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Leto [7]
2 years ago
12

Find the domain and range

Mathematics
1 answer:
julia-pushkina [17]2 years ago
7 0

Answer:

Domain: (-∞, ∞)
Range: [-2, ∞)

Step-by-step explanation:

The domain of any parabola is (-∞, ∞)
The range of this parabola is [-2, ∞) because the vertex is at (-2, -2).

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A certain brand of dinnerware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45
denis23 [38]

Answer:

a) 0.20

b) 0.45

c) 0.65

d) Yes

e) Yes

f) Z = X + Y (except when X = 1 and Y = 1)

This is because the successes of X and Y are mutually exclusive events but their failures aren't. X and Y cannot both be 1.

Step-by-step explanation:

Probability of a red set = 20% = 0.20

Probability of a white set = 45% = 0.45

Probability of a blue set = 35% = 0.35

Probability of the single set being a red or white set = 20% + 45% = 65% = 0.65

P(X=1) = 0.20, P(X=0) = 1 - 0.2 = 0.80

P(Y=1) = 0.45, P(Y=0) = 1 - 0.45 = 0.55

P(Z=1) = 0.65, P(Z=0) = 1 - 0.65 = 0.35

a) pX = P(X=1) = 0.20

b) pY = P(Y=1) = 0.45

c) pZ = P(Z=1) = 0.65

d) Since only one order is being considered at a time, it isn't possible to order red & white set in a single set, hence, both X and Y cannot both be successes (equal to 1) at the same time. But they can both be failures (both equal to 0) if a blue set is ordered. The successes of X and Y are mutually exclusive events but their failures aren't

e) Is pZ = pX + pY

pX = 0.2, pY = 0.45, pZ = 0.65

Hence, this statement is correct!

f) Z = X + Y

Let's check all the probabilities

when X = 1 and Y = 1, Z = 1

1 ≠ 1 + 1

when X = 0 and Y = 1, Z = 1

1 = 0 + 1

when X = 1 and Y = 0, Z = 1

1 = 1 + 0

when X = 0 and Y = 0, Z = 0

0 = 0 + 0

Hence, Z = X + Y (except when X = 1 and Y = 1)

This is because the success of X and Y are mutually exclusive events but their failures aren't.

8 0
3 years ago
How many solutions does the equation have below:<br> -5x + 10x + 3 = 5x + 6
Anettt [7]

Answer:

2 Answer solutions if you do it two ways.

Step-by-step explanation:

7 0
3 years ago
Each floor in the old headquarters of Oldham Bank and Trust is 14 feet in
WARRIOR [948]
80ft! I might be wrong though

How I did it:
Since there are 5 floors (ground floor included) then that means only 1 floor is 24ft so I multiplied 14 by 4 to get 56 then I added 24 to get 80!
3 0
3 years ago
Formula for 1/9 divided by 2/3
igomit [66]
Keep change flip formula????
7 0
3 years ago
Estimate 71,903 - 25,368 by first rounding each number to the nearest thousand.​
BaLLatris [955]
Rule of thumb in basic rounding is 5 above round up, below five don’t round up.

To round to the nearest thousand, you look at the hundred place. What is the number nearest to?

71,903 Is rounded up to 72,000
^

25,368 is rounded to 25,000
^

72,000 - 25,000 = 47,000
6 0
3 years ago
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