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4 years ago

Look at the figure. Which pair of points is coplanar with points V and W?

Mathematics

2 answers:

Ann [662]4 years ago

6 0

Answer:

The pair of points which are coplanar with points V and W are:

R and S

Step-by-step explanation:

Two or more points are said to be coplanar if they all lie in the same plane.

Here by looking at the figure we observe that the points V and W along with R and S would lie in the plane labeled as VWSR.

( Also V and W are coplanar with U and X since we get a plane UVWX such that all the four points lie on that plane)

Hence, the answer is:

R and S

aleksley [76]4 years ago

4 0

The answer is r and s because it’s in the same plane.

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An expression is shown below. (3)(x What is the product of the two factors?

Reika [66]

Answer:

Step-by-step explanation:

3 . x is 3x

7 0

3 years ago

The mean consumption of water per household in a city was 1425 cubic feet per month. Due to a water shortage because of a drough

liberstina [14]

Answer:

a) $t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10$

The degrees of freedom are given by:

$df=n-1=100-1=99$

The p value for this case would be given by:

$p_v =P(t_{99}$

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

b) For this case we need to find a critical value in the t distribution with 99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

$t_{\alpha/2}=1.984$

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

Step-by-step explanation:

Information given

$\bar X=1175$ represent the sample mean for the cubic feets of households

$\sigma=250$ represent the population standard deviation

$n=100$ sample size

$\mu_o =1425$ represent the value to verify

$\alpha=0.025$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Part a

We want to test that the mean consumption of water per household has decreased due to the campaign by the city council, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1425$

Alternative hypothesis: $\mu < 1425$

Since we don't know the deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic is given by:

$t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10$

The degrees of freedom are given by:

$df=n-1=100-1=99$

The p value for this case would be given by:

$p_v =P(t_{99}$

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

Part b

For this case we need to find a critical value in the t distribution with 99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

$t_{\alpha/2}=1.984$

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

6 0

3 years ago

Write as a percent 3/7

Irina18 [472]

Answer:

Here is the answer:

42.857143%

Rounded would be:

42.9 or 42.3

Step-by-step explanation:

4 0

3 years ago