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enot [183]
3 years ago
8

The points L(10,9) M(10,-5) N(-1,-5) and O(-1,9)  form rectangle L M N O Which point is halfway between O and N.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

  C.)  (-1, 2)

Step-by-step explanation:

You can plot the points on a graph, or you can just find the midpoint:

  midpoint = (O + N)/2 = ((-1, 9) +(-1, -5))/2 = (-1-1, 9-5)/2 = (-2, 4)/2

  midpoint = (-1, 2)

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Slope is 0 and (3,2) is on the line
USPshnik [31]

Answer:

y = 2

Step-by-step explanation:

if slope is 0 y stays the same and y is 2 on the point

7 0
3 years ago
The area of a circle is 78.5 cm² . Find the lenght of the radius of a circle . Use π = 3.14
Tpy6a [65]

Answer:

5cm  = r

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

78.5 = 3.14 r^2

Divide each side by 3.14

78.5/ 3.14 = r^2

25 = r^2

Take the square root of each side

sqrt(25) = sqrt(r^2)

5 = r

6 0
3 years ago
Read 2 more answers
Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry
almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

8 0
3 years ago
Let X denote the time from the present until the stock market hits 25,000. If X ≤ 1, you win $10, 000X. If X > 1, you win not
const2013 [10]

Answer: $6321

Step-by-step explanation:

Expected value is given as exactly what you might think it means intuitively, the return you can expect for some type of action.

The basic expected value formula is the probability of an event multiplied by the amount of times the event happens:(P(x) * n).

he formula for the Expected Value for a binomial random variable is:

P(x) * X.

X is the number of trials and P(x) is the probability of success.

The formula for calculating the Expected Value where there are multiple probabilities is:

E(X) = ∑X * P(X)

The equation is basically the same, but here you are adding the sum of all the gains multiplied by their individual probabilities instead of just one probability.

Calculating the expected value of winning as follows:

Given,

Fx= e^-x, x is greater or equal to 0

Now, P less than or equal to zero =

[-e^-x] ^1

e^-0 - e^-1

= 1 - e^-1

= 0.6321

and P(x>1) = 1-0.6321= 0.3679

Therefore,Let y= amount of winnings.

Based on the above given information,

y= $10000 0

P(y)= 0.6321 0.3679

The expected value of winning:

E(y) = ΣyP(y)

E(y) = 10000 × 0.6321 + 0 × 0.3679

E(y) = $6321

Therefore, the expected value of winning is $6321

5 0
3 years ago
Help me<br><br> g + 3 + 4(9 + 2) =
GrogVix [38]

Answer:

g+3 +36+8=

g+39+8=

g+47

You can't find an answer but this is how you would simplify it :)

Step-by-step explanation:

4 0
3 years ago
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