Answer:
-5y
Step-by-step explanation:
The slope would be (3-1)/(6-4) or 1
In the table, it shows the x values and the corresponding y values under it [aka f(x)].
The problem is basically asking which equation, a,b,c or d will get the y values with the x values.
we can try this with x value 3 and y value 7
a. 3^x=3^3=3*3*3=27
27 is so far away from 7 so a must be wrong
b.3x=3*3=9
still not 7 therefore b is also wrong
c. 2^x-1= 2^3-1=8-1=7
7=7 therefore this one might be right, but to make sure we have to check if d is correct or not
d. 2x+1=2*3+1=7
7=7 so d is also correct for the first set of values.
Next we should use the next available values until one of the answers c or d is confirmed wrong
x value 4 and y value 15
c. 2^4-1=16-1=15
15=15
d. 2x+1=8+1=9
9 does not work
Therefore, the answer should be c.
Answer:
602.50 hours
Step-by-step explanation:
Given that a manufacturing plant uses light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 50 hours,
It was decided to replace the bulbs so that no more than 2% of the bulbs to burn out between replacement periods
i.e. we have to construct 98% confidence interval right tailed to get this.
Z value is 2.05 for this (Upper tailed 0.98 probability)
Hence margin of error 
The upper bound for this would be
So to keep below 2% the bulbs to burn out it should be replaced before 602.50 hours.
Answer:
-44.58%
Step-by-step explanation:
If I spent $83 on a coat and the next week found it for $46, how much did it change? Well 83-46 is $37 and is -$37 because that's how much money I lost. To find the percent change we divide the difference of -37 by the total 83.
-37/83= - 0.44578
To convert from a decimal to a percent, I multiply by 100.
-0.44578(100)= -44.58 rounded.
