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Bumek [7]
2 years ago
5

A bag contains 15 counters:7 red 4 blue and 4 green.a counter is taken out of the bag at random.what is the probability of choos

ing the following: a red or blue counter.
​
Mathematics
2 answers:
Leto [7]2 years ago
6 0

Answer:

RED COUNTER: 7/15

BLUE COUNTER: 4/15

<em>Hope it helps,</em>

<em>for further explanation do contact me</em>

Nikitich [7]2 years ago
3 0

|\Omega|=15\\|A|=7+4=11\\\\P(A)=\dfrac{11}{15}\approx73.3\%

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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
If Sarah had eight apples and she ate two apples how many apples did she eat
MAVERICK [17]
She ate two apples. Six apples would be left if you subtracted 2 from 8.
5 0
2 years ago
8 kids bought a 3 cakes. How many equal parts will need to divide it so that everyone can have it. Easy one! ​
Vladimir79 [104]

Answer:

3/8 is your answer.

Step-by-step explanation:

Given:

<em>8 kids bought a 3 cakes.</em>

Required:

<em>How many equal parts will need to divide it so that everyone can have it.</em>

Solution:

3/8

Hope this helps ;) ❤❤❤

8 0
3 years ago
Read 2 more answers
Please help and explain how you solved it. Thanks.
galina1969 [7]

Answer:

This is 0.14 to the nearest hundredth

Step-by-step explanation:

Firstly we list the parameters;

Drive to school = 40

Take the bus = 50

Walk = 10

Sophomore = 30

Junior = 35

Senior = 35

Total number of students in sample is 100

Let W be the event that a student walked to school

So P(w) = 10/100 = 0.1

Let S be the event that a student is a senior

P(S) = 35/100 = 0.35

The probability we want to calculate can be said to be;

Probability that a student walked to school given that he is a senior

This can be represented and calculated as follows;

P( w| s) = P( w n s) / P(s)

w n s is the probability that a student walked to school and he is a senior

We need to know the number of seniors who walked to school

From the table, this is 5/100 = 0.05

So the Conditional probability is as follows;

P(W | S ) = 0.05/0.35 = 0.1429

To the nearest hundredth, that is 0.14

3 0
3 years ago
Roberto is going to make 11 pounds of holiday fudge this weekend he wants to give the fudge away as Christmas presents to 12 of
Vilka [71]

Answer: 0.92 pounds

Step-by-step explanation:

Roberto will make 11 pounds of fudge but wants to give it away as presents to 12 friends.

Each friend will therefore get;

= 11 pounds/ 12

= 0.92 pounds

6 0
2 years ago
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