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attashe74 [19]
3 years ago
6

John wants his friends to figure out what number he is thinking of. He gives them three clues: It is a whole number. The number

divided by 2 is greater than 9 and less than 13. The sum of its prime factors is 9. A. What are the possible numbers that John could be describing?
Mathematics
1 answer:
Sedbober [7]3 years ago
5 0

Answer:

11 and 12

Step-by-step explanation:

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For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a beverly hi
AleksAgata [21]
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system

Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999

The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
7 0
3 years ago
B. What is the volume of the prism in cm3? Show your reasoning. If you
Anastaziya [24]

Answer:

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:

1/(1/8)= 8 cubes

8 0
3 years ago
A set of numbers is shown below: {0, 0.6, 2, 4, 6} Which of the following shows all the numbers from the set that make the inequ
Lorico [155]
The given equality hold true when x = 2.

Put x = 2 in inequality.

2(2) + 3 = 4+3 = 7 = R.H.S.

For x = 4 and 6, L.H.S(2x+3) is greater than 7.

Hence for x = 2, 4 and 6, the above inequality holds true.

Hope this helps!
3 0
3 years ago
Read 2 more answers
For what values of x is 12x-6 < 13x + 10
slamgirl [31]

Answer:

x > 16

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask

8 0
4 years ago
Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).
DochEvi [55]

Let y=ab^x, as described in the problem statement. Plugging in x=2 and x=5 gives us the equations 18=ab^2 and 60.75=ab^5. Since a,b are nonzero, we divide the second equation by the first to get \frac{27}{8}=b^3, which means that b=\frac{3}{2}, after taking the cube root. Plugging this value for b into the first equation, we now have 18=a(3/2)^2=\frac{9a}{4}. Solving gives a=8, and our desired exponential equation is \boxed{y=8\left(\frac{3}{2}\right)^x}.

8 0
3 years ago
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