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Alja [10]
4 years ago
7

Suppose you are given a square with an inscribed circle as shown below. if the area of the square is 144 m2 what is the area of

the​ circle?
Mathematics
1 answer:
dimaraw [331]4 years ago
4 0
The area of the circle should be 113.097m^2
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In a random sample of 45 newborn babies, what is the probability that 40% or fewer of the sample are boys. (Use 3 decimal places
erastova [34]

Answer:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

Step-by-step explanation:

The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:

np = 45*0.4= 18 >10

n(1-p) = 45*0.6= 27 >10

For this case we can assume that the population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Where:

\mu_{p}= \hat p = 0.4

\sigma_p = \sqrt{\frac{p(1-p)}(n} =\sqrt{\frac{0.4(1-0.4)}(45}= 0.0703

And we want to find this probability:

P(p

And we can use the z score formula given by:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

7 0
3 years ago
Read 2 more answers
Jennifer has a credit card with an APR of 10. 22% and a billing cycle of 30 days. The following table shows Jennifer’s credit ca
ArbitrLikvidat [17]

Jennifer's January finance charge will be $0.6717 more if it is calculated using the previous balance method.

<h3>what is the difference between the previous balance method and the adjusted balance method?</h3>

Previous balance method: Interest charges are based on the amount owed at the beginning of the previous month's billing cycle.

Adjusted balance method: Bases finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments have been posted.

the total amount on which interest will be applied using the previous balance method = 807.94+41.81+75+18.65 = $943.4

so, interest levied on this= 943.4*10.22*(30/360)*(1/100)= $8.0346

now, the total amount on which interest will be applied using the adjusted balance method = 807.94+41.81+75+18.65-53.88-25 = $864.52

so, interest levied on this = 864.52*10.22*(30/360)*(1/100)= $7.3628

difference between charges by previous balance method and adjusted balance method = 8.0346-7.3628 = $0.6717

therefore, Jennifer's January finance charge will be $0.6717 more if it is calculated using the previous balance method.

to get more about the previous balance method and the adjusted balance method please refer to the link,

brainly.com/question/14351468

3 0
3 years ago
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What is 7.984 ÷ 1.99 as a quotient
OleMash [197]
The answer is 4.0120603015
5 0
3 years ago
Can someone help solve this please
Ronch [10]

Answer:

X=1

Step-by-step explanation:

isolate the variable by dividing each side by 5

5 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Romashka-Z-Leto [24]

Answer: 1 or the letters are LRK

Step-by-step explanation:

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