The probablity that the sample's mean length is greate than 6.3 inches is0.8446.
Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event. It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
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914,545 rounded to the nearest ten is 914,550.
Answer:
120 degrees
Step-by-step explanation:
First, you need to find the measurement of the angle that is supplementary to D.
To do that you do 180-130=50, we know this is true because the two angles make a straight line.
Then you can find angle 2 because we have two of the angles in the triangle. All triangles have measurements of 180, we can use this information by doing
180-(50+70)=60, so angle 2 equals 60, then to find angle 1 you do
180-60=120, because they make a straight line.
angle 1=120
Answer:
$16.25 for 1 pillow
Step-by-step explanation:
To find the cost of 1 pillow divide 65 by 4.
65/4 = 16.25
Simplify 3/5p tp 3p/5
4 + 2p = 10(3p/5 - 2)
Expand
4 + 2p = 6p - 20
Subtract 2p from both sides
4 = 6p - 20 - 2p
Simplify 6p - 20 - 2p to 4p - 20
4 = 4p - 20
Add 20 to both sides
4 + 20 = 4p
Simplify 4 + 20 tp 24
24 = 4p
Divide both sides by 4
24/4 = p
Simplify 24/4 to 6
6 = p
Switch sides
<u>p = 6</u>
