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1 year ago

Find the quotient. (3.683 × 104) (7.51 × 1012) What is the solution in scientific notation?

Mathematics

2 answers:

olasank [31]1 year ago

6 0

Answer:

Step-by-step explanation:

$\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}$

erik [133]1 year ago

3 0

Answer:

Step-by-step explanation:

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The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in n

devlian [24]

Answer:

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so $\mu = 49.9, \sigma = 3.74$ .

What is the length in cm of the longest 15% of Atlantic cod in this area?

We have to find the value of X for the value of Z that has a pvalue of 0.85.

Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when $Z = 1.04, \mu = 49.9, \sigma = 3.74$ .

$Z = \frac{X - \mu}{\sigma}$

$1.04 = \frac{X - 49.9}{3.74}$

$X - 49.9 = 3.8896$

$X = 53.7896$

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

8 0

2 years ago

Which of the following values are in the range of the function graphed below?

Elanso [62]

Hello!

The range is all of the y-values of the function. As we can see, the function is at y-values 0, -2,-4 and -6.

Therefore, our answers are 0 ,-2 and -6.

I hope this helps!

4 0

2 years ago

Read 2 more answers

Answer 0.1 is equal to or less than 5.00 plz hurry up!

Wittaler [7]

Yes, 0.1 is less than 5.00.

5.00 is a whole number, while 0.1 is less than that, so yes, you were correct.

Have a nice day! :)

7 0

1 year ago

You'd like to estimate the proportion of the 12,152 full-time undergraduate students at a university who are foreign students.

Minchanka [31]

Answer:

a) The data distribution consists of ( 7 )1's (denoting a foreign student) and ( 43 )0's (denoting a student from the U.S.).

b) The population distribution consists of the x-values of the population of 12,152 full-time undergraduate students at theuniversity, ( 6 )% of which are 1's (denoting a foreign student) and ( 94 )% of which are 0's (denoting a student from the U.S.).

c) The mean is ( 0.06 )

The standard deviation is ( 0.0336 )

The sampling distribution represents the probability distribution of the ( sample ) proportion of foreign students in a random sample of ( 50 ) students. In this case, the sampling distribution is approximately normal with a mean of ( 0.06 ) and a standard deviation of ( 0.0336 )

Step-by-step explanation:

5 0

2 years ago

Maria started her business with $50 in her bank account. At the end of the month, she had +$60 in her account in addition to the

Sladkaya [172]

In the original statement, it says 'in addition to the initial $50' meaning that you're adding $50+$60. The correct answer would be: She gained $60.

5 0

2 years ago