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for each number on the left,place a check mark under the numbers it is divisible by.​

The events A and B are not independent. This can be answered by the concept of Probability.

Two events A and B are considered independent if the occurrence of one event does not affect the probability of the other event occurring. In this case, we are given that the probability of event A occurring is 0.2, the probability of event B occurring is 0.3, and the probability of both events occurring is 0.05.

To determine if the events A and B are independent, we can check if the probability of event A occurring is the same whether or not event B has occurred. Similarly, we can check if the probability of event B occurring is the same whether or not event A has occurred.

Let's start with the probability of event A occurring given that event B has occurred. We can use conditional probability to calculate this:

P(A|B) = P(A and B) / P(B)

Substituting the given probabilities, we get:

P(A|B) = 0.05 / 0.3 = 1/6

Now, let's compare this to the probability of event A occurring without any knowledge of event B, which is simply given as P(A) = 0.2. Since P(A|B) is not equal to P(A), we can conclude that event A is dependent on event B.

Similarly, we can check if event B is dependent on event A:

P(B|A) = P(A and B) / P(A)

Substituting the given probabilities, we get:

P(B|A) = 0.05 / 0.2 = 1/4

Again, since P(B|A) is not equal to P(B) = 0.3, we can conclude that event B is also dependent on event A.

Therefore, we can conclude that events A and B are not independent.

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7500*4%*2=600

answe is 600

It's C.

Basically, when youre dividing something, the bases would stay the same but the exponents would change. For division, you'd have to substract the exponent of the denominator from the denominator (of like bases, of course)

In this case, it's 10^8-(-3).

The only reason it's not 10⁵ is because of the negative 3. If it were a positive 3, it would become 10⁵.

Answer:

15

Step-by-step explanation:

X*Y=814

X+Y=59

X=814÷Y

X=59-Y

814/Y=59-Y

814=(59-Y)*Y

814=59Y-Y²

Y=22

X+22=59

X=37

37-22

15

Answer:

70%

Step-by-step explanation:

Let's start by finding how many steps she walked in one week...

5000 steps per day*7 days=35000 steps

Now we find what percent of 50000 steps 35000 is...

35000=n%*50000

35000=n/100*50000

35000=500n

Divide both sides by 500

n=70

70%

Answer:

6 hours

Step-by-step explanation:

Answer: 6 hours

Step-by-step explanation:

7.8/1.3=6

6x1.3=7.8

we have

f(x)=7x-1

g(x)=(1/7)(x+1)

Part 1

Find out (fog)(x)

(fog)(x)=f(g(x))=7(1/7)(x+1)-1=x+1-1=x

therefore

(fog)(x)=x

Part 2

Find out (gof)(x)

(gof)(x)=g(f(x))=(1/7)(7x-1+1)=x

therefore

(gof)(x)=x

Part 3

(fog)(x)=(gof)(x)=x

the answer is Yes

The population parameter being estimated is the confidence coefficient.

The confidence coefficient is the confidence level stated as a proportion, rather than as a percentage. For example, if you had a confidence level of 99%, the confidence coefficient would be . 99. In general, the higher the coefficient, the more certain you are that your results are accurate.

probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Hence, The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

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Answer:

84 regular light bulbs

Step-by-step explanation:

When there are 7 regular light bulbs to every 1 energy saving one, there will be 7 more added for every 1 energy saving light bulb that there is. So if there is 12 energy saving light bulbs, just multiply 7 by 12 and you will get your answer.

The series 16+24+36+54+... diverges.

Divergent series are those that contain an infinite series that never converges and an infinite sequence of partial sums with no finite limit. In contrast, a series is considered to be convergent when its limits converge to its finite range of values. A limit that is finite in nature and exists for the partial sum of the series is crucial since only at that point will the series converge.

The given series in question 16 + 24 + 36 + 54 + deviates from the series. 16n, where n is the number of terms, can be used to denote the series' overall term. The total of the terms in the series also increases as n increases since 16n grows along with n, too. This indicates that the series diverges since it does not reach a particular finite value.

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Water will reach a depth of 12 meters after 3.1 hours approximately.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

Function representing the level of water by 'y' and number of hours by 'x' is,

y = 2.5 cos (2πx/12.5)+12

For y = 12 meters, (Substitute the value of y)

12 = 2.5 cos (2πx/12.5)+12

12 -12 = 2.5 cos (2πx/12.5)

cos (2πx/12.5) = 0

2πx/12.5 = π/2

πx/12.5 = π/4

x = 3.125

x ≈3.1 hours

Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

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Answer:

x = (cb - da)/(d-c)

Step-by-step explanation:

d( x + a ) = c( x + b )

dx + da = cx + cb

dx - cx = cb - da

x(d-c) = cb - da

x = (cb - da)/(d-c)

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer:

B

Step-by-step explanation:

absolutely maximum = highest value, which you can see on the graph is B (10)

Answer:

x=8,4

Step-by-step explanation:

have a great day and thx for your inquiry :)

Answer:

C. 40%

Step-by-step explanation:

There are 425 guests in all. Of these 425 guests, 170 called for room service.

170/425 = 34/85 = 2/5 = 40%

The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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Answer:  2/3

Step-by-step explanation:

Since the line is going through the origin it slope will use the formula  y/x = k where k is the slope. So you can use any point on the number line to determine the slope.

use the point (3,2)  using the formula y/x = k   divide the y by x.

k = 2/3

Answer: 0.67

Step-by-step explanation:

Look at the points (3,2), (6,4), and (9,6)

The equation that represents the table is y = -1/2x + 3

From the question, we have the following parameters that can be used in our computation:

x −2 0 4

y 4 3 1

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 3

Using the points, we have

4m + 3 = 1

So, we have

m = -1/2

This means that

y = -1/2x + 3

Hence, the equation is y = -1/2x + 3

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The correct option regarding whether the lines m and n are parallel is given as follows:

B. Yes. Alternate Interior Angles Converse.

The Alternate Interior Angles Converse Theorem states that when a transversal line crosses two parallel lines, the alternate interior angles are congruent.

The alternate interior angles are the angles that are between the two parallel lines, and on opposite sides of the parallel lines.

In the context of this problem, we have that:

These two angles are alternate interior, and since they are congruent, we can prove that lines m and n are parallel, and the correct option is given by option B.

The options are given as follows:

A. No, there is not enough information.

B. Yes. Alternate Interior Angles Converse

C. Yes. Alternate Exterior Angles Converse

D. Yes.Consecutive Interior Angles Converse

E. Yes. Corresponding Angles Converse

The image with the lines is given at the end of the answer.

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Answer:it is the fist car

Step-by-step explanation:

Because im so fudgen smart

The Great Rift Valley of Africa was formed by tectonic-plates diverging from each other, and the land between them sinking or subsiding.

The "Great-Rift-Valley" is a geological feature in East Africa that stretches over 6,000 kilometers (3,700 miles). It is a result of the movement of tectonic plates in the Earth's crust.

The African continent is situated on the African Plate, which is bordered by the Arabian Plate in the northeast. As these plates diverge, the Earth's crust weakens, and the land between them sinks down, creating a large depression known as a rift valley.

This process is known as rifting and has resulted in the formation of the Great Rift Valley of Africa.

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The given question is incomplete, the complete question is

Fill in the banks.

The Great Rift Valley of Africa was formed by tectonic plates ___________ and the land _________.

Answer:

Slope= -2

y-intercept= 5

Step-by-step explanation:

Given,

P(owning an automobile) = 0.6

P(owning a house) = 0.3

P(owning both an automobile and a house) = 0.2

We need to find the probability of owning an automobile or a house, but not both.

The probability of owning only an automobile can be calculated as:

P(owning only an automobile) = P(owning an automobile) - P(owning both an automobile and a house)

= 0.6 - 0.2

= 0.4

Similarly, the probability of owning only a house can be calculated as:

P(owning only a house) = P(owning a house) - P(owning both an automobile and a house)

= 0.3 - 0.2

= 0.1

Now, we can use the addition rule of probability to calculate the probability of owning an automobile or a house, but not both:

P(owning an automobile or a house, but not both) = P(owning only an automobile) + P(owning only a house)

= 0.4 + 0.1

= 0.5

Therefore, the probability that a person chosen at random owns an automobile or a house, but not both, is 0.5 or 50%.

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Answer:

Option D will be your answer

Step-by-step explanation:

D. x. 9; angle measure is 27

hope it helps u

\(45000 \: m \times \frac{1 \: km}{1000 \: m} \)

45 km in the 2nd hour

\(7500000 \: cm \times \frac{1 \: m}{100 \: cm} \times \frac{1 \: km}{1000 \: m } \)

75 km in the 3rd hour

\( \frac{(75 - 30)}{(3 - 1)} \)

22.5 km/h

//

I tried.

Answer:

10:15:12

Step-by-step explanation:

c:g:t

2:3:3

5:5:4

10:15:12

Answer:

Julia is 15

Step-by-step explanation:

13 + 14 + 15 = 42

Julia is the oldest and 15 is the greatest of the 3 numbers

therefore Julia is 15

Julia's age out of the three is equal to 15 years.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42.

Julia's age will be calculated as,

13 + 14 + 15 = 42

Julia is the oldest and 15 is the greatest of the 3 numbers.

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