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miv72 [106K]
3 years ago
15

Twenty people apply for an open position at an accountant's office. The distribution of ages of the applicants is shown in the b

ox plot.
Distribution of Applicant's Ages

How many of


age in years

the applicants have ages that fall within the box of the box plot?


Please help!!!!
Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

The number of applicants that have ages that fall within the box of the boxplot = 10.

Step-by-step explanation:

box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The boxplot usually consists of a box and a whisker plot.

The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.

The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.

Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.

The total number of applicants = 20

50% of 20 = 10.

Hence, the number of applicants that have ages that fall within the box of the boxplot = 10

Hope this Helps!!!

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Each week Charlene uses 3/4 of a bag of cat food to feed her cats. She has 112 bags of cat food in stock. How long will her stoc
inessss [21]

The stock of cat food will last for 149 weeks.

Step-by-step explanation:

Given,

Bags of cat food in stock = 112

Bags used each week = \frac{3}{4}\ of\ one\ bag

Let,

x be the number of weeks.

Therefore,

\frac{3}{4}x=112

Multiplying both sides by 4/3

\frac{4}{3}*\frac{3}{4}x=112*\frac{4}{3}\\x=\frac{448}{3}\\x=149.33

Rounding off to nearest whole number;

x=149

The stock of cat food will last for 149 weeks.

Keywords: fraction, multiplication

Learn more about fractions at:

  • brainly.com/question/116167
  • brainly.com/question/11705002

#LearnwithBrainly

4 0
3 years ago
During a 5​-year ​period, 48​% of snowstorms in a certain city caused power outages. Thirty dash nine of the snowstorms did not
beks73 [17]

Answer:

75

Step-by-step explanation:

48% of snowstorms caused power outages, which means 52% did not.

Therefore, 39 is 52% of all snowstorms.

39 = 0.52x

x = 75

There were 75 snowstorms over the 5-year period.

4 0
3 years ago
I need the domain range and function. With an explanation
erastovalidia [21]
<h3>Answers:</h3>

Problem 1

  • Domain = -3 < x \le 3, interval notation (-3, 3]
  • Range = -3 \le y < 3, interval notation [-3, 3)
  • Is it a function? Yes

Problem 2

  • Domain = x \ge -2, interval notation [-2, \infty)
  • Range = All real numbers, interval notation (-\infty, \infty)
  • Is it a function? No

Problem 3

  • Domain = -4 \le x < 3, interval notation [-4, 3)
  • Range = -4 < y \le 3, interval notation (-4, 3]
  • Is it a function? Yes

Problem 4

  • Domain = All real numbers, interval notation (-\infty, \infty)
  • Range = y \le 4, interval notation (-\infty, 4]
  • Is it a function? Yes

==================================================

Explanations:

  1. The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore -3 < x \le 3 which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.
  2. The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is x \ge -2 which in interval notation is [-2, \infty). The range is (-\infty, \infty) to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.
  3. This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.
  4. This is a function because it passes the vertical line test. The domain is the set of all real numbers due to the arrows in both directions. Any x value is a possible input. The range is y \le 4 which is the same as saying (-\infty, 4] in interval notation. This is because y = 4 is the largest y value possible. There is no smallest y value due to the arrows.

7 0
4 years ago
The (greatest, least) of the common factors of 2 or more numbers is the (greatest, least) common factor of the numbers.
Liula [17]

Answer:

The greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

Step-by-step explanation:

As we know that

The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.

Thus, the greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

For example, lets find the greatest common factor of 36 and 54.

The possible factors of 36 are:

                                                   1, 2, 3, 4, 6, 9, 12, 18, and 36.

The possible factors of 54 are:

                                                   1, 2, 3, 6, 9, 18, 27, and 54.

The common factors of 36 and 54 are:

                                                   1, 2, 3, 6, 9, 18

So, from the common factors, it is easy to figure out that 18 is the greatest common factor.

4 0
3 years ago
Find the equation to the line below!!!
elena55 [62]
6/2 is the answer rise over run method
7 0
3 years ago
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