Answer:
3.666666667
Step-by-step explanation:
Simplifying
3x + -7y = 11
Solving
3x + -7y = 11
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7y' to each side of the equation.
3x + -7y + 7y = 11 + 7y
Combine like terms: -7y + 7y = 0
3x + 0 = 11 + 7y
3x = 11 + 7y
Divide each side by '3'.
x = 3.666666667 + 2.333333333y
Step-by-step explanation:
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Answer:
5
Step-by-step explanation:
=
=
=5
<span>The simple interest formula is:
A = P · (1 + r · t)
where:
A = total amount
P = principal
r = rate
t = time
Let's solve for r:
A = P + P · r · t
P · r · t = A - P
r = (A - P) / (P · t)
The quantity A - P is defined as the Interest, therefore:
r = I / (P <span>· t)
= 1020 / (8500 </span>· 4)
= 0.03
Therefore the rate was 3%.
</span>
The experimental probability of rolling a 6 is 9/60 which can be determined by dividing the frequency of the observation 6 with the total frequency of the experiment.
<u>Step-by-step explanation:</u>
Experimental probability is different from theoretical probability because the former is obtained by experimentation while the latter is what we expect theoretically.When we take a number of observations, the experimental probability and theoretical probability need not be the same.
In this question we have to determine the experimental probability of 6. It can be determined by dividing the frequency of the observation 6 by the total frequency of the experiment.
frequency of 6=9
total frequency=frequency of 1+frequency of 2+frequency of 3+frequency of 4+frequency of 5+frequency of 6
=13+11+9+8+10+9
=60
P(6)=frequency of 6/total frequency
=9/60
