The table represents the distance covered by Emma over several hours on a recent Saturday bike ride. Becky takes the same route,
and the total distance she travels, y miles, in x hours is represented by the function y = 8x. Assuming that Emma and Becky travel at a constant rate of speed, which statement BEST compares their biking speeds?
A) Emma travels 0.5 miles per hour faster than Becky.
B) Becky travels 0.5 miles per hour faster than Emma.
C) Emma travels 7 miles per hour faster than Becky.
D) Emma and Becky travel at the same speed.
A) Emma travels 0.5 miles per hour faster than Becky.
B) Becky travels 0.5 miles per hour faster than Emma.
C) Emma travels 7 miles per hour faster than Becky.
D) Emma and Becky travel at the same speed.
2 answers:
Answer:
Option B. is the answer.
Step-by-step explanation:
y = 8x is the function that represents the distance y miles traveled in x hours by Emma.
From the given function
Speed of Emma = miles per hour
Relation between distance covered (y) by Becky in (x) hours has been given in the table attached.
Then speed of Becky = Rate of change in distance traveled by Becky
Speed of Becky =
= 7.5 miles per hour
Difference in the speed of Becky and Emma = 8 - 7.5 = 0.5 miles per hour
That represents that Becky travels 0.5 miles per hour faster than Emma.
Option B). is the answer.
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a. The probability that on a randomly selected day, the jail population
is greater than 750,000 is 20.1%
b. The probability that on a randomly selected day, the jail population is
between 600,000 and 700,000 is 43.2%
Step-by-step explanation:
The given is:
1. The average daily jail population in the United States is 706,242
2. The distribution is normal and the standard deviation is 52,145
3. We need to find the probability that on a randomly selected day,
the jail population is greater than 750,000
4. We need to find the probability that on a randomly selected day,
the jail population is between 600,000 and 700,000
a.
At first find z-score
∵ z = (x - μ)/σ, where x is the score, μ is the mean and σ is the standard
deviation
∵ x = 750,000 , μ = 706,242 and σ = 52,145
∴ z = ≅ 0.84
Use the normal distribution table of z to find the area to the right of
the z-value
∵ The corresponding area to z-score of 0.84 is 0.79955
- But we are interested in x > 750,000, we need the area to the
right of z-score
∴ P(x > 750,000) = 1 - 0.79955 = 0.2005
∴ P(x > 750,000) = 0.2005 × 100% = 20.1%
The probability that on a randomly selected day, the jail population is
greater than 750,000 is 20.1%
b.
We will find z-score for 600,000 < x < 700,000
∵ z = ≅ -2.04
∵ z = ≅ -0.12
Use the normal distribution table of z to find the area between
the two z-values
∵ The corresponding area to z-score of -2.04 is 0.02068
∵ The corresponding area to z-score of -0.12 is 0.45224
- To find P(600,000 < x < 700,000) subtract the two values above
∴ P(600,000 < x < 700,000) = 0.45224 - 0.02068 = 0.4316
∴ P(600,000 < x < 700,000) = 0.4316 × 100% = 43.2%
The probability that on a randomly selected day, the jail population is
between 600,000 and 700,000 is 43.2%
Learn more:
You can learn more about z-score in brainly.com/question/7207785
#LearnwithBrainly
Simple...
you have:
and
To solve for....
Multiply to remove the denominator-->>
n=12*3
n=36
Then-->>>
Do the same thing-->>
n=-12*3
n=-36
Thus, your answer.
you have:
and
To solve for....
Multiply to remove the denominator-->>
n=12*3
n=36
Then-->>>
Do the same thing-->>
n=-12*3
n=-36
Thus, your answer.