Suppose that scores on a particular test are normally distributed with a mean of 110 and a standard deviation of 20. What is the minimum score needed to be in the top 2% of the scores on the test

Answers

Answer 1

Answer:

The minimum score needed to be in the top 2% of the scores on the test

is  n = 10,00,000

Step-by-step explanation:

Step(i):-

Mean of the Population = 110

Standard deviation of the Population = 20

The estimated error = 2% = 0.02

Step(ii):-

The estimated error is determined by

                        [tex]E = \frac{S.D}{\sqrt{n} }[/tex]

                       [tex]0.02 = \frac{20}{\sqrt{n} }[/tex]

               ⇒ [tex]\sqrt{n} = \frac{20}{0.02} = 1000[/tex]

Squaring on both sides, we get

                   n = 10,00,000

The minimum score needed to be in the top 2% of the scores on the test

is  n = 10,00,000


Related Questions

There are 1/2 as many eighth graders in the choir as seventh graders. There are 48 eight graders. Write and solve an equation to find the number of seventh graders in the choir. (This problem needs to be written as an equation..not just 48x2) Thanks

Answers

Answer:

Step-by-step explanation:

Let x represent the number of seventh graders in the choir:

48=x/2

x=96

1 + 1 = ?
I am a Collage Student and i have ZERO idea what this is.

Answers

Answer: 2
Explanation: common sense math lol

HeEeEEeLpPpp <<3<3<3<3

Answers

Answer:

h = 13

Step-by-step explanation:

20 - 7 = 13

. 90 decimeters = _______________ millimeters

Answers

It is 9000 millimeters

find the multiplicative inverse of 7 in mod 9

Answers

Answer:

-1/7

Step-by-step explanation:

The inverse of 7 is simply the opposite

4x – 4y = -16
please help find the y value

Answers

Answer: y=x+4

Step-by-step explanation:

if you need to find the y

we divide the equation by 4

x-y=-4

add y on both sides

y=x+4

What is 1/2 divided by 1/4 in the simplest form?

Answers

Answer:

2

Step-by-step explanation:

1/2 divided by 1/4 rewritten is 1/2 times 4/1 equels 4/2. In its simplest form 2.

1/2 divided by 1/4 in the simplest form is 2.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given that the expression 1/2 divided by 1/4.

simplifying,

1/2 divided by 1/4  = 1/2 ÷ 1/4

Rearranging into the multiplication form,

1/2 divided by 1/4 = 4/2

1/2 divided by 1/4 = 2

Therefore, the simplest form of 1/2 divided by 1/4 is 2.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

5) Every hour, your sister can make the same number of socks. If in the 3rd hour of work, she has
made 6 pairs of socks, and by the 5th hour, she has made 10 pairs of socks, what is the rate at which
she made the socks?

Answers

Answer: 2 pair of sock/hour

Explanation:

She can make 6 pairs in 3 hour.

3 hour = 6 pair
=> 1 hour = 6/3
=> 1 hour = 2 pair

Answer: 2

Because if shes in the 3rd hour and made six pairs count up to the 5th hour and there you go you have 2!

Multiplication sentences:

3÷5=2       2+3=5

Hope this helps!    

What is the value of x when y=6

Answers

Answer:

When x = 12, y = 4.

Step-by-step explanation:

If

y

x

we can write that

y

=

k

x

where k is a constant of proportionality.

Using the values given:

6

=

18

k

k

=

1

3

y

=

1

3

12

=

4

Triangle ABC has the following vertices:
A(-8,7)
B(0, -5)
C(9,1)
Is triangle ABC a right triangle, and why?

Answers

Answer:

Yes because AB ⊥ BC

Step-by-step explanation:

Answer: Yes because AB ⊥ BC

Step-by-step explanation: Khan Academy

PLEASE HELP I WILL MARK BRAINLIST TO WHOEVER ANSWERS FIRST !!
graph the line that represents the equation y=2/3x+1
I HAVE THE PICTURE OF THE GRAPH ABOVE !!

Answers

Answer:

Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.

Step-by-step explanation:

y = 2/3x + 1

Substitute different numbers for x, and find y:

You don't really want to work with fractions, so try to find a number that when multiplied by 2/3, gives you a whole number

x = 6

y = 2/3(6) + 1

y = 12/3 + 1

y = 4 + 1

y = 5

Point: (6, 5)

x = -6

y = 2/3(-6) + 1

y = -12/3 + 1

y = -4 + 1

y = -3

Point: (-6, -3)

Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.

A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost?

Answers

231,000 because that is what you get when you multiply 2,100 x 110 (per square foot)

What describes θ when an ellipse is created from an intersection of a plane and double-napped cone?

θ = α
θ = 90⁰
α < θ < 90⁰
0⁰ ≤ θ < α

Answers

Answer:

C: a < θ < 90%

Step-by-step explanation:

in hostel of 40 students there is food for 30 days if 20 more students join the hostel how long will the food last​

Answers

Answer:

The food will last for 20 days

Step-by-step explanation:

The equation of the inverse proportional is xy = k, where k is the constant of variation

∵ In a hostel of 40 students, there is food for 30 days

→ That means the food is the constant k and the number of days y

   varies inversely with the number of students x

∴ x = 40 and y = 30

xy = k

∴ 40 × 30 = k

1200 = k

∴ The equation of the inverse proportional is xy = 1200

∵ 20 more students join the hostel

→ That means the number of students increased by 20

∴ The number of students in the hostel = 40 + 20

The number of students in the hostel = 60

→ By using the equation above

∵ 60 × y = 1200

∴ 60y = 1200

→ Divide both sides by 60

y = 20

The food will last for 20 days

Angle A and B are supplementary angles. Angle A measures 45 degrees. What is the measurement of angle B?

Answers

Answer:

135

Step-by-step explanation:

Supplementary means both angles equal 180 degrees when combined

180 - 45 = 135

Complementary means both equal 9 degrees when combined

if u think connect the lines of S and it makes and 8 for 180 and C makes 9 for 90

The measurement of the angle B should be considered as the 135 when the Angle A is given.

Calculation of the measurement of angle B:

Since

Angle A and B are supplementary angles.

Angle A measures 45 degrees.

So we know that the sum of the supplementary angles is sum upto 180 degrees

So, it can be like

A + B = 180

45 + B = 180

B = 180 - 45

= 135 degrees

hence, The measurement of the angle B should be considered as the 135.

Learn more about an angle here: https://brainly.com/question/16616666

Victoria is an actuary for an insurance company. She recently compiled this table to help her determine health insurance premiums for the upcoming year. Consider the likeliness of each individual to have a need for health insurance. Order the individuals from least to greatest need for health insurance. Profile Description Probability of Visiting a Doctor for Injury or Illness This Year 18-year-old male athlete 16% 78-year-old male nonsmoker 53% 65-year-old female smoker 76% 26-year-old female nonsmoker 14% 45-year-old male smoker 39% 32-year-old female nonsmoker 20%

Answers

Answer:

Here is the order (considered % at the end to be a criteria)

26-year-old female nonsmoker 14% 18-year-old male athlete 16% 32-year-old female nonsmoker 20%45-year-old male smoker 39% 78-year-old male nonsmoker 53% 65-year-old female smoker 76%

Answer:

26

18

32

45

78

65

least to greatest

What is the Y and X in this problem?

Answers

Answer:

there is no problem

Step-by-step explanation:

Can’t see the problem.

If RSTU is a rhombus, find the measure of angle RUT.

Answers

Finding x:

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19                      [replacing the given values of the angles]

7x - 23 = 19                                [subtracting 3x from both sides]

7x = 42                                       [adding 23 on both sides]

x = 6                                           [dividing both sides by 7]

Finding ∠RUT:

We can see that:

∠RUT = ∠RUS + ∠TUS

Since we are given the values of ∠RUS and ∠TUS:

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

We know that x = 6:

∠RUT = 13(6)-  4

∠RUT = 74°

Please answer this thanks

Answers

Answer:

It's C! 75%

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

Just form the simple equation of 14/8=x/100

cross mulitply: 8x=1400

=> x=175

175-100(super important step)=75

75%

:) Tada your answer. Have a nice day

Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. a. What is the average number of cars in the system

Answers

Answer:

4 customers

Step-by-step explanation:

Given that:

Mean Arrival rate (λ) = 4 cars per hour

Service rate (u) = 5 cars per hour

Using the queuing formula :

The average number of cars in the system can be obtained using the relation :

Number of customers in the system (L)

Number of customers in queue = (Lq)

L = Lq + (λ/u)

Lq = λ^2 / u(u - λ)

Hence,

Lq = 4^2 / 5(5 - 4)

Lq = 16/ 5(1)

Lq = 16/ 5

Lq = 3.2

L = 3.2 + (4/5)

L = 3.2 + 0.8

L = 4

what is the difference of the fractions? 5/6 - 4/6

Answers

                                                       Answer

[tex]--------------------------------------------[/tex]

[tex]\frac{5}{6}-\frac{4}{6}[/tex] = [tex]\frac{1}{6}[/tex]

[tex]0.8333333333[/tex] - [tex]0.6666666667[/tex] = [tex]0.1666666666[/tex]

[tex]\frac{1}{6}[/tex] = [tex]0.1666666666[/tex]

[tex]It's[/tex]  [tex]\frac{1}{6}[/tex] [tex]because[/tex] [tex]5-4[/tex] = [tex]1[/tex]

[tex]and[/tex] [tex]the[/tex] [tex]denominator[/tex] [tex]is[/tex] [tex]the[/tex] [tex]same.[/tex]

[tex]So[/tex], [tex]it's[/tex]  [tex]\frac{1}{6}[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

2./10
To rationalize the denominator of
311
you should multiply the expression by which fraction?

Answers

Complete Question:

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer:

Multiply by [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex]

Required

To rationalize

To do this, we simply multiply the expression by the fraction of [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

This gives:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}[/tex]

[tex]\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}[/tex]

[tex]\frac{2\sqrt{110}}{3\sqrt{121}}[/tex]

Express [tex]\sqrt{121[/tex] as 11

[tex]\frac{2\sqrt{110}}{3*11}[/tex]

[tex]\frac{2\sqrt{110}}{33}[/tex]

Hence:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex] = [tex]\frac{2\sqrt{110}}{33}[/tex]

Ali took five Math tests during the semester and the mean of his test score was 85. If his mean after the first three was 83, What was the mean of his 4th and 5th tests

Answers

Answer:

88

Step-by-step explanation:

Mean of five test = 85

Sum of five tests = 85*5 = 425

Mean of first three test =83

Sum of first three test = 83 * 3 = 249

Sum of 4th and 5th test scores = 425 - 249

                                                   = 176

Mean of his 4th and 5th test = 176/2 = 88

Evaluate the expression 9 + (7 - 4)2 + 3.
06
O3
0 18
O 12

Answers

Answer is 18 because of order of operations you do parenthesis then multiply and add

Answer:

18

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiply/Divide (from left to right)

Add/Subtract (from left to right)

Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
cookies. Someone else brought 24 cookies. Let 'y' represent the total
number of cookies at the party. Show an equation in SLOPE-INTERCEPT
FORM that models this situation. Kendal brings 60 boxes to the party. How
many cookies in total were at the party?

Answers

Answer:

744 cookies

Step-by-step explanation:

PLZ MARK BRAINLIEST ON THE TOP RIGHT CLICK THE CROWN.

Which equation can be used in system of equations to solve for the unknown? CHECK ALL THAT APPLY
1) A=2
2) -6A+B=2
3) 3A-B+C=1
4) B=0
5) 9A-3B+C=1

Answers

Answer:

A and E

Step-by-step explanation:

edge 2021

Answer:

Option A and E are the correct answers.

Which recursive definition produces an arithmetic sequence where g(5) = 8 and g(10) = 10?

Answers

Answer:

gₙ = gₙ₋₁ + 0.4, with g₁ = 6.4

Step-by-step explanation:

The n-th term of an arithmetic sequence can be written as:

gₙ = g₁ + (n - 1)*d

Where g₁ is the first value, and d is the difference between any two consecutive terms of this sequence.

Then we have the equations:

g₅ = 8 = g₁ + (5 -1)*d

g₁₀ = 10 = g₁ + (10 - 1)*d

This is a system of equations, we can rewrite this as:

8 = g₁ + 4*d

10 = g₁ + 9*d

To solve this, the first step will be isolate one of the variables in one of the equations, i will isolate g₁ in the first equation:

g₁ = 8 - 4*d

Now we can replace this in the second equation to get:

10 = 8 - 4*d + 9*d

10 = 8 + 5*d

10 - 8 = 5*d

2 = 5*d

2/5 = d = 0.4

Now with this, we can find the value of g₁ by using the equation:

g1 = 8 - 4*d = 8 - 4*(2/5) = 8 - 8/5 = 6.4

Then the nth term of this sequence can be written as:

gₙ = 6.4 + (n - 1)*0.4

This relation also can be written as:

gₙ = gₙ₋₁ + d = gₙ₋₁ + 0.4, with g₁ = 6.4

Then the correct option is the second option.

What type of triangle is this?
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible

Answers

Answer:

HL

Step-by-step explanation:

In both triangle, hypotenuse and one leg is congruent. So, HL congruent

Find the perimeter of the following shapes to 1 d.p take r =3.14

Answers

Answer:

The perimeter is 19.7

Step-by-step explanation:

The question is not complete and there is no attachment. Nevertheless, we can make do with the given information.

we can picture that the shape is a circle and we are required to find the perimeter/circumference of the circular shape

Given

The radius r= 3.142

Step two:

the perimeter/circumference is expressed as

C=2πr

C= 2*3.142*3.142

C= 19.7

Which postulates can be used to prove congruence?

Answers

Answer:

SAS postulate.. is the answer

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