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Alina [70]
2 years ago
11

Find the probability:

Mathematics
1 answer:
V125BC [204]2 years ago
8 0

Answer:

There is a 2/6 chance

Step-by-step explanation:

Because there is only 6 possibilities on a die, under the conditions (even number or a number greater than 3), there are 4 possibilities. This makes a 4/6 chance which can be simplified to 2/6.

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Select the function that represents a parabola with zeros at x = –2 and x = 4, and y-intercept (0,–16). A ƒ(x) = x2 + 2x – 8 B ƒ
Ahat [919]

Answer:

D. f(x) = 2\cdot x^{2}-4\cdot x -16

Step-by-step explanation:

Any parabola is modelled by a second-order polynomial, whose standard form is:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c - Coefficients, dimensionless.

In addition, a system of three linear equations is constructed by using all known inputs:

(-2, 0)

4\cdot a -2\cdot b + c = 0 (Eq. 1)

(4, 0)

16\cdot a + 4\cdot b +c = 0 (Eq. 2)

(0,-16)

c = -16 (Eq. 3)

Then,

4\cdot a - 2\cdot b = 16 (Eq. 4)

16\cdot a + 4\cdot b = 16 (Eq. 5)

(Eq. 3 in Eqs. 1 - 2)

a - 0.5\cdot b = 4 By Eq. 4 (Eq. 4b)

a = 4 + 0.5\cdot b

Then,

16\cdot (4+0.5\cdot b) + 4\cdot b = 16 (Eq. 4b in Eq. 5)

64 + 12\cdot b = 16

12\cdot b = -48

b = -4

The remaining coeffcient is:

a = 4 + 0.5\cdot b

a = 4 + 0.5\cdot (-4)

a = 2

The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is f(x) = 2\cdot x^{2}-4\cdot x -16. Thus, the right answer is D.

6 0
3 years ago
If the average of x and y is 11 and the average of x, y and z is 5, what is the value of z? ​
mixer [17]

Answer:

z = -17

Step-by-step explanation:

If the average of x and y is 11, then;

x+y/2 = 11

x+y = 2 + 11

x+y = 22 .... 1

similarly, if average of x, y and z is 5, then;

x+y+z/3 = 5

x+y+z = 3*5

x+y+z = 15

Since x+y = 22

22 + z = 5

z  = 5 - 22

z = -17

Hence the value of z is -17

4 0
2 years ago
How many different ways can i select 2 of 6 candy bars?
Westkost [7]
You have 12 ways to select 2 of 6 candy bars. 

8 0
3 years ago
Which graph represents the piecewise-defined function?
Valentin [98]

Answer: The below figure shows the graph of f(x).

Explanation: Given function, f(x)=\begin{cases}5 & \text{ if } x6 \end{cases}

Since, here three conditions are given,

In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).

In second case, for values  -5\leq x\leq 6, f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point  (0,-2).

In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).

Thus, these three lines make the piecewise-defined function f(x).

7 0
3 years ago
Read 2 more answers
Find the circumference of the circle.
Vesna [10]
Assuming 13 is the radius the answer is 81.64cm
5 0
3 years ago
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