The total amount, a, in dollars, that Mitra earns is a = 14.6h, where h is the number of hours that she works. What is the const
2 answers:
Answer:
Find out the what is the constant of proportionality .
To prove
As given
The total amount, a, in dollars, that Mitra earns is a = 14.6h .
The total amount in dollars is represented by a.
the number of hours that Mitra works by h .
As the total amount is depand upon the working hours.
Thus
a = kh
Where k is the constant of proportionality .
Compare this with the equation a = kh with a = 14.6h .
k =14.6
Therefore 14.6 is the constant of proportionality .
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Find min
min is 1.5-0.2=1.3cm
max is 0.2+1.5=1.7cm
so it would be a graph from 1.3cm to 1.7cm
like below
min is 1.5-0.2=1.3cm
max is 0.2+1.5=1.7cm
so it would be a graph from 1.3cm to 1.7cm
like below
Answer:
The number of textbooks of each type were sold is <u>134 math </u>and <u>268 psychology </u>books.
Step-by-step explanation:
Given:
Total number of math and psychology textbooks sold in a week is 402.
Now, let the number of math textbooks sold be .
And, the number of psychology textbooks be .
According to question:
Dividing both sides by 3 we get:
So, total number of math textbooks were 134 .
And, total number of psychology textbooks were
.
Therefore, the number of textbooks of each type were sold is 134 math and 268 psychology books.
Answer:
The 98% confidence interval would be given by (0.326;0.354)
Step-by-step explanation:
1) Notation and definitions
number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
random sample taken
estimated proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
true population proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
2) Confidence interval
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 98% confidence interval would be given by (0.326;0.354)