Answer:
$43.70
Step-by-step explanation:
90.50 - 4 = 87.50
87.50 ÷ 2 = $43.70
¯\_(ツ)_/¯
Answer:
![E[R]](https://tex.z-dn.net/?f=E%5BR%5D)
= 99 Ω
= 2.3094 Ω
P(98<R<102) = 0.5696
Step-by-step explanation:
The mean resistance is the average of edge values of interval.
Hence,
The mean resistance, ![E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}](https://tex.z-dn.net/?f=E%5BR%5D%20%3D%20%5Cfrac%7Ba%2Bb%7D%7B2%7D%20%20%3D%20%5Cfrac%7B95%2B103%7D%7B2%7D%20%3D%20%5Cfrac%7B198%7D%7B2%7D)
= 99 Ω
To find the standard deviation of resistance, we need to find variance first.
Hence,
The standard deviation of resistance, 
= 2.3094 Ω
To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.
From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696
Answer:
5
Step-by-step explanation:
Remember that the slope of a line that is perpendicular to a given line is the negative reciprocal of the slope of the given line.
Here we are given the line y = -(1/5)x - 9. The slope is (-1/5). The negative reciprocal of this is +5. That's the answer you wanted.
Answer:
1/5
Step-by-step explanation:
There are 30 contestants. 16 are men, which means 14 are women.
All 14 women wear glasses. Since 20 of the contestants wear glasses, that means there are 6 men who wear glasses.
So the probability that a randomly selected contestant will be a male with glasses is 6/30 or 1/5.
