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3 years ago

Write an expression that represents the area in square feet of each room in the house shown. Then

Mathematics

1 answer:

earnstyle [38]3 years ago

7 0

Answer:

Bedroom = x^2 ft^2

Closet = 25 ft^2

Bathroom = 6x ft^2

Total Area = x^2 + 6x + 25 ft^2

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A circular sector has a central angle of π6 radians and a radius of 9 ft.

ohaa [14]

Answer:

$\approx \: 21.2 \: {ft}^{2}$

Step-by-step explanation:

$central \: \angle = \frac{\pi ^{c} }{6} = 30 \degree \\ \\ area \: of \: the \: sector = \frac{30 \degree}{360 \degree} \times \pi {(9)}^{2} \\ \\ = \frac{1}{12} \times 3.14 \times 81 \\ \\ = \frac{1}{12} \times 254.34 \\ \\ = 21.195 \: {ft}^{2} \\ \\ \approx \: 21.2 \: {ft}^{2}$

8 0

3 years ago

Read 2 more answers

A genetics experiment involves a population of fruit flies consisting of 1 male named Bart and 3 females named Charlene, Diana,

kenny6666 [7]

Answer:

(b) $\frac{1}{2}$

Step-by-step explanation:

1 male named Bart (b)

3 females named Charlene(c), Diana(d), and Erin(e).

Since there is replacement, the possible samples are:

bb, bc, be, bd, cb, cc, cd, ce, db, dc, dd, de, eb, ec, ed, and ee.

Total Number of pairs = 16

Event of picking 2 males:bb

Event of 1 male:bc,cb,bd,db,be,eb

Event of picking 0 males:

cc, cd, ce, dc, dd, de, ec, ed, and ee.

$\begin{equation*} \begin{matrix}Proportion of males & Probability \\0 & 9/16 \\1 & 6/16 \\2 & 1/16 \end{matrix} \end{equation*}$

b. The mean of the sampling distribution

$\mu = (\frac{9}{16} X0 ) +(\frac{6}{16} X 1)+(\frac{1}{16} X 2) = \frac{8}{16} = \frac{1}{2}$

c. No; the proportion of males is $\frac{1}{4}$ while the mean is $\frac{1}{2}$ .

B. No, the sample mean is not equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.

7 0

3 years ago

The Bermuda Triangle is roughly defined by Hamilton, Bermuda; San Juan, Puerto Rico; and Fort Lauderdale, Florida. The distances

zloy xaker [14]

Answer:

442554 square miles

Step-by-step explanation:

The area of a triangle is given by :

0.5*A*B*Sin(∅) where A and B are two sides and ∅ is the angle between them.

We will find ∅ by applying cosine rule:

c^2 = a^2 + b^2 − 2ab cos(∅)

Where ∅ is angle between sides a and b.

In this example:

a=1028, b=1046, c= 965

Plugging in the values, we get ∅=55.4°

Applying the formula for Area:

0.5*A*B*Sin(∅)

0.5*1028*1046*Sin(55.4)= 442554 square miles

8 0

3 years ago

Janet completed this entire column of math homework in 10 minutes. How many seconds per question did Janet spend?

puteri [66]

Answer:

Assuming that Janet spent an equal amount of time on each question, he would have spent 75 seconds on each question.

Step-by-step explanation:

10 minutes = 600 seconds

600 seconds / 8 questions = 75 seconds.

5 0

3 years ago

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95.

gayaneshka [121]

Answer: x > 75-69.95; you need five dollars and five cents more for free shipping ($5.05)

Step-by-step explanation: i believe this is the correct answer because as long as you have 75 dollars or more, then you will be good so that’s how i got the inequality. to find this you just subtract the amount needed (75) by the amount you have and you get your answer. oh and to be clear x represents the amount needed for free shipping. i am not sure if i understood the problem correctly so i apologize if it is incorrect. i hope this helped and good luck!

3 0

2 years ago