Over time, the number of organisms in a population increases exponentially. The table below shows the approximate number of organisms after y years.y yearsnumber of organisms, n155260367475The environment in which the organism lives can support at most 600 organisms. Assuming the trend continues, after how many years will the environment no longer be able to support the population?

The mean number of correct answers that the student can expect to guess correctly is 9, and the variance of the number of correct answers is 7.2.

The mean and variance of this binomial distribution can be calculated using the formula:

where n is the number of trials, and p is the probability of success (i.e. guessing the correct answer) on each trial.

In this case, n = 45 (the number of questions) and p = 1/5 (the probability of guessing the correct answer on each question, assuming all choices are equally likely).

Thus, the mean is:

mean = n * p = 45 * (1/5) = 9

And the variance is:

variance = n * p * (1 - p) = 45 * (1/5) * (4/5) = 7.2

Therefore, the mean number of correct answers that the student can expect to guess correctly is 9, and the variance of the number of correct answers is 7.2.

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Answer:

the answer is d

Step-by-step explanation:

Can i have brainliest?

Answer:

it is a whole number, 30. please give me more details if you want it as a mixed number.

Step-by-step explanation:

31+-1 (31-1)= 30

Answer:

68.67

Step-by-step explanation:

Estimate 63% of 109

Change 63% to a decimal by locating the decimal which is after the 3 in 63 and move the two places to the left.  So 63% as a decimal is .63

Now multiply      .63 × 109

                       =   68.67

By the factor theorem P(10) = 0

A polynomial is a mathematical expression in which the power of the variable is greater than or equal to two.

Now, suppose (x - 10) divides evenly into some polynomial P(x). To detremine what is P(10), we notice that (x - 10) divides evenly into P(x). This means that (x - 10) is a factor of P(x).

Now, by the factor theorem, if (x - a) is  a factor of P(x), then P(a) = 0

So, now (x - 10) is a factor of P(x). So, it implies that by the factor theorem, P(10) = 0.

So, P(10) = 0

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The master cylinder vent port is an essential component of the braking system in a vehicle. It serves the purpose of equalizing the pressure inside the master cylinder with the atmospheric pressure outside. The vent port is typically located on the top of the master cylinder and is covered by a rubber or plastic cap.

When the brake pedal is pressed, it pushes a piston inside the master cylinder, which in turn pressurizes the brake fluid. This pressurized brake fluid then travels through the brake lines to the calipers or wheel cylinders, which apply pressure to the brake pads or shoes, causing them to clamp down on the rotors or drums and slow down or stop the vehicle.

Without a vent port, pressure would build up inside the master cylinder as the brake fluid is pressurized. This could cause damage to the seals and other components inside the master cylinder, leading to leaks and potential brake failure. The vent port allows air to enter and exit the master cylinder as needed, ensuring that pressure remains equalized and preventing damage to the braking system.

In summary, the purpose of the master cylinder vent port is to equalize pressure inside and outside of the master cylinder, preventing damage to the braking system.

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The final result for c will be -90 degrees.

Since triangle ABC is a right triangle (with angles A and E equal to 90 degrees), we know that the sum of its interior angles must equal 180 degrees. Therefore, we can set up the following equation to solve for c:

c + 90 + 60 + 30 = 180

Simplifying and solving for c:

c = 180 - 90 - 60 - 30

c = 0 - 60 - 30

c = -90

So c = -90 degrees.

The problem we face is a problem in geometry, specifically concerning the calculation of the measurement of angles in a triangle. It involves using the properties of triangles and the fact that the sum of the interior angles of a triangle is equal to 180 degrees.

I determined that this is a problem in geometry based on the given information about the triangle and the calculation of its interior angles. The use of the sum of the interior angles being equal to 180 degrees, as well as the given values of angles G, A and E, and F, are common in geometry problems, indicating that this is likely a geometry problem.

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Answer:

13:8

is the answer because if you take the games won and lost this is what you get

Step-by-step explanation:

Answer:

b

Step-by-step explanation: it the only one make scence

Answer:

Abiotic would be the correct answer!

Hope this helps!

(a) The signal x[n] = e^(2πn/5) is periodic with a period of 5.

(b) The signal x[n] = sin(19πn) is periodic with a period of 2.

Signal (x[n]) is periodic if there exists a positive integer N such that x[n + N] = x[n] for all n.

In other words, if the signal repeats itself after a certain number of samples, it is periodic. (a) x[n] = e^(2πn/5)

To determine if this signal is periodic, we need to find a positive integer N such that x[n + N] = x[n] for all n.

Let's substitute n + N into the equation: x[n + N] = e^(2π(n + N)/5) To check if this is equal to x[n], we need to simplify it using properties of exponential functions: e^(2π(n + N)/5) = e^(2πn/5) * e^(2πN/5)

Therefore, the period of signal (b) is 2, because x[n] = x[n + 2] for all n.

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Answer:

your answer is point D represent

A 95% confidence interval for the mean bounce height of the golf ball is between  78.4 cm and 84.4 cm.

To find the 95% confidence interval for the mean bounce height of the golf ball, we can use the t-distribution since the sample size is small (n=10) and the population standard deviation is unknown. The formula for the confidence interval is:

x ± t*(s/√n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, and t is the t-value with (n-1) degrees of freedom and a 95% confidence level.

First, we need to calculate the sample mean and sample standard deviation:

x = (75.5 + 79.4 + 82.4 + 79.2 + 85.3 + 82.7 + 80.9 + 83.1 + 80.8 + 84.5) / 10 = 81.4 cm

s = sqrt([(75.5-81.4)^2 + (79.4-81.4)^2 + ... + (84.5-81.4)^2] / 9) = 2.68 cm

Next, we need to find the t-value with (n-1) degrees of freedom and a 95% confidence level. Since n=10, we have (n-1)=9 degrees of freedom. Using a t-distribution table or a calculator, we find that the t-value is 2.306.

Finally, we can calculate the confidence interval:

81.4 ± 2.306*(2.68/√10) = (78.4, 84.4)

Therefore, we can be 95% confident that the true mean bounce height of the golf ball is between 78.4 cm and 84.4 cm.

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Answer:

Step-by-step explanation:

its either

10081/9

1201/1000

1201201/10000000

i hope its one of these

Answer:

The Rule for 2 : Any whole number that ends in 0, 2, 4, 6, or 8 will be divisible by 2. This is the number four hundred fifty-six thousand, seven hundred ninety-one, eight hundred twenty-four. We can tell if 2 divides into this number without a remainder by just looking at the last digit.

Step-by-step explanation:

Answer:

SQ/VT = QR/TU = SR/VU

hope it helps

Step-by-step explanation:

20% of 48=9.6

48-9.6=38.4

Ans:38.4

Answer: 38.4 square feet remains uncovered

Step-by-step explanation: 9.6 is 20% of 48

Solution: What is 20% of 48?

Y is 20% of 48

Equation: Y = P% * X

Solving our equation for Y:

Y = P% * X

Y = 20% * 48

Converting percent to decimal:

p = 20%/100 = 0.2

Y = 0.2 * 48

Y = 9.6

Answer: 41.86 miles/hour

Step-by-step explanation:

Use Distance = Speed*Time to find the two missing values with the data that is provided for those two cases [in brackets].

MPH MILES     HOURS

 50            20      [0.4]

 [40]    70      1.75

Totals   90 miles   2.15 hours

Average = 90 miles/2.15 hours

     41.86 mph

The number of possible seating arrangements depends on the conditions specified in the problem is 435,456,000

Permutation is the arrangement of objects in a specific order.

a. The mathematics majors occupy the first 6 seats:

The number of permutations of the mathematics majors is simply 6! (6 factorial), since they all have to sit together in a block. After the mathematics majors are seated, we have 12 chairs left for the chemistry and physics majors, who can be arranged in (5 + 7)! / (5! x 7!) ways.

Finally, the total number of permutations for the mathematics majors to occupy the first 6 seats is

=>  6! x (5 + 7)! / (5! x 7!).

=> 570240

b. The mathematics majors cannot occupy the first 6 seats:

In this case, the number of permutations of the mathematics majors is (18 - 6)! / (6! x (12 - 6)!). This is because they cannot occupy the first 6 seats and have to be arranged in the remaining 12 chairs.

Next, the number of permutations for the chemistry majors is (12 - 6)! / (5! x (12 - 6 - 5)!).

Finally, the number of permutations for the physics majors is (12 - 6 - 5)! / 7!.

The total number of permutations for this scenario is

=> (18 - 6)! / (6! x (12 - 6)!) x (12 - 6)! / (5! x (12 - 6 - 5)!) x (12 - 6 - 5)! / 7!.

=> 668250

c. Students with the same major sit in a block:

In this case, the number of permutations of the chemistry majors is simply 5! since they have to sit together in a block.

Similarly, the number of permutations of the mathematics majors is 6! and the number of permutations of the physics majors is 7!.

Finally, the total number of permutations for students with the same major to sit in a block is

=> 5! x 6! x 7!.

=> 435456000

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Heather and her family purchased a home for 450,000, which is right in the middle of the range of homes in the area, which have a mean price of 450,000 and a standard deviation of 50,000.

The mean price of the homes in the area is the average price of all homes in the area and can be calculated by adding up all of the prices of the homes and then dividing by the total number of homes. In this example, the mean price is 450,000. The standard deviation is a measure of how much variation there is in a set of data. It is calculated by taking the square root of the sum of the squared differences of each data point from the mean, divided by the total number of data points. In this example, the standard deviation is 50,000. So, the mean price of the homes in the area is 450,000, plus or minus 50,000. This means that the majority of homes in the area cost between 400,000 and 500,000. Heather and her family purchased a home that cost 450,000, which is right in the middle of the range.

Heather and her family purchased a home for 450,000, which is right in the middle of the range of homes in the area, which have a mean price of 450,000 and a standard deviation of 50,000.

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Answer:

pi= 3.14159

r= half of diameter , it is 4

h= 20

v= pi (4) ^2 (20)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

This is a 90 45 45 triangle so the legs will be the hypotenuse without the square root so your answer is 7 for each variable

Answer:

y=-2x+4

Step-by-step explanation:

You want to get y by itself, so you would subtract 2x from both sides giving you, \(y=-2x+4\). -2x is the slope (m), and 4 is the y-intercept (b).

Answer:

Step-by-step explanation:

A formula is a method that has been proven to work when solving specific types of problems.

Let’s explore some of those familiar formulas by looking at rectangles, squares, area and perimeter.

The perimeter of a figure is the distance around the figure. Perimeter is the sum of all of the sides in a square or rectangle. Since a rectangle has two sets of parallel sides, the formula for determining perimeter  of a rectangle is:

and

Let’s look at an example.

[Figure 2]

The rectangle above shows its dimensions. Find the perimeter.

First, substitute the values for the width  and the length  into the perimeter formula.

Next, complete the multiplication and addition to find the perimeter.

The answer is 42.

The perimeter of the rectangle is 42 inches.

Area is the amount of square units inside the figure. Area is found by multiplying the . The formula for finding the area of a rectangle is:

You can use the dimensions from the rectangle above to find the area of this rectangle.

First, fill the values for  and  into the formula for area.

Next, solve for the area by multiplying.

The answer is 108.

The area of the rectangle is .

Notice that the unit of measurement for area is squared. That is because you multiplied a unit measure times itself: . Area is always written in square units.

You can also find the perimeter and area of a square. Remember that a square has four equal sides given the symbol . You can use the following formula for finding the perimeter of a square:

Let’s look at an example.

A rectangle has a length of 12 feet and a perimeter of 72 feet. Write and solve an equation to determine the width of the rectangle.

First, substitute the values for the perimeter  and the length  into the perimeter formula.

Next, complete the multiplication.

Then, subtract 24 from both sides to get your variable alone on the right side.

Then, multiply both sides by the reciprocal of 2 to isolate your variable.

The answer is 24.

The width of the rectangle is 24 feet.

Examples

Example 1

Earlier, you were given a problem about Raj and his garden fence.

He knows that the area of the land is 240 square feet, the length of one side is 15 feet, and needs to know the width of the land.

First, substitute the values for the area and the side length into the area formula.

Next, multiply both sides by the reciprocal of 15 in order to isolate the variable .

The answer is 16.

The width of Raj’s garden is 16 ft. Therefore the dimensions of the garden are 16 ft by 15 ft.

Example 2

A square has a perimeter of 196 inches. Determine the length of one side of the square.

First, substitute the value for the perimeter  into the perimeter formula.

Next, multiply both sides by the reciprocal of 4 to isolate your variable.

The answer is 49.

Example 3

Find the perimeter of the following square if the side length is 4.5 inches.

First, substitute the value for the side length into the perimeter formula.

Next, multiply by 4 to solve for the perimeter.

The answer is 18.

Example 4

Can you find the area of the square in Example 1?

First, substitute the value for the side length into the area formula.

Next, multiply to solve for the area.

The answer is 20.25.

The area of the square is .

Example 5

A square has an area of 144 sq. meters. What is the side length?

First, substitute the value for the area into the area formula.

Next, take the square root of the area to isolate . Remember that the opposite of square is square root.

The answer is 12.

The value of dz is approximately -0.039, and ∂x/∂x at point A (0, 2) is equal to 1.

To find the value of dz, we differentiate the given equation with respect to z: ∂z/∂z + (∂z/∂x)(∂x/∂z) + (∂z/∂y)(∂y/∂z) = 0

Since ∂z/∂z = 1 and ∂x/∂z = 0 (as x does not depend on z), we have:

1 + (∂z/∂x)(∂x/∂z) + (∂z/∂y)(∂y/∂z) = 0

The partial derivatives ∂x/∂x and ∂y/∂y are both equal to 1. At point A (0, 2), we substitute the values: 1 + (∂z/∂x)(0) + (∂z/∂y)(0) = 0

1 = 0

This equation is not satisfied, which means there might be an error or inconsistency in the given equation. Therefore, it's not possible to determine the value of dz accurately.

However, we can determine that ∂x/∂x is equal to 1, as the derivative of x with respect to itself is always 1.

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There are 24 permutations of the letters in the word 'PODS' if all the letters are used without repetition.

To find the number of permutations of the letters in the word 'PODS' without repetition, we need to find the number of ways we can arrange the four letters.

We can use the formula for permutations of n objects taken r at a time, which is nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects we are taking.

In this case, n = 4 (since there are four letters in the word 'PODS') and r = 4 (since we are using all four letters). Substituting these values into the formula gives:

4P4 = 4! / (4-4)! = 4! / 0! = 24 / 1 = 24

Therefore, there are 24 permutations of the letters in the word.

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Answer:

x+13 or x<13

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

.553 has the most number of significant digits

Answer:

Read below for full answer :)

Step-by-step explanation:

We can conclude that the total cost of all meals was $205.

There were a total of 8 kids meals and 5 adult meals.

You'd have to divide 205 by 8, and you'd get 25.625.

Then, divide 205 by 5, and you'd get 41.

For example, we could say that each childrens meal was $15 ($120 total in kid's meals), and each adult was $17 ($85 total in adult meals).

When you total $85 and $120, it then given you a sum of $205.

There are many ways to complete this equation, but i feel that this is the easiest way.

Hope this helps! :)

Answer:

20!

Step-by-step explanation:

when you add how far kyle's already traveled you get sixty, the rest of the tt lecture explains the rest, leaving you with 20 seconds