What number can replace c

How do you know where a line of reflection is in an art piece?

pogonyaev

Answer:

Step-by-step explanation:

at the center of it's gravity

4 0

3 years ago

Read 2 more answers

Sodium-24 has an hourly decay rate of about 5%. How many grams of a 900 g sample will remain after 90 hours? Round the answer to

Yuki888 [10]

$\bf \qquad \textit{Amount for Exponential change}\\\\
A=P(1\pm r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{starting amount}\to &900\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
t=\textit{elapsed period}\to &90\\
\end{cases}
\\\\\\
A=900(1-0.05)^{90}$

5 0

3 years ago

Read 2 more answers

25 points. Need help

mash [69]

Answer:

BD = 21 units

Step-by-step explanation:

By applying mean ratio theorem in the given triangle ABC,

$\frac{AD}{BD}=\frac{BD}{CD}$

AD × CD = BD²

21 × 21 = BD²

BD² = (21)²

BD = 21

Therefore, measure of segment BD is 21 units.

7 0

3 years ago

The time it takes a customer service complaint to be settled at a small department store is normally distributed with a mean of

noname [10]

Answer:

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 10 minutes and a standard deviation of 3 minutes

This means that $\mu = 10, \sigma = 3$

Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.

This is 1 subtracted by the p-value of Z when X = 15, so:

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

$Z = \frac{15 - 10}{3}$

$Z = 1.67$

$Z = 1.67$ has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

5 0

3 years ago

(15 POINTS) A student is chosen at random from a school. Why are the events "choosing a student of age group 5−10" and "choosing

Sati [7]

In probability, you study the chances, odds or likelihood of the event occurring. This is determined by dividing the number of possibilities to the total number of events. But terms may come up such as 'mutually exclusive'. Suppose, event A is for students ages 5-10, while event B is for students ages 11-15. The events A and B are said to be mutually exclusive when they do not intersect or meet at some point. In other words, when a student is in group A, he cannot be in group B because that becomes invalid and untrue. That seems logical because a student cannot be both 6 years old and 12 years old, right?

Hence, the answer to this question is letter C.

4 0

4 years ago

Read 2 more answers