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Ket [755]
3 years ago
8

How many different ways can a chairperson and an assistant chairperson be selected for a research project if there are 7 scienti

sts available? Which counting method do you use?
Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0
7P2, so 42 ways - permutation method since the order of choosing matters (chair and vice chair)
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I need #2, #3, #4, #7, and #8.<br> but do as much as you can pls thanks !
kifflom [539]

Answer:

See explanation.

Step-by-step explanation:

2) Your written answer is correct, y = x +4

3) Slope of perpendicular line: 5/2

y=mx+b

4 = (5/2)(4) + b

4 = 10 + b

b = -6

So, y=(5/2)x - 6

4) Slope of perpendicular line: 1

y=mx+b

5 = (1)(4) + b

5 = 4 + b

b = 1

So, y = x + 1

7) Slope of perpendicular line: 3/4

y=mx+b

4 = (3/4)(4) + b

4 = 3 + b

b = 1

So, y = (3/4)x + 1

8) Slope of perpendicular line: 1/4

y=mx+b

-2 = (1/4)(0) + b

b = -2

So, y = (1/4)x - 2

4 0
3 years ago
Use the graph to solve the system of linear equations.<br> x+y=5<br> y – 2x = -4
Romashka [77]
Y=-x+5
Y=2x-4
X would be your slope
Y intercepts would be (0, 5) , ( 0,-4)
Formula i used was Y=Mx+B
3 0
3 years ago
Write a division problem with these types of numbers: • The dividend and divisor are both mixed numbers. • The quotient is a who
viktelen [127]

Answer:

1 2/1 ÷1 1/2  = 2

Step-by-step explanation:

dividend ÷ divisor = quotient

1 2/1 ÷1 1/2  = 2

In order to solve this you need to make the mixed numbers into an improper fraction:

3/1 ÷ 3/2

use the KFC method (Keep Change Flip)

When you got to fractions you wanna divide flip the right and multiply

3/1 (2/3)= 2

4 0
3 years ago
Find the radius of a circle that has an area of 6.76 cm². Use it for pi.
Inessa05 [86]

Answer:

<h2>radius = 1.47 cm</h2>

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius

From the question

Area = 6.76 cm²

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

6.76 = \pi \:  {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{6.76}{\pi}  \\ r =  \sqrt{ \frac{6.76}{\pi} }

r = 1.46689291

We have the final answer as

radius = 1.47 cm

Hope this helps you

8 0
3 years ago
A given line has the equation 10x + 2y = −2.
stepladder [879]
10x + 2y = -2

2y = -10x -2

y = -5x - 1 (slope is -5 and a parallel line will have the same slope)


y = mx + b

slope(m) = -5

12 = -5(0) + b

12 = 0 + b

12 = b

so the parallel line is y = -5x + 12

hope this helps, God bless!

3 0
3 years ago
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