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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:
brainly.com/question/12421652
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Answer:
D) $11,499.63
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 4% into a decimal:
4% -> 
-> 0.04
Since the interest is compounded 6 times a year, we will use 6 for n. Lets plug in the values now:
Your answer is D) $11,499.63
The first thing to do is to clear t from both expressions and compare the value to verify if it is the same:
Expression 1:
sin t = .3
t = arcsin (0.3)
t = 0.3047
Expression 2:
cos t = .48
t = arccos (0.48)
t = 1.0701
Both expressions have a different value of t, therefore, both expressions do not satisfy the same number t.
answer:
It is not possible for the same value of t to be met: sin t = .3 and cos t = .48
A steel cylinder with a moveable piston on top is filled with helium (He) gas. The force that the piston exerts on the gas is constant, but the volume inside the cylinder doubles, pushing the piston up.
Which of the following answers correctly states the cause for the change described in the scenario?
The temperature increased.The density of the helium atoms decreased.The pressure decreased.The helium atoms increased in size.
