Answer:
2y - 5y = -3
Step-by-step explanation:
Standard form: Ax + By = c
y + 1 = 2/5(x+4)
y + 1 = 2/5x + 8/5
- 1 -1
y = 2/5x + 3/5
5(y = 2/5x + 3/5)
5y = 2x + 3
-2x -2x
-2x + 5y = 3 (Ax + By = C)
-1(-2x + 5y = 3) (leading coefficient needs to be positive)
2y - 5y = -3
Hope this helps!
Answer:
a)
b)
c) Mary's score was 241.25.
Step-by-step explanation:
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:
a) Find the z-score of John who scored 190
b) Find the z-score of Bill who scored 270
c) If Mary had a score of 1.25, what was Mary’s score?
Mary's score was 241.25.
(1) 34.8 liters
(2) $63.55
Solution:
(1) There is a mistake in question. It is 42 liters.
Total gasoline a car can hold = 42 liters
Liters of gasoline filled in beginning of the week = 35.8
Liters of gasoline used during the week = 28.6
Remaining liters of gasoline in the tank = 35.8 – 28.6
= 7.2 liters
Quantity of gasoline need to buy to fill the tank completely
= Total capacity – Remaining gas in the tank
= 42 liters – 7.2 liters
= 34.8 liters
Hence Alberto need to buy 34.8 liters of gasoline to fill the tank.
Option B is the correct answer.
(2)
Shamika earns in first week = $25.75
Shamika earns in next week = $37.80
Total money Shamika have = First week earning + Second week earning
= $25.75 + $37.80
= $63.55
Don't add or subtract spending money, because the question is how much she have from these two weeks.
Hence Shamika have $63.55 from these two weeks.
I’m pretty sure it’s C but idk? Sorry