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2 years ago

Question

Mathematics

1 answer:

tester [92]2 years ago

6 0

Answer:

Ø.

Step-by-step explanation:

Given the equation 7x^2 = -14. We are to find the value of x;

7x^2 = -14.

Divide both sides by 7

7x^2/7 = -14/7

x² = -2

Square root both sides

√x² = ±√-2

x = ±√2 i

The value of x is (-√2 i, √2 i)

Since there values is a complex values, hence there is no real solution. The answer is Ø.

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

$P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........$

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X = A random variable

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}$

= $1 \times 1 \times 0.80^{5}+5 \times 0.20^{1} \times 0.80^{4}+10 \times 0.20^{2} \times 0.80^{3}+10 \times 0.20^{3} \times 0.80^{2}$

= 0.9933

4 0

3 years ago

A car manufacturer crash tests a certain model of car and measures the impact force. The test and model in question produce impa

pychu [463]

Answer:

Step-by-step explanation:

Given :

Mean, m = 30 metric tons

Standard deviation (s) = 1.5 metric ton

Sample size, n = 4

Since the impact force in the test model is normally distributed, the shape of the sampling distribution will also be approximately normal with a mean equal to the mean of the test model.

Hence, the sample mean impact force will be equal to the population mean.

Therefore, sample mean = 30 ; population mean = 30

8 0

3 years ago

Read 2 more answers

A.) When you move to the left on a number line, the movement is positive or negative?

fredd [130]

Answer:

a)negitive b)positive

Step-by-step explanation:

to the left of zero on a number line is negitive numbers and to the right is positive

4 0

2 years ago

Read 2 more answers

Help

aniked [119]

Answer:

39.3%

Step-by-step explanation:

5 0

3 years ago

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe

Rama09 [41]

You can see how this works by thinking through what's going on.

In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97

What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

So the population after x years is 1200 * 0.97x

5 0

3 years ago