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kondor19780726 [428]
3 years ago
6

A large pizza has diameter 36 cm and a medium pizza has diameter 30 cm. What is the difference in area of the pizzas? Round your

answer to the nearest square centimeter.
Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer: 10cm squared

Step-by-step explanation:

pix15 squared =47.12(2dp)

pix18 squared =56.75 (2dp)

difference =56.75-47.12=9.63

=10cm to nearest square centimetre

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The simple interest earned on a deposit of 4000 at 5% for 120 days
Ymorist [56]

Answer:A = $4,066.00

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Putting time into years for simplicity,

120 days / 360 days/year = 0.33 years.

Solving our equation:

A = 4000(1 + (0.05 × 0.33)) = 4066

A = $4,066.00

The total amount accrued, principal plus interest, from simple interest on a principal of $4,000.00 at a rate of 5% per year for 0.33 years (120 days) is $4,066.00.

* Hopefully this helps:) Mark me the brainlliest:)!!

<em>∞ 234483279c20∞</em>

5 0
3 years ago
A home goods store purchased a desk lamp and marked it up 155% from the original cost of $9.12. Then, wanting to make room for s
erma4kov [3.2K]

Answer:

16.28

Step-by-step explanation:

6 0
3 years ago
(-3) x (-5) = ? please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
seropon [69]
The answers 15 because we have two negatives it's always a positive and 3×5 is 15
5 0
4 years ago
Read 2 more answers
g A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estim
kipiarov [429]

Answer:

a) n= 1045 computers

b) n= 442 computers

c) A. ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

Step-by-step explanation:

Hello!

The variable of interest is

X: Number of computers that use the new operating system.

You need to find the best sample size to take so that the proportion of computers that use the new operating system can be estimated with a 99% CI and a margin of error no greater than 4%.

The confidence interval for the population proportion is:

p' ± Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }

Z_{1-\alpha /2}= Z_{0.995}= 2.586

a) In this item there is no known value for the sample proportion (p') when something like this happens, you have to assume the "worst-case scenario" that is, that the proportion of success and failure of the trial are the same, i.e. p'=q'=0.5

The margin of error of the interval is:

d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }

\frac{d}{Z_{1-\alpha /2}} = \sqrt{\frac{p'(1-p)}{n} }

(\frac{d}{Z_{1-\alpha /2}})^2 = \frac{p'(1-p')}{n}

n * (\frac{d}{Z_{1-\alpha /2}})^2 = p'(1-p')

n= [p'(1-p')]*(\frac{Z_{1-\alpha /2}}{d} )^2

n=[0.5(1-0.5)]*(\frac{2.586}{0.04} )^2= 1044.9056

n= 1045 computers

b) This time there is a known value for the sample proportion: p'= 0.88, using the same confidence level and required margin of error:

n= [p'(1-p')]*(\frac{Z_{1-\alpha /2}}{d} )^2

n= [0.88*0.12]*(\frac{{2.586}}{0.04})^2= 441.3681

n= 442 computers

c) The additional information in part b affected the required sample size, it was drastically decreased in comparison with the sample size calculated in a).

I hope it helps!

4 0
4 years ago
In the given figure, in triangle ADE, AD = 5inches, AE = 4inches, DE = 3inches. Also, DB = 10inches and EC = 8inches. If triangl
Anna007 [38]
6 = x; 3 in. is the MIDPOINT, so it's ALWAYS going to be dilated ½ of what you want.
5 0
3 years ago
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