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Leya [2.2K]
1 year ago
7

A marine biologist is setting up a net 6 feet below the surface of the water. Each foot of the water screens out 40% of the ligh

t coming from the surface. Which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent?
Mathematics
1 answer:
rosijanka [135]1 year ago
5 0

Answer:

<u>The correct answer is C. 4.7%</u>

Correct statement and question:

A marine biologist is setting up a net 6 feet below the surface of the water. Each foot of the water screens out 40% of the light coming from the surface. Which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent?

0.4%

1.0%

4.7%

7.8%

Source: brainly.com/question/4136163

Step-by-step explanation:

1. Let's review all the information given to us to answer the question correctly:

Depth of the net = 6 feet below the surface of the water

Each foot of the water screens out 40% of the light coming from the surface.

2. Which is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent?

After one feet: 100 - 40 = 60%

After two feet = 60 - 0.4 * 60 = 60 - 24 = 36

After three feet = 36 - 0.4 * 36 = 36 - 14.4 = 21.6

After four feet = 21.6 - 0.4 * 21.6 = 21.6 - 8.64 = 12.96

After five feet = 12.96 - 0.4 * 12.96 = 12.96 - 5.18 = 7.78

<u>After six feet = 7.78 - 0.4 * 7.78 = 7.78 - 3.11 = 4.67 = 4.7 (Rounding to the nearest tenth)</u>

<u>The correct answer is C. 4.7%</u>

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Let S(x) denote "x has a good attitude," where the domain is the set of people in the class. Express the negation of the proposi
user100 [1]

Answer:

See below

Step-by-step explanation:

Remember, we have two quantifiers, the existential quantifier ∃, and the universal quantifier ∀. The existential ∃ translates to English as "for some" or "there exists", whereas ∀ means "for all" or "every". We will also use the negation operator ¬.

First, let's write the proposition using quantifiers. "There is someone in this class who does not have a good attitude" translates to "(∃x)(¬S(x))". ∃x means that there exists a person in this class x. ¬S(x) means that x, the person that exists because of the quantifier, does not have a good attitude.

The negation is "¬(∃x)(¬S(x))" or equivalently "(∀x)(S(x))". To negate a proposition using quantifiers, change the quantifier (existential to universal and viceversa) and negate the predicate (in this case we negated ¬S(x)).

In English, "(∀x)(S(x))" means "Every person in this class has a good attitude".

8 0
1 year ago
A marine biologist is setting up a net 6 feet below the surface of the water. Each foot of the water screens out 40% of the ligh
rosijanka [135]

Answer:

<u>The correct answer is C. 4.7%</u>

Correct statement and question:

A marine biologist is setting up a net 6 feet below the surface of the water. Each foot of the water screens out 40% of the light coming from the surface. Which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent?

0.4%

1.0%

4.7%

7.8%

Source: brainly.com/question/4136163

Step-by-step explanation:

1. Let's review all the information given to us to answer the question correctly:

Depth of the net = 6 feet below the surface of the water

Each foot of the water screens out 40% of the light coming from the surface.

2. Which is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent?

After one feet: 100 - 40 = 60%

After two feet = 60 - 0.4 * 60 = 60 - 24 = 36

After three feet = 36 - 0.4 * 36 = 36 - 14.4 = 21.6

After four feet = 21.6 - 0.4 * 21.6 = 21.6 - 8.64 = 12.96

After five feet = 12.96 - 0.4 * 12.96 = 12.96 - 5.18 = 7.78

<u>After six feet = 7.78 - 0.4 * 7.78 = 7.78 - 3.11 = 4.67 = 4.7 (Rounding to the nearest tenth)</u>

<u>The correct answer is C. 4.7%</u>

5 0
1 year ago
Gabriel is saving money by mowing lawns on the weekends. Last month, he saved $150. This month, saved 20% more than he saved las
Katyanochek1 [597]

Answer:

180

Step-by-step explanation:

so last month he saved 150 right first you find 20% of 150. that is 30. you add 150 and 30 and get 180.

3 0
1 year ago
Read 2 more answers
A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's
wlad13 [49]

Answer:

B. 0.835

Step-by-step explanation:

We can use the z-scores and the standard normal distribution to calculate this probability.

We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.

We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.

Then, the z-scores for X=-43.5 and 32.1 are:

z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{(-43.5)-13.2}{18.9}=\dfrac{-56.7}{18.9}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{32.1-13.2}{18.9}=\dfrac{18.9}{18.9}=1\\\\\\

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

P(-43.5

6 0
2 years ago
Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 ​ kg1, start fraction, 3, divided by, 7, end fraction, start
LenKa [72]

Answer:

The cost of per kilogram of salami is = $9.1

Step-by-step explanation:

Given:

Hailey paid $13 for 1\frac{3}{7} kg of sliced salami.

To find cost per kilogram of salami.

Solution:

We will apply unitary method to find per kilogram cost of salami.

If 1\frac{3}{7} kg of salami costs = $13

Then 1 kg of salami will cost in dollars will be = 13\div 1\frac{3}{7}

In order to divide by mixed numbers, we will convert mixed numbers to fractions.

⇒ 13\div \frac{(7\times1)+3}{7}

⇒ 13\div \frac{10}{7}

In order to divide by fractions we will take reciprocal of divisor and then multiply.

⇒ 13\times \frac{7}{10}

⇒ \frac{13\times7}{10}

⇒ \frac{91}{10}

⇒ 9.1

Thus, cost of per kilogram of salami is = $9.1

3 0
2 years ago
Read 2 more answers
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