What is the true solution to In 20+In 5= 2 In x?#31​

Answer:

Step-by-step explanation:

To determine the slope, divide the rise by the run to calculate the slope.

Note that

1 ft = 12 in

Let

y ----> the rise

x ----> the run

m ----> the slope

the values are given as

substituting these values gives

Simplifying further

From AA3+2=AAA, it follows that 3+2 equals A, so A must be 5.
Given CC6+6=CBB, since 6+6 equals 12, the final digit has to be 2, making B=2. Additionally, adding 6 to 6 increases the tens digit by one, meaning B is one more than C, so C=1 (since 2-1=1). Therefore, ABC equals 521.

Answer:

The likelihood that Albert's sample of 64 will have a mean waiting time between 13.5 and 16.5 minutes is 0.9973.

Step-by-step explanation:

Prior concepts

A normal distribution is characterized as a "probability distribution that is symmetric around the mean, indicating that data close to the mean are more frequent than those further away".

The Z-score refers to "a statistical measurement that reflects the relationship of a value to the mean of a group, measured in standard deviations".

Let X denote the random variable of interest, and we identify its distribution:

Also, let signify the sample mean, whose distribution is:

In this case,

Solution to the problem

We seek this probability

Applying the Z-score formula to the probability results in:

To determine these probabilities, we can refer to normal distribution tables, use Excel, or a calculator.

The likelihood that Albert's sample of 64 will have a mean waiting time between 13.5 and 16.5 minutes is 0.9973.

Answer:

In approximately 81 days, it is likely that the teacher on bus duty will be certified in CPR

Step-by-step explanation:

The probability of a teacher obtaining certification in Cardio-Pulmonary Resuscitation (CPR) is as follows:

36 out of 80

Hence

In a school year lasting 180 days, how many days can we anticipate that the teacher on bus duty will likely have CPR certification?

45% of the time

0.45 multiplied by 180 results in 81 days

In approximately 81 days, it is likely that the teacher on bus duty will be certified in CPR

A geometric sequence models the bounce heights:
Use the formula
A (subscript n) = Ar(n-1)
a = the first-term value
n = the index of the term you want (for the fourth peak, n = 4) 
r = common ratio, found by dividing the second term by the first
Here r = 18/27 = 2/3 because 27×(2/3) = 18, and similarly 18×(2/3) = 12
For the fourth peak n = 4
Compute: 4th term = 27(2/3)^(4-1) = 8
Therefore the height at the fourth peak is 8