An investment counselor calls with a hot stock tip. He believes that if the economy remains​ strong, the investment will result in a profit of ​$30,000. If the economy grows at a moderate​ pace, the investment will result in a profit of ​$10,000. ​However, if the economy goes into​ recession, the investment will result in a loss of ​$30,000. You contact an economist who believes there is a 20​% probability the economy will remain​ strong, a ​60% probability the economy will grow at a moderate​ pace, and a ​20% probability the economy will slip into recession. What is the expected profit from this​ investment?

Answer:

840cm² its 840cm²

Answer:

SA of the sphere is 1333.17 and SA of the circle is 333.29

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

We are given:

[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]

Distribute. Recall exponent properties;

[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]

Simplify:

[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

Answer:

I think that your answer would be D .

Answer:

get some more help I don't understand

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503

Answer:

0.8

Step-by-step explanation:

0.4*2=0.8

hope this helps.

Answer:

3. A = (0,-3)

    B = (4,-2)

   C = (-1,1)

4. A = (0,-6)

    B = (4,-5)

   C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

Answer:

3)A = (0,-3)

B = (4,-2)

C = (-1,1)

4)A = (0,-6)

B = (4,-5)

C = (-1,-2)

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

the distance is 5 points because it would take 5 points to get 7,8 from 7,3 !

Answer:

(7,5)

Step-by-step explanation

8 - 3 = 5 so (7,5)

Answer: you’re welcome

Step-by-step explanation:

The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of making free-throw is 70% = 70/100 = 0.7

Then, the probability of not making free-throw is 1 - 0.7 = 0.3.

The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.

So, this case belongs to the binomial distribution which can be written as,

ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.

Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,

P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²

Hence, the probability of getting exact 8 free-throws out of 10 is  ¹⁰C₈(0.8)⁸(0.3)².

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Step-by-step explanation: When finding the coordinates

of a given point, be very careful with your signs.

On the x-axis, left means negative and right means positive and

on the y-axis, down means negative, and up means positive.

So to find the coordinates for point A, we start at the origin,

which is the point (0, 0), and we move 2 units to the left and 4 units up.

So that's the point (-2, 4).

Remember to go left or right first, then up or down.

So for point B, we go 0 units to the left or right and 3 units down.

So that's the point (0, -3).

For point C, we move 4 units to th

right and 4 units down so tha's (4, -4).

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

Answer:

It's C. Ik it bc I'm in 7th and I learned bout it and yw

Step-by-step explanation:

Answer:

C: 3 times the diffrence of 62 and 42

*im in 9th IM NOT SURE THO LOL*

Step-by-step explanation:

Answer: 2000 hope this helps. Can u give me brainliest

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

Since there's a 9 before the 1 you would round up the 1,987 to 2,000

C is the answer i just did this answer and get it correct

Answer:

Step-by-step explanation:

[2,∞)

Answer:

it's 2

Step-by-step explanation:

Answer:

Alfred can create the password in 9,360,000 possible ways

Step-by-step explanation:

Given the data in the questions;

Password of five characters must contain; three letters and 2 digits

[][][][][]

Now, using the five boxes above which as to be filled with three letters and two digits, such that; The first character of the password must be a letter and  repetition of the same letter in the password is not allowed while repetition of digits is allowed.

Now,

we know that there are 26 alphabets in English language, so the first box can be filled in 26 ways { must be a letter }

next four will be filed with two letters and two digits

so two boxes from the four can be chosen in the following ways;

⇒ ⁴C₂ = 4! / ( 2!(4-2)! = 24 / 4 = 6  { ways }

now for each choice, we can fill the chosen two boxes with letters in;

⇒ 25 × 24 = 600 { ways}

and the next two by digits; ( 0, 1, 2, ..... 9)

⇒ 10 × 10 = 100 { ways }

So in total, the possible number of ways he can create a password is;

⇒ 26 × 6 × 600 × 100

= 9,360,000 possible ways

Therefore, Alfred can create the password in 9,360,000 possible ways

Step-by-step explanation:

let Rita = R

Let Gabriela = G

so we have

G ×R = 21

G= R + 4

(R+4)(R) = 21

R^2+4R -21=0

Answer:

Degree measure of arc AB = 120°

Length of arc = 41.9 in.

Step-by-step explanation:

✔️Measure of Central angle is the same as Measure of the intercepted arc

Therefore,

Degree measure of arc AB = 120°

✔️Length of arc = [tex] \frac{\theta}{360} * 2 \pi r [/tex]

[tex] \theta = 120 [/tex]

r = 20 in.

Length of arc = [tex] \frac{120}{360} * 2 \pi * 20 [/tex]

= 41.887902

Length of arc = 41.9 in. (Nearest tenth)

Answer:

60.458

Step-by-step explanation:

it says the answer lol

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

Answer:

4

Step-by-step explanation:

so when it says f(x)=-x+1

the x values are constant so what value is in f(x) the value of x goes right into -x+1

f(-3)=-x+1

f(-3)=-(-3)+1

f(-3)=4

Answer:

yea the anwser is 4

（>﹏<）

Answer:

9

Step-by-step explanation:

18 x 1/2

18/2

9

Answer: 9

Step-by-step explanation:

Parenthesis first, so 8+10 =18 .

18 multiplied by 1/2 = 9

Answer:

b good luck srro if u am rong

Answer:

the best way to write is as it is in the beginning, so 1.2×10^-6, that is the alternative A.

Answer:

2/18 = 1/9

Step-by-step explanation:

2/3 x 1/3 = 2/9

2/9 x 1/2 = 1/9

Answer:

any how there are three consecutive positive numbers

Answer:

B.5 1/3

Step-by-step explanation:

got it right on edge

The value of a from the given triangle is [tex]5\frac{1}{3}[/tex] units. Therefore, option B is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the triangle we have WX=b, WZ=c, ZY=3, YX=a and WY=4.

By Pythagoras theorem,

c²=4²+3²

c²=16+9

c²=25

c=5 units

In triangle WXZ,

(3+a)²=5²+b² ----(i)

From the triangle WXY,

b²=4²+a² ------(ii)

From equation (i) and (ii), we get

(3+a)²=5²+4²+a²

9+6a+a²=41+a²

6a=32

a=32/6

a=[tex]5\frac{1}{3}[/tex] units

Therefore, option B is the correct answer.

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