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3 years ago

62 = 6g + 14 what is g?

Mathematics

2 answers:

frutty [35]3 years ago

5 0

6g+14=62
-14 -14

6g=48

6g/6=48/6

Answer is g=8

Hope it helped.

romanna [79]3 years ago

5 0

This exercise is asking you to find the value of g or solve for g, to do so you have to isolate or leave g alone by doing different mathematical operations according to the given equation.

The given equation is 62=6g+14, which is a two step equation meaning that in order to solve for g you have to perform two mathematical operations, in this case subtraction and division.

62=6g+14 Subtract 14 in both sides
48=6g Divide by 6 in both sides to isolate g
8=g

The value of "g" in the equation is 8.

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In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters a

Radda [10]

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution 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.

It is believed that 11% of voters are Independent.

This means that $p = 0.11$

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that $n = 33$

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

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

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

$P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872$

$P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724$

$P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202$

$P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041$

$P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516$

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

$P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872$

$P(X < 2) = 0.0214 + 0.0872 = 0.1086$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914$

0.8914 = 89.14% probability that more than 2 people are Independent.

8 0

2 years ago

Find the distance between -6 and 8

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

6+8=14

8 0

3 years ago

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Which option is an even function?

Grace [21]

The correct answer is option D. Which is the even function is f (x) = x⁴.

<h3>What is an even function?</h3>

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)

B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)

C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)

D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

To know more about even functions follow

brainly.com/question/2284364

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4 0

2 years ago

I need help with this problem! Please Help<br> t=-2.74 + sqrt(2.74^(2)-4*-4.9*(-10)) -: 2*-4.9

Ulleksa [173]

Answer:

Step-by-step explanation:

t=(-2.74 + sqrt(2.74^(2)-4*-4.9*(-10))) / -2*-4.9

t=(-2.74 + sqrt(7.5076-4*+49))/9.8

t=(-2.74 + sqrt(7.5076+45))/9.8

t=(-2.74 + sqrt(52.5076))/9.8

t=(-2.74/9.8)+(sqrt(52.5076))/9.8

this is simplest form, next will be rounded answers

t=0.45981763305

3 0

3 years ago

Read 2 more answers

What does simplify the expression mean in algebra?

Pavel [41]

Reduce the number of terms in the expression by operating on like terms
for example
Simplify
x^2 - 3x + 4 + x^2 + 6x - 6

the like terms are the x^2 and x^2 , -3x and 6x and 4 and -6

so we have
x^2 + x^2 - 3x + 6x + 4 - 6
= 2x^2 + 3x - 2

This is the simplified form of the original expression

5 0

3 years ago

Read 2 more answers