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3 years ago

10

Zack flips a coin and rolls a number cube with sides labeled 1 to 6. What is the probability that he gets heads and a number gre

ater than 4?

1 answer:

mixas84 [53]3 years ago

7 0

Probabilty he gets heads= I thing it is 1/2
Probabilty he gets a number greater than 4= For sure it's 2/6

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Question 2 (1 point)

konstantin123 [22]

He does 60 push ups

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2 years ago

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8x^3y^2______+3xy^2-4y^3

user100 [1]

Answer:

what is the equation clearly mention it first u r giving that power 8x is 3y and then u r telling the power 3y only wah what a question plz mention ur question properly

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3 years ago

You plan to accumulate 100,000 at the end of 42 years by making the follow-

Mariana [72]

Answer:

Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

Ax = (24.129022X)(1.07^28) = 160.429967X

__

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

__

Now we can write the two equations in the two unknowns:

Ax +Ay = 100,000

X - Y = 100

From the latter, we have ...

X = Y +100

So the first equation becomes ...

160.429967(Y +100) +14.783599Y = 100000

175.213566Y +16,043.00 = 100,000

Y = (100,000 -16,043)/175.213566 ≈ 479.17

Y is 479.17

7 0

2 years ago

Solve X^4=4^X assist by solving for value of x

Anton [14]

Answer:

x ∈ {−0.766664695962, 2, 4}

Step-by-step explanation:

The equation is a combination of polynomial and exponential functions. There are no algebraic methods for solving such an equation. Graphical and iterative methods work nicely, though.

The attached graph shows integer solutions at x=2 and x=4. There is also an irrational negative solution near x = −0.766664695962. The latter was found by using Newton's method iteration on the graphical value of -0.767.

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2 years ago

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What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are adde

leonid [27]

The key features of a quadratic graph that can identified are; x and y intercepts, axis of symmetry and vertex

<h3>Keys features of a quadratic graph</h3>

The key features are the x-intercepts, y-intercepts, axis of symmetry, and the vertex.

If we add units we can move this function upwards, downwards leftwards and rightwards.

If we add a positive number to the x-variable, then the graph will move to the left.

If we add a negative number to the x-variable, then the graph will move to the right.

If we add a positive number to y-variable, then the graph will move upwards.

If we add a negative number to y-variable, then the graph will move downwards.

Hence, if we compare the rules we use before with linear function, there's no distinction between horizontal and vertical movements, because if we add to x-variable, then y-variable will be also affected.

Learn more about quadratic graphs here:

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2 years ago