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3 years ago

Please help! its due today!!

Mathematics

1 answer:

nekit [7.7K]3 years ago

3 0

Answer:

Step-by-step explanation:

a=1

b=2

d=2

c=10

K+L = 10¹+2² = 10+4 = 14

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1. The area of a circle is 60 square units. What is the area of ...

AVprozaik [17]

Multiply the area of the circle by the percentage:

60 square units x 50% = 60 x 0.50 = 30

50% 0f the circle id 30 square units.

3 0

2 years ago

A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in capti

zysi [14]

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, $\mu=18$

and standard deviation, $\sigma=2.6$

The z-score, for any arbitrary life span of x year, is given by

$z=\frac{x-\mu}{\sigma}$

By using the given values, we have

$z=\frac{x-18}{2.6} \cdots(i)$

The z-score for x=24, by using equation (i), is

$z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31$

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

5 0

2 years ago

Read 2 more answers

Use the properties of geometric series to find the sum of the series. for what values of the variable does the series converge t

Oksi-84 [34.3K]

Answer:

- The sum of the series is given as

7/(1 + 7z)

- The series converges for (-1/7, 1/7)

Step-by-step explanation:

Given the geometric series:

7 - 14z + 28z² - 56z³ + ...

The common ratio r is given as

-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on

r = -7z

The sum of the series is given as

S = a/(1 - r)

Where a is the first term in the series.

S = 7/(1 -(-7z))

= 7/(1 + 7z)

The series converges for |-7z| < 1

That is for -1/7 < z < 1/7

7 0

3 years ago

Read 2 more answers

the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole

AleksAgata [21]

Answer:

10√3m

Step-by-step explanation:

Given :-

Angle of elevation = 60°
Distance between man and pole = 60°

We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,

=> tan 60° = p/b

=> √3 = h / 10 m

=> h = 10 m× √3

=> h = 10√3 m

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3 years ago

How do you determine the square root of a term whose variable(s<br> have exponents greater than 2?

4vir4ik [10]

Basic method is Synthetic Division and Factor Theorem

Step-by-step explanation:

For higher-degree equations, the question becomes more complicated than others: cubic and quadratic equations can be solved by similar formulas.

Hence, to avoid those circumstances we can use Synthetic Division and Factor theorem to determine the squares of the given polynomial those who have order higher than 2.

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3 years ago