Need ASAP I’ll mark brainliest if right
2 answers:
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Step 1: Assign variable for the unknown that we need to find.
Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)
Step 2: Use the sentence given to set up an equation
Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"
Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.
Using the sentence we can write the below equation...
Distributing 3 in the right side of the equation, we get...
Adding 3x on both sides of the equation, we get...
Combine like terms in the left side of the equation, we get...
Dividing 4 on both sides of the equation, we get...
Simplifying the fraction on either side of the equation, we get...
Conclusion:
Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.
I hope this helps you
Answer:
The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
.
Which interval describes how long it takes for passengers to board the middle 95% of the time?
This is between the 2.5th percentile and the 97.5th percentile.
So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975
Lower Limit
Z has a pvalue of 0.025 when . So
Upper Limit
Z has a pvalue of 0.975 when . So
The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.