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BabaBlast [244]
3 years ago
14

Tommy is thinking about entering a contest at the local gas station. Some of Tommy’s

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

Answer:

(a)1 out of 4.

(b)27%

(c)0.73 or 73%

Step-by-step explanation:

Tommy’s probability of winning is given as 0.27.

(a)Ratio Form

0.27=\frac{27}{100} =27:100\\$Divide both sides of 27:100 by 27\\This gives:\approx 1:4

Therefore, the probability that Tommy will win is <u>1 out of 4.</u>

(b)Exact Percent Value

Multiply the probability by 100 to obtain the exact percent value.

0.27 X 100=27%

(c)Probability that Tommy will not win.

Probability that Tommy will win+Probability that Tommy will not win=1

0.27+Probability that Tommy will not win=1

Probability that Tommy will not win=1-0.27

Probability that Tommy will not win=0.73

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62/45 in simplest form<br> (Please help)
nordsb [41]

Answer:

2 and 11/45

Step-by-step explanation:

If the fraction is improper you have to turn it into a mixed number. You can simplify the mixed number so the answer is 2 and 11/45.

7 0
3 years ago
at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite
zalisa [80]

Answer:

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

So

F + E = 30\\

We also know that:

E = 3F

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

F + 3F = 30\\F = 30/4\\F = 7.5 miles\\

Then E = 7.5*3 = 22.5 miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train (V_{E}) is the distance traveled between the time it did

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

3 0
3 years ago
Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.
Sholpan [36]

Answer:

Ok:

Step-by-step explanation:

So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:

if f(x) = 2x+2

and g(x) = x^2

f(g(x)) = 2x^2+2.

Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.

Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.

And we plug in -2 to solve:

2(3(-2)-2)-3.

and get -19.

Check if I am wrong because everyone makes mistakes but that is the way to solve this.

7 0
3 years ago
What is the volume of a right circular cylinder with a diameter of 46.25 cm and a height of 18.5 cm?
alexdok [17]
Radius = <span> <span> <span> 23.125 </span> </span> </span> cm
Cylinder Volume =  <span>π <span>• r² • height
</span></span>
Cylinder Volume =  3.14 * 23.125^2 * 18.5

Cylinder Volume =  <span> <span> <span> 31,064.53515625 </span> </span> </span>

Cylinder Volume =  <span> <span> <span> 31,064.54 cubic centimeters


</span></span></span>
7 0
3 years ago
Sean read 15 of a book in 112 hours.
makvit [3.9K]
Sean read 15 of a book in = 112 hours, 
so, 1 of a book in = 112/15

Now, 12 of a book would be: 112/15 * 12 = 112/5 * 4 = 89.6

89.6 = 89 6/10 = 89 3/5

In short, Your Answer would be 89 3/5 hours

Hope this helps!
8 0
3 years ago
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