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Fiesta28 [93]
2 years ago
11

Which statement must be true?

Mathematics
1 answer:
ohaa [14]2 years ago
8 0

Answer:

Each distribution has a different mean and a different standard deviation.

Step-by-step explanation:

The mean of a data set is the middle number. So, the number/place in the middle of each graph should be considered.

And from observing these graphs, they are all bell curves. The middle of a bell curve is the mean, and the *steeper the bell curve, the smaller the standard deviation. *

-The orange and blue graphs are barely overlapping, so their middle number of the data set must not be shared. (indicating that the mean must be different).

-The steepness and height of each bell curve is different, indicating that the standard deviation must be different

*{why? : If there are more values/numbers/outcomes that are close to the mean, (which would look like a very tall bell curve), the standard deviation (standard deviation is how spread out the values are from the mean on average) is much smaller. }*

The steeper the bell curve, the smaller the standard deviation.

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Write an expression to represent the total cost of paint at a rate of $5.75 per ft.? to paint a triangular-shaped mural where th
ASHA 777 [7]

Answer:

C($)= (x²/2 +11x)5.75

Step-by-step explanation:

Let's assume the height= x

The base= x+22

Area= 1/2(base*height).

Area= 1/2((x+22)(x))

Area= x²/2 +11x

Cost per ft= $5.75

Cost for painting the triangular mural C

C($)= (x²/2 +11x)5.75

7 0
3 years ago
What interval notation represents the data graphed below?
Aliun [14]

Answer: Choice D

(-\infty, -2) \cup [4, \infty)

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

Explanation:

The left portion is the interval (-∞, -2)

This is a shorthand way of saying -\infty < x < -2

The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.

In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to 4 \le x < \infty

Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.

All of this builds up to the full interval notation to be (-\infty, -2) \cup [4, \infty)

The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.

6 0
3 years ago
How do you solve 2(y + 1) – 2 = 4 + 2y - y
Elina [12.6K]

Answer:

y=4

Step-by-step explanation:

2(y+1)-2=4+y

2y+2-2=4+y

2y=4+y

2y-y=4

y=4

7 0
3 years ago
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