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2 years ago

Please help any one this is hard for me Thank you

Mathematics

1 answer:

steposvetlana [31]2 years ago

6 0

So the formula I use is S = L + 2B
Surface Area = Lateral Area + 2(Base)
In this case, it would be
Surface Area = Lateral Area + Base, since there is only one base
L= Perimeter(height)
L= 4(3 times 5)
----------------
2
L= 4(15)
------
2
L =60/2
L=30
S= 30 + B
B = 3 times 3 = 9
S= 39

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Suppose that in a random sample of 300 employed Americans, there are 57 individuals who say that they would fire their boss if t

otez555 [7]

Answer:

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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For this problem, we have that:

$n = 300, \pi = \frac{57}{300} = 0.19$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 - 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.1456$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 + 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.2344$

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2 years ago

Carl wants to buy a television that cost $500 including taxes to pay for the television he will use a payment plan that requires

ozzi

Answer:

41%

Step-by-step explanation:

Given the cash price is $500, the hire purchase price is calculated by summing the installment and down-payment:

$Hire \ Purchase \ Price=Installments +Downpayments\\\\=8\times 72.50+125\\\\=705$

#Percentage increase in price is the difference between the hire purchase price and list price as a percentage of the list price:

$\bigtriangleup Price=705-500\\\\=205\\\\\%\bigtriangleup Price=\frac{\bigtriangleup Price}{500}\times 100\%\\\\\\=\frac{205}{500}\times100\%\\\\=41\%$

Hence, the % increase in price is 41%

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2 years ago