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3 years ago

Any help is appreciated!!

Mathematics

2 answers:

Alenkasestr [34]3 years ago

7 0

Answer:

$1.872 \times {10}^{13}$

Step-by-step explanation:

Simply multiple the values listed

$3.12 \times {10}^{5} \\ \times 6 \times {10}^{7}$

You can just multiply the values and keep it in scientific notation. No reason to multiply all if it to find the answer.

$18.72 \times {10}^{12}$

Now we have to put it into scientific notation, simply move the decimal to the left by 1 and add to the exponenet by 1.

$1.872 \times {10}^{13}$

qaws [65]3 years ago

6 0

Answer:

Step-by-step explanation:

600,000,000

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X^2 + 7x – 18 = 0 a {–2, 9} b {–9, 2} c {2, 9} d {–2, –9}

Sedaia [141]

Answer:

b)-9,2

Step-by-step explanation:

x^2+7x-18=0

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2 years ago

Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter

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Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events A and B are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

$P(A\cap B)=0$

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0$

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, $P(A\cap B)=0$ .

Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, $P(A\cap B)=P(A)\times P(B)$ .

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that $P(A\cap B)=0$ .

Now compute the value of $P(A)\times P(B)$ as follows:

$P(A)\times P(B)=0.30\times 0.40=0.12\neq 0$

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

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3 years ago

The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a sta

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Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .