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ikadub
1 month ago
14

A record collection consists of eight rock albums, twelve blues albums, and four classical albums. If two records are chosen ran

dom, find the probability that they are both blues? ...?
Mathematics
1 answer:
AnnZ [12.3K]1 month ago
3 0
Total albums:
8 + 12 + 4 = 24

The probability of selecting both blue albums equals the probability of picking the first blue multiplied by the probability of choosing the second blue
P(First blue) = 12/20
P(Second blue) = 11/19

P(Both blue) = 12/20 x 11/19
= 33/95
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Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air
lawyer [12517]
The addition of the numbers can be done in any sequence.Step-by-step explanation:When determining the total time Colin spent traveling from home to the hotel, the sequence in which the numbers are added does not matter, since time is a scalar quantity that cannot be negative.A scalar quantity possesses only magnitude, without regard to direction. For instance, while temperature can be either positive or negative, time can only be positive, affirming its status as a scalar quantity.
6 0
2 months ago
Read 2 more answers
Mrs. Hernandez bought 18 pens for her class. Highlighters cost $3 each, and gel pens cost$2.50 each. She spent a total of $50. W
AnnZ [12381]
18*2.50=45
50-45=5
Highlighters are priced at $3, which means she bought only one highlighter.
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8 0
1 month ago
The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression
Zina [12379]

Response: 8n

==========================================================

Clarification:

The two sides, 4n+5 and 5n+6, comprise terms 4n and 5n which total to 9n. We require 8n to add to this to achieve 17n. In simpler terms, 4n + 5n + 8n = 9n + 8n = 17n

That is the reason why the outcome is 8n. There are no additional terms because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) sum to 5+6 = 11, matching what we aim for in the perimeter expression 17n + 11

Side 1 = 4n + 5

Side 2 = 5n + 6

Side 3 = 8n

Perimeter = (side1) + (side2) + (side3)

Perimeter = (4n + 5) + (5n + 6) + (8n)

Perimeter = 4n + 5 + 5n + 6 + 8n

Perimeter = (4n + 5n + 8n) + (5 + 6)

Perimeter = 17n + 11

So this confirms we possess the correct expression for the third side that is missing.

3 0
1 month ago
Read 2 more answers
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the
PIT_PIT [12445]

The sine function that corresponds to the scenario is y = 6sin((π / 10) x) - 10.

Step-by-step explanation:

The general equation for a sine function is Asin(Bx)+C.

A buoy rises and drops 6 meters, indicating a vertical and horizontal movement of 6 meters—this is the amplitude.

Thus, the amplitude A is 6.

The period is defined as the horizontal distance for one complete wave cycle.

The buoy takes 10 seconds to go from its peak to its lowest point (half a cycle).

Hence, the total period for a complete cycle is 20 seconds.

Additionally, Period = 2π divided by B.

Thus, 20 (B) = 2π.

This results in B being equal to 2π / 20.

= π / 10.

Since the buoy operates at a depth of 10 meters, C equals -10.

<pinserting all="" values="" into="" the="" formula="" yields:="">

⇒y = 6sin((π/10)x) - 10.

The first point marks the midline,

When x=0,

⇒y=6sin(0)-10.

y= -10.

∴ Thus, the line begins at y = -10.

The consecutive point will represent the maximum or minimum value.

Those are (5,-4) and (15, -16.)

</pinserting>
7 0
2 months ago
A sample of 150 CBC students was taken, and each student filled out a
lawyer [12517]

Answer:

The probability of event BC

= the probability of B * C = 48.6667% * 70%

= 34.0667%

Step-by-step explanation:

Probability of A, students with children = 44/150 = 29.3333%

Probability of B, students taking at least 12 credits = 73/150 = 48.6667%

Probability of C, students working a minimum of 10 hours weekly = 105/150 = 70%

Thus, the Probability of BC, students enrolled in 12 credits and working 10 hours weekly

= 48.6667% * 70%

= 34.0667%

3 0
1 month ago
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