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3 years ago

4.9x10^_8 In decimal notation

Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

Answer:

490000000

Step-by-step explanation:

For every exponent of 10, move the decimal point one place to the right.

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If a gas cost $3.29 per gallon and I fill my tank with 12.6 gallons then how much will I be charged

Lelu [443]

Answer:

Step-by-step explanation:

So you do 3.29*12.6=41.454. Since we are dealing with money we round to get $41.45

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3 years ago

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Two triangles with the same corresponding side lengths will be congruent is known as the ____.

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The answer is the first one A. sss Postulate

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3 years ago

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A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books. What is the probability

Gnesinka [82]

Answer:

Probability that one of them is mathematics and other two are either physics or history books = 0.51

Step-by-step explanation:

Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

To find - What is the probability one of them is mathematics and other two are either physics or history books ?

Solution -

Given that,

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

So,

Total number of books = 3 + 3 + 1 = 7

The student has to select 3 books

So, Total number of ways = $^{7} C_{3}$ = 35

So,

Probability that one of them is mathematics and other two are either physics or history books is -

= $\frac{^{3} C_{1}. ^{4} C_{2} }{^{7} C_{3}}$

= $\frac{(3)(6)}{35}$

= $\frac{18}{35}$

= 0.51

⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51

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3 years ago

Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22

UNO [17]

The solution set is $\{-5,5\}$

Explanation:

The given equation is $a^{2}-3=22$

To determine the solution set of the equation, let us solve the equation.

Adding both sides of the equation by 3, we have,

$a^2=25$

Taking square root on both sides of the equation, we get,

$a=\sqrt{25}, a=-\sqrt{25}$

$a=5, a=-5$

Thus, the solution of the equation is $a=5, a=-5$

The solution set of the equation is the set which contains all the solutions of the equations.

Thus, writing the solutions of the equation using set notation, we have,

$\{-5,5\}$

Thus, the solution set is $\{-5,5\}$

4 0

3 years ago