1)In a sample of 100 households, the mean number of hours spent on social networking sites during the month of January was 50 hours. In a much larger study, the standard deviation was determined to be 6 hours.
Assume the population standard deviation is the same. What is the 98% confidence interval for the mean hours devoted to social networking in January?

2)Two studies were completed in Florida. One study in northern Florida involved 2,000 patients; 64% of them experienced flu-like symptoms during the month of December.
The other study, in southern Florida, involved 3,000 patients;
54% of them experienced flu-like symptoms during the same month. Which study has the smallest margin of error for a 95% confidence interval?

Answers

Answer 1
Answer: So the following is the answer of the following question in your problem and please do not post to many question in just one posting. 
#1 The 98% confidence interval for the mean hours is between 6 and 50.
#2 The smallest margin of error between the two is southern florida with 1.8% margin of error.

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Tara works in a clothing store where she earns a base salary of $100 per day plus 12% of her daily sales. she sold $800 in clothing on saturday and $1500 in clothing on sunday. how much did she earn over the two days?

Cara has $25 to buy dry pet food and treats for the animal shelter. A pound of dog food cost $2 and treats are $1 apiece. If she buys 9 pounds of food, what is the greatest number of treats she can buy?

Answers

If dog food costs $2 a pound and Cara buys 9 pounds, her expenditure on dog food is 9 x 2. This makes $18. If she has a total budget of $25 and spends $18 on dog food, she has $7 left over for treats (25 - 18 = 7). At $1 each, she can buy up to 7 treats.

Answer the question below

Answers

Answer:

Edit: Both are same.

Step-by-step explanation:

Volume is the total space occupied by an object.

What is the value of f(-4) in the piecewise function f(x)= -x-5 for -5<= x <= -2; -x^2+1 for -2<=x<=2; (x-3)^2+2 for 2<=x<=4? If that makes any since

Answers

Answer:

The value for f(-4) in the piecewise function is -1

Step-by-step explanation:

As the function is defined by pieces we must choose the correct interval when replacing. In this case, the value of the function needs to be calculated in x=4.  

This value of x is within the interval:

-5<=x<=-2

Therefore we replaced in the corresponding expression:

f(x)=-x-5

f(-4)=-(-4)-5=-1

Take into account this case is not particularly a function since, for example, in the value of x=-2 the expression can take two values corresponding to two different pieces.  The obtained result is only valid in the range for -5<=x<=-2.


We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

Then, we use direct substitution:
f(-4) = -(-4) - 5
f(-4) = -1

Two point charges of equal magnitude are7.5 cm apart. At the midpoint of the line
connecting them, their combined electric field
has magnitude of 45 N/C. Find the magnitude
of the charges.

Answers

q 1 = q 2 = Q
E = k * Q / r²
The combined electric field:
E = 2 * k * Q / r²
k = 9 · 10^9 Nm²/C²
r = 0.075 : 2 = 0.0375 m
45 N/C = 2 · 9 · 10^9 · Q /  0.0375²
45 = 18 · 10 ^9 Q / 0.0014062
Q = 45 · 0.0014062 / 18 · 10^9
Q = 0.003515 · 10^(-9) C 
Q = 3.5155 · 10 ^ (-12) C = 3.5155 pC

Charlie measured the circle-shaped part of a sun his sister drew on the chalkboard. The circumference of the circle is 75.36 cm. What is the diameter? (Use 3.14 for .)

Answers

Answer:

The diameter of circle is 24 cm.

Step-by-step explanation:

We are given the following in the question:

Circumference of circle = 75.36 cm

We have to find the diameter of the circle.

Circumference of circle =

C =2\pi r

where r is the radius of the circle.

Putting values, we get,

75.36 = 2* 3.14* r\n\nr = (75.36)/(2* 3.14)\n\nr=12

Diameter of circle =

d=2r\nd=2* 12=24\text{ cm}

Thus, the diameter of circle is 24 cm.

A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in thebank for a while. Calculate the amount of money the group will have given the following scenarios:
c. If the youth group needs the money quickly, which is the better choice? Why?

Answers

Answer: A) $896 b) $927.42 c) Cool bank

Step-by-step explanation:

A)

Cool bank Simple interest is 4% and the youth group leaves the money for 3 years. Therefore,

$800 x (4/100) x (3) = $96 (Interest gotten)

Therefore total funds = $800 + $86 = $896 in total.

B)

Hot bank simple interest is 3% and youth group leaves the money for 5 years. The fore

$800 (1.03)^5 = $927.42

C)

If the youth needs the money quickly, cool bank should be perfect because the bank pays higher interest rate than hot bank. Hot bank rates is better for a longer period of time due to compounding of interest