For this case we have the following factorized expression:

Applying distributive property we have:

We add similar terms taking into account that: Equal signs are added and the same sign is placed.

ANswer:

Answer:
x = 6
Step-by-step explanation:
Based on the triangle sum theorem, the sum of the interior angles of a triangle = 180°
Given the following, right angle (90°), 60°, and (7x - 12)° as interior angles of the triangle, therefore:
7x - 12 + 90 + 60 = 180
Add like terms
7x + 138 = 180
7x + 138 - 138 = 180 - 138 (subtraction property of equality)
7x = 42
7x/7 = 42/7 (division property of equality)
x = 6
the fraction 8/1 because when dividing fractions you want to flip the second fraction aka 8/1 and multiply the two together.
ex:
3 ÷ 8/1
3/1 × 1/8
answer- 3/24
hope this helps bb ♡
If you would like to solve the inequation 4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8, you can do this using the following steps:
4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8
4 * x - 3 * x + 7 * x > 4 + 13 - 1 + 8
8 * x > 24 /8
x > 24/8
x > 3
The correct result would be x > 3.
Answer:
Between 38 and 86 months.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
In this question:
Mean of 62, standard deviation of 12.
Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least approximately 75% of the computers?
Within 2 standard deviations of the mean, so:
62 - 2*12 = 38
62 + 2*12 = 86
Between 38 and 86 months.