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anzhelika [568]
3 years ago
13

PLEASE HELP!!! PRE CAL!!!

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0
Please help my latest question

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Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean
Zinaida [17]

Answer:

E[R] = 99 Ω

\sigma_R = 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} = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333

Hence,

The standard deviation of resistance, \sigma_R = \sqrt{V(R)} = \sqrt5.333 = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

z_1 = \frac{102-99}{2.3094} = 1.299

z_2 = \frac{98-99}{2.3094} = -0.433

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0
3 years ago
True or false The opposite of a number is always positive
irakobra [83]
False because if the number was positive the opposite of that would be negative
6 0
3 years ago
Read 2 more answers
ZARA'S DAD IS 6 TIMES OLDER THAN ZARA. THE PRODUCT THEIR AGE IS 150 YEARS. CALCULATE THEIR RESPECTIVE AGES
Masteriza [31]

Answer:

Zara = 5
Her Dad = 30

Step-by-step explanation:

Lets say Zara's age is "z"
So, her dad's age must be 6 x z = 6z
As its given that there product is 150 so we can also write it as :

z x 6z = 150
6z to the power 2 = 150
z to the power 2 = 150 divided by 6
                            = 25
So, z = 5
So Zara's age is 5 so her dad's age must be 30

3 0
1 year ago
A theater company is considering raising the price of its tickets. It currently charges $8.50 for each ticket and sells an avera
Licemer1 [7]

Answer:

The answer is c.

Step-by-step explanation:

6 0
3 years ago
Equalivent fraction of 2/3
LiRa [457]
2/3 could equal 4/6 , 6/9, 8/12 , 10/15 , 12/18 ETC
6 0
3 years ago
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