There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction

Answers

Answer 1

Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.

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

In this problem, supposing that the first person chosen is a boy:

There will be 27 students.Of those, 12 are going to be boys.

Hence:

[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]

There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.

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If line AB is congruent to line CD then CD is congruent to AB what property

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Transitive property

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X=12 because 73-3x=61-2x so add 3x to both to make 73=61+X then subtract 61 from both to get 12=X

Which climate zone generally receives the least amount of the
sun's energy?
a) tropical zone
b) subtropical zone
c) temperate zone
d) subpolar zone

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Answer:

d) subpolar zone

[tex]\sqrt3+2\sqrt2 - \sqrt6-4\sqrt2[/tex]

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if f(x)=3x-15 and g(x)=2x+11; find f(g(2))

Answers

Answer:

f(g(2)) = 30

Step-by-step explanation:

Evaluate g(2) , then substitute the value obtained into f(x)

g(2) = 2(2) + 11 = 4 + 11 = 15 , then

f(15) = 3(15) - 15 = 45 - 15 = 30

Step-by-step explanation:

[tex]f(x) = 3x - 15 \\ g(x) = 2x + 11 \\ f(g(x)) = 3(2x + 11) - 15 \\ f(g(x)) = 6x + 33 - 15 \\ f(g(x)) = 6x + 18 \\ f(g(2)) = 6(2) + 18 \\ f(g(2)) = 12 + 18 \\ \boxed{f(g(2)) = 30}[/tex]

f(g(2)) = 30 is the right answer.

how do you solve n - 8 > 5

Answers

Answer:

n great than 13.

hope this isn't wrong

The solution to the inequality is n > 13. This means that any value of n greater than 13 will satisfy the inequality.

Given is an inequality n - 8 > 5, we need to solve it,

To solve the inequality "n - 8 > 5," you can follow these steps:

Step 1: Add 8 to both sides of the inequality to isolate the variable n.

(n - 8) + 8 > 5 + 8

n - 8 + 8 > 13

n > 13

Step 2: Simplify the inequality.

n > 13

Hence the simplified inequality is n > 13.

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2 shops sell luxury chocolates.
Shop A : 200 g for £2.90
Shop B: 150 g for £2.15
Which shop offers the best value for money?

Answers

Answer:

shop b

Step-by-step explanation:

Find the next three terms of the arithmetic sequence.

-14, -19, -24, . . .

Answers

Answer:

-29, -34, -39

Step-by-step explanation:

the numbers are going down by five each time.

-24-5=-29

-29-5=-34

-34-5=-39

Hope this helps!

Answer:

-29

Step-by-step explanation:

because -14 and -19 is minus 5

In the algebraic expression 5x + 8y – 12z, the values 5, 8, and –12 are _____

Answers

Answer:

Coefficients!!!

Step-by-step explanation:

They're numbers that are multiplied by a variable.

Answer:

Step-by-step explanation:

I believe the answer would be coefficients. Coefficients are the number that is being multiplied by the variable.

Solve for B
A=3B+4C
B=?​

Answers

Answer:

[tex]3b + 4c = a[/tex]

[tex]3b = a - 4c[/tex]

[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4}{3} [/tex]

[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4c}{3} [/tex]

[tex]b = \frac{a}{3} + \frac{ - 4c}{3} [/tex]

[tex]b = \frac{a}{3} - \frac{4c}{3} [/tex]

Step-by-step explanation:

Thanks!!!!!

z−4/9−1/3=5/9 Enter your answer as a fraction in simplest form in the box. z =

Answers

Answer:

z = 4/3 or 1 1/3

Step-by-step explanation:

z−4/9−1/3=5/9

Change 1/3 to have a denominator of 9

1/3 *3/3 = 3/9

z−4/9−3/9=5/9

Combine like terms

z -7/9 = 5/9

Add 7/9 to each side

z-7/9+7/9 = 5/9+7/9

z = 12/9

z=4/3

or as a mixed number

z = 1 1/3

9×8 break up into expressions

Answers

9+76578=I the ready is about the long one

AYUDA porfavor

asdfghjk,l.

Answers

Answer:

english please?

Step-by-step explanation:

Answer:

english pls

Step-by-step explanation:

just do a c e g and i​

Answers

Answer:

A, 1.57

C.0.971

E.88.3

G.3.28

I.72.9

Answer:

a) 0.47÷0.3 =1.567

c)0.068÷0.07 =0.971

e)0.53÷0.006=88.333

g)3.61÷1.1=3.282

I)6.56÷0.09=73.889

i don't understand this question somebody help

Answers

Answer:

Explanation is in a file

B.
E.
20 cm
7 cm
11 cm
-
Find volume

Answers

Step-by-step explanation:

The volume of cylinder = [tex]\pi r^{2}h[/tex]

The radius of cylinder = 20 ÷ 2 = 10

The volume of cylinder = [tex](\frac{22}{7})(10^{2} )(7)[/tex]

= [tex](22)(100)[/tex] = 2200

please give me a brainliest answer

Answer:

Volume of cylinder = 2,198 cm

Solution:

volume of a cylinder = area of base(pi × radius²) × altitude (height)

Volume = πr² × altitude

V = 3.14 × 10² × 7

V = 3.14 × 100 × 7

V = 314 × 7

V = 2,198 cm

Can you help me find x
8th grade math

Answers

Answer:

x=53

Step-by-step explanation:

all triangles equal 180° the little lines on each side mean both sides are same length so all u gotta do is

180-74=106

106/2= 53

Answer:x=52

180-74=104

104 divided by 2 to get 52

Step-by-step explanation: you would have to divide because both sides are the same size so they would be even. so that is how you would get the answer 52

Pls help with these questions!!!

Answers

Answer:

[tex]9 \times 9 - 3 = 81 - 3 = 78[/tex]

After 3.5 days, the height of the plant is ______
centimeters.

The height of the plant is 6.25 centimeters after _______
days.

Answers

Answer: I think this is what the top answer meant. Let me know if I am wrong though!

After 3.5 days, the plant is 5.75 centimeters tall, and after 4.5 days, it is 6.25 centimeters tall.

Given that a function h = 0.5d + 4 showing the height h of a plant in d days,

So, the equation of the line is:

h = 0.5d + 4

For 3.5 days put d = 3.5,

h = 0.5(3.5) + 4

h = 5.75 cm

To find the number of days after height of the plant is 6.25 centimeters.

Put h = 6.25,

6.25 = 0.5d + 4

2.25 = 0.5d

d = 4.5 days

Hence, the plant is 5.75 centimeters tall after 3.5 days and 6.25 centimeters tall after 4.5 days.

Learn more about functions here:

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Complete question is attached.

Can someone please tell me the answer

Answers

Answer:

36 since they are similer triangles

Longer process:

24/24 = 36/x

solve this and you get 36

Help please help me

Answers

Answer:Hi

Step-by-step explanation:  

For how many values of x is the function _____ discontinuous?

Answers

Answer:

Step-by-step explanation:

2 values

x^2-1=0

x^2=1

x=±1

thes are the two values for which the function is discontinuous.

Which of the following systems of inequalities has no solution?

Answers

Answer:

c

Step-by-step explanation:

See the attached graph.  There's no overlap between the two individual solution sets.

how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction

Answers

Answer:

negative direction

Step-by-step explanation:

A negative and a positive make a negative:

1/5 + (-4/5) = 1/5 - 4/5

Hope this helps!

HELP

Convert log xy = 1/2 to exponential form

a. x^y=1/2

b. y^x=1/2

c. square root of x=y

d. square root of y=x

Answers

Logxy =1/2

10^1/2=xy
Square root of 10=xy

Answer:

Logxy =1/2

Step-by-step explanation:

please help i need help

Answers

Answer:

fractions

d

its right answer

Answer:

The answer to your question is D Fractions

Step-by-step explanation:

Fractions and decimals are two different ways to represent parts of a whole number.

I hope this helps!

what is

4 divided by 1/5

3 divided by 2/3

3 divided by 3/4

4 divided by 2/5

9 divided by 1/2

7 divided by 1/12

5 divided by 2/6

2 divided by 1/4​

Answers

Step-by-step explanation:

0.50.9divides very well

Answer:

1. 4  divided by 1/5 = 20

2. 3 divided by 2/3= 9/2

3. 3 divided by 3/4= 4.5

4. 4 divided by 2/5= 10

5. 9 divided by 1/2= 18

6. 7 divided by 1/12= 84

7. 5 divided by 2/6= 15

8. 2 divided by 1/4= 8

Step-by-step explanation:

i used my fraction calculator

Multiple Choice Find the mean: 12, 8, 7, 10, 8, 8, 10

Answers

Answer:

The mean is 9

Step-by-step explanation:

To find the mean, all you do is add up all the numbers and then divide by how many numbers there are. In this case, adding all then numbers up gives you 63, and there are a total of 7 numbers. 63 divided by 7 =9

I NEED HELP FAST! WHOEVER GETS RIGHT GETS BRAINLY Explain how to evaluate the expression 4x+10 for x=5.

Answers

Evaluating expressions involve substituting the given value for x into the equation.

If x = 5:

4x + 10 = 4(5) + 10 = 20 + 10 = 30

Therefore, 4x + 10 = 30 when x = 5.

i dont understand this

Answers

Answer:

18°

Step-by-step explanation:

1. ∠A and ∠B are complementary angles, so they add up to 90°.

This means that 2x - 4 + 5x + 17 = 90

2. To find the measure of ∠A, we first have to solve for x.

3. (Solving)

Step 1: Simplify both sides of the equation.

[tex](2x+5x)+(-4+17)=90[/tex] [tex]7x+13 = 90[/tex]

Step 2: Subtract 13 from both sides.

[tex]7x + 13 - 13 = 90 - 13[/tex] [tex]7x = 77[/tex]

Step 3: Divide both sides by 7.

[tex]\frac{7x}{7} = \frac{77}{7}[/tex] [tex]x = 11[/tex]

4. Now that we know x = 11, let's plug that value into (2x - 4) to find the measure of Angle A.

[tex]2(11)-4[/tex] [tex]22-4[/tex] [tex]18[/tex]

Therefore, the measure of ∠A = 18°.

Answer:

m<A = 18

Step-by-step explanation:

Since <A and <B are complementary angles, that just means those 2 angles combined equal 90:

<A + <B = 90

2x - 4 + 5x + 17 = 90

7x + 13 = 90

7x = 90 - 13

7x = 77

x = 77/7

x = 11

m<A:

2x - 4

2(11) - 4

22 - 4

18

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