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Darina [25.2K]
2 years ago
7

Sean asked 10 of his classmates the amount of their weekly allowance. He recorded the information in this table

Mathematics
1 answer:
alex41 [277]2 years ago
3 0
Okay. where's the table?
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Since you know that the hose will fill the whole pool in 8 minutes you know it will fill 1/8 of the pool per minute. In 5 minutes it will fill up 5/8 of the pool. This will make your equation 5/8 +5r=1. Solving for r will give you 3 parts/40 minutes
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Determine the domain of each piece. Domain of piece 1:[) Domain of piece 2: [) Domain of piece 3:[
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Domain of piece 1:[) -4,-1

Domain of piece 2: [) -1,1

Domain of piece 3:[] 1,5

Step 2:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y=2-x

Step-by-step explanation:

Correct on Edgen

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An element with mass 210 grams decays by 8.3% per minute. How much of the element is remaining after 15 minutes, to the nearest
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2 years ago
The answer for Mixed Degree Systems 
Setler79 [48]

Answer:

We have to find the maximum number of solutions of each of the following system:

1)

Two distinct concentric circles:

Since, distinct concentric circles means that the two circles have same center but different radius.

That means they will never intersect each other at any point.

Ans hence we will get zero solutions.

2)

Two distinct parabolas:

Two parabolas can maximum intersect at 2 points this could be seen by the diagrams.

3)

A line and a circle.

A line and a circle can maximum have 2 solutions.

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A parabola and a circle.

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1 year ago
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A customer visiting the suit department of a certain store will purchase a suit with probability .22, a shirt with probability .
BigorU [14]

Answer:

a) The probability that he doesnt but any items is 0.49

b) He buys exactly 1 of those items with probability 0.28

Step-by-step explanation:

lets call su the event that the customer purchases a suit, sh the event that teh customer purchases a shirt and t the event that the customer purchases a tie.

Remembe that for events A, B and C we have that

P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

Also, we are given that

P(su) = 0.22

P(sh) = 0.3

p(t) = 0.28

p(su ∩ sh) =  0.11

P(su ∩ t) = 0.14

P(sh ∩ t) = 0.1

P(sh ∩ t ∩ su) = 0.06

The event that he doesnt buy any item has as complementary event su ∪ sh ∪ t, therefore

P( he doesnt but any items) = 1-P(su U sh U t) =

1-( P(su) + p(sh) + p(t) - P(su ∩ sh) - p(su∩t) - p(sh∩t) + p(su∩sh∩t) ) =

1-(0.22+0.30+0.28-0.11-0.14-0.1+0.06) = 1-0.51 = 0.49

b) The probability that he buys at least 2 items is equal to

p(su ∩ t) + p(su ∩ sh) + p(sh ∩ t) -2 p(su ∩ t ∩ sh) (because we are counting the triple intersection 3 times, so we need to remove it twice)

This number is

0.14+0.11+0.1-2*0.06 = 0.23

Thus, the probability that he buys exactly one item can be computed by substracting from one the probability of the complementary event : she buys 2 or more or non items

P(he buys exactly one item) = 1- ( p(he buys none items) + p(he buys at least 2) ) = 1- 0.49-0.23 = 0.28

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2 years ago
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