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Artyom0805 [142]
3 years ago
5

When rolling 2 6 sided number cubes, what are the chances the sum of the roll will be 7

Mathematics
1 answer:
Lorico [155]3 years ago
4 0

Answer:


Step-by-step explanation:

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.

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A model rocket is launched directly upward at a speed of 20 meters per second from the ground. The function f(t)=−4.9t2+20t, mod
Nataly [62]

Answer:

The rocket will reach its highest point about 2.04 seconds.

Step-by-step explanation:

The function:

f(t)=-4.9t^2+20t

Models the relationship between the height of the rocket and the time after launch t in seconds.

Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:

\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)

In this case, a = -4.9, b = 20, and c = 0. Thus:

\displaystyle t=\frac{-(20)}{2(-4.9)}=\frac{10}{4.9}\approx 2.04

The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.

Further Notes:

Then the maximum height of the rocket will be f(10/4.9):

\displaystyle f\Big(\frac{10}{4.9}\Big)=-4.9\Big(\frac{10}{4.9}\Big)^2+20\Big(\frac{10}{4.9}\Big)\approx20.41\text{ feet}

4 0
3 years ago
A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair o
Sphinxa [80]

Answer:

£15.6

Step-by-step explanation:

Method 1:

You are trying to find 30% of £52.

Therefore:

\frac{30}{100}  * 52 = \frac{30 * 52}{100}

If you solve this you will find that 30 × 52 = 1560, and 1560 ÷ 100 = £15.6.

So, the answer is £15.6.

Method 2:

You can solve 30% of £52 by using an algebra equation.

By using the rule that to convert a percentage to a decimal you divide by 100, you can change 30% to be 0.3.

Now, in order to write the equation, you will have to include 0.3 and 52.

The equation is:

0.3 * 52 = x

Once you multiply, you will find that the answer is £15.6.

I hope I helped!

3 0
3 years ago
How do I find the answer for find the total cost for four adults and four students
Andru [333]
You add the answers together
8 0
3 years ago
5x + 2y =20 when x =0.3?
SVEN [57.7K]
9.25 I think. Multiply 5 by .3 and subtract that from 20. Divide what you get from the subtraction by 2
3 0
3 years ago
Read 2 more answers
Pls i need help with this
schepotkina [342]

Answer:

(3,-4)

Step-by-step explanation:

Hopefully the image can help which shows two different examples

6 0
3 years ago
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