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barxatty [35]
2 years ago
5

April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs. What is t

he complement of April choosing five pop CDs? choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
 choosing five CDs where all of them are pop
Mathematics
2 answers:
padilas [110]2 years ago
7 0
The answer is B: <span>choosing five CDs where not all of them are pop</span>
SSSSS [86.1K]2 years ago
7 0

The <em><u>correct answer</u></em> is:

choosing five CDs where not all of them are pop

Explanation:

The complement of an event is the set of outcomes that are <em>not</em> the event in question.  In this case, the event is April choosing 5 CDs and all of them being pop.  The complement then, the set of outcomes that are <em>not</em> April choosing all 5 pop CDs, means at least 1 of them would not be pop.  This would be enough to make it the complement.

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The following chart shows a store?s records of coat sales over two years. 2 circle graphs. A circle graph titled 2006. Top coats
Mkey [24]

Answer:

<u>The correct answer is A. 16.5%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly and to calculate the trend:

                   2006      2007  Trend

Top Coats    297        223       -24.92%

Parkas          210        210         + 0%  

Jackets         213        285        +33.80%

Raincoats      137        259        +89.05

Trench coats 103       127         +23.30%

Total               960     1,104        +15%

2. If the trend shown in these graphs stays constant, what percent of the market will parkas occupy in 2008?

Let's calculate the percent of the market occupied by parkas.

In 2006 = 210/960 = 21.88%

In 2007 = 210/1,104 = 19.02%

In 2008 = 210/1,270 = 16.54% (210 + 0 = 210; 1,104 + 15% = 1,270)

<u>The correct answer is A. 16.5%</u>

7 0
2 years ago
Read 2 more answers
A research submarine descends 65 meters per minutes to a depth of 4485 m, conducts experiments, and then ascends at a rate of 65
sukhopar [10]

Answer:

Step-by-step explanation:

speed =65m/mins = 65/60 = 1.083m/s

Time taken to go down,

t = 4485/1.083

= 4141.37 s

Total time gotten = 12 hrs = 12*60*60

= 43200s

Amount of time left to conduct experiment

= 43200-4141.37

= 39058.63s

= 39058.63/3600

= 10.85 hrs

7 0
1 year ago
Read 2 more answers
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
lutik1710 [3]
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5

Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
4 0
1 year ago
Read 2 more answers
Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu
True [87]

Answer:

The fraction of the students who failed to went partying = \frac{1}{10}

Step-by-step explanation:

Let total number of students = 100

No. of students partied are twice the no. of students who not partied.

⇒ No. of students partied = 2 × the no. of students who are not partied

No. of students partied before the exam = 20 % of total students

⇒ No. of students partied before the exam = \frac{20}{100} × 100

⇒ No. of students partied before the exam =  20

No. of students who not partied before the exam = \frac{20}{2} = 10

Thus the fraction of the students who failed to went partying = \frac{10}{100} = \frac{1}{10}

8 0
2 years ago
Determine the input value for which the statement f(x) = g(x) is true. From the graph, the input value is approximately_______ .
Julli [10]

In this question , we have a graph given, and we have to find the x coordinate of the intersection point .

From the graph , the input value is approximately 3.3 .

In the graph,

f(x) =3

And for g(x), we need the slope and y intercept .

Slope is the ratio of rise and run .

Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .

So the equation of g(x) is

g(x) = \frac{3}{2}x -2

We need to do

f(x)= g(x)

Substituting the values of the two functions, we will get

3 = \frac{3}{2}x -2

Adding 2 to both sides

5 = \frac{3}{2}x

Cross multiplication

10 =3x&#10;\\&#10;x = \frac{10}{3}

x = 3.3

So the input value is 3.3 approx


6 0
1 year ago
Read 2 more answers
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