What is the value of the expression, written in standard form? Please HELP!

Mathematics

1 answer:

zvonat [6]2 years ago

5 0

The value of $\frac{6.6 * 10^{-2}}{3.3 * 10^{-4}}$ in standard form is $2 * 10^2$

<h3>How to solve the expression?</h3>

The expression is given as:

$\frac{6.6 * 10^{-2}}{3.3 * 10^{-4}}$

Divide 6.6 by 3.3

$\frac{2 * 10^{-2}}{10^{-4}}$

Apply the law of indices

$2 * 10^{4-2$

Evaluate the difference

$2 * 10^2$

hence, the value of $\frac{6.6 * 10^{-2}}{3.3 * 10^{-4}}$ in standard form is $2 * 10^2$

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What is the height of this triangle between C and D

Rom4ik [11]

Answer:

12 units

Step-by-step explanation:

To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.

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3 years ago

In a city school, 60% of students have blue eyes, 55% have dark hair, and 35% have blue eyes and dark hair. What is the probabil

gulaghasi [49]

Answer:

58%

Step-by-step explanation:

This is a problem of conditional probability.

Let A represent the event that student has dark hair.

So P(A) = 55% = 0.55

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So, P(B) = 60% = 0.60

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We are to find the probability that a randomly selected student will have dark hair, given that the student has blue eyes. Using the given formula and values, we get:

$P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\ P(A|B)=\frac{0.35}{0.60}\\\\ P(A|B)=0.58$