1
Select the correct answer from each drop-down menu.
A certain distribution has a mean value of 100 and a standard distribution of 15.
Assuming the values are distributed normally, 95% of values will fall between
and
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1Select The Correct Answer From Each Drop-down Menu.A Certain Distribution Has A Mean Value Of 100 And

Answers

Answer 1

Answer: 70, 130

Step-by-step explanation:

Answer 2

In the given normal distribution with a mean of 100 and standard distribution of 15, 95% of values will fall between 70 and 130 using the Empirical rule of 95%.

Step-by-step explanation:

A normal distribution with a mean of 100 and a standard distribution of 15 is given.

We will find where 95% of data fall in the given normal distribution.

What is the Empirical rule of 95%?

It states that in a normal distribution approximately 95% of observations fall within two standard deviations from the mean on both sides of the normal curve.

The mean in a normal distribution is the center of the normal curve.

The standard deviation in a normal distribution is the distance from the mean to the required point on either side.

We have,

Mean = 100

Standard deviation = 15

Applying the 95% rule we get,

On the right side of the normal curve

Mean + 2 x standard deviation = 100 + 2x 15 = 100 + 30 = 130.

On the left side of the normal curve,

Mean - 2 x standard deviation  = 100 - 2x15 = 100 - 30 = 70.

Thus, we see that by using the Empirical rule of 95%, 95% values will fall between 70 and 130.

Learn more about Normal distribution here:

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Related Questions

A landscaper is constructing a rectangular garden with an area of 120 square feet. He draws the garden on paper and represents the length as (x-3) and the width as (x-7). Find the length and the width of the garden.
Options:
1. 3.00 feet
2. 4.00 feet
3. 0.65 feet
4. 4.65 feet
5. 7.65 feet

Answers

I don’t no the answer sorry

Find the value of x round to the nearest tenth

Answers

Answer:

8.2

Step-by-step explanation:

sin^-1 (8.2/21) is 22.984 which is pretty close to 23

Using the GCF factor the given expression: 21xy + 14y

Answers

Answer:

7y(3x+2)

you take out the 7y from both sides


Please help thank you !

Answers

Answer:

1.) B

2.) A

3.) B

Step-by-step explanation:

Solve
3x + 7 = 1

please show full working out

Answers

Answer:

-2 is answer

plz plz plz plz mark me brainliest

Step-by-step explanation:

* 3x + 7 =1

or 3x = 1 - 7

or 3x = -6

or x = -6/3

or x = -2

look at pic 10 pts will mark brainilest

Answers

Answer:

x/4 = 14

Bottom right one

Step-by-step explanation:

x/4 = 14

Bottom right one

There were 4 total and each payed 13.

Answer:

A 4x=$13

Step-by-step explanation:

The component form of a vector is (-7.765,28.978) What is the direction angle for the vector measured counterclockwise from the positive x-axis?​

Answers

Answer:

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Step-by-step explanation:

Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)

Where:

[tex]x[/tex] - x-coordinate of the point P.

[tex]y[/tex] - y-coordinate of the point P.

Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:

[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]

[tex]\theta \approx 105.001^{\circ}[/tex]

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Angle the given vector makes with the positive x-axis when measured counterclockwise is required.

The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.

Vectors

The given vector is (-7.765,28.978)

The angle is found by the formula

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

Here,

y = 28.978

x = -7.765

Substituting the given values we get

[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]

So, the required angle is

[tex]180-75=105^{\circ}[/tex]

Learn more about vectors:

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PLEASE HELPPPP
Find the product or type
"impossible"
2
[3 1 -6
0
1]
[?]

Answers

Answer:

0

Step-by-step explanation:

(3 * 2) + (1 * -6) + (1 * 0)

  6      +     -6    +    0    = 0

What is the area of this triangle, in square units? Explain or show your reasoning.

Answers

Answer:

Half of the base multiple by the height

help..................................​

Answers

Answer:

20

Step-by-step explanation:

becauseit is just below 30

find the common ratio of the geometric sequence 20 40 80​

Answers

Answer:

2

Step-by-step explanation:

Solve for h: a = 1/2bh

h = A over 2b
h = A/b (1 /2)
h = 2Ab
h = 2A/b

Answers

Answer:

The answer is the last choice, h= 2a/b

Step-by-step explanation:

If you take the original equation, a=1/2bh, you can first divide each side of the equation by 1/2, this would give you 2a = bh.  Next you would divide each side of the equation by b to solve for h.  This would give you h= 2a/b, which is your final answer.

Find The sum of the first 10 terms 8,20,32,44

Answers

Answer:

S₁₀=620

Step-by-step explanation:

This is an arithmetic sequence with a common difference of d=12

The formula for an arithmetic series is Sₙ=(n/2)(a₁+aₙ) where aₙ is the nth term and a₁ is the first term.

We know that a₁=8 and d=12 where the 10th term would be a₁₀=8+(10-1)12=116.

Therefore, the sum of the first 10 terms of the arithmetic series is S₁₀=(10/2)(8+116)=(5)(124)=620

2.please I need help

Answers

9514 1404 393

Answer:

48°60°72°

Step-by-step explanation:

The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:

  4×12° : 5×12° : 6×12° = 48° : 60° : 72°

Angles 1 to 3 are 48°, 60°, 72°, respectively.

A clown weighs 60 lb more than a trapeze artist. The trapeze artist weighs two-thirds as much as the clown. How much does each weigh?

Answers

Answer:

Step-by-step explanation:

well if the clown weighs 60 lbs more than the trapeze artist...

and the trapeze artist is 2/3 the weight of the clown...

then the trapeze artist must weigh 120 lbs..

and the clown must weigh 180 lbs..

i hope this was correct lol

The following estimated regression equation was developed for a model involving two independent variables.

ŷ​ =40.7+8.63x1​+2.71x^2​

After x2 was dropped from the model, the least squares method was used to obtain an estimated regression equation involving only x1 as an independent variable.

ŷ= 42.0+9.01x1

Required:
a. Give an interpretation of the coefficient of x1 in both models.
b. Could multicollinearity explain why the coefficient of x1 differs in the two models? If so, how?

Answers

Answer:

(a): y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second

(b): Yes

Step-by-step explanation:

Given

[tex]\wedge y = 40.7 + 8.63x_1 +2.71x_1[/tex]

[tex]\wedge y = 42.0 + 9.01x_1[/tex]

Solving (a): An interpretation of x1 coefficient

We have the coefficients of x1 to be 8.63 and 9.01

Literally, the coefficient represents the average change of y-variable per unit increase of the dependent variable

Since the coefficients of x1 in both equations are positive, then that represents an increment on the y variable.

So, the interpretation is:

y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second

Solving (b): Multicollinearity

This could be the cause because x1 and x2 are related and as a result, x2 could take a part of the coefficient of x2

Convert 85 feet per day into miles per year.

Answers

Answer:

85 feet per day = 5.879846 miles per year.

Answer:

5.88 miles

Step-by-step explanation:

85 x 365 =31,025 feet per year

31025/5280 = 5.88 miles

no links and respond with an explanation please.

Answers

Answer:

2b+1j=?

Step-by-step explanation:

2b represent 2 granola bars

Calcula el área de un círculo con circunferencia de 37.68 unidades.

Answers

Answer:

Tu respuesta

Step-by-step explanation:

1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/

find the area of the shaded region of the large circle. give your answer to 1 decimal place.

Answers

Answer:

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

so the area of the circle is

[tex]8^{2} \pi[/tex] which equals 64pi

BUT we have the white circles so we need to find their areas and subtract it

THE WHITE CIRCLES:

diameter = 4 so radius = 2

[tex]\pi 2^{2}[/tex] which equals [tex]4\pi[/tex]

which you double since theres TWO white circles so = [tex]8\pi[/tex]

so 64[tex]\pi -8\pi =56\pi[/tex]

[tex]56\pi =175.00[/tex]

the wheel on the tv program wheel of fortune is first divided equally into 24 compartments with one labeled"lose a turn" find the probability that the wheel stops a "lose turn" for each of the following a.single spinb.two successive spins c. three successive spins (complete solution)​

Answers

Answer:

a) [tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.

b) [tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.

c) [tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

24 components on the wheel, one of which is "lose a turn"

This means that each time the wheel stops, there is a [tex]\frac{1}{24}[/tex] probability that it stops at lose a turn.

a.single spin

Only one spin, so:

[tex](\frac{1}{24})^1 = \frac{1}{24}[/tex]

[tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.

b.two successive spins

Two spins, so:

[tex](\frac{1}{24})^2 = \frac{1}{576}[/tex]

[tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.

c. three successive spins

Three spins, so:

[tex](\frac{1}{24})^3 = \frac{1}{13824}[/tex]

[tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.

Susanne is going to college and was informed that she will get a grant to pay for
her tuition. Which statement describes a grant?

Answers

Answer:

what are the options????

Please help me out on this!!

Answers

Answer:

12.68

Step-by-step explanation:

Find the measure of the angle indicated by the red arrow.

Answers


Let the remaining angle be x
X+75=180( being straight angle)
Or x=180-75
.’. X= 105 is the ans

Simplify.
2x120x20
0 4x²/5
4x" 5
2x "/10

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4x ^ 11 sqrt 5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4x^11 [tex]\sqrt{5}[/tex]

Step-by-step explanation:

You can simplify the 20 inside of the radical by finding its prime factors. 20 has 3 prime factors: 5, 2, and 2. Since the 2 occurs twice, we can cancel out those 2s in the 20 itself and put a singular 2 outside of the radical. It is essentially turning [tex]\sqrt{20}[/tex] into 2[tex]\sqrt{5}[/tex]. Since we now have simplified that 20, the entire equation is now 4x[tex]\sqrt{5x^2^0}[/tex]. We can root x^20 to get x^10, and [tex]\sqrt{5}[/tex] stays that way. The entire equation is now 4x[tex]\sqrt{5}[/tex]x^10, which can be simplified to [tex]4x^1^1\sqrt{5}[/tex].

Find the rate of change for the interval [5,15]

Answers

Left side goes up 5 right side goes up 7

The rate of change between 5,15 is 10

will give brainlyist helpppp
The average depth of the Arctic Ocean is approximately 1050 meters, and the average depth of the Indian Ocean is approximately 3900 meters. To the nearest tenth, how many times as great is the average depth of the Indian Ocean compared to the average depth of the Arctic Ocean?

A. 3.7
B. 3.1
C. 2.8
D. 2.2

Answers

Answer:

A. 3.7

Step-by-step explanation:

3900/1050  = 3.7

Answer:

3.7

Step-by-step explanation:

[tex]3900 \1050 = 3.7 \\ [/tex]

Would someone help ? Thank you ! :)

Answers

Answer:

Transitive Property of Congruence

Step-by-step explanation:

If angle 1 is = to angle 2 and angle 2 = angle 3, then angle 1 has to equal angle 3.

In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are:_____.
a. 14 and 255.
b. 255 and 14.
c. 13 and 240.
d. 14 and 240.

Answers

Answer:

d. 14 and 240.

Step-by-step explanation:

Given that

The regression model involving 14 independent variables and 255 observations

We need to find out the numerator and denominator freedom degrees

k = 14 regression variable

= n - k - 1

= 255 - 14 - 1

= 240 residuals

df=14,240

  Now The degrees of freedom for F -critical is

F_{k,n-k-1}=F_{14,240}

So, The df of the numerator is 14 and df of the denominator is 240

The attendance at twenty-five high school football games was: 250, 400, 350, 750, 200, 1000, 1200, 800, 600, 900,
400, 300, 500, 800, 650, 450, 550, 750, 350, 600, 1250, 1450, 1500, 800, and 950.
Select all the samples whose mean attendance is above the mean attendance of the population
250, 400, 350, 750, 200
1000, 1200, 800, 600, 900
400, 300, 500, 800, 650
450, 550, 750, 350, 600
1250, 1450, 1500, 800, 950

Answers

Answer:

B and d

Step-by-step explanation:

Brainliest pls.

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