Jk=12 j lies at 4 where could k be located ?

I need help first person to answer right gets brainly

Dahasolnce [82]

Answer:

see explanation

Step-by-step explanation:

A cube has 6 congruent square faces

The area of 1 face = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$

Multiply by 6 to obtain surface area of cube

surface area = 6 × $\frac{4}{9}$ = $\frac{24}{9}$ = $\frac{8}{3}$ units²

6 0

3 years ago

John took out a loan for 18,550. To pay it back he will make 60 monthly payments of 389. How much will he pay in interest?

Debora [2.8K]

Answer:

He paid an of 4790

Step-by-step explanation:

If John took a loan of 18550

Then in 60 months, we will pay back 389 multiply by 60

389 × 60 = 23340

Therefore he paid an interest of 23340 minus 18550, that is

23340 - 18550 = 4790

3 0

3 years ago

At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening

pav-90 [236]

Answer:

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

$p_v =2*P(z>4)=0.0000633$

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation

$\bar X=23$ represent the sample mean

$\sigma=3.5$ represent the population standard deviation

$n=49$ sample size

$\mu_o =21$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z 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 average age of the evening students is significantly different from 21, the system of hypothesis would be:

Null hypothesis: $\mu = 21$

Alternative hypothesis: $\mu \neq 21$

The statistic is given by:

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

Calculate the statistic

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

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z>4)=0.0000633$

Conclusion

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

8 0

3 years ago

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 3 liters of

Olin [163]

Answer:

153 liters of Petrolyn oil

Step-by-step explanation:

This is a proportion to set this up you do the following:

Nat/Syn = Nat/Syn ; 5/3 = 255/Syn

Then you solve this equation by cross multiplication.

(255*3)/5 = Syn

153 = Synthetic(Petrolyn oil)

4 0

3 years ago

10. Are the points A (3, 5), B (0, 2), and C (-2.10) the vertices of a right triangle? Justify your

Sauron [17]

Answer:

yes

Step-by-step explanation:

line ab^2=(3-0)^2+(5-2)^2=9+9=18

line bc^2=((0-(-2))^2+(2-10)^2=4+64=68

line ca^2=((-2)-3)^2+(10-5)^2=25+25=50

bc>CA>ab

if it's a right triangle, then bc^2=ab^2+ca^2

68=50+18

so, it's a right triangle

5 0

2 years ago