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Lady bird [3.3K]
3 years ago
5

In a group of 120 pupils , 80 can play drums and 25 play piano . How many pupils can play both instruments if there are 3 pupils

who can play neither.
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

  • 12 pupils

Step-by-step explanation:

<u>Number of pupils can play either instrument:</u>

  • 120 - 3 = 117

<u>Number of those can play both:</u>

  • 117 - (80 + 25) = 12
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Three coins are flipped
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Answer:

probability of getting no heads: 1/ 8

probability of at least two tails: 1/4

Step-by-step explanation:

To calculate the probability of getting no heads, multiply the probability of not getting heads for each coin. A coin has two sides: heads and tails; the probability of not getting heads would be 1/2.

1. Multiply the probabilities for each coin

1/2 · 1/2 · 1/2 = 1/8

To calculate the probability of getting at least two tails, multiply the probability of getting tails for two coins and the probability of flipping either heads or tails for the remaining coin. Because it is at least two tails, the remaining coin can flip to either heads or tails.

1. Multiply the probabilities for each coin

1/2 · 1/2 · 2/2 = 1/4

5 0
3 years ago
Solve the following expression: 4 (r - 8 ) when r + 10<br><br> 8<br> 2<br> 72<br> 6
wolverine [178]

Answer:

The answer is 8

Step-by-step explanation:

if R is equal to 10, the you subtract 10-8 which is two and multiply by four.

4 0
3 years ago
I really dont know how to start this Calculus 1 question!
hichkok12 [17]

According to the given plot, f'(1)=2. Then the linear approximation to f(x) at x=1 is

L(x)=f(1)+f'(1)(x-1)=6+2(x-1)=2x+4

Then

f(0.95)\approx L(0.95)=5.9

f(1.05)\approx L(1.05)=6.1

On the interval [0, 1], the plot of f'(x) is positive, so f(x) is an increasing function here. But we can see that f'(x) is approaching 0. This means tangent lines to f(x) have a positive slope, but the slopes are approaching 0 and are thus becoming less steep. This in turn means the tangent lines lie above the curve, so the approximations are greater than the actual values of f(0.95) and f(1.05).

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In places where there are crickets, the outdoor temperature can be predicted by the rate at which crickets chirp. One equation t
irina1246 [14]

Answer:

See explanation

Step-by-step explanation:

This question requires a list of options.

Since, there are none; I'll give a general explanation to answer this.

We have that:

f = 14c + 40

The general format of an equation in terms of f and c is:

f = mc + b

Where

m = slope and b = y\ intercept

A true statement about the function above is:

The slope of the equation is 14

This means that at every minute, there's an additional 14 chirps from the cricket.

Another true statement about the function is that:

The y intercept is 40.

This means that the initial number of chirps by the cricket is 40

i.e. At time, c = 0 minutes.

There are 40 chirps.

A likely question could be to determine the number of chirps in (say) 5 minutes.

This means that:

c= 5

Substitute 5 for c in f = 14c + 40

f = 14 * 5 + 40

f = 70 + 40

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This implies there are 110 chirps in 5 minutes

8 0
3 years ago
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Consider a binomial experiment. If the number of trials is increased, what happens to the expected value
Aliun [14]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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