A Normal distribution has mean µ = 61.6. Find it’s standard deviation if 20% of the values are greater than 70. (Hint--use the z-score formula).

Answers

Answer 1

Answer:

The value is  [tex]\sigma = 9.976[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is [tex]\mu = 61.6[/tex]

Given that 20% of the values are greater than 70, the z-score to  the right of the curve  corresponding to 20% (0.2) of the values is

     [tex]z-score = 0.842[/tex]  

Generally this z-score is mathematically represented as

       [tex]z-score = \frac{x - \mu }{\sigma }[/tex]

Here  x = 70  

So

     [tex]0.842 = \frac{70 - 61.6 }{\sigma }[/tex]

=>   [tex]\sigma = 9.976[/tex]


Related Questions

What is the slope of the line?answer

Answers

Answer: -2/3x

Step-by-step explanation:

Use the rise over run method and if it's going from left to right downards put a negative.

What is the orders pair that is a solution to this equation, y=x+2

Answers

Answer: These are possible solutions:

(0,2) (1,3) (2,4)

Hope this helps..:)

Graph the line with the equation y = 2x – 5.

Answers

Answer:

y- intercept is -5

(0, -5)

x=5/2 +1/2 y

Step-by-step explanation:

put your first point on y  -5  

Square root of 45 minus square root of 5

Answers

Answer:

4.472135955

Step-by-step explanation:

Answer:

i think it's 1.7082039325

Step-by-step explanation:

Rewrite in radical form

Answers

Answer:

6 1/3

Step-by-step explanation:

What is the slope
of the graph?

Answers

Answer: Where is the graph? You can solve for the slope by doing y2-y1 over x2-x1

Step-by-step explanation:

While at the pet store, Fred counted the number of animals in the store. For every 3 dogs in the store, there were 4 cats. Identify the equivalent ratios of dogs to cats. Select two that apply. 6:8 B 300:40 C 9:12 D 6:2​

Answers

A and C would be your answer because
3x2= 6
4x2=8.
And
3x3=9
4x3=13

Answer:

I am thinking that it is A and C

Step-by-step explanation:

If I am right may I get a brailiest

If I am wrong I am so very sorry

find the rate of change (2,15.50) (4,31.00)

Answers

Answer:

The answer is 7.25

Step-by-step explanation:

I suggest you search for, "khan academy slope."

Hope this helps :)

How do you do these questions?

Answers

Answer:

k = 0.2

A = (M / P₀) − 1

Step-by-step explanation:

dP/dt = kP

When t = 0, P = 1000 and dP/dt = 200.

200 = 1000k

k = 0.2

P = M / (1 + Ae⁻ᵏᵗ)

When t = 0, P = P₀.

P₀ = M / (1 + A)

1 + A = M / P₀

A = (M / P₀) − 1

5 2/5 divided by 3/2

Answers

Answer:

5 2/5 ÷ 3/2 = 3.6

I hope this is right

Solve and graph.
3<4-2x<6

Answers

Answer:

X ( - 1, 1/2)

Step-by-step explanation:

4 - 2x > 3

4 - 2x < 6

Then solve the inquality for x

X< 1/2

X > - 1

Then u get the answer x ( - 1, 1/2)

Note: [ 1/2 is 1 over 2]

Step-by-step explanation:

3<4-2x 4-2x<6

-1<-2x -2x<2

1/2>x x>-1

x<1/2

the graph shown in pic

Please help if u get these all right i will mark brainliest

Answers

Answer:

1.

5x+2+3x
8x+2

2.

3+17x+8
11+17x

3.

19+6x+2x
19+8x

4.

4x+5^2+5x+10^2
4x+25+5x+100
9x+125

5.

5x+18+13y+12x+8y
17x+18+21y

It wasn’t specified in regard to how, it should be solved. So I just simplified them all.



Look at the attachment.​

Answers

Answer:

12 cups

Step-by-step explanation:

21:7=3 i mean that's kinda it

3x4=12

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

Yellow is correct.

You can add the valued and divide by how many values there are to find the mean

The score of 20 is an outlier and brings the mean score down by almost 10%

Step-by-step explanation:

Answer:

3: The low score causes the mean to decrease.

Step-by-step explanation:

If you add a significantly lower number, it will bring down the overall average.

Hope this helps!

(I'LL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEEEE!!! :D)


Which expression results in a sum or difference of eight and eleven twenty fourths?

A) six and two twelves plus two and one half

B) four and one eighth plus four and one third

C) ten and five sixth minus two and three quarters

D) nine and two thirds minus one and there eighths


(Here is an image if needed) :

Answers

Answer:

a) 8 and two thirds

b) 4 and 11/24

c) 8 and 1/12

d)8 and 7/24

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

find the slope and y intercept for 15x= -2y-14

Answers

15x = -2y - 14
15 x + 14 = -2y
(-15/2)x - 7 = y
y = (-15/2)x - 7
Slope = -15/2
Y intercept = -7

HELP ASAP PLEASE :)))
.
.
.
.
.

Answers

Answer:

The first one is not. The second one is. The third one is. The fourth one is not. The fifth one is not. The sixth one is.

Step-by-step explanation:

Answer: First one, no? I'm not sure its been a while

Step-by-step explanation:

A box contains 12 oranges and 8 bananas. What is the ratio of bananas to oranges, without simplifying?

Answers

Answer:

The ratio is eight to twelve

Please help please help,! :( this is urgent!

Answers

Answer: A

Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A

helpppppppp pleasee​

Answers

the answer is the first one
The first one

The y intercept is 2.5 which can be written as 5/2

The slope is negative since it is going down and to the right and for every one square down it does 2 over so the slope is -1/2

That gives the equation y = -1/2 + 5/2

Help me please and thank you

Answers

Answer:

b/-4+8=5
Multiply each side by 4
-b+32=20
Move the constant to the right
-b=20-32
-b=-12
Change the signs
b=12

“t is greater than zero and less than or equal to 5”
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• The solution graphed on a number line
• The solution in interval notation

Answers

Answer:

Numerical Form: 0 < t ≤ 5

not doing number line

interval notation: (0,5]

Step-by-step explanation:


Write in terms of i.
Simplify your answer as much as possible. -14

Answers

Answer:

14i^2

Step-by-step explanation:

Find the slope:

(-12, -13), (-12, 1)



Group of answer choices

14

Zero

Undefined

Answers

Undefined. Also there is this website called desmos, and if you go to the graph section, they have different graphs like two point, one point, etc. so you can figure stuff out like the slope:) hope this helps

| 3x + 2 |= 4x + 5
explain how to solve it please

Answers

Answer:

x = -3

Step-by-step explanation:

Subtract 2 from both sides of the equation.

3x + 2 = 4x + 5

3x + 2 - 2 = 4x + 5 - 2

Step 2.

Simplify. Subtract the numbers 3x =4x + 3

Now subtract 4 from both sides.

Combine like terms -x = 3

Divide both sides of the equation.

Cancel terms that are in both the numerator and denominator

Divide the numbers

And that's how X = -3

Hope this helped you! If it did, please mark as brainliest this helps me and others a lot. Have a wonderful day.

slope = 3, y-intercept = -1

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

Well I really don't understand what you're asking, but I'll give it a go.

y = 3x -1

That's what the equation would look like.

Hope this is what you wanted!!!

Francisco makes $11 per hour doing part time work on Saturdays. He spends $3 on transportation to and from work. The equation y = 11x - 3 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
x=2
x=3
x=4
x=5

Answers

Answer:

x=4

Step-by-step explanation:

You want to plug each x value into the equation to complete the table of values. The x variable represents how many hours he worked

y=11(2)-3=19
y=11(3)-3=30
y=11(4)-3=41
y=11(5)-3=52

Hope this helps!

In​ 2012, the population of a city was 5.82 million. The exponential growth rate was 2.95% per year.
​a) Find the exponential growth function.
​b) Estimate the population of the city in 2018.
​c) When will the population of the city be ​million?
​d) Find the doubling time.

Answers

Answer:

a) P(t) = 6.57e ^{0.0287t}P(t)=6.57e

0.0287t

b) P(6) = 7,805\ millionP(6)=7,805 million

c) t = 14.64\ yearst=14.64 years

d) t = 24.15\ yearst=24.15 years

Step-by-step explanation:

a) The function of exponential growth for a population has the following formula:

P(t) = p_0e ^{rt}P(t)=p

0

e

rt

In this equation:

p_0p

0

is the initial population

r is the growth rate

t is the time in years

In this problem we know that

r = 2.87\% = 0.0287r=2.87%=0.0287

p_0= 6.57p

0

=6.57 million in the year 2012.

So the equation is:

P(t) = 6.57e ^{0.0287t}P(t)=6.57e

0.0287t

Where t = 0t=0 represents the year 2012

b) If t = 0t=0 in 2012, then in 2018 t = 6t=6

The population in 2018 is:

\begin{gathered}P(t = 6) = 6.57e ^{0.0287(6)}\\\\P(6) = 7,805\ million\end{gathered}

P(t=6)=6.57e

0.0287(6)

P(6)=7,805 million

c) To know when the population is equal to 10 million we must equal P(t) to 10 and solve for t.

\begin{gathered}P(t) = 10 = 6.57e ^{0.0287t}\\\\\frac{10}{6.57} = e ^{0.0287t}\\\\ln(\frac{10}{6.57}) = 0.0287t\\\\t = \frac{ln(\frac{10}{6.57})}{0.0287}\end{gathered}

P(t)=10=6.57e

0.0287t

6.57

10

=e

0.0287t

ln(

6.57

10

)=0.0287t

t=

0.0287

ln(

6.57

10

)

t = 14.64\ yearst=14.64 years

d) The function is doubled when P(t) = 2p_0P(t)=2p

0

P(t) = 2(6.57) = 13.14 = 6.57e ^{0.0287t}P(t)=2(6.57)=13.14=6.57e

0.0287t

We solve for t.

\begin{gathered}\frac{13.14}{6.57} = e ^{0.0287t}\\\\ln(\frac{13.14}{6.57}) = 0.0287t\\\\t = ln{13.14}{6.57})}{0.0287})\

end

{gathered}

6.57

13.14

=e

0.0287t

ln(

6.57

13.14

)=0.0287t

t=

0.0287

ln(

6.57

13.14

)

)

t = 24.15\ yearst=24.15 years

Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her house and her school. Given FG=2x meters, GH=1,000 meters and FH=1,200 meters. What is the value of x in meters?

Answers

Answer:

x = 100

Step-by-step explanation:

Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her house and her school. Given FG=2x meters, GH=1,000 meters and FH=1,200 meters. What is the value of x in meters?

FG=2x meters, GH=1,000 meters and FH=1,200 meters.

FH = FG + GH

1200 = 2x + 1000

1200 - 1000 = 2x

200.= 2x

x.= 200/2

x = 100

7. You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They have requested that all values be reported in feet using scientific notation.


Bonnewell’s Internet Company boasts that its wireless access points have the greatest range. The company claims that you can access its signal up to 3500 feet from its device. A competing company, Johnson’s Wi-Fi, has devices that extend to up to 700 feet.


Rewrite the range of each company’s wireless access devices in feet using scientific notation.








You can determine how many times greater the range of one Internet company is than the other by writing their ranges as a ratio.

Write and find the value of the ratio that compares the range of Bailey’s wireless access devices to the range of Bonnewell’s wireless access devices. Write a complete sentence describing how many times greater Bonnewell’s Wi-Fi range is than Johnson’s Wi-Fi range.


really need this

Answers

Answer: what is the question asking?

Step-by-step explanation:

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