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Rasek [7]
3 years ago
11

it costs $150 to be a member of a music club. A member of the club pays $5 per music lesson. A nonmember pays $15 per music less

on. How many music lessons must a member and a non member take so the cost for each is the same?
Mathematics
2 answers:
klemol [59]3 years ago
7 0
15*10L=150
10*15L=150

L stands for lessons
Nataliya [291]3 years ago
4 0
150+5x = 15x
subtract 5x from both sides

150 = 10x
divide both sides by 10 to isolate x

15 = x

After 15 music lessons is your answer.
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The correlation analysis assumes that the measurements have a bivariate normal distribution in the population. Select all of the
RoseWind [281]

Answer:

A. True

B. True

C. False

D. False

E. False

F. False

G. True

Step-by-step explanation:

Select all of the features that define a bivariate normal distribution.

<em>(this means that we select only those that are properties of the bivariate normal distribution)</em>

A. Bell-shaped probability distribution in two dimensions rather than one

<em>TRUE  because any combination of the two is still normal Z(x,y)=aX+bY</em>

B. A relationship between X and Y that is not linear

<em>TRUE The contours of the distribution are ellipses.</em>

C. The presence of outliers

<em>FALSE possible, but not always.</em>

D. Either X or Y has a decidedly skewed distribution

<em>FALSE normal distributions are symmetric</em>

E. A relationship between X and Y that is linear

<em>FALSE see answer to B</em>

F. A cloud of points that is funnel shaped (wider at one end than the other)

<em>FALSE normal distributions are symmetric</em>

G. The frequency distributions of X andY separately are normal

TRUE For example, in <em>Z(x,y)=aX+bY, putting a or b=0 means that X and Y separately are normal.</em>

4 0
3 years ago
Solve for x<br> And show work
klemol [59]

Answer:

x = -8

Step-by-step explanation:

1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.

2. Given the above information, that means x + 96 + 100 + x = 180.

3. (Solving for equation above)

Step 1: Simplify both sides of the equation.

  • (x+x) + (96+100)=180
  • 2x + 196 = 180

Step 2: Subtract 196 from both sides.

  • 2x + 196 - 196 = 180 - 196
  • 2x = -16

Step 3: Divide both sides by 2.

  • \frac{2x}{2} = \frac{-16}{2}
  • x = -8

Step 4: Check if solution is correct.

  • -8 + 96 + 100 - 8 = 180
  • 88 + 100 - 8 = 180
  • 188-8=180
  • 180=180

Therefore, x = -8.

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If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
eimsori [14]
<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

m = (y2-y1)/(x2-x1)

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

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The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

2 = 4.5 + b

2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

b = -2.5

Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5

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