If x is -3 and y is 2 what is x ^ 2 + y ^ 2

The number of words defined on pages randomly selected from a dictionary are given below. Find the range and standard deviation

faltersainse [42]

Answer: The range of the set of numbers is 46 and the standard deviation is 14.44 .

Explanation:

In is given that the observations are 65, 59, 43, 43, 40, 63, 71, 77, 31, 64.

From given data it is noticed that the highest observation is 77 and the lowest observation is 31.

Range = Highest observation - Lowest observation

Range = 77 - 31 = 46

To find the standard deviation, first we have to find the mean.

$\text{Mean}={\frac{\text{Sum of observation}}{\text{Total number of observations}}$

Total of the observations is 556 and number of observation is 10.

$\text{Mean}=\frac{556}{10}=55.6$

Formula fr standard deviation is,

$\sigma =\sqrt{\frac{\sum (x-mean)^2}{n}}$

To find the above values form a table as shown below.

$\sigma =\sqrt{\frac{2086.4}{10}}$

$\sigma =\sqrt{208.64}$

$\sigma =14.44$

Therefore, the range of the set of numbers is 46 and the standard deviation is 14.44 .

7 0

3 years ago

Conti. 7-10 thanks a lot! unhelpful answers will be deleted.

Marysya12 [62]

Answers:

10. b. $\displaystyle 13$

9. b. $\displaystyle 20$

8. a. $\displaystyle 33$

7. a. $\displaystyle 25°$

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

$\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}$

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$

I am joyous to assist you at any time.

3 0

2 years ago

What is the answer for this question?

Savatey [412]

Answer:

A

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

I don't understand what to do. can u please answer these questions

MariettaO [177]

I believe you will need to find what -0.125 of an inch is, subtract that from 16, then divide that into 11.

6 0

3 years ago

A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th

finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

$\mathbf{H_o:}$ the population correlation coefficient is equal to zero

$\mathbf{H_a:}$ the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

$t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }$

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

$t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }$

$t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }$

$t =\dfrac{0.60 *4.796} {0.8}$

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

6 0

3 years ago

If x is -3 and y is 2 what is x ^ 2 + y ^ 2 ​

If x is -3 and y is 2 what is x ^ 2 + y ^ 2