Answer:
16 km
Step-by-step explanation:
Given:
Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km
Distance from Washington to Oakdele = 6.2 km
Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele
Solution:
Distance from Washington to Stamford = 22.2 km
Distance from Washington to Oakdele = 6.2 km
The difference = 22.2 km - 6.2 km = 16 km
Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.
Answer:
a) P(X≥143)=0
b) This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
Step-by-step explanation:
If we use the normal approximation to the binomial distribution we have the following parameters (mean and standard deviation):

Then, we can calculate the probability of X being equal or more than 143 using the z-score:

This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
Complementary and supplementary.
Answer:
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Step-by-step explanation:

Divide both sides of the equation by 3

Write 7x as a difference

Factor out 3x from the expression

Factor out -4 from the expression

Factor out 2x + 5 from the expression

When the product of factors equals 0 , at least one factor is 0


Solve the equation for X

Move constant to R.H.S and change its sign

Calculate the difference

Divide both sides of the equation by 2

Calculate

Again,

Move constant to RHS and change its sign

Calculate the sum

divide both sides of the equation by 3

Calculate

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Answer:
In the last two overs, the bowler gave 14 runs.
Step-by-step explanation:
The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.
i.e.
Score given in first 8 overs = 4.5 × 8 = 36
Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.
so, subtract 36 from 50 to get the score he will be giving in the last two overs.
i.e. score given the last two overs = 50 - 36 = 14
Therefore, in the last two overs, the bowler gave 14 runs.