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2 years ago

3n^2=6-17n I need Vertex form please.

Mathematics

1 answer:

nasty-shy [4]2 years ago

8 0

Answer:

3( n + $\frac{17}{6}$ )² - $\frac{361}{12}$ = 0

Step-by-step explanation:

3n² = 6 - 17n ⇔ 3n² + 17n - 6 = 0

3( n² + 2 × $\frac{17}{6}$ n + ( $\frac{17}{6}$ )² - ( $\frac{17}{6}$ )² - 2 ) = 0

3( n + $\frac{17}{6}$ )² - 3 × $\frac{289}{36}$ - 6 = 0

3( n + $\frac{17}{6}$ )² - $\frac{361}{12}$ = 0

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Will mark brainliest

VMariaS [17]

Answer:

Interquartile range => 7

Third quartile => 22

Range => 13

First quartile => 15

Step-by-step explanation:

Order your data set, from the least amount to the highest amount:

$12, $14, $15, $15, $15, $15, $16, $22, $24, $25

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

Q1 = the middle value of the lower part of the data set, from the median to your left.

Q3 = the middle value of the upper part of the data set, from the median to your right.

The median lies between the 5th and 6th value that is enclosed in the parenthesis below:

$12, $14, ($15), $15, $15,[Median], $15, $16, ($22), $24, $25

The median divides the data set into upper and lower part.

Median = $\frac{15 + 15}{2} = 15$

First quartile: Q1 = $15

Third quartile: Q3 = $22

IQR = $22 - $15 = $7

Range = highest amount - least amount = 25 - 12 = $13

3 0

3 years ago

If two marbles are randomly selected from the bag without replacement, what is the probability that the first marble is blue?

joja [24]

Answer:1,0.5, or 0 it depends

Explanation:

The probability that one event occurred depends on the total of random event, being 1 the most of the probabilities

If the two marbles are blue the probability to select a marble blue is 1

If one of the marbles is blue and the other marble is of any color the probability to select the blue marbles is:

P=1 - 1/2=1/2

Being 1/2 or 0.5 the answer

If any of the marbles are blue then the probabilities are 0

8 0

3 years ago

Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with

alina1380 [7]

Answer:

0.80589

Step-by-step explanation:

So all of the numbers of correct answers less than 4 are 0,1,2,3

We need to calculate the probability for each separately and then add them together.

To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.

The combination formula is: ! / (!(−)!)

So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.

For 0;

The combination is 1,

1 x 0.3^0 x 0.7^8-0 =

0.057648

For 1;

The combination is 8,

8 x 0.3^1 x 0.7^8-1 =

0.19765

For 2;

The combination is 28

28 x 0.3^2 x 0.7^8-2 =

0.296475

For 3;

The combination is 56

56 x 0.3^3 x 0.7^8-3 =

0.254122

All that’s left is to add these four numbers;

0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589

4 0

3 years ago

Find the value of the expression.<br> •(- 12<br> 1<br> 4

Serggg [28]

Answer:

try mat.h way it will help

Step-by-step explanation:

6 0

3 years ago

What is the definition of constant

Pie

Answer: If you mean the math definiton then a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

7 0

3 years ago