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katrin [286]
3 years ago
10

How many solutions does the system have? y= -2x - 4 y= 3х + 3

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

One solution

Step-by-step explanation:

The system has one solution and that is (-1.4, -1.2)

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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
Aleks04 [339]

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>

6 0
3 years ago
Write the number in two orher forms 314,207
asambeis [7]
Word Form: Three hundred fourteen thousand two hundred seven

Expanded Form: 300,000 + 10,000 + 4,000 + 200 + 7
5 0
3 years ago
Read 2 more answers
An empty box is shaped like a rectangular prism. The box has a base area of `9/10` square foot and a height of `1/3` foot. How m
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Answer: You are finding the capacity of this box so you will need to multiply all the numbers together so 9/10*1/3=3/10 so the answers A.

Step-by-step explanation:

7 0
3 years ago
Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho
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Answer: 3.712 hours or more

Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

X is normally distributed.

X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10

P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]

As, P(z>1.28)=0.10  [By z-table]

Then,

\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

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