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3 years ago

Express each of the following scales in the form 1: r.

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Answer:

more information?

Step-by-step explanation:

this question just confuses me a little bit

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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

4 years ago

The equation of line f is y = 1/4x -1. line g includes the point (1,-6) and is perpendicular to line f . What is the equation of

Gwar [14]

Y=-4x+b
-6=-4+b
-2=b
y=-4x-2

7 0

3 years ago

Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to

SCORPION-xisa [38]

Answer:

The answer is "96.864 ml".

Step-by-step explanation:

In this question, the formula of $\bold{CI = X \pm t \times s}$ .

( where X is the mean, t is the coefficient, and s is the mean difference error)

As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is $t=1.96$ .

And it can take $\pm \ 1.6 \ ml$ to have been the full value the standard infinite: $\to CI = 100 \pm (1.96 \times 1.6) \\\\$

$= 100 \pm (3.136) \\\\$

Consequently, if the standard error is $\pm \ 1.6 \ ml$ , a similar amount should be used to fill

$= 100 - 3.136 \\\\= 96.864 \ \ mL$

5 0

3 years ago

Please help me!!!!! I need help!!!!!!!!!

Alex

The answer is 145 divided by tan 65 degrees.

Since the equation for tangent is opposite/adjacent, you can just plug the numbers in.

tan(65)=145/x (x being the height that you are trying to find)

tan(65) * x = 145

Then divide tan(65) to isolate the x and you get:

145/tan(65)

Hope this helps!

6 0

4 years ago

The quotient of a number and 4 is less than -1

Semenov [28]

Answer:

x/4<-1

Quotient means division so x should be divided by four

5 0

3 years ago