What is Log 32 (16)= 4/5 in exponential form

The probability of at most three boys in ten births is approximately 0.17139, or about 17.14%.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

This is a binomial probability problem with n = 10 (number of births) and p = 0.5 (probability of a boy or a girl).

We want to find the probability of at most three boys in ten births, which is equivalent to finding the probability of 0, 1, 2, or 3 boys.

To calculate this probability, we can use the binomial probability formula:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= 0.00098 + 0.00977 + 0.04395 + 0.11719

= 0.17139

Therefore, the probability of at most three boys in ten births is approximately 0.17139, or about 17.14%.

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Answer:

Step-by-step explanation:

This is a binomial distribution

The probability of at most 3 boys=

P(exactly 0 boys)+P(exactly 1 boy)+P(exactly 2 boys)+P(exactly 3 boys)

.171875

Answer:

C) 35 square cm

Step-by-step explanation:

(6+8)/2=7

7x5=35

Answer:

2.84>2.77

0.01<0.6

3.69<7.19

Step-by-step explanation:

Answer:

V= 22-2t

Step-by-step explanation:

I guess the alphabet should be v instead of y. So I am working using v

The rate at which water is draining from the tank is 2gallons/hour. This is the rate of water removal from the tank. So after an hour, 2 × 1= 2 gallons would have drained. After 5 hours, 2×5 =10 gallons would have drained

Therefore to obtain the amount of water in gallons that have been removed from the tank, you will multiply the rate by the time in hours after which the draining started.

Amount (gallons) =2×t

The amount of water remaining in the tank will be obtained by subtracting the amount of water drained after some hour (2×t) from the initial amount of water in the tank (22)

Therefore, the amount of water present in the tank (v)= 22-2t or 2(11-t) gallons

Final answer:

The formula to express volume of the water v in terms of time t is v = 22 - 2t, where 22 is the initial volume and 2t represents the rate at which the water is draining.

Explanation:

This problem is a mathematical representation of a real-world scenario using a linear equation. The volume of water v in the tank can be represented in terms of time t through the equation v = 22 - 2t. This equation illustrates the initial volume of water in the tank (22 gallons) and accounts for the constant rate at which the water is draining (2 gallons per hour).

When time t = 0 (meaning no time has passed since the water started draining), the volume of water v = 22 (the initial volume). As time increases, the volume gradually decreases at a rate of 2 gallons per hour, represented by the term -2t.

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Answer:

12:15

Step-by-step explanation: