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Natasha2012 [34]
3 years ago
8

The Probability that itai catches the bus is 1/3 and the probability that Farai catches the bus is 1/4, Find the Probability tha

t:
i.) Both of them catches the bus (3 marks).
ii.)Both of them misses the bus (3 marks).
iii.)Just one of them misses the bus (3 marks).
Mathematics
1 answer:
faust18 [17]3 years ago
3 0
2/7, 0/7, 1/3 or 1/4 since we are not sure who catches the bus
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Swimming Pool On a certain hot​ summer's day, 143 people used the public swimming pool. The daily prices are $ 1.25 for children
kramer

Answer: 102 children and 41 adults swam at the pool that day.

Step-by-step explanation:

Let x represent the number of children that swam at the public pool that​ day.

Let y represent the number of adult that swam at the public pool that​ day.

On that certain hot​ summer's day, 143 people used the public swimming pool. It means that

x + y = 143

The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $219.75. It means that

1.25x + 2.25y = 219.75- - - - - - - - -1

Substituting x = 143 - y into equation 1, it becomes

1.25(143 - y) + 2.25y = 219.75

178.75 - 1.25y + 2.25y = 219.75

- 1.25y + 2.25y = 219.75 - 178.75

y = 41

x = 143 - y = 143 - 41

x = 102

5 0
3 years ago
Find all solutions in the region [0,2pi) for the equation cos^2(2x)-sin^2(2x)=0
Lynna [10]
\cos^{2}(2x)-\sin^{2}(2x)=0
\rightarrow \sin^{2}(2x)=\cos^{2}(2x)
\rightarrow \frac{\sin^{2}(2x)}{\cos^{2}(2x)}=1
\rightarrow \tan^{2}(2x)=1
\rightarrow \tan(2x)=\pm 1

2x can range anywhere in [0, 4\pi)
So:
\rightarrow 2x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}, \frac{9\pi}{4}, \frac{11\pi}{4}, \frac{13\pi}{4}, \frac{15\pi}{4}
\rightarrow x=\frac{\pi}{8}, \frac{3\pi}{8}, \frac{5\pi}{8}, \frac{7\pi}{8}, \frac{9\pi}{8}, \frac{11\pi}{8}, \frac{13\pi}{8}, \frac{15\pi}{8}
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3 years ago
Express the function graphed on the axes below as a piecewise function.<br><br> Please helppp!
Scilla [17]
It has multiple functions but it should be close to the middle
3 0
3 years ago
How do you triple rhe surface area of a cone
Gelneren [198K]
Increase the height so that the slant height triples.

For example:
  Say that lateral height is 2 and the radius is 1. The lateral surface area would be 6.28

 if I make the lateral height 6, which is triple the original lateral height, the lateral surface area becomes 18.84, which is triple the original surface area

Hope I help :P

3 0
3 years ago
Reduce 45/36 fraction into the <br> lowest terms.<br>​
Keith_Richards [23]

Answer:

\frac{5}{4}

8 0
3 years ago
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