There were 9068 people at a concert. An equal number of people sat in each of 4 sections. How many people sat in each section?

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the

marusya05 [52]

Answer:

Step-by-step explanation:12-4=8

4 0

2 years ago

Coach Evans recorded the height, in inches of each player on his team. The results are shown.

marysya [2.9K]

Answer:

3

Step-by-step explanation:

Given:

Team heights (inches):

61, 57, 63, 62, 60, 64, 60, 62, 63

To find: IQRs (interquartile ranges) of the heights for the team

Solution:

A quartile divides the number of terms in the data into four more or less equal parts that is quarters.

For a set of data, a number for which 25% of the data is less than that number is known as the first quartile $(Q_1)$

For a set of data, a number for which 75% of the data is less than that number is known as the third quartile $(Q_3)$

Terms in arranged in ascending order:

$57,60,60,61,62,62,63,63,64$

Number of terms = 9

As number of terms is odd, exclude the middle term that is 62.

$Q_1$ is median of terms $57,60,60,61$

Number of terms (n) = 4

Median = $\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{60+60}{2}=\frac{120}{2}=60$

So, $Q_1=60$

So, 25% of the heights of a team is less than 60 inches

$Q_3$ is the median of terms $62,63,63,64$

Median = $\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{63+63}{2}=\frac{126}{2}=63$

So, $Q_3=63$

So, 75% of the heights of a team is less than 63 inches

Interquartile range = $Q_3-Q_1=63-60=3$

The interquartile range is a measure of variability on dividing a data set into quartiles.

The interquartile range is the range of the middle 50% of the terms in the data.

So, 3 is the range of the middle 50% of the heights of the students.

4 0

3 years ago

Un automóvil corre a 120 kilómetros por hora y otro a 80 kilómUetros por hora; si deben recorrer 960 kilómetros, ¿con cuántas ho

Artist 52 [7]

Answer:

4 hours

Step-by-step explanation:

The speed of the first car is

$v_1 = 120 km/h$

While the speed of the second car is

$v_2=80 km/h$

The time it takes for each car to cover a distance d is

$t=\frac{d}{v}$

where

d = 960 km is the total distance covered

For car 1, the time taken is:

$t_1=\frac{960}{120}=8 h$

For car 2, the time taken is:

$t_2=\frac{960}{80}=12 h$

Therefore, the difference in time is:

$\Delta t =t_2-t_1 =12 -8 = 4 h$

8 0

3 years ago

Acellus

aksik [14]

9514 1404 393

Answer:

{-8, -4, -2, -1, 1, 2, 4, 8}

Step-by-step explanation:

Possible rational roots are positive and negative divisors of the constant 8:

{-8, -4, -2, -1, 1, 2, 4, 8}

_____

<em>Additional comment</em>

This polynomial has no rational roots. Its two real roots are both negative and irrational.

7 0

3 years ago

Write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).

Marina86 [1]

Answer:

$x=-3$

Step-by-step explanation:

'x = -3', when graphed, passes through the point (-3,7) and (-3,0).

Since the line passes (-3,0), the x-intercept is -3.

(-3, 7) lies on the equation.

I have attached a picture of the graphed equation.

'x = -3' should be the correct answer.

3 0

3 years ago

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