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Alexxx [7]
3 years ago
9

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

area of information technology have probability 0.15 of becoming profitable. A venture capitalist invests in one firm of each type. Assume the companies function independently What is the probability that both companies become profitable?
Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

<u>The probability that both companies become profitable is 0.03 or 3%.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Probability of biotechnology start-up company of becoming profitable = 0.2

Probability of information technology start-up company of becoming profitable = 0.15

2. Assume the companies function independently What is the probability that both companies become profitable?

We will answer this question, assuming these are independent events, this way:

Probability that both companies become profitable = Probability of biotechnology start-up company of becoming profitable * Probability of information technology start-up company of becoming profitable

Replacing with the values given, we have:

Probability that both companies become profitable = 0.2 * 0.15 = 0.03

<u>The probability that both companies become profitable is 0.03 or 3%.</u>

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The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter
Nostrana [21]

Answer:

Part a) The volume of the original pyramid is 15\ cm^{3}

Part b) The volume of the pyramid increases by  6\ cm^{3}

Step-by-step explanation:

<u><em>The complete question is</em></u>

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base

h is the height of pyramid

see the attached figure to better understand the problem

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

B=3^{2}=9\ cm^{2}\\h=5\ cm

substitute

V=\frac{1}{3}(9)(5)=15\ cm^{3}

Step 2

Find the volume of the new pyramid

B=9\ cm^{2} -------> the area of the base is the same

h=5+2=7\ cm ------> the height increase by

substitute

V=\frac{1}{3}(9)(7)=21\ cm^{3}

Subtract the original volume from the new volume

21\ cm^{3}-15\ cm^{3}=6\ cm^{3}

5 0
2 years ago
BRAINLIEST!!! Plz help ASAP
Svetllana [295]

Answer: R = (4, 5)

Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,

x coordinate- (6+x)/2=5

                        x=4

y coordinates- (9+y)/2=7

                         y=5

And therefore R is (4, 5)

6 0
3 years ago
Which of the following is the equation of a line that passed though the points (2,5) and (4,3)
STatiana [176]

The correct answer is C as it has the same line of equation. We can make this clear by verifying that these two points make the same equation or not. So as we can see if we calculate the gradient using the formula y2 - y1 / x2 - x1.

As we now know that the gradient is -1. We can simply put any one point in the equation y - y1 = m(x - x1) to get the line of equation. WHen we calculate the line of equation it come out to be y = -x + 7

4 0
3 years ago
What is 4×7 Please answer
stealth61 [152]
4 x 7= 28

BTW no calculator. Did it in my head. Hope this helps!
5 0
3 years ago
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I don't understand this at all, please help!
anastassius [24]

Answer:

hi dude

Step-by-step explanation:

7 0
3 years ago
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