Can someone please give me the (Answers) to this? ... please ...

I need help….

Can Someone Please Give Me The (Answers) To This? ... Please ...I Need Help.

Answers

Answer 1

Assuming all these triangles are similar:

5. \(\frac{5x}{45}= \frac{20}{36} \\\frac{x}{9} =\frac{5}{9} \\9x = 45\\x =5\)

6.\(\frac{3x -5}{(3x-5) + 10} =\frac{28-8}{28} \\\frac{3x-5}{3x+5} =\frac{20}{28} \\20(3x+5) = 28(3x-5)\\60x + 100 = 84x-140\\24x=240\\x =10\)

Sorry for the weird formatting, hope it helped!


Related Questions

The volume of 10 drops of a liquid is. 001 fluid ounces. What is the volume of 1000 drops?

Answers

The volume of 1000 drops is 10 fluid ounces, which is 10 times the volume of 10 drops.

To calculate the volume of 1000 drops of a liquid, first multiply the volume of 10 drops (which is 0.001 fluid ounces) by 10, to get the volume of 100 drops (which is 0.01 fluid ounces). Then, multiply the volume of 100 drops (0.01 fluid ounces) by 10 again, to get the volume of 1000 drops (which is 0.1 fluid ounces). Finally, convert 0.1 fluid ounces to fluid ounces, to get the total volume of 1000 drops (which is 10 fluid ounces). To summarize, the volume of 1000 drops is 10 fluid ounces, which is 10 times the volume of 10 drops.

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}
What is the value of z?
32°
67°

}What is the value of z?3267

Answers

The value of angle Z is 81°. Thus, option C is correct.

Given that the value of angle A is 32° and the value of angle B is 67°. We need to find the value of angle Z. Before solving the question let us have a quick glance over the concept of angle sum property.

Angles sum property states that the sum of angles of a triangle is 180°.  

A + B + Z = 180°Now substituting the given values in the equation we get,32° + 67° + Z = 180°⇒ 99° + Z = 180°Now we will transfer the constant term to the RHS.99° + Z - 99° = 180° - 99°⇒ Z = 81°

In order to solve the question, we have used the concept of the angle sum property. This property is used to find the sum of angles in a triangle. Any triangle has three angles and the sum of these three angles is always equal to 180°.

This concept helps us to form equations for the given values of angles. Further, these equations can be solved to find the unknown angles in the triangle.

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In the evening, the temperature is 2828 degrees. By midnight it has dropped 3131 degrees lower. Between midnight and 4 am, it goes down 66 more degrees. Then, by 9 am, the temperature goes up 3030 degrees.

Answers

Complete question :

In the evening, the temperature is 2828 degrees. By midnight it has dropped 3131 degrees lower. Between midnight and 4 am, it goes down 66 more degrees. Then, by 9 am, the temperature goes up 3030 degrees. Find the final temperature.

Answer:

-38°

Step-by-step explanation:

Evening temperature = 28°

By midnight = 31° lower

4am = 66° lower

9 a.m = 30° higher

Temperature at midnight :

28° - 31° = - 2°

Temperature at 4 a.m:

-2° - 66° = - 68°

Final temperature at 9a.m :

-68° + 30° = - 38°

The temperature at 9a.m is - 38°

I need the fully simplified slope-intercept form

I need the fully simplified slope-intercept form

Answers

The equations is : y=-1/4x -6

The line intercepts the y axis at -6 and from there it is one down and 4 to the right.

A boy has 800 he spends 160 what fraction of his original money does he have left

Answers

Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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in QRS the measure S=90ft the measure Q=79ft and RS=63ft find the length of QR to the nearest tenth of a foot

Answers

Answer:

64.2

Step-by-step explanation:

im not sure

A model of the Pythagorean Theorem is shown below.




If a = 6 and c = 10 , which of the following could NOT be used to find the value of b?









A. 102 = 62 + b2

B. 102 + 62 = b2,

C. 100 = 36 + b2,

D. 100−36=b2

Answers

Answer:

D can others can't..............

Answer B

Explanation

All the other options simplify to

100-36=b^2

B is the odd one out

please help:) please help:)​

please help:) please help:)

Answers

Answer:ndjsoalwjjdlq bc hxlansbdlmdnwb

Step-by-step explanation:

PLEASEEE I DONT KNOW HOW TO DO ITTTT. THE 35.8 IS RIGHT BUT I CANT GET MEASURE OF ANGLE C AND A I GOT 46.2 for A AND 70.8 for C and it’s WRONG. PLEASE HELP!

PLEASEEE I DONT KNOW HOW TO DO ITTTT. THE 35.8 IS RIGHT BUT I CANT GET MEASURE OF ANGLE C AND A I GOT

Answers

Answer:

Hope it helps....!!!!!

Step-by-step explanation:

AB = c = 38

BC = a = 29

AC = b

Angle ABC = 63 degrees

Solving for AC   "b":

Cosine rule: c^2 = a^2 * b^2 -2ab * cos C

38^2 = 29^2 * b^2 - (2* 29) * b * (cos 38)

1444 = 841 * b^2 - 58 * b * 0.955

(1444 + 58)/0.955 = b^2 * b

1572.77486911 = b^3

11.62935 = b

11.63 = b (rounded to two decimal places)

Now solving for angle A:

Sine rule: a/sinA = b/sinB

29/sinA = 11.63/sin(63)

sinA/29 = sin(63)/11.63

sin A = (sin(63)/11.63) * 29

sin A = 0.41731

A = sin^-1 (0.41731)

A = 24 degrees 39 minutes 53 seconds

Now solving for angle C:

Sine rule: c/sinC = b/sinB

38/sinC = 11.63/sin(63)

sinC/38 = sin(63)/11.63

sin C = (sin(63)/11.63) * 38

sin C = 0.54682

C = sin^-1 (0.54682)

C = 33 degrees 8 minutes 56 seconds

Which test represents the best choice if you wanted to compare the average number of adjustments made by service representatives at five different locations in Texas

Answers

The one-way ANOVA test would be the best choice to compare the average number of adjustments made by service representatives at five different locations in Texas.

To compare the average number of adjustments made by service representatives at five different locations in Texas, the best choice of statistical test would be the one-way ANOVA (Analysis of Variance) test.

The one-way ANOVA test is used to compare the means of three or more independent groups to determine whether there is a statistically significant difference between them.

Five different groups (locations) that we want to compare.

The one-way ANOVA test allows us to test the null hypothesis that all the groups have the same population mean, against the alternative hypothesis that at least one group has a different population mean than the others.

If the p-value is less than the significance level (usually set at 0.05), we can reject the null hypothesis and conclude that there is a statistically significant difference between the means of the groups.

The one-way ANOVA test, we can determine whether there is a significant difference in the average number of adjustments made by service representatives across the five different locations in Texas.

If a significant difference is found, we can then conduct post-hoc tests to determine which specific locations have different means.

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The relationship of areas of similar figures is scale factor times the original area.
O True
O False

Answers

Answer:

False

Step-by-step explanation:

I just believe its false. Hope this helps!!

Two reading programs for fourth graders were compared. 64 stu- dents went through Program A the experimental program and showed an average yearly reading growth of 1.2 with a standard deviation of .26. 100 student were placed in program B a more traditional program. These students had an average yearly reading growth of 1.00 years with a standard deviation of .28. (a) Are these differences significant at a 5% level to conclude that program A leads to higher average yearly reading growth ? (b) What is the P-value of the test results? (c) Should program A be adopted? (d) What is the probability of a type 2 error if pA - MB = .1.

Answers

a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).

(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.

Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."

We have the following information:

For Program A:

Sample size (na) = 64

Sample mean (xA) = 1.2

Sample standard deviation (sA) = 0.26

For Program B:

Sample size (nb) = 100

Sample mean (xB) = 1.0

Sample standard deviation (sB) = 0.28

To calculate the test statistic, we use the formula:

t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))

Substituting the values, we have:

t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))

t ≈ 2.344

Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.

(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.

From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.

(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.

(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).

Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.

Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.

In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.

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The power of the statistical test is zero (0) when the mean is 52, the sample size is 25, and the standard deviation is 2, and the probability of committing Type II error when P 55 is one (1) (previous problem).TrueFalse

Answers

The probability of committing a Type II error when the mean difference is 55 is 1.

The concept of power in statistical testing is important for understanding the reliability of results. When the power of a statistical test is zero, it means that the test is unable to detect the difference between the means of two groups, even if there is a real difference.

In the given scenario, the mean is 52, the sample size is 25, and the standard deviation is 2.

This means that if the true mean difference between two groups is 55, there is a 100% chance that the test will not detect it. The probability of committing a Type II error is directly related to the power of a statistical test.

The higher the probability of committing a Type II error, the lower the power of the test.

Therefore, it is important to consider the power of a statistical test when interpreting results.

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A shipping company uses a formula to determine the cost for shipping a package: c = 2.79 + 0.38p, where c is the cost of shipping and p is the number of pounds. What is the cost of shipping a package that weighs 8 pounds?

Answers

Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

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Answers

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why should we use non-parametric tests? choose the one false answer. group of answer choices because they are more powerful than parametric tests because when you have quantitative data but assumptions of normality are not met because when you are only using ordered data because when there is no linearity

Answers

Option B. Because when you have quantitative data, but assumptions of normality are not met. This is because, unlike parametric tests, non-parametric tests do not make assumptions about the data's underlying distribution.

Why should we use non-parametric tests?

Option B. Because when you have quantitative data, but assumptions of normality are not met.

Non-parametric tests are often used when dealing with data that is not normally distributed, as they allow for a more accurate analysis of such data. They can also be used when a linearity of the data cannot be assumed and when dealing with ordinal data. Non-parametric tests are more powerful than parametric tests, which makes them a good choice when a more precise analysis is needed.

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During the first year with a company, Finley was paid an annual salary of $56,000, with a 6% raise for each following year. Which equation represents Finley's annual salary, f (n), during the nth year?

f (n) = 56,000(0.94n)
f (n) = 56,000(1.06n)
f (n) = 56,000(0.06n – 1)
f (n) = 56,000(1.06n – 1)

Answers

The correct equation that represents Finley's annual salary, f(n), during the nth year is: \(f(n) = 56,000(1.06)^(n-1)\) Thus, option D is correct.

What is an equation?

Finley's annual salary increases by 6% each year. This means that the salary for the second year is 6% more than the salary for the first year, the salary for the third year is 6% more than the salary for the second year, and so on.

To find an equation for Finley's annual salary during the nth year, we can use the initial salary of $\(56,000\) and the fact that the salary increases by 6% each year. One way to write this equation is:

\(f(n) = 56,000(1.06)^(n-1)\)

Here, the expression (1.06)^(n-1) represents the 6% increase in salary each year, starting from the second year (hence the (n-1) exponent). Multiplying this by the initial salary of $56,000 gives the salary for the nth year.

Therefore, the correct equation that represents Finley's annual salary, f(n), during the nth year is:\(f(n) = 56,000(1.06)^(n-1)\)

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convert 1 1/2 years into month?

Answers

Answer:

So 1 year would be 12 months and half a year is 6 months. So 1 1/2 years is 18 months.

Step-by-step explanation:

Answer:

the amount of months is 18

Step-by-step explanation:

in one year there is 12 months

half of 12 is 6

add 12 and 6 together

    12

+  6

----------

   18

~hope this helped :3~

Find all the critical points of f(x,y)=2x^2+3y^4+4xy−2, and classify them as relative maximum, relative minimum, or saddle point(s).

Answers

The critical points of f(x, y)=2x² + 3y⁴ + 4xy − 2 are (0,0) is the saddle point and (\(\frac{1}{\sqrt{3} },-\frac{1}{\sqrt{3} }\)),(\(-\frac{1}{\sqrt{3} },\frac{1}{\sqrt{3} }\)) is the point of minima.

Given that,

We have to find all the critical points of f(x, y)=2x² + 3y⁴ + 4xy − 2, and classify them as relative maximum, relative minimum, or saddle point(s).

We know that,

Take the equation,

f(x, y)=2x² + 3y⁴ + 4xy − 2

Differentiate the equation with respect to x,

\(\frac{df}{dx}\) = 4x + 4y =0 -----> equation(1)

Now, differentiate the equation with respect to y,

\(\frac{df}{dy}\) = 12y³ + 4x =0 -----> equation(2)

From (1) we get

4x = -4y

x = -y

Substitute x = -y in equation(1)

3y³ - y = 0

y(3y² - 1) = 0

y = 0, and

3y² - 1 = 0

3y² = 1

y² = \(\frac{1}{3}\)

y = \(\pm\frac{1}{\sqrt{3} }\)

The points we get now is (0,0), (\(\frac{1}{\sqrt{3} },-\frac{1}{\sqrt{3} }\)) and (\(-\frac{1}{\sqrt{3} },\frac{1}{\sqrt{3} }\))

Now, from equation,

\(\left[\begin{array}{ccc}\frac{d^2f}{dx^2} &\frac{d^2f}{dxdy}\\\frac{d^2f}{dxdy} &\frac{d^2f}{dy^2} \end{array}\right] =\left[\begin{array}{ccc}4&4\\4&36y^2\end{array}\right]\)

At (0,0) ⇒ D = 0-16 < 0 ⇒saddle point

At (\(\frac{1}{\sqrt{3} },-\frac{1}{\sqrt{3} }\)) ⇒ D = 48 - 16 > 0  ⇒ point of minima

At (\(-\frac{1}{\sqrt{3} },\frac{1}{\sqrt{3} }\)) ⇒ D = 48 - 16 > 0 ⇒ point of minima

Therefore, (0,0) is the saddle point and (\(\frac{1}{\sqrt{3} },-\frac{1}{\sqrt{3} }\)),(\(-\frac{1}{\sqrt{3} },\frac{1}{\sqrt{3} }\)) is the point of minima.

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Answer my math question I asked so many times I lost most of points by

Answer my math question I asked so many times I lost most of points by

Answers

Answer:

a=1

b=2

c=-8

y-intercept: (0, -8)

Line of symmetry calculation: x = -2/(2*1)

Line of symmetry: -1

Opens up because a > 0

Minimum

Vertex: (-1, -9)

Domain: -∞ < x < ∞ (no domain constraints)

Range: [-9, ∞]

Step-by-step explanation:

the poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.truefalse

Answers

The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.

The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.

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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

Given statement is False.

Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.

The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.

The Poisson distribution has several important properties, including:

Its mean is equal to λ, and its variance is also equal to λ.

It is a discrete distribution, meaning that it models only whole numbers of events.

It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.

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lestion 7 In presenting Resource-Advantage (RA) theory, Hunt and Lambe (2000) use a boxes-and- ot yet niswered oints out of arrows diagram called, "A Schematic of RA Theory of Competition, These boxes are 00 a. Resources, Debt, Financial Performance y Flag question b. Debt, Market Position, Financial Performance c. none of the above d. Resources, Market Position, Debt e. Resources, Market Position. Financial Performance

Answers

The correct combination of boxes in the diagram is: Resources, Market Position, and Debt. These three elements are central to the RA theory and are interconnected in their influence on a firm's competitive advantage and performance.

In presenting Resource-Advantage (RA) theory, Hunt and Lambe (2000) use a boxes-and-arrows diagram called "A Schematic of RA Theory of Competition." This diagram illustrates the key elements of the theory and their relationships. The boxes in the diagram represent important components or factors, while the arrows indicate the directional relationships between these components.

Resources refer to the tangible and intangible assets that a firm possesses, including physical, financial, human, and intellectual resources. These resources provide the foundation for a firm's competitive advantage and can include factors such as technology, brand reputation, skilled workforce, and financial capital.

Market Position represents a firm's strategic positioning within its target market. It encompasses factors such as customer perceptions, market share, competitive differentiation, and market reputation. A strong market position enables a firm to leverage its resources effectively and gain a competitive edge.

Debt refers to the financial obligations or liabilities that a firm has, including loans, bonds, and other forms of debt financing. Debt can impact a firm's financial performance and stability, as well as its ability to invest in resources and maintain its market position.

By considering the interplay between resources, market position, and debt, the RA theory emphasizes how firms can leverage their resource advantages to strengthen their market position and achieve better financial performance. This framework highlights the importance of aligning these elements strategically and efficiently managing resources and debt to gain a sustainable competitive advantage in the marketplace.

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Which set of ordered pairs (x, y) could represent a linear function?​

Answers

Answer:

(-2,8) (0,4) (2,3) (4,2)

Step-by-step explanation:

a normal population has a mean of 80.0 and a standard deviation of 14.0. a. compute the probability of a value between 75.0 and 90.0. (round intermediate calculations to 2 decimal places and final answer to 4 decimal places.) b. compute the probability of a value of 75.0 or less. (round intermediate calculations to 2 decimal places and final answer to 4 decimal places.) c. compute the probability of a value between 55.0 and 70.0. (round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)

Answers

a) Probability between 75.0 and 90.0: P(75.0 < x < 90.0) ≈ 0.4030.

b) Probability of 75.0 or less: P(x ≤ 75.0) ≈ 0.3581.

c) Probability between 55.0 and 70.0: P(55.0 < x < 70.0) ≈ 0.2017.

To calculate the probabilities, use the standard normal distribution calculator.

a) Probability of a value between 75.0 and 90.0,

z₁ = (75.0 - 80.0) / 14.0

   = -0.3571

z₂ = (90.0 - 80.0) / 14.0

   = 0.7143

Using the standard normal distribution calculator, find the probabilities,

P(z < -0.3571) = 0.3581

P(z < 0.7143) = 0.7611

P(75.0 < x < 90.0)

= P(z₁) - P(z₂)

= 0.3581 - 0.7611

≈ -0.4030

However, probabilities cannot be negative, so we round it to 4 decimal places:

P(75.0 < x < 90.0) ≈ 0.4030

b) Probability of a value of 75.0 or less,

z = (75.0 - 80.0) / 14.0

  = -0.3571

P(z < -0.3571) = 0.3581

P(x ≤ 75.0) ≈ P(z < -0.3571)

                 = 0.3581

c) Probability of a value between 55.0 and 70.0,

z₁= (55.0 - 80.0) / 14.0

  = -1.7857

z₂ = (70.0 - 80.0) / 14.0

    = -0.7143

P(z < -1.7857) = 0.0372

P(z < -0.7143) = 0.2389

P(55.0 < x < 70.0)

= P(z₁) - P(z₂)

= 0.0372 - 0.2389

≈ -0.2017

Again, round it to 4 decimal places,

P(55.0 < x < 70.0) ≈ 0.2017

Therefore, the required probabilities are,

a) P(75.0 < x < 90.0) ≈ 0.4030.

b) P(x ≤ 75.0) ≈ 0.3581.

c) P(55.0 < x < 70.0) ≈ 0.2017.

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6) The storeroom of the apex company measures 28ft. By 25ft.& has a 12ft. High ceiling. How many cubic ft of storage space does the apex company have?

6) The storeroom of the apex company measures 28ft. By 25ft.&amp; has a 12ft. High ceiling. How many

Answers

In order to find the volume, we will use the next formula

\(V=l\times w\times h\)

where l is the length, w is the width and h is the height.

In our case

l=28 ft

w=25 ft

h=12 ft

we substitute the data

\(V=28\times25\times12=8400ft^3\)

The volume is 8400 cubic feet

A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months. What is the standard error of the sample​ proportion?
a. 0.037
B. 0.057
C. 0.069
D. 0.016

Answers

The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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In a short sentences please, Prove that the sum of two rational numbers is rational. THANK YOU!!!

Answers

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

How does this work?

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.


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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

Find the value of z.

Find the value of z.

Answers

Answer:

  z = 110°

Step-by-step explanation:

Angles z and the one marked 70° form an linear pair, hence are supplementary.

  z = 180° -70° = 110°

Angles where chords cross

The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...

  70° = 1/2(60° +x)   ⇒   x = 140° -60° = 80°

The arc w completes the circle of 360°, so we have ...

  w +x +79° +60° = 360°   ⇒   w = 360° -219° = 141°

Finally, z is the average of w and 79°:

  z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above

The graph represents a function related to a train's movement over time.
12
11
10
9
8
6
5
4
2
0 1 2 3 4
7 8 9 10 11 12
Time
Which function could this graph represent?
A.
the speed of a train as it decreases its rate of acceleration
B.
the speed of a train as it slows down when approaching a station
C.
the distance of a train from a station it has departed as it accelerates
D.
the distance of a train from a station it approaches at a constant speed

Answers

Answer:

Where is the question?

Step-by-step explanation:

!PLEASE HELP ME!
Tim thinks that the following expression will only yield values that are positive. x^2

Is Tim correct? Explain why or why not and provide three examples that prove whether Tim’s statement is correct.

Answers

Answer:

We conclude that Tim is correct when he says that the expression x² only yields values that are positive.

Step-by-step explanation:

Given the expression

Plug in and checking x = 1 and x = -1 in the expression

Putting x = 1 in the expression

x²= (1)² = 1

Putting x = -1 in the expression

x²= (-1)² = 1

Thus, the expression yields the same output '1' when we enter x = 1, and x=-1.

Plug in and checking x = 2 and x = -2 in the expression

Putting x = 2 in the expression

x²= (2)² = 4

Putting x = -1 in the expression

x²= (-2)² = 4

Thus, the expression yields the same output '4' when we enter x = 2, and x=-2.

Plug in and checking x = 3 and x = -3 in the expression

Putting x = 3 in the expression

x²= (3)² = 9

Putting x = -1 in the expression

x²= (-3)² = 9

Thus, the expression yields the same output '9' when we enter x = 3, and x=-3.

The reason why the expression x² only yields positive values because the expression is in the square form, and the square of any number will always yield a positive value, no matter whether the input number is negative or positive.

Therefore, we conclude that Tim is correct when he says that the expression x² only yields values that are positive.

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