Answer:
15 units.
Step-by-step explanation:
The distance between the points (x1, y1) and (x2, y2) is
√(x1-y1)^2 + (y1-y2)^2))
So here it is:
√(10- -2)^2 + (6- -3)^2)
= √(144+81)
= √225
= 15.
Answer:
24cubic inches
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
Here's the complete question:
Leah has 8 4/7 meters of cloth, which she divides equally among her friends. Each friend 10/7 gets meters of cloth. She distributed the cloth to ---- friends.
Total length of the cloth = 8 4/7m
Number of friends = Unknown
Amount of length gotten by each friend= 10/7
The number of friends that she shred the cloth among will be:
= Total length of cloth / Length gotten by each friend
= 8 4/7 ÷ 10/7
= 60/7 ÷ 10/7
= 6/7 × 7/10.
= 60/10
= 6.
It was shared among 6 friends
Answer:
-2.26 lb
Step-by-step explanation:
Let the dog's initial weight be d.
Then, one year later, the dog weighs 3.73 lb less, and thus weighed d - 3.73 lb.
During the next year, the dog gained 1.47 lb, so now weighs d - 3.73 + 1.47 lb, or
d - 2.26 lb. This indicates a total weight loss of 2.26 over these two years.
Answer:
p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.
Step-by-step explanation:
: less than or equal 50% of students at his college receive financial aid
: more than 50% of students receive financial aid.
According to the nul hypothesis we assume a normal distribution with proportion 50%.
z-score of sample proportion can be calculated using the formula:
z=
where
- X is the sample proportion (0.65)
- M is the null hypothesis proportion (0.5)
- s is the standard deviation of the sample (
) - N is the sample size (120)
then z=
≈ 3,29
thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.
