find the measure of angle P

Complete question is;

Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule to determine the following.

​(a) What percentage of people has an IQ score between 87 and 113​?

​(b) What percentage of people has an IQ score less than 74 or greater than 126​? ​

(c) What percentage of people has an IQ score greater than 139​?

Answer:

A) 68% of the people had an IQ score between 87 and 113

B) 5% of the people had IQ scores less than 74 and greater than 126.

C) 0.15% had an IQ score greater than 139

Step-by-step explanation:

We are given;

Mean; x¯ = 100

Standard deviation; σ = 13

According to the empirical rule in statistics;

>> 68% of the data lies within one standard deviation of the mean

>> 95% of the data lies within two standard deviations of the mean

>> 99.7% of the data lies within three standard deviations

A) We want to find the percentage of people with an IQ score between 87 and 113.

Within one standard deviation, we have;

x¯ ± σ

>> (100 - 13), (100 + 13)

>> (87, 113) which is the range we are looking for.

Thus, 68% of the people had an IQ score between 87 and 113

B) we want to find percentage of people has an IQ score less than 74 or greater than 126.

Let's first find those who had between 74 and 126.

Let's use two standard deviations within the mean.

x¯ ± 2σ

>> (100 - (2×13)), (100 + (2×13))

>> (74, 126) which is the range we are looking for.

So percentage that have IQ scores between 74 and 126 is 95%

Thus;

Percentage of those who had less than 74 and greater than 126 is;

P = 1 - 95%

P = 5%

C) we want to find the percentage of people that had an IQ score greater than 139.

Let's use the z-score formula;

z = (x¯ - μ)/σ

z = (139 - 100)/13

z = 39/13

z = 3

This means it is 3 standard deviations above the mean.

Thus;

Since it's one side outside the mean, then;

Percentage of people with an IQ score greater than 139 = (1 - 99.7%)/2 = 0.3%/2 = 0.15%

Answer:

R+O(I think)

Step-by-step explanation:

The odds of drawing that particular card is 1/7. The odds of drawing a red card are 5/7 and a blue card, 2/7. (This is just my answer)

Answer:

Red 1

B OR O

R AND O

Red 3

B OR O

B'

E'

Red 5

E'

R OR E

R AND O

Step-by-step explanation:

Answer:

h(t) = -16t^2+125t

We need to find h(t) when t = 4 s:

h(4) = -16*4^2+125*4

h(4) = 244 ft

The height of the object after 4 seconds is 244 feet.

Answer:

150°

Step-by-step explanation:

35 + 120 + 55 = 210

360 - 210 = 150

Answer:

hi

Step-by-step explanation:

According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function. The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.

DOES IT HELP?!

Answer: D

Step-by-step explanation: Got it right

Answer:

74 degrees

The angles are adjacent, since they have a common side (adjacent basically means right next to each other).

Step-by-step explanation:

180 - 106 = 74

Both angles are supplementary, since they add up to 180 (make a straight line together).

Answer:

Integers are any whole number negative or positive

Step-by-step explanation:

Step-by-step explanation:

= 2³ + x ³ + 3(2)²x + 3(2)x²

= 8 + x³ + 12x + 6x²

= x³ + 6 x² + 12 x + 8

Answer:

(2)

Step-by-step explanation:

Let f(x) = y → f-¹(x) = f(y) = x, f(y) is the inverse of f(x)

Thus,

=> -x³ - 9 = y

=> - y - 9 = x³

=> (-y - 9)^(1/3) = x

=> f(y) = x

Inverse is (-y-9)^(1/3)

Replacing the variable, inverse is (-x-9)^(1/3)

Option (2)

Answer:

No

No

Yes

Yes

No

Step-by-step explanation:

Answer:

Bottom left

Step-by-step explanation:

Dots are on the inside and outside of the line as well as being on the line

Answer:

Step-by-step explanation:

a=F/m

a=18/4.5

a=4 m/s/s

hope this helped! :D

Step-by-step explanation:

Continuation of the answer

4x=180 degrees

X=180/4=45 degrees.

Answer:

Step-by-step explanation:

Together:

Dien needs  x seconds to eat pizza

Jane needs  x - 5 seconds to eat pizza

In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza

Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds

Answer:

10 years

step-by-step explanation:

First, divide 7.5 by 100, you should get 0.075, then multiply 0.075 by 2000, you should get 150, thats  how much interest he gains each year, now subtract 2000 from 3500 to see how much he needs to get to 3500, you should get 1500, now divide 1500 by 150, you should get 10, which is how many years he will need to get to 3500 from 2000  

Answer: 1675 Ft. = Distance from

fire to the windmill.

Step-by-step explanation:

tan8 = 140/X1.

X1 = 140/tan8 = 996.2 Ft.

tan3 = 140/(996+X2)

996+X2 = 140/tan3 = 2671

X2 = 2671-996 = 1675 Ft. = Distance from

fire to windmill.

Answer:

a = 19

Step-by-step explanation:

-2(a + 3) = -4a + 32

-2a - 6 = -4a +32

+2a        +2a      

-6 = -2a + 32

-32         -32

-38 = -2a

divide by -2

a = 19

Answer:

a=19

Step-by-step explanation:

-2(a+3) = -4a + 32

-2a - 6 = -4a + 32(Group like terms)

-2a+4a=32+6

2a=38(Divide both sides by 2)

a=19

Answer:

1/4

Step-by-step explanation:

I think that the expression is correct

(1/2)^3 x 2 = 1/8 x 2 = 1/4

Answer:

Step-by-step explanation:

[tex]\frac{15}{1000} \times 100=1.5[/tex]

Answer:

make dot in the 2,2 8,2 and 5,7 and join the dots

Answer:

x= $ 7100 investment in first fund

10x+y=84600 substitute the value of x

10*7100+y=84600

y=84600-71000

y= $ 13600 investment in second fund.

Step-by-step explanation:

Answer

3.5 hours

Step-by-step explanation:

Let us represent

The time spent walking as x

The time spent riding as y

Jim began a 146​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 5 hours.

Hence:

x + y = 5.... Equation 1

x = 5 - y

If Jim walks at a rate of 4 miles per hour and rides at 40 miles per​ hour,

The formula for Distance = Speed × time. Hence,

4 × x + 40 × y = 146 miles

4x + 40y = 146.... Equation 2

We substitute 5 - y for x in Equation 2

4(5 - y) + 40y = 146

20 - 4y + 40y = 146

Subtract 20 from both sides

20 - 20 - 4y + 40y = 146 - 20

- 4y + 40y = 146 - 20

36y = 126

y = 126/36

y = 3.5 hours

Since the time he spent raiding his bicycle is represented by "y", the amount of time he spent on the bicycle is 3.5 hours      

I think this is right I had this question I think it was the same one I dont know tho

Answer:

Experiment.

Step-by-step explanation:

It helps you determine the effect of the medication in a controlled environment with variables and controls.

Answer:

x = -8

Step-by-step explanation:

-3x -6 = 18

-3x = 24

x = -8

what are the options?

Answer:

The answer is A

Step-by-step explanation:

Supplementary angles are angles which add up to 180°

∠1 and ∠3 add up to 180°, so they are supplementary.

Answer:

At 10 days, no line is above the '0' means no one is producing widgets at 10 days point. Since the y axis represents number of widgets produced, this means none of the plants have produced more than 0 widgets yet.