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2 years ago

6

A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat

three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?

1 answer:

Marina CMI [18]2 years ago

6 0

Answer:

it the first choice you ate three chocolate independently

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40 is what percent of 150

MariettaO [177]

Always use this formula to find a percentage:

<span>% / 100 = Part / Whole</span> replace the given values:

40 / 100 = Part / 150

Cross multiply:

40 x 150 = 100 x Part, or

6000 = 100 x Part

Now, divide by 100 and get the answer:

Part = 6000 / 100 = <span>60</span>

6 0

3 years ago

Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). -5 with multiplicity 3 5 with multiplicity 3 -9

faust18 [17]

Answer:

-5, multiplicity 3; +9, multiplicity 2; -1

Step-by-step explanation:

The roots of f(x) are those values of x that make the factors be zero. For a factor of x-a, the root is x=a, because a-a=0. If the factor appears n times, then the root has multiplicity n.

f(x) = (x+5)^3(x-9)^2(x+1) has roots ...

-5 with multiplicity 3
+9 with multiplicity 2
-1

4 0

2 years ago

What is the axis of symmetry of the function f(x)= -(x+9)(x-21)

Vinil7 [7]

Answer:

The axis of symmetry is x = 6

Step-by-step explanation:

To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.

x + 9 = 0

x = -9

x - 21 = 0

x = 21

Now take the average of these two numbers.

(-9 + 21)/2

12/2

6

6 0

2 years ago

Sarah runs a day camp in the summer and needs to buy paper towels and soap for the restrooms. She spends $129 on t cases of pape

Cloud [144]

Let x be the number of cases of paper towels and y be the number of cases of soap. The system of linear equation that would best represent the given is,
x + y = 10
12x + 15y = 129
The values of x and y are 7 and 3.

Sarah both 7 cases of paper towel.

It is not possible for Sarah to buy exactly 20 bottles because first of all the cases contains only 12 bottles and 20 is not divisible by 12.

3 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

2 years ago

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