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MAXImum [283]
3 years ago
9

PLEASE HELP!!!!! The data set below shows the number of homework assignments required in math classes for a month:

Mathematics
2 answers:
NISA [10]3 years ago
8 0
There is one outlier that indicates an unusually small number of assignments required in that class
Vika [28.1K]3 years ago
4 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given data set is

22, 23, 23, 21, 18, 4, 17, 15, 23, 20, 24, 15, 25, 16

Arrange the data is ascending order.

4, 15, 15, 16, 17, 18, 20, 21, 22, 23, 23, 23, 24, 25

Divide the data in 4 equal parts.

(4, 15, 15), 16, (17, 18, 20), (21, 22, 23), 23, (23, 24, 25)

Now, we can say that

Q_1=16

Q_3=23

The interquartile range of the data set is

IQR=Q_3-Q_1=23-16=7

If the data lie in the interval [Q_1-1.5(IQR),Q_3+1.5(IQR)], then the data set has not outliers.

[Q_1-1.5(IQR),Q_3+1.5(IQR)]=[16-1.5(7),23+1.5(7)]\Rightarrow [5.5,33.5]

All the data lie in the interval [5.5,33.5] except 4. So, 4 is an outlier of the given data.

There is one outlier that indicates an unusually small number of assignments required in that class. Therefore the correct option is 2.

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TEA [102]

You might be thinking of "distribution" or "distributive property"

Example:

2(3x+5) = 2*3x+2*5 = 6x+10

I multiplied the outer 2 by each term inside (3x and 5)

4 0
3 years ago
Read 2 more answers
A line passes through the point (–6, –3) and has a slope of 2/3 . Which point is on the same line?
navik [9.2K]

Answer:

The point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where

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  • b is the y-intercept

Given

  • The point (-6, -3)
  • The slope m = 2/3

Using the point-slope form

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

In our case:

  • m = 2/3
  • (x₁, y₁) = (-6, -3)

substituting the values m = 2/3 and the point (-6, -3)  in the point-slope form

y-y_1=m\left(x-x_1\right)

y-\left(-3\right)=\frac{2}{3}\left(x-\left(-6\right)\right)

y+3=\frac{2}{3}\left(x+6\right)

Subtract 3 from both sides

y+3-3=\frac{2}{3}\left(x+6\right)-3

y=\frac{2}{3}x+4-3

y=\frac{2}{3}x+1

comparing with the slope-intercept form y=mx+b

Here the slope = m = 2/3

Y-intercept b = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Given the line

y=\frac{2}{3}x+1

at x = 0, y = 1

Thus, the point (0, 1) represents the y-intercept.

Hence, the y-intercept (0, 1) is on the same line.

5 0
3 years ago
The volume of a prism with base B is 20 cubic centimeters. Find the area of the base of the height of the prism is 5 centimeters
marshall27 [118]

Answer:

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5 0
3 years ago
F(x)=(2x-1)(x-5) find all zeros
Sergio039 [100]

Answer:

x = 5 and x = \frac{1}{2}

Step-by-step explanation:

To find the zeros equate f(x) to zero, that is

(2x - 1)(x - 5) = 0

equate each factor to zero and solve for x

2x - 1 = 0 ⇒ x = \frac{1}{2}

x - 5 = 0 ⇒ x = 5


7 0
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Answer:

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