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Alja [10]
3 years ago
10

you pick a number between 1,000 and 5,000 then you flip a coin identify if the two events are independent or dependent explain

Mathematics
2 answers:
Lelu [443]3 years ago
7 0
Independent one has nothing to with the other

Mariana [72]3 years ago
6 0

Answer with Step-by-step explanation:

Events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

A:Picking a number between 1000 and 5000

B:flipping a coin

P(A)=1/4001

P(B)=1

P(A∩B)=1/4001

           =P(A)×P(B)

Hence, the two events are independent

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PLS ANSWER ASAP 30 POINTS!!! CHECK PHOTO! WILL MARK BRAINLIEST TO WHO ANSWERS
Sveta_85 [38]

I'll do Problem 8 to get you started

a = 4 and c = 7 are the two given sides

Use these values in the pythagorean theorem to find side b

a^2 + b^2 = c^2\\\\4^2 + b^2 = 7^2\\\\16 + b^2 = 49\\\\b^2 = 49 - 16\\\\b^2 = 33\\\\b = \sqrt{33}\\\\

With respect to reference angle A, we have:

  • opposite side = a = 4
  • adjacent side = b = \sqrt{33}
  • hypotenuse = c = 7

Now let's compute the 6 trig ratios for the angle A.

We'll start with the sine ratio which is opposite over hypotenuse.

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(A) = \frac{a}{c}\\\\\sin(A) = \frac{4}{7}\\\\

Then cosine which is adjacent over hypotenuse

\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(A) = \frac{b}{c}\\\\\cos(A) = \frac{\sqrt{33}}{7}\\\\

Tangent is the ratio of opposite over adjacent

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(A) = \frac{a}{b}\\\\\tan(A) = \frac{4}{\sqrt{33}}\\\\\tan(A) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\tan(A) = \frac{4\sqrt{33}}{(\sqrt{33})^2}\\\\\tan(A) = \frac{4\sqrt{33}}{33}\\\\

Rationalizing the denominator may be optional, so I would ask your teacher for clarification.

So far we've taken care of 3 trig functions. The remaining 3 are reciprocals of the ones mentioned so far.

  • cosecant, abbreviated as csc, is the reciprocal of sine
  • secant, abbreviated as sec, is the reciprocal of cosine
  • cotangent, abbreviated as cot, is the reciprocal of tangent

So we'll flip the fraction of each like so:

\csc(\text{angle}) = \frac{\text{hypotenuse}}{\text{opposite}} \ \text{ ... reciprocal of sine}\\\\\csc(A) = \frac{c}{a}\\\\\csc(A) = \frac{7}{4}\\\\\sec(\text{angle}) = \frac{\text{hypotenuse}}{\text{adjacent}} \ \text{ ... reciprocal of cosine}\\\\\sec(A) = \frac{c}{b}\\\\\sec(A) = \frac{7}{\sqrt{33}} = \frac{7\sqrt{33}}{33}\\\\\cot(\text{angle}) = \frac{\text{adjacent}}{\text{opposite}} \ \text{  ... reciprocal of tangent}\\\\\cot(A) = \frac{b}{a}\\\\\cot(A) = \frac{\sqrt{33}}{4}\\\\

------------------------------------------------------

Summary:

The missing side is b = \sqrt{33}

The 6 trig functions have these results

\sin(A) = \frac{4}{7}\\\\\cos(A) = \frac{\sqrt{33}}{7}\\\\\tan(A) = \frac{4}{\sqrt{33}} = \frac{4\sqrt{33}}{33}\\\\\csc(A) = \frac{7}{4}\\\\\sec(A) = \frac{7}{\sqrt{33}} = \frac{7\sqrt{33}}{33}\\\\\cot(A) = \frac{\sqrt{33}}{4}\\\\

Rationalizing the denominator may be optional, but I would ask your teacher to be sure.

7 0
1 year ago
The product of two mixed numbers that are each between 4 and 5 is between 16 and 25 true or false
Leni [432]

9514 1404 393

Answer:

  True

Step-by-step explanation:

The smallest the product could be is 4×4 = 16.

The largest the product could be is 5×5 = 25.

The product must be between 16 and 25. (true)

5 0
3 years ago
What is the area of polygon ABCDE?
marta [7]

Answer:86

Step-by-step explanation

140-(16+24+5+9) 140-54 = 86

6 0
3 years ago
Find the value of x and the value of y.
Zina [86]
The answer is B. x = 65, y = 10.
6 0
3 years ago
At a party there are 30 students over the age of 21 and 15 under the age of 21. You select a representative sample of 5to interv
Feliz [49]

Answer:

Stratified sampling

Step-by-step explanation:

Given

30 \to 21\ and\ above

15 \to Under\ 21

Required

The type of sampling method

From the question, we understand that, the sample are divided into two categories. This means that each person in each person do not have the same probability of being selected.

<em>Such method is a stratified sampling</em>

7 0
3 years ago
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