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2 years ago

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Convert this number expressed in standard form to scientific notation. 28,500,000 1. Move the decimal to create the coefficient:

2.8500000 2. Write in scientific notation: 2.85 × 10x What is the value of x in the scientific notation?

2 answers:

Scilla [17]2 years ago

4 0

It is 10 to the power 7

astra-53 [7]2 years ago

4 0

Answer: The value of x is 7.

Step-by-step explanation:-

Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example : 5000 is written as $5.0\times 10^3$

As we are given that the value is 28,500,000

This number is written in scientific notation as : $2.85\times 10^{7}$

Therefore, the value of x comes out to be 7.

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Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye

slega [8]

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

37% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.37$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}$

$\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2$

$n = 1030.4$

Rounding up:

A sample size of 1031 is required.

4 0

2 years ago

In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?

larisa86 [58]

Answer:

We must have two angles and a side.

A is the correct option.

Step-by-step explanation:

For any triangle ABC, the law of sine is given by

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.

Let us understand this by assuming that we need to find a (length of the side). From the formula, we have

$\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b\sin A}{\sin B}$

Thus, to find the length a, we must have b, sin A and sin B.

Hence, o find the length of the side of the triangle, we must have two angles and a side.

3 0

3 years ago

Read 2 more answers

2PLSS NEED HELP.........

Nonamiya [84]

Answer:

right

Step-by-step explanation:

The side ratios are ...

24 : 45 : 51 = 8 : 15 : 17

These numbers are a Pythagorean triple. The triangle is a right triangle.

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24² + 45² = 576 +2025 = 2601 = 51² . . . . the Pythagorean theorem is satisfied

5 0

2 years ago

Based only on the information given in the diagram, it is guaranteed that JKL ~ WXY.

Alika [10]

Answer:

Option A True

Step-by-step explanation:

we know that

The sum of the internal angles of the triangle is equal to $180\°$

<u>In the triangle JKL</u>

m∠L= $180\°-90\°-27\°=63\°$

so

The measurements of the angles of triangle JKL are $27\°-90\°-63\°$

<u>In the triangle WXY</u>

m∠W= $180\°-90\°-63\°=27\°$

so

The measurements of the angles of triangle WXY are $27\°-90\°-63\°$

therefore

Triangle JKL and triangle WXY are similar by AAA ( The AAA postulate states that if you can prove that all three angles of two triangles are congruent, you can prove the two triangles are similar)

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2 years ago

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I need help quickkk!?

a_sh-v [17]

Answer:

i believe the answers

Step-by-step explanation:

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2 years ago