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3 years ago

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A round swimming pool (a cylinder) has a diameter of 16 feet and a height of 4 feet. How many gallos of water can the pool hold

if 1ft cubed = 7.5 gallons?

1 answer:

Marina CMI [18]3 years ago

8 0

If my calculations aren't off, it is approximately 80.43.

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2) Lisa is ordering sand from the Internet, On one site she found sand on sale for

Anastasy [175]

For this case we must find the unit cost (dollars per pound) of each site and then compare.

We take into account that:

1kg equals 2.205 pounds

So, we have:

Site 1:

$C = 2.25 \frac {dollars} {pound}$

Site 2:

$5kg = 5 (2.205\ pounds) = 11.025 pounds$

So, the unit cost is:

$C = \frac {14} {11.025} \frac {dollars} {pound} = 1.27 \frac {dollars} {pound}$

Thus, the best deal is on site 2.

ANswer:

The best deal is on site 2.

7 0

3 years ago

Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil

Vanyuwa [196]

Answer:

$Probability = \frac{2}{35}$

Step-by-step explanation:

Given

$Total = 70$

First, we need to list the multiples of 5

$M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}$

Then, multiples of 3 $M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}$

Next, is to list out the common elements in both

$M_3\ n\ M_5 = \{15,30,45,60\}$

$n(M_3\ n\ M_5) = 4$

The required probability is then calculated as thus:

$Probability = \frac{n(M_3\ n\ M_5)}{Total}$

$Probability = \frac{4}{70}$

$Probability = \frac{2}{35}$

7 0

3 years ago

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago

4294 divided by 68

Nataly_w [17]

Answer:

1. 63.1. 2.22.5 3. 74.3 4. 56.1

8 0

3 years ago

Help help help help pls

Monica [59]

Answer:

$\theta = 82.2^\circ$

Step-by-step explanation:

$Let \ \angle BAC = \theta$

Opposite = BC ,

Adjacent = AB = x = 3 ,

Hypotenuse = AC = y = 22

<em><u>Using trigonometric ratios.</u></em>

$sin \theta = \frac{opposite}{hypotenuse }\\\\cos \theta = \frac{adjacent}{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}$

Since we have adjacent and hypotenuse we use cosine's ratio

to find the angle.

$cos \theta = \frac{x}{y} = \frac{3}{22} \\\\\theta = cos^{-1} \frac{3}{22} = 82.16 = 82.2^\circ$

6 0

3 years ago