Help with number 22. Image above.

Can someone help me please, explain in your own words. I'll give brainliest to the best and correct answer. Thank you (:

Elanso [62]

A) To factor a quadratic equation, standard form is the better form to use because it is easier to pull out a common factor from.

b) To graph a parabola, it is better to use vertex form so that you will know what point to graph as the vertex of the parabola.

c) To identify the vertex, maximum and minimum, it is better to use vertex form because the vertex form will give the values of the coordinates for the vertex. Then, you can use the equation to find the mininmum or maximum. If the graph is negative, it will have a maximum because it points downward infinitely. If the equation is positive, the graph will have a minimum because the graph points upward infinitely.

d) Standard form is easier to use when trying to solve using the quadratic formula because it is easier to see what the coeffiecnts and constants are to plug in for a b and c.

6 0

2 years ago

What is the standard deviation of this data set? Use a calculator to help you.

ale4655 [162]

Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

X X - $Xbar$ $(X-Xbar)^{2}$

20 20 - 46 = -26 676

23 23 - 46 = - 23 529

32 32 - 46 = -14 196

36 36 - 46 = -10 100

41 41 - 46 = -5 25

43 43 - 46 = -3 9

44 44 - 46 = -2 4

45 45 - 46 = -1 1

47 47 - 46 = 1 1

54 54 - 46 = 8 64

55 55 - 46 = 9 81

59 59 - 46 = 13 169

61 61 - 46 = 15 225

63 63 - 46 = 17 289

66 66 - 46 = 20 <u> 400 </u>

$\sum(X-Xbar)^{2}$ <u>= 2769 </u>

Firstly we will calculate Mean, $Xbar$ = $\frac{\sum X}{n}$

$Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15}$ = 45.93 ≈ 46

Now, Standard deviation formula is given by;

s = $\sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}}$ = $\sqrt{\frac{ 2769}{15-1}}$ = 14.064 .

7 0

3 years ago

An ordinary Fair die is a cube with the numbers 1 through 6 on the sides represented by painted spots imagine that such a die is

Hoochie [10]

Answer: Probability of, Event A = 5/18

Event B = 1/2

Step-by-step explanation:

Since, The probability of an event = Number of outcomes of the event/ total number of outcomes.

Since, If a fair dire rolled two times then the total number of outcomes, n(S) = 6 × 6 = 36

And, Event A: The sum is greater than 8.

So, possible outcomes are, ( 3,6), (4,5), (4,6), (5,5), (5,6), (5,4), (6,6), (6,5), (6,4), (6,3)

Thus, n(A) = 10

Since, Probability of event A,

P(A) = n(A)/n(S) = 10/36 = 5/18

Therefore, P(A)= 5/18

Now, Event B: The sum is an even number.

So, possible outcomes are, (1,1),(1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,6), (4,2), (4,4), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Thus, n(B)= 18

Since, Probability of event B,

P(B)= n(B)/n(S) = 18/36 = 1/2

Therefore, P(B)= 1/2

7 0

2 years ago

Write the equation of a line with a slope of 3 and a y-intercept of 1.

noname [10]

Take a look at the image below.