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3 years ago

-1 and 3/5 divided by (-2/3) as a mixed number

Mathematics

1 answer:

goblinko [34]3 years ago

4 0

Answer:

2 2/5

Step-by-step explanation:

change -1 3/5 to an improper fraction

-1 3/5 = -(5*1+3)/5 = -8/5

-1 3/5 ÷ -2/3 =

-8/5 ÷-2/3

copy dot flip

-8/5 * -3/2

24/10

divide top and bottom by 2

12/5

change back to a mixed number

5 goes into 12 2 times (5*2=10) with 2 left over

2 2/5

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7.5888

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if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean o

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Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

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z-score = (x-mean)/SD/√n

In this case;

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Substituting these values into the z-score formula, we have that;

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4 0

3 years ago

Please help me with this.

zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: $hypotenuse^2=(leg_1)^2+(leg_2)^2$ . And the main trigonometric ratios are:

$sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\$

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

$hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12$

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

$sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}$

Finally, you can find the tan (A) since:

$tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

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