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FrozenT [24]
3 years ago
14

N - 3/5 = 2/5 these two are fractions it says find the value of the variable plz help

Mathematics
1 answer:
lianna [129]3 years ago
4 0

Hello!

To solve this equation, you need to follow SADMEP. SADMEP is subtract, addition, division, multiplication, exponents, and parentheses (if you notice it is PEMDAS backwards) when solving algebraic equations. The goal is to get the variable by itself.

n - 3/5 = 2/5 (add 3/5 to both sides - the denominator of both fractions are equal)

n = 1

Therefore, the value of the variable n is equal to 1.

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Write the equation for a parabola whose vertex is (-6,-1) and passes through (-12,17).
Hitman42 [59]

Answer:

y=\frac{1}{2}(x+6)^2-1

Step-by-step explanation:

<u>Equation of the Quadratic Function</u>

The vertex form of the quadratic function has the following equation:

y=a(x-h)^2+k

Where (h, k) is the vertex of the parabola that graphically represents the function, and a is a coefficient different from zero.

The vertex of the required equation is located at (-6,-1)

The parabola passes through (-12,17)

Substituting the coordinates of the vertex, the equation of the function is:

y=a(x+6)^2-1

The value of a will be determined by using the given point:

17=a(-12+6)^2-1

Operating:

17=a(36)-1

36a=18\Rightarrow a=18/36=1/2

Solving:

a=1/2

The equation of the parabola is:

\boxed{y=\frac{1}{2}(x+6)^2-1}

7 0
3 years ago
Which ordered pair is a solution to the equation 3x-3y=21?
Lyrx [107]
The ordered pair to the solution is D.
3(5)-3(-2)=21
3 0
3 years ago
5(×+y+4) is equivalent to what
Novosadov [1.4K]

Answer: 5x+5y+20

Step-by-step explanation:

In this equation the variables with no coefficient represent one so x = 1x. Next multiply all numbers in parentheses by 5 to get your final expression.

7 0
3 years ago
Music lessons cost $20 per week how much do 6weeks of lessons cost
Mamont248 [21]

Answer:

120

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.
serious [3.7K]

Answer:

a) 0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

b) The expected number of at-bats until the next home run is 6.25.

Step-by-step explanation:

For each at bat, there are two possible outcomes. Either it is a home run, or it is not. The probability of an at bat resulting in a home run is independent of any other at-bat, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that Barry Bonds hits a home run on any given at-bat is 0.16

This means that p = 0.16

Part A: What is the probability that the next home run will be on his fifth at-bat?

0 on his next 4(P(X = 0) when n = 4)

Home run on his 5th at-bat, with 0.16 probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.16)^{0}.(0.84)^{4} = 0.49787136&#10;

0.49787136 *0.16 = 0.0797.

0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

Part B: What is the expected number of at-bats until the next home run?

The expected number of trials for n successes is given by:

E = \frac{n}{p}

In this question, n = 1, p = 0.16. So

E = \frac{1}{0.16} = 6.25

The expected number of at-bats until the next home run is 6.25.

6 0
2 years ago
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