What is the surface area of this rectangular prism?

Find the value of ln(-7).

const2013 [10]

Answer:

A

Step-by-step explanation:

Here, we want to find the value of ln (-7)

ln is same as Log to base e and mathematically , we have it for positive numbers only

For that of negative numbers, we get undefined results

However, by the use of special mathematical

methods, we have the answer for ln (-7) as;

1.94591015 + 3.14159265 i

As we can see, for the second part, the value for the coefficient of the complex number is pi and thus, we have the correct option as A

4 0

3 years ago

Suppose that the IQs of university A's students can be described by a normal model with mean 150150 and standard deviation 77 p

NeX [460]

Answer:

The probability that the student's IQ is at least 140 points is of 55.17%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

University A: $\mu = 150, \sigma = 77$

a) Select a student at random from university A. Find the probability that the student's IQ is at least 140 points.

This is 1 subtracted by the pvalue of Z when X = 140. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{140 - 150}{77}$

$Z = -0.13$

$Z = -0.13$ has a pvalue of 0.4483.

1 - 0.4483 = 0.5517

The probability that the student's IQ is at least 140 points is of 55.17%.

3 0

3 years ago

x2 - 10x + _ "find value that completes the square and rewrite as perfect square" what does it mean by "rewrite as perfect squar

abruzzese [7]

A perfect square is something times that same thing. Example (x+2)(x+2)

The reason it's called a perfect square is because it can be re-written as a squared function:

$(x+2)(x+2) = (x+2)^{2}$

8 0

3 years ago

Read 2 more answers

5. To get to the library from his house, Robert biked 6 kilometers due east and then

AURORKA [14]

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

The two shorter segments are the two legs, and
The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

$\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}$ .