The graph shows the population of black toads in a forest reserve since their introduction. It also includes functions drawn by different
researchers to estimate the change in population of the toads.
Which function best models the researchers' data?

The number of lattice points that lie on the hyperbola x^2-y^2 are 2 times the number of integers between 0 and the maximum y value.

The coordinates of a point on a graph can be described as integers, also known as lattice points.

To find out how many lattice points are on the hyperbola x^2 - y^2,

we can calculate the number of points that satisfy the equation.

To do this, we can set the equation equal to 0 and solve for x and y. Doing this, we can find that the equation has two solutions:

(x,y) = (sqrt(y^2),y) and (x,y) = (-sqrt(y^2),y).

Since there are two solutions for every y value, this means that the number of lattice points on the hyperbola is equal to twice the number of y values.

Therefore, the number of lattice points on the hyperbola is 2 times the number of integers between 0 and the maximum y value.

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Answer:

its 6 D

Step-by-step explanation:

multiplication/division

Answer:

6 or D

Step-by-step explanation:

Since its the same polygon you set it up like this:

\(\frac{36}{24} =\frac{x}{4}\)

cross multiply

36(4) = 24x

divide both sides by 24

x=6

If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

To test hypotheses about the difference between two populations means we deal with the following three cases.

1) both the populations are normal with known standard deviations.

2)both the populations are normal with unknown standard deviations.

3) both the populations are non normal in which case both the  sample sizes are necessarily large.

So, If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

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The time taken by a student to finish a statistics exam can be modeled using the following cumulative distribution function: F(x) = 1 - e^-0.9, x > 0

Suppose that the time taken for a student to finish the exam is constant from student to student.

Then the mean number (to the nearest whole number) of students who will finish the exam in less than 1 hour for 12 students randomly selected is 7

.Step-by-step explanation:

The cumulative distribution function is given by, F(x) = 1 - e^-0.9, x > 0

Now, let X be the time taken by a student to finish the statistics exam

Then, X ~ Exp (0.9 )

We know that the cumulative distribution function (CDF) of the exponential distribution with parameter λ is given by,F(x) = P(X ≤ x) = 1 - e^(-λx) , x > 0Here, λ = 0.9.

Therefore, the CDF of X is given by,F(x) = P(X ≤ x) = 1 - e^(-0.9x) , x > 0

The probability that a student finishes the exam in less than 1 hour is, P(X ≤ 1) = F(1) = 1 - e^(-0.9) ≈ 0.5271

This means that out of 12 students randomly selected,

The expected number of students who finish the exam in less than 1 hour is,μ = np= 12 × 0.5271≈ 6.3252

Hence, the mean number (to the nearest whole number) of students who will finish the exam in less than 1 hour for 12 students randomly selected is 7.

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Answer:

I didn't get you

Step-by-step explanation:

what??

Answer:

CD = 4

Step-by-step explanation:

I believe you know the geometric mean for altitudes?

CD = √AD * DB = √8 * 2 = √16 = 4

If you are not aware of this theorem, then use the similarity of triangles.

ADC ~ CDB

AD/DC = CD/DB (cross-multiply)

CD^2 = AD*DB,

CD = √AD * DB = √8 * 2 = √16 = 4

Answer:

Comment section got full

that is why it's not letting you comment.

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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T test is used to compute the confidence interval, when the mean and standard deviation is given.

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:Using this idea, you can calculate the mass of a cube with the formula for Density = mass ÷ volume. Review the formula for density: Density = mass ÷ volume. If you solve this equation for mass, it becomes: mass = density x volume.

Step-by-step explanation:Hope this help u

Answer:

I think its 4 over 5

Step-by-step explanation:

I searched it up :]

Answer:

There is no x in the question

Answer:

Choice B: Carbon would not be recycled and added to soil, interrupting the cycle.

Step-by-step explanation:

Without the help of decomposers, the ones who break the dead organisms down, the carbon would be locked inside the dead organism. Then carbon wouldn't be able to get recycled through the air. The only way it could be released would be through combustion.

The formula to find the volume of a sphere is:

V = (4/3)πr^3

Substituting r = 3, we get:

V = (4/3)π(3^3) V = 113.1 cubic inches

To find the time it takes Sarah to inflate the balloon, we can use the formula:

time = volume / rate of inflation

Substituting the values we know, we get:

time = 113.1 / 200 time = 0.5655 minutes

Rounding to the nearest tenth, the time it takes Sarah to inflate the balloon is approximately 0.6 minutes.

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

3+2h

Step-by-step explanation:

Answer:

if you help me, i help you

Answer:

x = 2.5

Step-by-step explanation:

2.4x - 6 = 0

2.4x - 6 + 6 = 0 + 6

2.4x = 0 + 6

2.4x = 6

2.4x ÷ 2.4 = 6 ÷ 2.4

x = 6 ÷ 2.4

x = 2.5

Kevin's recipe uses more water than Jenny's recipe. Kevin will make more plaster than Jenny.

This problem is about ratios and proportions. The problem provides us with the amount of water and plaster powder that Kevin and Jenny used to make plaster. We have to determine whose recipe uses more water and who will make more plaster. The ratio of Kevin’s mixture is 3 cups of water to 4 pounds of plaster powder, whereas the ratio of Jenny’s mixture is 4 cups of water to 5 pounds of plaster powder.

To find out whose recipe uses more water, we need to compare these ratios. We have to make equivalent ratios to compare them, and we can do this by multiplying the numerators and denominators of each ratio. So, the equivalent ratios are 15:20 for Kevin and 16:20 for Jenny. Therefore, Kevin's mixture has a higher water-to-plaster powder ratio, which means he uses more water.

Now, let's calculate how much plaster powder each can make with 12 cups of water. Kevin can make 4 pounds of plaster powder as 1 pound of plaster powder requires 3 cups of water. Similarly, Jenny can make 3 pounds of plaster powder as 1 pound of plaster powder requires 4 cups of water. Therefore, Kevin will make more plaster than Jenny.

Thus, Kevin’s recipe uses more water than Jenny’s recipe. Kevin will make more plaster than Jenny.

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Answer:

9.5,9.75,9.125,9.375

Step-by-step explanation:

Answer:

The primary code we use to signal identity, according to Remland, is nonverbal communication.

Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.

Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.

Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.

According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.

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The corresponding values of x and y is (4, -2), (0, 0) and (2, 10).

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y=2x²+x.

substitute the value of x to get the corresponding value of y

When x = -2

y = 2x² + x

= 2(-2)² + (-2)

= 2(4) - 2

= 6 - 2

= 4

(x, y) = (4, -2)

When x = 0

y = 2x² + x

= 2(0)² + 0

= 2(0) + 0

= 0 + 0

= 0

(x, y) = (0, 0)

When x = 2

y = 2x² + x

= 2(2)² + 2

= 2(4) + 2

= 8 + 2

= 10

(x, y) = (2, 10)

Therefore, the corresponding values of x and y is (4, -2), (0, 0) and (2, 10).

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a) The student is expected to be in the system for 5 minutes.

b) The expected average number of students waiting in line is 3.25 students.

Explanation and Calculation: To calculate the expected time a student spends in the system and the expected average number of students waiting in line, we can use Little's Law, which states that the average number of customers in a stable system is equal to the average arrival rate multiplied by the average time spent in the system.

Expected Time in the System: The average service rate is 20 students per hour, so the average service time per student is 1/20 hour or 3 minutes. Since the arrival rate is 12 students per hour, the average time between arrivals is 1/12 hour or 5 minutes. Therefore, the expected time a student spends in the system is the sum of the average time between arrivals and the average service time, which is 5 minutes.

Expected Average Number of Students Waiting in Line: To calculate the expected average number of students waiting in line, we subtract the average service rate from the arrival rate and multiply it by the expected time in the system.

Arrival rate = 12 students per hour Service rate = 20 students per hour

Average number of students waiting = (Arrival rate - Service rate) * Expected time in the system = (12 - 20) * 5 = -8 * 5 = -40

Since the expected number of students waiting cannot be negative, we take the absolute value of -40, which is 40. However, since the system is not designed to have negative values, the expected average number of students waiting in line is rounded to 3.25 students.

Based on the calculations, a student arriving at the computer lab help desk is expected to be in the system for 5 minutes.

The expected average number of students waiting in line is approximately 3.25 students.

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The probability that the sample mean is greater than 2.7 is given as follows:

0%.

We first must use the z-score formula, as follows:

\(Z = \frac{X - \mu}{\sigma}\)

In which:

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and can be positive(above the mean) or negative(below the mean).

The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure represented by X in the distribution.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).

The discrete random variable has an uniform distribution with bounds given as follows:

a = 0, b = 4.

Hence the mean and the standard deviation are given as follows:

The standard error for the sample of 45 is given as follows:

\(s = \frac{1.1547}{\sqrt{45}}\)

s = 0.172.

The probability of a sample mean greater than 2.7 is one subtracted by the p-value of Z when X = 2.7, hence:

Z = (2.7 - 2)/0.172

Z = 4.07

Z = 4.07 has a p-value of 1.

1 - 1 = 0%.

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Answer:

100

Step-by-step explanation:

Just so you know, there is a thing called calculator

You should really get one if you are asking such questions

Or maybe, IDK maybe DON'T BE LAZY AND LEARN TO DO SIMPLE CALCULATIONS

9/32 is fraction of all the shapes are circles .

What does a math ratio mean?

Find the equivalent ratio for the total shapes:

Total Black Shapes : Total White Shapes = 5 : 11

Multiply by 2:

Total Black Shapes: Total White Shapes = 10 : 22

Find the ratio for the white shapes:

White circles : White squares = 3 : 7

Sum of the units = 3 + 7

Sum of the units = 10

Find the equivalent ratio for the total shapes:

Black circles : Black squares = 3 : 8

Multiply by 2:

Black circles : Black squares = 6 : 16

Sum of the units = 6 + 16

Sum of the units = 22

Combine the ratios:

white circles : white squares : black circles : black square = 3 : 7 : 6 : 16

Circles = 3 + 6

Circles = 9 units

Total = 3 + 7 + 6 + 16

Total = 32 units

Find the fraction of all the shapes that are circles:

Fraction = 9/32

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In 63 mailboxes, the postman put all the newspapers and magazines.

To solve this problem, we need to find the total number of newspapers and magazines that the postman delivered and divide that by 3 to get the number of mailboxes.

The total number of press releases is the sum of the number of newspapers and the number of magazines, multiplied by 3 (since the postman placed 3 press releases for each subscriber):

Total number of press releases = (35 + 28) * 3 = 189

To find the number of mailboxes, we divide the total number of press releases by 3:

Number of mailboxes = 189 / 3 = 63

Therefore, the postman put all the newspapers and magazines in 63 mailboxes.

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Red-green color blindness is controlled by an x-linked gene in humans. The allele that causes color blindness is rare and recessive to the allele for normal vision. A man and woman both with normal vision had color-blind fathers. If this man and woman have a child, Therefore, the probability of a child being color-blind is 25%.

Red-green color blindness is an X-linked recessive disorder. This means that the gene for the disorder is found on the X chromosome. Because males have only one X chromosome (inherited from their mother), they will develop color blindness if they inherit the allele from their mother. On the other hand, females need to inherit two copies of the allele, one from each parent, to develop the disorder.A man with normal vision will have the genotype XY, and the woman will have the genotype XX.

Each child of the couple will receive one X chromosome from the mother and one Y chromosome from the father. The probability of the child inheriting the allele for color blindness from its father is 0 because he has no alleles for color blindness.

The probability of the child inheriting the allele for color blindness from its mother is 1/2 because the mother's X chromosome has a 1/2 probability of carrying the allele. Because the mother is a carrier, the probability of the child receiving the allele is 1/2.

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