Answer:
Kate's electric bill will be $9 for this month for bulb use only.
Step-by-step explanation:
Given:
Electricity bill lass month from bulb use = $12
Using new bulbs percent decrease in electricity = 25%
We need to find this month electric bill for bulb use.
Solution:
First we will find the reduction in bill after using new bulbs.
reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.
framing in equation form we get;
reduction in bill after using new bulbs = 
Now we will find this month electric bill for bulb use only.
this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.
framing in equation form we get;
this month electric bill for bulb use only = 
Hence Kate's electric bill will be $9 for this month for bulb use only.
Answer:
0.8914
Step-by-step explanation:
You want to find the z-values associated with the x-values:
z = (x -μ)/σ
z1 = (57 -90)/12 = -2.75
z2 = (105 -90)/12 = 1.25
Look up these values in a probability table and find the difference of the table values.
p(z < z1) ≈ 0.00298 . . . . from a table or calculator
p(z < z2) ≈ 0.89435 . . . . from a table or calculator
p(57 < x < 105) ≈ 0.89435 -0.00298 = 0.89137 ≈ 0.8914
Answer:
cos theta = -4/5.
sec theta = -5/4.
tan theta = 3/4.
cot theta = 4/3.
Step-by-step explanation:
sin^2 theta + cos^2 theta = 1
(-3/5)^2 + cos^2 theta = 1
cos^2 theta = 1 - 9/25
cos^2 theta = 16/25
cos theta = -4/5 (negative because it is in Quadrant 3).
sec theta = 1 / cos theta = -5/4.
tan theta = sin theta / cos theta = -3/5 / - 4/5
= -3/5 * -5/4
= 3/4.
cot theta = 1 / tan theta = 4/3.
There are 12 wheels on 4 tricycles.