a $5 bill is exchanged for 72 coins having a total calue.of $5. Some of the coins are nickels and the rest are dimes. How many dimes are in the exchange?

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

[tex]D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1[/tex]

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

[tex]T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{715} = 0.0014[/tex]

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

in figure

85+5n+5n+5n+5f+5n-10=540

20n+80=540

20n= 460

x=23

Answer:

1

Step-by-step explanation:

Answer:    c = 14.287  approximately

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Work Shown:

Refer to the diagram below. Note how side a is opposite angle A, and side c is opposite angle C.

tan(angle) = opposite/adjacent

tan(A) = a/c

tan(57) = 22/c

c*tan(57) = 22

c = 22/tan(57)

c = 14.2869670503452

c = 14.287

This value is approximate. Make sure your calculator is in degree mode

Answer:

f(2) = 0 and f(6) = -4

Step-by-step explanation:

First, find f(x) when x = 2

Plug in 2 as x in the function:

f(x) = -(x - 2)​

f(2) = -(2 - 2)

f(2) = -(0)

f(2) = 0

Next, find f(x) when x = 6. Plug in 6 as x in the function:

f(x) = -(x - 2)​

f(6) = -(6 - 2)

f(6) = -(4)

f(6) = -4

So, f(2) = 0 and f(6) = -4

Answer:

325

Step-by-step explanation:

i dont know

Answer:

45% and 55%

Step-by-step explanation:

Total student = 20

No of Girls = 9

No of boys = Total student - No of Girls

                  =20-9

                  =11

Percentage of Girls = (No of Girls / Total student) * 100

                           = (9/20)*100

                           = 45 %

Percentage of Boys = (No of Boys/ Total student) * 100

                           = (11/20)*100

                           = 55 %

Answer:

n=19

Step-by-step explanation:

5+14=n

19=n

Answer:

I only

Step-by-step explanation:

The others have irrational & unsolvable numbers!

Hope that helps!

Answer and Step-by-step explanation:

Just flip the triangle upside down, to make it look more sense.

   (Angle) 17

    |\

x   |  \ 47

    |__\

We will use the sine trig function to solve for x.

sin(17) = [tex]\frac{x}{47}[/tex]

Multiply by 47 to both sides.

47(sin(17)) = x

Now input into a calculator and solve.

x = 13.74147012

x ≈ 13.7 is the answer.

Answer:

$8.65

Step-by-step explanation:

1.25+4.75+2.50=8.5

8.5+0.056(5.6%)=8.65

Answer:

x=5√3=8.6......

y=5

.....

Answer:

The central angle is the measure of minor arc AB. The central angle here is 60 degrees, shown by the third circle down from the top. This is the right answer.

Step-by-step explanation:https://brainly.com/question/12790519#:~:text=The%20central%20angle%20is%20the,This%20is%20the%20right%20answer.

Answer and explanation:

A. To calculate annual profit, we find:

Total income - total cost for the 365 days in a year

Total income for different daily demands:

For 500 copies= 500×365×0.10=$18250

For 1000 copies= 1000×365×0.10=$36500

For 1500 copies=1500×365×0.10=$54750

For 2000 copies=2000×365×0.10=$73000

Total cost using five copiers= 400×12+5000×5+500000×0.03= $44800

Total cost using four copiers=

400×12+5000×5+400000×0.03=

$36800

Annual profit with daily demand of 2000 and five copiers available= $73000-$44800= $28200

B.

Answer:

5 for the first and 4x for the second one also plz give heart

Step-by-step explanation:

i just know

Answer:

frequency= 165Hz

period= [tex]\frac{1}{165}[/tex]

Step-by-step explanation:

1. To calculate the frequency using the formula:

f = v/λ

where,

f=frequency (what the question asked)

v=speed of wave (given in the question=330m/s)

λ=wavelength (given in the question=2m)

SO,

[tex]f=\frac{330}{2}[/tex]

= 165Hz

2. To calculate the period use the formula:

since [tex]f=\frac{1}{T}[/tex]

therefore, [tex]T=\frac{1}{f}[/tex]

where,

f= frequency (what we solved above=165Hz)

T= period (what the question asked)

SO,

[tex]T=\frac{1}{165}[/tex]

Answer:

Cube

Solve for surface area

A=150in²

a Edge

5

in

Answer:

4

Step-by-step explanation:

Turn the percentage into a decimal and multiply.

8% -> 0.08

0.08 * 50 = 4

Best of Luck!

Answer:

4

Step-by-step explanation:

8% times 50 is the same as 8% of fifty

Answer:

x = 4

y = 4

Step-by-step explanation:

the front triangle has two 40° angles (sum of all ∡'s must be 180°)

the unlabeled lower-left angle then is 40°; this angle corresponds to the angle in the other triangle labeled as 10y°

therefore, 10y = 40 so y = 4

Since opposite angles in a parallelogram are congruent then we can write:

40° + 25x° = 100° + 10(4)°

25x° = 140 - 40°

25x = 100°

x = 4

9514 1404 393

Answer:

  neither

Step-by-step explanation:

A polynomial consisting of even-degree terms only is even.

A polynomial consisting of odd-degree terms only is odd.

The given f(x) polynomial has both even- and odd-degree terms, so is neither.

Answer:

The answer is B

Step-by-step explanation:

V=lwh

3=15·15·20

3=1500

Answer:

x = 11.8

Step-by-step explanation:

Side a = 11.78983

Side b = 3

Side c = 10

Angle ∠A = 120° = 2.0944 rad = 2/3π

Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad

Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad

The answer for x is 11.8

Answer:

d. lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

Step-by-step explanation:

The computation of the approximate 95% confidence interval is shown below:

Given that

mean = 528,

standard deviation = 10

[tex]Mean \mp z_{\frac{0.05}{2}}\times standard\ deviation \\\\=528 \mp 2 \times 10\\\\=(508,548)[/tex]

hence, the correct option is d.

The confidence interval gives a range of estimate for the true population mean at a given confidence level. The confidence interval for the mean is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

The confidence interval for the mean is obtained using the relation :

Plugging in the values :

528 ± (1.96 × (10))

Approximating Z* (1.96) = 2.00

Lower boundary = 528 - (2 × 10) = 528 - 20 = 508

Upper boundary = 528 + (2 × 10) = 528 + 20 = 548

Therefore, the confidence interval is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

Answer:

They saw 15 customers per hour.

Step-by-step explanation:

Answer:

Step-by-step explanation:

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