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Brut [27]
2 years ago
14

Given two dice, what is the probability of rolling a four on the second die, given that you already rolled a four on the first d

ie?​
Mathematics
1 answer:
Sholpan [36]2 years ago
8 0

Answer:   1/6

Reason:

There's 1 side labeled "4" out of 6 sides total. So that's where the 1/6 comes from.

The "given that you already rolled a four on the first die" is unneeded info in my opinion, because each die is separate or independent from one another.

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When is the equation logaa^k=k true
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That is, log x = k if and only if 10 k = x.

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What is the area of the red region?
Nitella [24]

Answer:

≈ 57.13cm^{2}

Step-by-step explanation:

Area of Circle:

A = π r^{2}

π (4)^{2}

π (16)

≈ 50.27cm^{2}

Area of Square:

A = l(w)

8(8) = 64 cm^{2}

Area of each corner:

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3 0
2 years ago
Calculate the probability of needing at least 5 tosses of an unbiased coin to land a head.
Gnom [1K]

Answer:

0.03125

Step-by-step explanation:

If we have a fair coin the probability of landing a head is 50%.

We can think the question as what is the probability of landing four tails and then a head. That is we needed at least 5 tries to get a head.

Prob \{ T,T,T,T,H\}

Since this events are independent we can write it as

Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ H\} =.5^5= 0.03125

4 0
2 years ago
A person invest $1800 in a account that earns 2.46% annual interest. Find when the value of the investment teachers $3500
GrogVix [38]

Answer:

28 years

Step-by-step explanation:

To find the number of years that the investment will reach $3500, we can use the formula of compound interest:

P = Po * (1+r)^t

where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.

In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:

3500 = 1800 * (1+0.0246)^t

1.0246^t = 3500/1800

1.0246^t = 1.9444

Using logarithm in both sides:

log(1.0246^t) = log(1.9444)

t*log(1.0246) = 0.2888

t * 0.0106 = 0.2888

t = 0.2888 / 0.0106 = 27.2453 years

So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)

4 0
2 years ago
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