When you solve proportions, you have to cross multiply.
9 x
--- = --- Multiply each numerator by the opposite denominator.
11 22
(9)(22) = 11x Then, multiply.
198 = 11x Then, divide.
18 = x
Answer:
<u>B</u><u>.</u><u>2</u><u>:</u><u>3</u>
Step-by-step explanation:
hope it helps brainliest me please
Answer:
<h3>X = 142°</h3><h3>Y = 38° </h3>
<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em> AC is parallel to DE
angle 3y + 28 = angle X ( Vertically opposite angles are equal).
3y + 28 = X
X + Y = 180° ( supplementary angles).
3y - X = (-28)
Solving both the equation we get
multiply eq 1 with 3
3x + 3y = 540
-X + 3y = (-28)
subtracting
4x = 568
x = 142°
3y + 28 = 142
3y = 142 - 28
3y = 114
y = 38°
5.99(1.75)= 10.4825
10.4825 to the nearest hundredth is 10.48
$10.48
<h3>
Answer: 20 </h3>
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Reasoning:
The empirical rule says that about 68% of the population is within 1 standard deviation of the mean. This applies to the normal distribution.
The mean in this case is 72 and the standard deviation is 7.
One standard deviation below the mean is 72-7 = 65, while one standard deviation above the center point is 72+7 = 79. This is visually shown as the closest tickmarks to the center 72. Each tickmark represents a unit of standard deviation (eg: 85 is two standard deviations above the mean, since it's 2 tickmarks above 72).
Saying "within 7 points of the mean" therefore is the same as saying "the score is between 65 and 79, inclusive of both endpoints".
So you're teacher is asking how many students got between 65 and 79. As mentioned at the very top, roughly 68% of the population fits this description.
Meaning,
68% of 30 = 0.68*30 = 20.4 = 20 students got a quiz score within seven points of the mean.
