find an approximate equation of the line that has the given slope and contains the given point. m=2.9,(3,3-5.1)

Felix has $100 in an account that earns 5% interest compounded annually.

meriva

Answer:

$110.49

Step-by-step explanation:

100(1+0.05/12)^12(2)

The $100 increases by 5%, or 1.05, every year, and to find the interest after two years, we use the formula above. His value after the first year raises to $105, and then again by 5%, which is 110.49.

4 0

2 years ago

The line plot shows the amount of grass seed that a landscaper needs for each of her jobs. What is the total amount of grass see

Bond [772]

Answer:

$Total = 18\frac{1}{4}$

Step-by-step explanation:

Given

The attached line plot

Required

The total

To do this, we simply multiply each grass seed by the frequency (i.e. number of dots), then add up the results.

So, we have:

$Total = \frac{1}{4} * 2 + \frac{1}{2} * 3 + \frac{3}{4} * 1 + 1 * 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3$

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3$

Convert fractions to improper fraction

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} * 1 + \frac{3}{2} * 3 + \frac{7}{4} * 1 + 6$

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} + \frac{9}{2} + \frac{7}{4} + 6$

Add fractions

$Total = 18\frac{1}{4}$

<em>Hence, the total amount is: </em> $18\frac{1}{4}\b$ <em> pounds</em>

4 0

2 years ago

Please solve eedfefsre3dfve

Lubov Fominskaja [6]

It will be 6 cause it is going by 1+ 1,2,3,4,5,6 (if it was 1,3,6,9, it will be 12 cause it is going by 3+) so answer is 6

5 0

1 year ago

Read 2 more answers

A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years.

gizmo_the_mogwai [7]

Answer:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

$p_v =P(z>0.280)=0.390$

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=3.1$ represent the sample mean

$\sigma=\sqrt{6}$ represent the sample standard deviation for the sample

$n=47$ sample size

$\mu_o =3$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3$

Alternative hypothesis: $\mu > 3$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

P-value

Since is a one side test the p value would be:

$p_v =P(z>0.280)=0.390$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.

3 0

3 years ago

When are the absolute value and the opposite of a rational number equal

natulia [17]

|a| = -a if a < 0

The absolute value and the opposite of rational number is equal when a number is negative.

Examples:

|-7| = - (-7) = 7

|-0.5| = - (-0.5) = 0.5

8 0

3 years ago