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yaroslaw [1]
3 years ago
6

For this entry, you are a math expert at a local school. Explain to a group of students how independent and dependent events are

alike and how they are different.
Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer:

hope this helps!

Step-by-step explanation:

Sample response: The two main variables in an experiment are the independent and dependent variable. An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable. A dependent variable is the variable being tested and measured in a scientific experiment.

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Nine less than the quotient of<br> twice a number and four.
Leno4ka [110]

Answer:

-1

Step-by-step explanation:

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4 0
3 years ago
If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ? sin Θ = ±square root 33 over 7; tan Θ = ±square root 33 ov
Natali5045456 [20]

Answer:

Answer = Option A;

sinθ = ±\frac{\sqrt{33} }{7}

tanθ = ±\frac{\sqrt{33} }{4}

Step-by-step explanation:

cosθ = -\frac{4}{7}

Remove the negative sign and evaluate cosθ = 4/7

cosθ = adjacent/hypotenuse.

Please see attached image for the right-angle triangle representation.

Let opp = length of opposite side of the triangle.

Let adj = length of adjacent side of the triangle.

Let hyp = length of hypotenuse side of the triangle

Using Pythagoras theorem,

hyp^{2}= opp^{2} +adj^{2} ;\\\\7^{2}= opp^{2}+ 4^{2};\\ \\opp^{2} =7^{2}- 4^{2} \\\\opp^{2} = 49-16\\\\opp^{2} = 33;

Take the square root of both sides.

\sqrt{opp^{2} } = ±\sqrt{33}

opp = ±\sqrt{33}

sinθ = opposite/hypotenuse

sinθ = ±\frac{\sqrt{33} }{7}

tanθ = opposite/adjacent

tanθ = ±\frac{\sqrt{33} }{4}

6 0
3 years ago
Simplify the expression (10 + 3i)(10 - 3i).​
WINSTONCH [101]

Answer:

109

Step-by-step explanation:

\textbf{Assuming}~ i ~\textbf{as the imaginary unit, where}~ i = \sqrt{-1}~ \textbf{and}~ i^2 = -1\\\\\textbf{Given that,}\\\\~~~(10+3i)(10-3i)\\\\=10^2 -(3i)^2~~~~~~~~~~;\textbf{Difference of two squares} ~a^2 -b^2 = (a+b)(a-b)\\\\=100-9i^2\\\\=100-9(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;{i^2 = -1}\\\\=100+9\\\\=109

5 0
1 year ago
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