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storchak [24]
2 years ago
13

How do I find the area of the non-shaded figure?!?

Mathematics
2 answers:
Rainbow [258]2 years ago
6 0

Answer:

Answer:

51 cm²

Step-by-step explanation:

Rectangle = 6x12=72

triangle = 1/2(7)(6)=21

Non-shaded=72-21=51 cm²

Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region

gtnhenbr [62]2 years ago
5 0

Answer:

51 cm²

Step-by-step explanation:

rectangle = 6x12=72

triangle = 1/2(7)(6)=21

Non-shaded=72-21=51 cm²

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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
Ations with the Distributive Property<br> Solve the equation.<br> -3(y + 5)= 15
AlekseyPX
Y=-3 it is the answer.
6 0
3 years ago
Jessica has a coupon for 20% off the original price of
jeka57 [31]

Answer: $95.20

Step-by-step explanation:

140 * .2 = 28

140 - 28 = 112

112 * .15 = 16.8

112 - 16.8 = 95.2

5 0
3 years ago
Read 2 more answers
Are there any supplementary, vertical, or complimentary angles? If so wich ones
marta [7]

<u>Supplementary:</u> N and M & N and I

Supplementary angles: A pair of angles whose sum is equal to 180°.

<u />

<u>Vertical:</u> M and I

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

<u>Complimentary:</u> None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

7 0
3 years ago
Solve (2^2x+1)-9(2^x)+4=0​
BartSMP [9]
  • Answer:

<em> x₁ = - 1</em>

<em> x₂ = 2</em>

  • Step-by-step explanation:

<em>2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0</em>

<em>2²ˣₓ2 - 9ₓ2ˣ + 4 = 0</em>

<em>2ˣ = n</em>

<em>2n² - 9n + 4 = 0</em>

<em>2n² - n - 8n + 4 = 0</em>

<em>n(2n - 1) - 4(2n - 1) = 0</em>

<em>(2n - 1)(n -4) = 0</em>

<em>2n - 1 = 0 => n₁ = 1/2</em>

<em>n - 4 = 0 => n₂ = 4</em>

<em />

<em>2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1</em>

<em>2ˣ = 4 => 2ˣ = 2² => x₂ = 2</em>

8 0
3 years ago
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