Can someone please help me, I will mark the correct answer brainlest!

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

At 10 percent interest, how long does it take to quadruple your money?

horsena [70]

It takes about 14.55 years for quadruple your money

Solution:

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

Rule of 144 Formula:

$N = \frac{144}{R}$

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

$\rightarrow N = \frac{144}{10} = 14.4$

Thus it takes about 14.4 years for quadruple your money.

Another method:

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

$Amount = Principal(1+\frac{R}{100})^n$

$4 = 1(1+\frac{10}{100})^n$

$4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55$

Thus Option D 14.55 years is correct

7 0

3 years ago

Find the measure of the angle to the nearest tenth of a degree.

Digiron [165]

Answer:

Option B is correct.

Step-by-step explanation:

We need to find the value of S in cos S = 0.9092

cos S = 0.9092

To find value of S we will find cos^-1(0.9092) i.e

S = cos^-1 (0.9092)

S = 24.6 °

So, the measure of the angle to the nearest tenth of a degree of cos S = 0.9092 is 24.6°

So, Option B is correct.

8 0

3 years ago

Plz simplefiy, no repeting answers. plz help!!

Iteru [2.4K]

Answer:

45). √ 147a⁴ = √ 147 × √a⁴ = (7√3 )x²

46.) √18x = √9 × 2x = 3√2x

47.) √80n = √16 × 5x = √16 × √5x = 4√5x

48.) √200x² = √200 × √x² =

√ 100× 2 × x =  (10√2)x

49.) √256x³ = √256 × √x³ =  16√x³

50.) -7 √ 75x⁴ = -7√75 × √x⁴

Hope this helps you

5 0

3 years ago

Find the coefficient of x2 in ( 4+ 4x2)( 3x2–5).

algol13

Answer:

- 8

Step-by-step explanation:

Given

(4 +4 x²)(3x² - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

4(3x² - 5) + 4x²(3x² - 5) ← distribute parenthesis

= 12x² - 20 + 12 $x^{4}$ - 20x² ← collect like terms

= 12 $x^{4}$ - 8x² - 20

with coefficient of x² term being - 8

8 0

2 years ago