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Karo-lina-s [1.5K]
3 years ago
10

Change 0.150 to a fraction.

Mathematics
2 answers:
puteri [66]3 years ago
5 0
150/1000 then if you need to simplify it
Svetlanka [38]3 years ago
4 0

Step-by-step explanation:

150/1000 and then you you have to simplify it

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Marc has 45 Cds in his collection, and Corinna has 61. If Marc buys 4 new CDs each month and Corinna buys 2 new CDs each month,
Mkey [24]

After 8 months they both will have 77 CD's

4 0
3 years ago
Let Y1 and Y2 have the joint probability density function given by:
Ann [662]

Answer:

a) k=6

b) P(Y1 ≤ 3/4, Y2 ≥ 1/2) =  9/16

Step-by-step explanation:

a) if

f (y1, y2) = k(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1,  0, elsewhere

for f to be a probability density function , has to comply with the requirement that the sum of the probability of all the posible states is 1 , then

P(all possible values) = ∫∫f (y1, y2) dy1*dy2 = 1

then integrated between

y1 ≤ y2 ≤ 1 and 0 ≤ y1 ≤ 1

∫∫f (y1, y2) dy1*dy2 =  ∫∫k(1 − y2) dy1*dy2 = k  ∫ [(1-1²/2)- (y1-y1²/2)] dy1 = k  ∫ (1/2-y1+y1²/2) dy1) = k[ (1/2* 1 - 1²/2 +1/2*1³/3)-  (1/2* 0 - 0²/2 +1/2*0³/3)] = k*(1/6)

then

k/6 = 1 → k=6

b)

P(Y1 ≤ 3/4, Y2 ≥ 1/2) = P (0 ≤Y1 ≤ 3/4, 1/2 ≤Y2 ≤ 1) = p

then

p = ∫∫f (y1, y2) dy1*dy2 = 6*∫∫(1 − y2) dy1*dy2 = 6*∫(1 − y2) *dy2 ∫dy1 =

6*[(1-1²/2)-((1/2) - (1/2)²/2)]*[3/4-0] = 6*(1/8)*(3/4)=  9/16

therefore

P(Y1 ≤ 3/4, Y2 ≥ 1/2) =  9/16

8 0
3 years ago
The charity gala costs $5.17 for every attendee. How many attendees can there be, at most, if the budget for the charity gala is
Elodia [21]

Answer:

15 people are able to be at the charity gala because 77:55 divided by 5:17.

3 0
3 years ago
A bag contains 25 balls 20 of which are blue what percentage of balls are not blue
Artist 52 [7]

Answer:

20%

Step-by-step explanation:

20/25 = blue

This means 5/25 of the balls in the bag are NOT blue

(25-20 = 5)

We need to convert 5/25 to a percentage

\dfrac{5}{25} = \dfrac{5\times4}{25\times4}=\dfrac{20}{100}

% = per cent

"per" means "out of"

"cent" means "one hundred"

so

20/100 = 20%

7 0
1 year ago
​Quadrilateral ABCD​ is inscribed in this circle. What is the measure of ∠A?
mamaluj [8]

Answer:

Step-by-step explanation:

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