Use the given information to determine if TU ||QS.<br> Answer with a simple yes or no.

pav-90 [236]

I’m not exactly sure but I think it is G

4 0

3 years ago

jill is thinking of a new password for her phone. She wants to use the numbers 7, 1, and 8. How many different passwords could s

lara31 [8.8K]

7 1 8 You can also calculate this using the Fundemental Counting Principle, just do 3*2*1 which is 6 passwords
7 8 1
8 1 7
8 7 1
1 7 8
1 8 7

3 0

3 years ago

How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Nesterboy [21]

So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}$

which is roughly 18 inches rounded up.

5 0

3 years ago

Three consecutive integers add to 567. Find the integers. PLEASE HELP

Aleks04 [339]

Consecutive integers mean one after the other and their difference would one more or less.

Let the numbers be x, x +1, x +2.

Therefore x + (x+1) + (x +2) = 567
   3x + 3 = 567
   3x = 567 -3 = 564
   3x = 564 Divide by 3.
   x = 564/3
   x = 188
Therefore integers x, x +1, x +2 = 188, 188+1, 188+2.
      = 188, 189, 190.
Cheers.

7 0

3 years ago

Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of

tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For this problem, the parameters are given as follows:

$\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743$

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

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

By the Central Limit Theorem

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

$Z = \frac{16 - 15}{0.4743}$

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

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

$Z = \frac{15 - 15}{0.4743}$

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0

2 years ago

Use the given information to determine if TU ||QS. Answer with a simple yes or no.