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weqwewe [10]
3 years ago
6

A grocery store is offering a 50% discount off a $4.00 box of cereal. You also have a $1.00 off coupon for the same cereal. Use

a composite function to show whether it is better to use the coupon before or after the discount. (Sorry for all the questions, I've been up all night doing this and I'm bad enough at math WITH sleep)
Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
It is best to use the discount first because the more value, higher percent.

Discount First:
4.00*.5 = $2.00 TOTAL
$2.00-$1.00 = $1.00 GRAND TOTAL

Discount After:
4.00-1 = $3.00 TOTAL
3*.5 = $1.50 GRAND TOTAL

You would save 50 cents
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4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep
bagirrra123 [75]

Answer:

A sample of 18 is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.92}{2} = 0.04

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.04 = 0.96, so Z = 1.88.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the standard deviation was 2.2 days.

This means that \sigma = 2.2

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.88\frac{2.2}{\sqrt{n}}

\sqrt{n} = 1.88*2.2

(\sqrt{n})^2 = (1.88*2.2)^2

n = 17.1

Rounding up:

A sample of 18 is required.

3 0
2 years ago
What is the value of |−32|?
Vlad [161]
32. The absolute value of a number x (|x|) will always be positive. It just means how far the number is from 0 on the number line.
8 0
2 years ago
Read 2 more answers
Log In a survey of a town, 63% of residents own a car, 20% of residents own a truck, and 4% of residents own both a car and a tr
yan [13]

Answer:

6%

Step-by-step explanation:

Let T= truck

C= Car

We are looking for the probability that someone owns a truck given that they own a car

or

P(T|C)

The conditional probability formula is as follows:

P(T|C)=(T∩C)/C

plugging in numbers..

.04/.63=6.3492% which rounds to 6%

4 0
2 years ago
What is the center and radius of a circle whose equation is x2 + y2 -2x -6y -5 = 0?
ddd [48]

x²+y²-2x-6y-5=0

x²-2x+y²-6y=5

x²-2x+1+y²-6y+9=5+1+9

(x-1)²+(y-3)²=15

(x-1)²+(y-3)²=(V15)²

-> centre of the circle: C(-1,-3)

-> radius of the circle: V15

4 0
2 years ago
You earn $65,000 a year, are married, and claim your spouse, yourself, and two children. What amount is withheld weekly for fede
german

Answer:

C

Step-by-step explanation:

5 0
2 years ago
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