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yuradex [85]
3 years ago
7

A very large number of college men were asked what they thought their ideal weight was . A five-number summary of the responses

(in pounds) follows: Median 175 Quartiles 155 196 Extremes 123 225 What is your best guess about the percent of the men who gave a response that falls in the interval 155 to 195 pounds
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0

Answer:

50%

Step-by-step explanation:

The interval between the first quartile,25-th percentile, (155) and the third quartile, 75-th percentile, (196) comprises 50% of the sample data.

The desired interval is from 155 to 195 pounds, which starts exactly at the first quartile and ends just one pound short of the third quartile. Since this sample has a large number of men and a range of 102 pounds, that one pound difference can be neglected. Therefore, the percent of men who gave a response that falls in the interval 155 to 195 pounds can be guessed to be roughly 50%.

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A circle has a circumference of 28π centimeters. In terms of π, what is the area of the circle to the nearest square centimeter?
Vadim26 [7]

Hi there!

The formula to find the are of a circle is :

a = \pir²

The formula to find the circumference of a circle is :

c = 2\pir


In order to use the area formula, you need to figure out what the radius (r) is.

If we solve for "r" in the circumference equation, we have :

r = c ÷ (2\pi)


Now we use this to replace "r" in the area formula :

a = \pi ( c ÷ (2\pi))²


When we simplify this we get :

a = c² ÷ 4\pi


Now you can put your value of "c" into this equation and find "a".

*Remember, \pi is about 3.1416.


Solving for "a" :

a = c² ÷ 4\pi

a = 28² ÷ 4\pi


28² = 28 × 28 = 784


a = 784 ÷ 4\pi


4\pi = 4 × \pi = 12.56637061435917


a = 784 ÷ 12.56637061435917

a = 62.38873769202297cm²


You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :

a = 62cm²


There you go! I really hope this helped, if there's anything just let me know! :)

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A. Write 64√2 in the form 2^n
xxMikexx [17]

We get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.

An expression is a way in which numbers are written.

It can be variables, constants or a combination of both.

We are given an expression:

64 √2

We know that:

64 = 2 × 2 × 2 × 2 × 2 × 2

64 = 2⁶

Also, we can write √2 as

√2 = 2⁰°⁵

We get that:

2⁶ × 2⁰°⁵

simplifying the expression, we get that:

= 2⁶⁺⁰°⁵

= 2⁶°⁵

Therefore, we get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.

Learn more about expression here:

brainly.com/question/723406

#SPJ9

7 0
1 year ago
HELP WILL GIVE 15 POINTS <br>what is the range of this function and pls explain​
Nataly [62]

Answer:

f(x)\geq -2

Step-by-step explanation:

Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is

f(x)\geq -2\\

Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2

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