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Over [174]
2 years ago
10

In a​ race, 49 out of the 50 bicyclists finished in less than 40 minutes. What percent of bicyclists finished the race in less t

han 40 ​minutes? Write an equivalent fraction to find the percent.
Mathematics
1 answer:
rewona [7]2 years ago
8 0

Answer:

24.5/25

Step-by-step explanation:

49/50 divided by 2 is 24.5/25

May not be correct but that's what I got

So I'd say 1%

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Taylor is building a brick patio. A diagram of the patio is shown. Which is the area of Taylor's patio?
Illusion [34]

Answer:

we need the diagram

Step-by-step explanation:

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3 years ago
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NO LINKS OR ASSESSMENT!!!<br>Part 6: Write a rule to describe each transformation.<br>​
Scrat [10]

Answer:

  • (x, y) → (x, y - 3)

Step-by-step explanation:

We observe a vertical shift.

The shift is negative by 3 units.

<u>The rule for this translation is:</u>

  • (x, y) → (x, y - 3)
6 0
2 years ago
Find the slope of the line. REMEMBER: Slopes must be simplified.
valentinak56 [21]

Answer: 2

Step-by-step explanation:

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2 years ago
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Round your answer to the nearest hundredth.<br><br> 13.48x − 200 &lt; 256.12
wolverine [178]

Answer:

<h2>x < 33.84</h2>

Step-by-step explanation:

13.48x − 200 < 256.12

Using the addition property , add 200 to both sides

That's

13.48x + 200 - 200 < 256.12 + 200

13.48x < 456.12

<u>Divide both sides by 13.48</u>

\frac{13.48x}{13.48}   <   \frac{456.12}{13.48}  \\ x  <  \frac{456.12}{13.48}  \\  \:  \:  \:  x  <  33.83679

We have the final answer as

x < 33.84 to the nearest hundredth

Hope this helps you

4 0
2 years ago
A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon
melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.  

X~ Uniform(0,100)

Then the probability mass function is given as follows.

f(x) = P(X=x) = 1/100  \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0  \,\,\,\, \text{otherwise}

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located  70 meters away from city A then the mid point between 20 and 70  is (70+20)/2 = 45 then we can represent D as follows

D(x) =\left\{ \begin{array}{ll}  x  & \mbox{if } 0\leq x \leq 20 \\  x-20 & \mbox{if } 20\leq x < 45\\                70-x & \mbox{if } 45 \leq x \leq 70\\                x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable Y = D(X), Y is a random variable as well, remember that there is a theorem that says that

E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx

Where f(x) is the probability mass function of X. Using the information of our problem

E[Y] = \int\limits_{-\infty}^{\infty}  D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx  \bigg]\\= \frac{51}{4} = 12.75

3 0
3 years ago
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