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Wittaler [7]
3 years ago
13

Record for Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 seconds.

Mathematics
1 answer:
aleksley [76]3 years ago
8 0
1 hr 18 minutes and 27 seconds hmmm

there are 60 minutes in 1 hr, thus 18 minutes is 18/60 hrs or 0.3hr.

so 1hr 18min is 1.3 hrs

there are 60 seconds in 1 minute and 60 minutes in 1 hr, thus 60*60 seconds in 1hr, or 3600 seconds, so, 27 seconds is just 27/3600 hrs, or 0.0075 hrs.

so, 1.3 hr or 1.3000 hr for that matter plus 0.0075, is just 1.3075 hrs.

a)

so, they covered 26.2 miles in 1.3075 hrs, so the average speed is just 26.2/1.3075, or about 20.0382409177 miles/hr

b)

\bf \begin{array}{ccll}
miles&hrs\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
26.2&1.3075\\
30&h
\end{array}\implies \cfrac{26.2}{30}=\cfrac{1.3075}{h}\implies h=\cfrac{1.3075\cdot 30}{26.2}

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Kendra earns $70 per week mowing lawns. She saves 60% of the money she earns each week. How many weeks will it take Kendra to sa
katrin [286]

Answer:

5 weeks

Step-by-step explanation:

Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.

To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60

Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:

(70)(.6) = 42

Therefore, Kendra saves $42 each week.

To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:

(210)/(42) = 5

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Read 2 more answers
F(3) if f(x) = 2x + 4
Sliva [168]
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2 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf
6 0
3 years ago
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