There are 7 girls and 3 boys in a class. Two students are to be
randomly chosen for a special project. What is the probability of
selecting a boy and a girl?

Answers

Answer 1

Answer:

7/15 is the probability of selecting a boy and a girl.

Step-by-step explanation:

Combination = nCr = n!/((n-r)!r!)

((7C1)(3C1))/(10C2)

= (7*3)/45

=21/45 = 7/15 the probability of selecting a boy and a girl.  


Related Questions

help plzzzzzzzzzz !!!!!

Answers

Answer:

51

Step-by-step explanation:

Ivy deposited some money into a savings account that earns 1%
annual simple interest. At the end of 5 years, she earned $32.50 in
interest. How much money did she put into the account initially?
Round to the nearest dollar.

Answers

Answer:

Ivy initially put $ 650 in the account.

Step-by-step explanation:

Given that Ivy deposited some money into a savings account that earns 1% annual simple interest, and at the end of 5 years, she earned $ 32.50 in interest, to determine how much money did she put into the account initially, the following calculation must be performed:

32.50 / 5 = 6.5

1 = 6.5

100 = X

100 x 6.5 = X

650 = X

Therefore, Ivy initially put $ 650 in the account.

Please helppp, 15 points

Answers

Answer:

they are adding by 3 1 and 0

Step-by-step explanation:

Answer:

Step-by-step explanation: Mean= 400/15 =26.6

Median = 27

Mode= 35 - 16 =19

No

You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a 6 and flipping tails is

You spin the spinner and flip a coin. Find the probability of the compound event.



The probability of spinning a number less than 3 and flipping tails is
.
You spin the spinner and flip a coin. Find the probability of the compound event.



The probability of spinning a number less than 3 and flipping tails is
.
.

Answers

Answer:

The probability of spinning a 6 and flipping tails is 0

The probability of spinning a number less than 3 and flipping tails is 1/5

Step-by-step explanation:

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 6.

Answers

Answer:

1/2

Step-by-step explanation:

There are 12 equally likely outcomes.

There are 6 numbers greater than 6 (7, 8, 9, 10, 11, 12)

Take the number of possible outcomes and divide it by the total number of outcomes.  6/12 is 1/2

Students painted 1/2 the wall in the gym with 3 colors. Each color takes up the same amount of space on the wall. What fraction of the wall does each color occupy?

Answers

1/2 divided by 3 is 1/6

Hope this helps :D

what is the slope of this graph?

Answers

Answer:

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Step-by-step explanation:

-3/1 rise 3 run 1 its negative because it’s going to the right

Question 10 of 10
Given the polynomial function below, find F(-5).
F(x) = x2 - 2x-7
O A. -22
B. 42
O C. 8
D. 28

Answers

Answer:

D. 28

Step-by-step explanation:

We are given the following polynomial function:

[tex]F(x) = x^2 - 2x - 7[/tex]

Find F(-5).

This is the value of F for which [tex]x = -5[/tex]. So

[tex]F(-5) = (-5)^2 - 2(-5) - 7 = 25 + 10 - 7 = 28[/tex]

28, which means that the correct answer is given by option D.

Can somebody please help me!!!!

Answers

Answer:

first is 180

second is 270

third is 90

Answer:

Step-by-step explanation:

у = -x + 2
y = 2x + 5

Answers

Use substitution
-x + 2 = 2x + 5
2 = 3x + 5
-3 = 3x, x = -1
Plug into any equation to find y
y = -(-1) + 2
y = 1 + 2 = 3

Solution: x = -1, y = 3

Answer:

x= -1

Step-by-step explanation:

-x+2= y =2x+5

-x+2=2x+5 /+x

2=3x+5 /-5

-3=3x

x= -1

Find the area of the circle. Round to the nearest tenth. Use 3.14 forn.
24 m

Answers

Just use 3.14 form to get your nearest tenth answer

What is the surface area of the given figure?

A. 2564 cm
B. 2276 cm
C. 2184 cm
D. 1160 cm

Answers

Answer:

A

Step-by-step explanation:

A journey takes 3 hours at an average speed of 30 km per hour. How long will this journey take at 45 km per hour?

Answers

If it takes 3 hours at 30 km per hour than that 90 km total distance and at 45 km per hour that would mean that distance would be travelled in 2 hours. So the answer should be 2 hours

Triangle ABC is transformed to obtain triangle A'B'C'. Identify the transformation.

Answers

Answer:

think it’s (-x,-y)

I’m not sure


HELP PLZZZZZZZZZZZZZZXZXXXZZZZXZZX

Answers

Answer:

c

Step-by-step explanation:

4×2=2in

100÷2=50%

so it is c

Answer:

Point C

Step-by-step explanation:

Point C is half way on the line

There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks another pen

Answers

What’s the question here?

Solve the x in the equation x2+11x+121/4=125/4

Answers

Answer:

see the screen shot it has the answer and explanation (thumbs up)

Step-by-step explanation:

x = - 1/11

Hope this helps

twice the difference of a number and 7 is at least -21
Use the variable c for the unknown number.
Translate the sentence into an inequality

Answers

Answer:

Step-by-step explanation:

Difference of a number and 7 = c - 7

Twice the difference = 2*(c - 7) = 2*c - 7*2 = 2c - 14

2c - 14 ≥ -21

Which two factors of 48 contain a factor that is a prime number

Answers

Answer:

3 and 16

Step-by-step explanation:

What is the volume of the cone below?
O A. 1087 units 3
B. 144r units3
4
O c. 432rr units 3
O D. 216r units 3

Answers

answer d

Step-by-step explanation:

because I learned this

Answer: 144 pi units^3

Step-by-step explanation:

Which is true of an adjustable rate mortgage?

Answers

Answer:

The rate of interest may vary , totally depends on the market value of that agency or company or the financial agency which is providing the mortgage money at certain rate. So, option (B) the interest rate may change depending on the condition of the economy is true statement regarding adjustable rate mortgage.Step-by-step explanation: hope it helps

Jackson purchased $5,200 worth of electronic equipment from BetterBuy on their deferred payment plan. The plan
allows the customer to make no down payment and no payment at all for five months. If the entire amount is paid in
full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going
back to the first month. How much would it cost Jackson in finance charges if he misses the 5-month deadline?

Answers

Answer:

If Jackson misses the 5-month deadline, it will cost him $429 in finance charges.

Step-by-step explanation:

Since Jackson purchased $ 5,200 worth of electronic equipment from BetterBuy on their deferred payment plan, and the plan allows the customer to make no down payment and no payment at all for five months, while if the entire amount is paid in full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going back to the first month, to determine how much would it cost Jackson in finance charges if he misses the 5-month deadline the following calculation should be performed:

5,200 x (1 + (0.198 / 12 x 5)) = X

5,200 x (1 + (0.0165 x 5)) = X

5,200 x (1 + 0.0825) = X

5,200 x 1.0825 = X

5.629 = X

5,629 - 5,200 = 429

Therefore, if Jackson misses the 5-month deadline, it will cost him $429 in finance charges.

If the probability of winning a slot machine is 5% and you are going to play 500 pulls. Using a normal approximation. What’s the probability that you win less than 40?

Answers

Answer:

0.9986 = 99.86% probability that you win less than 40

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

The probability of winning a slot machine is 5% and you are going to play 500 pulls.

This means that [tex]p = 0.05, n = 500[/tex]

Mean and Standard deviation:

[tex]\mu = E(X) = np = 500*0.05 = 25[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.05*0.95} = 4.8734[/tex]

What’s the probability that you win less than 40?

Using continuity correction, this is P(X < 40 - 0.5) = P(X < 39.5), which is the pvalue of Z when X = 39.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39.5 - 25}{4.8734}[/tex]

[tex]Z = 2.98[/tex]

[tex]Z = 2.98[/tex] has a pvalue of 0.9986

0.9986 = 99.86% probability that you win less than 40

Please help ! Please help!

Answers

Answer:

The answer is 75 degrees.

Step-by-step explanation:

The explanation is that the the supplementary angle to 80 is 100 since a straight line has an angle of 180, now the 100 degree angle is congruent to the angle x + 25 which means that x + 25 is equal to 100 so x is 75

because we know that the top angle is 80, we now know that the top angle below is also 80. A line is 180 degrees. So when you 180 - 80, you get 100. Because it says x + 25, you know the total is 100.
so its X + 25 = 100
X = 100 - 25
X = 75
sorry if this was confusing i tried my best, hope this helps!!

HELP ASAP I WILL MARK BRAINLEY

Explain how to solve the equation and how to check the solution. 40 = Sy​

Answers

Answer:

y = 5

Step-by-step explanation:

40 = 8y

divide both sides by 8, isolating y by itself:

40/8 = 8y/8

5 = y

rearrange the equation so the y is on the left side

y = 5

The answer is y = 5

We can check by plugging in y = 5 into the original equation:

40 = 8y

40 = 8(5)

40 = 40

correct

i don't really understand this

Answers

Answer:

sum

1.-28

2.5/4

3. -9.4

4. 33

5. 4.6

6. 2.4

7. -4.2

DIFFERENCE

8. -2.5

9. -7

10. 3/10

11. -31/36

12. -29/18

13. 16

14.-5/9

Step-by-step explanation: hoped this helped :))

Question 7 of 19
A right cylinder has a radius of 4 and a height of 11. What is its surface area?
A. 1527 units2
B. 887 units2
C. 120 units2
D. 607 units2
SUBMIT

Answers

C, 120 units2 is the answer

A random sample of students was surveyed on what they eat for lunch at school. The results are shown in the table
below.
Lunch Item
Number of Students
Pizza
52
Salad
26
Burger
30
Chicken Sandwich
48
Brought lunch from home
44
If the school has 1,000 students, about how many students can the cafeteria expect to buy pizza?
208
1,000
260
52

Answers

Answer:

260

Step-by-step explanation:

you would divide 52/200 because all the numbers added up is 200 and it comes out to 0.26 and the original number of students they wanted is 1,000 so look at those zeros and move the decimal 3 times and add the zero in the empty space to get 260.

A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy pizza is 260.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the number of students to the number of total students can be written as,

Ratio = (Number of students)/(Number of total students)

Ratio = 52/(52+26+30+48+44) = 52/200

Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,

Number of students who prefer pizza = 1000 × (52/200) = 260

Hence, the number of students the cafeteria should expect to buy pizza is 260.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ2

When solving a system of equations algebraically, which statement results in no solution?

Answers

Answer:

all of these

0 does not equal 1

4 does not equal 7

2 does not equal -2

-3 does not equal 3

All of the given equations have no solution.

What are system of equations in mathematics?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. They are of the form -

        ax + by + c = 0

        dx + ey + f = 0

We have the given system of linear equations that has no solutions.

For no solutions, the final equation should be of the form -

α = β

where [α] and [β] are constant integers.

So all the equations result in no solution.

Therefore, all of the given equations have no solution.

To solve more questions on system of equations, visit the link below-

brainly.com/question/1126982

#SPJ2

Reflect B (6,5) across the X axis. What would the new coordinate be?

Answers

Answer:

(6,-5)

Step-by-step explanation:

-6,-5
Switches to negative Bc it’s positive
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