Answer:
see explanation
Step-by-step explanation:
Given x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 9 when y = 4
k = =
= 2.25
x = 2.25y ← equation of variation
When y = 8, then
x = 2.25 × 8 = 18
Answer:
The probability is 0.508 = 50.8%.
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.
Normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0525 g.
This means that
If 1 candy is randomly selected, find the probability that it weighs more than 0.8535 g.
This is 1 subtracted by the pvalue of Z when X = 0.8535. So
has a pvalue of 0.492
1 - 0.492 = 0.508
The probability is 0.508 = 50.8%.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
isolate the variable y
Divide by -4 both sides
Remember
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
The solution of the inequality is the shaded area above the dashed line
The slope of the dashed line is positive m=1/4
The y-intercept of the dashed line is (0,0)
The x-intercept of the dashed line is (0,0)
using a graphing tool
The graph in the attached figure
