Alright, this is simple. You know what the new number is, 54. You know the original number was decreased by 40%. Your looking for the original number, X. So set up an equation.
x-.4x=54
When X stands by itself, it's perceived to value 1.00
1.00-.4x=54
(1.00-.4 [40%]=.6)
.6x=54
Divide both sides by .6 to eliminate everything else.
.6x/.6=54/.6
You get 90. Your original number was indeed 90.
To check it, we can do 90/40%, or 90/.4=54
~Hope this helps!
Answer:
80
Step-by-step explanation:
60%=48
10%=8
8*10=80
Answer: 1 bulb
Step-by-step explanation:
Using the proportion of flawed bulbs in the first scenario, you can get the number of flawed bulbs in the other bath.
First scenario total bulbs = 2 + 36 = 38
Proportion of flawed bulbs = 2/38 = 1/19
In a batch of 19, the flawed bulbs are;
= 1/19 * 19
= 1 bulb
The formula for the confidence interval is given by
Sample mean + z*[σ/√n], and
Sample mean - z*[σ/√n]
We have:
Sample mean = 23.95
n = 40
σ = 2.55
z* for 99% confidence = 2.58
Substitute these values into the formula, we have
23.95 + (2.58)(2.55÷√40) = 24.99
23.95 - (2.58)(2.55÷√40) = 22.91
So the lower interval is 22.91 and the highest interval is 24.99
Answer:
y-intercept is -4
Step-by-step explanation:
(Refer to image)
Substitute the point and slope with the slope formula: y=mx+b and simplify
