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Amiraneli [1.4K]
2 years ago
10

Fernando is playing basketball. He has made 18 free throws out of 30 attempts. At this rate, how many of Fernando's next 50 free

throws should he expect to make?

Mathematics
1 answer:
docker41 [41]2 years ago
3 0
The answer is 38/50 and there's the work^^

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An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = \frac{1}{2}

Work done in one day by Carpenter working alone = \frac{1}{C}

Work done in one day by apprentice working alone = \frac{1}{2C}

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 \times 2= <em>6 days</em>

4 0
2 years ago
What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and an
amm1812

C=90°, A=75°, b=AC=19, x=AB

Without a figure, we see AC is adjacent to angle A, so

cos A = AC/AB = b/x

x = b/cos A = 10 / cos 75° ≈ 38.637

Answer: 38.6

3 0
2 years ago
Read 2 more answers
A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from t
guajiro [1.7K]
Okay so probability is just percentage of a whole, right?

So you have 14 White Eggs + 15 Brown Eggs + 11 Lemons.

Add all those numbers together and you get your whole.

14 + 15 = 29    29+11 = 40

40 is your whole. 

So because you want to know how likely it is to pick up an egg, you would follow these steps.

100/40 = 2.5 (For each part of the 40, it is worth 2.5 percent.)

2.5 x 29 = 72.5

Your probability of picking an egg out of the bask is 72.5 percent or 72.5 out of 100. 
8 0
2 years ago
Read 2 more answers
Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
alexandr1967 [171]

Given :

A = 25000

P = 20000

r % = 9.6 % = 0.096

n = 12

To Find :

The time taken say t.

Solution :

We know, compound interest is given by :

A=P(1+\dfrac{r}{n})^{n.t}

Taking log both sides :

A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years

Hence, this is the required solution.

5 0
2 years ago
Which description best compares the graphs of the two functions below?
Pavlova-9 [17]
Some of your pic is cut off so it's difficult to give the exact answer.  But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2.  This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third.  Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.
7 0
2 years ago
Read 2 more answers
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