2 years ago

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics

1 answer:

Ulleksa [173]2 years ago

4 0

Check the picture below.

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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

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3 years ago

Mrs. chill has 26 yards of ribbon. She places equal amounts on 3 different spools to sell. How much ribbon in yards are on each

den301095 [7]

8.6 yards are on each spool

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2 years ago

Need help simplifying, (-6√80)(3)

svlad2 [7]

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3 years ago

So at this rate how many pints can you afford for $20.00

julia-pushkina [17]

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3 years ago

Find the total surface area. A. 422 in² B. 554 in² C. 638 in² D. 517 in²

Brilliant_brown [7]

Answer:

Step-by-step explanation:

you have to find the surface area of all sides. so (11*11)*2 and (11*9) *4 with this you get c. 638in square.

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3 years ago