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Allushta [10]
2 years ago
15

HELP ME PLEASE!!!

Mathematics
1 answer:
Kobotan [32]2 years ago
8 0

Answer:

x=2 , y=1

Step-by-step explanation:

Since the second equation is fully simplified and we know what x equals, we plug the entire equation of x in for x in the top equation:

5(3y-1)+10y=20

Now solve for y.

y=1

Now plug y back into the bottom equation and solve for x.

x=3(1)-1

x=2

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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
PLEASE HELP ME ON THIS PLZZZZZ!!!!!
Bogdan [553]

Answer:

-2,-9

Step-by-step explanation:

im not 100 perent sure ifthis is right or not

6 0
3 years ago
Read 2 more answers
the 1996 population of San Diego, California, was estimated to be about 1,170,000. This was about 3/7 of the estimate for Chicag
Svetradugi [14.3K]
The estimated population for Chicago was 500,430
6 0
2 years ago
Eric works for salary of $3,500 per month. He has federal income withheld at the rate of 15%, Social Security tax at the rate of
mrs_skeptik [129]

Answer:

C. 2,589.25

Step-by-step explanation:

Salary=$3500

Less:

Federal income withheld

15% of $3500

=15/100×$3500

=$525

Social security tax of 6.2%

6.2% of $3500

=6.2/100 × $3500

=$217

Medicare tax of 1.45%

1.45% of $3500

1.45/100 × $3500

=$50.75

Health insurance premium=$48

Savings plan of 2%

2% of $3500

=2/100 × $3500

=$70

Total less:= $525 + $217 + $50.75 + $48 + $70

Eric's net pay =$3500 - $910.75

=$2,589.25

5 0
3 years ago
Math work<br> pls help<br> bleh
iris [78.8K]

Answer:

yes

Step-by-step explanation:

substitute 4 for g. 4x5= 20 and 20 is definitely less than or equal to 25

7 0
2 years ago
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