pls help asap!!!
Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard
deviation is 32.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 474

σ = 32

x = 514

The probability of being below 514 is expressed as P(x < 514)

For x = 514,

z = (514 - 474)/32 = 1.25

Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89

Therefore,

P(x < 514) = 0.89


Related Questions

f(x)=4x^+1 and g(x)=x^-5 find (f+g)(x)

Answers

[tex]f(x)=4x^1 \\ g(x)= {x}^{ - 5} \\ (f+g)(x) \\ 4x + {x}^{ - 5} \\ [/tex]

express with a postive exponent

[tex]\\ 4x + \frac{1}{{x}^{5} } \\ write \: all \: numerators \: above \\ a \: comon \\ denominator \\ \frac{ {4x}^{6} + 1 }{ {x}^{5} } \:[/tex]

Pls answer this question ​

Answers

Answer:

i think it's surface area units are squared

Step-by-step explanation:

volume units are cubed (eg: cm^3) & surface area units are squared (eg: cm^2)

What is the area of the two triangles and the quadrilateral

Answers

Answer:

Hope this is correct

21.05 divided by 0.2

Answers

Answer:

[tex]\frac{21.05}{0.2}=105.25[/tex]

Step-by-step explanation:

you have to do long division, but there is a number of steps, too many to put in here, but just check on calculator if you want to make sure

21.05 divided by 0.2 equals to 105.25

What is division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

The process of dividing a number up into equal parts, and finding how many equal parts can be made.

Division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members.

Given that, 21.05 divided by 0.2

So, 21.05 ÷ 0.2 = 21.05/0.2

Multiply by 100

= 21.05 x 100 / 0.2 x 100

= 2105/20

= 421/4

= 105.25

Hence, 21.05 divided by 0.2 equals to 105.25

Learn more about divisions, click;

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The graph shows the midday temperature in Cambridge over the summer.
a)What is the range of the temperatures?
b)is the trend downward or upward?

Answers

Answer:

a) 6°C

b) upward

Step-by-step explanation:

a) The range of temperatures is the difference between the maximum and the minimum temperatures. From the graph we can see that:

maximum temperature: 18 °C

minimum temperature: 12 °C

Then:

range of temperatures: 18-12 = 6°C

b) The trend is upward because, given any temperature, the next one is higher.

Answer:

Step-by-step explanation:

a) range is 6.

b) trend is upward.

What is the slope of a line between the points (-4,-3) and (4, -2)?

Answers

Answer:

slope is 1/8

Step-by-step explanation:

you have to substitute the values of x and y into the equation below:

after simplifying your answer would be 1/8

AB has endpoints at A(2,6) and B(6,8). What are the coordinates of the midpoint

Answers

The answer is (4,7)

look at the attached picture

Hope it helps..

Good luck on your assignment

The coordinates of the midpoint of the segment whose endpoints are A(2, 6) and B(6, 8) will be (4, 7).

What is the midpoint of line segment AB?

Let C be the mid-point of the line segment AB.

A = (x₁, y₁)

B = (x₂, y₂)

C = (x, y)

Then the midpoint will be

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

AB has endpoints at A(2, 6) and B(6, 8). Then we have

(x₁, y₁) = (2, 6)

(x₂, y₂) = (6, 8)

Then the mid-point will be

x = (2 + 6) / 2

x = 8 / 2

x = 4

y = (6 + 8) / 2

y = 14/2

y = 7

Then the coordinates of the midpoint of the segment whose endpoints are A(2, 6) and B(6, 8) will be (4, 7).

More about the midpoint of line segment AB link is given below.

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Does anyone have the answers for this please help

Answers

Answer is 7,20 and 104 for the first question

Answer:

1. 7, 20, and 104

2. 42, 16, and 1

3. 64, 180 and 10

4. 12, 4.5, and 0

5. 26, 56, 2, and 6.5

6. 19, 31, 75, and 52.6

7. 18, 28, 15, and 30

8. 26, 50, 145, and 401

Step-by-step explanation:

hope this helps

WILL GIVE BRAINLIST AND THANKS IF CORRECT

Solve this equation:

3(x+2)+2x=21

Answers

Answer:

x=3

Step-by-step explanation:

First distribute the 3!

3x+6+2x=21

Then, combine like terms.

5x+6=21

Move the 6 to the other side

5x=15

Divide each side by 5

x=3

The answer is 3.
Check the steps
⬇️

please help with my HOMEWORK question

please explain step by step what to do I need help

what is 16-2t=5t+9

Answers

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

1) First move 5t to the left side

16 - 2t - 5t = 9

2) Then move 16 over to the right side

-2t -5t = 9 - 16

3) simplify both sides

-7t = -7

4) divide both sides by 7

-t = -1

5) divide both sides by -1

t = 1

Hope that helped : )

ignore the circled one and actually try please​

Answers

Answer:

A

Step-by-step explanation:

= 2x5−8x4 /(6x3+30x2)

=  2x3−8x2 /(6x+30 )

= x3−4x2 /(3x+15)

Answer:

a.[tex] \frac{x^3-4x^2}{3x+15}[/tex]

Step-by-step explanation:

[tex]\huge{ \frac{2x^4}{x+5} \div \frac{6x^2}{x-4} }\\\\\huge{= \frac{2x^4}{x+5} \times \frac{x-4}{6x^2}}\\\\\huge{ =\frac{x^2}{x+5} \times \frac{x-4}{3}}\\\\\huge {=\frac{x^2(x-4)}{3(x+5)}}\\\\\huge{=\frac{x^3-4x^2}{3x+15}}[/tex]

Please tell me which option it is !?!?

Answers

Answer:

it is the second option. answer is x[tex]\leq[/tex]-8/3 or x>4

Step-by-step explanation:

we have the inequality 3x+8/x-4=0

we first multiply both sides by 4 the 4 cancels out on the left-hand side and  4*0 is 0 so we now have 3x+8=0 then we subtract both sides by 8 and get 3x=-8 then we divide both sides by 3 and get x=-8/3  

x[tex]\leq[/tex]-8/3 works in the original inequality

-8/3[tex]\leq[/tex]x[tex]\leq[/tex]4 does not work

x>4 does work

Answer:

its the first one I promise I even used a special calculator to be sure it is 100% the first option trust me

How to calculate the height of an object using trigonometry

Answers

Answer:

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

Step-by-step explanation:

a is the height

b is the base

c is the hypotenuse

Answer:

Step-by-step explanation:

I have sent a pic. Instead of tree, any other object you are finding the height of.

Can somebody help me with this problem please.

Answers

The answer Is Description

Order the cones from least volume to greatest volume
Cone A r=5 inches h=6 inches
Cone B r= 7 inches h=4 inches
Cone C r=6 inches h=5 inches

Answers

Answer:

Cone A, Cone C, Cone B

Step-by-step explanation:

The volume of a cone is V=πr^2h/3 where V represents the volume, r represents the radius, and h represents the height.

That means the volume of cone A would be:

V = π * 5^2 * 6/3

V = π * 25 * 2

V = 50π

And the volume of Cone B would be:

V = π * 7^2 * 4/3

V = π * 49 * 4/3

V = 65.33π (about)

Lastly, the volume of Cone C would be:

V = π * 6^2 * 5/3

V = π * 36 * 5/3

V = 60π

65.33π > 60π > 50π

Therefore, Cone B has the largest volume, then Cone C, and, lastly, Cone A.

Ari is arranging her coin collection. She has 11 pennies, 5 nickels, 8 dimes, 7 quarters, and 9 half-dollars. If she chooses one at random, what is the probability that it is a penny?

Answers

The percentage would be 27.5 because you add the 11, 5, 8, 7, 9 up and then divided by 11 to get your percentage. So percentage should be 27.5% and a fraction would be 11/40

Jose is mailing a package shaped like the rectangular prism shown in the figure. Use a net to find the surface area of the package ​

Answers

Answer:

222cm

Step-by-step explanation:

8*7.5*2=120

3.4*7.5*4=102

222cm

Find the value of x.

Answers

Answer:

x=47.41662784

Step-by-step explanation:

take sin 28° multiplied by 101 because sin equals opposite/hypotenuse. in this case (sin 28=x/101). (101*sin 28=x)

Answer:

x=47.41662784

Step-by-step explanation:

which expression is equivalent to -28x^2+35x ? F. 7x(4x+5) G.-7x(4x-5) H.7x(4x-5) J.-7x(4x+5) please explain w the steps

Answers

Hey!!

Solution,

-28x^2+35x

take the common,

-7x(4x-5)

The answer is -7x(4x-5)

Here,

If we solve,

-7x(4x-5)

Then, the answer would be:

= -7x*4x+7x*5

= -28x^2+35x

Hope it helps

Good luck on your assignment

Answer:

G

Step-by-step explanation:

-28x² + 35x = -7 * 4 * x² + (-7)*(-5)*x

                  = -7x(4x - 5)

Help please! 2 questions!!!!​

Answers

Answer:

1. 50

2. 12

Step-by-step explanation:

Answer:

2. 50 stamps

3. 12 minutes

Step-by-step explanation:

2. Darius had 15 stamps, then he ordered 3 rolls. You can determine how many he got from the rolls by subtracting the total from 15. 165 - 15 = 150.

Now we know that there were 150 stamps in the rolls Darius ordered. Divide 150 by 3 (3 rolls) to find the number of stamps in each roll!

150/3 = 50.

3. First, remember that 1 hour = 60 minutes.

We want to find how long America played soccer on Monday, which is the same amount of time she played on Tuesday and Wednesday as well. This means we can subtract Thursday and Friday's time from 60 minutes, then divide that time by 3, to find the time she played on Monday.

60 - 14 - 10

= 36 minutes

Now, we divide 36 minutes by 3 to get 12 minutes.

HELP PLEASE!! ASAP!!

Answers

Answer:

The estimated distance is 8.1cm.

The actual distance is 8.106cm.

Step-by-step explanation:

Given that the Pythogorean Theorem, c² = a² + b². Then substitute the following values into the formula :

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

Let a = 5.1cm,

Let b = 6.3cm,

[tex] {c}^{2} = {5.1}^{2} + {6.3}^{2} [/tex]

[tex] {c}^{2} = 26.01 + 39.69[/tex]

[tex] {c}^{2} = 65.7[/tex]

[tex]c = \sqrt{65.7} [/tex]

[tex]c = 8.106cm \: (3d.p)[/tex]

If p,q,and r, are any three collinear points such that q lies between p and r find the value of x if pr = 5 x, pq =10, and qr = 3x-2.

Answers

Answ3r:

4

Step-by-step explanation:

I'm kind of going on a limb here....I think  

Answer: The answer is 4

Step-by-step explanation:

P, Q, and R are collinear points.

Q lies between P and R

Therefore ,

PR = PQ + QR

5x = 10 + 3x-2

5x - 3x = 8

2x = 8

x = 8/2

x =4

Please answer the attachment below correctly!

Answers

Answer:

Step-by-step explanation:

The other factor has 4 decimal places because the number of decimal places in a product is the sum of number of decimal places in the factors.

Example = 4.3 * 2 = 8.6

      4.3 * 0.2 = 0.86

What are the potential solutions of In(x? - 25) - 0?
O x-+ 13
X-V28
O x-=10

Answers

Answer:

V 8 on 8 D

Step-by-step explanation

Answer for 100 points! If you answer as a joke or dont even answer at all, I will report your answer, your points will be removed, and you wont have brainliest. Remember moderators are ALWAYS around.

Answers

Answer:

Edited: heads and tails

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

jane earns £1800 every month. She pays 40% of the £1800 in the rent and 1/3 of the £1800 on food

Work out how much of the £1800 jane has left.

Answers

Answer:

£480

Step-by-step explanation:

40 percent of 1800 is 720, and 1/3 of 1800 is 600, 720+600=1320, 1800-1320=480.

Roughly £480 hope that helps

Rotate this shape 90 degrees clockwise... Draw the new shape and label the vertices of the new shape with A’B’C’D’

Answers

Answer:

  see below

Step-by-step explanation:

A 90° clockwise rotation performs the transformation ...

  (x, y) ⇒ (y, -x)

So, for example, point A becomes ...

  A(2, 1) ⇒ A'(1, -2)

please help as soon as possible
I WILL MARK YOU AS BRAINLIEST ​

Answers

Answer:

Both coordinates are negative

Answer:

The x-coordinate is negative, and the  y-coordinate is negative.

Step-by-step explanation:

It's a bite hard to explain it without a xy-plane. I don't want to upload it, so I will try to draw it:

            [tex]\left[\begin{array}{ccc}a&|&b\\-&-&>\\c&|&d\end{array}\right][/tex]

We have point [tex]a[/tex] in the coordinates [tex](-x, y)[/tex]

We have point [tex]b[/tex] in the coordinates [tex](x, y)[/tex]    

We have point [tex]c[/tex] in the coordinates [tex](-x, -y)[/tex]        

We have point [tex]d[/tex] in the coordinates [tex](x, -y)[/tex]

A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.

This point is [tex]d[/tex]. Once it is reflected over the y-axis, it turns to be point [tex]c[/tex].

3 times the sum of k and d
A 3(k + d)
B 3 + k +d
C 3k + d
D 3kd​

Answers

It’s c zzzzzjzjdjdjdbbebbebbebsbsbbsbshhsh
The answer is C. Hope it helps

\frac{(2_1-4_{2}) ^{4} } {2}
Quick I need help

Answers

Answer:

what is /frac part supposed to be??

Step-by-step explanation:

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