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Hunter-Best [27]

3 years ago

7

The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is select

ed at random. What is the probability of the complement of choosing an orange juice box?

1 answer:

Mandarinka [93]3 years ago

8 0

Answer:

5/9

Step-by-step explanation:

complement means not choosing an orange

P( not choosing orange) = (apple and fruit) / total

= (4+6) / (4+6+8)

=10/18

= 5/9

You might be interested in

Find the least common multiple for 6(x+1)^3(x-4)^2 and 10(x+1)^8(x-4)^5

dolphi86 [110]

Answer:

30 $(x+1)^8 (x-4)^5$

Step-by-step explanation

<h3> $6(x+1)^{3}(x-4))^{2}=2X3 X (x+1)^3(x-4)^2\\10(x+1)^8(x-4)^5)= 2X5X(x+1)^8 (x-4)^5\\$ </h3>

In order to find the Least common multiple we write each of the factor only once from each of the expression and for the common expression we take their LCM as maximum of the exponent in all expressions

as here in the question exponent of (x+1) are 3 and 8 so we take exponent 8

likewise for (x-4) we shall take maximum of 2 and 5 which is 5

so our expression for Least common multiple will be

2X3X5 X $(x+1)^8 (x-4)^5$

30 $(x+1)^8 (x-4)^5$

7 0

3 years ago

F(x)+g(x)=(x^2+10x+25)+(5-4x)

yKpoI14uk [10]

Just combine like terms: (f+g)(x)=x^2+6x+30

6 0

4 years ago

A group of 570 students were surveyed about the courses they were taking at their college with the following results:

garri49 [273]

Answer:

The number of students who took English and History, but not Math is 143.

Step-by-step explanation:

Denote the subject choices as follows:

<em>M</em> = a students was taking Math

<em>E</em> = a students was taking English

<em>H</em> = a students was taking History

The data provided is as follows:

N (M) = 257

N (E) = 282

N (H) = 323

n (M ∩ E) = 154

n (M ∩ H) = 171

n (E ∩ H) = 143

n (M ∩ E ∩ H) = 80

Consider the Venn diagram below.

From the provided data and the Venn diagram the value of the set E and H minus M is 143.

Thus, the number of students who took English and History, but not Math is 143.

7 0

3 years ago

What’s the volume of this

pav-90 [236]

Given:

The height of the cylinder = 12 in

The diameter of the base of the cylinder = 8 in.

To find:

The volume of the cylinder.

Solution:

The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,

$r=\dfrac{8}{2}$

$r=4$

So, the radius of the base of the cylinder is 4 in.

The height of the cylinder, h = 12 in.

Base area of the cylinder is:

$B=\pi r^2$

Where, B is the base area and r is the radius.

$B=\pi (4)^2$

$B=16\pi$

So, the base area is $16\pi$ square inches.

The volume of the cylinder is:

$V=\pi r^2h$

$V=Bh$

Where, r is radius, h is height, B is base area.

Putting $B=16\pi$ and $h=12$ , we get

$V=(16\pi )12$

$V=192\pi$

So, the volume is $192\pi$ cubic inches.

Therefore, $r=4\text{ in}, h=12\text{ in},B=16\pi \text{ in}^2,V=192\pi \text{ in}^3$ .

7 0

3 years ago

Suppose you are explaining to a friend who missed class how to solve equations. Explain, in complete sentences, the steps necess

pashok25 [27]

Answer:

First, take x off of both sides making it: “5 -4 = 3 + 10”

Then subtract 3, making it “3(-7) = 10”

Then do 3 multiply 3 by -7, getting -21 = 10

that is how you would find out the equation is false

6 0

3 years ago