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3 years ago

Count the left-handed and right-handed spirals on the cacti in the photograph.

Mathematics

1 answer:

Digiron [165]3 years ago

8 0

Answer:

2 = 1 + 1

3 = 2 + 1

5 = 3 + 2

8 = 5 + 3

13 = 8 + 5

21 = 13 + 8.

Fibonacci numbers are found in many structures in nature.

We have just found that these cacti enclose Fibonacci numbers 13 and 21.

13 and 21

Step-by-step explanation:

You might be interested in

Find the measures of angles S and T in the triangle below.

tigry1 [53]

Answer:

60 degrees

Step-by-step explanation:

The type of triangle we’re looking at is a equilateral triangle meaning all sides and all angle measures measure the exact same thing.

With all this information, angle S and T measure 60*
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5 0

3 years ago

According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

3 years ago

Given: AC and AE are common external tangents of G and D. BC= 123 GB=20 and AG=101. What is the measure of AC?

Solnce55 [7]

Answer:

The length of AC is 222 units.

Step-by-step explanation:

Given AC and AE are common external tangents of G and D.

BC= 123 , GB=20 and AG=101.

We have to find the measure of AC.

As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,

In ΔABG, by Pythagoras theorem

$AG^2=AB^2+BG^2$

⇒ $101^2=AB^2+20^2$

⇒ $AB^2=10201-400=9801$

⇒ AB=99 units.

Hence, AC=AB+BC=99+123=222 units.

The length of AC is 222 units.

8 0

3 years ago

What is the reciprocal of –5?

Anon25 [30]

-5 is the same as -5/1

Flip the fraction:

-1/5

2/9 / 1/4

Flip the 2nd fraction and multiply:

2/9 * 4/1

Multiply the numerators and denominators:

8/9

4 0

3 years ago

Read 2 more answers

Please answer this correctly without making mistakes

Mnenie [13.5K]

Answer:

Step-by-step explanation:

750,000,000 times 10^5 can be expressed as 7.5 times $10^{11}$

7.55 times 10^13 is greater than 7.5 times 10^11.

3 0

3 years ago

Read 2 more answers