Answer:
Step-by-step explanation:
Given
The given parameters show that P is a point between O and Q.
So:
Substitute values for OP, PQ and OQ
--- This is an equation
Collect Like Terms
------ This is another
Make x the subject
<span>A random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selected from the distribution, determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.</span>
<span>50 = 5 × 10 + 0 × 1 (5
in the tens place, and 0 in units). </span><span>
<span>We can write each place as a power of ten: </span>
<span>50 = 5 × 10^1 + 0 × 10^0 </span>
<span>Similarly for hexadecimal and binary, but then
using powers of 16 and 2 respectively. </span>
<span>We need to find the digits of the hexadecimal
form. Or in other words, we need to find a and b: </span>
<span>50 = a × 16 + b × 1 </span>
<span>Simply divide 50 by 16 will get you a with some
remainder, which is a multiple in units, and thus b: </span>
<span>50 / 16 = 3 (=a), remainder 2. </span>
<span>[2 / 1 = 2 (=b), remainder 0] </span>
<span>Thus 50 in hexadecimal is "32". </span>
<span>For binary, we need to do the division a couple of
times more to find all digits. </span>
<span>50 = a × 32 + b × 16 + c × 8 + d × 4 + e × 2 + f ×
1 </span>
<span>50 / 32 = 1 (=a), remainder 18 </span>
<span>18 / 16 = 1 (=b), remainder 2 </span>
<span>2 / 8 = 0 (=c), remainder 2 </span>
<span>2 / 4 = 0 (=d), remainder 2 </span>
<span>2 / 2 = 1 (=e), remainder 0 </span>
<span>[0 / 1 = 0 (=f), remainder 0] </span>
<span>We find that 50 in binary is "110010".</span></span>
The length of the measure of YZ is 80cm
<h3>Perpendicular lines</h3>
Perpendicular lines are lines that are at angle 90 degrees to each other. From the given diagram;
WX = 82cm
Required
Length. of YZ
Using the pythagoras theorem
YV = VZ = √41²-9²
YV = VZ = √1600
YV = VZ = 40
Since YZ = YV + VZ
YZ = 40cm + 40cm
YZ= 80cm
Hence the length of the measure of YZ is 80cm
Learn more on perpendicular lines here: brainly.com/question/1202004
#SPJ1
Hey there!
If there are 5 choices for a hairstyle, that means that there are 5 options per 1 eye color. This totals out to 15 options (3 × 5) total for eye color and hairstyle combinations.
For each of those combinations, there are an additional 7 options for an outfit. That means that there is a total of 105 options (7 × 15) available to choose from.
Hope this helped you out! :-)