<u>Answer:</u>
Rhonda will not fall 264 times in 360 jumps.
<u>Solution:</u>
Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.
We have to find At this rate, how many times will she not fall in 360 jumps.
Now,
For 15 jumps → 4 falls
For 360 jumps → n falls
Now apply Chris cross method,

So, she falls 96 times in 360 jumps.
Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.
Hence, Rhonda will not fall 264 times in 360 jumps.
Answer:
The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.
Step-by-step explanation:
We have no information about the shape of the distribution, so we use Chebyshev's Theorem to solve this question.
Chebyshev Theorem
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
Applying the Theorem
The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.
Answer:
Below in bold.
Step-by-step explanation:
x^2 - y^2 = 11
2x^2 + y^2 = 97
From the first equation:
y^2 = x^2 - 11
Substituting in the second equation:
2x^2 + x^2 - 11 = 97
3x^2 = 108
x^2 = 36
x = 6, -6.
Substituting for x in the first equation:
(6)^2 - y^2 = 11
y^2 = 36 - 11 = 25
y = 5, -5.
Answer:
X=-0.9375 or -15/16
Step-by-step explanation:
-0.6+0.9=x+2.4
-0.6x-x=2.4-0.9
-1.6x=1.5
x= -0.9375