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3 years ago

What is the simplified form of (3.25x10^3)(7.8x10^6) written in scientific notation?

Mathematics

1 answer:

BabaBlast [244]3 years ago

3 0

Answer: $2.535*10^{10}$

Step-by-step explanation:

1. By definition, scientific notation has the following form:

$a*10^{b}$

Where:

a is a number between 1 and 10 but does not include 10.

b an integer.

2. When you multiply 3.25 by 7.8 the result is 25.35 and when you multiply $10^{3}$ by $10^{6}$ , you obtain $10^{9}$ , but to write ree thsult in scientific notation, the decimal point must be after the first digit. Therefore, you must move the decimal point one place to the left. So, the exponent changes from 9 to 10:

$(3.25*10^{3})(7.8*10^{6})=2.535*10^{10}$

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Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

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P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

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Thus, we now have;

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Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

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Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

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Plugging in relevant values, we have;

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Cross multiply to get;

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Read 2 more answers

Consider the line 7x+9y=5

alisha [4.7K]

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

Step-by-step explanation:

We know the slope-intercept form

$y=mx+b$

Here,

m is the slope

b is the y-intercept

Given the equation

$7x+9y=5$

simplifying to write in the lope-intercept form

$y=-\frac{7}{9}x+\frac{5}{9}$

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

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