3 years ago

Find the missing angle

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

164 or sum like that don’t take this as a definite answer cause I am not sure

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What is the value of x? Enter your answer in the box. |x = °|

Serga [27]

X+30+70=180
x+100=180. -100 both sides
x=80

|x=80° |

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4 years ago

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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4 years ago

What 2 numbers multiply to -100 and add to -21

mylen [45]

Answer:

-25 and 4

Step-by-step explanation:

-25×4=-100 and -25+4=-21

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