what would go on the x axis and what would go on the y axis, I can do the graphing.​

Next year population of this city will be 237886

Let the current population of the city is X

Population in a city is the measure of the total living people in that city. Increase in population signifies the addition of living people while decrease in population signifies the subtraction of living people.

Net decrease in the population rate per year is 1.7%

According to the question, Present population of the city is 242000

Therefore, X = 242000

Now as per the question, next year population will be 1.7% less than this year population

Therefore, next year population will be

X - 1.7% of X

Here X = 242000

Therefore,

= 242000 - 1.7% of 242000

= 242000 - 0.017(242000)

= 242000 - 4114

= 237886

Decreased population is 237886

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6x² + 144x + 864 is the equation for the cube's surface area.

A cube has square sides with area  x² + 24x + 144

To find:

The term used to describe the cube's surface area.

Solution:

It is given that,

The area of each side of cube = x² + 24x + 144

Number of sides of a cube = 6

The cube's total surface area is calculated by multiplying the number of sides by the sum of their individual areas. Hence, the cube's total surface area is

\(& S A=6\left(x^2+24 x+144\right) \\\)

\(& S A=6\left(x^2\right)+6(24 x)+6(144) \\\)

SA = 6x² + 144x + 864

Hence, the equation for the cube's surface area is 6x² + 144x + 864.

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Answer:

23/12

Step-by-step explanation:

4x - 2/3 = 7

4x - 2/3 + 2/3 = 7 + 2/3

4x = 23/3

x = 23/12

Answer:

1. -5

2. -6

3. -10

Step-by-step explanation:

There are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been given that the inequality is below as

⇒ 5x < -20   ...(i)

⇒ 5x / 5 < -20 / 5

⇒ x < - 4

Thus, all the negative values which are less than -4 for x would make it true.

For example, we take x = -8

Substitute the value of x = -8 in the inequality (i),

⇒ 5(-8) < -20

⇒ - 40 < -20

This is true.

Similarly x = - 6, and - 7 also for x would make it true.

Hence, there are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

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In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: True. The within-treatments variance in an ANOVA provides a measure of the variability inside each treatment condition.

In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: the between-treatments variability and the within-treatments variability. The between-treatments variability represents the differences among the treatment conditions, while the within-treatments variability measures the variability within each treatment condition.

The within-treatments variance, also known as the error variance or residual variance, quantifies the variation that cannot be attributed to the differences among treatment conditions. It captures the random variability within each treatment group, accounting for the individual differences and random errors present within the groups.

By analyzing the within-treatments variance, we can assess how much variation exists within each treatment condition and evaluate the consistency or homogeneity of the data within each group. It helps determine the extent to which the treatment conditions explain the observed differences and whether any remaining variation is due to random fluctuations or other factors.

Hence, the statement that the within-treatments variance provides a measure of the variability inside each treatment condition is true in the context of ANOVA.

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Answer:

Explained below.

Step-by-step explanation:

The z-test statistic is given as follows:

\(Z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\)

Here,

\(\bar X=\text{Sample Mean}\\\\\mu=\text{Population Mean}\\\\\sigma=\text{Population standard deviation}\\\\n=\text{Sample size}\)

The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

(i)

The difference between the sample mean and the original population mean are directly proportional to the z-test statistic.

So, increasing the  difference between \(\bar X\) and \(\mu\) will lead to an increase in the z-score.

And as the Z-score increases the p-value of the test decreases.

Thus, the complete statement is:

"Increasing the difference between the sample mean and the original population mean will result in an increase in the absolute value of z, and a decrease in the probability of obtaining a sample with that mean."

(ii)

The population standard deviation is inversely proportional to the z-test statistic.

So, increasing the population standard deviation will lead to a decrease in the z-score.

And as the Z-score decreases the p-value of the test increases.

Thus, the complete statement is:

"Increasing the population standard deviation will result in a decrease in the absolute value of z, and an increase in the probability of obtaining a sample with that mean"

(iii)

The number of scores in the sample is directly proportional to the z-test statistic.

So, increasing the number of scores in the sample will lead to an increase in the z-score.

And as the Z-score increases the p-value of the test decreases.

Thus, the complete statement is:

"Increasing the number of scores in the sample will result in an increase in the absolute value of z, and an decrease in the probability of obtaining a sample with that mean."

Answer:

k= –1, 1 & 2

Step-by-step explanation:

use the factor and remainder theorem

rational root theorem

synthetic division

and factorisation method.

Answer:

K= -1 , 1 , 2

:)

Done this problem before

Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:

m= (12 -4)÷ (9 -2)

Solving:

m= 8÷ 7= 8/7

Finally, the slope of the line is 8/7.

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Answer:

8.8

Step-by-step explanation:

Answer:1,332

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

62/2=31

93/2=46.5

62%+31%=93%

93+46.5= 139.5

7-3=4

4% of 93= 3.72

139.5+3.72= 143.22

theres no such thing as 0.22 of a person so its 143

There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.

The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.

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The factorized form of each expression is given below:

a. (x - 5)(x + 5)

b. (y - 6)(y + 6)

c. (x - 1)(x - 13)

d. (s + 2)(s + 5)

e. (q - 4)(q - 3)

f. (r + 1)(r + 12)

g. (x - 5)(x + 4)

h. (y + 2)(y + 3)

i. (b - 3)(b + 4)

j. (k - 2)(k - 3)

a. x² - 25:

The difference of squares formula is a² - b² = (a - b)(a + b).

Here, a = x, b = 5. So, x² - 25 = (x - 5)(x + 5).

b. y² - 36:

Again, using the difference of squares formula, a = y, b = 6. So, y² - 36 = (y - 6)(y + 6).

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(a) The values of x that satisfy y = -√2/2 in the interval [0, 4π] are: x = π/4, 3π/4, 5π/4, 7π/4, 9π/4, 11π/4, 13π/4, 15π/4.

(b) All x-values except those listed in part (a) satisfy y > -√2/2 in the interval [0, 4π].

(c) All x-values except those listed in part (a) satisfy y < -√2/2 in the interval [0, 4π].

To find the values of x that satisfy the given conditions, we need to examine the graph of the equation y = sin(x) on the interval [0, 4π].

(a) For y = -√2/2:

Looking at the unit circle or the graph of the sine function, we can see that y = -√2/2 corresponds to two points in each period: -π/4 and -3π/4.

In the interval [0, 4π], we have four periods of the sine function, so we need to consider the following values of x:

x₁ = π/4, x₂ = 3π/4, x₃ = 5π/4, x₄ = 7π/4, x₅ = 9π/4, x₆ = 11π/4, x₇ = 13π/4, x₈ = 15π/4.

Therefore, the values of x that satisfy y = -√2/2 in the interval [0, 4π] are:

x = π/4, 3π/4, 5π/4, 7π/4, 9π/4, 11π/4, 13π/4, 15π/4.

(b) For y > -√2/2:

Since -√2/2 is the minimum value of the sine function, any value of x that produces a y-value greater than -√2/2 will satisfy the condition.

In the interval [0, 4π], all x-values except those listed in part (a) will satisfy y > -√2/2.

(c) For y < -√2:

Again, since -√2/2 is the minimum value of the sine function, any value of x that produces a y-value less than -√2/2 will satisfy the condition.

In the interval [0, 4π], all x-values except those listed in part (a) will satisfy y < -√2/2.

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To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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Step-by-step explanation:

I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book

Or

Fareeda can simply check if the second library has a distant library services so that the book can be either

1. Sent to her home or placement address, or

2.Scans of book chapters and articles be emailed to her.

a. The interval from 6 to 10 can be expressed as [a, b].

Therefore, a = 6 and b = 10.

b. The mean of a uniform distribution is given by the formula:

μ = (a + b) / 2

Substituting the values of a and b, we get:

μ = (6 + 10) / 2 = 8

Therefore, the mean of this uniform distribution is 8.

c. The standard deviation of a uniform distribution is given by the formula:

σ = (b - a) / √12

Substituting the values of a and b, we get:

σ = (10 - 6) / √12 ≈ 1.15

Therefore, the standard deviation of this uniform distribution is approximately 1.15.

d. The total area under a uniform distribution is always equal to 1.00.

e. The probability of a value more than 7 can be calculated as the area under the distribution curve to the right of 7.

Since the distribution is uniform, this area is simply the ratio of the length of the interval to the right of 7 to the length of the entire interval. Therefore:

P(X > 7) = (10 - 7) / (10 - 6) = 0.75

Rounding to two decimal places, we get P(X > 7) ≈ 0.75.

f. The probability of a value between 7 and 9 can be calculated as the area under the distribution curve between 7 and 9.

Since the distribution is uniform, this area is simply the ratio of the length of the interval between 7 and 9 to the length of the entire interval. Therefore:

P(7 < X < 9) = (9 - 7) / (10 - 6) = 0.5

Rounding to one decimal place, we get P(7 < X < 9) = 0.5.

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Answer:

The choose B. 4√3

I hope I helped you^_^

Answer:

93.32 %

Step-by-step explanation:

33.2   is    1.2   away from 32     this is  1.2 / .8 = 1.5 standard deviations ABOVE the mean     z -score = + 1.5

from z-score table this corresponds to .9332     this is  93.32 %

The probability that a randomly selected passenger car gets more than 33.2 mpg is 0.14.

The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.

Let the random variable X represent the miles-per-gallon rating of passenger cars. Compute the probability that a randomly selected passenger car gets more than 33.2 mpg as follows:

The probability will be calculated as below;-

\(P(x > 33.2) = p(\dfrac{x-\mu}{\sigma} > \dfrac{33.2 - 32}{0.8})\)

P( x > 33.2) = 1 - P ( z < 1 )

P( x > 33.2) = 1 - 0.86

P( x > 33.2) = 0.14

Thus, the probability that a randomly selected passenger car gets more than 33.2 mpg is 0.14.

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110 and 294 are the outliers because their difference in value from other data is large.

Given the sample data 110, 196, 197, 199, 205, 208, 209, 210, 210, 294, we need to get the outliers that are an observation that lies an abnormal distance.

From the data, we can see clearly that 110 and 294 are the outliers. Their difference in value from other data is large.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

slope = 2, y- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4 + 2x , that is

y = 2x - 4 ← is in slope- intercept form

with slope m = 2 and y- intercept c = - 4

Answer:

d)the observations expressed in standard units

Step-by-step explanation:

The average will change and hence, consequently, so will the deviations from the average and also the standard deviation. so, the only option left is d)

Answer:

2^5 * 3^4

a

a

a

a

a

a

a

a

a

aa

easy 2 to the power of 6 multiplied by 3 to the power of 4

Answer:62.816

Step-by-step explanation:

Answer:

Let the side of square be a cm and radius of the circle be r cm

Give, r=12 cm

Area of the square =a2cm2

   ΔABC is a right angled triangle.

Thus, by Pythagoras theorem, we have

AB2+BC2=AC2

⇒a2+a2=(2r)2

⇒2a2=4r2

⇒a2=2r2

⇒a2=2(12)2

⇒a2=2×144

          =288cm2

Step-by-step explanation:

Answer:

It would be 3/4=9/12

Step-by-step explanation:

The proportion relationship of the given ratios is 3/4= 9/12 thus option (B) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

In the fractions, 3/4

Multiply by 3 on the numerator and denominator.

3/4 x 3/3 = 9/12

3/4 x constant = 9/12

Remove constant.

3/4 ∝ 9/12

Hence "The proportion relationship of the given ratios is 3/4= 9/12".

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Answer:

B

i’m not 100 percent sure but i think it’s b