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3 years ago

Anybody know the answer?

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

( A u B) would be the combination of both sets.

Since both sets have all distinct numbers, just add the 2 sets together.

4 + 7 = 11

There are 11 elements.

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A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

4 years ago

Andrew has a salary of £250. He shares his salary with his sister in the ratio 2:3 every week. He saves 12% each week. How many

exis [7]

A = Andrew
S = Sister

A : S
2 : 3
2 + 3 = 5
250 ÷ 5 = 50
2 × 50 = 100
3 × 50 = 150

∴ A : S
100 : 150
So Andrew keeps £100 of his salary every week.

Of this, he saves 12%:
100 × (12 ÷ 100) = 12
So he saves £12 every week

360 ÷ 12 = 30
∴ it will take him 30 weeks to save £360.

6 0

3 years ago

If getting $1 for every correct answer on this test makes you study harder for the next test, then being given $1 is a form of _

Anastaziya [24]

Hello there,
<span>positive reinforcement is the answer

Hope this helps ^_^

~Top
</span>

5 0

4 years ago

A set of 7,500 scores on a test are distributed normally, with a mean of 23 and a standard deviation of 4. To the nearest intege

Fynjy0 [20]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Pete is a very good student . The probability that he studies for his test and then passes it is 7/10 If the probability that Pe

antiseptic1488 [7]

Answer:

The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80

Step-by-step explanation:

Let the event that Pete studies be S.

Let the event that Pete passes the test be P.

The probability that he studies for his test and then passes it is P(S n P) = 7/10

The probability that Pete studies is P(S) = 7/8

The probability that Pete passes his test given that he studied = P(P|S)

The conditional probability, P(A|B) is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

So, the required probability, P(P|S) will be

P(P|S) = P(P n S) ÷ P(S)

P(P n S) = P(S n P) = (7/10)

P(S) = (7/8)

P(P|S) = P(P n S) ÷ P(S)

= (7/10) ÷ (7/8)

= (7/10) × (8/7)

= (8/10) = (4/5) = 0.80

The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80

Hope this Helps!!!

3 0

3 years ago