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Olenka [21]
3 years ago
6

Selecting an Instructor At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instru

ctors, and 4 science instructors. If an instructor is selected, find the probability of getting a science instructor or a math instructor.
Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

11/19

Step-by-step explanation:

Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.

The probability of selecting a science instructor is 4/19

The probability of selecting a math instructor is 7/19

The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19

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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points \left (x_{1},y_{1} \right ) and \left (x_{2},y_{2}\right )

Since from the graph the two points closest to the line are\left ( 10,36 \right ) and \left ( 22,12 \right ).

Equation of line with two points closest to the line :

                                                    y-y_{1}=m\cdot \left ( x-x_{1} \right )

where m is the slope.

First we find the slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  

m=\frac{12-36}{22-10}

on simplify we get,  m=-2.

Now, to find  the equation of the line:  y-y_{1}=m\cdot \left ( x-x_{1} \right )

y-36=\left ( -2 \right )\cdot \left ( x-10 \right )

Apply distributive property on right hand side, we get

y-36=-2\cdot x+20

Adding both sides by 36, we get

y=-2x+20+36

y=-2x+56.

The equation for the linear  model in the scatter plot obtained by the two closest point \left ( 10,36 \right ) and \left ( 22,12 \right ) closest to the line is,

y=-2x+56










7 0
3 years ago
Read 2 more answers
Free cheat!!!!division!!
swat32

Answer:

thats helpful

Step-by-step explanation:

6 0
3 years ago
Jar contains 8 green, 4 blue, 10 red, and 2 yellow skittles. A skittle is randomly drawn replaced then another is drawn. Find ea
Brrunno [24]

Answer:

green= 33.33%

blue= 16.7%

red=41.6%

yellow=8.33%

Step-by-step explanation:

Total 24 skittles

Divide them

green

8/24

blue

4/24

red

10/24

yellow

2/24

7 0
3 years ago
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Is the graphed function linear?
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5 0
2 years ago
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A circle has a radius of 9 cm and a sector of the circle has an arc length of 9. 7cm
frutty [35]

Answer:

S = R θ      where θ is in radians

If θ  = 2 pi then S = 2 pi R       the circumference of the circle

θ = S / R = 9.7 / 9 = 1.08 rad

Since 1 rad = 360 / (2 pi) = 57.3 deg

the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg

7 0
2 years ago
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