1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mnenie [13.5K]
3 years ago
12

="TexFormula1" title="x {}^{2} - 2ax + 2(a {}^{2} - 6) = 0" alt="x {}^{2} - 2ax + 2(a {}^{2} - 6) = 0" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
pentagon [3]3 years ago
5 0

answer

- {4a}^{2}  + 48

You might be interested in
i am begging for help. all of my points for the first to answer. The volume of a sphere is 3/4 x pi cm^3. what is the radios of
horsena [70]

volume of a sphere = 4/3 *pi * r^3

3/4 * pi = 4/3 *pi * r^3

divide each side by pi

3/4 = 4/3 * r^3

multiply each side by 3/4

3/4 * 3/4 = r^3

9/16 = r^3

take the cube root of each side

r = (9/16) ^ (1/3)

3 0
3 years ago
A bag contains two six-sided dice: one red, one green. The red die has faces numbered 1, 2, 3, 4, 5, and 6. The green die has fa
gayaneshka [121]

Answer:

the probability the die chosen was green is 0.9

Step-by-step explanation:

Given that:

A bag contains two six-sided dice: one red, one green.

The red die has faces numbered 1, 2, 3, 4, 5, and 6.

The green die has faces numbered 1, 2, 3, 4, 4, and 4.

From above, the probability of obtaining 4 in a single throw of a fair die is:

P (4  | red dice) = \dfrac{1}{6}

P (4 | green dice) = \dfrac{3}{6} =\dfrac{1}{2}

A die is selected at random and rolled four times.

As the die is selected randomly; the probability of the first die must be equal to the probability of the second die = \dfrac{1}{2}

The probability of two 1's and two 4's in the first dice can be calculated as:

= \begin {pmatrix}  \left \begin{array}{c}4\\2\\ \end{array} \right  \end {pmatrix} \times  \begin {pmatrix} \dfrac{1}{6}  \end {pmatrix}  ^4

= \dfrac{4!}{2!(4-2)!} ( \dfrac{1}{6})^4

= \dfrac{4!}{2!(2)!} \times ( \dfrac{1}{6})^4

= 6 \times ( \dfrac{1}{6})^4

= (\dfrac{1}{6})^3

= \dfrac{1}{216}

The probability of two 1's and two 4's in the second  dice can be calculated as:

= \begin {pmatrix}  \left \begin{array}{c}4\\2\\ \end{array} \right  \end {pmatrix} \times  \begin {pmatrix} \dfrac{1}{6}  \end {pmatrix}  ^2  \times  \begin {pmatrix} \dfrac{3}{6}  \end {pmatrix}  ^2

= \dfrac{4!}{2!(2)!} \times ( \dfrac{1}{6})^2 \times  ( \dfrac{3}{6})^2

= 6 \times ( \dfrac{1}{6})^2 \times  ( \dfrac{3}{6})^2

= ( \dfrac{1}{6}) \times  ( \dfrac{3}{6})^2

= \dfrac{9}{216}

∴

The probability of two 1's and two 4's in both dies = P( two 1s and two 4s | first dice ) P( first dice ) + P( two 1s and two 4s | second dice ) P( second dice )

The probability of two 1's and two 4's in both die = \dfrac{1}{216} \times \dfrac{1}{2} + \dfrac{9}{216} \times \dfrac{1}{2}

The probability of two 1's and two 4's in both die = \dfrac{1}{432}  + \dfrac{1}{48}

The probability of two 1's and two 4's in both die = \dfrac{5}{216}

By applying  Bayes Theorem; the probability that the die was green can be calculated as:

P(second die (green) | two 1's and two 4's )  = The probability of two 1's and two 4's | second dice)P (second die) ÷ P(two 1's and two 4's in both die)

P(second die (green) | two 1's and two 4's )  = \dfrac{\dfrac{1}{2} \times \dfrac{9}{216}}{\dfrac{5}{216}}

P(second die (green) | two 1's and two 4's )  = \dfrac{0.5 \times 0.04166666667}{0.02314814815}

P(second die (green) | two 1's and two 4's )  = 0.9

Thus; the probability the die chosen was green is 0.9

8 0
3 years ago
8(3a+5)???? please help!!!!!! ASAP!!!!
r-ruslan [8.4K]

I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.

8 times 3a = 24a

8 times 5 = 40

So 8(3a+5) becomes 24a+40

We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.

3 0
2 years ago
Read 2 more answers
Tiffany buys a basket of watermelons on sale for \$9$9 before tax. The sales tax is 9\%9%. What is the total price Tiffany pays
meriva

Answer:  $9.81

Step-by-step explanation:

Here, Tiffany buys a basket of watermelons on sale for $9 before tax.

Therefore, Initial cost of a basket of watermelons =  $9

And, he sales tax is 9%.

Therefore tax on a basket of watermelons,

9% of 9 = \frac{9\times 9}{100} = 0.81

But, The total cost of a basket of watermelons = initial cost + tax

= 9+0.81=9.81

Therefore, Tiffany pays $9.81  for the basket of watermelons.



8 0
3 years ago
Read 2 more answers
The surface area of a balloon varies directly as the
Sati [7]

Answer:

25π sq. units.

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • What digit is in the tenths place 23.56
    13·2 answers
  • Can someone help me plz<br> (-5x^4y^2)^3
    15·1 answer
  • Last question of the day........<br> Was Orange a Color or A fruit First?
    11·2 answers
  • The two polygons are similar, solve for x
    12·1 answer
  • The pair pf polygons below are similar. give the scale factorbof figure a to figure b
    14·1 answer
  • The a question is attached below
    12·1 answer
  • Which points are the vertices of the ellipse?
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20q%5E%7B2%7D%2B7-%5Cfrac%7B1%7D%7B2%7D%20q%5E%7B2%7D" id="TexFormula1"
    10·2 answers
  • UV=TW. Find VX will give you brainliest if it’s correct
    15·1 answer
  • Please help me with 7 8 9 10 and 11
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!