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2 years ago

A scale drawing of a pool has scale of 1 in :4 ft. If the actual pool is 16 ft wide, how is the pool represented in the drawing

Mathematics

1 answer:

Deffense [45]2 years ago

8 0

Answer: 4 inches

Step-by-step explanation:

Let the width of the pool in the drawing be represented by x.

Since scale drawing of a pool has scale of 1 in :4 ft and the actual pool is 16 ft wide, this can be represented in an equation as:

1/4 = x/16

Cross multiply

4 × x = 1 × 16

4x = 16

x = 16/4

x = 4

Therefore, the pool representation in the drawing is 4 inches

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4x - 2y =7 X +2y =3 What is x and y ??

NARA [144]

Answer:

x=2. y=1/2

Step-by-step explanation:

4x-2y=7. Equation 1

x+2y=3. Equation 2

Add the two equations

(4x+x) +(-2y+2y) =7+3

5x+0=10

5x=10 divide both sides by 5

X=2

Substitute x=2 in equation 2

2+2y=3

2y=3-2

2y=1. Divide both side by 2

Y=1/2

7 0

3 years ago

Will give brainliest

Semenov [28]

Answer:

3/13(shade in 3)

Step-by-step explanation:

Make 52 denominators because it's of all cards. Next, find how many face cards there are for the numerator(3x4 since there are 3 face cards for each set and there are 4 sets) this gives you 12 and your fraction is now 12/24

Simplify that to above answer

8 0

3 years ago

Read 2 more answers

36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0

3 years ago

Solve this inequality 5 x + 2 < 32

Hatshy [7]

Answer:

Here is your answer:

5x + 2 < 32

solution:

5x+ 2 < 32

or, 5x < 32-2

or, 5x < 30

or, 5x < 30/2

or, 5x < 15

or, x < 15/3

or, x < 5

therefore, x < 5 ans

Hope it will help you

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2 years ago

According to the general equation for conditional probability,if p(a upside down u b)= 3/10 and p(b)=4/5 ,What is P(A|B)? A. 1/1

mash [69]

The correct answer for the question that is being presented above is this one: "A. (3/8)." According to the general equation for conditional probability if P(AupsidedownuB) = (3/10) and P(B)= (2/5), then P(A|B) is 3/8.Here are the following choices:A. (3/8)B. (1/2)C. (3/4)D. (1/16)

4 0

2 years ago

Read 2 more answers