All categories

4 years ago

Is anybody better at this then I am ?

Mathematics

1 answer:

lbvjy [14]4 years ago

8 0

Answer:

hmmm

Step-by-step explanation:

You might be interested in

What calculation can be used to find the value of p in the equation p^3 =8

blsea [12.9K]

Cube Root

${p}^{3} = 8 \\ p = \sqrt[3]{8} \\ p = \sqrt[3]{ 2\times 2 \times 2} \\ p = 2$

Formula

${p}^{3} - 8 = 0$

Use the following formula.

${x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )$

$(p - 2)( {p}^{2} + 2p + 4)$

The expression p²+2p+4 has the discriminant less than 0 ( D < 0 ).

Thus, remove the expression and leave only p-2

$p - 2 = 0 \\ p = 2$

Substitution

The most obvious number that multiplies itself three times and equal 8 is 2.

Substitute p = 2

${p}^{3} = 8 \\ {2}^{3} = 8 \\ 2 \times 2 \times 2 = 8 \\ 8 = 8$

The equation is true, thus 2 is the answer.

6 0

3 years ago

How many triangles exist with the given angle measures ?

Nonamiya [84]

More than one unique triangle. All triangles are equal to 180, so a triangle with these measures CAN exist. It can also exist in multiple sizes.

6 0

4 years ago

Solve the system using substitution. {5x-y=5 5x-3y=15

labwork [276]

Answer:

x=0

y=-5

Step-by-step explanation:

see the pic for the steps

3 0

4 years ago

A certain game consist of rolling a single fair die and based off as a following numbers listed in the picture

Arte-miy333 [17]

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

$P(6)=\dfrac{1}{6}$

The probability of getting a 5 is:

$P(5)=\dfrac{1}{6}$

The probability of getting a 4 is:

$P(4)=\dfrac{1}{6}$

The probability of getting other numbers (1,2,3) is:

$P(\text{Otherwise})=\dfrac{3}{6}$

$P(\text{Otherwise})=\dfrac{1}{2}$

We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

$E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})$

$E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}$

$E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0$

$E(x)=\dfrac{10+7+4}{6}$

$E(x)=\dfrac{21}{6}$

$E(x)=3.5$

Therefore, the expected winnings for this game are $3.50.

7 0

3 years ago

Shayla is having a picnic and wants to buy enough hamburgers so that each guest can have one. If she is planning on having 52 gu

yKpoI14uk [10]

Answer:

6 ≤ x ≤ 7

Step-by-step explanation:

Dividing 52 by 8 gives you a decimal between 6 and 7. Since you can only but hamburgers in packages of 8, the inequality is 6 ≤ x ≤7 with x being the number of hamburger bags.

8 0

3 years ago