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Dependent event is when two events are dependent events, one event influences the probability of another event whereas independent event has no effect on the probability of another event occurring.

↪DEPENDENT EVENT

When two events are dependent events, one event influences the probability of another event. A dependent event is an event that relies on another event to happen first. Dependent events in probability are no different from dependent events in real life. If you want to attend a concert, it might depend on whether you get overtime at work. if you want to visit family out of the country next month, it depends on whether or not you can get a passport in time. More formally, we say that when two events are dependent, the occurrence of one event influences the probability of another event.

Simple examples of dependent events

↪INDEPENDENT EVENT

An independent event is an event that has no connection to another event’s chances of happening (or not happening). In other words, the event has no effect on the probability of another event occurring. Independent events in probability are no different from independent events in real life. Where you work has no effect on what color car you drive. Buying a lottery ticket has no effect on having a child with blue eyes.

When two events are independent, one event does not influence the probability of another event.

Simple examples of independent events

☆...hope this helps...☆

Answer:

all are correct of not then the first two are the answers

The type of test that will be required in the organization is a two samples test assuming unequal variance.

It should be noted that a hypothesis simply means a statement of expectation that will be tested by research.

From the complete question, the type of test that will be required in the organization is a two samples test assuming unequal variance. This is performed on the data of two random samples.

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The transformed tangent function is:

g(x) = -5*tan(x) - 3

We start with tangent function:

f(x) = tan(x).

First, we reflect our function over the x-axis, so we just have a change of sign as:

g(x) = -f(x).

Then, a horizontal stretch of scale factor of 5.

g(x) = -5*f(x)

Finally, a shift down of 3 units, this is:

g(x) = -5*f(x) - 3 = -5*tan(x) - 3

This is the transformed function.

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Answer:

14 is the discount

56 is discounted price.

Expand the target expression:

A sin(x + ϕ) = A (sin(x) cos(ϕ) + cos(x) sin(ϕ)) = -2 sin(x) + 4 cos(x)

Then we have

A cos(ϕ) = -2

A sin(ϕ) = 4

Recall that sin²(x) + cos²(x) = 1 for all x. Then

(A cos(ϕ))² + (A sin(ϕ))² = (-2)² + 4²

A² (cos²(ϕ) + sin²(ϕ)) = 4 + 16

A² = 20

A = √20 = 2√5

Also recall that tan(x) = sin(x)/cos(x) by definition. Then

(A sin(ϕ)) / (A cos(ϕ)) = 4 / (-2)

tan(ϕ) = -2

ϕ = arctan(-2) = -arctan(2)

Answer:

Vertically opposite angles

Answer:

B) Vertical angles (congruent)

Step-by-step explanation:

Hope this helps!

Let's look at the answer choices to see what the questions wants us to do with the data

 ⇒ essentially they compare Carol's mean or median to herself or to

 Anna's mean or media

    ⇒ therefore we should calculate Carol's mean, median and Anna's

    mean, median

Before we start calculating, let's define what is the mean and median

Let's calculate:

         ⇒ Carol's data ordered: 20, 30, 45, 60, 70

               [tex]Mean = \frac{20+30+45+60+70}{5} = \frac{225}{5}=45\\ \\Median: 45[/tex]

         ⇒ Anna's data ordered: 30, 35, 45, 60, 65

               [tex]Mean = \frac{30+ 35+ 45+ 60+ 65}{5} =\frac{235}{5} =47\\\\Median: 45\\[/tex]

Now using the data, let's compare:

first choice: Carol's mean is equal to her median--> correct

second choice: Carol's mean is not greater than Anna's mean--> incorrect

third choice: Anna's median isnot greater than her mean --> incorrect

fourth choice: Anna's mean is not equal to Carol's mean --> incorrect

Hope that helps!

The solution to the absolute-value inequality is x > 9; and x < -1

An inequality is an expression that shows the nonequal comparison of two or more numbers and variables.

Let x represent the unknown number, hence:

|x - 4| > 5

(x - 4) > 5; and -(x - 4) > 5

x > 9; and x < -1

The solution to the absolute-value inequality is x > 9; and x < -1

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Answer:

4 + n = 12

Step-by-step explanation:

Given

Solving

The answer I got was 88.

Steps: I multiplied 17 by 4 to get 68. Then times 5 by 4 then divided by 2 because it's a triangle then got 10. Do that again for other side and add them together to get 88.

Answer:

OB. y= 3x - 14

Step-by-step explanation:

I'm not good at explaining, but I'm right.

Answer:

I hope it's 1=7/10x because if so it's gonna be

Step-by-step explanation:

X = 10/7

Answer:

1=7/10x

1=0.7x

divide 0.7 on both sides

x=1.4285 = x=1.43

Answer:

e) none of these

Step-by-step explanation:

35% of 242 would be 84.7%

We know this because we simply have to solve it!

We solve it by doing:

(35/100)*242  

(35*242)/100

= 8470/100 = 84.7

We need to determine 35% of 242 now and the procedure explaining it as such

Step 1: In the given case Output Value is 242.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 242 = 100%.

Step 4: In the Same way, x = 35%.

Step 5: On dividing the pair of simple equations we got the equation as under

242 = 100% (1).

x = 35% (2).

(242%)/(x%) = 100/35

Step 6: Reciprocal of both the sides results in the following equation

x%/242% = 35/100

Step 7: Simplifying the above obtained equation further will tell what is 35% of 242

x = 84.7%

Therefore, 35% of 242 is 84.77

Answer:

Step-by-step explanation:

Finding the range is simple, just do 29-5 and you will get 24.

For the july one same applies 24-5=19

24-19 is 5 so It is 5  more than the range for July.

For the median, it is the middle data set meaning you will do 17-10 which is 7 meaning New years is 7 more than July.

Interquartile is For new years 12-17

The Interquartile range for July is 7-10 which means that is 5-3 which is 2 more of a range.

The other factor of the polynomial which Sari is factoring and found that the one factor of this equation is (x+1) is (2x+3).

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The polynomial which Sari is factoring is,

[tex]2x^2 +5x+ 3[/tex]

One factor of this equation is

[tex](x +1)[/tex]

Factor the given polynomial using the split the middle term method,

[tex]2x^2 +5x+ 3\\2x^2 +2x+3x+ 3\\2x(x+1)+3(x+1)\\(x+1)(2x+3)[/tex]

Thus, the other factor of the polynomial which Sari is factoring and found that the one factor of this equation is (x+1) is (2x+3).

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Answer:

 3 miles per hour

Step-by-step explanation:

he runs 1/3 mile in 1/9 of an hour

then

he runs (we multiply both sides by 9)

 9×(1/3) mile in 9×(1/9) of an hour

then

he runs

 (9/3) mile in (9/9) of an hour

then

he runs 

 3 mile in 1 hour

Answer: $104,000

Step-by-step explanation:

34,000+20x(3500)

34,000+70,000

The equivalent expression of the given expression (10^5 / 54x^8)^1/3 would be equal to 5^(1/3) / 3x.

A fraction represents a part of a number or any number of equal parts.

The expression is given as

[tex](10x^5 / 54x^8)^{1/3}\\\\(5 / 27x^3)^{1/3}\\\\5^{1/3}/ (27x^3)^{1/3}\\\\5^{1/3} / 3x[/tex]

This is the simplest form of expression.

Thus, the equivalent expression is 5^(1/3) / 3x.

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Answer:

D

i did the test

Step-by-step explanation:

I'm so sry! I'm working on the same thing.

Answer:

mean=81.81

median=85

Step-by-step explanation:

MEAN.

[tex] \frac{65 + 70 + 70 + 80 + 80 + 85 + 85 + 85 + 90 + 90 + 100}{11} [/tex]

[tex] = 81.81[/tex]

MEDIAN

Since it's already arranged in ascending order, the middle number is taken as the median

which is 85.

i hope this helps

Answer:

See below ↓↓

Step-by-step explanation:

Mean

Median

Answer:

20:40

Step-by-step explanation:

The required ratio of lollipops to candy bars is 1:2.

Given that,
There are 20 lollipops and 40 candy bars for a gift bag, fill out all of the possible ratios of lollipops to candy bars that could be made is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total number of lollipops = 20, in a bag

Total number of candy bars = 40, in a bag

The ratio of lollipops to a candy bar in a bag,
Ratio = number of lollipops/number of candy bars
Ratio = 20 / 40
Ratio = 1 / 2
Ratio = 1:2

Thus, the required ratio of lollipops to candy bars is 1:2.

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Answer:

i think B is the answer

Step-by-step explanation:

I hope this is ur required answer

Pls do tell anything in comments regarding any doubt

Answer:

3,7 is correct like the other person said

Recall that

[tex]\sin(x) = \displaystyle \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{(2n+1)!}[/tex]

which converges for all real x. (One can show this with the ratio test, for instance.)

Then

[tex]\sin\left(x^4\right) = \displaystyle \sum_{n=0}^\infty (-1)^n \frac{\left(x^4\right)^{2n+1}}{(2n+1)!} = \boxed{\sum_{n=0}^\infty (-1)^n \frac{x^{8n+4}}{(2n+1)!}}[/tex]

By the ratio test,

[tex]\displaystyle \lim_{n\to\infty} \left|\frac{(-1)^{n+1} x^{8(n+1)+4}}{(2(n+1)+1)!} \times \frac{(2n+1)!}{(-1)^n x^{8n+4}}\right| \\\\ = x^8 \lim_{n\to\infty} \frac{(2n+1)!}{(2n+3)!} \\\\ = x^8 \lim_{n\to\infty} \frac1{(2n+3)(2n+2)} = 0[/tex]

[tex]\dfrac{cd^4}{c^2 d^8}\\\\=c^{1-2} \cdot d^{4-8}\\\\=c^{-1} \cdot d^{-4}\\\\=\dfrac 1{c d^4}[/tex]

[tex]\text{Hence the answer is C.}[/tex]