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2 years ago

Find the value of x.

Mathematics

1 answer:

zepelin [54]2 years ago

8 0

Answer:

Step-by-step explanation:

Using the Z theorem, the upper angle on the right = 60 degrees.

The angle which includes 3x is 120 because this is a parallelogram and consecutive angles must add to 180. So 180 - 60 = 120

The angle above the 3x is 120 - 3x

120 - 3x + 90 + 2x = 180 These angles make a straight line line. Combine.

210 - x = 180 Subtract 210 from both sides.

- x = 180 - 210 Combine

-x = - 30 Multiply both sides by - 1

x = 30

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What is the best result for h?

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Answer: First option.

Step-by-step explanation:

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3 years ago

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3 years ago

Solve,justify and check: 3(7+5n)=6n+6(1+4n)

vlabodo [156]

Answer:

1=n

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

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Step 2- Multiply

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Step 3- Add common variables to simplify.

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Step 4- Subtract the smallest variable to both sides.

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3 years ago

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A certain type of digital camera comes in either a 3-megapixel version or a 4 megapixel version. A camera store has received a s

Morgarella [4.7K]

Answer:

a) Hyper-geometric distribution

b1) P(X=2) = 0.424

b2) P(X>2) = 0.152

C1) Mean of X = 1.67

C2) Standard Deviation of X = 0.65

Step-by-step explanation:

b1) P(X = 2) = (5C2 * 7C2)/(12C4) = (10 * 21)/(495) = 210/495

P(X=2) = 0.424

b2) P(X>2) = 1 - P(X≤2) = 1 - [P(X=0) + P(X=1) + P(X=2)]

P(X=0) = (7C4)/(12C4) = 35/495 = 0.071

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P(X>2) = 0.152

C1) Mean of X = nk/N

k = number of 3-megapixel cameras = 5

n = number of selected cameras = 4

N = Total number of cameras = 12

Mean of X = 5*4/12

Mean of X = 1.67

C2) Standard Deviation of X

Standard deviation of X=(nk/N*(1-k/N)*(N-n)/(N-1))1/2

Standard Deviation of X=(4*(5/20)*(1-5/12)*((12-4)/(12-1))^1/2 =0.65

Standard Deviation of X = 0.65

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3 years ago