There are 12 people in an office with 3 different phone lines. If all the lines begin to ring at once, how many groups of 3 people can answer these lines

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

my answer is in the image above

Answer: C

Step-by-step explanation:

See diagram above

Answer:

15

Step-by-step explanation:

3/5*25

Answer:

15 girls

Step-by-step explanation:

(3/5) x 25 = 15

Max is participating at a school bake sale. Each cookie he sells costs 50 cents. Unfortunately, it took 6 dollars to buy the materials for the cookies. Find how much money would it take for Max to break even.

Answer:

Step-by-step explanation:

4 years ago when Mary was 6, she was one half the age of her brother.  

 How old is her brother now?

Solution :

Let brother's age be = x

Four years ago, brothers age was = (x - 4)

Four years ago Mary was = 6

She was half the age of her brother

                                                   [tex]6 = \frac{1}{2} (x - 4)[/tex]

Answer:

Step-by-step explanation:

The greatest common factor of 36 and 54 is 18. 18×2=36 and 18×3=54.

Answer:

197 in^2

Step-by-step explanation:

Add the areas of each face:

2 trapezoid faces:

(5+9) ÷ 2 x 5 = 35

2(35) = 70 in^2

2 squares:

5 x 5 = 25

2(25) = 50 in^2

Rectangular base:

5 x 9 = 45 in^2

Area of slanted rectangle:

6.4 x 5 = 32 in^2

Add:

32 + 45 + 50 + 70 = 197

Answer:

9-4+(5x3)

Step-by-step explanation:

9-4+15

24-4

20

Answer:

7

Step-by-step explanation:

This is correct answer bro...

Answer:

7

Step-by-step explanation:

So first off, two numbers that are to the same root can be combined.

In this case we can combine these two values, since they are to the 5th root and are both 7:

[tex]\sqrt[5]{7*7^4}[/tex]

=

[tex]\sqrt[5]{49^4}[/tex]

This can be broken down into 7^2

This gets us [tex]\sqrt[5]{7^5}[/tex]

Remember that we add exponents, together, so in this case it adds up to 5.

You might be wondering...well if its 7^2 and 7^4, wouldnt it be 7^6?

Well, remember this. One of the 7s in 7^2 is from the 7^4, so tecnically it is 7^3 + 7^2, which is 7^5

Anyway, now we have:

[tex]\sqrt[5]{7^5}[/tex]

When you root a exponent, it works like subtraction.

In this case we have a exponent of 5, and a root of 5.

This is 5-5 = 0

So it will just be 7. Because the square and root cancel each other out, leaving us with 7.

Hope this helps!

Also, I  just watched you waste someone elses answer so you could ask your own question. Instead of wasting other peopes answers, message me on one of my questions or answers, I will help you for free. :D

Answer:

i think its 13

Step-by-step explanation:

you are supposed to measure the lowest point of the liquid.

Im sorry but what I got was x=1.5 I don't know if this helps or not.

Answer:

[tex]CI =0.894%[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=4[/tex]

Standard deviation [tex]\sigma=0.76\% of \=x[/tex]

Confidence level [tex]\mu =90\%=0.90[/tex]

Degree of Freedom [tex]Df=n-1=3[/tex]

Therefore

Test T from table is given

 [tex]t=2.353[/tex]

Generally the equation for Confidence interval CI is mathematically given by

 [tex]CI =t*\frac{\sigma}{\sqrt{n}}[/tex]

 [tex]CI =2.353*\frac{0.76}{\sqrt{4}}[/tex]

 [tex]CI =0.894%[/tex]

Answer:

[tex]\frac{4}{15}[/tex] of a gallon per bottle

Step-by-step explanation:

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{4}{5}[/tex]

[tex]\frac{4}{5}[/tex] / 3 = [tex]\frac{4}{5}[/tex] x [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{15}[/tex]

Answer:

triangle BEF is right angled triangle

yes

Substitute x and y into the

equation  we have

0+4 .(-5)=-20

<=>-20=-20

satisfy the condition

The answer is C

Step-by-step explanation:

Not sure I can't really give an explanation but its C

Answer:

80x⁴

Step-by-step explanation:

[tex](\frac{1}{ax} + 2ax^2)^5 = 5C_0(\frac{1}{ax})^5(2ax^2)^0 + 5C_1(\frac{1}{ax})^4(2ax^2)^1 + 5C_2(\frac{1}{ax})^3 (2ax^2)^2[/tex]

                           [tex]+ 5C_3 (\frac{1}{ax})^2(2ax^2)^3 + 5C_4(\frac{1}{ax})^1(2ax^2)^4 + 5C_5(\frac{1}{ax})^0(2ax^2)^5[/tex]

[tex]5C_0(\frac{1}{ax})^5(2ax^2)^0 =1 \times (\frac{1}{ax})^5 \times 1 = \frac{1}{a^5x^5}\\\\5C_1(\frac{1}{ax})^4(2ax^2)^1 = 5 \times (\frac{1}{ax})^4 \times (2ax^2)^1 = 10 ax^2 \times \frac{1}{a^4x^4} = \frac{10}{a^3x^2}\\\\5C_2 (\frac{1}{ax})^3 (2ax^2)^2= 10 \times (\frac{1}{ax})^3 \times (2ax^2)^2 = 10 \times \frac{1}{a^3x^3} \times 4a^2x^4 = \frac{40x}{a}\\\\5C_3 (\frac{1}{ax})^2 (2ax^2)^3 = 10 \times (\frac{1}{ax})^2 \times (2ax^2)^3 = 10 \times \frac{1}{a^2x^2} \times 8a^3 x^6 = 80ax^4\\\\[/tex]

[tex]5C_4(\frac{1}{ax})^1(2ax^2)^4 = 5 \times \frac{1}{ax} \times 16a^4x^8 = 80a^3x^7\\\\5C_5(\frac{1}{ax})^0(2ax^2)^5 = 1 \times 1 \times 32a^5x^{10}[/tex]

The fourth term of the expansion has the constant a,

the coefficient of a is 80x⁴

Answer:

Hope it will help you!!!!

Answer: K941,200,000

Step-by-step explanation:

From the question, we are to calculate the amount of earning that PNG can make in a year in cocoa export of 400 000 tonnes at K2 353 per tonne.

This will be:

= Number of tonnes × Amount per ton

= 400000 × k2353

= K941,200,000

Therefore, the answer is K941,200,000

Answer:

19 boys

Step-by-step explanation:

38 kids on the bus

1/2 are girls, that means 1/2 are boys

1/2 * 38 = 19

There are 19 girls and 19 boys

Answer:

2/3

Step-by-step explanation:

2/3 is 66 2/3%

Answer:

0 or 1

Step-by-step explanation:

Given that Kelley  is tasked with having to use vertical line test to determine whether or not a curve is a function. Each vertical line that Kelly draws through her curve must intersect the curve at maximum one point only in order for thecurve to be a function

Answer is 0 or 1 point

Answer:

A is your answer, my guy

Step-by-step explanation:

4x1=4

3x-1=-3

5x1=5

4+(-3)+5=6

6x1=6

8x-1=-8

6x1=6

6+(-8)+6=4

4x1=4

2x-1=-2

6x1=6

4+(-2)+6=8

Answer:

30 and 45 degrees

Step-by-step explanation:

Answer:

It is B - Because some applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.Thus, the probability is 65%.

>3

Answer:  Choice B

Because some applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.

Thus, the probability is 65%.

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

Explanation:

950 people meet the GPA requirements. Also, 250 both meet the GPA requirements and volunteer. This must mean 950-250 = 700 people only meet the GPA requirements, but don't volunteer. Let A = 700.

600 people volunteer. 250 both meet the GPA requirements and volunteer. This must mean 600-250 = 350 people volunteer only (ie they don't meet the GPA requirements). Let B = 350

Let C = 250 to represent the number who meet the GPA requirements and volunteer.

-----------------

In summary we found that,

That means A+B+C = 700+350+250 = 1300 people either meet the GPA requirements, volunteer, or both. This is out of 2000 people

1300/2000 = 13/20 = 0.65 = 65%

That calculation tells us that 65% of the 2000 applicants fit the conditions we're after. So that's the probability of randomly selecting someone to fit those conditions.

Because the value of C is not zero, this means we don't have mutually exclusive events. It's possible that someone fits both criteria. Mutually exclusive events cannot happen at the same time.

In other words, if we did have mutually exclusive events, then someone couldn't both meet the GPA requirements and volunteer at the same time (they would have to pick one or the other but not both).

Answer:

Population = All Sandhill cranes bred and hatched in Alaska that migrate south

Sample = The 50 crane samples which are tagged yearly.

Step-by-step explanation:

The population refers to all members or subjects which belongs to a defined study. Each and every subject which meets the requirement of a study makes up the population.

The sample however, is a subset of the population, the sample is a smaller group of subject which is selected from the population randomly to for a representative sample of the population. Here, it is the 50 sampled sandhill cranes bed per year.

Answer:

These are the answers

Step-by-step explanation:

Answer:

[tex]1.\ Given[/tex]

[tex]2.\ IV \cong VE[/tex]

[tex]3.\ \angle GVI \cong \angle RVE[/tex]

[tex]4.\ ASA\ congruence[/tex]

[tex]5.\ GV \cong VR[/tex]

[tex]6.\ Proved[/tex]

Step-by-step explanation:

Given

See attachment for right question format

Required

Complete the blanks

1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.

So, the reason is Given

2. Midpoint means halfway. So, we can fill the statement column with:

[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE

or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR

3. Vertical angle are congruent. So, the statement is:

[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent

4. We have:

[tex]\triangle GVI \cong \triangle RVE[/tex] because

[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)

[tex]IV \cong VE[/tex] ---- congruent sides (S)

[tex]\angle GIV \cong \angle REV[/tex]  --- congruent angles (A)

The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence

5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]

Hence, both sides are congruent ----[tex]GV \cong VR[/tex]

6. The given statement has been prived

9514 1404 393

Answer:

  $287.94

Step-by-step explanation:

The final cost is found by multiplying the cost by the various factors:

  $299 × 1.07 × 0.90 ≈ $287.94

the answer is letter B.graph D

Answer:

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Step-by-step explanation:

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