Suppose that the weight, X, in pounds, of a 40-year-old man is a normal random variable with mean 147 and standard deviation 16. Calculate P(120≤X≤153).

Answers

Answer 1

Answer:

0.6004

Step-by-step explanation:


Related Questions

Use the information to estimate the number of swimmers on the team.
A swim team is divided into age groups: Guppies Stingrays and Sharks. There are 20 swimmers in
the Stingray group. If we randomly select 10 swimmers and 4 are Stingrays. How many swimmers can
we estimate are on the team?
We can estimate that there are___Swimmers on the team


Need help

Answers

Answer:

50 Swimmers

Step-by-step explanation:

If 4/10 swimmers are stingrays, that means that roughly 40% of the swimmers are stingrays. If there are 20 Stingrays and that is 40% of 100% swimmers it means that stingrays make up 2/5 of the swim team members. You can use this equation to cross multiply:

20/x = 40/100

20/x = 4/10

20/x = 2/5

x = 50.

This shows that there are 50 people on the team.

John paid $100 for renting a canoe for 5 hours. Which graph shows the relationship between the cost of renting a canoe for different hours?

A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,100 and 2,100 and 3,100.
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,20 and 2,40 and 3,60
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,10 and 2,20 and 3,30.
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,40 and 2,80 and 3,120.

Answers

Answer:

The answer is B.

Step-by-step explanation:

You would pay about $20 each hour

Answer:

The answer is B)

Step-by-step explanation:

A shepkeeper bought a bottle of cooking oil at $ 4.54 He then sold it for $7.49. inclusive of GST. The GST of 7% of the selling pnce is to be paid to the government.
(A) Find the GST he had to pay (B) Find the profit in selling one bottle of cooking oil.​

Answers

Answer:

GST = $0.32

PROFIT = $2.63

Step-by-step explanation:

GST = 7% of $4.54 = 0.32

Profit = 7.49 - ( 4.54 + 0.32)

= 7.49 - 4.86

= 2.63

-x^2+2x-5^3-4x+5 in standard form

Answers

Answer:

[tex]x^{2}[/tex]-2x-120

Step-by-step explanation:

Answer:

-5x^3 - x^2 - 2x + 5

Step-by-step explanation:

Rewrite the given expression in descending powers of x:

-5x^3 - x^2 - 2x + 5

I need help asap lol

Answers

Answer:

13/38

Step-by-step explanation:

the number of kids who have 1 sibling is 13

the total is 38

13/38

HELP ASAP!!!!!
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer

Answers

Answer:

The height would be 9.1923 ft

c) Ali had x packets of nasi lemak and shared
them equally among 5 persons. Each
person received 3 packets.​

Answers

Answer:15

Step-by-step explanation:

If each person gets 3 packets and there are 5 people you take 5*3 and get 15

a) When 3 is subtracted from a
number, the result is 8.​

Answers

Answer:

11

Step-by-step explanation:

check:

3+8=11

11-3=8

The answer is 11 because 11 - 3=8

4t+ 3.5 = 2.25 solve the equation ​

Answers

Answer:

-0.3125

Step-by-step explanation:

Subtract 3.5 from both sides

4t = -1.25

Divide both sides by 4

t =. -0.3125

Answer:

1.3335

Step-by-step explanation:

Simplify the radical expression.

4 sqrt 625x^12y^8

Answers

Answer:

[tex]\sqrt[4]{625x^{12}y^8} = 5 {x^3} {y^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[4]{625x^{12}y^8}[/tex]

Required

Simplify

We start by splitting the roots

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{625}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex]

Express 625 as exponents

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{5^4}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex]

From laws of indices

[tex]\sqrt[n]{a^m} = a^{\frac{m}{n}}[/tex]

So,

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{5^4}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex] becomes

[tex]\sqrt[4]{625x^{12}y^8} = {5^\frac{4}{4}} * {x^\frac{12}{4}} * {y^\frac{8}{4}}[/tex]

[tex]\sqrt[4]{625x^{12}y^8} = 5 * {x^3} * {y^2}[/tex]

[tex]\sqrt[4]{625x^{12}y^8} = 5 {x^3} {y^2}[/tex]

need help please ! parallelogram

Answers

Answer:

11). m∠W = 70°

12). m∠M = 95°

13). m∠Q = 135°

14). m∠Q = 55°

15). m∠X = 110°

Step-by-step explanation:

11). m∠W + m∠X = 180° [Consecutive interior angles]

    (24x - 2) + (36x + 2) = 180°

     60x = 180°

     x = [tex]\frac{180}{60}[/tex]

     x = 3

     Therefore, m∠W = (24x - 2)°

     m∠W = (24×3 - 2)

               = 72 - 2

               = 70°

     Since opposite angles of a parallelogram are equal in measure.

     m∠Y = m∠W = 70°

12). m∠J + m∠K = 180° [Consecutive interior angles]

     (6x + 19) + (8x + 7) = 180°

     14x + 26 = 180

     14x = 180 - 26

     14x = 154

     x = [tex]\frac{154}{14}[/tex]

     x = 11

     m∠K = (8x + 7)

     m∠K = 8×11 + 7

     m∠K = 95°

     Since m∠M = m∠K

     Therefore, m∠M = 95°

13). m∠Q = m∠S [Opposite angles of a parallelogram]

      x + 135 = 2x + 135

      2x - x = 0

      x = 0

      Therefore, m∠Q = 135°

14). m∠Q = m∠S [Opposite angles of a parallelogram]

      14x - 1 = 13x + 3

      14x - 13x = 3 + 1

      x = 4

      m∠Q = (13x + 3)

                = 13×4 + 3

                = 52 + 3

      m∠Q = 55°

15). m∠Z = m∠X

     (19x - 4) = (17x + 8)

      19x - 17x = 12

      2x = 12

      x = 6

      m∠X = (17x + 8)°

      m∠X = 17×6 + 8

      m∠X = 110°

The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in3 = 0.00433 gal)


13 in.20 in.13 in.


The amount of water left is about


gallons.

Answers

This question is incomplete because it is not properly and correctly written.

Find attached to this answer a hand drawn sketch diagram of the Aquarium (rectangular prism) showing its dimensions.

Complete Question

The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in³ = 0.00433 gal)

The dimensions of the rectangular prism is given as:

Height = 13 in

Width = 13 in

Length= 20in

The amount of water left is about ____ gallons.

Answer:

The amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water

Step-by-step explanation:

Step 1

We are given a rectangular prism with the dimensions :

Height = 13 in

Width = 13 in

Length= 20 in

The first step would be to find the Volume of the Rectangular prism

Volume of the rectangular prism = Length × Width × Height

= 20in × 13in × 13in

= 3380 in³

From the question, we are given the hint that

1 in³ = 0.00433 gal

This means that 1 in³ of an object contains 0.00433 gallons of water.

Therefore, if

1 in³ = 0.00433 gal

3380 in³ =

Cross multiply

2880 in³ × 0.00433 gal

= 14.6354 gal

This means the Aquarium (rectangular prism) contains 14.6354 gallons of water.

Step 2

A spherical ball with the diameter of 8 inches was dropped into the aquarium.

We would find the volume of the spherical ball.

Volume of the Spherical ball = 4/3πr³

Radius = Diameter ÷ 2

= 8 inches ÷ 2 = 4 inches.

Volume of the Spherical ball = 4/3 × π × 4³

Volume of the Spherical ball = 268.08in³

Step 3

We would be converting the Volume of spherical ball to gallons because this gives us the quantity of water spilled due to the sinking of the spherical ball

If , 1 in³ = 0.00433 gal

268.08in³ =

Cross multiply

268.08 in³ × 0.00433 gal

= 1.1607864 gal.

Step 4

The fourth and final step is to subtract the volume of water in the aquarium from the volume of water spilled

14.6354 gal - 1.1607864 gal

= 13.4746136 gal

Approximately to the nearest tenth = 13.5 gal

Therefore, the amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water.

Please hurry
What is the equation of the line that is parallel to the linear graph of
y = 2x – 1 and passes through the point (-1, 1)?

Answers

Answer:

y=2x+3

Step-by-step explanation:

Parallel: slope is 2

y-1=2(x+1)

y-1=2x+2

y=2x+3

Niu has decorated x cards he started with 24 stickers and he used 4 stickers per card

Answers

Answer:

6

Step-by-step explanation:

4 stickers each x 6 cards = 24 stickers used

you can try random numbers until you get your answer

Answer:

Total number of cards = 6

Step-by-step explanation:

Number of cards = Total number of stickers/ number of stickers per card

= 24/4

= 6

If the slant height of a right cone is 5 inches, and the radius of its base is 3 inches, what is the lateral area of the cone?

π square inches

Answers

Answer:

The laterals area is  15 [tex]\pi[/tex] square inches

Step-by-step explanation:

recall that the formula for the lateral area of a cone of radius R, when the slant height (hs) is given is defined by the formula:

[tex]lateral\,\,area=\pi \,R\,h_s[/tex]

Therefore, in this case, we have:

[tex]lateral\,\,area=\pi \,R\,h_s\\lateral\,\,area=\pi \,3\,*\,5\\lateral\,\,area=15 \, \pi[/tex]

That is 15 [tex]\pi[/tex] square inches

Answer:

15 pi square inches

Step-by-step explanation:

I just did it

Brainliest pls

Please help I don’t understand I need help please

Answers

Answer:

the range is from 0 to 6 , so 6

Step-by-step explanation:

Answer:

0-6

Step-by-step explanation:

i think

Our Town Bakery is counting the amount of cookies sold in 14 days. The bakery sold 316 cookies each day. How many coplies did they sell in all during those 14 days?

Answers

Answer:

4,424 cookies

Step-by-step explanation:

14 times 316 is 4,424 cookies.

Solve the system of equations and choose the correct ordered pair.

Answers

Answer:

C (2,5)

Step-by-step explanation:

Adding the equations, we get 10x+y=25

Multiplying that by 2 we get 20x+2y=50

Add that with the first equation, we get 24x=48, x=2.

Plugging x as 2 in, we see y = 5

So its (2,5)

The answer will be C (2,5)

Express the inequality using interval notation.
x < -4

Answers

Answer:

x< -4 =   ( -∞, -4)


y = x^2- X-6
O A. (x-6)(x + 1)
O B. (x+3)(x-2)
O C. (x - 3)(x + 2)
D. (x-6)(x+5)

Answers

C. (X-3)(X+2) I factored the equation

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Answers

Answer:

easy, if the intercepts or roots or zeros of the equation are r₁ and r₂ then 2 factors of the equatain are (x-r₁) and (x-r₂)

so

we see it intercepts the x axis at 1 and 6

r₁=1

r₂=6

therefore 2 roots are (x-1) and (x-6)

answer is 2nd option

Step-by-step explanation:

if

Answer:

b

Step-by-step explanation:

took the quiz got it right

Desmond wants to buy a card for his wife. Desmond calculates the amount of the card as $4.50. The actual price of card is $4. What is Desmond’s percent error? ​

Answers

Answer:

14.28 percent

Step-by-step explanation:

if f(x) = -3x - 5 and g(x)= 4x - 2, find (f-g) (x).

Answers

Answer:

[tex]-7x-3[/tex]

Step-by-step explanation:

[tex](f-g)(x)[/tex] just means [tex]f(x)-g(x)[/tex].

So

[tex]-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3[/tex]

Which rule describes the translation KLMN - K’L’M’N

Answers

the correct answer is D :)
D is the right answer

Find the roots. List your steps correctly. 2 points each (Show ALL steps of work, check each answer, and state the solutions correctly for full credit) a. f (n) = n2 − 6n − 16

Answers

Answer:

use quizlet

Step-by-step explanation:

Answer:

8 and -2

Step-by-step explanation:

f (n) = n² − 6n − 16

n² − 6n − 16=0n²-2*3n+9=25(n-3)²=25n-3=5 ⇒ n=8n-3= -5 ⇒ n= -2

3 women push a stalled car. Each woman pushes with a 425 N force. What is the mass of the
car if the car accelerates at 0.85 m/s??

Answers

Answer:

1,500 Kg

Step-by-step explanation:

Formual for froce is given by

force = mass * acceleration

Force exerted by 1 woman = 425 N

no. of women exerting force = 3

Force exerted by 3 woman = 425 * 3 N = 1275 N

Acceleration produced by 1275 N force = 0.85 m/s^2

Using formula force = mass * acceleration

1275 = mass *  0.85 m/s^2

=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg

Thus, mass of car is 1,500 Kg.

What is the value of m in the equation zman=16, when n=8?
20
32
44
48

Answers

Answer:

32

Step-by-step explanation:

thats what i think, im 99.9% im correct

2/5 +2/3 is equal to

Answers

Answer: 16/15

Step-by-step explanation:

2/5 + 2/3

(3/3)2/5 + (5/5)2/3

6/15 + 10/15 = 16/15

Answer:

1 1/15

Step-by-step explanation:

To solve this, you must find a common denominator.

The common denominator that comes to my mind is 15.

2/5 = 2*3/5*3

2/5= 6/15

2/3= 2*5/3*5

2/3= 10/15

6/15 + 10/15 = 16/15

16/15= 1 1/15

Please help :)))))))!!!

Answers

Answer:

i think its the option one, not sure

What is the inverse of the function? f(x)=3x−1

Answers

Answer:

The inverse is 1/3 (x+1)

Step-by-step explanation:

y = 3x-1

Exchange x and y

x = 3y-1

Solve for y

Add 1 to each side

x+1 = 3y-1+1

x+1 = 3y

Divide each side by 3

(x+1)/3 = 3y/3

1/3(x+1) =y

The inverse is 1/3 (x+1)

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