A room is 15 feet long and 12 feet wide. What are the length and width of the room in yards?

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer: a and d

Step-by-step explanation:

(to find all points of discontinuity, set denominator equal to zero and solve)

\(x^2-7x+10=0\\\\\)

(to factor, find two numbers when added together equal -7 and when multiplied together equal 10)

-2 + -5 = -7

-2(-5) = 10

-2 and -5 are the two numbers

\((x-2)(x-5)=0\\\\x-2=0\\x=2\\\\x-5=0\\x=5\\\\x=2,5\)

Answer:

575

Step-by-step explanation:

You have to find how many meters between the school and post office.

1 in. = 25 meters

23 inches

25 × 23 = 575

Answer:

D. 125%

Step-by-step explanation:

First day = 80 responses

Second day = 180 responses

Increase in responses = 180 - 80

= 100 responses

what percent is the increase 100 of the original number of responses 80

= Increase in responses / original number of responses × 100

= 100/80 × 100

= 1.25 × 100

= 125%

The percent increase 100 of the original number of responses 80 = 125%

Answer:

number is 66

Step-by-step explanation:

let the number be n , then

78 - \(\frac{1}{2}\) n = 45 ( subtract 78 from both sides )

- \(\frac{1}{2}\) n = - 33 ( multiply both sides by - 2 to clear the fraction )

n = 66

The required number is 66

Answer:

Step-by-step explanation:

Given number:

Prime factors of 19683:

Cube root:

Answer:

27 is the cube root

Step-by-step explanation:

Answer:

\(9x+6\)

Step-by-step explanation:

\(\left(3x+2\right)+2\left(3x+2\right)\)

\(x+2+2\left(3x+2\right)\)

\(3x+2+6x+4\)

\(9x+6\)

\(\huge \bf༆ Answer ༄\)

Here's the solution ~

Step-by-step explanation:

To calculate the minimum number of days required to finish this project, we need to use the critical path method (CPM), which involves identifying the longest sequence of dependent tasks and their durations.

First, we need to draw the network diagram for the project:

```

|---(T1-8)---(T3-10)---|

(T2-6) (T5-12)

| / |

|---(T4-7)---(T6-15)---|

```

Next, we need to calculate the earliest start time (EST), earliest finish time (EFT), latest start time (LST), and latest finish time (LFT) for each task. For the starting task, EST = 0 and EFT = 0.

```

EST EFT LST LFT

T1 (8 days) 0 8 22 30

T2 (6 days) 0 6 6 12

T3 (10 days) 8 18 22 32

T4 (7 days) 18 25 25 32

T5 (12 days) 18 30 32 44

T6 (15 days) 32 47 32 47

```

The critical path is the longest sequence of dependent tasks that have no slack (i.e., the difference between LST and EST, or LFT and EFT, is zero). In this case, the critical path is T1-T3-T5-T6.

Therefore, the minimum number of days to finish this project is the sum of the durations of tasks on the critical path:

8 + 10 + 12 + 15 = 45 days

Therefore, the minimum number of days required to finish this project is 45 days.

Answer:

\(7999 \div 4\#\) lies between 163.245 and 199.975

Step-by-step explanation:

Given

2 digit = 4#

Required

The range of \(7999 \div 4\#\)

Let

\(\# = 0\) --- the smallest possible value of #

So:

\(7999 \div 40 = 199.975\)

Let

\(\# = 9\) --- the largest possible value of #

So:

\(7999 \div 49 = 163.245\)

Hence, \(7999 \div 4\#\) lies between 163.245 and 199.975

The probability that there are no counts in a 30 second interval is 0.284

What is probability ?

Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Before we can determine the probability that a particular event will occur, we must first know the total number of outcomes.

Given that,

Assume that a Geiger counter records counts using a poisson process, with an average rate of 2 counts per minute.

0.284

P(X < 10 Seconds)  = P(X<1/6 minutes) = F(1/6) = 1-e-2*1/6 = 1-e-1/3 = 0.284

Therefore, the  probability that there will be no counts in a 30-second period is 0.284.

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Answer:

The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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Answer:

60?

Step-by-step explanation:

4000/200 = 20

20 × 3 =60

Answer: \(\frac{3x-1}{8x-8}\)

Step-by-step explanation: PLEASE MARK BRAINLIEST

Answer:

3x-1/8(x-1)

Step-by-step explanation:

Answer:

18 rosebushes.

Step-by-step explanation:

we are finding 60% of 30, since the total is 30.

(60/100)* 30

=(6/10)*30

=180/10

=18

18 of the 30 rosebushes that were planted blossomed.

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Hello!  

To find the mass of the liquid by itself, subtract the mass of the container from the mass of the liquid and container.

⇒ 1,300 - 250

⇒ 1,050 grams

∴ The mass of the liquid by itself is 1,050 grams.

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

An equation is an expression that shows the relationship between two or more number and variables.

From the graph:

The cost for a group of 16 friends is $2500, while for a group of 10 friends is $1300.

Cost per passenger for 16 friend = $2500 / 16 = $156.25

Cost per passenger for 10 friend = $1300 / 10 = $130

The difference in price = $156.25 - $130 = $26.25

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

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Answer:

D) 26.25

Step-by-step explanation:

Got it right on edge

Answer:

33

Step-by-step explanation:

please mark me as brainliest!!<3

Answer:

20 days

Step-by-step explanation:

899- 225= 674

674÷ 35= 19.257....

which you would round it up to 20 because he would have to work the extra day because you need more than less.

The volume of cube whose edge length is 0.843 is 0.599 cubic centimeters.

According to the given question.

Length of the edge of the cube = 0.843 cm.

As we know that, a cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.

And the volume of cube is calcualted by the formula

V = a^3

Where,

V is the volume of cube

And, a is the length of the edge of cube

Therefore,

The volume of the cube whose edge length is 0.843 cm

= (0.843cm)^3

= 0.599 cubic centimeters

Hence, the volume of cube whose edge length is 0.843 is 0.599 cubic centimeters.

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Answer:

5040 ways

Step-by-step explanation:

here we need to find the number of permutations of the 7 balls :

= 7!

= 7×6×5×4×3×2×1

= 5 040

Answer:

2070 / 6930 = 0.2987.....x 100 = 29.87%

Answer:

C and B

Step-by-step explanation:

(6)

\(\frac{3x-7y}{8}\) × \(\frac{6}{3x-7y}\) ← cancel 3x - 7y on numerator and denominator

= \(\frac{1}{8}\) × \(\frac{6}{1}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\) → C

(7)

\(\frac{6x}{x^2-9}\) ÷ \(\frac{8}{4x-12}\)

Factorise the denominators of both fractions

x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares

4x - 12 ← factor out 4 from each term

= 4(x - 3)

Then rewrite as

\(\frac{6x}{(x-3)(x+3)}\) ÷ \(\frac{8}{4(x-3)}\) ← cancel 8 and 4 by 4

= \(\frac{6x}{(x-3)(x+3)}\) ÷ \(\frac{2}{x-3}\)

• leave first fraction, change ÷ to × , turn second fraction ' upside down'

= \(\frac{6x}{(x-3)(x+3)}\) × \(\frac{x-3}{2}\) ← cancel x - 3 on numerator and denominator

= \(\frac{6x}{x+3}\) × \(\frac{1}{2}\) ← cancel 2 and 6 on numerator and denominator

= \(\frac{3x}{x+3}\) → B

Answer:

a. 3(7 + 26) = (3 • 7) + (3 • 26)

the distributive property tells us how to solve expressions in the form of a(b + c)

Answer:

a

Step-by-step explanation:

The solution to the system of inequality is m < -4

Given the inequality expression

-3m + 4 > 16

Subtract 4 from both sides

-3m + 4 - 4 > 16 - 4

-3m > 12

Divide both sides by -3

-3m/-3 < 12/-3

m < -4

The number line graph is as shown:

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Answer: m < -4

Step-by-step explanation: I took the test, look at the attached image for proof <3.

In a curvilinear regression model, the squared term of the predictor variable represents the curvilinear effect.

In a curvilinear regression model, the relationship between the predictor variable and the response variable is not linear but exhibits a curvilinear pattern. To capture this non-linear relationship, the model includes a squared term of the predictor variable.

The squared term of the predictor variable allows the regression model to account for both the linear and curvilinear components of the relationship.

It introduces a curvilinear effect by capturing the curvature or non-linear pattern observed in the data. This squared term enables the model to better fit the data points that deviate from a simple linear relationship.

By including the squared term in the curvilinear regression model, the relationship between the predictor and response variables can be characterized by a more flexible curve, allowing for a better representation of the underlying relationship

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Answer:

Step-by-step explanation:

c