rom the sample space S=​{1, ​2, 3,​ 4,..., 15} a single number is to be selected at random. Given the following​ events, find the indicated probability. ​A: The selected number is even. ​B: The selected number is a multiple of 4. ​C: The selected number is a prime number. ​P(C∣A​)

Answers

Answer 1

The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively

What is Probability?

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given the following set

S=​{1, ​2, 3,​ 4,..., 15}

n(S) = 15

If the selected number is even

E = {2, 4, 6, 8, 10, 12, 14}

n(E) = 7

Pr(selecting even number) = n(E)/n(S)

Pr(selecting even number) = 7/15

If the selected number is a multiple of 4

E = {4, 8, 12}

n(E) = 3

Pr(multiple of 4) = n(E)/n(S)

Pr(multiple of 4) = 3/15 = 1/5

If the selected number is a prime number

E = {2, 3, 5, 7, 11, 13}

n(E) = 6

Pr(prime number) = n(E)/n(S)

Pr(prime number) = 6/15 = 2/5

Learn more on probability here: https://brainly.com/question/25870256


Related Questions

Susan gave 1/6 of a pizza to her brother. She gave 1/3 of what was left to
her mother. Susan ate the rest herself. What fraction of the pizza did Susan
eat?
°1/2
°1/9
°1/18
°5/9

Answers

Answer:1/2

Step-by-step explanation: after giving some to her brother she has 5/6 left to take 1/3 from that you need to make it have a common denominator. to do that multiply it by 2 so you get 2/6. then do 5/6-2/6=3/6. 3/6 simplied is 1/2.

If the cube shown above is sliced by a plane to create a triangle, which sets of vertices could the plane pass through?
A.
4, 5, and 7
1, 2, and 7
2, 3, and 7

B.
1, 3, and 4
2, 3, and 8
1, 3, and 7

C.
3, 5, and 8
1, 2, and 6
2, 4, and 7

D.
4, 5, and 7
1, 3, and 8
2, 4, and 7

Answers

Answer:

The correct answer is D.

4, 5, and 7

1, 3, and 8

2, 4, and 7.

Hope this helps you czn!!!!!

Thankyou For joining Brainly Community!!!!

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Answer: the correct answer is d .

4,5 and 7

1,3 and 8

2,4 and 7

Step-by-step explanation: I HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

Solve the equation for x. Assume a≠0. 4=ax−14

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \tt \dashrightarrow \:4 = ax - 14[/tex]

[tex]\qquad \tt \dashrightarrow \:ax = 4 + 14[/tex]

[tex]\qquad \tt \dashrightarrow \:ax = 18[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \dfrac{18}{a}[/tex]

Charlie is riding his bicycle. He rides 44.8 kilometers in 7 hours. What is his speed in kilometers per hour?

Answers

You would do 44.8/7 = 6.4kmph
This is because it’s distance / time

what is the answer because i dont know

Answers

Answer:

x° = 68°

Step-by-step explanation:

angle EGB = x° = angle AGF = complementary angle of 22°

The complementary angle of 22° is :

[tex]x^{o} =(90-22)^{o} =68^{o}[/tex]

Hope this helps

save my exams
Head to savemyexams.co.uk for more awesome resources
sestion 1
In one week, Neha spends hours cooking and y hours cleaning.
The time she spends cleaning is at least equal to the time she spends cooking.
This can be written as y > r.
She spends no more than 16 hours in total cooking and cleaning.
What are the two inequalities in x and /or y to show this information

Answers

Answer:

Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R

The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.

__________________________________________________________

Questions?

Ask in the comments box.

This is the same triangle you used for Question 2. Triangle ABC has angle measures as shown below. Using the information in the diagram, and the value of x that you calculated i Question 2, find the measure of Angle C. In your answer, give the measure of Angle C and explain how you calculated it. ​

Answers

Answer:

93

Step-by-step explanation:

So, you know the angles of a triangle added together is 180.

180-52-35=93

Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² =-7
A. - 77
B. 49
C.-3.5
D. 17
DE.-7.
DF. None of these

Answers

Answer:C is the right answer

Step-by-step explanation:

9. Find the value of x. Round your answer to the nearest tenth.
sin Xº = 4/15

Answers

Answer: 15.5 degree

Step-by-step explanation:

You make a shade of green icing using 2 drops of yellow food coloring for every 4 drops of blue. How many drops of blue food coloring would you need if you use 4 drops of yellow food coloring? how many drops of blue food coloring would u need if you use 4 drops of yellow food coloring ​

Answers

Answer:

8 drops of blue

Step-by-step explanation:

You doubled the yellow from 2 drops to four

  so double the blue from 4 to 8

Which of the following means greater than or equal to?
A. Aleast
B. Maximum
C. Not greater than
D. At most

Answers

Answer:

at least

Step-by-step explanation:

i don't know how to fully explain it, but by saying "atleast x" you're saying the minimum value it can be will be x. Maximum means it will not exceed that number, along with "not greater than" and "at most"


What is the measure of BDC?

Answers

Answer:

250 degrees

Step-by-step explanation:

180-55 = 125

360-125= 250

Write the equation of the line with a slope of 6 and pass-through (-2,-4)

Answers

Answer:

y=6x+8

Step-by-step explanation:

y=mx+b

-4=6(-2)+b

-4=-12+b

8=b

Find the value of x. X+5 4 2x A x = [?] Enter​

Answers

Answer:

x = 3

Step-by-step explanation:

In [tex]\triangle ABC,\: DE||AC[/tex]

[tex]\implies [/tex]By Basic Proportionality Theorem:

[tex]\frac{BD}{DA}=\frac{BE}{EC} \\ \\ \implies \: \frac{x + 5}{2x} = \frac{4}{3} \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = \frac{ - 15}{ - 5} \\ \\ \implies \: x = 3[/tex]


In the figure below, L is parallel to M. Find X

Answers

Answer:

Let's first try to find the angle supplementary to measure 141°.

(Supplementary angles are two angles that add up together to equal 180°).

Set up an equation;

141 + x(unknown angle measure) = 180°

Solve for x:-

141 + x = 180

-141        -141

x = 39°.

Now that we've found one of the interior angles measure to this triangle, we will use this value to figure out the angle measure next to 'x'.

If we think of the line (highlighted in the picture I attached to this), extended, we can kind of make out of this line as a transversal cutting into the two parallel lines(L & M).

Furthermore, the measured angle 39°, is an alternate interior angle with the missing angle next to 'x'(highlighted with yellow in my picture).

And, alternate interior angles are congruent(meaning they measure the same degree).

Therefore, we can infer that the missing angle next to 'x' is also 39°.

Now that we've found one angle measure and another angle(given) next to x, we can see that angle x and those two angle measures (48° and 39°) combined are supplementary!

So now that we know that angles 48° and 39° are supplementary with x, we can find the value of x by finding it's supplement value!

Arrange an equation;

(48 + 39) + x = 180°

Simplify and solve for x:-

87 + x = 180

-87        -87

x = 93°, hence ∠X = 93°.

answer this. pleaaaaseeee

Answers

Answer:

look at analysis

Step-by-step explanation:

11. 23.81

12.

part A

y is 12 and x is 4

part B

4

part C

5×12×4

240

An unknown number x is at most 10. Which graph best represents all the values of x?

Answers

Answer:

It is the last one.

Step-by-step explanation:

I know Math :)

The bottom graph, as the black dot represents less than or equal to

Calculate the perimeter of the following figure.
11 inches
4 inches
3 inches
4 inches
7 inches

Answers

Answer:

29 inches

Step-by-step explanation:

add all the sides

11+4+3+4+7=29

Answer:

29 inches

Step-by-step explanation:

⇒ Perimeter = Sum of the lengths of the sides

⇒ P = 11 + 4 + 3 + 4 + 7

⇒ P = 18 + 11

⇒ P = 29 inches

find the value of X in the figure below and on the Centre of carde O​

Answers

Answer:

x=55°

Step-by-step explanation:

180_70( radii,sum of ^'s of a ∆)

=110

110%2(^at centre=2×^at the circum)

x=55°

can somebody help me please

Answers

Answer:f(4) = 122

________________________________________________

Calculate

[tex]Substitute\ x=4\ into\\ f(x)=7x^2+4x-6[/tex]

_________________________________________________

Substitute

[tex]f(4)=7\times 4^2+4\times 4-6[/tex]

___________________________________________________

Calculate the power

[tex]f(4)=7\times 16+4\times 4-6[/tex]

___________________________________________________

Calculate the product or quotient

[tex]f(4)=112+4\times 4-6\\ f(4)=112+16-6[/tex]

___________________________________________________

Calculate the sum or difference

[tex]f(4)=128-6\\ f(4)=122[/tex]

I hope this helps you

:)

Can someone tell me what I did wrong here

Answers

Answer:

should have divided it directly ........ maybe or it's just messy........ maybe

Step-by-step explanation:

..........

...........

8x + 16 = 36

8x = 36 - 16

8x = 20

x = 20 / 8

x = 2.5

Write 8.6 × 10–3 as a basic numeral.

Answers

Answer:

[tex]8.6\times 10^{-3}=0.0086[/tex]

Step-by-step explanation:

The resistance, R, of a wire varies directly as its length
and inversely as the square of its diameter. If the
resistance of a wire 300 ft long with a diameter of
0.09 inches is 17113 ohms what is the resitance of
900 ft of the ame type of wire with a dister of
0.39 inches
Round off your final answer to the nearest hundredth.

Answers

Answer:

2733.73

Step-by-step explanation:

[tex]r = \frac{kl}{ {d}^{2} } [/tex]

[tex]17113 = \frac{300k}{ {0.09}^{2} } [/tex]

[tex]k = 0.462[/tex]

[tex]r = \frac{0.462 \times 900}{ {0.39}^{2} } [/tex]

[tex]r = 2733.73[/tex]

[tex]\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{array}{llll} \textit{\tiny "R" varies directly}\\ \textit{\tiny with "L" and inversely}\\ \textit{\tiny as the square of "d"} \end{array}~~R=\cfrac{kL}{d^2}\qquad \qquad \textit{we also know that} \begin{cases} L=300\\ d=0.09\\ R=17113 \end{cases} \\\\\\ 17113=\cfrac{k(300)}{0.09^2}\implies 17113(0.09^2)=300k \\\\\\ \cfrac{17113(0.09^2)}{300}=k\implies 0.462051 = k~\hfill \boxed{R=\cfrac{0.462051L}{d^2}}[/tex]

[tex]\textit{when L = 900 ft and d = 0.39 in, what is "R"?} \\\\\\ R=\cfrac{0.462051(900)}{0.39^2}\implies R\approx 2734.03[/tex]

The perimeter of the rectangle below is 222 units find the length of side RS

Answers

Answer:

111

Step-by-step explanation:

divide 222 by 2 and you get your answer

Answer:

55.5

Step-by-step explanation:

since we don't know the length or width of any side, one length side will only be 1/4 of 222. And perimeter is all the sides added up. This rectangle will actually be a square.

222/4=55.5

How much will $2000 deposited in an account earning 5% interest compounded
annually be worth in 20 years?

Answers

Answer:

Interest = 2000

Total = 4000

Step-by-step explanation:

The formula to find interest:

Interest = Original Amount x Rate x Time.

Substitute the numbers into the formula.

I = 2000 x 0.05 x 20

You must change the percentage to a decimal.

Solve for I

I = 2000 x 0.05 x 20 = 100 x 20 = 2000

The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.

2000 + 2000 = 4000

I hope this helps and please mark me as brainliest!

10)A shirt normally costs £42. If you receive a 15% discount, how much change will you get from £50? o £35.70 o £23.00 o £8.00 o £14.30​

Answers

Answer:

35.70

Step-by-step explanation:

because 15% of 42 is 6.3 and 6.3 - 42 = 35.70

HELPPPPPPPPPP!!!!!!!!!!!!!

Answers

A. true

B. false

C. false

D. false

hope it helps

have a good day :)

if 8 pieces are 220 calories how many calories is 1 piece

Answers

Step-by-step explanation:

8 pieces = 220 colories

1 piece = 220/8 = 27.5 calories

Answer:

27.5

Step-by-step explanation:

8 divided by 220 = 27.5

Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that

And Hope This Helps

Solve for the value of k.
(k+1)°
42°

Answers

Well first you subtract 90 and 47 since you see that little square it mean 90 degrees so therefore. you would get 43 for your answer Then you do

k+1=43
-1 -1
————
k= 42


Hope this helped !!!

Lillian spent 18 minutes practicing her spelling words. How many seconds did she practice?

Answers

Answer:

1080 seconds.

Step-by-step explanation:

There are 60 seconds in a minute. As provided in the question, Lillian spent eighteen minutes, so 18x60=1080.

Answer:

1,080 seconds

Step-by-step explanation:

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