Ask question

Ask question

All categories

3 years ago

12

there are 10 million bacteria per square centimeter of coral in a coral reef. the coral reefs near the Hawaiian islands cover 14

,000 kilometers squared. how many bacteria are there in Hawaii's coral reef?

1 answer:

Karo-lina-s [1.5K]3 years ago

7 0

4000000000
multiply them

You might be interested in

Suppose the true proportion of voters in the county who support a restaurant tax is 0.54. Consider the sampling distribution for

Eva8 [605]

Answer:

The correct answer is:

(a) 0.54

(b) 0.0385

Step-by-step explanation:

Given:

Restaurant tax,

p = 0.54

Sample size,

n = 168

Now,

(a)

The mean will be:

⇒ μ $\hat{p}= p$

$=0.54$

(b)

The standard error will be:

$\sigma \hat{p}$ = $\sqrt{[\frac{p(1-p)}{n} ]}$

= $\sqrt{[\frac{(0.54\times 0.46)}{168} ]}$

= $\sqrt{[\frac{(0.2484)}{168} ]}$

= $0.0385$

6 0

2 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

2 years ago

Which is smaller: 5 nanometers or 50 micrometers

lina2011 [118]

5 nanometers is smaller

8 0

3 years ago

Read 2 more answers

The polynomial is missing the coefficient of the third and last terms.

bulgar [2K]

In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.

8 0

2 years ago

Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.

ElenaW [278]

Answer:

iyfohvvlcoyyfpuufpupfyofgogpugulglgulgug

4 0

2 years ago

Read 2 more answers