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4 years ago

-0.7g - 19.29= -17.82 - 10.7g -13.47

Mathematics

1 answer:

Neko [114]4 years ago

5 0

So firstly, combine like terms: $-0.7g-19.29=-10.7g-31.29$

Next, add 10.7g on both sides: $10g-19.29=-31.29$

Next, add 19.29 on both sides: $10g=-12$

Lastly, divide both sides by 10 and your answer will be $g=-1.2$

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Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. b = ∘ Two horizontal lines the top lin

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Answer:

It's 79 I took the test

Stay Alive ~ T∅P I-/

Step-by-step explanation:

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3 years ago

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2% of the population suffers from the terrible disease conditionitis. The test for conditionitis comes back positive 98% of the

vlabodo [156]

Answer:

8% probability that he or she actually has the disease

Step-by-step explanation:

We use the Bayes Theorem to solve this question.

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

If a randomly chosen person is given the test and the test comes back positive for conditionitis, what is the probability that he or she actually has the disease?

This means that:

Event A: Test comes back positive.

Event B: Having the disease.

Test coming back positive:

2% have the disease(meaning that P(B) = 0.02), and for those, the test comes positive 98% of the time. This means that $P(A|B) = 0.98$

For the 100-2 = 98% who do not have the disease, the test comes back positive 100-77 = 23% of the time.

Then

$P(A) = 0.02*0.98 + 0.98*0.23 = 0.245$

Finally:

$P(B|A) = \frac{0.02*0.98}{0.245} = 0.08$

8% probability that he or she actually has the disease

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4 years ago

NEED HELP DUE IN 3 MINUTES!!!!

Elina [12.6K]

Answer:

y = -1/3 x+9

Step-by-step explanation:

First find the slope between the two points

m = ( -1 -8)/(2 - 5)

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We want a line that is perpendicular so it is the negative reciprocal

-1 /(3)

The slope of the perpendicular line is -1/3

y= mx+b where m is the slope and b is the y intercept

y = -1/3x+b

We have a point of (6,7)

7 = -1/3 (6) +b

7 = -2 +b

Add 2 to each side

7 +2 = -2+b+2

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The equation of the line is y = -1/3 x+9

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3 years ago

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A sphere has a volume of 500/3 π cubic centimeters. What is the total surface area , in square centimeters, of the sphere

lutik1710 [3]

Answer:

$\large\boxed{S.A.=100\pi\ cm^3\approx314\pi\ cm^2}$

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have

$V=\dfrac{500}{3}\pi\ cm^3$

Substitute and solve for R:

$\dfrac{500}{3}\pi=\dfrac{4}{3}\pi R^3$ divide both sides by π

$\dfrac{500}{3}=\dfrac{4}{3}R^3$ multiply both sides by 3

$500=4R^3$ divide both sides by 4

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The formula of a Surface Area os a sphere:

$S.A.=4\pi R^2$

Substitute:

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3 years ago

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alexandr1967 [171]

Answer:

4/5.

Step-by-step explanation:

The right triangle with this angle in it has sides 3, 4 and 5. ( 5^2 = 3^2 + 4^2).

So as sin∅ = 3/5, the opposite side to angle ∅ is 3 , the hypotenuse is 5 and the adjacent side must be 4 units long.

So cos∅ = adjacent side/hypotenuse = 4/5.

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3 years ago