1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iren2701 [21]
3 years ago
12

Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil

ity that the number drawn is a multiple of 3 AND a multiple of 5 ?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer:

Probability = \frac{2}{35}

Step-by-step explanation:

Given

Total = 70

First, we need to list the multiples of 5

M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}

Then, multiples of 3M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}

Next, is to list out the common elements in both

M_3\ n\ M_5 = \{15,30,45,60\}

n(M_3\ n\ M_5) = 4

The required probability is then calculated as thus:

Probability = \frac{n(M_3\ n\ M_5)}{Total}

Probability = \frac{4}{70}

Probability = \frac{2}{35}

You might be interested in
Bob is a bus driver, and his monthly salary is $1510. If the New York State income tax rate is 6.45%. How much did the money ded
viva [34]

Answer:

<h2>i. $97.4</h2><h2>ii. $1412.6</h2>

Step-by-step explanation:

step one:

given data

Bob's  monthly salary is $1510

tax= 6.45%

Required

The deduction and his take-home salary

Step two:

let us compute the deduction

=6.45/100*1510

=0.0645*1510

=$97.4

Let us compute his take home

=monthly salary- tax deduction

=$1510-$97.4

=$1412.6

6 0
3 years ago
Mia had $22. Then she started to receive $4 a week as an allowance. She plans to save all of her money for a bicycle and draws a
saw5 [17]

Answer:

first y then x because y represents 22 and x represents 4 a week.

8 0
3 years ago
If six people decide to come to a basketball game, but three of them are only 2/5 sure that they will stay for the entire time (
exis [7]

Answer:

the probability that at the end, at least 5 people stayed the entire time = 0.352

Step-by-step explanation:

From the question, 3 of the people are sure to stay the whole time. So, we'll deduct 3 from 6.which leaves us with 3 that are only 2/5 or 0.4 sure that they will stay the whole time.

Thus, what we need to compute to fulfill the probability that at the end, at least 5 people stayed the entire time of which we know 3 will stay, so for the remaining 3,we'll compute;

P[≥2] which is x~bin(3,0.4)

Thus;

P(≥2) = (C(3,2) x 0.4² x 0.6) + (C(3,3) x 0.4³)

P(≥2) = 0.288 + 0.064

P(≥2) = 0.352

7 0
3 years ago
55% as a fraction in simplest form.
nirvana33 [79]
Answer: 11/20
55/100 simplified is 11/20
3 0
3 years ago
A pair of shoes is on sail for 30% off. The original price is p. Which expression can be used to find the price of the shoes aft
Vladimir79 [104]

Answer:


Step-by-step explanation:

.30 x p = ___

p - ___ = price of shoes after the discount

5 0
3 years ago
Other questions:
  • Rebecca has 45 coins, all nickels and dimes. The total value of the coins is $3.60. How many
    12·1 answer
  • Write a real-world problem that can be represented by the algebraic equation shown
    7·2 answers
  • Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That ta
    13·2 answers
  • To prove "p is equal to q" using an indirect proof, what would your starting assumption be?
    10·1 answer
  • HELP PLEASE
    9·1 answer
  • What are the first four terms if the sequence represented by the expression n (n-1) -4?
    12·1 answer
  • Question number 21 and 22 if possible
    8·1 answer
  • Which of these representations could model the same relationship? Select ALL that apply
    6·1 answer
  • 49. Dave invests 8000 in the stock market only to see his shares plummet in value to 2020.
    13·2 answers
  • Celia is scheduled to work a total of 20 hours this week. So far she has worked
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!