Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17. What percentage of people has an in score between 83 and 117

Answers

Answer 1

Answer:

To find the percentage of people with an IQ score between 83 and 117, we need to find the area under the bell-shaped curve between these two scores.

First, we need to standardize the scores by subtracting the mean from each score and dividing by the standard deviation.

For a score of 83:

Standardized score = (83 - 100) / 17 = -1

For a score of 117:Standardized score = (117 - 100) / 17 = 1

Now, we can find the area under the curve between these standardized scores using a standard normal distribution table or calculator.

Using a standard normal distribution table, we can find the area for a standardized score of -1 as 0.1587. This represents the percentage of people below a score of 83.

Similarly, the area for a standardized score of 1 is 0.8413, representing the percentage of people below a score of 117.

To find the area between these two scores, we subtract the area below 83 from the area below 117:

0.8413 - 0.1587 = 0.6826

So approximately 68.26% of people have an IQ score between 83 and 117.

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Water boils at different temperatures at different elevations. The boiling temperature of water is 212 degrees * F sea level (0 feet ) but drops about 1.72 degrees * F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190 degrees F.

Answers

Answer:

The elevation when the boiling point of water is $190$ ° $F$ is 12790.70 feet

Step-by-step explanation:

Let every 1,000 feet of elevation be $x$ . Hence, we can write

$T = 212$ $- 1.72x$

Where $T$ is the boiling temperature of water at different elevations

Now, to the determine the elevation when the boiling point of water is $190$ ° $F$ .

We will determine $x$ by putting $T = 190$ ° $F$ .

Hence,

$T = 212$ $- 1.72x$

$190$ $= 212$ $- 1.72x$

$190 - 212$ $= - 1.72x$

$- 22$ $= - 1.72x$

$22 = 1.72x\nx = (22)/(1.72) \nx = 12.79070$

Since $x$ represents every 1,000 feet of elevation, then the elevation when the boiling point of water is $190$ ° $F$

$12.79070$ × $1000\n$ $= 12790.70$ feet

Hence, the elevation when the boiling point of water is $190$ ° $F$ is 12790.70 feet

PLZZZ!!!!!! HELPA pillar candle is shaped like a cylinder with a radius of 1.5 inches. The candle holds 123 cubic inches of wax. How tall is the candle? Use 3.14 for pi. Round your answer to the nearest hundredth.
12.50 in
15.76 in
17.41 in
18.76 in

Answers

Answer: The correct option is (C) 17.41 in.

Step-by-step explanation: Given that a pillar candle is shaped like a cylinder with a radius of 1.5 inches and the candle holds 123 cubic inches of wax.

We are to find the height of the candle.

We know that the VOLUME of a cylinder with radius r units and height h units is given by

$V=\pi r^2h.$

For the given cylindrical candle, we have

radius, r = 1.5 inches

and

VOLUME, V = 123 cubic inches.

height, h = ?

We have

$V=\pi r^2h\n\n\Rightarrow 123=3.14* (1.5)^2* h\n\n\Rightarrow h=(123)/(3.14*2.25)\n\n\n\Rightarrow h=(123)/(7.065)\n\n\Rightarrow h=17.4097.$

Rounding to nearest hundredth, h = 17.41 in.

Thus, the Candle is 17.41 inches tall.

Option (C) is CORRECT.

17.41- The formula for the volume of a cylinder is pi radius squared times height. (i.e. the area of the base times the height). You have pi 1.5 squared times height =123. Then you square it so you have 2.25 pi h= 123. then you have 7.065h=123. The you do algebra and you get 17.409, and round it to 17.41.

A machinist can produce 114 parts in 6 mins.At this rate,how many parts can the machinist produce in 15 mins

Answers

$114\ parts\ in\ 6\ min\n\nx\ parts\ in\ 15\ min\n\nmaking\ proportion:\n114-6\nx-15\n\ncross\ multiplication\n\n114*15=6x\n\n1710=6x\ \ \ \ | divide\ by\ 6\n\nx=285\n\n285\ parts\ can\ be\ produced\ in\ 15min$

Answer:

thx for points

Step-by-step explanation:

hehe

Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of money in dollars D in his bank is given by D = 3w + 60 where w is the number of weeks he has saved 3 dollars. His sister Lana makes a table of reasonable values for w. Lana selects 42 as a value for w. What is the corresponding table entry for D?(TEACHER HINT: They are asking what D will be if w is 42.)

A.54
B.105
C.186
D. 402

I Don't Get Algebra At All ._.

Answers

The answer is 186. You replace 42 where (W) is then 3X42 gives you 126. Then add 60 and get 186. D=186

The answer is C. What you do is 3 times 42 (W=42) then that will be 126 then just add 60 and D=186

Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice

Answers

The statements that are true about the graph of the function are

The function in vertex form is f(x) = (x - 4)^2 - 11.
The y-intercept of the function is (0,5).
The function crosses the x-axis twice

Vertex and intercept of a function

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the function crosses the x-axis twice

Learn more on vertex and intercepts here: brainly.com/question/12778829

Answer:

A, D, E

Step-by-step explanation:

What is the radius of a circle with circumference 22m? Instructions: Solve Each Problem. Round to the nearest tenth, If necessary. Use 3.14

Answers

The radius of a circle: r = ?
C = 22 m
C = 2 r π
r = C /( 2 π )
r = 22 / ( 2 · 3.14 )
r = 22 / 6.28
Answer:
r = 3.5 m

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Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 17. What percentage of people has an in score between 83 and 117

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Vertex and intercept of a function

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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17. What percentage of people has an in score between 83 and 117