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Alexeev081 [22]
3 years ago
10

Jason rolls a fair number cube labeled 1 through 6 and then he flips a coin what is the probability that he rolls a 3 and flips

a head
Mathematics
1 answer:
motikmotik3 years ago
6 0

There are 6 numbers on the cube.

The probability of getting a 3 would be 1 out of 6, 1/6

The probability of getting heads on a coin toss is 1/2

The probability of getting both a 3 and a head = 1/6 x 1/2 = 1/12

Answer: 1/12

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A wagon is pulled along level ground by exerting a force of 38 pounds on a handle that makes an angle of 30 with the horizontal.
KiRa [710]

Answer:

2150

Step-by-step explanation:

8 0
3 years ago
14 Metric System Conversion. Convert 26.2 miles into kilometers and round to the nearest tenth. (Hint: 1 mile= 1.609 km)
Mekhanik [1.2K]

Answer:

42.1558 km

Step-by-step explanation:

We know that 1 mile = 1,609 km

Then use this data as a conversion factor.

If we want to transform miles to kilometers then our conversion factor should be:

\frac{1,609\ km}{1\ miles}

Now we must multiply the number of miles by this factori and thus we obtain the equivalent in kilometers

26.2*\frac{1,609\ km}{1\ miles} = 42.1558 km

5 0
3 years ago
Given f (x) = x2 + 5x + 6, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?
scoray [572]

We want to get the difference quotient for the given function, we will get see that the difference quotient is equal to:

f'(x) = 2x + 5

<h3>The difference quotient:</h3>

For a given function f(x), we define the difference quotient as:

\lim_{h \to 0}  \frac{f(x + h) - f(x)}{h}

In this case, we have:

f(x) = x^2 + 5x + 6

Replacing that in the difference quotient we get:

\lim_{h \to 0}  \frac{(x + h)^2 + 5*(x + h) + 6 - x^2 - 5x - 6}{h}\\\\\lim_{h \to 0}  \frac{x^2 + 2xh + h^2 + 5*x + 5*h + 6 - x^2 - 5x - 6}{h}\\\\\lim_{h \to 0}  \frac{ 2xh + h^2 + 5*h }{h}\\

Now we can cancel the factor h to get:

\lim_{h \to 0}  2x + h + 5 = 2x + 0 + 5 = 2x + 5

So the difference quotient is equal to 2x + 5.

If you want to learn more about difference quotients, you can read:

brainly.com/question/4224465

5 0
3 years ago
Solve.
Artist 52 [7]

Answer:

(5,-3) if the system is

y=x-8

2x+3y=1

Step-by-step explanation:

I think the system is to read:

y=x-8

2x+3y=1.

Please correct me if I'm wrong.

I'm going to plug 1st equation into 2nd equation giving me:

2x+3(x-8)=1      ->I replaced y with (x-8).

Distribute:

2x+3x-24=1

Combine like terms:

5x-24=1

Add 24 on both sides:

5x=25

Divide both sides by 5:

x=5

If y=x-8 and x=5, then y=5-8=-3.

The solution is (5,-3).

7 0
4 years ago
tape travels through a tape player at a speed of 9.45 feet per minute. how many feet of tape are needed for half an hour of cont
Allushta [10]
9.45*30 which is equivalent to 283.5feet
8 0
3 years ago
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