Indicate the method you would use to prove the two triangles congruent. If no method applies, enter "none."
2 answers:
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Answer:
The winner completed the race in 96 hours and 52 minutes.
Step-by-step explanation:
Given:
Distance of the cycling race = 2292 miles
Average speed of the winner =
We need to find time required by winner to complete the race.
Solution:
Now we know that;
Time required can be calculated by dividing Total Distance from the Average speed.
framing in equation form we get;
time required by winner to complete the race =
Now converting into minutes we get;
Hence the winner completed the race in 96 hours and 52 minutes.
The 85th percentile is a probability of 0.85 and its location is shown in the bell curve below
We need to look up on the z-table the value of z when P(Z<z) = 0.85 or P(Z>z) = 0.15
Value of z-score when p-value P(Z>z) = 0.15 is z = 1.0364
Next step is to use the formula of z-score to work out X
z-score = (X-μ) / σ
1.0364 = (X-80) / 15
1.0364 × 15 = X - 80
X = 15.546 + 80
X = 95.5
Most likely score that Ashley gets is 95.5
We need to look up on the z-table the value of z when P(Z<z) = 0.85 or P(Z>z) = 0.15
Value of z-score when p-value P(Z>z) = 0.15 is z = 1.0364
Next step is to use the formula of z-score to work out X
z-score = (X-μ) / σ
1.0364 = (X-80) / 15
1.0364 × 15 = X - 80
X = 15.546 + 80
X = 95.5
Most likely score that Ashley gets is 95.5