HURRYYYYY. Which graph shows the points (–3, 5) and (4, –3) plotted correctly? On a coordinate plane, a point is 3 units to the
left and 8 units up. Another point is 10 units to the right and 5 units down. On a coordinate plane, a point is 6 units to the left and 4 units up. Another point is 5 units to the right and 3 units down. On a coordinate plane, a point is 6 units to the left and 10 units up. Another point is 8 units to the right and 6 units down. On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down.
2 answers:
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Using the <u>normal probability distribution and the central limit theorem</u>, it is found that:
a) There is a 0.1922 = 19.22% probability that Company B would charge more than Company A to deliver a small-item package.
b) The mean amount charged is of RM 51.5, with a standard deviation of 21.35.
In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
By the Central Limit Theorem:
- When a <u>fixed constant k</u> multiplies a variable, the mean is
and the standard deviation is
- When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In this question, b is needed to solve a, so I am going to place the solution to item b first.
Item b:
Flat fee of RM20(not considered for the standard deviation), plus a variable fee of RM3.5, hence:
The mean amount charged is of RM 51.5, with a standard deviation of 21.35.
Item a:
This probability is . For the distribution, we have that:
Since A has a constant fee, it's standard deviation is 0, hence:
The probability is <u>1 subtracted by the p-value of Z when X = 0</u>, so:
has a p-value of 0.8078.
1 - 0.8078 = 0.1922.
0.1922 = 19.22% probability that Company B would charge more than Company A to deliver a small-item package.
A similar problem is given at brainly.com/question/25403659
Answer:
111 cm^2
Step-by-step explanation:
h = 11.4
d = 5 so r (radius) = 2.5
Surface Area of a Cone Formula: πr^2 + πrs
s represents the slant height of the cone, lets represent this with a drawing.
We have the values of h and r, but we don't have the value of s, meaning we have to find it. We can do this by using pythagorean theorem.
a^2 + b^2 = c^2
These three values can come together to create a right triangle which we can seperate from the rest of the diagram, now we can find s.
s = √(11.4^2 + 2.5^2) so s = 11.67
now that we have all of the pieces, we can plug back into the original surface area formula. πr^2 + πrs
π(2.5^2) + π(2.5)(11.67) = 111.29 cm^2 or 111 cm^2
