approximately 60% of mathematics students do their homework on time. in a class of 100 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? answer choices rounded to the nearest whole number

Answers

Answer 1

The mean of distribution will be 60, standard deviation will be 5 and variance will be 24

Given,

The total number of students (n)= 100

The probability of students, completing their homework on time (p)= 60%

= 60 / 100

= 0.6

According to the binomial distribution,

mean = np

= 100 × 0.6

= 60.

Variance = np× (1 - p)

= 100 × 0.6 × 0.4

= 24

Standard deviation = [tex]\sqrt{variance}[/tex]

= [tex]\sqrt{24}[/tex]

= 4.89 or 5

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Related Questions

Suppose that the relationship between price, P, and quantity, Q, is given by the equation Q = 140-4P.
Which of the following equations correctly represents solving Q = 140-4P for P?
OP=140-Q
OP=35-4Q
OP=140-4Q
OP=140+Q
OP=35-10

Answers

Answer:

In 1864, Sherman succeeded Grant as the Union commander in the Western Theater. He led the capture of the strategic city of Atlanta, a military success that contributed to the re-election of President Abraham Lincoln.

Step-by-step explanation:

for each integer $n$ greater than $1$, let $f(n)$ be the number of solutions of the equation $\sin x

Answers

The value   [tex]\displaystyle \sum^{2007}_{n = 2} F(n)[/tex] is 2016532.

What is an integer?

The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions. On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer. The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

Integer examples include: -1, -12, 6, and 15.

Zero is not an integer that can be positive or negative. There is no (+ or -) sign on zero, making it a neutral number.

F(2) = 3

We learn that for the majority of the graphs by examining different graphs.

F(n) = n+1

3+4+5+5+7+8+9+9+··········+2008

= (1+2+3+4+5+·····+2008)-3-501

= [tex]\frac{(2008) \times( 2009)}{2} -504[/tex]

= 2016532

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Hannah can spend up to $40 on snacks and drinks at the movie theater. A snack costs $5 and a drink costs $3.50.

Use for the number of snacks
Use for the number of drinks
Which inequality represents this situation?

Answers

Answer:

5s + 3.50d < 40

Step-by-step explanation:

if you were to total up the costs of a snack and drink together you'll end up with $8.50

-multiply $8.50 until you reach $40 mark

i.e 8.50×2(means 2 of each item) = $17

8.50×3 = $25.5

8.50×4 = $34

8.50×5= $42.5

-if you look at it, the calculation for 5, the pricing is now over the budget therefore the answer is then 5s + 3.50d < 40 because she can only spend up to $34 at most


One diagonal of a rhombus is three times as long as the other diagonal. If the area of the rhombus is 54 square millimeters, what are the lengths of the diagonals?

Answers

Answer:

Assume one diagonal of 2x and other of x inches. and sides of length =L inches.

Area of rhombus = 2*2x*x/2=2x^2 = 81 x=9/sqrt.2 and 2x=9*sqrt 2.

Diagonals are x=6.365 inch 2x=12.73 inch check area =12.73*6.365= 81.026 sq.inch.

Step-by-step explanation:

Solve the equation below for y:

6x – 3y = 36


A. y = 2x − 12

B. y = 12 - 2x

C. y = 1/2x + 6

D. y = 6 - 1/2x

tyy<3

Answers

The answer is y=2x-12

the distribution of iq (intelligence quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15.according to the standard deviation rule, % of people have an iq between 55 and 145. do not round.

Answers

According to the standard deviation rule, 99.7% of people have an IQ between 55 and 145.

How to use the Empirical Rule in statistics?

The standard deviation rule which is the empirical rule in statistics tells us that for distributions that have the normal shape, approximately 99.7% of the observations will fall within 3 standard deviations of the mean.

Now, In this question the mean is 100, and the standard deviation is 15. Thus, we can say that approximately 99.7% of the observations (IQ scores) fall between 100 − (3 * 15) and 100 + (3 * 15) or between 55 and 145.

Now, approximately 100% − 99.7% = 0.3% of the observations fall outside this interval. Since the normal shape is symmetric, approximately 0.15% of the observations fall above 145.

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verbal expression for 7 to the third power

Answers

The answer is " 7 to the power 3rd ".

We translate the algebraic expression 7³ into a verbal expression. The given expression has a base number of 7 raised to the power of 3 . This means is that 7 is multiplied by itself 3 times. So we should write " 7 to the power 3rd "

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Which expression is equivalent to (a^8)^4

Answers

Answer:

Brainliest pls

Step-by-step explanation:

a^32

seventy-four thousand,
ninety-nine

Answers

Answer:

I think you're looking for 74,099

Use a calculator to approximate cot(5) to two decimal places. (Enter a number.)

Answers

The approximation of the trigonometry ratio cot(5) is 11.43

How to approximate the trigonometry ratio?

The trigonometry ratio expression is given as

cot(5)

In trigonometry ratio, we have the following equation

cot(x) = 1/tan(x)

This means that x = 5

Substitute 15 for x in the equation cot(x) = 1/tan(x)

So, we have

cot(5) = 1/tan(5)

Using a calculator, we have:

cot(5) = 1/0.0875

Evaluate the quotient

So, we have

cot(5) = 11.4286

Approximate the above result

So, we have

cot(5) = 11.43

Hence, the approximation of the trigonometry ratio cot(5) is 11.43

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Which choice correctly explains the expression?

5 × 9

Responses

5 groups with 9 items per group
5 groups with 9 items per group

5 groups with 5 items per group
5 groups with 5 items per group

9 groups with 9 items per group
9 groups with 9 items per group
Skip to navigation

Answers

Answer:

The first choice

Step-by-step explanation:

Since we're looking at 5 × 9, we'd need to group them into 5 groups of 9, or 9 groups of 5. In this case, the first choice is the correct answer.

Mark the other guy with brainliest

Are the ratios 1:2 and 8:16 equivalent?

Answers

Answer:

Yes, the ratios are equivalent.

Step-by-step explanation:


Gabriel started training with the track team five weeks ago. During the first week, he ran 0.5 mile at each practice. The next three weeks he ran 0.75 mile, 1 mile, and 1.25 miles at each practice. If he continues this pattern, how many miles will he be running at each practice during the 7 th week?

Answers

If Gabriel continues the pattern of running that he has done on the past four weeks, the miles he will run on the 7th week is 2 miles.

How many miles will Gabriel run?

Gabriel's pattern of running is such that he increases the number of miles by 0.25 miles every week.

This is why he ran 0.5 miles, and then 0.75 miles and then 1 mile.

If he keeps going like this, one the 7th week, he will run:

5th week = 1.5 miles

6th week = 1.75 miles

7th week = 2 miles

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What is 6(3x-17) + 2x -18 = 9(4x+7) -9 + !7

Answers

The Simplification of the expression 6(3x-17) + 2x -18 = 9(4x+7) -9 + 17 and value for the unknown x, is approximately 11.94

Simplification

6(3x-17) + 2x -18 = 9(4x+7) -9 + 17

open parenthesis

18x - 102 + 2x - 18 = 36x + 63 - 9 + 17

collect like terms

18x + 2x - 36x = 63 - 9 + 17 + 102 + 18

- 16x = 191

divide both sides by - 16

x = 191 / - 16

x = 11.9375

Approximately,

x = 11.94

Therefore, the Simplification of the expression 6(3x-17) + 2x -18 = 9(4x+7) -9 + 17 and value for the unknown x, is approximately 11.94

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Simplify. 9 + 18 ÷ 3

Answers

The answer is 15……………..

9+18÷3

Simplify

9+18 ÷3 to 6

9+6=15

What is the remainder when 17^77 is divided by 35?

Answers

The remainder when 17^(77) is divided by 35 is 12

How can the remainder of dividing a large number be found?

The number being divided = 17^(77)

The number by which 17^(77) is divided = 35

Using a graphing calculator as follows, we have;

Enter the value 17^(77) in the calculator

Enter the value 35 in the calculator

Press the divide by '÷' button

Use the 'Display as proper fraction' button on the calculator, to display the result as proper fraction, [tex] a \frac{b}{c} [/tex]

Use the left arrow button to move to the fraction part of the result displayed as proper fraction

The remainder is the numerator of the fraction part of the proper fraction, which is 12

[tex] \frac{17^{77}}{35} = V+ \frac{12}{35} [/tex]

Where V is a very large number quotient

From the above fraction, we have;

17⁷⁷ ÷ 35 = V + 12/35

Expressing the above result using long division gives;

__V___ (Quotient)

35 (17⁷⁷)

____

12 (Remainder)

The remainder is therefore; 12

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how do I solve this?

Answers

bro what are you taking

is |-10| greater than
|6|?

Answers

Answer:

Yes

Step-by-step explanation:

The value of |-10| is,

→ |-10| = 10

The value of |6| is,

→ |6| = 6

Now the greater value is,

→ 10 > 6

→ |-10| > |6|

Yeah, |-10| greater than |6|.

Answer:

No, it's not

Step-by-step explanation:

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

Module 2: Lesson 1
Spark Your Learning: Which is the Better Deal/
1. Which best describes the difference between a rebate and a discount, and how is the tax
rate used to find the total cost? (Fill in the oval)

O For a rebate the tax, the tax is calculated on the full price, and the customer receives the
rebate later. For a discount, the tax is calculated on the reduced price after the discount is
applied.

O For a rebate the tax, the tax is calculated on the reduced price after the discount is
applied. For a discount, the tax is calculated on the full price, and the customer receives the
rebate later.

Answers

The difference between a tax rebate and a discount is For a rebate the tax, the tax is calculated on the full price, and the customer receives the rebate later. For a discount, the tax is calculated on the reduced price after the discount is applied.

How do tax rebates and discounts differ?

A tax rebate is also known as a tax refund and the purpose of it is to pay back a tax payer when they paid more taxes than they were meant to pay. It is therefore calculated on the full amount of tax.

This is different from a tax discount which works by using the discount to reduce the amount of tax owed and then you can pay off the discounted amount as tax.

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A box of mass 20 kg is being pushed up a slope of 15 m long with a

constant speed of 30 m/s as shown in the figure below. What is the

gravitational potential energy? (g= 9.8m/s²)

Answers

The gravitational potential energy is 2940 Joules

What is potential energy?

The formula for gravitational potential energy is expressed as;

Gravitational Potential energy = m g h

Where;

m is the massg is the acceleration due to gravityh is the height of the object

Substitute the values into the formula;

⇒ 20 × 9. 8 × 15

Multiply through

⇒ 2940 Joules

Thus, the gravitational potential energy is 2940 Joules

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Emma has $12.60 worth of nickels and quarters. She has 4 times as many quarters as
nickels. How many quarters does she have?

Answers

On solving linear equation 1.05x=12.60, we get that Emma has 48 quarters.

What is linear equation in one variable?

Let x be any variable then ax + b = c  b is an linear equation in one variable.

where a, b, c are constants  then we get solution for x as

x=(b-c)/a

Given as Emma has 4 times as many as quarters as nickels

Let the no of nickels be x

Then as there are 4 times as many as quarters as nickels

then no quarters be = 4x

Value of one nickel = 5 cents= $0.05

Value of one quarter = 25 cents = $0.25

Therefore x nickels and 4x quarters worth is = x(.05)+4x(.25)

Total worth of given nickels and quarters = $12.60

Then 0.05x+x = 12.60

This is an linear equation in one variable

1.05x=12.60

x= 12.60/1.05

x=12

Therefore ,Emma has 12 nickels

and 4(12)= 48 quarters

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I really need help, I might get a grade detention

Answers

Answer:

Step-by-step explanatio

from up to down

12

30

10

Write a declaration for a variable hits that can hold the number of times a baseball player has hit the ball in a baseball game.

Answers

A declaration of a hits variable that can store how many times a baseball player has hit the ball during a game of baseball int hits;

How do you declare a variable value?

A programme declares a variable whenever it states that it requires one. Place declaration statements for our brief programmes in-between the main method's two curly braces. The variable's name and data type are provided in the declaration. It could also provide a specific value that has to be entered into the variable.

When a variable is given a value for the first time, it is said to be initialized. The symbol = stands in for the assignment operator. Instead of writing int I and then 9, you can establish a variable for addition and then give it a value in the same line by writing int I = 9.

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What percent is represented by the diagram below?

Alternative text
A. 13%
B. 65%
C. 130%
D. 650%

Answers

Answer:

I think it's will be C

Step-by-step explanation:

C I psomes

Answer: C 130%

Step-by-step explanation:

Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

Answers

the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3) are (1/2, 1, 3/2).

What do you understand by equidistant points?

Equidistant is a synonym for "equally distant," which is the state of two points being at the same distance from one another. Equidistant implies at the same distance from a location. The term "equidistant" is commonly used in reference to circles, perpendicular bisectors, parallel lines, and other geometrical concepts .Equidistant refers to the relationship between two or more objects or points that are situated at the same distance from one another. A point is considered to be equidistant from two other points when they are both located at the same distance from it. In the middle of the two starting points is a midway. The distance formula or the halfway formula can be used to demonstrate this.

Equation of sphere passes through origin is given by

x2 + y2 + z2 + ax + by+ cz =0

Given, it also passes through (1,0,0), (0,2,0),(0,0,3)

1+ a = 0,                                a = -1

4+2b =0,                             b=-2

And, 9+3c = 0,                       c= -3

The equation of the sphere becomes x2 +y2+ z2 -x -2y -3z = 0

Comparing with x2 +y2+ z2+ 2gx +2fy +2kz +C =0

Therefore the point that is equidistant from all the given points will be the centre of the sphere passing through all these points.

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simplify each expression 9(7k-2)+6k

Answers

Answer:

= 69k - 18

Step-by-step explanation:

9(7k-2) + 6k

= (9*7k + 9*-2) + 6k

= (63k - 18) + 6k

= 63k + 6k - 18

= 69k - 18

Jordan knits a square blanket that has an area of 1,500 square inches. What is the approximate length of each side of the blanket?
O 16 inches
O 27 inches
O 39 inches
O 42 inches

Answers

39 inches is the answer if you still need it

Hana has some blue paint. She wants to lighten the shade, so she mixes in 1 cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of white paint at a time. After adding 4 cups, she decides the color is too light.

A. Explain in words how much paint Hana should have added initially to get the shade she wants.

Enter your answer.
B. Model With Mathematics Represent your answer to part A with one or more inequalities.

Enter your answer.
C. Hana decides that she likes the shades of blue that appear in between adding 1 cup and 4 cups of white paint. How can you represent the number of cups of white paint that yield the shades Hana prefers?

Enter your answer.

Answers

Answer:

e, so she mixes in 1 cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of white paint at a time. After adding 4 cups, she decides the color is too light.

A. Explain in words how much paint Hana should have added initially to get the shade she wants.

Enter your answer.

B. Mod

Step-by-step explanation:

Marshall pours 1/2 gallon of lemonade into 8 glasses. He pours the same amount of lemonade into each glass. How much lemonade, in gallons, does Marshall pour into each glass?

Answers

So what you do is divide 1/2 and 8 to get .0625 that is how much lemonade he put into each glass

find the LCM of 2 and 3

Answers

Answer:

6

Step-by-step explanation:

If you multiply both together once that will be the lowest it gets

Answer: 6

Step-by-step explanation: compare the multiplication tables ig

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