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2 years ago

Can someone help me with this problem please

Mathematics

1 answer:

Makovka662 [10]2 years ago

6 0

Answer:

Circumference=2πr or πd

So:

3.14 × 6cm

=18.84cm

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sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose th

blagie [28]

Answer:

$\frac{dv}{dt} =7239.168 cm/sec$

Step-by-step explanation:

From the question we are told that:

Rate $\frac{dh}{dt}=1cm$

Height $h=12cm$

Radius $r=4h$

Generally the equation for Volume of Cone is mathematically given by

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

$V=\frac{1}{3}\pi (4h)^2h$

Differentiating

$\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}$

$\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1$

$\frac{dv}{dt} =7239.168 cm/sec$

7 0

3 years ago

Cadie is going to toss three coins simultaneously. What is the probability that exactly two of the coins will land on heads?

Contact [7]

For each coin, there are 2 outcomes, heads (H) or tails (T), so for the 3 coins, the number of outcomes are:

2 x 2 x 2 = 8 outcomes:

HHH / HHT / HTH / THH / TTT / TTH / THT / HTT

Out of all these outcomes, there are 3 ways, we get exactly 2 Heads:

HHT / HTH / THH

So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375

4 0

3 years ago

You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounde

Mademuasel [1]

Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

$A= P(1+t)^t$

Inserting our values to solve for A we have

$A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70$

5 0

3 years ago

Find the probability of each event. A gambler places a bet on a horse race. To win, he must pick the top three finishers in any

Lina20 [59]

Answer: $\dfrac{1}{56}$

Step-by-step explanation:

Total horses = 6

Number of ways to choose top 3 finishers in order = 3! = 6

Number ways to select 3 horses out of 8 in order = $^8P_3$ [By permutations]

$=\dfrac{8!}{(8-3)!}=\dfrac{8!}{5!}=8\times7\times6=336$

Now, the probability that the gambler will win his bet =

$\dfrac{\text{Number of ways to choose top 3 finishers }}{\text{Number ways to select 3 horses out of 8 in order}}$

$=\dfrac{6}{336}\\\\=\dfrac{1}{56}$

Hence, the required probability = $\dfrac{1}{56}$

3 0

3 years ago

Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her

CaHeK987 [17]

Answer:

number of hours = 3 hours

Step-by-step explanation:

Let

x = number of hours

Casa Lucia = 200 + 500x

Silver Fox = 1,100 + 200x

To solve the equation, equate both cost of rent

Casa Lucia = Silver Fox

200 + 500x = 1,100 + 200x

200 - 1,100 = 200x - 500x

-900 = - 300x

x = -900 / -300

x = 3 hours

number of hours = 3 hours

The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.

It means both locations cost the same if rented for 3 hours each

3 0

3 years ago