Answer: 2.2532
Step-by-step explanation:
From the table attached :
Expected probability = sum of p(x) * x ; wher P-X) is the probability of x
E(p(x), x) = (0*0) + (1 * 0.06) *(2*0.1) + (3 * 0.16) * (4 *0.16)+ (5*0.26) * (6 *0.08) + (7 * 0.13) + (8 * 0.05)
Pp(x) * x) = 2.2532
Therefore, the expected value of the distribution is 2.2532
Based on the calculations, the length of side AB is equal to 13.93 units.
<h3>How to find the length of AB?</h3>
Since the points of tangency are at A and B, we would determine the side length of the point lying between side A and D as follows:
AM = AD - BC
AM = 7 - 2
AM = 5 units.
Now, we can determine the length of side AB by applying Pythagorean's Theorem:
AB² = BM² + AM²
AB² = 13² + 5²
AB² = 169 + 25
AB = √194
AB = 13.93 units.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Answer:
The value of y = 70°
Step-by-step explanation:
∵ The measure of the major arc = 160 + 60 = 220°
∵ The measure of the circle is 360°
∴ The measure of the minor arc = 360 - 220 = 140°
∵ y is the angle between a chord and a tangent
∵ The chord subtended by the arc of measure 140°
∵ y is subtended by the arc of measure 140°
∵ Angle of tangent subtended by an arc,
its measure = half the measure of the subtended arc
∴ The measure of y = 1/2 the measure of the subtended arc
∴ y = 1/2 × 140 = 70°
It’s the one that says +3
Answer:
6/8 simplified form 3/4
Step-by-step explanation:
Given: 3/8 + 1/8 + 2/8
Here we have to find the sum of the fractions.
All the fractions are like fractions.
So we can add the numerators and keep the denominator as it is. (We should not add the denominator)
Therefore,
3/8 + 1/8 + 2/8 = (3 + 1 + 2)/8
= 6/8
We can simplify this fraction by dividing both the numerator and the denominator by 2.
= 6/8
= 3/4
Hope this is will help you to understand the concept.
Thank you.
