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2 years ago

Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540

Mathematics

1 answer:

PIT_PIT [208]2 years ago

7 0

Answer: 45$

Step-by-step explanation:

Given

Principal $P=\$500$

Rate $R=6\%$

time $t=18\ \text{months or}\ 1.5\ \text{years}$

Simple interest is given by

$\Rightarrow S.I.=\dfrac{P\times R\times T}{100}$

In the question, time is taken in months which is incorrect

Putting values

$\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$$

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Joshua is going kayaking with a group during one of his vacation days. In his vacation planning, he budgeted $50 for a kayak ren

pochemuha

Answer: Divide Kayak budget by rental rate

Step-by-step Explanation:

As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.

He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.

<h2>Single Kayak</h2>

Budget available = $50

Rental rate = $15 per hour

Hours he can rent = 50/15

= 3.33 hours

<h2>Single Sea Kayak</h2>

Budget available = $50

Rental rate = $18 per hour

Hours he can rent = 50/18

= 2.78 hours

5 0

3 years ago

What<br> Are the answers please tell me

timofeeve [1]

1. 25
3. 29
5. 14
Hope this helps.

6 0

3 years ago

The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years

inn [45]

Answer:

b. The null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0$

c. Student's t distribution, as it is a two-sample test for the difference between means.

d. Test statistic t = 5.42.

P-value = 0

e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean life spans in the county is significantly different for whites and nonwhites.

Then, the null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0$

The significance level is 0.05.

The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.

The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.

The difference between sample means is Md=11.2.

$M_d=M_1-M_2=45.3-34.1=11.2$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12.7^2}{124}+\dfrac{15.6^2}{82}}\\\\\\s_{M_d}=\sqrt{1.301+2.968}=\sqrt{4.269}=2.066$

Then, we can calculate the t-statistic as:

$t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11.2-0}{2.066}=\dfrac{11.2}{2.066}=5.42$

The degrees of freedom for this test are:

df=n_1+n_2-2=124+82-2=204

This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=2\cdot P(t>5.42)=0.0000002$

As the P-value (0.0000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean life spans in the county is significantly different for whites and nonwhites.

4 0

3 years ago

PLEASE HELP

lutik1710 [3]

Neagative six plus r is less than or equal to negative three point five

5 0

3 years ago

5/6 divided by 1 and 1/2?

Tema [17]

Answer:

5/9

Step-by-step explanation:

(5/6)/1 1/2

5/9

Merry Christmas

6 0

3 years ago