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slamgirl [31]
2 years ago
7

What is the likelihood of drawing a blue marble, if the probability of drawing a blue marble is 1?

Mathematics
1 answer:
lozanna [386]2 years ago
6 0

Answer:

Certain

Step-by-step explanation:

There is only 1 blue marble so you will definitely pick it out.

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How many integers between 10 and 60, inclusive, can be evenly divided by neither 2 nor 3?
erastovalidia [21]
Find total number of integers.

a_1=10,a_n=60,d=1 \\a_n=a_1+(n-1)d \\60=10+(n-1)1 \\n-1=50 \\n=51

Find how many integers is divisible by 2.

a_1=10,a_n=60,d=2
\\a_n=a_1+(n-1)d
\\60=10+(n-1)2
\\2(n-1)=50
\\n-1=25
\\n=26

Eliminate even numbers.

11, 13, 15,..., 57, 59

This array contains 51 - 26 = 25 numbers.

Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.

15, 17, 19,..., 55, 57

This array contains 25 - 3 = 22 numbers.

Now we should eliminate numbers divisible by 3: 15, 21, 27...

a_1=15,a_n=57,d=6,n=?
\\a_n=a_1+(n-1)d
\\57=15+(n-1)6
\\6(n-1)=42
\\n-1=7
\\n=8

There are 8 such numbers.

Therefore, there are 25 - 8 = 17 numbers that <span>can be evenly divided by neither 2 nor 3</span>

6 0
3 years ago
Find y. A. √22 B. 8 C. √42 D. 4
Elina [12.6K]

Answer:

\Large \boxed{\mathrm{D. \ 4}}

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve the problem.

tan θ = opp/adj

tan 30 = y/(4√3)

y = 4√3 tan 30

y = 4

7 0
3 years ago
The formula for the area, A, of a regular polygon in terms of the perimeter of the polygon, p, and the length of the apothem, a,
victus00 [196]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What percentage of students earning degrees in 2009 were awarded a professional degree?
shusha [124]

Answer:

2.07%

Step-by-step explanation:

92 out of a total of 3,204 graduates earned a professional degree.  That works out to 0.0207, or 2.07%.

6 0
3 years ago
Read 2 more answers
Help 20 POINTS, TOPIC: HOURLY RATES
Shtirlitz [24]
B.
For all 3 to work together, they can paint 1 room per hour.
C.
John can paint a room at 1/4 of a room per hour.
Rick can paint a room at 1/5 of a room per hour.
Together they can paint a room at a rate of 9/20 of rooms per hour.
D.
1 = 1/4j + 1/5r + 11/20m (john, rick, molli)
E. 
The least common denominator is 20
F. 
1 = 1/4(0) + 1/5(0) + 11/20x
1 = 0 + 0 + 11/20x
1 = 11/20x
x = 1/(11/20)
x = 1 9/11 
It will take Molli 1 hour and 49 minutes (60 x 9/11) to paint the room alone.
6 0
3 years ago
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