Answer:
x = -24
Step-by-step explanation:
3(x + 7) = 2x - 3
3 * x = 3x
3 * 7 = 21
3x + 21 = 2x - 3
-21 -21
3x = 2x -24
-2x -2x
x = -24
Answer:
42
Step-by-step explanation:
for one cup 28/12
for 18 cup,
(28/12)×18
=42
Answer:
- incorrect
- correct
- incorrect
Step-by-step explanation:
A + B = (-4x^2 +2x -5) +(3x^2 +6) = x^2(-4+3) +x(2) +(-5+6) = -x^2 +2x +1
The given sum is Incorrect.
__
A - C = (-4x^2 +2x -5) -(-5x -4) = -4x^2 +x(2+5) +(-5+4) = -4x^2 +7x -1
The given difference is Correct.
__
B + C = (3x^2 +6) +(-5x -4) = 3x^2 -6x +2
The given sum is Incorrect.
Answer:
Step-by-step explanation:
y = -x-3
y = x^2 + 4x + 1
x^2 + 4x + 1 = -x-3
x^2 + 5x + 4 = 0
Quadratic Formula
x = [-5±√(5²-4⋅1⋅4)]/[2⋅1] = [-5±√9]/2 = [-5±3]/2 = 1,-4
(x,y) = (1,-4) of(-4,1)
Answer:
The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
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:

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?
90th percentile
The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So




The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds