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4 years ago

The diameter of Jim’s circular flower bed is 10 feet. What is the area, in square feet, of Jim’s flower bed?

2 answers:

8 0

The area of a circle is PiR^2
Divide 10 by 2, to get the radius.
Square the radius, 5, which gives you 25.
25Pi is your answer, which is C.)

Zanzabum4 years ago

4 0

Answer:

Option C is correct.

Step-by-step explanation:

We have been given the diameter of circular flower bed.

$Radius=\frac{diameter}{2}$

$Radius=\frac{10}{2}=5$

Area of circle is $\pi\cdot r^2$ where r is the radius of circle.

So, we will substitute values in the area of circle to calculate the value of area of circular flower bed.

$Area=\pi 5^2$

$\Rightarrow Area=25\pi$

Therefore, option C is correct.

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Estimate each quotient 53.4÷6.15

juin [17]

Without calculating, this would be about 9 because 54/6=9

6 0

3 years ago

hello I am trying to figure out how much rent I would have to pay if I abated the rent 30%. My rent is $610.

horrorfan [7]

If you were to get 30% backed off, lucky you !
You would then pay only the remaining 70%.

70% means 0.70

0.70 x $610 = <u>$427 </u>

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4 years ago

A running relay team ran a 400 meter race in a record-setting time of 36 seconds. What was their average speed to the nearest te

astraxan [27]

Distance = speed x time
speed = distance/time
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8 0

3 years ago

52. In exploring possible sites for a convenience store in a large neighborhood, the retail chain wants to know the proportion o

kvasek [131]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04$

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. We know that we require a 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

We want a margin of error of $ME =\pm 0.1$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior info for the population proportion we can use as estimator the value of 0.5. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04$

D. Yes.

4 0

3 years ago

Limit b⇒0 (Sin b)/b³

Nitella [24]

Answer:

infinity

Step-by-step explanation:

Given the function

Limit b⇒0 (Sin b)/b³

First substitute the value of b into the function to have

Limit b⇒0 (Sin b)/b³

= sin 0/0³

= 0/0 (Ind)

Apply lhospital rule

Limit b⇒0 (d./db(Sin b))/(d/db(b³))

=>Limit b⇒0 (cos b)/3b²

Substitute the value of b

Cos 0/3(0)²

= 1/0

= infinity

Hence the answer is infinity

4 0

3 years ago