The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, what percent of performances would fall between 395 and 1983 points?
Your answer
A. 100%
B. 68%
C. 95%
D.99.7%

Answers

Answer 1

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1189 points, standard deviation of 397 points.

Percentage between 395 and 1983 points?

395 = 1189 - 2*397

1983 = 1189 + 2*397

So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.


Related Questions

A baker uses 5 cups of flour to make 75 cookies. Using this same ratio, how many cups of flour will be needed for 45 cookies? Use the ratio table given to solve the problem.

Answers

Answer:

Since, the baker use 5cups for 75cookies.Then for 30 cookies number of cups=

=75/5

=15.

Therefore no. 1cups for 15cookies.so,for 30 cookies=

=15*2

=30.

So, 2cups are needed for 30cookies

simplify 8x+7-x-4


help meeeeee!!!​

Answers

Answer:

7x + 3

Step-by-step explanation:

Let's simplify step-by-step.

8x + 7 − x − 4

= 8x + 7 + −x + −4

Combine Like Terms:

= 8x + 7 + −x + −4

= (8x + −x) + (7 + −4)

= 7x + 3

Answer:

= 7x + 3

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

NEED HELP ASAP PLEASE! BRAINLIEST TO RIGHT ANSWER! Are the polygons similar? If they are, write a similarity statement and give the scale factor.

Answers

Answer:

B) Yes; POSN~KDAG; scale factor 5:4

Step-by-step explanation:

B) Yes; POSN~KDAG; scale factor 5:4

Same angles (If 3 are the same, the 4th is the same).

Comparing the 4 respective sides:

15/12=5/4

10/8=5/4

7.5/6=5/4

15/12=5/4

i will be sooooo thankful if u helped me

Answers

the answer to question 35 is d

Answer:

For 35 its C

Step-by-step explanation:

 

A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.

Answers

Answer:

Step-by-step explanation:

A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t

is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the

nearest whole number, and do not include units.


In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?

Answers

Answer:

43 inches

Step-by-step explanation:

If ∠1 and ∠2 are vertical angles and m∠2 = 108°, find m∠1.

Answers

Answer:

angle 1 = 108°

Step-by-step explanation:

because angle 1 and angle 2 are vertical angles and vertical angles are equal.

Pick the correct value for the image of A after applying the rotation matrix.

(- 3, -4)

(- 1, -4)

(1, -4)

(3, -4)

Answers

Answer:

A) (- 3, -4)

Step-by-step explanation:

edge 2021

Answer:

A) (-3, -4)

Step-by-step explanation:

write the following comparison as a ratio reduced to lowest terms.



94 hours to 8 days​

Answers

Answer:

11.75:1

Step-by-step explanation:

alrighty right, more unit rates, so we have to get that 8 down to 1. How are we gonna do that? By dividing it by 8. And if we divide one side by 8, we also have to divide the other side:

8 ÷ 8 = 1

94 ÷ 8 = 11.75

So 94 hours to 8 days in lowest terms is 11.75 hours to 1 day

reduce 12/20 to lowest term

Answers

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

Simplify 4x + 3x² + x² - 3x​

Answers

Answer:

[tex]x + {4x}^{2} [/tex]

Step-by-step explanation:

simplify by combining like terms

4x - 3x = x

[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]

we're left with

[tex]x + {4x}^{2} [/tex]

Answer:

4x²+x

Step-by-step explanation:

4x-3x+3x²+x²

4x minus 3x is x and 3x² +x² is 4x²

therefore,

4x²+x

What formula can be used to find circumference? Choose all that apply. *
Cat
2r
nd
2nd

Answers

Answer:

circumference =pi ×diameter

OR

pi × radius × 2


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

-8x+8=-6x+20 and x= -6

Step-by-step explanation:

Reason to equation:

This image shows alternative interior angles.

Alternative interior angles are congruent to each other.

How to find x:

-8x+8=-6x+20

We subtract 8 from both sides

-8x=-6x+12

We add 6x to both sides

-2x=12

We divided -2 from both sides

-2x/-2x = 12/2

Leaving us with x=-6

Which answer choice represents a person burning 45
calories by climbing 9 flights of stairs?
F
Number of Flights of
Stairs Climbed, f
Number of Calories
Burned, c
G.
c=f+5, where c represents the number of
calories burned and f represents the number of
flights of stairs climbed.
1
5
3
15
5
25
7
35
J
A person who climbs 5 flights of stairs will
burn 1 calorie
90
22
Need
Heln2

Answers

I’m working it out give me like 5 minsss

PLEASE HELP!
I AM IN A HURRY

Answers

Answer:

Honestly I have no idea what is going on in this passage or whatever it is.

Step-by-step explanation:

Solve using the tangent formula(real answers only please)

Answers

9514 1404 393

Answer:

  21.07

Step-by-step explanation:

The tangent ratio is ...

  Tan = Opposite/Adjacent

For the given values, this is ...

  tan(36°) = x/29

Solving for x, we have ...

  x = 29·tan(36°)

  x ≈ 21.07

$410 is invested in an account earning 4.2% interest (APR), compound quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.

Answers

Report this clown who put the first answer he’s trying to get your ip

6/x=2x+4/5 multiply each side by the common denominator to find the quadratic equation equivalent to this equation

Answers

9514 1404 393

Answer:

  C.  2x² +4x -30 = 0

Step-by-step explanation:

This is what you get when you follow the instructions.

  [tex]\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(5x)(2x+4)}{5}\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}[/tex]

Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?
O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y

Answers

Answer:

x² + 11x-16y

Step-by-step explanation:

The given equation is :

[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]

It can be simplified as follows :

[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]

So, the correct option is (d) i.e. x² + 11x-16y.

What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10

Answers

Answer:

1000 / 100

Step-by-step explanation:

Answer:

ff

Step-by-step explanation:

How is the graph of the parent quadratic function transformed to produce the graph of y--(2x+6)2+3?
O The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated
up 3 units
O The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated
up 3 units
The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up
3 units
O The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up
3 units

Answers

Answer: a

Step-by-step explanation:

just took the test

What is the slope of the line that goes through (0,0) and (6, 3)?

Answers

Answer:

0.5

Step-by-step explanation:

so the slope is also known as the gradient in y=mx+c

If I apply distributive property to 6 (t + 12) = 114 then what operation will I need to use first

Answers

Answer:

Step-by-step explanation:

First divide 6 from the left size so it gets cancelled.

Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6

Which becomes (t + 12) = 19

Now, (t + 12) - 12 = 19

Therefore, t = 19 - 12

Answer: t = 7

(whatever you do to one side, most be done to the other side too).

To check,

6(t+12)=114

6(7+12)=114

Solve brackets first, 6(19)=114

114=114

The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

What is Distributive property?

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

As per the given data:

To apply distributive property in  6 (t + 12) = 114

Distributive property: A (B + C) = A × B + A × C

Now for, 6 (t + 12) = 114

First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:

6 × t + 6 × 12 = 114

6t + 72 = 114

6t = 114 - 72

6t = 42

t = (42/6) = 7

Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

To learn more about Distributive property, click:

brainly.com/question/5637942

#SPJ2

Which shape is the base of the pyramid shown below?
A triangle
B square

Answers

B square
hope that helps!

Answer:

B. it's a square pyramid so the base is a square.

Step-by-step explanation:

If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer​

Answers

Use the pic and solve the COS x-sin x/COS x+ sin x part

comment if there's something u don't understand

The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

tanx = 3/4        (x is an acute angle)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex]  ….(1)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex]  …(2)  

Divide (1) ÷ (2)

(cosx-sinx)/(cosx+sinx)  = (1/3)/(7/3) = 1/7

Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

Please help me with this ASAP ASAP please please help

Answers

Answer:

Step-by-step explanation:

Base perimeter: 4 x 2 x π = 8π

LA = 8π x 6 = 48π

Base area = 4^2π = 16π

SA = 16π x 2 + 48π = 80π

V= 16π x 6 = 96π

A scale drawing used for the model of a building is 1 inch = 150 feet. How tall is the building if the scale model is 6 inches tall?

Answers

Answer:

900

Step-by-step explanation:

1 inch/150 feet x 6 inch/x feet

cross multiply

1x=900

Find the slope of each line (no links I’ll report)

Answers

Answer:

Slope = ⁵/7

Step-by-step explanation:

Slope (m) = change in y / change in x

Using two points on the graph, (-4, -4) and (3, 1),

Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7

Slope (m) of the line = 5/7

In rectangle ABCD,If EC=13 find BD

Answers

Answer:

[tex]BD = 26\\[/tex]

Step-by-step explanation:

Given

[tex]EC = 13[/tex]

Required

Find [tex]BD[/tex]

In the given rectangle.

AC and BD are the diagonals.

This implies that:

[tex]AC = BD[/tex]

AC is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

So:

[tex]AC = EC + EC[/tex]

[tex]AC = 13+13[/tex]

[tex]AC = 26[/tex]

Recall that: [tex]AC = BD[/tex]

[tex]BD = 26\\[/tex]

Elijah bought a new car for $25,000. He paid
$5,000 up front and then $600 per month. How
many months will it take Elijah to pay off the car?

Answers

Answer: 6 days too be exact

Step-by-step explanation:

Answer:

33.333 months

Step-by-step explanation:

25,000-5,000=20,000

20,000/600=33.333

If he payed $5,000 upfront, the he only has $20,000 remaining to pay. If he is paying $600 a month then you divide the $20,000 by the $600 to 33.333 months. Hope this helps

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