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3 years ago

Hi there can anyone help me out with this because I'm really struggling with this

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

I = PRT/100
I = Simple Interest
P = Principal
R = Interest Rate per period
T = Time ( no. of periods )

Interest = (2500×9.5×3)/100 = 712.50

Answer : $2500 - $712.50 = $1787.50

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A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th

finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

$\mathbf{H_o:}$ the population correlation coefficient is equal to zero

$\mathbf{H_a:}$ the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

$t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }$

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

$t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }$

$t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }$

$t =\dfrac{0.60 *4.796} {0.8}$

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

6 0

3 years ago

A study of college graduates involves three variables: income level, job satisfaction, and one-way commute times to work. List s

Ket [755]

Answer:

(F). People may have a career following their passion, but have a low income or a long commute.

(A). A working spouse could affect all three variables. (C).People might be very satisfied with their career as long as the income is high.

(E). One-way commute times may be long because affordable housing is distant from the job.

Step-by-step explanation:

a. People may have a career following their passion, but have a low income or a long commute.

sometimes people can get jobs based on their passion but might still have low income and a long commute.

b. A working spouse could affect all three variables.

Yea a working spouse considers the income rate, job satisfaction and commute time involved in a job because it can affect their daily lives.

c. People might be very satisfied with their career as long as the income is high.

Most people are more satisfied with their career when the income rate is high.

d. One-way commute times may be long because affordable housing is distant from the job.

Income rate affects the choice of accommodation and housing.

5 0

3 years ago

Prove that the two circles shown below are similar.

Setler [38]

Answer:

The scale factor is $\frac{R_{A}}{R_{C}}=\frac{5}{2}$

We can say that both circles are similar.

Step-by-step explanation:

If we move the little circle to the center of the bigger circle, so the translate vector will be (3,5).

Now we realize that the bigger circle is just a dilation of the smaller circle, the scale factor is:

$R_{A}=5$

$R_{C}=2$

$\frac{R_{A}}{R_{C}}=\frac{5}{2}$

Therefore, we can say that both circles are similiar.

I hope it helps you!

8 0

3 years ago

How to write 1.44 as a decimal

ehidna [41]

It is in decimal form, can you give a little more feedback as to what you are applying?

4 0

3 years ago

Composite volcanoes are known for their beautiful, distinctive cone shape. A composite volcano called Mayon in the Philippines h

Grace [21]

Answer: $77.283km^{2}$

Step-by-step explanation:

The formula for the lateral area of a cone $L.A$ is:

$L.A=\pi r h$

Where:

$r=10km$ is the radius of the circular base of the cone

As we know its diameter $d=20km$ , its radius is $r=\frac{d}{2}=10km$

$h=2.46km$ is the height of the cone

$L.A=\pi (10km)(2.46km)$

$L.A=77.283km^{2}$ This is the lateral area of the volcano with the shape of a cone

7 0

3 years ago