A.
All of the expressions are in simplest form.
B.
All of the expressions result in a terminating decimal.
C.
All of the expressions result in a rational number.
D.
All of the expressions result in an irrational number.

Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.

Binomial probability distribution  

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that at least 4 of them say job applicants should follow up within two weeks is [tex]P(X \geq 4)[/tex], which is given by:

[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]

In which:

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147[/tex]

[tex]P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816[/tex]

[tex]P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985[/tex]

[tex]P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759[/tex]

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707[/tex]

[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295[/tex]

0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

A similar problem is given at https://brainly.com/question/25166697

Answer:

the is k=-0.4

Step-by-step explanation:

sorry if I did it wrong

Answer:

[tex]k = -\frac{2}{5}[/tex]

I can't see the answer choices. Sorry, if I'm wrong.

Answer:

5/7

Step-by-step explanation:

2 1/7 x 1/3

= 15/7 × 1/3

=  15 × 1/7 × 3

=  15/21

=  15 ÷ 3/21 ÷ 3

=  5/7

Answer:

Step-by-step explanation:

24 hr in a day

so

540 : 24 = 22.5 or 22 1/2

============================================================

Explanation:

Let's say that this tub is 72 gallons. I picked this number since 12*6 = 72. You can pick any number you want, but I picked this number so we end up with whole number results as shown below.

Tap X can fill the 72 gallon tub in 12 minutes. Its rate is 72/12 = 6 gallons per minute. Tap Y has a rate of 12 gallons per minute because 72/6 = 12.

Add the two unit rates: 6+12 = 18

If the two taps are opened at the same time, then they will work at a rate of 18 gallons per minute.

Let x be the number of minutes. The expression 18x represents how much of the tub is full after x minutes. Set this equal to the 72 we started with earlier and solve for x.

18x = 72

x = 72/18

x = 4

It will take 4 minutes if both taps are running at the same time.

Answer:

(x,y)+(2,2)

Step-by-step explanation:

Answer:

maximum -1 minimum -7 amplitude 6 midline -4

Step-by-step explanation:

Answer:

Protons

Step-by-step explanation:

The Periodic Table is arranged according to the atomic number of an element which is based on the number of protons in the nucleus

Based on the model of the population and the amount of years that have passed, the current population is 39,393 people.

The model of the population is:

= 35,000 x (1.03)^ x

If x is 4 years, slot this into the model to get:

= 35,000 x 1.03⁴

= 35,000 x 1.12550881

= 39,393 people

In conclusion, the current population is 39,393 people.

Find out more at https://brainly.com/question/1232096.

Answer:

turning point: (1, 4)

Roots: (-1, 0), (3, 0)

Step-by-step explanation:

The turning point is the vertex of the parabola, which occurs at point (1, 4).   The roots are the areas where the graph crosses the x-axis, referred to as the x-intercepts. The graph crosses the x-axis at points (-1, 0) and (3, 0).

Answer:

Exact: 55.899

Estimate: 56

Step-by-step explanation:

8.176 + 5.802 + 41.921 = 55.899

8.176 ~ 8

5.802 ~ 6

41.921 ~ 42

8 + 6 + 42 = 56

============================================================

Check out the diagram below.

I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.

So,

Therefore, the total volume we're working with is:

A+B+C = 288+180+108 = 576 cubic feet

The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.

[tex] - 3 log_{3}(x - 2) = - 25 \\ = > log_{3}(x - 2) = \frac{ - 25}{ - 3} \\ = > log_{3}(x - 2) = \frac{25}{3} \\ = > (x - 2) = ( \frac{25}{3} ) ^{3} \\ = > x - 2 = \frac{15625}{27} \\ = > x = \frac{15625}{27} + 2 \\ = > x = \frac{15625 + 54}{27} \\ = > x = \frac{15679}{27} \\ = > x = 5226.33[/tex]

Answer:

5226.33 (approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

10 feet tall

Step-by-step explanation:

(Triangle problem was answered in a previous question)

So like before, we have a ratio: 1.5inches:2.5feet

We have a starting value as well: 6 inches

All we have to do is convert from inches to feet (not with a real life equation, but with the given equation)

To begin, dvide 6 by 1.5

6inches/1.5inches = 4 (The units canceled out during division)

Not multiply by the ratio:

4 * 2.5feet = 10 feet (It takes the units in feet)

Therefore, the tree is actually 10 feet tall.

Hello there! The formula for finding the circumference of a circle is

[tex]C=\pi d[/tex]

We are given that the radius is 3.

Don't worry! We can find the diameter. The diameter is 2 times the radius, so the diameter is 6 yards.

Now multiply π by 6:

C=18.8 yards

Hope this helps you! Please mark Brainliest if it does!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

because 4 is a fixed value. and it is not a variable.

Answer:

3/17

Step-by-step explanation:

-2x + 3(-5x + 1)

-2x -15x +3

-17x + 3

17x = 3

x = 3/17

Answer:

A worker with 15 years of service gets 5 weeks of vacation each year.

Step-by-step explanation:

4th option

Answer:

shade 20 squares

Step-by-step explanation:

What your going to think about is there is going to be 4 5's  so 4 x 5 is 20

Answer:

I saw the other persons work and I also believe the answer is 20.

Step-by-step explanation:

By multiplying the dividend from the graph.  

Answer:

1/2

Step-by-step explanation:

Divide the season pass cost by the daily capstone:

350 / 69 = 5.07

They would have to ski 6 days for the season pass to be less expensive

Answer:

8/12 and 9/12

Step-by-step explanation:

Answer:

square root

Step-by-step explanation: i think this is right but please tell me if it is wrong

Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

The decimal multiplier for a increase of a% is given by:

[tex]M = \frac{100 + a}{100}[/tex]

In this problem, two increases of 5%, thus:

[tex]M = \frac{100 + 5}{100} = 1.05[/tex]

Another of x, that we want to find, and the result is a increase of 16%, thus:

[tex]M = \frac{100 + 16}{100} = 1.16[/tex]

The three increases(5%, 5% and x%) result in a increase of 16%, thus:

[tex]1.05(1.05)(x) = 1.16[/tex]

[tex]x = \frac{1.16}{(1.05)^2}[/tex]

[tex]x = 1.052[/tex]

1.052 - 1 = 0.052

A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

A similar problem is given at https://brainly.com/question/21806362

Answer:

?okihhligiutf rseyra qryjvgukvfyucgyivghvhgj

Answer:

Saya tidak yakin bagaimana menjawabnya maaf

Step-by-step explanation: