Answer:x=1.5
Step-by-step explanation:
Given
Two points co-ordinates are given
A=(5,-8)
B=(5,4)
let other point be C =(x,y)
Area of triangle is given by
A=20-5y+40-8x+5y-4x
A=60-8x
and A=48 square unit
48=60-8x
x=1.5
As area is independent of y therefore at x=1.5 any value of y will give area of 48 square unit
Answer:
3/4
Step-by-step explanation:
The slope of the line is given by
m= (y2-y1)/(x2-x1)
= (6-3)/(0 - -4)
= (6-3)/( 0+4)
3/4
Answer:
<h2><u><em>
5</em></u></h2>
Step-by-step explanation:
X * 3^2 +2 = 47
X * 9 + 2 = 47
9X = 47 - 2
9x = 45
x = 45 : 9
X = 5
This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.
For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.
A we cannot repeat the digits, so, first five digits will be:
10 × 9 × 8 × 7 × 6
Now the next 1 digit will all be letter all being different
There are 26 letters in the alphabet.. for our second digit we have 26 choices,
Here is the whole calculation:
= 10 × 9 × 8 × 7 × 6 × 26
= 786240
To learn more about calculating possibilities from the given link
brainly.com/question/4658834
#SPJ4
Answer:
The 99% confidence interval for the population mean is 22.96 to 26.64
Step-by-step explanation:
Consider the provided information,
A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,
The confidence interval if 99%.
Thus, 1-α=0.99
α=0.01
Now we need to determine 
Now by using z score table we find that 
The boundaries of the confidence interval are:
Hence, the 99% confidence interval for the population mean is 22.96 to 26.64
