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3 years ago

11

In which type of investment do you lend your money to a government agency or a corporation for a fixed period of time and earn i

nterest?
a) bonds
b) stocks
c) mutual funds

1 answer:

sasho [114]3 years ago

4 0

Answer: a. Bonds

Step-by-step explanation:

Bond is a kind of money investment issued by private corporations or government banks.

Buying a bond is like issuing a loan to the issuer. The issuer will pay back the face value of the issued loan along with interest money. It is issued for a fixed period of time.

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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past

Minchanka [31]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : $H_0 : \mu \geq50000$

Alternative hypothesis : $H_a : \mu$

Since $H_a$ is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$s$ =sample standard deviation

For $n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800$ , we have

$z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23$

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0

3 years ago

Ramla has two full 1.5 litre bottles of water. She wants to fill as many glasses as possible with water from the bottles. Each g

DanielleElmas [232]

Answer:

8 glasses

Step-by-step explanation:

Total volume : 1500 ml

Glasses capacity : 180 ml

Glasses can be filled : 1500 / 180 = 8.33

Notice it says completely fill thus it is 8 glasses

6 0

4 years ago

Many elementary school students in a school district currently have ear infections. A random sample of children in two different

Marta_Voda [28]

Answer:

Step-by-step explanation:

The summary of the given data includes;

sample size for the first school $n_1$ = 42

sample size for the second school $n_2$ = 34

so 16 out of 42 i.e $x_1$ = 16 and 18 out of 34 i.e $x_2$ = 18 have ear infection.

the proportion of students with ear infection Is as follows:

$\hat p_1 = \dfrac{16}{42}$ = 0.38095

$\hat p_2 = \dfrac{18}{34}$ = 0.5294

Since this is a two tailed test , the null and the alternative hypothesis can be computed as :

$H_0 :p_1 -p_2 = 0 \\ \\ H_1 : p_1 - p_2 \neq 0$

level of significance ∝ = 0.05,

Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.

The test statistics for the difference in proportion can be achieved by using a pooled sample proportion.

$\bar p = \dfrac{x_1 +x_2}{n_1 +n_2}$

$\bar p = \dfrac{16 +18}{42 +34}$

$\bar p = \dfrac{34}{76}$

$\bar p = 0.447368$

$\bar p + \bar q = 1 \\ \\ \bar q = 1 -\bar p \\ \\\bar q = 1 - 0.447368 \\ \\\bar q = 0.552632$

The pooled standard error can be computed by using the formula:

$S.E = \sqrt{ \dfrac{ \bar p \bar q}{ n_1} + \dfrac{\bar p \bar p}{n_2} }$

$S.E = \sqrt{ \dfrac{ 0.447368 * 0.552632}{ 42} + \dfrac{ 0.447368 * 0.447368}{34} }$

$S.E = \sqrt{ \dfrac{ 0.2472298726}{ 42} + \dfrac{ 0.2001381274}{34} }$

$S.E = \sqrt{ 0.01177284105}$

$S.E = 0.1085$

The test statistics is ;

$z = \dfrac{\hat p_1 - \hat p_2}{S.E}$

$z = \dfrac{0.38095- 0.5294}{0.1085}$

$z = \dfrac{-0.14845}{0.1085}$

z = - 1.368

Decision Rule: Since the test statistics is greater than the rejection region - 1.96 , we fail to reject the null hypothesis.

Conclusion: There is insufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools

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3 years ago

Scorpion4ik [409]

3 + (2 + 8)^2 / 4 * (1/2)^4
3 + 10^2 / 4 * (1/2)^4
3 + 100/4 * (1/2)^4
3 + 25 * 1/16
3 + 25/16
48/16 + 25/16
73/16
4 9/16 <==

3 0

3 years ago

The volume is 120.9 in. What is the missing dimension (X)

Elina [12.6K]

Answer:

X = 2.5 in

Step-by-step explanation:

volume = L x W x H

120.9 = 9.3 x 5.2 x X

X = 2.5 in

5 0

3 years ago

Read 2 more answers