GD=FE (property of parallelogram)
2x-5=17
2x=22
x=11
Find out how much one bag costs
divide $8.16 by 6 to get $1.36
multiply $1.36 by 8 to give you $10.88
Answer:
Step-by-step explanation:
Check the attached diagram... since they are parallel lines, those angles should be equal. now as per the theorem of opposite angles, (3x + 10)° should be equal to 70° .
(3x + 10)° = 70°
3x = 60°
x = 20
Answer:
0.8178
Step-by-step explanation:
To make a 13% decrease in a value, we need to make the difference between the value (X) and 13% of the value:
X - 13% of X = X - 0.13*X = 0.87*X
To make a 6% decrease, following the same method, we just need to multiply the value by (1-0.06) = 0.94
So, to represent in a single decimal value a decrease of 13% and then a decrease of 6%, we just need to multiply the value by 0.87 and then by 0.94:
X*0.87*0.94 = X*0.8178
So the single decimal multiplier is 0.8178
The answer is
96%.
Explanation:
It is generally presumed that the scores are normally distributed.
1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the
z-score. Therefore z = 1.75
2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599
3) Multiply the area by 100 in order to find the
percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.
Hence, the answer is
96%.