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I am Lyosha [343]
3 years ago
15

If the probability that Alex lives to be 100 years old is 0.06%, what is the

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

There is a 99.94 percent that Alex will not live to be 100 years old.

Step-by-step explanation:

100% - 0.06% = 99.94

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210 take 126/3 = 42 take 42x5 = 210
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3 years ago
A regular assignment has 15 sides.Calculate the size of each interior angle
MariettaO [177]

Answer:

The measure of an interior angle of a regular 15-gon is 120°.

Step-by-step explanation:

We need to determine the measure of the size of an interior angle of a regular 15-gon having 15 sides.

Thus,

The number of sides n = 15

Hence,

Using the formula to determine the measure of an interior angle of a regular 15-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 15

(15 - 2) × 180 = 15 × interior angle

13 × 180 = 15 × interior angle

Interior angle = (10 × 180) / 15

                      = 1800 / 15

                      = 120°

Therefore, the measure of an interior angle of a regular 15-gon is 120°.

6 0
3 years ago
Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot
Lady_Fox [76]
In order to solve this problem, you need to use a geometric series:
S_{n} =  \frac{ a_{1}(1 - r^{n}) }{1 - r}
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
 <span>S_{n} =  \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}
= 219783.60 $

Luke's total earnings in five years are <span>219783.60 $.</span>

</span>
6 0
3 years ago
A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: The f
Romashka-Z-Leto [24]

The following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

To answer the question, we need to know what volume is.

<h3>What is volume?</h3>

This is the capacity of a material or container.

Since the silo is made of a cylindrical and a conical part, we need to find the volume of both parts.

<h3>Volume of cylindrical part.</h3>

So, the volume of the cylindrical part V = πr²h where

  • r = radius of cylidrical part = 4 ft/2 = 2 ft and
  • h = length of cylindrical part = 8 ft.

So, V = πr²h

V = π(2 ft)²8 ft

<h3>Volume of the conical part</h3>

The volume of the conical part is given by V' = 1/3πr²h where

  • r = radius of cone = 2ft and
  • h = height of cone.

Since the entire length of silo is 9.5 ft and length of cylindrical part is 8 ft, then the height of cone is h' = 9.5 ft - 8 ft

So, V' = 1/3πr²h'

V' = 1/3π(2 ft)²(9.5 ft - 8ft)

<h3>Total volume of grains in silo</h3>

The total volume of grains equals the total volume of the silo V" = V + V'

V" = π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

So, the following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

Learn more about volume here:

brainly.com/question/25248189

#SPJ1

7 0
2 years ago
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