The points are all over the place
No association
Answer:
x=125
Step-by-step explanation:
To solve we must find a number that when divided by 5 equals 25.
To do this we can either...
Take each answer choice and plug in the value into the x spot and see if it works...
5/5=25 WRONG
10/5=25 WRONG
25/5=25 WRONG
125/5=25 CORRECT!
ORRR... we can set the equation so that the x is alone on one side.
To do this we can multiply both sides by 5
=25 ---> x=25×5
x=125
Answer:
145.5 ft
Step-by-step explanation:
Since 1 inch = 75 feet, we can use this same equation and mutliply 19.4 inches on both sides:
1(19.4) = 75(19.4)
We can than simplify both sides to find our answer:
19.4 = 145.5
And don't forget to identify the unit:
145.5 ft (feet)
Answer: −1.409
Step-by-step explanation:
Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013
Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118
Probability of other draw: 1 - 0.013 - 0.118 = 0.869
0.013 * (50 - 5) = 0.585
0.118 * (25 - 5) = 2.353
0.869 * (0 - 5) = -4.347
Expected value: 0.585+ 2.353 - 4.347 = -1.409
<em>m∠LNM = 54°</em>
<u><em>Here is why:</em></u>
In this photo there are two important angles with very important features, a central angle and an inscribed angle.
A central angle is an angle that is in the center of the circle, so angle P is a central angle. The arc that is associated with this angle is going to be the same measure as the central angle. I have labeled this in the photo below as <u>blue</u>.
An inscribed angle is an angle that lies on the circle, so angle N is an inscribed angle. The arc that is associated with this angle will be double the amount of the inscribed angle, or the angle is half of the measure of the arc. I have labeled this in the photo below as <u>red</u>.
Since we know that the central angle is 108°, with what we know about central angles we know that arc LM is going to be 108° as well.
We also know that an inscribed angle is half the amount of the arc so...
108 ÷ 2 = 54
<em><u>m∠LNM = 54°</u></em>