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mart [117]
4 years ago
14

PLEASE HELP me with this problem

Mathematics
1 answer:
sveta [45]4 years ago
5 0
Answer: Choice B
The graph with closed circles at 0, 1, 2, 3, 4, 5, and 6

---------------------------------------------------------------

Let x be the number of games in which Jana scored exactly 2 goals
The values of x that are allowed are positive whole numbers only. We cannot have a fractional count of games. We cannot have a negative number of games either.

This season she scored 0 goals in 22 games and 1 goal in each of 16 games. So far, the total comes to 0*22 + 1*16 = 16 goals

For the other games where she scored 2 goals a game, she adds on 2*x goals to the previous total of 16 (eg: if x = 4 then she scores 2*x = 2*4 = 8 extra goals on top of the 16 done so far)

The grand total for this season is 16+2x or 2x+16

This expression 2x+16 must be less than 29 since she scored fewer than the goal count the last season (29). 
Also, the expression 2x+16 must be larger than 16 or equal to 16 because we already know Jana scored 16 goals

What we end up with is this compound inequality: 16 <= 2x+16 < 29 

Let's solve for x
16 <= 2x+16 < 29
16-16 <= 2x+16-16 < 29-16 .... subtract 16 from all sides
0 <= 2x < 13 
0/2 <= 2x/2 < 13/2  .... divide all sides by 2
0 <= x < 6.5

Keep in mind that x is the number of games where exactly two goals are scored by Jana. So we cannot have x = 6.5
Round down to the nearest whole number and we have 0 <= x <= 6
Since x is an integer, we can summarize all the possible x values to be this set of numbers: {0, 1, 2, 3, 4, 5, 6}

Graphing all that on the number line leads to choice B as the answer

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Answer:

3

Step-by-step explanation:

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3 is the answer

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4 years ago
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Angles 1 and 2 are corresponding angles. Angle 1 is 3x+15. Angle 2 is 4x-5. What is the value of x?.
Kisachek [45]

Answer:

number 1 is x=5. 2 is 0.8.

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3 years ago
6x + 5y = 16<br> −6x + 7y = 80
Kobotan [32]

The equation of the line in point-slope form is equal to

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step 1

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step 2

convert to standard form

6 0
4 years ago
The graph of g(x) is a reflection and translation of f(x) = 2x<br> Which equation represents g(x)?
lions [1.4K]

Answer:

-2x -1 if f(x) is reflected along the x axis and translated 1 unit downward

Step-by-step explanation:

A function can either be reflected along the x axis or along the y axis. If a function is reflected along the x axis, the new reflected equation g(x) is given by:

g(x) = -f(x) = -2x

g(x) = -2x

If a function is reflected along the y axis, the new reflected equation g(x) is given by:

g(x) = f(-x) = 2(-x)

g(x) = -2x

Translation means the shifting of the curve either up or down in a graph. If the reflected function is shifted 1 unit upward, the function becomes:

g(x) + 1 = -2x + 1

If the reflected function is shifted 1 unit downward, the function becomes:

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8 0
3 years ago
Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standar
Maurinko [17]

Answer:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

\bar X = 94.2

The standard deviation is given by:

s= 15.5

And the standard error is given by:

SE = \frac{s}{\sqrt{n}} =3.1

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

z_{\alpha/2}= \pm 0.994

We can find the interval like this:

\bar X \pm ME

And replacing we got:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

7 0
3 years ago
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