Answer:
x = -6
Step-by-step explanation:
I'm assuming you're solving for x
3/4 (4x + 8) = -12
you distribute the 3/4 to 4x and 8 so
3/4 times 4x = 3x
3/4 times 8 = 6
now looks like
3x + 6 = -12
3x = -12 - 6
3x = -18
x = -6
17/38 add the total up and you get the answer
Answer:
A) x ≥ 0.074; B) x ≥ 0.108; C) x ≤ 0.006; D) 0.04 ≤ x ≤ 0.108
Step-by-step explanation:
68% of data will fall within 1 standard deviation of the mean; 95% of data will fall within 2 standard deviations of the mean; and 99.7% of data will fall within 3 standard deviations of the mean.
Breaking this down, we find that 34% of data fall from the mean to 1 standard deviation above the mean; 13.5% of data fall from 1 standard deviation above the mean to 2 standard deviations above the mean; 2.35% of data fall from 2 standard deviations above the mean to 3 standard deviations above the mean; and 0.15% of data fall above 3 standard deviations above the mean.
The same percentages apply to the standard deviations below the mean.
The highest 50% of data will fall from the mean to the end of the right tail. This means the inequality for the highest 50% will be x ≥ 0.074, the mean.
The highest 16% of data will fall from 1 standard deviation above the mean to the end of the right tail. This means the inequality for the highest 16% will be x ≥ 0.074+0.034, or x ≥ 0.108.
The lowest 2.5% of data will fall from 2 standard deviations below the mean to the end of the left tail. This means the inequality for the lowest 2.5% will be x ≤ 0.074-0.034-0.034, or x ≤ 0.066.
The middle 68% will fall from 1 standard deviation below the mean to 1 standard deviation above the mean; this means the inequality for the middle 68% will be
0.074-0.034 ≤ x ≤ 0.074+0.034, or
0.04 ≤ x ≤ 0.108
Answer:
50 cars and 25 bikes
Step-by-step explanation:
Given
Total wheels = 250
Required:
Number of cars and bikes
Let C represent Cars and B represents Bike
A car has 4 wheels and a bike has 2 wheels;
So,
Divide through by 2
---- Equation 1
The ratio of wheels of cars to wheels of bike is 1:2
Meaning that
1C = 2B
So, C = 2B
Substitute 2B for C in equation 1
Divide both sides by 5
Recall that C = 2B
So,
Hence, Anna has seen 50 cars and 25 bikes
