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Scorpion4ik [409]
3 years ago
6

Which value is less than the fraction 5/25? Convert to decimal and then compare. A. 0.025 B. 0.200 C. 0.25 D. 0.525

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0
Answer: B. 0.200
Explaination:

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The lifetime of a certain transistor in a certain application has mean 900 hours and standard deviation 30 hours. Find the mean
tamaranim1 [39]

Answer:

E(T)=E(X1 + X2 + X3 + X4 =E(x1) + E(x2) + E(x3) + E(x4)

E(T) =900+900+900+900 =3600

And the mean would be:

\bar X = \frac{T}{4} = \frac{3600}{4}= 900

And the standard deviation of total time would be:

SD(T)=\sqrt(Var(T)) = sqrt(Var(X1) + Var(x2) + Var(x3) + Var(x4))

\sigma=sqrt(30^2+30^2+30^2+30^2) =\sqrt(3600) =60

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let total life time of t four transistors T = X1 + X2 + X3 + X4 (where X1,X2,X3 and X4 are life time of individual transistors

For this case the mean length of time that four transistors will last

E(T)=E(X1 + X2 + X3 + X4 =E(x1) + E(x2) + E(x3) + E(x4)

E(T) =900+900+900+900 =3600

And the mean would be:

\bar X = \frac{T}{4} = \frac{3600}{4}= 900

And the standard deviation of total time would be:

SD(T)=\sqrt(Var(T)) = sqrt(Var(X1) + Var(x2) + Var(x3) + Var(x4))

\sigma=sqrt(30^2+30^2+30^2+30^2) =\sqrt(3600) =60

6 0
3 years ago
Plz help me with these problems
elena-14-01-66 [18.8K]

Answer: number 16 is d

number 20 is d

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Csqrt%7B49%20%5Ctimes%207%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \sqrt
yuradex [85]

\sqrt{ \sqrt{49 \times 7} }  \\  =  \sqrt{7 \sqrt{7} }  \\  =  {7}^{ \frac{1}{2} }  \times  \sqrt{ {7}^{ \frac{1}{2} } }  \\  =  {7}^{ \frac{1}{2} }  \times  {7}^{ \frac{1}{4} } \\  =  {7}^{ \frac{3}{4} }

7 0
3 years ago
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What is the slope of a line perpendicular to the line whose equation is x-3y=-18
ICE Princess25 [194]

Answer: y = 3x + 2

Step-by-step explanation: Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

8 0
3 years ago
The graph of y = f(x) is shown in the figure below.
vesna_86 [32]

Answer:

Step-by-step explanation:

It’s c

3 0
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