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Dovator [93]
4 years ago
6

Find the values of the variables in this kite.

Mathematics
1 answer:
zavuch27 [327]4 years ago
4 0

Answer:

x=7, y=16

Step-by-step explanation:

2x+5=x+12

2x=x+7

x=7

y-4=x+5

y-4=12

y=16

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What is the surface area of the prism below<br> 2.5 m<br> 2 m<br> 10 m<br> 1.5 m
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5 by 11

Step-by-step explanation:

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3 years ago
Solve the inequality graph the solution set and write it in interval notation x-6&lt;5(x+2)
ANEK [815]

Answer:

x>-4

Step-by-step explanation:

x-6>5x+10

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-4x<16

x<16/-4

x<-4

3 0
3 years ago
Hich of the following sets of numbers could be the lengths of the sides of a triangle?
d1i1m1o1n [39]
Each side of a triangle has to be shorter than the sum of the other 2. The only possible answer is b: 3,5,7   (7<5+3)
4 0
3 years ago
the cooks only have 23,572 blueberries for the pancake breakfast. If they plan on having about 837 people, about how many bluebe
Readme [11.4K]
The answer is 28.2 (or about 28). to find this, you do 23,572 / 837. 
3 0
3 years ago
The national vaccine information center estimates that 90% of americans have had chickenpox by the time they reach adulthood.50
timama [110]
Given:
 p = 90% = 0.9, the probability that an adult has had chickenpox by age 50.
Therefore,
q = 1 - p = 0.1, the probability that an adult has not had chickenpox by age 50.

Part (a)
Because there are only two answers: "Yes" or "No" to whether an adult has had chickenpox by age 50, the use of the binomial distribution is justified.

Part (b):
Calculate the probability that exactly 97 out of 100 sampled adults have had chickenpox.
The probability is
P₁ = ₁₀₀C₉₇ (0.9)⁹⁷ (0.1)³ = 0.0059

Answer: 0.006 or 0.6%

Part (c)
Calculate the probability that exactly 3 adults have not had chickenpox.
Theis probability is equal to 
P₂ = 1 - P₁ = 1 - 0.006 = 0.994

Answer: 0.994 or 99.4%

Part (d)
Calculate the probability that at least 1 out of 10 randomly selected adults have had chickenpox.
The probability is
P₃ = ₁₀C₀ (0.9)⁰ (0.1)¹⁰ + ₁₀C₁ (0.9)¹ (0.1)⁹ = 10⁻¹⁰ + 10⁻⁹ = 10⁻⁹ ≈ 0

Answer: 0

Part (e)
Calculate the probability that at most 3 out of 10 randomly selected adults have not had chickenpox.
The probability is
P₄ = 1 - [₁₀C₀ (0.9)⁰(0.1)¹⁰ + ₁₀C₁ (0.9)¹(0.1)⁹ + ₁₀C₂ (0.9)²(0.1)⁸ + ₁₀C₃ (0.9)³(0.1)⁷]
     = 1 - (10⁻¹⁰ + 9 x 10⁻⁹ + 3.645 x 10⁻⁷ + 8.748 x 10⁻⁶)
     = 1

Answer:  1.0 or 100%

5 0
3 years ago
Read 2 more answers
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