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2 years ago

4x^2-16=x^2+32 Using reverse PEMDAS

Mathematics

1 answer:

telo118 [61]2 years ago

5 0

Answer:

x = ±4 (x = 4 and x = -4)

Step-by-step explanation:

4x²-16 = x²+32

3x²-16 = 32

3x² = 48

x² = 16

x = ±4

Therefore, x = 4 and x = -4

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3 years ago

Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples

zheka24 [161]

Answer: a. 0.40 b. 0.23 c . 0.435 d . 0.25

Step-by-step explanation:

melanin content Total

high low

moisture high 13 10 23

content low 47 30 77

Total 60 40 <u> </u><u>100</u>

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)= $\dfrac{40}{100}=0.40$

b) Total skin samples has high moisture content = 13+10=23

P(B) = $\dfrac{23}{100}=0.23$

c) A ∩ B = Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) = $\dfrac{10}{100}=0.10$

Using conditional probability formula , $P (A|B)=\dfrac{P(A\cap B)}{P(B)}$

$P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435$

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

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8 0

3 years ago

What is the measure of an angle whose sine is√3/2 ? 60 45 30

dem82 [27]

ANSWER

The required angle is
$60 \degree$

EXPLANATION

Let the angle whose sine is
$\frac{ \sqrt{3} }{2}$
be
$x \degree$

Then

$\sin(x \degree) = \frac{ \sqrt{3} }{2}$

We take the inverse sign of both sides to obtain,

$x = \sin ^{ - 1} ( \frac{ \sqrt{3} }{2} )$

We use our scientific calculator to evaluate and obtain,

$x = 60 \degree$

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3 years ago

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