What is the absoulute value of -6

Describe the error in the work shown.

gladu [14]

Your answer is option c. The final simplified form should have y to the 4th power instead of y cubed. I think so..

5 0

3 years ago

Find the indicated side of the right triangle x=

adell [148]

9514 1404 393

Answer:

x = 9
y = 9√2

Step-by-step explanation:

Side lengths in an isosceles right triangle have the reduced ratios ...

1 : 1 : √2

Yours have the ratios ...

9 : x : y

If you multiply the reduced ratios by 9, you can find the values of x and y.

9 : 9 : 9√2 = 9 : x : y

x = 9

y = 9√2

6 0

3 years ago

I need help with this problem! Thank you!

QveST [7]

Answer:

The amount of water in the reservoir at the beginning of second week

$w_{2} = 299.8800$

Step-by-step explanation:

Step(i):-

Given equation

w₀ = 300 and

$w_{n} = (0.9993) w _{n-1} + 0.15$

Put n =1

$w_{1} = (0.9993) w _{1-1} + 0.15$

$w_{1} = (0.9993) w _{0} + 0.15$

$w_{1} = (0.9993) X 300 + 0.15$

$w_{1} = 299.94$

Step(ii):-

Put n =2

$w_{2} = (0.9993) w _{2-1} + 0.15$

$w_{2} = (0.9993) w _{1} + 0.15$

$w_{2} = (0.9993) X (299.94) + 0.15$

$w_{2} = 299.8800$

Conclusion:-

The amount of water in the reservoir at the beginning of second week

$w_{2} = 299.8800$

3 0

3 years ago

A development economist is studying income growth in a rural area of a developing country. The last census of the population of

kykrilka [37]

Answer:

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.

Step-by-step explanation:

Data given and notation

$\bar X=433.75$ represent the mean height for the sample

$\sigma=\sqrt{2500}=50$ represent the population standard deviation for the sample

$n=100$ sample size

$\mu_o =425$ represent the value that we want to test

$\alpha=0.01$ 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 mean height actually is higher than the mean height for men in 1960, the system of hypothesis would be:

Null hypothesis: $\mu \leq 425$

Alternative hypothesis: $\mu > 425$

Since 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:

$z=\frac{433.75-425}{\frac{50}{\sqrt{100}}}=1.75$

P-value

Since is a one right tail test the p value would be:

$p_v =P(z>1.75)=1-P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.

3 0

3 years ago

On how many points do the graphic cross each other

Sati [7]

These 2 equations intersect at roughly 2 points, one being the origin (0,0) and the other being (1,1) so the answer would be 2.

3 0

3 years ago

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