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max2010maxim [7]
3 years ago
9

What is the number of combinations of 7 things taken 3 at a time?

Mathematics
1 answer:
Helga [31]3 years ago
7 0
C_7^3=\dfrac{7!}{3!4!}=\dfrac{5\cdot6\cdot7}{2\cdot3}=35
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30 POINTS PLEASE HELP
user100 [1]

Answer:

If all other factors are controlled, and the only variable being changed is the new medication, then Byron can conclude that the new medication is effective at reducing coughing. This can be further tested by repeated experiments by peers. 

Step-by-step explanation:

8 0
2 years ago
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The number of students who chose lunch was 5 more than the number of students who chose breakfast. Write a system of linear equa
Papessa [141]

Answer:

The system of linear equations are y=5+x and  x+y=25

Step-by-step explanation:

Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.

(50 students picked, 25 picked dinner the rest picked lunch and breakfast)

To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?

Solution :

The number of students who chose breakfast be 'x'

The number of students who chose lunch be 'y'.

The number of students who chose lunch was 5 more than the number of students who chose breakfast.

i.e. y=5+x

Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.

So, x+y=25

Therefore, the system of linear equations are y=5+x and  x+y=25

4 0
3 years ago
What is the slope of the line on the graph
ella [17]

Answer:

The slope is 6

Step-by-step explanation:

The rise is 6 and the run is 1. 6/1

4 0
2 years ago
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Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFr
nlexa [21]

answer is C

He made an error in Step 3. He should have subtracted 2 from both sides.

4 0
3 years ago
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What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
makkiz [27]

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

6 0
3 years ago
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