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3 years ago

A home has a living room that is 14 ft. wide, 22 ft. long, and a height of 9ft. Bob needs to paint

Mathematics

1 answer:

aleksandrvk [35]3 years ago

3 0

Answer:

Step-by-step explanation:

Let's find the volume of the room in ft³ and that will give

14×22×9=2772ft³

There are deductions. Hence we subtract them from this value

3×5=15, but there are two, hence 15×2=30ft²

And 4×7=28ft²

Hence 2772-(30+28)=2714

Dividing this value by 320 gives

8.4(to 2s.f)

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Write a point slope form of the line that passes through (6,1) and it is parallel to a line with a slope of -3

Dafna1 [17]

Answer:

Step-by-step explanation:

y - 1 = -3(x - 6)

8 0

3 years ago

Two supplementary angles have a ratio of 4:5 what is the measure of the larger angle?

Mila [183]

Answer:

100°

Step-by-step explanation:

Supplementary means the sum of the angles is 180°

so we add 4+5 = 9

180/9 = 20

20 now we multiply according to the ratio

20x4:20x5

80:100

the measure of the largest is 100°

4 0

2 years ago

A research study uses 800 men under the age of 55. Suppose that 30% carry a marker on the male chromosome that indicates an incr

ss7ja [257]

Answer:

a) There is a 12.11% probability that exactly 1 man has the marker.

b) There is a 85.07% probability that more than 1 has the marker.

Step-by-step explanation:

There are only two possible outcomes: Either the men has the chromosome, or he hasn't. So we use the binomial probability distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

30% carry a marker on the male chromosome that indicates an increased risk for high blood pressure, so $\pi = 0.30$

(a) If 10 men are selected randomly and tested for the marker, what is the probability that exactly 1 man has the marker?

10 men, so $n = 10$

We want to find P(X = 1). So:

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{10,1}.(0.30)^{1}.(0.7)^{9} = 0.1211$

There is a 12.11% probability that exactly 1 man has the marker.

(b) If 10 men are selected randomly and tested for the marker, what is the probability that more than 1 has the marker?

That is $P(X > 1)$

We have that:

$P(X \leq 1) + P(X > 1) = 1$

$P(X > 1) = 1 - P(X \leq 1)$

We also have that:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = 0) = C_{10,0}.(0.30)^{0}.(0.7)^{10} = 0.0282$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0282 + 0.1211 = 0.1493$

Finally

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1493 = 0.8507$

There is a 85.07% probability that more than 1 has the marker.

3 0

3 years ago

What is 209 rounded to the nearest ten and hundred

Ad libitum [116K]

209 rounded to the nearest ten; 210

209 rounded to the nearest hundred; 200

Hope this helped ;)

3 0

3 years ago

Read 2 more answers

PLEEEAAASSSE HELP!!!! NEED ASAP!! Thank you!!!!

lisov135 [29]

Answer:

<u>The rule for dividing fractions is you multiply the first fraction by the reciprocal of the second fraction:</u>

$\frac{a}{b} :\frac{c}{d} = \frac{a}{b} * \frac{d}{c}$

<u>Solve for the given:</u>

$\frac{x+1}{y}: \frac{g+1}{h} =$
$\frac{x+1}{y}* \frac{h}{g+1}$

Correct choice is D

7 0

3 years ago