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2 years ago

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Jason ran for 5 miles. He ran the first 3 miles at an average rate of 8 miles per hour, and then he ran the final 2 miles at an

average rate of 6 miles per hour. What is Jason’s average speed for the entire 5 miles?

1 answer:

sertanlavr [38]2 years ago

3 0

Answer:

Step-by-step explanation:

jason ran the first 3 miles at 8mil/hr ie; so it took him 3/8 hrs to run 3 miles.

jason ran the final 2 miles at 6mil/hr ie; it took him 2/6 hrs to run 2 miles

the total time he took to run 5 miles will then be; $\frac{3}8} +\frac{2}{6} = \frac{17}{24}hrs$

if we divide distance/time we get his speed/velocity;

ie, 5/(17/24) = 6.47mil/hr

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$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

(b)

$P(3 \le x \le 6) = 0.30$

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Step-by-step explanation:

Given

$F(x) = \left[\begin{array}{ccc}0& x$

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

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The x values are gotten by considering where the equality sign is in each range.

$1 \le x < 3$ means $x = 1$

$3 \le x < 4$ means $x = 3$

$4 \le x < 6$ means $x=4$

$6 \le x < 12$ means $x = 6$

$12 \le x$ means $x = 12$

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This is calculated as:

$P(3 \le x \le 6) = F(6) - F(3-)$

From the given function

$F(6)= 0.60$

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So:

$P(3 \le x \le 6) = 0.60 - 0.30$

$P(3 \le x \le 6) = 0.30$

$(ii)\ P(4 \le x)$

This is calculated as:

$P(4 \le x)=1 - F(4-)$

$P(4 \le x)=1 - F(3)$

$P(4 \le x)=1 - 0.40$

$P(4 \le x)=0.60$

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2 years ago

Ne v er mind ignore this comment and get points for free

stepladder [879]

Hello, if you do not have a question, than please do not post this.
Thanks!

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$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's simplify ~

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$\qquad \sf \dashrightarrow \:2 - 11i$

Therefore, A is the Correct choice !

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