Answer:
If Carley ran the 400 meter run in a total of 55.7 seconds and she beat the record by 1.3 seconds, you would add 55.7 and 1.3
55.7+1.3= 57 seconds
The past school record for the girls 400 meter run was 57 seconds
Hope this helps ;)
For question 4, units,
For question 5, units.
Step-by-step explanation:
Step 1:
Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.
We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.
Step 2:
For question 4, the first rectangle has a length of 9 units while the width is 3 units.
For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.
The ratio of the first rectangle to the second is;
So units.
Step 3:
The shapes in question 5 are made of a square and a triangle.
For the first shape, the side length is 6 units while the side of the triangle is 10 units.
For the second shape, the side length is 5 units while the side of the triangle is x units.
The ratio of the first shape to the second is;
So units.
Answer:
The 95% confidence interval based on this sample is =
[6.41, 7.79]
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × standard deviation/√n
Sample mean = 7.1 hours
Standard deviation = 5 hours
n = 200 students
z = 95% confidence interval z score
= 1.96
C.I = 7.1 ± 1.96 × 5/√200
C.I = 7.1 ± 0.693
Hence, Confidence Interval
= 7.1 - 0.693
= 6.407
Approximately = 6.41
= 7.1 + 0.693
= 7.793
Approximately = 7.79
Therefore, the 95% confidence interval based on this sample is
[6.41, 7.79]
G(9,-3) being dilated by a scale factor of 1/3 is G'(3,-1) so D. All I did was divide the coordinates by 3 and there you go.