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kolbaska11 [484]
3 years ago
9

Six less than xI'm in 8th ​

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer

I found this. Does this help?

Step-by-step explanation:

If this is an inequality (6 is less than x, or 6 < x), then x is an integer or other value greater than 6.

The variable statement "6 less than x" is (x - 6)

This is a value (variable and constant) where the value of x is determined by an equation

such as x-6 = 4 (x is positive 2) or y = x-6 (y is 6 less than x).

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If f(x) = 3x2, what is the x-coordinate of the point of intersection of the graphs of y = f(x) and y = f(x − 4)?
Minchanka [31]

Step-by-step explanation:

When f(x) = f(x - 4), 3x² = 3(x - 4)².

=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.

The x-value is 2.

8 0
3 years ago
Write the improper fraction as a mixed number in simplest form. 11/2
pantera1 [17]

Answer:

5 and 1/2

Step-by-step explanation: 2 goes into 11 5 times without passing it. That one that is left over would be the numerator and 2 as the demonator.

5 0
3 years ago
g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a
galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0
3 years ago
What is the greatest common factor of 72, 54,and 18
padilas [110]

Answer:

18

Step-by-step explanation:

Factors of 54

1, 2, 3, 6, 9, 18, 27

Factors of 72

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

Factors of 18

1, 2, 3, 6, 9, 18.

Greatest Common Factor

We found the factors and prime factorization of 72, 54 and 18. The biggest common factor number is the GCF number.

So the greatest common factor 72, 54 and 18 is 18.

3 0
3 years ago
Read 2 more answers
Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)
Dafna1 [17]

Answer:

y = x - 2

Step-by-step explanation:

y + 4 = 1 (x + 2)

y + 4 = x + 2

y = x - 2

5 0
3 years ago
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