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sladkih [1.3K]
3 years ago
9

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of a group of people.

Mathematics
1 answer:
Softa [21]3 years ago
7 0
27p (people) = c (cost)
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Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. if p(z >
madreJ [45]
Given that μ=0, and σ=1, P(z>c)=0.1093
thus
P(z<c)=1-0.1093=0.8907
hence the value of c will be:
z-score=(c-μ)/σ
thus
1.23=(c-0)/1
c=1.23
8 0
4 years ago
Find the coordinates of the midpoint of the segment whose endpoints are H (-4, 10) and K (2,-4)
QveST [7]

9514 1404 393

Answer:

  (-1, 3)

Step-by-step explanation:

The midpoint is the average of the end points.

  M = (H +K)/2

  M = ((-4, 10) +(2, -4))/2 = (-4+2, 10-4)/2 = (-2, 6)/2

  M = (-1, 3)

The coordinates of the midpoint are (-1, 3).

3 0
3 years ago
Marshal has 7 candles, 6 wicks, and 8 flames. How is this possible?
valentina_108 [34]
I am guessing is he lit all candles and umm maybe he lit something else on fire and he still has fire on the thing he lit everything with. This is kinda confusing. Good luck lol.

4 0
4 years ago
5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).
Anon25 [30]

Answer:

The following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

f(x)=mx+b

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) y^2=\:5x\:+2

y^2=\:5x\:+2  is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) 2x\:+\:4\:=\:3x\:-\:8

2x\:+\:4\:=\:3x\:-\:8

x=12

This is a linear equation is an equation of a straight line, written in one variable.  The only power of the variable is 1

3) y = 3x - 2

y = 3x - 2 is a linear function because it is of the form f(x)=mx+b and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) y\:+\:x^2\:=\:12

y\:+\:x^2\:=\:12 is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) y\:=\:x^2\:+\:2x

y\:=\:x^2\:+\:2x is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) 1

1 is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree 0 or is the 0 polynomial.

7) 3x\:+\:-y\:=\:24

3x\:+\:-y\:=\:24 is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a  summary, the following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

7 0
3 years ago
Can someone help please?
bearhunter [10]

Answer:

1) 2<x<10 (the first choice)

2) 17<u><</u>x<40 (the first choice)

3) x<u><</u>-1 or x<u>></u>2 (the second choice)

Step-by-step explanation:

1) 2<x<10...this is another way of representing x<10 and x>2 in an "and" inequality. If you look at 2<x<10 from left to right, it says 2 is less than x and x is less than 10.

2) 17<u><</u>x<40...this represents x<u>></u>17 and x<40 in an "and" inequality as well. If you look at 17<u><</u>x<40, it reads 17 is less than or equal to x and x is less than 40.

3) x<u><</u>-1 or x<u>></u>2...the signs are greater than or equal to because the dots are closed on the number line. Also, this is not an "and" inequality. This is actually an "or" inequality. You can mainly tell because the lines are shaded opposite ways and do not intersect.

I hope this helped!! Good luck on your assignment and have a wonderful day :3

6 0
3 years ago
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