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3 years ago

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Mathematics

1 answer:

inn [45]3 years ago

3 0

Answer:

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In how many ways can Susan arrange 7 books into 5 slots on her bookshelf?

KatRina [158]

Answer:

2520

Step-by-step explanation:

This is permutation question

The formula for it:

N = b!/(b-s)!, where N- number of ways, b- number of books, s- number of slots

Finding the answer:

N = 7!/(7-5)! = 7!/2! = 7*6*5*4*3 = 2520

7 0

3 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

3 years ago

31 20 25 25 Find the perimeter

Anvisha [2.4K]

Answer:

101

Step-by-step explanation:

31+20+25+25=101

5 0

2 years ago

Read 2 more answers

(06.01) Solve x + 3y = 9 3x − 3y = −13

Irina-Kira [14]

Answer:

Slove For X

x= -1

Solve for Y

Y= 10/3

Step-by-step explanation:

SO I did Elimination method

To isolate X and to solve for it

x+3y=9

3x−3y=−13

Add these equations to eliminate y:

4x=−4

Solve for X

x=-1

Now plug x back in to solve for y

4 0

3 years ago

A total of 234 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t

lorasvet [3.4K]

234 = a + s s = students a = adults
2a = s
after you get the equations you solve. plug 2a into the above equation.
so u get
234 = a + 2a
234=3a then divide 3 from each side
78 = a
so 78 adult tickets were sold

3 0

3 years ago