Step-by-step explanation:
incomplete question. not enough information to solve.
Chapel Hill Carrboro City Schools claim that 82% of students pass their EOY tests but a survey of 100 randomly selected
local students who had taken the test found only 75 who passed. Does this finding suggest that the passing rate for
teenagers is lower than what CHCCS reported?
Step 1: Hypotheses
Null:
Alternative:
Step 2: Check Conditions
Randomization:
10% condition:
Success/failure condition:
Step 3: Mechanics:
Step 4: Stating the conclusion:
Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, this finding does suggest that the passing rate for teenagers is lower than what CHCCS reported.
HypothesisAt the null hypothesis, it is tested if the passing rate is of at least 82%, that is:\(H_0: p \geq 0.82\)
At the alternative hypothesis, it is tested if the passing rate is of less than 82%, that is:\(H_1: p < 0.82\)
Randomiztion and 10% conditionThe students on the sample are chosen at random, hence the randomization condition is respected.75 students passed, 25 did not, hence there are at least 10 successes and 10 failures in the sample and the 10% condition is also respected.Test statisticThe test statistic is given by:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are:
\(p = 0.82, n = 100, \overline{p} = \frac{75}{100} = 0.75\)
Hence, the value of the test statistic is:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.75 - 0.82}{\sqrt{\frac{0.82(0.18)}{100}}}\)
\(z = -1.82\)
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05 is of \(z^{\ast} = -1.645\)
Since the test statistic is less than the critical value for the left-tailed test, this finding does suggest that the passing rate for teenagers is lower than what CHCCS reported.
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How do I solve this equation?
Step-by-step explanation:
first u gotta make the solutions on the other side a negative then keep the positive so now you've gotten rid of the lines so now I gotta solve both 4x-3<7 and 4x-3<-7 then solve liek you regular would with moving the 3 to the other side
4x<10 and 4x<-4 then divide both of them by the number itself to get x by itself
A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (−7.0×104 s2g⋅m2)⋅ΠΠ=? s2kg⋅m2
The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)
What is the value of the missing part in the equation?To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:
\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)
In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.
To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:
1 kg / 1000 g
To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:
\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)
Simplifying this expression, we get:
\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)
Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)
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What is the common difference of the sequence below?
-7, -11, -15, -19, ...
a) d = 4
Go to station 3
Go to station 7
b) d = 5
|
c) d= -4
Go to station 5
d) d = -5
Go to station 9
Answer:83999955 because of the gravity
Step-by-step explanation:
suppose the proportion of students in school a diagnosed with adhd is p1 and the proportion of students in school b diagnosed with adhd is p2. state the null hypothesis for a test to determine if school a has the lower proportion of students diagnosed with adhd.
H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)
Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.
Symbolically, the null hypothesis can be stated as:
H0: p1 ≥ p2
Where:
H0: Null Hypothesis
p1: Proportion of students diagnosed with ADHD in School A
p2: Proportion of students diagnosed with ADHD in School B
In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.
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Mrs Smith walks a half a mile a day after work. She works five days a week. How many yards will she have walked for the week by Friday morning?
The distance Mrs. Smith covers is 3520 yards during the duration of the week by Friday morning.
One week has seven days in total.
Mrs. Smith walks half a mile each day after work, she walks a total of
0.5 miles/ day × 7 days/ week = 3.5 miles/ week
Now, if we calculate the distance on Friday morning, she must have walked four times till Friday morning since she has to walk after her work.
Therefore,
0.5 miles/ day × 4 days = 2 miles
To convert miles to yards, we can use the fact that there are 1760 yards in one mile:
2 miles/week × 1760 yards/mile = 3520 yards/week
Therefore, by Friday morning, Mrs. Smith will have walked 3520 yards.
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i need help beacuse im not smart
Answer:
4/10
Step-by-step explanation:
Since the denominators are the same, add the numerators (3 + 1)
and you are smart
a + 8 = 19 . Find the value of a.
Answer:
a = 11
Step-by-step explanation:
a + 8 = 19
=> a = 19 - 8
=> a = 11
3x+7y=63 solve for x
Answer:
\(x = 21 - 2\frac{1}{3}y\)
Step-by-step explanation:
3x + 7y = 63
Minus 7y from both sides, then you get...
3x = 63 - 7y
Now we divide both sides by three to find the value of x:
\(x = 21 - 2\frac{1}{3}y\)
Directions: Fill in the missing words to complete the meaning. Choose your answer
from the choices given inside the box. Copy and answer on a sheet of paper.
decimal point
hundred
lowest
numerator
percent
Percent means per (1)
Percent can be written as a ratio with 100 as
the second term or a fraction with 100 as the denominator. It can also be written as
decimal number
To change percent to fraction, remove the percent sign and write the number as
the (2), then write 100 as denominator. Change the fraction to (3)
term
In writing percent to decimal, remove the percent sign, then move the (4)
twice to the left. In changing decimal to (5)
we move the
decimal point twice to the right and affix the percent sign.
Answer:
(1) Hundred
(2) Numerator
(3) Percent
Step-by-step explanation:
What two tags should you always close your website out with ?
Answer:
</html>
Step-by-step explanation:
This is so because remember when programming in HTML once u put a code word after <html> always close it off with </html>
Answer:
Step-by-step explanation:
The person above me is right
Which sentence is written correctly?
O A
No one know who hid the book in the desk.
OB.
Whoever sent me flowers are my new best friend.
O C.
Everyone is invited to Anne's party next week.
OD. All of my friends is going to the big dance.
Of the last 12 contestants on a game show, 9 qualified for the next round.
What is the experimental probability that the next contestant will qualify for the next round?
Answer:
0.75
Step-by-step explanation:
Given:
Of the last 12 contestants on a game show, 9 qualified for the next round.
To find:
The experimental probability that the next contestant will qualify for the next round.
Solution:
Probability refers to the chances of occurrence of some event.
Probability = Number of favourable outcomes/Total number of outcomes
Number of contestants who qualify for the next round = 9
Total number of contestants = 12
So,
The experimental probability that the next contestant will qualify for the next round = \(\frac{9}{12}=\frac{3}{4}=0.75\)
Pls help quick.Up to 5 or 10 points.
Answer:
h = 4 cm
Step-by-step explanation:
See attached image.
A group of friends is sharing 212 pounds of berries. If each friend received 54 of a pound of berries, how many friends are sharing the berries?
There are a total of 212 pounds of berries, and the number of friends sharing the berries is equal to 4.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
The total amount of berries = 212 pounds
The number of berries received by each one = 54 pounds
Then, the number of friends sharing the berries is:
212/54 = 3.92 ≈ 4 friends.
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Increased by 6 is equal to 13
Answer: 7
Step-by-step explanation: 13 - 6 = 7
The standard deviation of a point estimator is the:.
The standard deviation of a point estimator is a measure of the variability or spread of the sampling distribution of the estimator.
n statistical inference, a point estimator is a statistic used to estimate an unknown population parameter based on sample data. The point estimator provides a single value or point estimate that serves as an estimate of the parameter of interest.
However, due to sampling variability, the estimates obtained from different samples are not expected to be exactly the same. The standard deviation of the point estimator quantifies this variability. It represents the typical amount by which the estimates from different samples deviate from the true population parameter.
A smaller standard deviation of the point estimator indicates that the estimates from different samples are more likely to be close to the true population parameter. Conversely, a larger standard deviation suggests that the estimates are more likely to be scattered further away from the true parameter.
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A car rental agency charges $15 a day for driving a car 200 miles or less. If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven. Which of the following functions represents the cost to drive a car from this agency miles x a day?
The function which represents the cost to drive a car from this agency miles x a day is :
C(x) = 15, if 0 ≤ x ≤ 200
= 15 + 0.05x, if x > 200
Given that,
A car rental agency charges $15 a day for driving a car 200 miles or less.
The function can be written as,
C(x) = 15 if 0 ≤ x ≤ 200
If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.
C(x) = 15 + 0.05x, if x > 200
Hence the correct option is D.
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1. Which indicates the dilation of a figure in the coordinate plane?
A. (x,y) —> (kx,ky)
B. (x,y) —> (-y,x)
C. (x,y) —> (-x,-y)
D. (x,y) —> (x+h,y+v)
Answer:
A. \((x,y)\) ⇒ \((kx, ky)\)
Step-by-step explanation:
Because that's the dilation equation or formula
what value is expected for the f-ratio, on average, if the null hypothesis is true in an anova? explain why. the numerator of the f-ratio measuresall differences between samples , and the denominator measuresonly random differences . if there is no treatment effect, differences between samples are due toonly random differences , so the numerator and denominator measurethe same sources of variability and should beabout equal and have a ratioclose to 1 .
If the null hypothesis is true in an ANOVA, the expected value for the F-ratio is close to 1. the F-ratio compares the variability due to treatment effects with the variability due to chance.
This is because the numerator of the F-ratio measures the variability between the sample means, which is expected to be small if the null hypothesis is true. On the other hand, the denominator measures the variability within the samples, which is expected to be larger due to random variation. Therefore, if there is no treatment effect, the numerator and denominator should be similar, resulting in an F-ratio close to 1.
In other words, the F-ratio compares the variability due to treatment effects with the variability due to chance. If the null hypothesis is true, there should be no systematic differences between the groups, and any differences observed are likely due to chance. Hence, the F-ratio should be close to 1, indicating that the treatment has no significant effect on the outcome.
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4. Bikes A and B are traveling on perpendicular roads. At the same time, bike A is
leaving the intersection at a rate of 2 feet per second and bike B is leaving the
intersection at 3 feet per second. How fast is the distance, in feet per second between
them changing after 5 seconds?
Answer:
\(\sqrt{13}\)
The rate of change of distance between two cars at the given time is required.
The required rate of change is \(\sqrt{13}\) feet/s
Rate of changea = Distance covered in 5 s by bike A = \(2\times 5=10\ \text{feet}\)
b = Distance covered in 5 s by bike B = \(3\times 5=15\ \text{feet}\)
c = Distance between A and B in 5 s = \(\sqrt{10^2+15^2}=5\sqrt{13}\ \text{feet}\)
Applying Pythagoras theorem
\(a^2+b^2=c^2\)
Differentiating with respect to time
\(2a\dfrac{da}{dt}+2b\dfrac{db}{dt}=2c\dfrac{dc}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{10\times 2+15\times 3}{5\sqrt{13}}\\\Rightarrow \dfrac{dc}{dt}=\sqrt{13}\ \text{feet/s}\)
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correct answer will be marked as brainliest
Answer:
h=9cm
P=(x+5)cm
b=(x-3)cm
by the Pythagoras theorem,
h^2=p^2+b^2
9^2=(x+5)^2+(x-3)^2
81=x^2+10x+25+x^2-6x+9
81=2x^2+4x+34
Pseudoscience lacks the (choose one: lenient or rigorous) standards used in real scientific inquiries.
Pseudoscience lacks rigorous standards used in real scientific inquiries. Pseudoscience should be viewed with skepticism and critical evaluation to avoid being misled by unsupported claims.
Pseudoscience refers to claims, theories, or practices that are presented as scientific but lack scientific evidence, methods, or standards. Unlike real scientific inquiries, pseudoscientific claims often lack empirical evidence, peer-reviewed research, and falsifiability. This lack of rigorous standards means that pseudoscientific claims are often not subject to scrutiny and validation through empirical testing and independent review.
Pseudoscience is often associated with claims that are presented as scientific but lack scientific rigor. This means that such claims do not adhere to the rigorous standards and methods used in real scientific inquiries. In contrast, real scientific inquiries rely on empirical evidence, logical reasoning, critical thinking, and peer-reviewed research to advance knowledge and understanding of natural phenomena. One of the key differences between pseudoscience and real scientific inquiry is the absence of empirical evidence. Real scientific inquiries rely on systematic observation, measurement, and experimentation to generate empirical evidence that can support or falsify scientific claims. In contrast, pseudoscientific claims often rely on anecdotes, testimonials, or unproven assumptions to support their claims.
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A company is considering whether to market a new product. assume, for simplicity, that if this product is marketed, there are only two possible outcomes: success or failure. the company assesses that the probabilities of these two outcomes are p and 1 - p, respectively. if the product is marketed and it proves to be a failure, the company will have a net loss of $450,000. if the product is marketed and it proves to be a success, the company will have a net gain of $540,000. if the company decides not to market the product, there is no gain or loss. the company can first survey prospective buyers of this new product. the results of the consumer survey can be classified as favorable, neutral, or unfavorable. based on similar surveys for previous products, the company assesses the probabilities of favorable, neutral, and unfavorable survey results to be 0.6, 0.3, and 0.1 for a product that will eventually be a success, and it assesses these probabilities to be 0.1, 0.2, and 0.7 for a product that will eventually be a failure. the total cost of administering this survey is c dollars. let p = 0.4. for which values of c, if any, would this company choose to conduct the survey? the company should choose to conduct the survey for total survey costs that are less than
Expected gain/loss with survey = (p * (probability of success given favorable survey * gain from success + probability of failure given favorable survey * loss from failure)) + ((1-p) * (probability of success given unfavorable survey * gain from success + probability of failure given unfavorable survey * loss from failure))
= (0.4 * (0.6 * $540,000 + 0.1 * -$450,000)) + (0.6 * (0.2 * $540,000 + 0.7 * -$450,000))
he company is considering whether to market a new product. They assess that the probabilities of the outcomes - success or failure - are p and 1-p, respectively. If the product is marketed and it fails, the company will have a net loss of $450,000. If the product is marketed and it succeeds, the company will have a net gain of $540,000. If the company decides not to market the product, there is no gain or loss.
The company can conduct a survey of prospective buyers to determine the market potential. The survey results can be classified as favorable, neutral, or unfavorable. Based on similar surveys for previous products, the company assesses the probabilities of favorable, neutral, and unfavorable survey results to be 0.6, 0.3, and 0.1 for a product that will evntually be a success, and 0.1, 0.2, and 0.7 for a product that will eventually be a failure.
The total cost of conducting the survey is c dollars. The question asks for which values of c, if any, would the company choose to conduct the survey, given that p=0.4.
To determine whether to conduct the survey, we need to compare the expected gains/losses from marketing the product with and without the survey.
If the company markets the product without the survey, the expected gain/loss can be calculated as follows:
Expected gain/loss without survey = (p * gain from success) + ((1-p) * loss from failure)
= (0.4 * $540,000) + (0.6 * -$450,000)
If the company markets the product with the survey, the expected gain/loss can be calculated as follows:
Expected gain/loss with survey = (p * (probability of success given favorable survey * gain from success + probability of failure given favorable survey * loss from failure)) + ((1-p) * (probability of success given unfavorable survey * gain from success + probability of failure given unfavorable survey * loss from failure))
= (0.4 * (0.6 * $540,000 + 0.1 * -$450,000)) + (0.6 * (0.2 * $540,000 + 0.7 * -$450,000))
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The shadow of a 5-foot tall post is 15 feet long. At the same time a tree casts a shadow that is 45 feet long. What is the height of the tree?
A.
3 feet
B.
15 feet
C.
There is not enough information to solve the problem.
D.
17 feet
Answer:
B.) 15 Feet
Step-by-step explanation:
So how you would sove this problem is to see that 15/5=3, so then you will take 45 and divide that by 3 and get 15 Feet which brings your answer to be "B"!
I hope this helped you:)
gabriella is 1.25 meters tall. at 3 p.m., she measures the length of a tree's shadow to be 15.45 meters. she stands 10.2 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. find the height of the tree to the nearest hundredth of a meter.
Therefore, the height of the tree is approximately 3.67 meters making triangle.
Let h be the height of the tree. Then, using the properties of similar triangles, we can set up the following proportion:
h / 1.25 = (h + x) / 15.45
where x is the length of Gabriella's shadow. To find x, we can use a similar proportion:
h / 10.2 = 1.25 / x
Solving the second proportion for x, we get:
x = 10.2 * 1.25 / h
Substituting this expression for x into the first proportion, we get:
h / 1.25 = (h + 10.2 * 1.25 / h) / 15.45
Multiplying both sides by 15.45 * h * 1.25, we get:
15.45 * h - 15.45 * 1.25 = h * 10.2
Expanding and rearranging, we get a quadratic equation in h:
15.45h - 19.3125 = 10.2h
5.25h = 19.3125
h = 3.67 meters (rounded to two decimal places)
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Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4. (1 point)
A.) y − 1 = 4(x − 3)
B.) y + 1 = 4(x + 3)
C.) y − 3 = 4(x + 1)
D.) y + 3 = 4(x − 1)
is Average velocity equation rearranged to find the area under the curve?
Yes, the equation of velocity is rearranged to find the area under the curve.
The equation of velocity in general is v = d/t
where v = velocity, d = distance, and t = time.
We rearrange this equation to create an equation for distance and the equation of distance determines the area under the curve.
Our motive is to isolate the variable whose equation we want to create. So, in this case, isolate 'd' and move all other variables to the other side.
1. Multiply both sides by t
v × t = d/t × t
2. Cancel the t where appropriate
v × t = d
3. We get the equation for d
d = v × t
Now, this equation is used to find the area under the curve.
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Ifm AGD = 72°, then what is m DGB?
G/1
B
3/2
E
1
6
Answer for: m DGB
Answer:
Cheeeeseeeeii
Step-by-step explanation:
Cheeeeseee
Use the three trigonometric substitutions (if required) to evaluate integral 5-x / √16 + x² - dx. Use C for the constant of integration. Write the exact answer. Do not round. Answer
Therefore, x = 4tanθ dx = 4sec²θdθx = 4secθ. Therefore, dx = 4secθtanθ dθBy substituting the value of x, the given integral becomes5-4secθ / 4secθtanθ = 5/4secθ - 4secθsinθ/4tanθSimplify the above expression by writing it in terms of sinθ and cosθ5/4cosθ - cosθ/4C = 5/4sin⁻¹(x/4) + cosθ/4 + C
Explanation:Let 16 + x² = 4²sin²θ by using the first trigonometric substitution. Therefore, x = 4sinθ dx = 4cosθdθSolve for the integral and use 16 + x² = 4²tan²θ by using the second trigonometric substitution. Therefore, x = 4tanθ dx = 4sec²θdθSolve for the integral and use x = 4secθ by using the third trigonometric substitution. Therefore, dx = 4secθtanθ dθ.Use the three trigonometric substitutions to evaluate the integral 5-x / √16 + x² - dx.The three trigonometric substitutions that we used are as follows:16 + x² = 4²sin²θ. Therefore, x = 4sinθ dx = 4cosθdθ16 + x² = 4²tan²θ.
Therefore, x = 4tanθ dx = 4sec²θdθx = 4secθ. Therefore, dx = 4secθtanθ dθBy substituting the value of x, the given integral becomes5-4secθ / 4secθtanθ = 5/4secθ - 4secθsinθ/4tanθSimplify the above expression by writing it in terms of sinθ and cosθ5/4cosθ - cosθ/4C = 5/4sin⁻¹(x/4) + cosθ/4 + C
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