In order to find the value of x, you have to cross multiply both equations. 4x-10 is basically 4 times something subtract 10. Same thing as well for 3x-2. Now it says to find the value of x. X has to also be the same answer for both equation as well. By the way x doesn't have a given number so there is no specific answer.
Let x be the number of hours she jogs, and y be the number of hours she bikes.
The total time would then be x + y = 5
The total distance (based on the given speeds) would be 6x + 12y = 50
Multiply the first equation by 6 to get 6x + 6y = 30
Subtract this from the second equation to get 6y = 20
y = 10/3 or 3 1/3
Substitute this value back into the first equation to get x = 5/3 or 1 2/3
Therefore, Yolanda will have to jog 1 2/3 hours and bike 3 1/3 hours.
For x = -1, 3(-1) - 5y = 9 => -3 - 5y = 9 => 5y = -3 - 9 = -12 => y = -12/5 = -2.4
for x = 0, 3(0) - 5y = 9 => -5y = 9 => y = 9/-5 = -1.8
for x = 1, 3(1) - 5y = 9 => 3 - 5y = 9 => 5y = 3 - 9 = -6 => y = -6/5 = -1.2
Answer:
They need to survey 4145 residents.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
The margin of error is given by:

99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?
This is n for which
. As we have no estimate for the proportion, we use
. So






Rounding up:
They need to survey 4145 residents.
Answer:
12
Step-by-step explanation:
length× bredth× height=volume but in this case it is a cylinder so for length and bredth we will use radius. For the height the cylinder is half filled so its height will be 1m. then we will use the formula
l×b×h 3×3×1=9 So 9 is the answer ♥