Answer: 1 and 3/70
Explanation: Find the least common denominator and then combine like terms. The LCM is 70.
Answer:
Hip breadths less than or equal to 16.1 in. includes 90% of the males.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 14.5
Standard Deviation, σ = 1.2
We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.10.
P(X > x)
Calculation the value from standard normal z table, we have,
Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.
That is hip breaths greater than 16.1 in. lies in the larger 10%.
Answer:
see explanation
Step-by-step explanation:
consecutive even integers have a difference of 2 between them
for example 2, 4, 6 are 3 consecutive even integers
In general if we let the first integer be k then the next 2 integers are
k + 2 and k + 4
the sum of these equals 4 times the first integer, that is 4k, hence
k + k + 2 + k + 4 = 4k
3k + 6 = 4k ( subtract 3k from both sides )
6 = k
the 3 consecutive integers are
k = 6
k + 2 = 6 + 2 = 8
k + 4 = 6 + 4 = 10
that is 6, 8 and 10
note that sum = 6 + 8 + 10 = 24
and 4 × 6 = 24
confirming the sum of the 3 integers equals 4 times the first integer
Answer:
P(more than 2 don't show up)=0.2031
Step-by-step explanation:
Multiplication rule for independent events:
If two events A and B are independent then the multiplication rule state that:
P(A and B)= P(A) x P(B)
Find the probability that more than two do not show up:
The probability that the reservations at the restaurant do not show up is 0.20 (=20%) and there were 8 reservations.
P(more than 2 don't show up)= 1- P(less than or equal to 2 don't show up)
= 1-( P(none show up) +P(one don't show up)+P(two don't show up)
=1- ((0.8⁸) +₈ C₁ (0.2¹)x(0.8⁷) +₈ C₂ (0.2²)x(0.8⁶)
=1- (0.1678 +0.3355+0.2936)= 1-0.7969
P(more than 2 don't show up)=0.2031
