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kodGreya [7K]
2 years ago
6

4-21. Kelso's mom wants to put a floating blanket over the family's circular wading pool to keep the heat in and the leaves out.

The pool has a diameter of 10 feet. a. How many square feet of blanket will Kelso's mother need? b. If the pool supply store charges $0.10 per square foot for the blanket, how much will the material for the blanket cost?
Mathematics
1 answer:
astraxan [27]2 years ago
7 0

Answer:

a. 78.6 square feet

b. $7.86

Step-by-step explanation:

a. This simply asks us to calculate the area of the 10 feet diameter pool

Formula for area of circle is ;

pi * r^2 = pi * d^2/4

so Area = 22/7 * 10^2/4 = 78.60 square feet

b. This will be the area of the blanket multiplied by the price per square foot of the blanket

Mathematically, we have that as;

78.60 * 0.1 = $7.86

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The probability of rain =0.2, sun=0.3,cloud=0.5. What is the probability of rain and sun over a two day period?
svp [43]

Answer:

0.2752512

Step-by-step explanation:

The formula you are looking for is the binomial probability:

               

                n!

P (X) = ------------    * (P)^X  * (q)^n - X

           (n- X)! X!    

For your particular problem:

n=7

X=2

 

q = 1-p = .8

7!/(5!*2!)*(.2)^2*(.8)^5 = 0.2752512

Hope this helps, have a nice day/night! :D

6 0
2 years ago
A consumer advocacy group wants to determine whether there is a difference between the proportions of the two leading automobile
podryga [215]

Answer:

The answer is "0.3206".

Step-by-step explanation:

H_0: p_1 = p_2\\\\H_a: p_1 \neq  p_2\\\\\hat{p_1} = \frac{X_1}{N_1} = \frac{53}{400} = 0.1325\\\\\hat{p_1}= \frac{X_2}{N_2} = \frac{78}{500}= 0.156\\\\\hat{p} = \frac{(X_1 + X_2)}{(N_1 + N_2)} = \frac{(53+78)}{(400+500)} = 0.1456

Testing statistic:

z = \frac{(\hat{p_1}- \hat{p_2})}{\sqrt{(\hat{p} \times (1-\hat{p}) \times (\frac{1}{N_1} + \frac{1}{N_2}))}}

=\frac{(0.1325-0.156)}{\sqrt{(0.1456\times (1-0.1456)\times (\frac{1}{400} + \frac{1}{500}))}}\\\\ = -0.99

Calculating the P-value Approach

\text{P-value}= 0.3206

7 0
2 years ago
Alex has $20 and Ellen has $12 Alex saving three dollars per day and Ellen is saving five dollars per day after how many days wi
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3x+20=5x+12
-3x -3x
20= 2x +12
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4=x
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3 0
3 years ago
PLEASE HURRY I ONLY HAVE 5MIN TO TURN IT IN!!! A new television set was recently purchased for a common Room and a resident Hall
mezya [45]

Answer:

The price of the tv before tax is 410

Step-by-step explanation:

Let x = price of tv before tax

tax = x*  9%

tax = .09x

The total cost is price of tv before tax plus tax

total cost = x + .09x

total cost = 1.09x

446.90 = 1.09x

Divide each side by 1.09

446.90/1.09 = 1.09x/1.09

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The price of the tv before tax is 410

3 0
2 years ago
I just completed 12 questions on a test the progress bar shows 20% is complete how many total questions are on the test?
Mademuasel [1]
If 12 is 20%, then 24 is 40%, then 36 is 60%, then 48 is 80%, then 60 is 100%

So there are 60 questions on the test.
7 0
3 years ago
Read 2 more answers
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