A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?

Answers

Answer 1

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986


Related Questions

!!!!Please help!!!!Choose the answer that best represents the situation described below
Casey is taking pictures outdoors. She knows that the darker it is outside, the
stronger she needs to set her flash,
A. The amount of light outside is a function of the strength of flash
she needs
B. The strength of flash needed is a functlyn of the shutter speed of
her camera
C. The strength of flash needed is a function of the amount of light
outside,
SUBMIT

Answers

It is a ..............

An airplane cover 1020km in an hour. How much distance will it cover in 25/6 hours

Answers

Answer:

4250 km

Step-by-step explanation:

If we convert 25/6 into a mixed fraction, we get 4 1/6. Since we already know the plane goes for four hours already, we can multiply 1020 km x 4. That would give us 4080. Now that we converted the equation into a mixed fraction, we also know that the plane goes for an extra 1/6 hour. We divide 1020/6 because it is a sixth of an hour and the plane can travel 1020 in an hour. We get 170 km for 1/6 of an hour.

4080km + 170km= 4250 km

Given : An airplane cover 1020km in an hour.

To Find : How much distance will it cover in 25/6 hours .

Solution : It is given that an airplane covers 1020 km in one hour , this implies that the speed of the airplane is 1020km/hr .

Now , it is asked to find that how much distance it will cover in 25/6 hours .

Here ,

Speed = 1020km/hr .Time = 25/6 hr .Distance = ? .

★ We know a relation between speed , distance & time as ,

[tex]\boxed{\red{\bf Distance = Speed \times time }}[/tex]

⇒ Distance = Speed × Time .

⇒ Distance = 1020km/hr × 25/6 hr .

Distance = 4250 km .

Hence the distance travelled is 4250km.

5 3/4 x 2 1/3 =? wut da answer?

Answers

The answer is 13 5/12 hope this helps

Juana had a board that was 54 inches long. She cut off 22.5 inches for a project. How may inches of the board remain?

Answers

Answer:

Step-by-step explanation:

4+2=5

-2323

asdasd

She has 31.5 inches remaining.

PLZ HURRY IT'S URGENT!!!
What is the slope of the line?

y=3
options:

0


1


3


undefined

Answers

Answer:

0

There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)

Answer:

0

Step-by-step explanation:

Which statements are true about points A, B, and C? Check all that apply.

Answers

Answer:

b

Step-by-step explanation:

Answer:

2 & 5

Step-by-step explanation:

The cruising speed of a 747 airplane is 9,944 in per second what is the speed to the nearest foot per second

Answers

Answer:

Divide 9944 by 12 feet per second

828.666 or 828.7

Step-by-step explanation:

9514 1404 393

Answer:

  829 ft/s

Step-by-step explanation:

Multiply by a conversion factor that cancels the units you don't want and gives you the units you do want.

  [tex]\dfrac{9944\text{ in}}{\text{s}}\times\dfrac{1\text{ ft}}{12\text{ in}}=\dfrac{828.\overline{6}\text{ ft}}{\text{s}}\approx\boxed{829\text{ ft/s}}[/tex]

The side lengths 4, 4, and 10 can form a triangle. True False

Answers

Answer:

false

Step-by-step explanation: ...

Mai says that -8 > -4 . Do you agree with her? Explain or show your reasoning.

Answers

Answer:

No

Step-by-step explanation:

-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.

How much of the pumpkin bread does edgar get in all find the quotient.
3 ÷ 5=??

Answers

Answer:

hi i am doing that i ready lesson right now the answer is 3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Find the equations of any horizontal tangents to the curve
y = x^3 - 3x ^2 - 9x + 2

Answers

Answers:

y = -25

y = 7

Step-by-step explanation:

Find the derivative of the function.

[tex]\frac{dy}{dx} y = 3x^2-6x-9[/tex]  

The zeros of the derivative are the local extrema (Maximum & Minimum)

[tex]0 = 3x^2-6x-9[/tex]

Take out the greatest common factor, 3, to get this equation:

[tex]0 = 3(x^2-2x-3)[/tex]

Factor out the brackets.

[tex]0 = 3(x - 3) ( x + 1 )[/tex]

You are left with two possible values for x:

x = 3

x = -1

By substituting each value into the original function [tex]y = x^3 - 3x^2 - 9x + 2[/tex], you get the equation of any horizontal tangents to the curve.

When x = 3:

[tex]y = (3)^3 - 3(3)^2 - 9(3) + 2 = -25[/tex]       Meaning y = -25

When x = -1:

[tex]y = (-1)^3 - 3(-1)^2 - 9(-1) + 2 = 7[/tex]    Meaning  y = 7

what kind of line is this? 2y=19

Answers

straight line pretty sure

) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80

Answers

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]    for P > 0.2S

Q = 0                     for P < 0.2S

[tex]S = \dfrac{1000}{CN}-10[/tex]

where:

curve number CN = 80

[tex]S = \dfrac{1000}{80}-10[/tex]

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]  

[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]

[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]

[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]

[tex]Q = \dfrac{(56.25)}{(10)}[/tex]

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

Name all rays with endpoint E

Answers

Answer: Is there an image??

AE, BE, CE, and DE is the rays with endpoint E.

What is a vector?

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

Geometrical objects with magnitude and direction are called vectors.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

Given the figure,

The endpoint of all rays is E.

The rays associated with point E are;

AE, BE, CE, and DE

Hence "AE, BE, CE, and DE is the rays with endpoint E".

For more information about vector,

brainly.com/question/13322477

#SPJ2

someone help please!!

Answers

Answer:

1

Step-by-step explanation:

I’m not sure but I think it’s 1

-7+8
what is negative 7 plus 8?

Answers

Answer:

1

Step-by-step explanation:

You could have just used a calculator tard lol

Answer:

1

Step-by-step explanation:

-7 +8=1 cause you have 1 positive left over

I need help with this question

Answers

Answer:

b

Step-by-step explanation:

convert 0.00633 to a scientific notation

Answers

Answer:

6.33 × 10⁻³

Step-by-step explanation:

Scientific Notation: x.xx × 10ⁿ

We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.

Answer:

6.33 × 10[tex]^{-3}[/tex]

Step-by-step explanation:

** The negative three is supposed to be an exponent **

true or false 2*10=2*10^3​

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2*10 = 20

So your equation would look like this:

20 = 2*10^3

10 to the third power is 1000

1000*2 = 2000

2000 is not equal to 20

Hope I helped :)

Please consider Brainliest :)

A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not
defective?

Answers

Answer:

ur nan

Step-by-step explanation:

Simplify

square root of -44​

Answers

Answer: 6.63324958 i    

Answer 2: 2i√11

5/680 long divison explanation

Answers

I don’t know It probably something called calculator and google searching because even tho it look easy I’m just to lazy to even help sorry.

Donavon and three friends go to a fair. They each spend 1/2 of their money on rides. ​ Then, they each spend​ $3 on food. At the end of the​ day, Donavon and his friends have a total of​ $8 remaining. How much money did each person bring to the​ fair? Complete the work to find the value of x.

(Type integers or​ fractions as the answer.) like top to down

Answers

Answer:

$22

Step-by-step explanation:

Hi here is the explanation

We just do the opposite of the question

We just add the values

So 3+8=11

Now multiply. Since when we have the total and we spent haslf of it, we divide, so now we multiply by reciprocal, the opposite

11*2=22 (2 is the reciprocal)

Now let’s see we did it right

22*1/2=11

Now let’s subtract to find the remaining

11-3=8

As you can see, we are right as they had $8 left.

Hope it helps

Hope you mark me brainliest!

Arrange the steps to solve the equation V3+3-V23-1= -2.

-Simplify to obtain the final radical term on one side of the equation.

-Raise both sides of the equation to the power of 2.

-Apply the Zero Product Rule.

-Use the quadratic formula to find the values of x.

-Simplify to get a quadratic equation

-Raise both sides of the equation to the power of 2 again.

Answers

Answer:

1. Raise both sides of the equation to the power of 2.

2. Simplify to obtain the final radical term on one side of the equation.

3. Raise both sides of the equation to the power of 2 again.

4 . Simplify to get a quadratic equation.

5. Use the quadratic formula to find the values of x.

What similarity rule can be used to prove the triangles are similar . plz help

Answers

Answer:

SAS

Step-by-step explanation:

What is the sum of (2x2 + 5x -3) and (-3x2 -10 + x2)​

Answers

Answer:5x-13

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](2 {x}^{2} + 5x - 3) + ( - 3 {x}^{2} + {x}^{2} - 10) = \\ [/tex]

[tex]2 {x}^{2} - 2 {x}^{2} + 5x - 3 - 10 = [/tex]

[tex]5x - 13[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Question 1 (2 points)

(03.04)

For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range. (2 points)

A-The vertex is (-1,4), the domain is all real numbers, and the range is y greater than4.

B-The vertex is (-1, 4), the domain is all real numbers, and the range is y less than4.

C-The vertex is (1,4), the domain is all real numbers, and the range is y greater than 4.

D-The vertex is (1.4), the domain is all real numbers, and the range is y less than4.

Answers

Answer:

The vertex is (-1, 4), the domain is all real numbers, and the range is y less than 4

Step-by-step explanation:

Given

[tex]f(x) = -(x+1)^2 + 4[/tex]

Solving (a): The vertex;

Assume the general form of a function is

[tex]f(x) = a(x-h)^2+k[/tex]

The vertex is determined by [tex](h,k)[/tex]

By comparison, we have:

[tex]-h = 1[/tex]

Solve for h, we have:

[tex]h = -1[/tex]

[tex]k = 4[/tex]

So, the vertex is:

[tex](h,k) = (-1,4)[/tex]

The domain; x is all real numbers

From the function;

[tex]f(x) = -(x+1)^2 + 4[/tex]

This can be rewritten as:

[tex]f(x) = 4 - (x+1)^2[/tex]

This implies that:

Whatever the value of [tex](x + 1)^2[/tex] is, it will be subtracted from 4 to give y or f(x);

Hence:

y is less than 4

Option B answers the question

HELP ASAP Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? please show work i will make you brainlist

Answers

Answer:

you can have 35 tickets

Step-by-step explanation:

Solve for x. -2x-4>8

Answers

Answer:

x<-6

Step-by-step explanation:

-2x-4>8

(move the constant to the right)

-2x > 8+ 4

(calculate)

-2x>12

(divide both sides)

x<-6

(your answer)

A cylinder has a height of 20 inches and a diameter of 18 inches.
Find the surface area in terms of straight pi

Answers

Answer:

1639.91

Step-by-step explanation:

to work out surface area of a cylinder u do

A=2πrh+2πr2

hope this helps :)

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