Answer:
The number of ways it could be done is:
720
Step-by-step explanation:
It is given that:
There are 10 cars in today’s Grand Prix race.
We have to find the different number of ways these three cars win first second and third places.
That is we have to choose the three cars and arrange them in ways as according to they obtain there ranks.
Hence, we will use the method of permutation since we have to choose three cars and also arrange them according to their order they finished the race and took first, second and third place.
Hence, the number of ways it could be done is:
Here we have n=10 and r=3.
Hence,
Hence, the number of ways it could be done is:
720
Since the shower block is in the form of a rectangle. The shower block has an area of 144. It has a length of 24m. We need to calculate the width of the shower block.
Area of rectangular shower block = length width
144 = 24 m width
width =
width = 6m
So, the width of the shower block is 6 meters.
Answer:
x = 8
Step-by-step explanation:
3x + 5(x - 6) = 3(x + 5) - 5
3x + 5x - 30 = 3x + 15 - 5
3x + 5x - 3x = 15 - 5 + 30
5x = 40
x = 8
If a line, in this case XY, is bisected by the line segment, in this case WZ, we are able to form two opposite rays. These rays will now be referred to as XZ and YZ because the line segment bisected the line at point Z.
One of the two conclusions is that which is already written above. Another is that, we form two angles. These angles can be named as, WZX and WZY. These angles are supplementary. This means that their measures would add up to 180°. This is also in consideration that they share one common side and the other side of each of the angles are opposite rays.
Answer:
95% confidence interval: (0.402,0.598)
Step-by-step explanation:
We are given the following in the question:
Proportion of student who voted Republican in the last election = 50%
Standard error = 5% = 0.05
95% confidence interval:
Putting values, we get,
is the required confidence interval.