Write an algebraic expression for the following: Divide 2w by 3xy

The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start su

oksano4ka [1.4K]

Answer:

The diameter of an extra large pizza from Gambino's Pizzeria is $44\ cm$

Step-by-step explanation:

we know that

The area of a circle (circular pizza ) is equal to

$A=\pi r^{2}$

we have

$A=484\pi\ cm^{2}$

substitute in the formula and solve for the radius r

$484\pi=\pi r^{2}$

Simplify

$484=r^{2}$

$r=22\ cm$

Find the diameter

Remember that the diameter is two times the radius

$D=2(22)=44\ cm$

3 0

2 years ago

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Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times

MatroZZZ [7]

Answer:

Lavania observed 39 fruit flies after 6 days of observation

Step-by-step explanation:

Let x be the number of fruit flies on the first day of Lavania's study.

After 6 days she had nine more than five times as many fruit flies as when she began the study.

Five times as many fruit flies as when she began the study = 5x

Nine more than five times as many fruit flies as when she began the study=5x+9

The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9

If she observes 20 fruit flies on the first day of the study, then x=6, then

$5x+9=5\cdot 6+9=30+9=39$

5 0

2 years ago

Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time X

andrezito [222]

Part A the coefficient is 20c and 35w, the variable is c and w representing cost and week. and the constant is 23.50.

Part B He would have 503.50 because 35(12)+60=420x+60+23.50 which would be 503.50

Part C The coefficient of the cost would change because you would be adding a 5 dollar increase!!!!!! done

8 0

2 years ago

Please help quickly!!!!!!!!!!The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm

pishuonlain [190]

10
random words to fill up 20 character minimum for answering questions :P

7 0

2 years ago

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How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner

Liula [17]

Answer:

The 95% confidence interval would be given by (14444.04;33657.30)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data: $26,650 $6,060 $52,820 $8,490 $13,660$25,840 $49,840 $23,790 $51,480 $18,960$990 $11,450 $41,810 $21,060 $7,860

We can calculate the mean and the deviation from these data with the following formulas:

$\bar X= \frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}$

$\bar X=24050.67$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=17386.13 represent the sample standard deviation

n=15 represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that $t_{\alpha/2}=2.14$

Now we have everything in order to replace into formula (1):

$24050.67-2.14\frac{17386.13}{\sqrt{15}}=14444.04$

$24050.67+2.14\frac{17386.13}{\sqrt{15}}=33657.30$

So on this case the 95% confidence interval would be given by (14444.04;33657.30)

6 0

2 years ago