Answer:
y = 2x−2
Step-by-step explanation:
You are given a slope and a point, so you can write the equation using point-slope form:
y -k = m(x -h) . . . . . . a line with slope m through point (h, k)
Putting in the numbers given, you have ...
y -6 = 2(x -4)
y = 2x -8 +6 . . . . eliminate parentheses, add 6
y = 2x -2 . . . . . . . collect terms.
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You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.
- 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
- 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
- 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
Answer:
Hi there
The formula is
A=p (1+r)^t
A future value
P present value
R interest rate
T time
A) A=2,000×(1+0.04)^(3)=2,249.728
B) A=2,000×(1+0.04)^(18)=4,051.63
C) 2500=2000 (1+0.04)^t
Solve for t
T=log(2,500÷2,000)÷log(1+0.04)
T=5.7 years
D) t=log(3,000÷2,000)÷log(1+0.04)
t=10.3 years
Hope it helps
Step-by-step explanation:
-1
- 3/5
- 0.5
-0.4
The least is always the one furthest away from 0
Answer:
The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.
Step-by-step explanation:
Problems of normally distributed samples are 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:

Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.
This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.




The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.
Answer:
y= 11x -5
Step-by-step explanation:
I believe you rearrange it to get y on one side of the equation so,
2y= 22x-10
and then divide 2 on both sides to get,
y=11x-5