Let A represent reading newspaper and represent watching television
Which statement is true?
Watching television and and reading newspaper are independent events because P(AB) + P(A) and
PBAP(B)
Watching television and reading newspaper are not independent events because P(AB)=P(A) and
P(BA) - P(B)
Watching television and reading newspaper are independent events because P(AB) = P(A) and P(BA) = P(B).
Watching television and reading newspaper are not independent events because P(AB) + P(A) and
P(BA) = P(B)
Lo

Answer:

8

Step-by-step explanation:

the area = 20 cm x 40 meters

= 0.2 meters x 40 meters

= 8 square meters

The required area of the rectangle is given as 800 square meters.

As mentioned in the question,
The rectangle below has a length of 20 centimeters and a width of 40 meters.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

here,
The area of the rectangle is given as,
Area = length × width
Area = 40 × 20
        = 800 square meters

Thus, the required area of the rectangle is given as 800 square meters.

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Apologies for the confusion. The image you provided contains an expression that can be simplified as follows:

√(36 / 12) - 3 × (4 - 3)

Let's break it down step by step:

Simplify the expression inside the square root:

√(36 / 12) = √3

Simplify the multiplication:

-3 × (4 - 3) = -3 × 1 = -3

Subtract the results:

√3 - 3

Therefore, the simplified expression is √3 - 3.


<3

The polynomial function is V(x) = x^3 - 7x^2 + 10x and domain of x is (5,6]

Here we are given that the length of the box is x

Also, the width of the box should be 5 feet shorter than the length

Thus, width = x - 5

and the height should be 3 feet longer than the width

Thus, height = x - 5 + 3

= x - 2

Now the volume of the box = length × width × height

Volume = x (x-5) (x-2)

V(x) = (x^2 - 5x) (x-2)

V(x) = x^3 - 2x^2 - 5x^2 + 10x

V(x) = x^3 - 7x^2 + 10x

Now, looking at the options, we see that option C is eliminated.

Now, let us look at the domain of x

Since width cannot be negative (x-5) > 0

⇒ x > 5

Now in option A domain is (0, 6], but x cannot take values from (0,5). Thus, option A is eliminated.

Similarly, we can eliminate option B also since x cannot take values from (0, 2)

Thus, option 4 is the correct answer.

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Your question was incomplete. Check for the missing options below, in the figure attached.

The only option that is a true representation of the domain and range of the function h(x) is; h(2) = 16

If we look at the domain and range, we can rule out some options immediately;.

For h(−3) = −1

This is outside of the range. i.e. −1 ∉ 1 ≤ h(x) ≤ 25

For: h(13) = 18

This is out of the domain. i.e.  13 ∉ −3 ≤ x ≤ 11

For h(8) = 21

We are told in the question that h(8) = 19

So we have a contradiction.

Only h(2) = 16

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The missing options are;

h(2) = 16

h(-3) = -1

h(13) = 18

h(8) = 21

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

Answer:

A,C,D,E

Step-by-step explanation:

4+4+1+1= 10

2+2+3+3= 10

Answer:

-27 minus 12 = -39 if that's what you're asking.

Step-by-step explanation:

Anwser: Hitler was the first person to get a 100 bomb IRL

Explenation: Took me 900 years to figure this out

Answer:

11[2x+3]

Step-by-step explanation:

[9+x]^2 - [4-x]^2
= x^2+2[9][x]+[9]^2 - {x^2-2[4][x]+[4]^2}
= x^2+14x+49 - {x^2-8x+16}
= x^2+14x+49 - x^2+8x-16
= 22x+33
= 11[2x+3]

Answer:

$6.19

Step-by-step explanation:

the unit price is how much 1 pair of gloves cost

To find the unit price we just divide 24.76 by 4

24.76/4

6.19

$6.19 is the unit price or how much each glove costs

Hopes this helps please mark brainliest

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

There are 16 servings

Step-by-step explanation:

First, find how many oz are in 5 quarts.

Think: In one quart there are 32 ounces, in 5 quarts how many ounces would that be?

5 x 32 = 160 ounces

Next, divide 160 ounces by 10 servings

160 / 10 = 16 servings

So there are 16 servings in a 5 quart pitcher.

Hope this helps ;)

a)Between 27 and 43 mpg: Since this range is within 1 standard deviation of the mean, we can say that approximately 68% of new cars sold have mpg ratings between 27 and 43 mpg.

b)Between 23 and 47 mpg: This range is within 2 standard deviations of the mean, so we can say that approximately 95% of new cars sold have mpg ratings between 23 and 47 mpg.

a. Since we are not assuming a normal distribution, we cannot use the empirical rule to calculate the percentages. However, we can use Chebyshev's theorem, which states that for any distribution (regardless of its shape), at least\(1 - (1/k^2)\) of the data falls within k standard deviations of the mean.

Using Chebyshev's theorem with k=2, we can say that at least \(1 - (1/2^2)\) = 0.75, or 75%, of the data falls within 2 standard deviations of the mean. Therefore:

Between 27 and 43 mpg: Since this range is within 2 standard deviations of the mean, we can say that at least 75% of new cars sold have mpg ratings between 27 and 43 mpg.

Between 21 and 49 mpg: This range is more than 2 standard deviations from the mean, so we cannot use Chebyshev's theorem to make any statements about the percentage of cars in this range.

Within 10 mpg of the mean: Since 10 mpg is less than 2.5 standard deviations from the mean (which is 35 mpg), we can use Chebyshev's theorem with k=2.5 to say that at least\(1 - (1/2.5^2)\) = 0.64, or 64%, of new cars sold have mpg ratings within 10 mpg of the mean.

b. If we assume that mpg ratings for new cars follow a normal distribution, we can use the empirical rule to calculate the percentages of cars sold with mpg ratings between certain ranges. The empirical rule states that for a normal distribution:

Approximately 68% of the data falls within 1 standard deviation of the mean.

Approximately 95% of the data falls within 2 standard deviations of the mean.

Approximately 99.7% of the data falls within 3 standard deviations of the mean.

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Answer:

additive

Step-by-step explanation:

X +9 = Y

Hope this helps!

Braniliest?

Answer:

To solve a geometric shape, you need to know its properties such as the number of sides, angles, and other measurements that are relevant to the particular shape. Here are some steps to solve a geometric shape:

1. Identify the shape: Determine the name of the shape, such as a square, circle, triangle, or rectangle.

2. Determine the properties: Find out the properties of the shape based on its name. For example, a square has four equal sides and four right angles.

3. Measure the dimensions: Measure the dimensions of the shape such as the length of the sides, the diameter, or the radius.

4. Use formulas: Use the appropriate formulas to calculate missing measurements such as the area or perimeter of the shape.

5. Check your work: Finally, check your work to ensure that all calculations and measurements are correct.

Remember that the solution to a geometric shape problem will depend on the specific properties and measurements of that shape.

Answer:

The answer is -136

Step-by-step explanation:

you multiply -34 by 4 which gives you -136

(Hope this help)

The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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Answer:

x - 9

Step-by-step explanation:

First, distribute:

-3x - 9 + 4x

Then, simplify (add up x):

x - 9

And we're done ^^

Answer:

-3x -9 +4x

-3x + 4x - 9

x - 9

The answer is x - 9

you multiply -3 by x - 3

And there you go .

Using the periodicity of the tangent function we can see that:

tan(-4π/3) = -√3

Ok, we know that the trigonometric functions have a period of 2π, that means that we can rewrite the expression:

tan(-4π/3)

as:

tan(-4π/3 + 2π)

The argument can be rewritten as:

tan(-4π/3 + 2π) = tan(2π/3)

Using a table for the tangent function we can see that it is equal to -√3, that is the value of the tangent.

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Answer:

A,C,E.

Step-by-step explanation:

slope=(-12-0)/(4-0)=-3

A.The slope is proportional.

C. Slope is negative.

E. The eq. of line is y=-3x

Step-by-step explanation:

1. 35 + 65

2. y - 14

3. (6 x s) - 3

4. 10(x+8.5).. 6-p

Answer: 4

Step-by-step explanation:

since they are comparing it red to blue marbles and in 3:4 ratio 4 is the second one and it is comparing red to BLUE the second 1 is blue

Check the picture below.

The probability that all fail on their first submissions is 27.1%.


For each student, there are only two possible outcomes. Either their first program run will fail, or it wont. The probability of the first program run of a student failing is independent of the first program run of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.


In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

The expected value of the binomial distribution is

The variance of the binomial distribution is

The standard deviation of the binomial distribution is

In this question, we have that:

83% of all students taking a beginning programming course fail to get their first program to run on first submission. Sample of 7 students. This means that

All fail on their first submissions

So,

0.271 = 27.1% probability that all ail on their first submissions

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Answer:

It is equal to 29..........

Answer:

29

Step-by-step explanation:

Answer:

70cm

Step-by-step explanation:

Given height of the lamp;

    Height of lamp = 28inches

 Unknown:

The height in cm;

Solution:

       1 inch = 2.5cm

So;

          28 inches will be 28  x 2.5  = 70cm

The correct option that result the data with variability:

C. The shoe size of the various 5 year olds.

D. The number of patients at the doctor's office each day.

The term "variability" refers to the distance between data points within a distribution and their distance from its centre. Measures of variability provide you summary statistics that summarise your data in addition to measurements of central tendency.

Spread, scatter, and dispersion are other terms for variation. It is often assessed using the following:

Thus, the result the data with variability:

C. The shoe size of the various 5 year olds as it will vary for different children.

D. The number of patients at the doctor's office each day is also variable.

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