Answer:
Step-by-step explanation:
Join OB.
∠A=∠A (common)
∴ ΔAPO and ΔAOB are similar.
∠P=∠O
∠Q=∠B
So PQ║OB
Similarly RS║OB
∴PQ║RS
Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae kt to setup an e
2 answers:
Answer: Option B is correct
The expression to estimate the population of the country in 2005 is given by
Step-by-step explanation:
Since we have given that
In 1985, there was population of 145 millions.
Similarly,
In 1995, there was a population of 190 million .
Use the formula,
where A denotes the initial population and t denotes the number of years.
So, the expression becomes
∵ time period between 1985 to 2005 is 20 years.
So we take t=20 years.
So, the expression to estimate the population of the country in 2005 is given by
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The valid conclusions for the manager based on the considered test is given by: Option
<h3>When do we perform one sample z-test?</h3>One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
- Population mean =
= $150
- Population standard deviation =
= $30.20
- Sample mean =
= $160
- Sample size = n = 40 > 30
- Level of significance =
= 2.5% = 0.025
- We want to determine if the average customer spends more in his store than the national average.
Forming hypotheses:
- Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get:
- Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically
where is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:
The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
Learn more about one-sample z-test here:
QUESTION
Your equation is 2x+3y=2 and you need to find the slope.
EXPLANATION
There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.
Slope-intercept form is formatted like this:
y=mx+b
m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.
The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.
Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by , which means that is your answer.
Answer:
First computer takes x min. For 1 min it does 1/x part of work.
Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.
Both computers for one min do (1/x+1/(x+24)) part of work.
At the same time, both computers for one min do 1/9 part of work.
Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.
Both computers for one min do (1/x+1/(x+24)) part of work.
At the same time, both computers for one min do 1/9 part of work.