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lozanna [386]
3 years ago
14

Someone Please help me answer this question.

Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

∠C is 148°.

Step-by-step explanation:

  • Step 1: Given ∠A = 16° and ∠B = (10x - 64)°. Also, AC = BC. Now, the angles opposite to equal sides of a triangle are equal. So ∠B = 16°
  • Step 2: Sum of angles of a triangle is 180°

⇒ 16° + 16° + ∠C = 180°

⇒ ∠C = 180 - 32 = 148°

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For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16. Calculate the following probabilities. (Leave
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Answer:

For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16.

Step-by-step explanation:

Here, P(x > 40) = 0.16

a). P(x < 40) = 1 - P(x > 40)

                   =  1 - 0.16

                    = 0.84

b). P(x < 20) = 1 - P(x\geq 20)

                    = 1 - {P(20 ≤ X ≤ 40) + P(X > 40)}

                    = 1 - (0.15 + 0.16 )  

                    = 1 - 0.31

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c). P(x = 40) = 0; The probability that a continuous variable assume a particular value is zero.

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3 years ago
Unit 3 | Lesson 9
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3 years ago
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Can someone do the work for me ?
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2 years ago
Find the first term and common difference of an AP, whose 7th term is 29/6 and 15th term is 11/2.​
777dan777 [17]

Answer:

The first term is 13/3 and the common difference is d = 1/12

The formula is a(n) = 13/3 + (1/12)(n - 1)        

Step-by-step explanation:

The general equation for an arithmetic progression is:

a(n) = a(1) + d(n - 1), where d is the common difference/

Case 1:  n = 7:  29/6 = a(1) + d(7 - 1), or 29/6 = a(1) + d(6)

Case 2:  n = 15:  11/2 = a(1) + d(15 - 1) =  a(1) + d(14)

Then our system of linear equations is:

a(1) + 6d = 29/6

a(1) + 14d = 11/2

Let's solve this by elimination by addition and subtraction.  Subtract the first equation from the second.  We get:

                                                             

Substituting 1/12 for d in the first equation, we get:

a(1) + 14(1/12) = 11/2 or 66/12 (using the LCD 12)

Then a(1) = 66/12 - 14/12 = 52/12 = 13/3

The first term is 13/3 and the common difference is d = 1/12

The arithmetic sequence formula for this problem is thus:

a(n) = 13/3 + (1/12)(n - 1)                                                                          8

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3 years ago
Max is determined the volume of the triangle pyramid below.
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Step-by-step explanation:

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