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Softa [21]
3 years ago
10

If someone charges 18 cents per square inch for frames how much will they charge for a frame that measures 16 inches on each sid

e and has a width of 2 inches
Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

<h3>2,106 cents</h3>

Step-by-step explanation:

If the frame that measures 16 inches from each sides has a width of 2 inches the length and width of the internal picture will be 4 inches smaller than that of the frame itself is shown below.

Length of the picture in the frame = 16 inches - ( 2inches + 2 inches)

Length of the picture in the frame = 16 inches -4 inches

Length of the picture in the frame = 12 inches

Width will also be 12 inches

Area of the entire frame (plus picture) = 16 * 16 = 256 in²

Area of the picture = 12*12 = 144in²

Area of the frame only = 256 - 144

Area of the frame only = 112 in²

If the frames are charged 18 cents per square inch, a frame with 112 square inches will be charged (18*112) cents 2016 cents

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Step-by-step explanation:

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Find a ratio equivalent to 15/60
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Answer:

\large\boxed{\dfrac{15}{60}=\dfrac{5}{20}=\dfrac{3}{12}=\dfrac{1}{4}}

or

\large\boxed{\dfrac{15}{60}=\dfrac{30}{120}=\dfrac{45}{180}=\dfrac{60}{240}}

Step-by-step explanation:

Divide the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15:5}{60:5}=\dfrac{3}{12}\\\\=\dfrac{15:3}{60:3}=\dfrac{5}{20}\\\\=\dfrac{15:15}{60:15}=\dfrac{1}{4}\\\vdots

or

Multiply the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15\cdot2}{60\cdot2}=\dfrac{30}{120}\\\\=\dfrac{15\cdot3}{60\cdot3}=\dfrac{45}{180}\\\\=\dfrac{15\cdot4}{60\cdot4}=\dfrac{60}{240}\\\vdots

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Can someone help plz?
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Step-by-step explanation:

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3 years ago
About 10% of people in the United States are left handed. Suppose we take a sample of 120 U.S. Residents, and let X = the number
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Answer:

1) E(X) = np = 120*0.1 =12

SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286

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And we can use the normal approximation given by:

X \sim N(12, \sigma =3.286)

And we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And if we find the z score for 16 we got:

z = \frac{16-12}{3.286}= 1.217

And we can find this probability using the normal standard distribution or excel and we got:

P(Z>1.217) = 0.112

3) For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

Step-by-step explanation:

Let X represent the random variable for the number of residents who are left handed

And for this case we can model this variable with this distirbution:

X\sim Binom(n= 120 , p =0.1)

Part 1

The mean is given by:

E(X) = np = 120*0.1 =12

And the deviation would be:

SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

Part 2

We want to calculate this probability:

P(X\geq 16)

And we can use the normal approximation given by:

X \sim N(12, \sigma =3.286)

And we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And if we find the z score for 16 we got:

z = \frac{16-12}{3.286}= 1.217

And we can find this probability using the normal standard distribution or excel and we got:

P(Z>1.217) = 0.112

Part 3

For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

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