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pochemuha
3 years ago
12

Does anyone know the answer?

Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

1=163 degrees

2=×=10 degrees

3=×=3

Step-by-step explanation:

54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees

54x+9x+1-10=180

63x-9=180

63×=180+9

63×=189

63×÷63×=189÷63×

X=3

Angle in bold print is (54x+1)

54×3=162

162+1=163 degrees

No.2 Find x

7x+35+x+65 =180

7x+x+35×65=180

8x+100=180

8x=180-100

8x=80

8x÷8x=80÷8

X=10 degrees

No.3 Find x

54x+1+9x-10=180

54x+9x+1-10=180

63x-9=180

63x=180+9

63x=189

63x÷63x=189÷63

X=3

I hope I was of help

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Answer:

∑E(x_{i}) = 13.49167 floors

Step-by-step explanation:

The expected number of floors no one get off = ∑E(x_{i}) where i is from 0 to 23

and E(x_{i}) = ∑x_{i}P(x_{i})

here x_{i} is the indicator of floor where no one gets off, its value is 0 when  atleast one person get off on its floor and 1 when when no one gets off.

Now,

P(x_{i}=1) = (22/23)¹²

P(x_{i}=0) = [1-(22/23)¹²]

Now,

E(x_{i}) = ∑x_{i}P(x_{i}) = 0* [1-(22/23)¹²] + 1*(22/23)¹² =0.586594704

For total number of floors where no one gets off

∑E(x_{i}) = E(x₁)+E(x₂)+E(x₃)........................+E(x₂₃)

∑E(x_{i}) = 23*0.586594704

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3 years ago
Valerie deposits $1,900 in an account that
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Compound Interest Rate Formula: \displaystyle A = P(1 + \frac{r}{n})^{nt}

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Step-by-step explanation:

<u>Step 1: Identify Variables</u>

P = $1900

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<u>Step 2: Solve for </u><em><u>A</u></em>

  1. Substitute [CIRF]:                    \displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}
  2. (Parenthesis) Divide:              \displaystyle A = 1900(1 + 0.0075)^{4(6)}
  3. (Parenthesis) Add:                  \displaystyle A = 1900(1.0075)^{4(6)}
  4. (Exponents) Multiply:             \displaystyle A = 1900(1.0075)^{24}
  5. Exponents:                             \displaystyle A = 1900(1.19641)
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.........................

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