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2 years ago

Evaluate, and round your answer to the nearest hundredth.

Mathematics

1 answer:

VashaNatasha [74]2 years ago

7 0

Answer:

(d) -1.83

Step-by-step explanation:

The explicit expression for the sum is ...

S = (-11/5)×(1 -(-1/5)^10)/(1 -(-1/5)) = -2.2(1 -1.024×10^-7)/1.2

S = -1.8333331456

The sum is approximately -1.83.

_____

<em>Additional comment</em>

For a sum of a sequence with multiplier 'a' and common ratio r, we find ...

$\displaystyle S=\sum_{n=1}^{10}ar^n=ar+ar^2+ar^3+\dots+ar^{10}\\\\rS=ar^2+ar^3+\dots+ar^{10}+ar^{11}\\\\S-rS=ar+(ar^2-ar^2)+(ar^3-ar^3)+\dots+(ar^{10}-ar^{10})-ar^{11}\\\\S=\dfrac{ar-ar^{11}}{1-r}=ar\dfrac{1-r^{10}}{1-r}$

A calculator or spreadsheet can also find the sum for you.

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In the adjoining figure prove that<A+<B+<C+<D+<E is equal 180

Naya [18.7K]

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

<h3>How to find the sum of angles of a polygon?</h3>

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

Read more about Angles in a Polygon at; brainly.com/question/1592456

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6 0

2 years ago

What is the measure of angle 4? A triangle has angles 33 degrees, 75 degrees, 3. The exterior angle to angle 3 is 4. 42° 72° 108

Lady_Fox [76]

Answer:

108

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<1 + <2 = <4

33 + 75 = <4

108 = <4

4 0

3 years ago

Read 2 more answers

What is the prime number of 24

tangare [24]

2*2*2*3 is the prime numbers of 24

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2 years ago

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Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

kirza4 [7]

Answer:

$P(X < 24 )= 21.186\%$

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

$\frac{x - 26}{4} = -1.555$

=> $x = 19.78 \ months$

7 0

3 years ago

Someone plz help me!!

marta [7]

Answer:

P'=(0,3)

Step-by-step explanation:

P'=(-5+5, 7-4)

8 0

2 years ago