10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE

7. y = 2x² + 3 function not function ?

jeyben [28]

Answer:

Function

Step-by-step explanation:

5 0

3 years ago

A circle whose equation is (x-5)^2 + (y+1)^2=36 has a center,C and a radius, r, of

mamaluj [8]

Answer: The center is (5,-1) and radius is 6.

Step-by-step explanation: The equation: (x-h)^2+(y-k)^2=r^2 is really important. Since we have 36 equal r^2, square root it to get 6. And the center would be 5, because (x-5) but do the opposite operation, same for y+1.

3 0

3 years ago

Please answer this question with step by step working out, 50 points

steposvetlana [31]

Answer:

x = 30°, 90°, 150°

Step-by-step explanation:

Using the trigonometric identity

sin2x = 2sinxcosx

Given

sin2x- cosx = 0, then

2sinxcosx - cosx = 0 ← factor out cosx from each term

cosx(2sinx - 1) = 0

Equate each factor to zero and solve for x

cosx = 0 ⇒ x = 90°

2sinx - 1 = 0 ⇒ 2sinx = 1 ⇒ sinx = $\frac{1}{2}$ ⇒ x = 30° ← first quadrant

sinx > 0 in first/ second quadrant, thus

x = (180 - 30)° = 150° ← second quadrant

x = 30°, x = 90°, x = 150° for 0 ≤ x ≤ 180

5 0

3 years ago

The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections

alex41 [277]

The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881

<h3>How to determine the critical values corresponding to a 0.01 significance level?</h3>

The scatter plot of the election is added as an attachment

From the scatter plot, we have the following highlights

Number of paired observations, n = 8
Significance level = 0.01

Start by calculating the degrees of freedom (df) using

df =n - 2

Substitute the known values in the above equation

df = 8 - 2

Evaluate the difference

df = 6

Using the critical value table;

At a degree of freedom of 6 and significance level of 0.01, the critical value is

z = 0.834

From the list of given options, 0.834 is between -0.881 and 0.881

Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881

Read more about null hypothesis at

brainly.com/question/14016208

#SPJ1

6 0

2 years ago

The following six independent length measurements were made (in feet) for a line: 736.352, 736.363, 736.375, 736.324, 736.358, a

enot [183]

Answer:

a) $\bar X =\frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s= 0.0206$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma=0.0188$

Step-by-step explanation:

For this case we have the following dataset:

736.352, 736.363, 736.375, 736.324, 736.358, and 736.383

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s= 0.0206$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma=0.0188$

5 0

4 years ago