Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
Answer:
Step-by-step explanation:
First find the surface area of the clyinder and find the area circles and subtract
Then find the surface area of a cone, remove the circle area and double it.
Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741
251.32741 - 50.2 - 50.2
Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734
113.09734 - 50.2 - 50.2
Total: 12.69734 + 150.92741 = 163.62475
<h2>
Answer with explanation:</h2>
Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.
Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.
Set hypothesis to test :
Sample size : n= 1055
Sample proportion : 
Critical value for 95% confidence : 
Confidence interval : 
Since , Confidence interval does not contain 0.39.
It means we reject the null hypothesis.
We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.
Answer:
C
Step-by-step explanation:
Area of a circle is calculated by squaring the radius then multiplying by pi. Eight squared is sixty-four, then multiplied by pi you get 201.
Answer:
7
Step-by-step explanation:
The standard form of a quadratic equation is
y = ax² + bx + c where a ≠ 1
c is the number without a variable
