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eduard
3 years ago
8

You are playing the slot machine. There are 3 wheels and each wheel has a picture of 7 different fruit (lemon, plum, apple, oran

ge, pear, cherry and a banana). When you pull down the level, what is the probability that at least 2 oranges will appear?
Mathematics
1 answer:
S_A_V [24]3 years ago
8 0
Here are the outcomes. You could also a tree diagram for this:

There are 49 outcomes for this problem. Therefore, 7/49 possible probability that 2 could be orange. To check if i'm correct, use a tree diagram or a compound principle.
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Given: g(x)=1/x+2 and h(x)=3x Check all restrictions on the domain of gOh.
Vlad [161]

The composite function (g \circle h)(x) works like this:

  • Take a number x as input
  • Evaluate h(x) = 3x. Let's call this output z.
  • Evaluate g(x) = 1/(z+2)

So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose

3x+2 \neq 0 \iff 3x \neq -2 \iff x \neq -\dfrac{2}{3}

3 0
3 years ago
Read 2 more answers
Can you help me im not that good at math and its a clear photo<br><br> y =___x^2+__x+______
geniusboy [140]
  • Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
  • (x + y)^2 = x^2 + 2xy + y^2
  • Standard Form: y = ax^2 + bx + c

So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

y=a(x-(-1))^2+7\\y=a(x+1)^2+7

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

5=a(0+1)^2+7\\5=a(1)^2+7\\5=a+7\\-2=a

Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>

However, we need to convert this into standard form still, and we can do it as such:

Firstly, solve the exponent: y = -2(x^2+2x+1) + 7

Next, foil -2(x^2+2x+1): y = -2x^2-4x-2+7

Next, combine like terms and <u>your final answer will be: y = -2x^2-4x+5</u>

3 0
3 years ago
Can someone answer this question please?
Mekhanik [1.2K]
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.

1. 
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2. 
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5

Total area of both trapezoids = (4.5+2.5) = 7

Exact area by integration:
integral of (5-x^2)dx   from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.

8 0
3 years ago
When using the vertical line test, if the vertical line hits the line in more than 1 place it is considered a function.
d1i1m1o1n [39]

Answer:

false

Step-by-step explanation:

If the vertical line hits more than 1 point it is not a function because the x value cannot repeat in order for it to be a function

4 0
2 years ago
Read 2 more answers
HIGH POINT REWARD
Yuki888 [10]
Total number of seniors = 55 + 70 = 125
Number of seniors who plan to go to college = 55

Percentage of seniors who plan to go to college = 55/125 x 100 = 44%

Answer: 44%
3 0
3 years ago
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