There are 10 people on a team. 5 are chosen. which expression gives number of ways

Answers

Answer 1

The number of ways in this case will involve computation of number of combinations available. That is,
Number of ways to select 5 = Total number C Number to be chosen. Where "C" stands for combination

Substituting;
Number of ways to select 5 from 10 people = 10C5 = 10!/{5!*(10-5)!} = 10!/(5!*5!) = 252 ways

Related Questions

hey can you please help me posted picture of question

Answers

The discriminant can be determined from the number of roots of the graph.

If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.

Since the given graph has no real root, i.e. it does not cross x-axis at any point, so we can say that the discriminant of the given function is negative.

So the answer to this question is option C

Ken started saving for retirement at age 35 with plans to retire at age 70. He invested an average of $600 per month in various securities, with an average annual return of 5% adjusted for inflation. Assuming monthly compounding, how much has Kent saved at the start of retirement

A: $54,192.18
B: $825,655.45
C: $499,355.18
D: $681,655.46

Answers

The answer is C $499,355.18

8x+6=5x+9
[tex]8x + 6 = 5x + 9[/tex]

Answers

First step is to get variables on one side and constants on the other so that we can combine like terms. To do so, subtract 5x from both sides and subtract 6 from both sides. This gives you:

8x - 5x = 9 - 6

Now combine like terms:

3x = 3

Divide by 3 to isolate the variable x.

x = 1

Final answer:

To solve the equation 8x + 6 = 5x + 9, subtract 5x from both sides to get 3x + 6 = 9, then subtract 6 from both sides to get 3x = 3. Finally, divide by 3 to find x = 1.

Explanation:

The equation given is 8x + 6 = 5x + 9. To solve for x, you first want to get all terms containing x on one side and the constants on the other. This is achieved through the use of addition or subtraction. From LibreTexts™, we know that addition or subtraction of the same number on both sides of an equation maintains equality. So, subtract 5x from both sides:

8x + 6 - 5x = 5x + 9 - 5x

3x + 6 = 9

Next, you subtract 6 from both sides to isolate the x term:

3x + 6 - 6 = 9 - 6

3x = 3

Now, you divide both sides by 3, a step also indicated by LibreTexts™ as multiplication or division by the same number maintains the equation's balance:

3x / 3 = 3 / 3

x = 1

The solution to the equation is x = 1.

when is periodic data useful? give examples to support your answer please

Answers

It's useful in following conditions:

(i) when you want to know the valency to male compounds
for example :
when H2 and O2 react in normal conditions they form H2O, amd here we needed crossmultiplication of their valencies.

(ii) To know masses while calculating mass number.
For example In case you wanna find mass of 100 molecules of H2O.

(iii) To find electronegativity (to determine type of bond formed).
For example: which kind of bond Hydrogen and Clorine will form.

The table below shows a correct representation that 15 pounds (lb) of sugar cost $3: lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1

Answers

by the way you are saying it the answer would be 0.20

Answer:

true

Step-by-step explanation:

2,5,11,20 32,47 what is the next number in the series

Answers

it is easy 2, 5, 11, 20, 32, 47, 65
+3,+6, +9,+12,+15,+18, +21,

The next number in the series is 65. To identify the pattern in the given series and find the next number, let's look at the differences between consecutive terms.

5 - 2 = 3

11 - 5 = 6

20 - 11 = 9

32 - 20 = 12

47 - 32 = 15

As we observe, the differences between consecutive terms are increasing by 3 each time. So, to find the next difference, we add 3 to the last difference:

15 + 3 = 18

Now, to find the next number in the series, we add this difference to the last number in the series:

47 + 18 = 65

Therefore, the next number in the series is 65.

To know more about series:

https://brainly.com/question/30241975

#SPJ6

Hey can you please help me posted picture of question

Answers

The correct option is: Option (D) 7

Explanation:
These type of questions can easily be solved using the Venn diagram. Below is the image attached that shows the Venn diagram and the solution.

THere are seven patrons that dont like any of these coffee drinks

so the answer for your question is D.7

I hope I can show the solution but I cant post the picture right now :(

Hope Ihelped

A rubber ball dropped on a hard surface takes a sequence of bounces, each one 4/5 as high as the preceding one. If this ball is dropped from a height of 10 feet, what is the total vertical distance it has traveled at the time when it hits the surface for its fifth bounce?
A) 28 77/125 feet
B) 49 1/25 feet
C) 57 29/125 feet
D) 59 29/125 feet

Answers

Answer:

The answer is 57 29/125 feet ⇒ answer (C)

Step-by-step explanation:

∵ The ball dropped from a height 10 feet

∴ The vertical distance = 10 feet

∵ It bounces 4/5 as high as the preceding one

∴ 1st bounce = 10 × 4/5 = 8 (move down another 8)

∴ The vertical distance = 8 + 8 = 16 feet

∴ 2nd bounce = 8 × 4/5 = 6.4 (move down another 6.4)

∴ The vertical distance = 6.4 + 6.4 = 12.8 feet

∴ 3rd bounce = 6.4 × 4/5 = 5.12 (move down another 5.12)

∴ The vertical distance = 5.12 + 5.12 = 10.24 feet

∴ 4th bounce = 5.12 × 4/5 = 4.096 (move down another 4.096)

∴ The vertical distance = 4.096 + 4.096 = 8.192 feet

∵ The ball will hit the surface to make the 5th bounce

∴ The total vertical distance is :

10 + 16 + 12.8 + 10.24 + 8.192 = 57.232 = 57 29/125

Another way:

* We can use the formula of geometric sequence with

1st bounce distance (a) = 8 + 8 = 16 and ratio (r) = 4/5

and number of bounces (n) = 4 (hit the surface for its 5th bounce)

∵ [tex]S_{n}=\frac{a(1-(r^{n}))}{1-r}[/tex]

∴ [tex]S_{4}=\frac{16(1-(\frac{4}{5})^{4})}{1-\frac{4}{5}}=47\frac{29}{125}[/tex]

* Then we must to add the 10 feet

(the ball dropped from height 10 feet)

∴ The total vertical distance = 10 + 47 29/125 = 57 29/125 feet

A marble is drawn at random first from a jar containing four black and four white marbles, and then from a jar containing six black and two white marbles. What is the probability of drawing two black marbles?

Answers

[tex] |\Omega|=8\cdot8=64\\
|A|=4\cdot6=24\\\\
P(A)=\dfrac{24}{64}=\dfrac{3}{8}=37.5\% [/tex]

Answer:

the answer is 37.5% Hope this helps!

what is sqrt p^5 q^10 expressed in simplified form?

Answers

The simplified form of the expression [tex]\sqrt{p^5q^{10}}[/tex] is p²q⁵√p, obtained by separating and simplifying the square roots of the individual factors.

The expression [tex]\sqrt{p^5q^{10}}[/tex] can be simplified by separating the square roots of the individual factors and simplifying each one individually.

First, let's rewrite the square root of the entire expression:

[tex]\sqrt{p^5}[/tex] = p²√p because we are taking the square root of p to the fifth power which results in p squared and the square root of p remaining.[tex]\sqrt{q^{10}}[/tex] = q⁵ because q to the tenth power is a perfect square, and taking the square root gives us q to the fifth power.

Therefore, the simplified form of [tex]\sqrt{p^5q^{10}}[/tex] is p²q⁵√p.

At a school for performance art students
2/5

of the girls study music,
3/5

of the girls study dance and
1/6

of the girls study music and dance. What fraction of those who study music also study dance?

Answers

the to the girls studying music and dance the factions is 55

Peter is working for an hourly wage of 12$ if he worked for 20 hours last week what is his gross pay

Answers

Hourly wage = $12
Number of hours Peter worked = 20 hours

Gross Pay = Hourly Wage x Number of Hours worked

Using the values, we get:

Gross Pay = 12 x 20 = $240

Thus, the gross pay of Peter was $240 for his work of last week

A father is giving his child a 30-inch long softball bat for her birthday.He has a rectangular box that has the dimensions of 5 inches by 6 inches by 25 inches. Will the bat fit in the box ? Explain

Answers

I think it will because 5 × 6 × 25 = 750 in.

The bat is 30 in.

So, I think it will fit.

Hope this helped☺☺

Answer:

No, the bat will not fit. Using the Pythagorean theorem, the length of a diagonal of a face of the box is about 24 inches, and the length of the diagonal of the cube is about 29.4 inches. This is less than the length of the bat.

Step-by-step explanation:

Edguenity

What are a) the ratio of the perimeter’s b) and the ratio of areas of the larger figure to the smaller figure?

Answers

did you get the answers?

a) We have been given two similar figures and we have to find ratio of perimeters of these figures.

Let a be given side of larger figure and b be the given side of smaller figure. Let [tex]p_{1} \text{ and } p_{2}[/tex] be the perimeters of two figures and [tex]A_{1} \text{ and } A_{2}[/tex] be the areas of the two figures.

We know that perimeters of two similar figures are in the ratio of corresponding sides.

[tex]\frac{p_{1}}{p_{2}}=\frac{a}{b}[/tex]

We have been given, [tex]a=26\text{ and }b=6[/tex]

Therefore, upon substituting these values in the above equation, we get

[tex]\frac{p_{1}}{p_{2}}=\frac{26}{6}[/tex]

[tex]\frac{p_{1}}{p_{2}}=\frac{13}{3}[/tex]

(b)

Further we know that areas of two similar figures are in the ratio of squares of corresponding sides.

[tex]\frac{A_{1}}{A_{2}}=\frac{a^{2}}{b^{2}}\\ \frac{A_{1}}{A_{2}}=\frac{26^{2}}{6^{2}}\\ \frac{A_{1}}{A_{2}}=\frac{676}{36}\\ \frac{A_{1}}{A_{2}}=\frac{169}{9}\\[/tex]

Therefore, first option is the correct answer.

write in short; × + 2× + 13×

Answers

The distributive property applies.
x + 2x + 13x = (1 + 2 + 13)x = 16x

an organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%. What does the margin of error imply?

Answers

Margin of error implies that the number of those who rated the vacation as delightful ranges between 81% (that is, 83-2) and 85% (that is, 83+2) of the population at a 95% confidence interval.

Answer:

Given is:

Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.

±2% means plus 2% from 83% and minus 2% from 83%, making the interval between 81% and 85%.

In general the margin of error tells that, how many percentage points the results will differ from the real population value. A small margin of error shows trustworthy results whereas a large margin of error means the results are not accurate.

Therefore, it can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."

Choose the correct factorization for the polynomial 21xy+15x+35ry+25r

Answers

(21xy +15x )+ (35ry +25r)
3x(7y+5)+ 5r(7y+5)
(3x+5r)(7y+5)

Please rate

A batch of cookies requires 3/8 cup of butter. Butter can be purchased in boxes, each containing 4 sticks, with 1 stick equivalent to 1/2 cup of butter. If Monica is to bake 15 batches of cookies, which of the following is the best estimate for the total number of boxes of butter she needs to buy?

Answers

Firstly, we need to find how many cups of butter is needed to bake [tex]15[/tex] batches. We will need [tex]15 \cdot \frac{3}{8} = \frac{45}{8}[/tex] cups of butter. This is [tex]5.625[/tex] cups. Since we can only buy butter in boxes with 2 cups of butter in it, we will have to buy 3. This will give us 6 cups of butter, which will be enough. If we only buy 2, then we will only have 4 cups of butter, which won't be enough to bake 15 batches of cookies.
So, the answer is [tex]\boxed{3}.[/tex]

#1. if i have a circle with a radius of 6 in and it is cut into 8 equal slices (like a pie) and the coordinates are (8, 5) then what is the central angle, what is the measure of the arc that 2 pieces together would intercept, and the equation that represents as well as the circumference?

I also need the same answers for these:

#2. radius 10 inches, 14 equal pieces, and points of (3, 7)

#3. radius 25 cm, 16 pieces and 14 and 53

#4. radius 12 inches, 8 pieces and points of (2, 5)

#5. radius 4 inches, 12 equal pieces, and points of (3, 6)

Answers

part 1)
coordinates of the center (8,5)
radius=6 in
is cut into 8 equal slices-----> 360°/8-----> 45° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-8)²+(y-5)²=6²

b) circumference=2*pi*r-----> 2*pi*6---> 37.68 in
if 360° (full circle) has a length of---------> 37.68 in
90° (2 pieces together)---------> x
x=90*37.68/360-----> x=9.42 in

the measure of the arc that 2 pieces together would intercept is 9.42 in

c)  The central angle of one slice is 45 degrees

Part 2)
coordinates of the center (3,7)
radius=10 in
is cut into 14 equal slices-----> 360°/14-----> 25.71° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-3)²+(y-7)²=10²

b) circumference=2*pi*r-----> 2*pi*10---> 62.8 in
if 360° (full circle) has a length of---------> 62.8 in
51.42° (2 pieces together)---------> x
x=51.42*62.8/360-----> x=8.97 in

the measure of the arc that 2 pieces together would intercept is 8.97 in

c)  The central angle of one slice is 25.71 degrees

Part 3)
coordinates of the center (14,53)
radius=25 cm
is cut into 16 equal slices-----> 360°/16-----> 22.5° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-14)²+(y-53)²=25²

b) circumference=2*pi*r-----> 2*pi*25---> 157 cm
if 360° (full circle) has a length of---------> 157 cm
45° (2 pieces together)---------> x
x=45*157/360-----> x=19.63 cm

the measure of the arc that 2 pieces together would intercept is 19.63 cm

c)  The central angle of one slice is 22.5 degrees

Part 4)
coordinates of the center (2,5)
radius=12 in
is cut into 8 equal slices-----> 360°/8-----> 45° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-2)²+(y-5)²=12²

b) circumference=2*pi*r-----> 2*pi*12---> 75.36 in
if 360° (full circle) has a length of---------> 75.36 in
90° (2 pieces together)---------> x
x=90*75.36/360-----> x=18.84 in

the measure of the arc that 2 pieces together would intercept is 18.84 in

c)  The central angle of one slice is 45 degrees

Part 5)
coordinates of the center (3,6)
radius=4 in
is cut into 12 equal slices-----> 360°/12-----> 30° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-3)²+(y-6)²=4²

b) circumference=2*pi*r-----> 2*pi*4---> 25.12 in
if 360° (full circle) has a length of---------> 25.12 in
60° (2 pieces together)---------> x
x=60*25.12/360-----> x=4.19 in

the measure of the arc that 2 pieces together would intercept is 4.19 in

c)  The central angle of one slice is 30 degrees

hey can you please help me posted picture of question

Answers

The correct answer is option B

(5 + 3i)(4+ 2i)

= 5(4+2i) + 3i(4+2i)

= 20 +10i + 12i +6i²

= 20 +22i +6(-1)

= 20 + 22i - 6

= 14 + 22i

the slope of the line below is -3. which of the following is the point-slope form of the line? A.) y+2=3(x-2) B.) y+2=-3(x-2) C.) y-2=-3(x+2) D.) y-2=3(x+2)

Answers

The "point-slope" form of the equation of a straight line is:

[tex]y-y_1=m(x-x_1)\\\\(x_1;\ y_1)\ is\ a\ known\ point\\\\m\ is\ the\ slope\ of\ the\ line[/tex]

We have:

[tex]m=-3;\ (x_1;\ y_1)=(2;-2)[/tex]

Substitute

[tex]y-(-2)=-3(x-2)\\\\y+2=-3(x-2)[/tex]

Answer: B. y + 2 = -3(x - 2)

Answer:

B) y + 2 = -3(x - 2)

Step-by-step explanation:

it's what I got

which is an example x-intercept of the graph of the function y=tan(x-(5pi/6))

Answers

Answer: x = 5π/6

Explanation:

1) Given function:

[tex]y=tan(x- \frac{5 \pi }{6} )[/tex]

2) x-intercept are the roots of the function, i.e. the solution to y = 0

3) to find when y = 0, you can either solve the equation or look at the graph.

4) Solving the equation you get:

y = 0 ⇒ tan(x - 5π/6) = 0 ⇒ x - 5π/6 = arctan(0)

arctan(0) is the angle whose tangent is zero,so this is 0

⇒ x - 5π/6 = 0 ⇒ x = 5π/6.

Then, one example of an x-intercept is x = 5π/6, which means that when x = 5π/6, the value of the function is 0.

Since, the tangent function is a periodic function, there are infinite x-intecepts, that is why the questions asks for one example and not all the values.

You can verify by replacing the value x = 5π/6 in the given function:

y = tan (5π/6 - 5π/6) = tan(0) = 0.

Answer:

Step-by-step explanation:

what is 103.468 rounded to the nearest liter

Answers

Rounded to the nearest liter: 103

Hope this helps!

This question is asking you to round a number, the number will be rounded up if 1 digit below them is a value of 5 or more and if the number below them is 4 or less. In this question you have to round to the nearest liter which means the nearest one. The number in this question is 103.368, one digit below one will be the 0.4. Since the value is 4, which is lower than 5, then the number is rounded down. So your answer would be 103.

Q # 17 , Find the slope

Answers

In order to find the slope we need to find two points on the line.

From the above graph we can see that the points (-4,-1) and (0, -3) lie on the line. So using these two points we can find the slope.

[tex]Slope=m= \frac{-3-(-1)}{0-(-4)} \\ \\ m= \frac{-3+1}{0+4} \\ \\ m= \frac{-2}{4} \\ \\ m= \frac{-1}{2} [/tex]

So, first option is the correct answer

The slope is given by:
m = (y2-y1) / (x2-x1)
Substituting values we have:
m = (- 4 - (- 3)) / (2-0)
Rewriting we have:
m = (- 4 + 3) / (2-0)
m = (- 1) / (2)
m = -1 / 2
Answer:
The slope is given by:
m = -1 / 2
option 1

Q9 Q6.) Write an equation for intersection l₂ that keeps traffic moving.

Answers

The numbers of cars entering the intersection are z and 7. The numbers of cars exiting the intersection are x and 5. To keep traffic moving, ...
number entering = number exiting
z + 7 = x + 5

The appropriate selection is ...
A. z +7 = x +5

identify the slope and Y- intercept of the graph of the equation.Then graph the equation, Y = - 5/4X + 1

Answers

The solution is as shown in the figure.

The slope = -5/4

suppose you toss a fair coin and roll a fair six-sided die. What is the probability your actions result in tails on the coin and 3 on the die

Answers

mines 3 to 6 and use 2 power

In a survey conducted in an Office, 60% of the sample respondents agreed that employees should have flexible working hours.
If the margin of error is +-2%, the expected population proportion that wanted flexible working hours is between -------% and------%

Answers

The % margin of error means that the real value is in the range between the mean less the margin error and the mean plus the margin error. This is [ mean - % of error, mean + % of error]. Then, in this case the error of +/- 2% means that the expected population proportion that wants flexible working hours is between 60% - 2% and 60% + 2%, which is between 58% and 62%.

Answer:

Yes, the answer is between 58% and 62%

Step-by-step explanation:

I just did it on Edmentum

Jack had $80 more than Eric. When Jack spent $30, he found that the amount of money he had left was twice s much as Eric had. How much did the boys have altogether at the beginning?

Answers

First we define variables:
x: amount of money Jack has
y: amount of money Eric has
We write the system of equations:
x = y + 80
x - 30 = 2y
Solving the system we have:
x = $130
y = $ 50
Therefore, the amount of money they had at the beginning is:
130 + 50 = $ 180
Answer:
the boys had $ 180 altogether at the beginning

Solve the system using the substituiton method
branliest offered
3x-7y=10
x-4y=5

Answers

Hi there!

To solve this problem using substitution, we need to set x equal to a value and substitute it into the other equation.

Since
x - 4y = 5,
x = 5 + 4y

3x - 7y = 10
3(5 + 4y) - 7y = 10
15 + 12y - 7y = 10
15 + 5y = 10
5y = -5
y = -1

Now that we know y is -1, we can substitute it back into the equation to find x:

y = -1
x - 4y = 5
x - 4(-1) = 5
x - (-4) = 5
x + 4 = 5
x = 1

So, your answers are x = 1 and y = -1.

Hope this helps!

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