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pentagon [3]
3 years ago
6

The nth term of a sequence is 60-8n. Find the largest number in this sequence

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0

Answer:

n=7.5

Step-by-step explanation:

You might be interested in
PLEASE HELP, ANYONE? 15m is what percent of 60m; 3m; 30m; 1.5 km?
Thepotemich [5.8K]

Answer:


Step-by-step explanation:

15/60 = 1/4 = 25%

15/3 = 5 = 500%

15/30 = 1/2 = 50%

15/1500 = 1/100 = 1%

8 0
3 years ago
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
Evaluate the expression when a = 4 and c = -4. -a +2c​
gizmo_the_mogwai [7]

Answer:

-12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
!!PLEASE HELP ME ANSWER!!
Igoryamba

Answer:

x = \sqrt{w(w+z)}

Step-by-step explanation:

By the Pythagorean theorem, triangle BCD has

y^2 = x^2 - w^2

and triangle ABD has

v^2 = y^2 + z^2.

Substituting the first equation into the second equation for y^2 gives the equation

v^2 = (x^2 - w^2) + z^2

Now triangle ABC has

(w+z)^2 = x^2 + v^2

Expanding out the left side, w^2 + 2wz + z^2 = x^2 + v^2.

Now substitute the equation from before, v^2 = x^2 - w^2 + z^2, into the new equation.

w^2 + 2wz + z^2 = x^2 + (x^2 - w^2 + z^2)

w^2 + 2wz + z^2 =2x^2 - w^2 + z^2

We work to isolate x^2 by adding w^2 to both sides of equation and subtracting z^2 from both sides.

2w^2 + 2wz = 2x^2

Divide both sides by 2 and you get w^2 + wz = x^2

Assume that x is positive and square root both sides to get the final result of

x = \sqrt{w^2 + wz} = \sqrt{w(w+z)}

4 0
3 years ago
Find the volume of the cylinder. Use 3.14 for π.
GarryVolchara [31]

Answer:

50.24ft^3

Step-by-step explanation:

Volume of a cylinder

= Pi r^2 h

Given

pi = 3.14

Radius r = 2 ft and

Height h = 4 ft

Therefore

Volume = 3.14 x 2^2 x 4

= 3.14 x 2 x 2 x 4

= 50.24ft^3

4 0
3 years ago
Read 2 more answers
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