A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Determine the mean and standard deviation of this data.

Answers

Answer 1

Answer:

i dont understand either

Step-by-step explanation:

Answer 2

A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Then, mean of the data is equal to 97 and standard deviation is equal to 13.358.

What is normal distribution?

Normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given that 50% of the data lies below 97, implies that median of the data is equal to 97. In a normal distribution, mean = median = mode, therefore, mean = 97.

Given the mean and value at 70th percentile, we can find the standard deviation.

Using the z score - percentile table, we find that the z score corresponding to the given percentile.

z score corresponding to 70th percentile = 0.524

[tex]0.524 = \frac{x - mean}{standard\ deviation}\\ \\0.524 = \frac{104 - 97}{standard\ deviation} \\\\standard\ deviation = \frac{7}{0.524} = 13.359[/tex]

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Related Questions

Giovanni arrived at a railway station in Venice at 06 45

Write this time using the 12-hour clock.

Answers

Answer: 6:45AM

Step-by-step explanation:

Just add AM or PM

1. Find the length of the missing side. Leave your answer in simplest radical form.

Answers

Answer:

[tex] \sqrt{4 ^{2} + 3 ^{2} } [/tex]

=root 25 which is 5

PLEASE HELP


2. Calculate the slant height for the given cone. Round to the nearest tenth
(1 point)
Diameter = 18 cm
Height = 7 cm
O 11.2 cm
O 12.5 cm
O 14.8 cm
O 11.4 cm

Answers

Answer:

11.4 cm

Step-by-step explanation:

Using pythagoras theorem,

The length of a rectangular plot of land is 2m more than its breadth. If it's area is 120m^2, find its length and breadth.​

Answers

Answer:

length is 40 and breadth is 20

Step-by-step explanation:

120 =2( l + b )

120 = 2( 2x +x )

120= 2 x 3x

120 =6x

120/6 = x

20 = x

length=2x = 2 x 20 = 40

breadth= x = 20.

hope it helps u

7x+5 and 12x *
A: Yes, they are equivalent
B: No, they're not equivalent

Answers

B. They are not equivalent

Answer:

No they are not equivalent.

Step-by-step explanation:

7x + 5 stays the same. You cannot combine them since they aren't like terms.

12x isnt 7x + 5. Therefore no they are not equivalent.

12/14 divided by 7/6 as a fraction

Answers

Answer:

[tex] \frac{12}{14} \div \frac{7}{6} [/tex]

[tex] \frac{12}{14} \times \frac{6}{7} [/tex]

[tex] \frac{6}{7} \times \frac{6}{7} [/tex]

[tex] \frac{36}{49} [/tex]

The result of 12/14 divided by 7/6 as a fraction is 36/49.

To divide the fraction 12/14 by 7/6, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction 'a/b' is 'b/a'.

So, the division can be written as:

(12/14) ÷ (7/6) = (12/14) * (6/7)

Now, we can simplify the multiplication:

(12/14) * (6/7) = (12 * 6) / (14 * 7)

Calculate the numerator and denominator:

72 / 98

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:

72 ÷ 2 / 98 ÷ 2 = 36 / 49

Therefore, the result of 12/14 divided by 7/6 as a fraction is 36/49.

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Which part of the expression 2(3+4)is the sum of two terms

Answers

Answer:

Step-by-step explanation:

You have only two parts to consider

2  and

3 + 4

Notice the wording "Sum of" That means there has to be a plus sign somewhere in the answer.

Answer: 3 + 4

0.018 + (3.1 × 10-3)
Simplified

Answers

Answer:

28.018

and that's the answer.

Step-by-step explanation:

0.018 + 31 - 3

31.018 - 3

which gives 28.018 as the final result

HELP ASAP!! PLEASE ANSWER!

Answers

Answer:

factor out 5 out of 20x+55

and the answer is 5(4x+11)

Ok I’m being annoying ik but I seriously need help with these three I’ve tried but I really can’t figure these out

Answers

Answer:

24. a = 69

Step-by-step explanation:

a = 2c - 1

a = 2(35) - 1

a = 70 - 1

a = 69

Gina deposits $150 at the start of each year into a college savings account that pays 2% simple interest at the end of each year. She does not deposit the interest she earn each year. How much total interest will Gina Earn on her deposit through the end of the fifth year?

Answers

Answer:

$45

Step-by-step explanation:

Given the following :

Amount deposited in first year = $150

Interest rate (r) = 2% = 0.02

First year:

Simple Interest = principal * rate * time

= $150 * 0.02 = $3

2nd year:

Principal = $150 * 2 = $300

($300 * 0.02) = $6

3rd year:

Principal = $150 * 3 = $450

($450 * 0.02) = $9

4th year:

Principal = $150 * 4 = $600

(600 * 0.02) = $12

5th year:

Principal = $150 * 5 = $750

($750 * 0.02) = $15

Total interest earned :

$(3 + 6 + 9 + 12 + 15)

= $45

Find the slope and the y intercept for the equation below 2x+y=7

Answers

slope= -2 y-intercept =7

Step-by-step explanation:

y=-2x+7

m=-2 c=7

Which must be true in order for the relationship to be correct? and and and.

Answers

Answer:

?

Step-by-step explanation:

Answer:

is D

Step-by-step explanation:

correct on edge

if n^3=x and n^4=20x , where n>0, what is the value of x?

Answers

Step-by-step explanation:

∠2 and ∠7 are alternate exterior angles so they are equal.

So you can create the equation

40x-48 = 20x+52   Subtract 20x from both sides. Add 48 to both sides.

20x = 100

x = 5

if you need  m∠2 Substtute 5 for x in 20x+52  

20(5) + 52 = 100 +52   m∠2= 152°

m∠7  40(5) - 48 =  200-48  m∠7= 152°

The value of the variable x is given as 8000.

What are the rules of exponents?

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given exponential expressions are as below,

n⁴ = 20x

And, n³ = x

Then as per the rule of exponent, the following it can be written as,

n³ = x

⇒ n × n³ = n × x

⇒ n⁴ = nx

⇒ 20x = nx

⇒ n = 20

Then, x = 20³ = 8000

Hence, the value of x is found to be 8000.

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factorize x square -5x+6

Answers

Answer:

(x-2)(x-3)

Step-by-step explanation:

x1 = 2

x2 = 3

easy

HELP PLEASEE 100 POINTS Solve for x and y. Show all work on the whiteboard so you have the option to receive partial credit. Then enter your answers below.

Answers

Answer:

51°; 143°

Step-by-step explanation:

#1 on the leftmBCD = (mAD - mBD)/2x = (178° - 76°)/2 = 102°/2 = 51°#2 on the righty = (mKL + mJM)/2y = (156° + 130°)/2 = 286°/2 = 143°

Can you uh please help-

Answers

my awnser would be B sorry if wrong...

Q4. Find the values of the unknown angles

Answers

Answer:

56

Step-by-step explanation:

The sum of the exterior angles is 360 degrees, so:

50+75+x+x+x+67=360

192+3x=360

3x=168

x=56

What percent is 8 out of 32?

Answers

Answer:

25%

Step-by-step explanation:

8 divided by 32

Hope this helps!

If not I am sorry.

I need help with the second one plz help now 50 points

Answers

Answer:

If the temp is higher so is the amount of people on the beach

Step-by-step explanation:

What is the surface area of this right triangular prism?

Right triangular prism. The height of the prism is labeled 15 in. The base of the prism is a triangle with sides labeled 17 in., 17 in., ad 30 in. There is a dashed line from the vertex of the triangle perpendicular to the 30 in. side that is labeled 8 in.

50 POINTS!!!

Answers

Answer:

1800 in^3

Step-by-step explanation:

Jennifer is buying cupcakes for a party. 12
cupcakes is $8.40. What is the unit rate for
each cupcake?
I reallyyyyy need help I I have no idea about unit rates

Answers

Answer:

24

Step-by-step explanation:

Which division problem does the number line best illustrate

Answers

Answer:

(A) 2÷1/5=10

You start off with 2

It is divided into 10 parts

they all include division

2÷_=10

2÷1/10=20

2÷1/5=10

Step-by-step explanation:

hope this helps :D

A group of friends were working on a student film that had a budget of $800. They spent all their budget on props and equipment. They used 83% of their budget on equipment. How much money did they spend on props?

Answers

Answer:

$136

Step-by-step explanation:

100% - 83% = 17%

the 17% is on props.

so, take 17/100 and multiply with $800, which you will get 136.

so the amount of money spent on props is $136

In which of the following categories do the three families spend about the same dollar amount each month (within $25 of each other)? Select all that apply.


- Other Needs

- Housing

- Taxes

- Insurance

- Childcare

- Food

- Transportation

Can someone pls answer!!!

Answers

The category in which the families spend about the same dollar amount each month are food and transport.

What is a circle graph?

A circle graph is used to show information in a circle. The circle is divided into slices which represent a numerical proportion.

Amount spent on food by family A = (14/100) x 5400= $756

Amount spent on food by family B = 16/100) X 4675 = $748

Amount spent on food by family C = (11/100) X6675 = $734.25

Amount spent on transport by family A = (11/100) x 5400= $600.75

Amount spent on transportby family B = 13/100) X 4675 = $607.75

Amount spent ontransport by family C = (9/100) X6675 = $594

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An artist makes necklaces. She packs each necklace in a small jewelry box that is134inches by 214 inches by 34 inch. A department store ordered 270 necklaces. The artist plans to ship the necklaces to the department store using flat-rate shipping boxes from the post office. Which of the flat-rate boxes should she use to minimize her shipping cost?

Answers

Answer:

Small flat rate box

Step-by-step explanation:

Since she sells necklaces we can assume that the question is missing spaces and the actual dimensions are 1 3/4inch by 2 1/4 inch by 3/4 inch. This being the case she can use the Small flat rate box from the local post office for her necklaces. This is the smallest flat rate packaging available aside from envelopes, but since the artist needs a 3dimensional box the envelopes would not work. This small flat rate box has the following dimensions  8 11⁄16″ x 5 7⁄16″ x 1 3⁄4″ it also can hold up to 70lbs which far exceeds the weight of the necklaces.

What are the solutions of x2 10x 16 = 0? write the equation in standard form. factor the polynomial. apply the zero product property. solve the resulting equations. x2 10x 16 = 0 (x 2)(x 8) = 0 x 2 = 0 or x 8 = 0 x = and x =

Answers

The values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

What is the factor of polynomial?

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The given polynomial equation in standard form is,

[tex]x^2 +10x +16 = 0[/tex]

Now factor the polynomial.

[tex]x^2 +10x +16 = 0\\(x 2)(x 8) = 0[/tex]

Apply the zero product property and find out the factors as,

[tex]x +2 = 0, x +8 = 0[/tex]

Solve the resulting equations by equating both the factors one by one to the zero and find the roots.

[tex]x +2 = 0\\x=-2\\[/tex]

Similarly, for x+8=0,

[tex]x +8 = 0\\x=-8[/tex]

Thus, the values of x or the roots of the equation are,

[tex]x = -2, x =-8[/tex]

Hence, the values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

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Answer:

-2 and -8

Step-by-step explanation:

got my answer from the person above.

I’ll give brainliest hurry pls

All questions please. I need help

Answers

Answer:

7) -4

8) -3

9) 2

10) 3

11) 1

12) 0

Step-by-step explanation:

The form your equations are in is slope intercept form which is the equation...

y = mx + b

m = slope; b = y-intercept

Y-intercept is defined as the point where a line or curve crosses the y-axis of a graph.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

People of different ages were asked the question "Do you listen to audiobooks?" The frequency table displays the percentage of "yes" responses for different age groups. 13 to 17, 8 percent; 18 to 25, 15 percent; 26 to 35, 23 percent; 36 to 45, 45 percent; 46 and over, 48 percent. Would it be appropriate to display the data with a pie chart? Yes, because the data are grouped into categories. Yes, because the data can be displayed by a relative frequency compared with the whole. No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole. No, because the data categories are too broad.

Answers

No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.

The correct option is C.

What is pie chart?

The “ pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numericical value.

Given

People of different ages were asked the question "Do you listen to audiobooks?

" The frequency table displays the percentage of "yes" responses for different age groups. 13 to 17, 8 percent; 18 to 25, 15 percent; 26 to 35, 23 percent; 36 to 45, 45 percent; 46 and over, 48 percent.

Considering that the data displays the percentage of time spent by each age group, not a relative frequency compared to the whole, a pie chart would not be appropriate.

Pie charts are used to indicate relative frequency of each group, when the whole combines to 100%.In this problem, the sum of the percentages is not 100%, hence, it does not indicate relative frequency, and the third option is correct.

Hence, No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.

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Answer:

C.

Step-by-step explanation:

on edge2022

help please!!!!!!!! i need this before midnight

Answers

Answer:

20 min

Step-by-step explanation:

, Answer:

20 minutes

Step-by-step explanation:

Daniel got to the park at 11:20 and stayed there 'till 11:40, and then started to go home. He got home at 12:00 which means that it took him 20 minutes to get home

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