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3 years ago

If a model scale is 1 foot to 5 feet, how long will the model be

Mathematics

1 answer:

dalvyx [7]3 years ago

6 0

The model will be 5 times longer that stated.

E.g if the model is said to be 10 feet long using this scale.

10*5=50

50 feet

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Given that f(x) = x + 3<br> a) Find f(2)

Nataly_w [17]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

In the above question, it is given that :

$\qquad \sf \boxed{ \sf f(x) = \frac{x + 3}{2} }$

A.) Find f(2) :

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{2 + 3}{2}$

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{5}{2}$

$\qquad \sf \dashrightarrow \: f(2) = 0.5$

B.) Find ${ \sf {f}^{-1}(x) }$ :

$\qquad \sf \dashrightarrow \: let \: y = f (x)$

so, we can write it as :

$\qquad \sf \dashrightarrow \: y = \dfrac{x + 3}{2}$

$\qquad \sf \dashrightarrow \: 2y = x + 3$

$\qquad \sf \dashrightarrow \: x = 2y - 3$

Now, put x = ${ \sf {f}^{-1}(x) }$ , and y = x and we will get our required inverse function ~

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3$

C.) Find ${ \sf {f}^{-1}(12) }$ :

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 36- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 33$

7 0

1 year ago

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.118.11 and a standard deviation of 1.

shutvik [7]

Answer:

2.5% of American women have shoe sizes that are at least 11.03.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.11

Standard deviation = 1.46

Using the empirical rule, what percentage of American women have shoe sizes that are at least 11.03?

11.03 = 8.11 + 2*1.46

So 11.03 is two standard deviations above the mean.

The empirical rule states that 95% of the measures are within 2 standard deviation of the mean. Since the distribution is symetric, of those 5% farther than two standard deviations of the mean, 2.5% are higher than 2 standard deviations above the mean and 2.5% are lower than 2 standard deviations below the mean.

So 2.5% of American women have shoe sizes that are at least 11.03.

8 0

3 years ago

Solve for n<br> N<br> - =7<br> -5

goldfiish [28.3K]

Answer:

N = 14 - 7 = 7 - 5 = 2 is the answer

Step-by-step explanation:

Also My zodiac sign is ♓

7 0

3 years ago

What is the volume of the cone shown below?

maw [93]

Volume = 1/3 * pi r^2 h

= 1/3 * pi * 8^2 * 78

= 1664 pi cu units

3 0

3 years ago

Read 2 more answers

Find the area of the square in inches^2 and enter your answer below. Do not include units in your answer.

elena-s [515]

The answer is 25.
This is because to calculate the area of a 2 dimensional shape, you must multiply the length and the width. When the shape is a square (or a cube, if you're calculating something for a 3 dimensional shape), all side lengths will be equal. The formula for area is: Area = Length x Width, therefore you would multiply 5 with 5 to get 25, your final answer.

4 0

3 years ago