susan monitors the number of strep infections reported in a certain neighborhood in a given week. the recent numbers are shown in this table: week number of people 0 20 1 26 2 34 3 44 according to her reports, the reported infections are growing at a rate of 30%. if the number of infections continues to grow exponentially, what will the number of infections be in week 10?

answer:

It Is ፡ 2.5

Step-by-step explanation:

when u Ask a quastion related to distance u always used absolute value then the difference will be the distance between it

/-14-(-16.5)/ or /-16.5-(-14)/

/-14+16.5/ or /-16•5+14/

= /2.5/ or /-2.5/ when both of the num. are out they will be 2.5

Rounded to two decimal places, the margin of error is 4.12 points. To find the margin of error for a 98% confidence interval, we'll use the formula:

Margin of Error = z-score * (population standard deviation / sqrt(sample size))

First, we need to find the z-score for a 98% confidence interval. Since the table provided shows two-tailed z-scores, we will look at the z0.01 column (1 - 0.98 = 0.02, and 0.02 / 2 = 0.01), which gives us a z-score of 2.576.

Next, we have the population standard deviation (8 points) and the sample size (25).

Now we can calculate the margin of error:

Margin of Error = 2.576 * (8 / sqrt(25))
Margin of Error = 2.576 * (8 / 5)
Margin of Error = 2.576 * 1.6

Margin of Error = 4.1216

Rounded to two decimal places, the margin of error is 4.12 points.

Your answer: 4.12

Learn more about interval here:

brainly.com/question/3050302

#SPJ11

John earned $400 interest at a rate of 6% for 3 years. Therefore, the amount of money John originally invested was $2,222.22.

We are able to use the Simple interest formula to resolve this problem:

Simple interest is a simple concept in finance that is used to calculate the interest earned or paid on a essential amount over a positive time period.

Simple interest = (principal x charge x time)

Given that John earned $400 in interest at a price of 6% for three years, we are able to set up the equation as:

400 = (P x 0.06 x 3)

In which P is the principal (the original amount invested).

Simplifying this equation, we get:

400 = 0.18P

Dividing both facets through 0.18, we get:

P = $2,222.22

Thus, John originally invested $2,222.22.

learn more about Simple interest formula:-

https://brainly.com/question/25845758

#SPJ4

The requried, positive angle less than 360 that is Coterminal with 695 is 335 degrees.

To find an angle that is coterminal with 695 and less than 360 degrees, we can subtract 360 degrees from 695 until we get an angle that is less than 360 degrees.

695 - 360 = 335

335 is an angle that is coterminal with 695 and less than 360 degrees.

Thus, a positive angle less than 360 that is Coterminal with 695 is 335 degrees.

Learn more about angles here:

https://brainly.com/question/28451077

#SPJ1

In other words, based on the given sample, we can say with 90% confidence that between 13.5% and 16.5% of adult Americans have used their smartphone to make a purchase.

To find the 90% confidence interval for the population proportion of adult Americans who have used their smartphone to make a purchase, we can use the following formula:

CI = p ± z*√((p(1-p))/n)

where:

p = sample proportion

= 542/3611

= 0.15 (rounded to two decimal places)

n = sample size

= 3611

z = z-score for 90% confidence level

= 1.645 (from standard normal distribution table)

Plugging in the values, we get:

CI = 0.15 ± 1.645*√((0.15(1-0.15))/3611)

= 0.15 ± 0.015

This means that we are 90% confident that the true proportion of adult Americans who have used their smartphone to make a purchase is somewhere between 0.135 and 0.165.

To know more about confidence interval,

https://brainly.com/question/27375978

#SPJ11

The change in Emile's height is [tex]0 \frac{9}{10} [/tex] cm in mixed number and 0.9 cm in simplified form.

Firstly finding the fractional form of old and new height.

Old height = [tex]3 \frac{7}{10} [/tex]

Old height = ((3×10)+7/10

Old height = 37/10 cm

New height = [tex]4 \frac{3}{5} [/tex]

New height = ((4×5)+3)/5

New height = 23/5

New height = 23/5 cm

Change in Emile's height = 23/5 - 37/10

Change in height = (23×2)-37/10

Change in height = 46 - 37/10

Change = 9/10

Representing the height in mixed number, [tex]0 \frac{9}{10} [/tex] and simplified form as 0.9 cm.

Learn more about mixed number -

https://brainly.com/question/414559

#SPJ4

During these two years, Emile's height increased by 0.9 cm or 9/10 cm.

We will calculate the change in Emile's height using Subtraction. The formula that we will use is:

Change in height = Eighth-grade height - Seventh-grade height

Firstly, we will convert the height to a fraction.

Seventh-grade height = ((10×3)+7)/10

Seventh-grade height = 37/10 cm

Now,

Eighth-grade height = ((5×4)+3)/5

Eighth-grade height = 23/5 cm

Now, find the change in height by substituting the values in the formula.

Change in height = Eighth-grade height - seventh-grade height

                             =   23/5 - 37/10

Change in height = 23×2 - 37/10

Change = 46 - 37/10

Change = 0.9 cm

Therefore, the increase in height during these two years is 0.9 cm or 9/10 cm.

To learn more about fractions -

brainly.com/question/78672

#SPJ4

The required average rate of change of g(x) over the interval [-9, -1] is 1.

To determine the average rate of change of the function g(x) = -x^2-9x+27 over the interval [-9, -1], we need to calculate the difference between the function values at the endpoints of the interval and divide by the length of the interval.

So, we have:

= g(-1) - g(-9) / (-1 - (-9))

= [-(-1)² - 9(-1) + 27] - [-(-9)² - 9(-9) + 27] / (-1 + 9)

= [-1 + 9 + 27] - [-81 - 81 + 27] / 8

= 1

Therefore, the average rate of change of g(x) over the interval [-9, -1] is 1.

Learn more about the rate of change of function here:

https://brainly.com/question/29518179

#SPJ1

The total area of the sum of area of rhombus,  area of parallelogram and  area of trapezoid.

Composite geometric figures are made from two or more geometric figures.

The composite figure is divided into rhombus, parallelogram, and trapezoid.

To find the total area of the composite figure we have to add the areas of rhombus, parallelogram and trapezoid.

Area = Area of rhombus + Area of parallelogram + Area of trapezoid

=bh + bh + 1/2(b₁+b₂)h

=h(2b +(b₁+b₂)/2)

Hence, the total area of the sum of area of rhombus,  area of parallelogram and  area of trapezoid.

To learn more on Quadrilaterals click:

https://brainly.com/question/29934440

#SPJ1

Answer:

41.9%

Step-by-step explanation:

percent change = (new number - old number)/(old number) × 100%

new number = 44

old number = 31

percent change = (44 - 31)/31 × 100%

percent change = 13/31 × 100%

percent change = 0.41935 × 100%

percent change = 41.9%

The area of the smaller sector is 76.9 degrees.

The area of the smaller sector can be found as follows:

Therefore,

area of a sector = ∅/ 360 × πr²

where

Therefore,

∅ = 77 degrees

r = 10.7 inches

area of the sector = 77 / 360 × 3.14 × 10.7²

area of the sector = 77 / 360 × 3.14 × 114.49

area of the sector = 27681.3922 / 360

area of the sector = 76.8927561111

area of the sector = 76.9 degrees

learn more on area here: https://brainly.com/question/28491250

#SPJ1

Answer:

  x < 2/3

Step-by-step explanation:

You want to solve the 2-step inequality 3x +7 < 9.

If the coefficient of the variable is positive, the two steps to solving the inequality are identical to the two steps for solving a "2-step" equation.

Isolate the variable term by subtracting the unwanted constant with it.

  3x +7 -7 < 9 -7

  3x < 2

Divide by the coefficient of the variable.

  3x/3 < 2/3

  x < 2/3 . . . . . . the solution

__

Additional comment

If the number you divide by (or multiply by) is negative, the sense of the inequality is reversed. For example, ...

  -2x < 6

  x > -3 . . . . . . divide by negative 2 and reverse the inequality symbol

This comes about because multiplying by a negative number changes the ordering.

  -2 < -1

  2 > 1

Some functions change ordering, too, so care must be taken when functions (or inverse functions) are applied to an inequality.

The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

In this question, we have been given there are 10 brown, 10 black, 10 green, and 10 gold marbles in bag.

The theoretical probability of pulling a brown marble from the bag would be,

P = 10/40

P = 0.25

P = 25%

A student pulled a marble, recorded the color, and placed the marble back in the bag.

The frequency of each color pulled during the experiment after 40 trials is:

Brown 13

Black 9

Green 7

Gold 11

So, the experimental probability of pulling a brown marble from the bag would be,

P = 13/40

P = 0.325

P = 32.5 %

Therefore, the theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

Learn more about the probability here:

brainly.com/question/3679442

#SPJ1

The answer is y = — 1 1/2x + 3 1/2

It will take approximately 7.85 hours to fill the pool.

To determine the time needed to fill the pool, first calculate the volume of the pool, then convert the volume to gallons, and finally, divide by the fill rate.

The pool is a cylinder with a radius of 10 ft and a height of 4 ft. The volume of a cylinder is given by the formula V = πr²h.

V = π(10 ft)²(4 ft) = 400π cubic feet ≈ 1256.64 cubic feet

Next, convert the volume to gallons using the given conversion factor:

1256.64 cubic feet * 7.5 gallons/cubic foot ≈ 9424.8 gallons

Now, divide the total gallons by the fill rate of 20 gallons/minute to find the time in minutes:

9424.8 gallons ÷ 20 gallons/minute ≈ 471.24 minutes

Finally, convert the time to hours:

471.24 minutes ÷ 60 minutes/hour ≈ 7.85 hours

Know more about volume of the pool here:

https://brainly.com/question/8457892

#SPJ11

The additional analysis and evidence may be needed to establish a causal relationship between variables.

The existence of an overall pattern of joint variation between variables, regardless of origin or cause.

In statistics, an association refers to the presence of a relationship or pattern of joint variation between two or more variables. This pattern can take various forms, including linear or curved, but the key characteristic is that the variables tend to vary together in some way.

However, an association alone does not necessarily imply causation. In other words, just because two variables are associated or vary together does not mean that one variable causes the other. Additional analysis and evidence may be needed to establish a causal relationship between variables.

Learn more about variables

brainly.com/question/17344045

#SPJ11

In all these cases, no interaction means that the variables act independently on the response variable Y, and their combined effects are simply additive rather than multiplicative or otherwise interdependent.

No interaction in modeling response variable Y and explanatory variables X and Z means that the effect of each explanatory variable on the response variable is independent of the other explanatory variable. This can be illustrated using graphs or tables as follows:

a. When all variables are continuous (multiple regression), no interaction means that the slope of Y on X is constant regardless of the level of Z, and the slope of Y on Z is constant regardless of the level of X. In other words, the effect of X on Y is the same for all levels of Z, and the effect of Z on Y is the same for all levels of X.

b. When Y and X are continuous, and Z is categorical (analysis of covariance), no interaction means that the mean difference in Y between each level of Z is the same for all levels of X. In other words, the effect of Z on Y is the same for all levels of X.

c. When Y is continuous, and X and Z are categorical (two-way ANOVA), no interaction means that the mean difference in Y between each combination of X and Z is the same. In other words, the effect of X on Y is the same for all levels of Z, and the effect of Z on Y is the same for all levels of X.

d. When Y is binary, and X and Z are categorical (logistic regression), no interaction means that the odds ratio of Y on X is the same for all levels of Z, and the odds ratio of Y on Z is the same for all levels of X. In other words, the effect of X on the odds of Y is the same for all levels of Z, and the effect of Z on the odds of Y is the same for all levels of X.

a. Multiple regression (All variables are continuous): No interaction means that the effect of one explanatory variable (X) on the response variable (Y) does not depend on the value of the other explanatory variable (Z). In a graph, this would be represented by parallel lines or planes when plotting Y against X for different values of Z.

b. Analysis of covariance (Y and X are continuous, Z is categorical): No interaction suggests that the relationship between Y and X is consistent across different levels of the categorical variable Z. In a graph, this would appear as parallel regression lines for each category of Z.

c. Two-way ANOVA (Y is continuous, X and Z are categorical): No interaction means that the effect of one categorical variable (X) on the response variable (Y) is not influenced by the levels of the other categorical variable (Z). In a table, this would be evident by having similar differences between cell means across all combinations of X and Z.

d. Logistic regression (Y is binary, X and Z are categorical): No interaction implies that the odds of the binary response variable (Y) occurring do not depend on the combined effect of X and Z. In a table, the odds ratios for different levels of X and Z should be consistent, indicating no interaction between the two categorical variables.

In all these cases, no interaction means that the variables act independently on the response variable Y, and their combined effects are simply additive rather than multiplicative or otherwise interdependent.

To learn more about variable, click here:

brainly.com/question/17344045

#SPJ11

These waves were most wrongfully and barbarously abrupt, reflecting the historical influence of a time when ships were powered by

Thus, option D is correct.

According to the passage, which was written by Stephen Crane, regarding the open boat. The line where it was depicted is about the wrongful and the barbarous. Wave that was present. They suggested that in earlier times or in historic times, there weren't any technologies that would help them sail, but the waves were the ones who took them from one position to another.

Therefore, option D is the correct option.

Learn more about historical, here:

https://brainly.com/question/13436538

#SPJ1

We can say that we are 95% confident that the true population mean CO2 level in all homes falls within the calculated interval.

Without the actual data, we cannot provide a specific confidence interval. However, we can provide the general formula for calculating a confidence interval for the population mean.

Assuming a normal distribution of CO2 levels in homes, a 95% confidence interval for the true population mean can be calculated using the following formula:

CI = X ± z*(σ/√n)

Where:

X is the sample mean

z is the critical value from the standard normal distribution corresponding to the desired confidence level (1.96 for 95% confidence interval)

σ is the population standard deviation (unknown, so we use the sample standard deviation as an estimate)

n is the sample size

To interpret the confidence interval, we can say that we are 95% confident that the true population mean CO2 level in all homes falls within the calculated interval.

To learn more about population mean visit:

https://brainly.com/question/30727743

#SPJ11

To get another estimate using the velocities at the end of the time periods, repeat the process from (a), but this time, use the velocity values at the end of each interval as the heights of the rectangles.

To estimate the distance traveled by the motorcycle, we can use the velocities at the beginning or end of the time intervals to calculate the area under the velocity graph using rectangles.

(a) Using the velocities at the beginning of the time intervals, we can estimate the distance by adding up the areas of the rectangles formed by the velocity and time intervals. The distance estimate is the sum of these areas, which is approximately 156 meters.

(b) Using the velocities at the end of the time intervals, we can estimate the distance by adding up the areas of the rectangles formed by the velocity and time intervals. The distance estimate is the sum of these areas, which is approximately 175 meters.

(c) Since the velocity function is increasing over time, the estimate in part (a) using the velocities at the beginning of the time intervals is a lower estimate, and the estimate in part (b) using the velocities at the end of the time intervals is an upper estimate. This is because the velocity is increasing, and the rectangles using the beginning velocities will underestimate the distance, while the rectangles using the end velocities will overestimate the distance. Therefore, we can conclude that the estimates in parts (a) and (b) are respectively lower and upper estimates of the distance traveled by the motorcycle.

(a) To estimate the distance traveled using the velocities at the beginning of the time intervals, use the velocity values as the heights of rectangles and multiply them by the interval width (12 seconds). Sum up the resulting products to get an approximate distance.

(b) To get another estimate using the velocities at the end of the time periods, repeat the process from (a), but this time, use the velocity values at the end of each interval as the heights of the rectangles.

(c) The estimates in parts (a) and (b) can be considered as upper and lower estimates if the velocity function is strictly increasing or decreasing. If the velocity function is neither increasing nor decreasing consistently, then these estimates are not strictly upper or lower estimates. To determine which is which, analyze the given data and observe the behavior of the velocity function over time.

To learn more about rectangles, click here:

brainly.com/question/29123947

#SPJ11

This count includes the empty set, so there are 256 - 1 = 255 non-empty spacy subsets of {1, 2, 3, ..., 12}. To solve this problem, we can use a combination of counting and logical reasoning.

First, let's consider the smallest possible spacy subset of {1, 2, 3, ..., 12}. It must contain one of the integers 1, 2, or 3, but not any of the others in that sequence. The same is true for the next set of three integers, 4, 5, and 6, and so on. Therefore, we can break down the problem into smaller subproblems by considering subsets that start with each of the integers 1 through 10.

For example, let's consider subsets that start with 1. If a spacy subset contains 1, it cannot contain 2 or 3. It can, however, contain any of the other integers from 4 through 12. Therefore, there are 8 possible integers that can be included in such a subset. Similarly, if a spacy subset starts with 2, it can contain any of the integers 5 through 12, giving us 8 possible integers again. If a subset starts with 3, it can contain any of the integers 6 through 12, giving us 7 possible integers.

We can continue this process for each of the possible starting integers, and count up the number of possible subsets. The total number of spacy subsets of {1, 2, 3, ..., 12} is then the sum of these subproblems.

Starting with 1: 8 possible integers
Starting with 2: 8 possible integers
Starting with 3: 7 possible integers
Starting with 4: 7 possible integers
Starting with 5: 7 possible integers
Starting with 6: 6 possible integers
Starting with 7: 6 possible integers
Starting with 8: 6 possible integers
Starting with 9: 5 possible integers
Starting with 10: 5 possible integers

Adding these up, we get a total of 63 possible spacy subsets of {1, 2, 3, ..., 12}, including the empty set.

Learn more about set here:

https://brainly.com/question/8053622

#SPJ11

Answer:

<5

Step-by-step explanation:

If two parallel lines are cut by a transversal, corresponding angles are congruent.

Angles 2 and 5 are corresponding angles, so they are congruent.

Answer: <5

Answer: 1024!

Step-by-step explanation:

The slope of the line graphed to represent the volume of water in a pool over time would be described as -6.

As the slope is negative, the line is described as decreasing.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In the context of this problem, we have that each month, the amount of water in the pool decays by 6 gal, hence the slope of the line is given as follows:

m = -6.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The matrix {bᵃ ⁻ᵇₐ} is option C. dilation and rotation.

The matrix {bᵃ ⁻ᵇₐ} can be written as:

{bᵃ -bₐ/bᵃ}

{ 0 1/bᵃ }

This matrix represents a dilation by a factor of bᵃ in the x-direction and a factor of 1/bᵃ in the y-direction, followed by a rotation of -tan⁻¹(b) radians counterclockwise.

Therefore, the correct answer is C. dilation and rotation.

learn more about matrix: https://brainly.com/question/94574

#SPJ1

The statement about the shapes is true Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2.

We have, Two octagons plotted on a coordinate plane.

So, the base length of two shapes are equal .

2 ×  AB  =  P Q  (approx)

BC=QR

2 × CD= RS (approx)

All the vertices have been translated by the same amount if translation has occurred.

Thus, Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2.

Learn more about Transformation here:

https://brainly.com/question/11217206

#SPJ1

Answer:

C

Step-by-step explanation:

the denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

2x + 6 = 0 ( subtract 6 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

Thus x = - 3 is a vertical asymptote of f(x)

The least squares line equation is: y = 0.168x + 23.039. The slope of the line to three decimal places is 0.168.

Calculated the linear regression line using the least squares method.
The data points are as follows:
x (age in months): [73, 84, 98, 112, 116, 132, 150, 160, 164, 180]
y (taps/10 sec): [35, 40, 50, 42, 46, 41, 52, 52, 51, 66]
The least squares line for this data can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept. After performing the calculation, I found:
Slope (m): 0.168
Y-intercept (b): 23.039

Learn more about linear regression here:

https://brainly.com/question/29665935

#SPJ11

The calculated measure of the angle 2 is m∠2 = -26 - 7x

From the question, we have the following parameters that can be used in our computation:

m∠1 = (2x + 109) and m∠3 = (5x+97)

Assuming the angles are angles in a triangle, then we have

m∠1 + m∠2 + m∠3 = 180

Substitute the known values in the above equation, so, we have the following representation

2x + 109 + 5x + 97 + m∠2 = 180

Evaluate

m∠2 = -26 - 7x

Hence, the measure of the angle is m∠2 = -26 - 7x

Read more about angles at

https://brainly.com/question/25716982

#SPJ1