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Dmitriy789 [7]
2 years ago
8

There are 4 students in a small class. To make a team, the names of 3 of them will be drawn from a hat. How many different teams

of 3 students are possible?
Mathematics
1 answer:
Volgvan2 years ago
8 0

Answer:

Step-by-step explanation:

Order shouldn't make any difference.

3 C 4  = 4!/(3! 1!) = 4

Let's see if that is right.

1 2 3

1 2 4

1 3 4

2 3 4

Any other combination will produce a duplicate if order doesn't matter. For example

2 4 3 is the same thing as 2 3 4

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Assuming a linear relationship between x and y, if the coefficient of correlation (r) equals -0.75, this means that:
Gelneren [198K]

Since we are given that the relationship between x and y is linear. Therefore this means that the given equation takes the form of:

y = m x + b

where,

b is the y intercept of the equation

m is the slope of the equation

 

However we should take note that the slope m is directly proportional to the coefficient of correlation. Since our coefficient of correlation is negative, this only means that the value of y is decreasing with increasing x, hence plot of y and x is descending with increasing x. Furthermore, this also tells that for every 1 unit increase of x, there is a 0.75 units decrease of y.

6 0
3 years ago
Lucy is knitting a blanket and needs to buy some more yarn. at her local craft store, 2 skeins of yarn cost $7 and 8 skeins of y
laila [671]

Answer:

4

Step-by-step explanation:

Proportionality between skein values

8:2=4:1

Proportionality between cost values

28:7=4:1

The variation(both the skein values and cost values) has the constant of 4 ie the 1st skein value × 4= the last skein value & the 1st cost value × 4=the last cost value

7 0
2 years ago
Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the
kirill [66]

Answer:

<h3>A. 1 hour</h3>

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x,  =  75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

3 0
2 years ago
The following triangles are similar. Find x
aleksandrvk [35]

Answer:

15

Step-by-step explanation:

if 3x3 is 9 and 4x3 is 12 then 5x3 is 15

7 0
2 years ago
20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma
Zielflug [23.3K]
Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer:  {x = 4 {y = 1


Please note the { are supposed to span over both equations but it interfaces doesn't  allow it. Please see attachment for clarification.

7 0
3 years ago
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