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Snezhnost [94]
3 years ago
5

Ken and Tami are making necklaces. Ken makes 25 necklaces. Tami makes m more necklaces than ken. Which expression represents the

total number of necklaces ken and tami made
Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer: 2m + 25

Step-by-step explanation:

Number of necklaces Tami makes = 25 + m

Total = m + 25 + m = 2m + 25

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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
(x+3)(x+5) expand and simplify that pls
Kobotan [32]

Answer:

x^2 + 8x + 15

Step-by-step explanation:

( x + 3 ) ( x + 5 )

1. distribute

( x + 3 ) ( x + 5 )

x^2 + 3x + 5x + 15

2. simplify

x^2 + 8x + 15

3 0
3 years ago
(-8x) . 3x^2 please help​
user100 [1]
Answer: -24x^3
(the dot means multiplying right)
5 0
3 years ago
Read 2 more answers
How is finding the unit rate helpful before graphing a proportional relationship
eduard
It is helpful to find a unit rate first.  If you find a unit rate first, then it will be easier to compare
6 0
3 years ago
Read 2 more answers
What is the length of ST?
adell [148]
Hi there!

Since ST is a tangent to the circle, we can use the relationship: tangent squared = external secant segment x entire secant segment.

WORK:
(I will be using x in place of ST)
x^2 = 7(23 + 7)
x^2 = 7(30)
x^2 = 210
x = squareroot(210) or approximately 14.5 inches

Hope this helps!! :)
4 0
3 years ago
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