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3 years ago

7

A coin is tossed and a number cube labelled 1 to 6 is rolled. How many equally likely outcomes are there? PLZZZZ HELP MEEE!!!!!

AND EXPLAIN PLZ

1 answer:

Natalka [10]3 years ago

7 0

Twelve outcomes, six for each coin side.

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What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9

skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let $u^2=x^4\\u = x^2$

Subbing in:

$9u^2-2u-7=0$

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

$9u^2-9u+7u-7=0$

Group together in groups of 2:

$(9u^2-9u)+(7u-7)=0$

Now factor out what's common within each set of parenthesis:

$9u(u-1)+7(u-1)=0$

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

$(u-1)(9u+7)=0$

Remember that $u=x^2$

so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

$(x^2-1)(9x^2+7)=0$

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring $(x^2-1)$ gives us that x = 1 and -1. The other set is a bit more tricky. If

$9x^2+7=0$ then

$9x^2=-7$ and

$x^2=-\frac{7}{9}$

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:

$x=$ ± $\sqrt{-\frac{7}{9} }$

which will simplify down to

$x=$ ± $\frac{\sqrt{7} }{3}i$

Those are the 4 solutions to the quartic equation.

5 0

3 years ago

Mr. Smith's class has 28 students. They all put in an equal amount of money to get Mr. Smith an end of year gift. If they collec

ivann1987 [24]

Answer:

Step-by-step explanation:

28 students all give $128

so,

$\sqrt[28]{128}$ = v v=6

Each student gave 6 dollars. This is true due to the fact that

$\sqrt[28]{128}$ =6

28X6=128

3 0

2 years ago

Solve for x: (x − 2) = 4x. (1 point)

Georgia [21]

Steps:

(x-2)=4x

Pretend that there is a one in front of x-2

1(x-2)=4x

Multiply the bracket by 1

x-2=4x

Move x to the other side .Whenever you move a number or letter the sign changes.

x-x-2=4x-x

-2=3x

Divide by 3 for -2 and 3

-2/3=3/3 x

x=-2/3

Check answer by using substitution method

(-2/3-2)=4(-2/3)

(-2/3-6/3)=-8/3

-8/3=-8/3

Answer is -2/3

3 0

2 years ago

On a multiple-choice test, a student has four possible choices for each question. The student receives 1 point for a correct ans

alexgriva [62]

Answer:

1 / 16

Step-by-step explanation:

Number of options = 4

Number of correct answers = 1

Number points gained for a correct answer = 1

Number of points lost for an incorrect answer = 1/4 = 0.25

Probability of choosing a correct option = 1/4

Probability of choosing an incorrect option = 3/4

x ____ 1 ______ - 1/4

P(x) __ 1/4 ______ 3/4

Expected gain or loss :

E(x) = Σx*p(x)

E(x) = (1 * 1/4) + (-1/4 * 3/4)

E(x) = 1/4 - 3/16

E(x) = (4 - 3) / 16

E(x) = 1 /16

A gain of 1/16

5 0

2 years ago

PLEASE ANSWER WILL VOTE BRAINLIEST!!!!!

Vika [28.1K]

Question 11: A. Carbon dioxide is used and oxygen is produced.
Question 12: C. A light year.
Question 13: B. Inner core
Question 14: B could be Jupiter and C could be the moon.
Question 15: B Apparent Magnitude.

I hope these are right and if not feel free to delete this. Hope this helped and that it wasn't too late.

3 0

2 years ago