Answer:
x=10, y=-5
Step-by-step explanation:
2x+3y=5, y= 5-x; change y to 5-x:
2x+3(5-x)=5
2x-3x+15=5
-x=5-15
-x=-10
x=10
=>y=5-x=5-10=-5
Answer:
1/24 yards.
Step-by-step explanation:
1/6 / 4
= 1/6 * 1/4
= 1/24.
Answer:
£510
Step-by-step explanation:
Simple interest = (principal × rate × time) / 100
Principal = £1700
Rate = 10%
Time = 3 years
Simple interest = (principal × rate × time) / 100
= (1700 × 10 × 3) / 100
= 51,000/100
= 510
Simple interest = £510
Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that 
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So



has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Answer:
1/2pi
Step-by-step explanation:
Since the formula for circumference is 2*pi*r and we know the R=1 so the of the whole circle is 2pi. This is a quarter of a circle so the answer is 1/2pi