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2 years ago

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Which expression represents "10 subtracted from the quotient of 3 and a number"? a. 3n-10 b. 3/n - 10 (the / is a fraction bar)

c. 10 - 3n d. 10 - 3/n (the / is a fraction bar)

1 answer:

kiruha [24]2 years ago

4 0

B. because it is 10 being subtracted from the fraction.

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In a large population, 76% of the households own microwaves. A simple random sample of 100 households is to be contacted and the

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Answer:

Mean and standard deviation of the sampling distribution of the sample proportions are 76 and 0.0427 respectively.

Step-by-step explanation:

The mean for a sample proportion is given by μ = np

n = sample size = 100

p = fraction of the sample proportion that have what is being tested = 76% = 0.76

μ = 0.76 × 100 = 76.

Standard deviation of a sample proportion = σ = √[p(1-p)/n] = √(0.76×0.24/100) = 0.0427

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Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 39° and side c = 13.

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Answer:

Part 1) $b=8.2\ units$

Part 2) $a=10.1\ units$

Part 3) $A=51\°$ and $C=90\°$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the side b

we know that

In the right triangle ABC

The function sine of angle B is equal to divide the opposite side angle B (AC) by the hypotenuse (AB)

$sin(B)=AC/AB$

we have

$AB=c=13\ units$

$AC=b$

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substitute

$sin(39\°)=b/13$

solve for b

$b=(13)sin(39\°)$

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step 2

Find the side a

we know that

In the right triangle ABC

The function cosine of angle B is equal to divide the adjacent side angle B (BC) by the hypotenuse (AB)

$cos(B)=BC/AB$

we have

$AB=c=13\ units$

$BC=a$

$B=39\°$

substitute

$cos(39\°)=a/13$

solve for a

$a=(13)cos(39\°)$

$a=10.1\ units$

step 3

Find the measure of angle A

we know that

In the right triangle ABC

$C=90\°$ ----> is a right angle

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∠A+∠B=90° ------> by complementary angles

substitute the given value

$A+39\°=90\°$

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Thus, the <span>final velocity of the ball when it reaches the top of the ramp is given by

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