The value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.
<h3>What is a normal distribution?</h3>
It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have a probability distribution shown in the table:
P(2 < X ≤ 4)
We have to find the probability between 2 and 4
P(2 < X ≤ 4) = P(x =3) + P(x = 4)
From the table
P(x =3) = 0.10
P(x = 4) = 0.04
P(2 < X ≤ 4) = 0.10 + 0.04 = 0.14
Thus, the value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.
Learn more about the normal distribution here:
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Answer:
123°, 57°, 123°
46°, 90°
Step-by-step explanation:
28. m∠L=57° ⇒ opposite angle m∠J=m∠L=57°
m∠M= m∠K= 180° -m∠L= 180° - 57°= 123°
29. m∠W= m∠X= 90°
m∠Y= 180° -m∠W= 180° - 134°= 46°
Place each triangle in a fraction (side over side), and set each equal to each other.
6/9 = x/15
Isolate the x, cross multiply
6(15) = 9(x)
Simplify.
90 = 9x
Isolate the x, divide 9 from both sides
90/9 = 9x/9
x = 90/9
x = 10
Find the scale factor, find out what number is being multiplied to make the measurements become from one number to the other. Divide one of the larger triangle's sides with the smaller.
15/9 = 1.67 (rounded).
The scale factor is ~1.67
hope this helps
