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4 years ago

13

I need Math Help PLEASE!

%7Bb%7D%5E%7B2%7D%20" id="TexFormula1" title="3 {a}^{2} \sqrt{a} \div 8 {b}^{2} " alt="3 {a}^{2} \sqrt{a} \div 8 {b}^{2} " align="absmiddle" class="latex-formula">

1 answer:

liberstina [14]4 years ago

7 0

3a^2a^1/2/8b^2 =
3a/8b^2

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From the observation deck of a skyscraper, Madison measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If

mrs_skeptik [129]

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: brainly.com/question/24349828

5 0

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

sweet [91]

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 <em>A</em> and <em>B</em> 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.

4 0

3 years ago

Which choice is equivalent to the product below for acceptable values of x

victus00 [196]

the answer would be A.

7x × X gives you 7x^2

7x × 2 gives you 14 X

so the answer is the square root of 7x^2 + 14 X

5 0

3 years ago

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Which of these debts could possibly be forgiven under Chapter 7 bankruptcy? A.Child support. B.A student loan. C.Alimony. D.A mo

Leto [7]

The Debt that could be forgiven under bankruptcy is: D. mortgage A mortgage is a type of debt that is used to purchase a property. In case of bankruptcy, the debt could easily be forgiven because the owner of the property could easily take it over again and they basically loss nothing

8 0

3 years ago

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Solve for X<br> (5x-2)^2=17<br> please help me everyone.

beks73 [17]

Answer:

$\frac{2}{5}±\frac{\sqrt{17}}{5}$

Step-by-step explanation:

$(5x-2)^2=17 \\ 5x-2=±\sqrt{17} \\ 5x = 2 ± \sqrt{17} \\ x=\frac{2}{5}± \frac{\sqrt{17}}{5}$

Don't mind the $±$

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3 years ago