Scores on a test are normally distributed with a mean of 68.2 and a standard deviation of 10.4. Estimate the probability that among 75 randomly selscted students, at least 20 of them score greater that 78.

Answers

Answer 1
Answer: First, find the probability of scoring higher than 78. Scores are normally distributed, so you have

\mathbb P(X>78)=\mathbb P\left((X-68.2)/(10.4)>(78-68.2)/(10.4)\right)\approx\mathbb P(Z>0.9423)\approx0.173

Now, the event that any given student scores higher than 78 follows a binomial distribution. Here you have 75 total students (so n=75) with success probability p=0.173.

So the probability of getting 20 students that fit the criterion is

\mathbb P(Y=20)=\dbinom{75}{20}p^(20)(1-p)^(75-20)\approx0.0134

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The quotient of x and 4

Find the relative extrema of f(x) = 1+8x − 3x^2

Answers

f(x)=1+8x-3x²
1)we have to calculate the first derived
f´(x)=8-6x
2) we have to equalizate the first derived to "0", and find out the value of "x".
8-6x=0
-6x=-8
x=-8/-6=4/3
3)we have to calculate the second derived
f´´(X)=-6<0  ⇒ at x=4/3 we have a maximum.
4) we find the value of "y"
f(4/3)=1+8(4/3)-3(4/3)²=1+(32/3)-(48/9)=57/9

Therefore:
at (4/3 , 57/9) have a maximum

Kelly and Daniel surveyed 6 of their friends to find the number of pets in each of their households. They recorded the results from each home in a list. 4, 1, 2, 1, 0, 1 What is the mean absolute deviation of this data set? Enter your answer in the box.

Answers

Answer:

The mean absolute deviation is 1

Step-by-step equation =

Take all of the numbers and add them together.

4+1+2+1+0+1= 9

Then divide by how many numbers there are. In this word problem its 6.

Divide 9 by 6.

9 ÷ 6 = 1.5

So 1.5 would be our mean.

To find the mean absolute deviation subtract our mean and our original numbers.

1.5 - 4 = 2.5

1.5 - 1 = 0.5

1.5 - 2 = -0.5

1.5 - 1 = 0.5

1.5 - 0 = 1.5

1.5 - 1 = 0.5

Add all of those numbers together.

2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6

Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative

Divide by the amount of numbers you added.

6 ÷ 6 = 1

So the mean absolute deviation is 1

I also took the test that had 10 questions and got a 100

I'm pretty late to answer but hope this helps for others in the future

I learned this like a week or less ago so my explanation might not make the most sense.

Answer:

67

Step-by-step explanation:

Choose the equation of the horizontal line that passes through the point (-2,-1). A.) y = -1

B.) y = -2

C.) x = -2

D.) x = -1

Answers

Answer:

  A.)  y = -1

Step-by-step explanation:

The equation of a horizontal line is ...

  y = constant

To make that line go through the point (x, y) = (-2, -1), the constant must match the y-coordinate of the point: -1.

  y = -1

12 less than one-eleventh of some number, w"

Answers

The required number is 132.

It is required to find the number.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

According to given question we have,

Let the number be x.

1/11w - 12

1/11w-12=0

Add 12 both sides we get,

1/11w-12+12=0+12

1/11w=12

w = 132

Therefore, the required number is 132.

Learn more about arithmetic here:

brainly.com/question/214001

#SPJ2

Let w be the number.

1/11w - 12

1/11w-12=0

1/11w-12+12=0+12

1/11w=12

1/11w÷1/11=12÷1/11

w = 132


Therefore, the equation would be 1/11w - 12 and the value of w is 132.

0.0259 in scientific notation

Answers

The number in exponential notation for the product of plural consisting only of Unity (Cyfra at the construction site of Unity 1.9 ) and decimal parts and plural 10 raised to do the appropriate Powers .
0,02 59
<----|
* 100 = 10²

0,0259 = 2,59* 10⁻²
........................................
5,5820
5,5820*10⁰

........................................
0,009 73
<------|
*1000 = 10³

0,00973 = 9,73*10⁻³
.........................................
8 56
  |------>
   : 100 = 10²
856 = 8,56 *10²
.........................................
0,0007 2
<-------|
* 10 000 = 10⁴

7,2 * 10⁻⁴
....................................
0,001 216
<------|
* 1000 = 10³
1,216 * 10⁻³




Kim checked 20 markers. 7 of them were working. What percent of here markers were not working?

Answers

Answer:

30%

Step-by-step explanation:

Answer:

65%

Step-by-step explanation: