Answer:
Step-by-step explanation:
- Translation right 4 units
- Vertical Stretch
- Reflection over x-axis
Hope it helps.
Simplify: 7p - 4 + 12p
To simplify this expression, simply combine like terms. The expression has two variable terms and one constant term. The variable terms are 7p and 12p, and the constant term is -4. Begin simplifying by combining variable terms (add them together).
7p + 12p
19p
This term (19p) replaces the first p-term in the original expression.
As there is only one constant term (-4), that is all there is to be done to simplify this expression.
Answer:
19p - 4
Answer:
340
Step-by-step explanation:
The first step is finding the percentage of those who fail within 19 months.
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The proportion is the pvalue of Z when X = 19. So
has a pvalue of 0.6808.
Jolt is expected to replace 0.6808 of the connectors sold. Out of 500, that is, on average, 0.6808*500 = 340.
Jolt expects to replace, on average, 340 of the connectors sold.
Answer: The constant of proportionality is 8 for the the problem on your left! The constant of proportionality for the one on you right is 6! Hope this helps!
Step-by-step explanation: Vincent earned $24 for 3 hours and so you find out how much he gets paid for 1 hour, then you divide 24 by 3 and get 8! Later he earned $72 for 9 hours, and you do the same thing which is to divide 72 by 9 which also give you 8 and so your unit rate or constant of proportionality is 8. So for the other one Justene can bike for 12 miles in 2 hours and so you find out how many miles she can bike for 1 hours and so you divide 12 by 2 which give you 6 and she can bike 6 miles in 1 hour. Then she biked 36 miles in 6 hours and you divide 36 by 6 which give you 6 and so your constant of proportionality is 6!
