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Sav [38]
3 years ago
8

A and B are two events. Let P(A)=0.5 , P(B)=0.9 and P(A and B)=0.15 .

Mathematics
1 answer:
Nana76 [90]3 years ago
5 0

Answer:

option-C

Step-by-step explanation:

we are given

Let P(A)=0.5

P(B)=0.9

P(A and B)=0.15

we know that

P(A|B)=\frac{P(Aand B)}{P(B)}

now, we can plug values

P(A|B)=\frac{0.15}{0.9}

P(A|B)=0.16666

but we have

P(A)=0.5

we can see that both are not equal

P(A|B)\neq P(A)

so, A and B are not independent

so, option-C........Answer


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Juanita says that 3.5[4d - (2) (1.5)] and 2[7d - (5)(1.05)] are equivalent. Is Juanita correct? Explain your reasoning.
valkas [14]

Answer:

Yes

Step-by-step explanation:

3.5 [4d - 2*1.5] = 3.5*4d - 3.5*2*1.5

                        = 14d - 10.5

2*[7d - 5*1.05] = 2*7d - 2*5*1.05

                       = 14d -  10.5

When we are simplifying both the expression using distributive property, we get the same expression at the end.

8 0
3 years ago
A bag contains 5 yellow marbles, 7 pink marbles, and 3 purple marbles. Gordon selects a marble without looking. What is the prob
balu736 [363]
It is an 8/15 probability. there are 15 marbles total (5y+7p+3pl=15) 

5/15y, 7/15p, 3/15.

5/15+3/15= 8/15
7 0
3 years ago
Read 2 more answers
Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make
Katen [24]

Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of  red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

<em>Lowest common multiple is 15, that means </em><em>15 is the minimum number of pieces of each that can be purchased to make bouquets.</em>

And number of packets of red rose have to purchase = 3 \times <em><u>5</u></em> = 15, 5 packages.

And number of packets of white rose have to purchase = 5 \times <em><u>3</u></em> = 15 , 3 packages.

4 0
3 years ago
Read 2 more answers
pam deposited $6,900 in a savings account with simple interest. Four months later she had earned $23 in interest. What was the i
3241004551 [841]

Answer:

1%

Step-by-step explanation:

We use the simple interest equation of A=P(1+rt).

A-the total amount with interest earned

P-the initial amount or principal

r-rate

t-time in years

We substitute the values P=6900, A=6923, and t=0.33 since 4 months divided by 12 months is 0.333 years. We then solve for r.

6923=6900(1+r(0.33))\\6923=6900(1+0.33r)\\\frac{6923}{6900} =\frac{6900(1+0.33r)}{6900} \\1.0033=1+0.33r\\1.0033-1=1-1+0.33r\\0.0033=0.33r

Our final step is to divide both sides by 0.33.

\frac{0.0033}{0.33} =\frac{0.33r}{0.33} \\0.01=r

This is the decimal of the rate. We convert to a percentage by multiplying by 100. 0.01(100)=1%.


5 0
3 years ago
Please see attachment for the question.
Sophie [7]

Step-by-step explanation:

\frac{10 {x}^{3}  -  12 {x}^{2}   + 6x - 7 }{ - 14 {x}^{2} - 1 }

-14x²-1≠0

x²≠ -1/14

Option C

5 0
4 years ago
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