A given city is at 35°S and 200°W. How far is it from this city to A. the North Pole and B. the Equator C. the south pole
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The correct interpretation of the 95% confidence interval is that:

We are 95% sure that the true population mean widget width is between 11.5 and 27.3 units.

The x% confidence interval means that it is x% likely that the population parameter(mean/proportion/standard deviation) is between the bounds of the confidence interval, given by a and b.

The bounds of the confidence interval are given by the estimate of the population parameter plus/minus the margin of error found from the sample size/standard deviation.

In the context of this problem, the bounds of the interval are already given as follows:

11.5 < μ < 27.3

The parameter being estimated is the mean widget width, hence the interpretation is that we are are 95% sure that the true population mean widget width is between 11.5 and 27.3 units.

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Answer:

59.44

Step-by-step explanation:

Nine employees If an electronic company retired last year

The retirement ages are listed below

56, 65, 62, 53, 68, 58, 65, 52, 56

The mean retirement age can be calculated as follows

= 56+65+62+53+68+58+65+52+56/9

= 535/9

= 59.44

Hence the mean retirement age is 59.44

9514 1404 393

Answer:

  C.  35.3 km

Step-by-step explanation:

From your knowledge of right triangles, you know that the hypotenuse is longer than the longest leg and shorter than the sum of the legs.

For this geometry, the distance of interest is longer than 32 km and shorter than 15+32 = 47 km. The only answer choice in the correct range is ...

  35.3 km

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer:

D. The sum of the angles is 90°.

Step-by-step explanation:

The definition of complementary angles is that their measures add to 90°.

Answer:

\( {4x}^{2} - 20x + 25\)

Step-by-step explanation:

\( {(2x - 5)}^{2} = {(2x)}^{2} - 2(2x)(5) + {5}^{2} = 4 {x}^{2} - 20x + 25\)

The mean of a distribution is 217, while the median is 217.The statements is likely to be true about the distribution is  option  D. It is not symmetrical.

The distribution is likely to be asymmetrical if the mean and median have different values. If the mean and median of a distribution are equal, it is likely that the distribution is symmetrical, which means it has equal tail sizes on both sides. However, if the mean and median are not equal, it indicates that the distribution is skewed.

A negatively skewed distribution means that the mean is less than the median, whereas a positively skewed distribution means that the mean is greater than the median.In this case, since the mean and median of the distribution are equal, it is likely to be symmetrical. Since none of the options say "symmetrical," option D, "It is not symmetrical," is the correct answer.

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The difference of the algebraic expressions is 3x² - 11x + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The difference of two algebraic expressions means the subtraction of the expressions. That is:

(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1

                                 =  3x² - 11x + 4

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As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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Answer:

3s + 22 = 13

Step-by-step explanation:

Answer:

\(\frac{5}{10}\)

Step-by-step explanation:

Calculate the difference between A and B using the absolute value

| - \(\frac{7}{10}\) - (- \(\frac{2}{10}\) )  = | - \(\frac{7}{10}\) + \(\frac{2}{10}\) | = | - \(\frac{5}{10}\) | = \(\frac{5}{10}\)

or

| | - \(\frac{2}{10}\) - (- \(\frac{7}{10}\) ) | = | - \(\frac{2}{10}\) + \(\frac{7}{10}\) | = | \(\frac{5}{10}\) | = \(\frac{5}{10}\)

positive

Step-by-step explanation:

b edge2020

If Katie Pittman earns a $60,840 annual salary, her weekly gross salary is $1170.

What is  weekly gross salary?

The number of hours worked multiplied by the hourly wage of an employee is how gross wages are determined for hourly workers. For instance, an employee making $12 per hour and working 25 hours per week would earn a gross weekly salary of $300 (25 x 12 = 300).

What is annual salary?

The gross pay (before tax deductions) divided by the number of pay periods in a year yields the yearly salary. For instance, a worker making $1,500 each week would make $78,000 a year (1,500 multiplied by 52).

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Our calculated t-value of \(4.22\) is greater than the critical t-value of 1.684, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean starting salary for college graduates who major in Statistics has increased.

We can use a one-sample t-test to test the claim that the mean starting salary for college graduates who major in Statistics has increased.

The null hypothesis is that the mean starting salary is still $\(54000\), while the alternative hypothesis is that the mean starting salary is greater than $\(54000\).

We can calculate the t-statistic as:

t = (sample mean - null hypothesis value) / (standard error of the mean)

= \((63500-54000)/(10540/\sqrt{40}\)

= \(4.22\)

where \(\sqrt{40}\) is the sample size.

The degrees of freedom for the t-test is \((n-1) = 39\), where n is the sample size.

Using a t-table or calculator with \(39\) degrees of freedom, a one-tailed test, and a significance level of \(0.05\), we find the critical t-value to be \(1.684\)

Since our calculated t-value of \(4.22\) is greater than the critical t-value of \(1.684\), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean starting salary for college graduates who major in Statistics has increased.

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Answer:

(4,-2)

Step-by-step explanation:

plug in and simplify;

y+2=-3(x-4)

-2+2=-3(x-4)

0=-3x+12

3x=12

x=4

The similarity ratio of  PQR to VXW is represented as 4 / 1

Similar triangles have the same shape but there sizes may vary. In similar triangles, corresponding sides are always in the same ratio.

The corresponding angles are congruent.

Therefore, the similarity ratio can be found as follows:

PQ / VX = PR / VW = QR / XW

Therefore,

8 / 2 = 4 / 1 = 8 / 2

4 / 1 = 4 / 1 = 4 / 1

Therefore, he similarity ratio of  PQR to VXW is 4 / 1

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Answer:

56

Step-by-step explanation:

Answer:

\(\frac{8}{9}\)

Step-by-step explanation:

Given

Series: 0.8 + 0.08 + 0.008 + 0.0008 + ...

Required

Determine a rational number to represent the series

To do this, we simply get the sum to infinity of the series;

This is done as follows;

\(S = \frac{a}{1 - r}\)

Where a represent the first term

\(a = 0.8\)

r represent the common ratio

\(r = \frac{0.08}{0.8}\)

\(r = 0.1\)

Substitute these values in the above formula

\(S = \frac{0.8}{1 - 0.1}\)

\(S = \frac{0.8}{0.9}\)

Multiply the numerator and denominator by 10

\(S = \frac{8}{9}\)

Hence;

The number is \(\frac{8}{9}\)

Answer:

A direct variation

Step-by-step explanation:

Answer:

3= 7 4=2.75

Step-by-step explanation:

Answer:

TRUE. Absolute value of positive numbers stay positive.

Answer:

True

Step-by-step explanation:

The absolute value of a positive number would be the number itself. Because 11 is a positive number, its absolute value would be 11.

If it were a negative number, the absolute value would be the positive versions of that number. For example, if a number is -5, the absolute value of -5 would be 5.

Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

Last one!!!! A = 0.5h(b1 + b2)

I hope this helps, have a good day!

Answer: the awnser is the last one to find the area of a trapizoid you have to add the 2 side so a + b then divide by 2 then multiply by the height

Step-by-step explanation:

Answer:

Step-by-step explanation:

For each one you would take the Q1 and the Q3 value of the box and whisker plot and subtract them

Q3 - Q1 = IQR(interquartile range)

45 - 20 = 25

40 - 10 = 30

10 - 6 = 4

20 - 8 = 12

Answer:

6

Step-by-step explanation:

hehdhrhrhrhrbrhhffh

we know angle RLP= 100⁰

also

angle RLP+ angle RLB=180⁰(Linear pair)

=>100⁰+angleRLB= 180⁰

=> angle RLB=80⁰

since BR and LR are equal, angle RBL and angle RLB are equal

therefore angle RBL is also equal to 80⁰

using angle sum property of triangles we know that the sum of all angles in a triangle is equal to 180⁰

=>angle BRL+angle RBL+angle RLB= 180⁰

=> angle BRL+80⁰+80⁰=180⁰

=>angle BRL = 180⁰-160⁰

=>angle BRL= 20⁰

I'm sorry it took me some time I'm a slow typer

Answer:

I think its c i'm not sure though i'm so sorry if i'm wrong I would recommend waiting for another answer if u don't trust me but good luck !