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3 years ago

Ian is going to use a computer at an internet cafe. The cafe charges an initial fee to

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

Answer:

C(t) = 6 + .4t

Step-by-step explanation:

Since there is a constant rate of 6 for the first 5 minutes, that would be a value itself. After that, it would always differ by .4 every minute, making this the function.

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PLEASE HELP with math. 15 POINTS!! i need to write a justification for these 4.

Arte-miy333 [17]

Answer:

Step-by-step explanation:

8 0

2 years ago

Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra

Thepotemich [5.8K]

Answer:

The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1 = For women

A survey found that 37 of 74 randomly selected women

p1 = x/n1

n1 = 74

x1 = 37

p1 = 37/74

p1 = 0.5

Group 2 = For Men

A survey found out that 47 of 74 randomly selected men follow a regular exercise program

p2 = x/n1

n2= 74

x2 = 47

p2 = 47/74

p2 = 0.6351351351 ≈ 0.635

z = z score for 95% Confidence Interval = 1.96

The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

-0.135 ± 1.96 × 0.08068750209663572

-0.135 ± 0.158147504109406

Hence:

= -0.135 - 0.158147504109406

= -0.2931475041

Approximately = -0.293

= -0.135 + 0.158147504109406

= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

6 0

2 years ago

A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack. If the retailer sold all the sh

Karolina [17]

We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.

Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.

Let us first find LCM of 24 and 5. The LCM is 120.

Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:

$\text{Profit=}(24x)(8)-(5x)(30)\\\text{Profit=}192x-150x\\\text{Profit=}42x\\$

We can set this equal to the given profit to figure out the value of x first.

$42x=84\Rightarrow x=2$

Therefore, the retailer sold 120(2)=240 shirts, that is, 48 packs.

8 0

3 years ago

Read 2 more answers

step below. Question 1 Hexagon AGHBGHCGHD GHEGHFGH is a reflected image of hexagon ABCDEF. The midpoints of the sides of hexagon

Anuta_ua [19.1K]

Answer:

Hexagon AGHBGHCGHDGHEGHFGH coincides with hexagon ABCDEF when GH passes through the midpoints of opposite sides; that is, it is a perpendicular bisector of the two sides. HexagonAGHBGHCGHDGHEGHFGH also coincides with hexagon ABCDEF when the line of reflection joins a pair of vertices opposite one another on the hexagon. There are three perpendicular bisectors and three pairs of opposite vertices. In all, there are six lines of reflection that will map the hexagon back onto itself.

Step-by-step explanation:

5 0

3 years ago

3x+5=12-7x solve? Help

horsena [70]

Answer:

3x + 5 = 12 - 7x

⇒ 3x = 12 - 5 - 7x

⇒ 3x = 7 - 7x

⇒ 3x + 7x = 7

⇒ 10x = 7

⇒ x= 7 ÷ 10

⇒<u> x = 0.7</u>

8 0

2 years ago