The percent of the parcels weighed between 12 ounces and 30 ounces will be 81.86%. And the percentage of the parcels weighing more than 42 ounces will be 0.13%
<h3>What is a normal distribution?</h3>
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 24 ounces and a standard deviation of 6 ounces.
Then the percent of the parcels weighed between 12 ounces and 30 ounces will be
When x = 12, then we have
z = (12 - 24) / 6
z = -2
When x = 30, then we have
z = (30 - 24) / 6
z = 1
Then we have
P(12 < x < 30) = P(-2 < z < 1)
P(12 < x < 30) = 0.81859
P(12 < x < 30) = 81.86%
Then the percentage of the parcels weighing more than 42 ounces will be
When x = 42, then we have
z = (42 - 24) / 6
z = 3
Then we have
P(x > 42) = P(z > 3)
P(x > 42) = 1 - P(z < 3)
P(x > 42) = 0.0013499
P(x > 42) = 0.13%
More about the normal distribution link is given below.
brainly.com/question/12421652
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We need the first term. Replace n with 1 and simplify
a_n = (5/6)*(n+(1/3))
a_1 = (5/6)*(1+(1/3))
a_1 = (5/6)*( (3/3) + (1/3) )
a_1 = (5/6)*( 4/3 )
a_1 = (5*4)/(6*3)
a_1 = 20/18
a_1 = 10/9
Now we need the 58th term.
Repeat the steps done above, but now use n = 58
a_n = (5/6)*(n+(1/3))
a_58 = (5/6)*(58+(1/3))
a_58 = (5/6)*( (174/3) + (1/3) )
a_58 = (5/6)*( 175/3 )
a_58 = (5*175)/(6*3)
a_58 = 875/18
Next, add up the first and last terms of the sequence we want. So add up a_1 and a_58
a_1 + a_58 = (10/9) + (875/18)
a_1 + a_58 = (20/18) + (875/18)
a_1 + a_58 = (20+875)/18
a_1 + a_58 = 895/18
Multiply this result by n/2 where n = 58
n/2 = 58/2 = 29
(n/2)*(a_1+a_58) = 29*(895/18)
(n/2)*(a_1+a_58) = 25955/18
The answer I'm getting is 25955/18
Because this answer is not listed, I'm thinking there must be a typo somewhere. Please update the problem.
Answer:
10y+4
Step-by-step explanation:
perimeter=2(l+b)
2(4y+(y+2))
2(4y+y+2)
2(5y+2)
10y+4
Answer:
x=1
Step-by-step explanation:
This is where the line crosses the x axis.