How much does all the angles in a quadrilateral equal up to?
1 answer:
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Answer:
The chance of getting a sample proportion of 70% or greater is 0.026.
Step-by-step explanation:
We are given that a poll shows that 50% of students play sports .
A random sample of 20 students showed that 70% of them play sports.
Let = sample proportion of students who play sports
The z-score probability distribution for the sample proportion is given by;
Z = ~ N(0,1)
where, = sample proportion of students who play sports = 70%
p = population proportion of students who play sports = 50%
n = sample of students = 20
Now, the chance of getting a sample proportion of 70% or greater is given by = P(
70%)
P(
70%) = P(
) = P(Z
1.95) = 1 - P(Z < 1.95)
= 1 - 0.97441 = <u>0.026</u>
The above probability is calculated by looking at the value of x = 1.95 in the z-table which has an area of 0.97441.
Hence, the chance of getting a sample proportion of 70% or greater is 0.026.
Answer:
a) 4.5 inches
b) 2√5 is irrational
Step-by-step explanation:
It was given that the edge length of a cube-shaped box is 2√5 inches long.
To estimate the length of the edge to the nearest tenth of an inch, we change √5 to decimals to obtain:
When we round to the nearest tenth, we obtain 4.5
We cannot find its exact value because √5 is an irrational number.
The product of a rational and an irrational number is irrational.