Assume that adults have IQ scores that are normally distributed with a mean of and a standard deviation . Find the probability that a randomly selected adult has an IQ less than . The probability that a randomly selected adult has an IQ less than is

Answer:

[tex]x=37.4[/tex]

Step-by-step explanation:

In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).

Therefore, we have the following equation:

[tex]\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}[/tex]

Answer:

u = 143º

Step-by-step explanation:

Sum of angles in a triangle is 180

The unknown angle IN the triangle

x + 90 + 53 = 180

x + 143 = 180

x = 37º

x and u are supplementary angle which total 180

u + 37 = 180

u = 143º

Answer:

B. 3 to 2

Step-by-step explanation:

I calculated it logically

The ratio of the frequency of G to C is 1.5. So, option b is correct.

Frequency of a wave is defined as the number of oscillations completed by the wave in one second.

Here,

The frequency of note G, f(G) = 392 Hz

The frequency of note C, f(C) = 262 Hz

The ratio of the frequency of G to C, r = frequency of G/frequency of C

r = f(G)/f(C)

r = 392/262

r = 1.496 approximately r = 1.5

Hence,

The ratio of the frequency of G to C is 1.5

To learn more about frequency, click:

https://brainly.com/question/30333783

#SPJ7

Answer:

the pre-image and the image are congruent

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Part A) The independent variable is the hours that Tiya mows her neighbor's lawn, and we can denote that with x. It's the variable that isn't affected by other factors. The dependent variable is the amount of money Tiya earns, which we can denote with y. The dependent variable is the variable that is affected by other factors. The amount of money Tiya makes depends on how many hours she works.

Part B) As stated in part A, x is the hours and y is the money earned. The ordered pairs are in (x, y) form, with x being the hours and y being the money earned. For example, if Tiya worked one hour, x would be 1. As she earns 7 dollars per hour, she would earn 7 dollars (1*7), which is y. Therefore, one ordered pair could be (1, 7). Two hours would give Tiya 14 dollars, so we have another pair of (2, 14). Three hours would give Tiya 21 dollars, so we have (3, 21). We can do that for any numbers.

Part C) With every hour, Tiya earns 7 dollars. In order to find y, which is the amount of money totally earned, we multiply x by 7 (7 dollars per hour). Therefore, y = 7x.

The variables are:

And the proportional relation that relates them is:

y = $7*X

The only information that we know is that Tiya earns $7 per hour, so the only variables that we can use are money and time.

The independent variable will be time, because she can decide how much time can she work. The dependent variable is money, because how much she earns depends on how many hours she works.

The ordered pairs are of the form (number of hours, money).

Some examples for this case are:

We define the variables.

Because she wins $7 per hour, the proportional equation will be:

y = $7*x

If you want to learn more about proportional equations, you can read:

https://brainly.com/question/12242745

Answer:

2/20

Step-by-step explanation:

since,there are 20 whole number and if u put 2 random number the,

probability(P)=favorable outcome/possible outcome

so p=2/20

Thank You

Answer:

19 km east

Step-by-step explanation:

By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement

Answer:

19 km, East

Step-by-step explanation:

I hope you get it right

Answer:

30,290,000 people

Step-by-step explanation:

The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000

23,300,000/100 = 233,000 = 1%

233,000 x 30 = 6,990,000

23,300,000 = 6,990,000 = 30,290,000

Answer:

125

Step-by-step explanation:

Formula Simple interest:

P x r x t

Answer:

n = 9

Step-by-step explanation:

Method 1(Algebra) :

3 + n = 12

3 - 3 + n = 12 - 3

n = 9

Method 2:

3 + n = 12

Move 3 to the other side of the equation.

n = 12 - 3

n = 9

Answer:

3^3 x 3.14

9 x 3.14 = 28.26

28.26  x 2 = 56.52

2 x 3.14 x 3 = 18.84

18.84 x 10 = 188.4

Now lets add all given areas:

56.52 + 188.4 = 244.92 m^2 for question 1

4 x 3.14 x 12^2

4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2

14^2 x 3.14

196 x 3.14 = 615.44

3.14 x 14 x 33 = 1450.68

1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think

Answer:

2:7

Step-by-step explanation:

10:35 can also be written as 2:7

Thenks and mark me brainliest :))

Answer:

1

Step-by-step explanation:

Trust

Answer:

205891132094649

Answer:

517.2

Step-by-step explanation:

It has sides you're not seeing so don't forget those.

You need to find the area of the front, back, two sides, and bottom

Front & back:

6*5.2* 1/2

31.2/2 = 15.6 for each

Sides:

27*6 = 162 each

Bottom:

6*27 = 162

162+162+162+15.6+15.6= final answer

Answer: B

Step-by-step explanation:

First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2

Answer:

6

Step-by-step explanation:

The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.

So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.

For the second one, the first quartile is 8 and the third is 17.

To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.

Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)

1. Base presents the whole number

❤️#CARRYONLEARNING ❤️

Answer:

x=5/8+1/9

x=53/72

......

Answer:

53/72 you didn't give me the answer choices but this is the exact form of this equation

Answer:

[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is:

[tex]a(t) = 8t - 6[/tex]

Velocity:

[tex]v(t) = \int a(t) dt = \int (8t - 6) dt = \frac{8t^2}{2} - 6t + K = 4t^2 - 6t + K[/tex]

In which the constant of integration K is the initial velocity, which is v(0). So

[tex]v(t) = 4t^2 - 6t + v(0)[/tex]

Position:

[tex]s(t) = \int v(t) dt = \int (4t^2 - 6t + v(0)) dt = \frac{4t^3}{3} - \frac{6t^2}{2} + v(0)t + K = \frac{4t^3}{3} - 3t^2 + v(0)t + K[/tex]

The initial position is s(0) = 2. So

[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]

Answer:3.8c+3.5b+2.9s=total cost 19.38$

Step-by-step explanation:

Answer:

A line parallel has the same slope, so -3

The slope of the line that is parallel to line f is -3.

The given line f has a slope of -3.

We need to find the slope of the line that is parallel to line f.

The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as [tex]m_{1}[/tex], [tex]m_{2}[/tex] then we have [tex]m_{1}=m_{2}[/tex].

So, the slope of the parallel line=-3

Therefore, the slope of the line that is parallel to line f is -3.

To learn more about the slope of parallel lines visit:

https://brainly.com/question/11265736.

#SPJ5

Answer:

it is 32.

I know this because it was in my last year syllabus

Answer:

n

Step-by-step explanation:

s

Answer:

0.34

Step-by-step explanation:

it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.

Answer:

The answer is .34

When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.

Answer:

K 1 k'1

J2 j'5

L,0 l'5

Step-by-step explanation:

Answer:

[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]3[/tex]

Step-by-step explanation:

[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]\int _0^{\pi }\sin \left(x\right)dx+\int _{\pi }^{\frac{3\pi }{2}}-\sin \left(x\right)dx[/tex] = [tex]2+1[/tex] = [tex]3[/tex]