y = 3x + 3
Is this non linear

The probabilities are:

1. P(yellow) = 2/5

2. P(red) = 3/10

3. P(blue) = 3/10

4. P(blue or yellow) = 7/10

5. P(red or blue) = 3/5

To find the probability that a person in each color seat would receive the free tickets, we need to calculate the probabilities of each event.

1. P(yellow): There are 8 yellow seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a yellow seat at random is P(yellow) = 8/20 = 2/5.

2. P(red): There are 6 red seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a red seat at random is P(red) = 6/20 = 3/10.

3. P(blue): There are 6 blue seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a blue seat at random is P(blue) = 6/20 = 3/10.

4. P(blue or yellow): To calculate the probability of selecting a blue or yellow seat, we add the individual probabilities of selecting a blue seat and a yellow seat: P(blue or yellow) = P(blue) + P(yellow) = 3/10 + 2/5 = 7/10.

5. P(red or blue): To calculate the probability of selecting a red or blue seat, we add the individual probabilities of selecting a red seat and a blue seat: P(red or blue) = P(red) + P(blue) = 3/10 + 3/10 = 6/10 = 3/5.

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The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

(a)there are four possible outcomes in the set and the coin is fair, the probability of this event is 4/32 or 1/8.

(b)There are 16 possible outcomes, and the probability of this event is 16/32 or 1/2.

(c) the probability of this event is 3/32.

(a) The event that the first and last flips come up heads can be expressed as the set {HHHHT, HHHTH, HHTHH, HTHHH}, which contains all the possible outcomes that have heads as the first and last flip. Since there are four possible outcomes in the set and the coin is fair, the probability of this event is 4/32 or 1/8.

(b) The event that there are at least two consecutive flips that come up heads can be expressed as the set {HHHHH, HHHHT, HHHTH, HHTHH, HTTHH, THHHH, THHHT, TTHHH}, which contains all the possible outcomes that have at least two consecutive heads. There are 16 possible outcomes, and the probability of this event is 16/32 or 1/2.

(c) The event that the first flip comes up tails and there are at least two consecutive flips that come up heads can be expressed as the set {THHHT, THHTH, THTHH}, which contains all the possible outcomes that have tails as the first flip and at least two consecutive heads. There are 3 possible outcomes in the set, and the probability of this event is 3/32.

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Answer:

The total surface area is: 468 in^2  which agrees with answer a)

Step-by-step explanation:

The three lateral faces of the prism are rectangles, and the sums of their areas give:

12 * 10 + 9 * 10 + 15 * 10 = 360 in^2

The area of each triangular base (notice it is a right triangle) is given by:

9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:

Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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Answer:

4

Step-by-step explanation:

Out of these events, the independent events are drawing a marble out of a bag, replacing it and drawing another and rolling a dice twice. So the correct option is 2 and 5.

Events that are independent are those in which the outcome of first event has no effect on the outcome of a second event. The independent event in each of the situations according to this definition are:

The outcome of the first event in either of these situations have no effect on the outcomes of the second event.

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Answer:

I think it's the 2nd one: (6,0) (0,-3)

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

the 25th, 50th, and 75th percentile from the following list of 32 data are 25th percentile: 13 , 50th percentile: 21 , 75th percentile: 29.

To find the 25th percentile:

25th percentile: 25% of 32 = 8th number = 13

Count the total number of values in the data set, which is 32

Calculate 25% of 32, which is 8

Count 8 numbers from the beginning of the list and the 25th percentile is the 8th number, which is 13

To find the 50th percentile:

50th percentile: 50% of 32 = 16th number = 21

Count the total number of values in the data set, which is 32

Calculate 50% of 32, which is 16

Count 16 numbers from the beginning of the list and the 50th percentile is the 16th number, which is 21

To find the 75th percentile:

75th percentile: 75% of 32 = 24th number = 29

Count the total number of values in the data set, which is 32

Calculate 75% of 32, which is 24

Count 24 numbers from the beginning of the list and the 75th percentile is the 24th number, which is 29

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see link in comments

Answer:

1

Step-by-step explanation:

let the number be x

4 times = 4x

the sum of 4 times a number and 5 equals to 9

4x + 5 = 9

4x = 9 - 5

4x = 4

divide both sides by 4

x = 1

Answer:

here now u can do brainliest to the other guy my g

Step-by-step explanation:

The inequality represents is 35r + 10 b ≥ 2

Ben wants to play a carnival game that costs $2. So from this, we can say that the total cost for the red and blue tickets should be less than $2.

Here it is given that r represents the red tickets and b represents the blue tickets.

There are 5 red tickets each costing 35 cents and 15 blue tickets each costing 10 cents.

So we have,

0≤ r ≤5

0≤ b ≤ 15

The total cost should be less than $2.

35r + 15b ≥ 2

Therefore the inequality is 35r + 15b ≥ 2.

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c) Shane’s overall average number of jumps completed is of 2.458275.

d) As Shane's overall average number is greater than one half, then the eight graders will be awarded the 50 points.

The jumps that Shane takes are given as follows:

Then the probabilities for each number are given as follows:

Then the distribution of the number of jumps completed is given as follows:

The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 1 x 0.1667 + 2 x 0.208325 + 3 x 0.624975 = 2.458275.

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Reason:

The standard deviation is the square root of the variance.

\(\text{Standard deviation} = \sqrt{\text{variance}}\\\\\text{Standard deviation} = \sqrt{1.56}\\\\\text{Standard deviation} \approx 1.24899959967968\\\\\text{Standard deviation} \approx 1.25\\\\\)

Round the answer however you need to, or however your teacher instructs. I rounded to two decimal places since 1.56 is to two decimal places.

The standard deviation of the discrete random variable if the variance is 1.56 is 1.25

Given that, a discrete random variable has a variance of 1.56, we need to find its standard deviation

We know that,

The standard deviation is the square root of the variance.

Standard deviation = √ variance

Standard deviation = √1.56

Standard deviation = 1.24899959967968

Standard deviation = 1.25

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Answer:

365ft^2

Step-by-step explanation:

So... First you take not that the 8ft on the right of the parallelogram has two lines indicating that the other side is the same distance. Cut both sides off making two of the same triangles. 7ft * 8ft = 56ft^2. 56ft^2 divided by 2 makes 28ft^2. But because there is two of them you would double it back to 56ft^2.

56ft^2

Then you would do 12ft * 7ft to get the rectangle. 12*7 makes 84. 84ft^2

84ft^2

Then you take note that on the bottom there is a line that is the same on each four sides making that a square. So all sides are the same. 15ft*15ft = 225ft^2

225ft^2

So now you add them all up to make 365 ft^2

Which is the final answer

Hope this helps! :)

In other words, you'll use the SAS similarity property with 3/2 as the scale factor

=================================================

Explanation:

Choice A is not correct because we don't have enough info about all three pairs of sides.

Instead we'll go with SAS similarity. This is the idea where we'll use two pairs of sides to see if they are in the same proportion, and we'll also use the included angle between the two sides. The angles ABE and DBC are congruent as they are vertical angles. So that's where the "A" comes from in "SAS".

As for the S terms, we divide the corresponding sides like so

DB/AB = 9/6 = 3/2

BC/BE = 1.5/1 = 15/10 = 3/2

The scale factor as a fraction is 3/2, which converts to the decimal form 1.5

This says that triangle DBC has sides that are 3/2 = 1.5 times longer than corresponding sides in triangle ABE.

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

If you're curious how the sides correspond, then look at the ordering of ABE and DBC. The order is important when it comes to similar triangles.

AB and DB are the first two letters of ABE and DBC respectively. So we have AB pair up with DB.

Similarly, BE and BC pair up because they are the last two letters of ABE and DBC respectively.

We divide sides of DBC over sides of ABE to get the scale factor from ABE to DBC. The scale factor must be some result larger than 1 do indicate an enlargement is going on.

Answer:

A = 80 in²

Steps:

A = 16 × 5

A = 80 in²

Answer:

im not completely sure but i think 80in.²

The number of DVDs that will be checked out for every 100 patrons will be 20.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

\(X \sim B(n,p)\)

The probability that out of n trials, there'd be x successes is given by

\(P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\)

The expected value of X will be:

\(E(X) = np\\\)

The information is given in the table.

The probability of getting DVDs will be

\(\rm p = \dfrac{2}{10}\\\\p=2\)

The value of n is 100.

Then the number of DVDs that will be checked out for every 100 patrons will be

\(\rm E(X) = 100 \times 0.2\\\\E(X) = 20\)

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Answer:

  (c)  he subtracted by 6x instead of adding 6x on both sides

Step-by-step explanation:

You want to know the mistake in the solution of the equation ...

  -2(3x -5) = 4(x +3) +8

The solution should proceed like this:

  -2(3x -5) = 4(x +3) +8

  -6x +10 = 4x +12 +8 . . . . . . . use the distributive property

  -6x +10 = 4x +20 . . . . . . . . . . combine like terms

  10 = 10x +20 . . . . . . . . . . . . . . . add 6x (Andre did this wrong)

  -10 = 10x . . . . . . . . . . . subtract 20

  -1 = x . . . . . . . . . . . divide by 10

The choice that best describes Andre's error is ...

  he subtracted by 6x instead of adding 6x on both sides

Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

A circle with Centre \((a,b)\)  has the general equation:

\((x-a)^2 + (y-b)^2 = r^2\)

where \(r\) is the radius and \((a,b)\) is the Centre.

Given that the Centre is at \((0,9)\), the equation is as follows:

\((x-0)^2 + (y-9)^2 = r^2\)

If we simplify, we get:

\(x^2 + (y-9)^2 = r^2\)

The fact that the circle comprises the coordinates  \((65,12)\)  is also provided. Therefore, we may change these values into the equation and find \(r\):

\(65^2 + (12-9)^2 = r^2\)

\(4225 + 9 = r^2\)

\(r^2 = 4234\)

When we square the two sides, we obtain:

\(r = \sqrt{4234}\)

The circle's equation is as follows:

\(x^2 + (y-9)^2 = 4234\)

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Answer:

Yes, it is possible

Step-by-step explanation:

Answer:

May be after 27 days.... Iam not sure

Answer:

4.5

Step-by-step explanation:

Answer:

3(3+4) IS NOT EQUAL TO 3^3

Step-by-step explanation:

3(3+4)

Expand brackets to get 21 (3x3 = 9, 3x4 = 12, 9 + 12 = 21)

3^3 = 3 x 3 x 3

3x3 = 9

9 x 3 = 27

21 < 27

10 divided by 0 problem would NOT have a solution.

Given:

a. 10 divided by 2

b. 10 divided by 5

c. 10 divided by 0

d. 0 divided by 10

We know that ,

Integer divided by an integer is an integer

Therefore (a) and (b) will have a proper solution

We also know that ,

Zero divided by anything is Zero

Therefore (d) also have a unique answer that is zero

Now , We know that

Any numeric value divided by Zero tends to infinity .

Hence, 10 divided by 0 problem would NOT have a solution.

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Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

Answer:

156

Step-by-step explanation:

These angles would equal each other so just set both equations equal to each other to find x:

x + 104 = 3x

Solve:

104 = 2x                      Subtract x from 3x

x = 52                          Divide 2 from 104

Now that we have found x we can find the measurement of either angle. Let's start with the top:

52 + 104 = 156

Now lets do the bottom:

3(52) = 156

Both angles equal 156, so that means that is the answer!

Hope this helps!!