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3 years ago

A painter worked for 5 hours. He spent 25% of his time painting the kitchen,

Mathematics

1 answer:

il63 [147K]3 years ago

8 0

Answer:

a) 1 hours and 25 minutes

b) 2 hours and 25 minutes

c) 1 hour

d) 30 minutes

Step-by-step explanation:

25/ 100 out of 5 = 1.25

45/100 out of 5 = 2.25

20/100 out of 5 = 1

10/100 of 5 = .5

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Suppose that start-up companies in the area of biotechnology have probability 0.2 of becoming profitable, and that those in the

schepotkina [342]

Answer:

a) 0.03

b) 0.68

c) 0.32

Step-by-step explanation:

We are given the following in the question:

B: companies in the area of biotechnology

I: companies in the area of information technology

P(B) = 0.2

P(I) = 0.15

The two events are given to be independent.

a) P(both companies become profitable)

$P(B\cap I) = P(B)\times P(I)\\= 0.2\times 0.15 = 0.03$

0.03 is the probability that both companies become profitable

b) P(neither company becomes profitable)

$P(B'\cap I')\\=P(B')\times P(I')\\=(1-P(B))(1-P(I))\\=(1-0.2)(1-0.15)\\=0.68$

0.68 is the probability that neither company becomes profitable.

c) P(at least one of the two companies become profitable)

$P(B\cup I) = P(B) + P(I) - P(B\cap I)\\= 0.2 + 0.15 - 0.03\\=0.32$

0.32 is the probability that at least one of the two companies become profitable

4 0

3 years ago

Which of the following sequences of transformation is used to obtain figure A’B’C’D’ from ABCD?

weeeeeb [17]

Answer:

Most likely (B)

Step-by-step explanation:

Points of ABCD:

A (3,1)

B (3,4)

C (5,5)

D (5,2)

The algebraic rule for reflecting across the y axis:

(x,y) ---> (-x, y)

Points of ABCD after being reflected: (shown by figure 2)

A (-3, 1)

B (-3, 4)

C (-5, 5)

D (-5, 2)

Then, the figure got translated two units to the left, resulting in figure F in the picture, and A’B’C’D’ in the question.

Points of ABCD after being translated by (x-2, y) : (shown by figure F)

A (-5, 1)

B (-5, 4)

C (-7, 5)

D (-7, 2)

This should be the coordinates of A’B’C’D’.

7 0

3 years ago

Will mark brainliest!! factor the following equation: g(x)=2x²-2x-24

Darina [25.2K]

Answer:

g(x)=2(x-4)(x+3)

Step-by-step explanation:

4 0

3 years ago

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If f(x) = integral of 1/ (sqrt of t^3 +2)dt, then f'1 = ?

mihalych1998 [28]

Differentiating an integral removes the integral.

f(x) = integral of dt/sqrt(t^3 + 2)
f'(x) = 1/sqrt(x^3 + 2)
f'(1) = 1/sqrt(1^3 + 2)
f'(1) = 1/sqrt(3) = sqrt(3)/3.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

4 0

3 years ago

Please help I am horrible at math! Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 mi

vesna_86 [32]

Answer:

<em>y=-0.2x+5. Correct choice: A)</em>

Step-by-step explanation:

<u>Modeling With Equations</u>

Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:

After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)

After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)

A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct

Testing the second point (15,2): y=-0.2*15+5=2. Correct

This is the correct choice.

B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct

Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect

Incorrect choice.

C) This equation is equal to the choice B), thus this one is incorrect.

D) y=5x-0.2. The first point (5,4) yields to:

4=5*5-0.2=24.8 Incorrect.

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3 years ago

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