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Rama09 [41]
3 years ago
6

HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of t

he window is 6 and 3/ 4 feet, how many feet of the wood is needed to frame the window? Write your answer as a proper or improper fraction

Mathematics
1 answer:
ohaa [14]3 years ago
4 0
We need the perimeter of the window for framing

The window is in the shape of a rectangle with the height of 9 \frac{1}{3} feet and width of 6 \frac{3}{4}. The diagram of the shape is shown below

The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.

The perimeter of the window is 9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4} = 18 \frac{2}{3}+12 \frac{6}{4} 

We have two whole numbers 18 and 12 and two fractions \frac{2}{3} and \frac{6}{4}

Adding the two fractions that have different denominator 
\frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12}, which is an improper fraction which we can change into a mixed number 2 \frac{1}{6}

So the perimeter of the window is 
18+12+2 \frac{1}{6} =32 \frac{1}{6} 

and the length of wood needed for the frame is 32 \frac{1}{6} feet


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Can someone PLEASE help me with this question?
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Answer:

  11

Step-by-step explanation:

The future value of the account is given by the formula ...

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Solving for t, we find ...

  A/P = (1 +r/12)^(12t) . . . . . . . . . . . divide by P

  log(A/P) = 12t·log(1 +r/12) . . . . . . take logs

Divide by the coefficient of t, then fill in the numbers.

  t = log(A/P)/(12·log(1 +r/12)) = log(202800/93000)/(12·log(1 +.068/12))

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2 years ago
Philip Morris wishes to determine if there is a difference between the proportion of women and proportion of men who smoke cigar
uranmaximum [27]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the women and men who smoke respectively. The population proportion of women and men who smoke would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of women and men who smoke.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For women

x1 = 14

n1 = 110

p1 = 14/110 = 0.13

For men,

x2 = 7

n2 = 95

p2 = 7/95 = 0.07

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (14 + 7)/(110 + 95) = 0.1

1 - pc = 1 - 0.1 = 0.9

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.13 - 0.07)/√(0.1)(0.9)(1/110 + 1/95)

z = 1.47

From the options given, the test statistic is

e. none of these is correct.

Since it is a right tailed test, we will look at the area to the right of z = 1.47. The p value would be

p value = 1 - 0.9292 = 0.078

Since alpha, 0.005 < than the p value, 0.078, then we would fail to reject the null hypothesis. Therefore, the data does not indicate that the proportion of women who smoke cigarettes is higher than the proportion of men who do at α=.005

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Answer:

Hey there!

3n-2=2n

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Let me know if this helps :)

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Divide both numbers by 3.

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120 minutes = 2 hours.

It will take you 2 hours to wash all the windows.
5 0
3 years ago
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