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3 years ago

What is the value of x?

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

Answer:

x = 32

Step-by-step explanation:

Each angle of the equilateral triangle is 60°.

(2x -4)° = 60°

x -2 = 30 . . . . . . divide by 2°

x = 32

5y° = 60°

y = 12 . . . . . . . . . divide by 5°

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1 year ago

You have $30 to spend on dinner. You can calculate the sakes tax and tip by multiplying the price by .21. What is the most that

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Explain: 25 is too much and the next number down was good

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3 years ago

Find the value of x in the given<br> right triangle.

VMariaS [17]

Answer:

x = 10.6 units

Step-by-step explanation:

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2 years ago

Expand and simplify: (-7y - 8) (y - 4)

ZanzabumX [31]

<h2><u>Simplification</u></h2>

<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>

To expand an expression, use FOIL method.

<h3><u>F - First</u></h3>

Multiply the first term in each expression inside the parentheses.

<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.

<h3><u>O - Outside </u></h3>

Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)

<u>-7y</u> is the first term in the <u>first expression</u>

<u>-4</u> is the last term of the <u>second expression</u>

<h3><u>I - Inside</u></h3>

The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)

<u>-8</u> is the last term in the <u>first expression</u>

<u>y</u> is the first term in the <u>second expression</u>

Last step is to multiply the last term in each expression.

<u>-8</u> is the last term of the <u>first expression</u>

<u>-4</u> is the last term of the <u>second expression</u>

Combine all simplified terms.

-7y² + 28y - 8y + 32
-7y + 20y + 32

<u>Answer:</u>

<u>-7y + 20y + 32</u>

Wxndy~~

8 0

1 year ago

A consumer products company found that 44% of successful products also received favorable results from test market research, w

Korolek [52]

Answer:

0.80
0.289
0.20
0.711

Step-by-step explanation:

Given:

$P(S\cap F)=0.44\\P(S\cap F^{c})=0.13\\P(S^{c}\cap F^{c}) = 0.32\\P(S^{c}\cap F) = 0.11$

The rule of total probability states that:

$P(A) = P(A\cap B) + P(A\cap B^{c})$

Compute the individual probabilities as follows:

$P(S) = P(S\cap F) + P(S\cap F^{c})\\=0.44+0.13\\0.57$

$P(S^{c}) = 1 - P(S)\\=1-0.57\\=0.43$

$P(F) = P(S\cap F) + P(S^{c}\cap F)\\=0.44+0.11\\=0.55$

$P(F^{c})=1-P(F)\\=1-0.55\\=0.45$

Conditional probability of an event A given B is:

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

Compute the value of $P(S|F)$ :

$P(S|F)=\frac{P(S\cap F)}{P(F)}\\=\frac{0.44}{0.55}\\=0.80$

Compute the value of $P(S|F^{c})$

$P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}\\=\frac{0.13}{0.45}\\=0.289$

Compute the value of $P(S^{c}|F)$

$P(S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F}\\=\frac{0.11}{0.55}\\=0.20$

Compute the value of $P(S^{c}|F^{c})$

$P(S^{c}|F^{c})=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}\\=\frac{0.32}{0.45}\\=0.711$

3 0

3 years ago