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3 years ago

Find two geometric means between 5 and 135

Mathematics

1 answer:

aniked [119]3 years ago

6 0

Answer:

We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.

This sequence has common ratio 3√1355=3, hence a=15 and b=45

Explanation:

In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.

So we want to find a and b such that 5, a, b, 135 is a geometric sequence.

If the common ratio is r then:

a=5rb=ar=5r2135=br=5r3

Hence r3=1355=27, so r=3√27=3

Then a=5r=15 and b=ar=15⋅3=45

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ELEN [110]

Answer:

a) The probability of falling in the warranty period is 11.6%.

b) The warranty period need to be 19771 km to ensure that no more than 5 per cent of tires fail in the warranty period.

Step-by-step explanation:

a) To fall within the warranty period, the tire has to fail before the 20,000 km.

To calculate the probability, we first calculate the z-value:

$z=\frac{X-\mu}{\sigma}=\frac{20000-20613}{512}= \frac{-613}{512}= -1.197$

Then, the probability of falling in the warranty period is:

$P(X$

b) To calculate this we have to go on from a P(z<z₁)=0.05. This happens for z=-1.645.

This corresponds to a value X of:

$X=\mu+z*\sigma=20613+(-1.645)*512=20613-842=19771$

The warranty period need to be 19771 km to ensure that no more than 5 per cent of tires fail in the warranty period.

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3 years ago

Write the perimeter of the triangle as a simplified polynomial. Then factor the polynomial

oksian1 [2.3K]

Answer:

Step-by-step explanation:

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3 years ago

Check all the ordered pairs that satisfy the equation below. Y=6x

slava [35]

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3 years ago

If a circle has a diameter of two what would the area be

Feliz [49]

Answer:

3.14

Step-by-step explanation:

d=2

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3 years ago

Look at the circle you created that has point C (the midpoint of AB) as its center and passes through point A. What can you say

Mice21 [21]

The inscribed angle on the circumference of the circle subtended by the diameter at the center is a right angle

What can be said about segment AB is; Segment AB is the diameter of circle with midpoint at C

What can be said about angle BDA is; Angle BDA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BDA is 90°

What can be said about angle BEA is; Angle BEA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BEA is 90°

The given diagram shows;

Circle with midpoint C, along AB, and radius AC

The diameter of circle C = AB

Circle with midpoint A, intersecting with circle C at points D and E

Tangents from point B on circle, C, intersect with circle A at points D and E

Required parameters;

What can be said about AB

The segment AB is a line that intersects the circle C at two points and also passes through the the point C which is the center of the circle C

Therefore, the segment AB is the diameter of the circle with center at C

What can be said about angle BDA

The angle BDA is the inscribed angle of circle C subtended by the points A and B which specifies the diameter of the circle with midpoint C

Therefore, the angle BDA is subtended by the diameter of the circle at the center

According to circle theorem, we have;

Angle subtended at the center = 2 × The angle subtended at the circumference

The angle subtended at the center by the diameter AB = 180° (Angle on a straight line)

Therefore;

The angle subtended at the center = 180° = 2 × Angle BDA

Angle BDA = 180°/2 = 90°

Angle BDA = 90°

What can be said about angle BEA

Similarly, we have;

The angle subtended at the center = 180° = 2 × Angle BEA

Angle BEA = 180°/2 = 90°

Angle BEA = 90°

Find out more about inscribed angles of a circle here:

brainly.com/question/17021375

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3 years ago