The team ran 2 miles.
Step-by-step explanation:
Step 1; The track is
miles long and the team ran 2
laps on it. To calculate the distance run we multiply the number of laps ran with the distance on each lap.
Distance run = Number of laps × Distance on each lap.
Step 2; We convert 2
from a mixed fraction into an improper fraction. To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged. To convert the fraction 2
= ((2 × 3) + 2) / 3 =
.
Distance run = Number of laps × Distance on each lap =
×
=
= 2 miles.
Answer:
x = 
Step-by-step explanation:
<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>
x + 2y = 6 ---------------(1)
y - 5 =
---------------(2)
y =
+ 5 ---------------(3)
Substitute (3) in (1) ,
x + 2(
+ 5 ) = 6
=
x + 2(
+ 5 ) = 6
--------------(4)
The roots of the quadratic equation
is
x =
-----------(5)
According to equation (5),solution of (4) is
x = 
x = 
x = 
Answer:
I think all of these are optional answers
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation:
The numbers that are less than 6 are 1, 2, 3, 4, and 5. Thus simply means that there are 5 numbers that are less than 6.
The probability that she chooses a number less than 6 will then be:
= 5/10
= 1/2
Answer:
0.077994
Step-by-step explanation:
Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.

(Right tailed test)
Sample size = 
Sample mean = 30.45
Mean difference =
Sample std dev s = 5
Sample std error = 
Test statistic = Mean diff/std error = 
Since population std deviation is not know we use t test
p value = 