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Alexxx [7]
4 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]4 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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A right triangle has one angle that measures 55°. What is the measure of the other acute angle?
Gemiola [76]

Answer:

35 degrees.

Step-by-step explanation:

In order to find an angle in a triangle we need to know the other two angles, because the angles in a triangle all add up to 180 degrees. So, knowing two will get us the other one. In this case, we know two angles. One of them is 55, and the other, since it is a right triangle, is 90. So the two angles we know are 55 and 90. Using that all angles in a triangle add up to 180, we can use

55 + 90 + x = 180

145 + x = 180

x = 35

7 0
3 years ago
I need all three answers fast pls
Zigmanuir [339]

Answer:

Step-by-step explanation:

4. -3(2x + 6) = -6x - 18

5. -3x - 9= -3(x + 3)

6. 5x - 25y = 5(x - 5y)

8 0
3 years ago
How do I prove that 2 cot 2x = cot x-tan x?
BlackZzzverrR [31]
We will start off working on the right hand side. 
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>

<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>

<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>

<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
7 0
4 years ago
What is the axis of symmetry of h(x) = –2x2 + 12x – 3?
Ksivusya [100]

h(x) = -2x2 + 12x - 3?

The axis of symmetry is :

x = 3

Hope this helps.

Welcome to Brainly!,

Davinia.

8 0
3 years ago
Read 2 more answers
Subtracting Fractions.<br><br> Fill in the blanks, and the tenth one is 4 2/3 + 7 7/10=
GrogVix [38]
Hello! Although I can't give you the answers automatically. I'll just show you some steps on how to subtract & if you're still not figuring it out just message me! :)

Step 1: You have to make sure both denominators are both exactly the same or you won't get the answer correctly.

Step 2: Then subtract the numerators

Step 3: Simplify if needed.

Ex; If I have 1/2 of the pizza and my friend has 1/6 of the pizza. What will be my result if I subtract the fractions?

We'll have to take 1/2 and 1/6. You'll have to find what makes those numbers, what I mean is by multiplying both numerators and denominators.

\frac{1}{2}  -  \frac{1}{6}  =
You multiply by 3.
2 x 3 = 6

Then you'll change the denominator into 1/2 = 1/6

Result:
\frac{3}{6}  -    \frac{1}{6}  =
Then you just subtract.
3 - 1 = 2

Hint: Denominator never changes when you have your final result. So it's 2/6. It needs to be simplified.

\frac{2}{6}  \div  \frac{1}{3}
We divide by 2.

I hope this example helped you understand how to subtract fractions & if you don't know how to add mixed fractions you can always do around the world or other examples your teacher can provide! :)
3 0
4 years ago
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