a sample of final exam scores is normally distributed with a mean equal to 25 and a variance equal to 16.

what percentage of scores are between 21 and 29?

Answers

Answer 1

Answer:

The answer is "0.6827".

Step-by-step explanation:

[tex]\bold{X \to N(\mu = 25, \sigma^2 = 16)}[/tex]

[tex]\to P(21 < X < 29) = P(\frac {21-25}{4} < \frac{X- \mu}{\sigma}< \frac{29-25}{4})[/tex]  

                              [tex]= P(-1 < Z< 1)\\\\= P(Z> -1)-P(Z>1)\\\\= 1-P(Z< -1)-P(Z>1)\\\\= 1-P(Z> 1)-P(Z>1)\\\\= 1- 2 \times P(Z>1)\\\\=1-2 \times 0.15866 \\\\ = 1- 0.31732\\\\=0.6827[/tex]


Related Questions

Find the value of the following in its simplest form.
2/5 divided by 4





Write your answer as a fraction in the form: 1/3

Answers

Answer: 1/10

Explanation:
2/5 as a decimal is .4
.4 divided by 4 is 0.1
0.1 as a fraction is 1/10



not sure tho lol sorry if i’m wrong

Will mark the brainliest boys✅

Answers

Answer: 1

Step-by-step explanation:

Id hari bought a watch of Rs 525 with 15% discount then what is the selling price of the watch after discount?​

Answers

Step-by-step explanation:

Cost price of the watch = $525

Discount percentage = 15%

So selling price = 525 - 15% of 525

= 15/100 x 525 = 262.5

Selling price = 525 - 262.5 = $262.5

Selling price = $262.5

What is the 2/6 equal to

Answers

Answer:

2/6 equals 0.3333333333333 and many more threes

Step-by-step explanation:

2/6 = 1/3 or .33. ;)

Please help I’ll Mark brainliest

Answers

Answer:

y=9/2x-5

Step-by-step explanation:

I used desmos and messed around, but I guarantee that this is correct

WILL GIVE BRAINLIEST!!!! if you show your work...

Answers

Answer:

(x² + 7x + 6) ÷ (x² + 2x + 1)

This should be in the form of a fraction, I just don't know how to format it that way on here.

Step-by-step explanation:

Since your denominators are equal on both fractions, you just need to subtract your numerators.

3x² + 9x + 12 - (2x² + 2x + 6)

When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.

So this:

2x² + 2x + 6

Will become this:

2x² - 2x - 6

This is how it will look:

3x² + 9x + 12 - 2x² - 2x - 6

Now all you have to do is collect the like terms.

3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²

This is how your numerator should look so far:

x² + 9x + 12 - 2x - 6

Now we move on to the next like terms.

9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x

This is how your numerator should look so far:

x² + 7x + 12 - 6

Now we move on to the last set of like terms.

12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6

This is how your numerator should be now:

x² + 7x + 6

Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).

You are done! I hope this was clear and you understand :)

factorise x^2 - 3x + 2​

Answers

(X-2)(x-1) is the equation factored

Answer:

(x - 1)(x - 2)

Step-by-step explanation:

x² - 3x + 2

x² - x - 2x + 2

x(x - 1) - 2(x - 1)

(x - 1)(x - 2)

-TheUnknownScientist

7+2d < -3d + 8 pls help me solve this question

Answers

Answer:

d < 0.2.

Step-by-step explanation:

7+2d < -3d + 8

2d + 3d < 8 - 7

5d < 1

d < 0.2.

Meliza wanted to do some shopping on iTunes. She bought one movie for $6.99 and then by 10 songs. Releases total iPhones cost was $21.99. How much does each song cost? Write your answer in a complete sentence

Answers

Answer:

1.5 for each song.

Step-by-step explanation:

subtract $6.99 by $21.99 = 15 divided by 10 = 1.5

The difference between 7 and X.

Answers

Answer:

6

Step-by-step explanation: yuh

imjp im srry

Answer:

7 is is a constant term and x is a variable

Step-by-step explanation:

Hope you got it.

If you are an expert in your field, the purpose of your presentation will remain the same for all types of presentations.

True
False

Answers

Answer: False I'm pretty sure

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

If you are an expert in your field, the purpose of your presentation will have to be changed, it can't be same for all types of presentations.

What is the equation of the line through the origin and (7, 2)?
A. y = 2x
O B. y = 7/2 x
C. y = 2/7 x
D. y = 7x

Answers

C. y = 2/7 x

When x = 7, y = 2

(2) = (2/7)(7)

2 = 2

The height of the TEXAM building is 636
feet. A flagpole extends from the building at
a point one-sixth of the distance from the
ground to the roof. How many yards from
the ground is the flagpole mounted?

Answers

Answer:

Step-by-step explanation:

First convert 636 feet to yards. That is 212 yards. If the flagpole is 1/6 of the distance from the ground to the roof, it is 1/6 of the height of the building, or

1/6(212) which is 35 1/3 yards off the ground. Remember that the word "of" means to multiply.

How much would a bicycle cost if it were marked down 15% from its original price of $289

Answers

Answer:

$260.65

Step-by-step explanation:

189/100=1.89

1.89x15=28.35

289-28.35=260.65

Have a good day:)

Answer:

$245.65

Step-by-step explanation:

1. Determine how much is being spent.

- You are paying for only 85% of the bike since it is discounted by 15%.

2. Multiply 0.85 and 289.

- If you are only paying for 85% of the bike, that is what needs to be found.

Mila had 2.5 gallons of sweet tea to share with her 7 classmates. How many gallons of sweet tea does each person get?

Answers

Answer:

0.36 gallon

Step-by-step explanation:

Mila has 2.5 gallons of sweet tea to share with her 7 classmates

Therefore the amount of tea in which each person will get can be calculated as follows.

= 2.5/7

= 0.36 gallons

Hence each classmate will get 0.36 gallon of sweet tea

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

3/16

Step-by-step explanation:

(3/7)/4=3/16

HELP ME!!
Large balloons are sold in packages of 12. Select the expressions that can represent the total number of balloons in p packages of large balloons.
A. 12 – p
B. 12 × p
C. p + 12
D. p ÷ 12
E. 12p

Answers

Answer:

B

jwjsjshsdhdhdhdhshdjjddjdj

Answer:

the answer is 12p

Step-by-step explanation:

Amelia has 120 ten-dollar bills and 75 twenty-dollar bills. What is the ratio of ten-dollar bills to twenty-dollar bills?
• Do not compare the money values.
• Simplify your answer.
• Enter your answer as a fraction.
Provide your answer below:
3
E FEEDBACK
MORE INSTRUCTION
SUBMIT
< Previous
Next

Answers

Answer:

12/3.6 Because you divide 120 by 10 and you get 12 then you divide 75 by twenty and get 3.6 I think hope this helps

1. If the discriminant of a quadratic equation is zero, what do you know about the type and number of roots of the quadratic equation?

A. The quadratic equation has one real number root.

B. The quadratic equation has one imaginary and one real number root.

C. The quadratic equation has two imaginary number roots.

D. The quadratic equation has two distinct real number roots.

Answers

Answer:

C

Step-by-step explanation:

Using the concept of the discriminant of a quadratic equation, the correct option is:

A. The quadratic equation has one real number root.

--------------------------

A quadratic equation is given by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

If the discriminant is positive, that is, [tex]\mathbf{\Delta > 0}[/tex], the equation has two distinct real roots.If the discriminant is zero, that is, [tex]\mathbf{\Delta = 0}[/tex], the equation has two equal real roots, which is also considered one real root.If the discriminant is negative, that is, [tex]\mathbf{\Delta < 0}[/tex], the square root of a negative number will be calculated, and thus, the equation has two imaginary number roots.In this question, [tex]\Delta = 0[/tex], thus, one real root, option A.

A similar problem is given at https://brainly.com/question/2288755

Can someone help me with this? Thanks!

Answers

Answer:

b=4

Step-by-step explanation:

4b+5=1+5b (subtract 4b on both sides to get the b's together)

-4b         -4b

5=1+5b-4b (subtract 1 from both sides)

-1  -1

4=1b (divide by 1)

b=4

Can someone help and explain and do the solution pls :(

Answers

Consider ∆JWZ and ∆JKZ

WZ~KJ (given)

/ WZJ~/ KJZ (given)

JZ~JZ (common)

Therefore,

∆JWZ~∆JKZ by SAS congruence rule.

JW~ZK by CPCT.

What is the range of the function y = x2? all real numbers x ≥ 0 y ≥ 0

Answers

Answer:

Step-by-step explanation:

Todos los reales

FAST 100 POINTS Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold. 208 + 10x = 36x How many purses must she sell in order to break even? 5 6 7 8

Answers

Answer:

Required Answer:-First write the given equation

[tex]\qquad\quad {:}\leadsto\sf 208+10x=36x [/tex]

interchange both sides

[tex]\qquad\quad {:}\leadsto\sf 208=36x-10x [/tex]

[tex]\qquad\quad {:}\leadsto\sf 26x=208[/tex]

[tex]\qquad\quad {:}\leadsto\sf x={\dfrac{208}{26}}[/tex]

[tex]\qquad\quad {:}\leadsto\sf x=6 [/tex]

Hence correct answer is 6 purses

Answer:

6

Step-by-step explanation:

i think

Tanner collected 360 cans and bottles while fundraising for his baseball team. This was 40% of what Reggie collected. How many cans and bottles did Reggie collect? (Hint: Use Part = Percent x Whole or use a tape diagram)

Answers

Answer: the answer is 504!

Step-by-step explanation:

360*0.40=144

so they said 40% reggie collected main mor than 40% collected so you need to do add like 360+144=504

what is the weight of the bird in grams on the scale below? ​

Answers

Since we know that the other side is 110 grams, you’ll need to subtract the 20 grams from each side so that you would get that the bird equals to 90 grams.

So this is what it will turn out like 110-20=90

Anna is working at a fast food restaurant and made $45.00 for 6 hours. Allison is working at a retail store and made $50.75 for 7 hours.
If both girls worked for 10 hours, which girl would make more money and how much would she make?

Answers

Answer:

anna would make more money; she would make $75

Step-by-step explanation:

Answer:

anna 75.00

Step-by-step explanation:

5 Practice
Question 10a
A rectangle is 18 feet long and 14 feet wide.
The area of the rectangle is
square feet.
The solution is
O Search
How do I solve this prob

Answers

Answer:

Given - A rectangle of length 18 feet and wide 14 feet

To find - Area

Solution -

Area of rectangle = Length * Breadth

=

[tex]18 \times 14[/tex]

[tex]252[/tex] square feet

18. A store sells two different kinds of rulers, plastic and wood. The receipts show that they have sold 35 total rulers today. The plastic rulers cost $2 each and the wood rulers cost $3 each. $82 worth of rulers were sold today. How many of each type of ruler were sold?

Answers

Answer:

12 wooden rulers

23 plastic rulers

Step-by-step explanation:

Total rulers sold - 35

Total profit - $82

1 wooden ruler - $3

1 plastic ruler - $2

$3 x 12 = $36

$2 x 23 = $46

$46 + $36 = $82

12 + 23 = 35 rulers

The store has sold 12 wooden rulers and 23 plastic rulers today.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Let, The number of plastic rulers be denoted by 'P' and the number of wooden rulers is denoted by 'W'.

Given, They have sold 35 total rulers today.

Therefore,

P + W = 35...(i)

Also given, $82 worth of rulers were sold today.

Therefore,

2P + 3W = 82...(ii)

Multiplying the eqn(i) by 2 and subtracting from eqn(ii) we get,

W = 12 and P + 12 = 35 hence P = 23.

So, they sold 12 wooden rulers and 23 plastic rulers.

learn more about linear equations here :

https://brainly.com/question/29739212

#SPJ5

A. 5
B. 7
C. 31
D. 11

Answers

Elebjddndhddjdjdo djsndnd dkdnd skdj djdnd skdndn sndjdbd

Answer:

the answer is five by using the formula for the area of a trapezoid you have to add and subtract like terms...... blah blah blah... at the end you divide both sides by _8 and there u have 5 ur welcome lol

50 points please help :(

Answers

[tex] \frac{(y - 1) {}^{2} }{9 } - \frac{( {x - 2)}^{2} }{100} = 1[/tex]

[tex] \frac{(y { - 1)}^{2} }{ {3}^{2} } - \frac{ {(x - 2)}^{2} }{ {100}^{2} } = 1[/tex]

[tex]( \frac{y - 1}{3} {)}^{2} - ( \frac{x - 2}{10 } {)}^{2} = 1[/tex]

Answer: 5  38 7

the reason is because add and multiply the check with division while also using radious

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