Step-by-step explanation:
71°
give me the brainlist
<u>Given</u>:
Given that K is the center of the circle.
The measure of ∠NLQ is 44°
The measure of arc MP is 60°
We need to determine the measure of arc NQ
<u>Measure of arc NQ:</u>
Let us apply the property that, "if the measure of an angle formed by two secants drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs".
Thus, we have;
![\angle NLQ= \frac{\widehat{NQ} - \widehat{MP}}{2}](https://tex.z-dn.net/?f=%5Cangle%20NLQ%3D%20%5Cfrac%7B%5Cwidehat%7BNQ%7D%20-%20%5Cwidehat%7BMP%7D%7D%7B2%7D)
Substituting the values, we have;
![44^{\circ}=\frac{\widehat{NQ}-60^{\circ}}{2}](https://tex.z-dn.net/?f=44%5E%7B%5Ccirc%7D%3D%5Cfrac%7B%5Cwidehat%7BNQ%7D-60%5E%7B%5Ccirc%7D%7D%7B2%7D)
![88^{\circ}=\widehat{NQ}-60^{\circ}](https://tex.z-dn.net/?f=88%5E%7B%5Ccirc%7D%3D%5Cwidehat%7BNQ%7D-60%5E%7B%5Ccirc%7D)
Adding both sides by 60, we get;
![148^{\circ}=\widehat{NQ}](https://tex.z-dn.net/?f=148%5E%7B%5Ccirc%7D%3D%5Cwidehat%7BNQ%7D)
Thus, the measure of arc NQ is 148°
Ratio of boys to girls = 1 : 3
Unknown constant = x
x + 3x = 24
4x = 24
x = 6
No. of girls = 3 x 6 = 18
Answer:
0.02 or 2%
Step-by-step explanation:
Theoretical probability calculated by dividing the number of events you want to calculate(green marble) with the total event possible(red + blue + green). There are 4 red marbles, 5 blue marbles, and 1 green marble. The probability will be: 1/(4+5+1)= 1/10= 10%
The result of the experiment is:
Red=22
Blue= 24
Green=4
Experimental probability calculated by dividing the number of events occurs with the total number of trials. We pull green 4 times and do 50x pulls, so the probability is: 4/50= 8%
Difference between the theoretical probability and the experimental probability is: 10%- 8%= 2%
Is there a graph or table for this question?