how it end up being x+8

Answers

The answer is -5 = x.     Because if x + 8 is 3 you would have to subtract 5 making the answer to X  negative 5 + 8.

Question 10+
10. If T is the midpoint of SU, find .r.
8x + 1)
121 - 1
S
T

Answers

Answer:5.7

Step-by-step explanation:

Find the scale factor

Answers

Answer:

Scale factor: 2

Step-by-step explanation:

If you observe the side lengths of the larger shape, you'll notice that they are double the size of the original shape. Meaning, you have to multiply the smaller shape's side lengths by 2 to get the side lengths of the bigger shape.

So, the scale factor is 2.

Which term is equivalent to the expression

Answers

Answer:

D

Step-by-step explanation:

4x(2x-3)

multiply everything in parentheses by 4x

8x^2-12x

The correct answer to this question is d good luck

Jeff and I went to the store and spent $57.02 on snacks for our trip. We are going to split the bill so we each contribute the same amount how much will each of us pay?

Answers

You would divide 57.02 by 2. So each of you will pay $28.51

A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount of vinegar. How much of each ingredient is needed in order to make 14 oz of furniture​ polish?

Answers

Answer:

Oil: 10.5 oz Vinegar: 3.5 oz

Step-by-step explanation:

If the amount of vinegar is the variable x than the amount of oil is 3x. this means that x+3x=14 or 4x=14. Which means x=3.5 so vinegar is 3.5 while oil is three times that or 10.5.

The GCF of 36 and 63 is

Answers

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

The GCF is the greatest common factor. A factor is a number being multiplied.

36 can be multiplied by 1,2,3,4,6,9,12,18,and 36, of course.

63 can be multiplied by 1,3,7,9,21, and 63.

We are looking for the largest number that 36 and 63 have in common.

It's not 1 or 3. The only other number they have in common is 9.

Hope it helps!

what is 1/120 as a decimal

Answers

Answer:0.0083

Step-by-step explanation:

0.0083 is 1/120 as a decimal.

A decimal is a number that contain of a whole and a fractional part. Decimal numbers lie in the middle of integers and represent numerical value for quantities that are whole plus some part of a whole.

We get decimals when we smash a whole into smaller parts.

A decimal number then has two components: a whole number part and a fractional part. The decimal place value system for the whole part of a decimal number is the alike the whole number value system.

However, we obtain the fractional part of the decimal number as we move toward the right after the decimal point.

1/ 120 = 0.0083.

Therefore,  0.0083 is 1/120 as a decimal.

Learn more about decimal here:

https://brainly.com/question/29018620

#SPJ2

(01.07) Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the corr O Divide both sides by 6 and then add 3. The solution is x = 5. Add 6 to both sides of the equation and then divide by 3. The solution is x = 9. O Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 8. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 5.​

Answers

Answer:

Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 5.​

Step-by-step explanation:

WHAT IS 123464
× 12?​

Answers

Answer:

1,481,568

Step-by-step explanation:

who's making you do this lol

solve the equation -37 = x - 17​

Answers

Answer:

x=-20

Step-by-step explanation:

add 17 to both sides

-37 + 17 =-20

Answer:

x=-20

Step-by-step explanation:

-37=x-17

move the terms.

-x=-17+37

Calculate.

-x=20

Change the signs.

There ya go your answer is -20.

Hope that helped.

Evaluate 3 x 5 + 7 x 4

Answers

Answer:

43

Step-by-step explanation:

Multiplication first:

15+28

43

Answer:

43

Step-by-step explanation:

What is the answer to 36/(9-4)??

Answers

Answer:

36/(9-4)=7.2

Step-by-step explanation:

You first have to subtract 4 from 9, because it is in the parentheses. The answer is 5, so you have 36/5, which equals 7.2

Answer:

36/5

Step-by-step explanation:

[tex]\frac{36}{9-4}\\\\[/tex]

Subtract the numbers

[tex]9-4=5\\\\=\frac{36}{5}[/tex]

Please help!! Thanks

Answers

Answer: quisiera ayudarte pero no tengo los medios ni la cabaza para follarte

Step-by-step explanation:

Answer:

y = 3x -2

Step-by-step explanation:

1. Find y- intercept (line passes through -2 on y-axis)

2. Find slope:

Use Coordinates (1,1) and (0,-2) and plug into slope formula[tex]\frac{-2-1}{0-1}[/tex] which equals [tex]\frac{-3}{-1}[/tex] Simplify to 3

3. Plug numbers into equition y = mx+b

m = slopeb = y intercept

4. Final Answer y = 3x-2

When š = [9,-4], what is -65?
o[-54,24]
o[3, -10]
o[9, 24]
o[-27, 12]

Answers

I think a or d is the answer sorry for not giving you the answer

Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly. They get 27 cm, 35 cm, 32 cm, respectively. Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?

Answers

Answer:

47 cm.

Step-by-step explanation:

Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.

They get  27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm

find:

Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?

solution:

27, 35, and 32 are each the sum of a different pair of sides of the triangle

Then 27 + 35 + 32 is the sum of all three sides, each counted twice.

Thus, 27 + 35 + 32 = 94 is twice  the perimeter

therefore,

the perimeter of the triangle is 94/2 = 47 cm.

Step-by-step explanation:

since the sides r of 2 triangles

actually perimeter = ans/ 2

perimeter of a triangle = sum of all sides/2

27+35+32/2 =94/ 2 = 47 ans

hoep.it helps

plz mark as brainliest

Round 75,793,431 to the nearest hundred thousand​

Answers

Answer:

75,793,000

Step-by-step explanation:

8w + 12 = -12
Helppppp

Answers

Answer:

w = -3

Step-by-step explanation:

Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it. (2, 4) (2, 1) (6, 12) (4, -5) (-2, 4) (2, -4) (6, -12) (-4, 5) Quadrilateral ABCD is reflected over the x-axis. Quadrilateral ABCD is translated 2 units right and 1 unit down. Quadrilateral ABCD is dilated by a scale factor of 3. Quadrilateral ABCD is rotated 180° clockwise about the origin.

Answers

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at  A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by  factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Answer:

the coordinates of point A is at (2, -4).

Step-by-step explanation:

 Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.If a point A(x, y) is reflected over the x axis, the new point is at  A'(x, -y)If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)If a point A(x, y) is dilated by  factor of a, the new location is at A'(ax, ay)If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)Hence:For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Solve the exponential equation: 32 – x = 1

Answers

Answer:

31

Step-by-step explanation:

32 - x = 1, so we do this. 32 - 1 = x. So we get 31.

Answer:

31

Step-by-step explanation:

32 - x = 1

To find x you need to subtract 1 from 32

The answer is 31.

If you subtract 31 from 32 the answer becomes 1.

HOPE IT HELPED

You have $80 and your sister has $150. You are saving $7 per week and your sister is saving $4 per week. How long will it be before you and your sister have the same amount of money?

Write an equation and solve.

Answers

Answer:

4 weeks later

Step-by-step explanation:

12. A soccer field has a length of 90 meters
and a width of 45 meters. What is the
o total area of the soccer field?
45 m2
Dube
90 m

Answers

Answer: 4,050 metres squared.

Step-by-step explanation:

Area = length x width

Area of soccer field = 45 x 90

                                 = 4,050

Answer:

4050 m^2

Step-by-step explanation:

A =(L ×w) ^2

A =(90 ×45) ^2

A=4050 m^2

Euler has 3/4 of a packet of cookies. He eats 1/2 of them and has 6 cookies left. How many were in
the packet originally?

Answers

So 1/2 of 3/4 is 3/8 which is equal to 6 cookies ( or 3/8 of a packet has 6 cookies)
So if we say a packet of cookies = X
and we know 8/8 of a packet of cookies = 1 full packet of cookies
( 8/8 of a packet or 1 full packet has X cookies )
Then 3/8 divided by 8/8 = 6/X
3/8 = 6/X
X = 6 divided by 3/8
X = 16
So there should be 16 cookies in a full packet

A candy store sells chocolate for $7.91 per pound. The piece you want to buy is .17 lbs. how much will it cost

Answers

Answer:

$1.34

Step-by-step explanation:

Simply multiply 7.91 by .17

7.91 times .17=1.3447

Round the the nearest hundredth

$1.34

Hope this helps! Plz award Brainliest : )

Use the Pythagorean’s theorem to calculate the length of the hypotenuse of a right triangle with 17 as the length and 15 as the width

Answers

Answer:

[tex]\huge\boxed{\text{Around\ \ } 23}[/tex]

Step-by-step explanation:

The Pythagorean Theorem states that

[tex]a^2 + b^2 = c^2[/tex]

Where [tex]a[/tex] is one leg of the triangle, [tex]b[/tex] is the other, and [tex]c[/tex] is the hypotenuse.

Since we know the legs and we need to find the hypotenuse [tex]c[/tex], we can substitute inside the equation with the values 15 and 17.

[tex]15^2 + 17^2 = c^2\\\\225+289 = c^2\\\\514 = c^2\\\\c = \sqrt{514}\\\\c \approx 23[/tex]

Hope this helped!

Answer:

Hypotenuse = 22.67

Step-by-step explanation:

[tex]a^2 + b^2 = c ^2\\[/tex]

a = One Leg

b = Another Leg

c = Hypotenuse

[tex]17^{2} + 15^{2} = c^2[/tex]

289 + 225 = [tex]c^2[/tex]

514 = [tex]c^2[/tex]

[tex]\sqrt{514} = c[/tex]

c = 22.67

The number 10 is 5 times as many as 2. Write this comparison as a multoplication equation

Answers

It can be written in multiple way but 5x2=10 is one way to write it.

Mrs bell has 256 ounce bag of potting soil.what is the greatest number of 6 ounce pot

Answers

Answer:

42

Step-by-step explanation:

I’m not sure what you are trying to ask, but if it is “how much soil can fit into X amount of pots the answer would be 43, 42 full with a 1 partial pot

If Molly has 9 1/2 cups of flour. This is 3/4 of the number she needs to make bread, how many cups does she need?

Answers

to find the answer, simply set up a proportion. in this case, it would be 3/4 over 1 is equal to 9 1/2 over x. to solve, multiply 9 1/2 and 1, giving you 9 1/2. in the next step, divide 9 1/2 by 3/4, giving you a final answer of 12 2/3.

Molly needs a total of 12 2/3 cups of flour!
Answer
She needs 2 3/8 more cups of flour for the bread recipe

Evaluate 9 - 3 * 2 + 4.

Answers

Answer:

7

Step-by-step explanation:

9 - 3 * 2 + 4

9-6+4

3+4

7

Answer:

7 is the answer

Step-by-step explanation:

plz mark as brainliest

Ms. Badger has 3/4 pound of oatmeal. She uses 2/3 of the oatmeal to bake muffins. How much oatmeal does Ms. Badger have left?

Answers

Answer: 1/12

Step-by-step explanation:

3/4-2/3 = 9/12-8/12 = 1/12

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