(a) Point Estimate: A point estimate is a single value that is used to estimate an unknown population parameter based on sample data. It provides an estimate or approximation of the true value of the parameter of interest. For example, the sample mean is often used as a point estimate for the population mean.
(b) Confidence Interval: A confidence interval is a range of values that is constructed using sample data and is likely to contain the true value of the population parameter with a certain level of confidence. It provides an estimate of the precision or uncertainty associated with the point estimate. The confidence interval is typically expressed as an interval estimate with an associated confidence level. For example, a 95% confidence interval for the population mean represents a range of values within which we are 95% confident that the true population mean lies.
(c) Level of Confidence: The level of confidence is the probability or percentage associated with a confidence interval that indicates the likelihood of the interval containing the true population parameter. It represents the degree of confidence we have in the estimation. Commonly used levels of confidence are 90%, 95%, and 99%. For example, a 95% confidence level implies that if we were to construct multiple confidence intervals using the same method, approximately 95% of those intervals would contain the true population parameter.
(d) Margin of Error: The margin of error is a measure of the uncertainty or variability associated with a point estimate or a confidence interval. It indicates the maximum amount by which the point estimate may deviate from the true population parameter. The margin of error is typically expressed as a range or interval around the point estimate. It depends on factors such as the sample size, variability of the data, and the chosen level of confidence. A smaller margin of error indicates a more precise estimate.
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Determine the range of the following graph: 12 11 10 8 5432 1 -12-11-10-9-8-7-6-5-4-3-2-1₁ - -5 -8 -9 -10 -12 1 2 3 4 5 6 7 8 9 10 11 12
The range of this graph (see attachment) include the following: {8, -6}.
How to identify the domain and range of a function?In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following:
Domain = -6 < x < 11 or [-6, 11].
Range = -6 < y < 8 or [-6, 8].
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On a necklace of 150 beads 75 beads are glass and 78 are ceramic what percent of beads are glass
Answer:
Doesn't make sense but with the information given. To find the percentage of glass beads on the necklace, you need to divide the number of glass beads by the total number of beads and multiply by 100.
You can use the formula:
percent = (number of glass beads / total number of beads) x 100
In this case:
percent = (75 / 150) x 100 = 0.5 x 100 = 50
So, 50% of the beads on the necklace are glass.
diagnosis codes are required to explain the ________ for the services provided.
Answer:
medical necessity
Solve using systems by substitution whats is y=x+8 and x+y=2
Answer:
Step-by-step explanation:
y = x + 8
x + y = 2
using substitution, since y is equal to x + 8 we substitute it for the y in x + y = 2
so we get: x + (x+8) =2
then we simplify, getting 2x + 8 = 2
We make the x on its own on one side of the equation by subtracting 8 on both sides.
2x = -6
divide
x = -3
y = 5
(if x = -3, y = 5 because -3 + 8 =5)
test answer
5 = -3 + 8 works and -3 + 5 = 2 works as well
Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?
The average pace of Malik is 0.182 mile per minute.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Distance Malik rode on a trail = 10 miles
Malik biked a new trail in a total of 57.5 minutes.
But he took 2.5 minutes as water break.
Total time Malik took to cover the distance = 57.5 minutes - 2.5 minutes
= 55 minutes
We have to calculate the average pace of Malik which is actually the speed.
Speed = Distance / Time
= 10 miles / 55 minutes
= 0.182 mile per minute
Hence Malik rides in an average pace of 0.182 mile per minute.
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the table below shows the number of cap and salmon in 3 different lakes. for each lake write the ratio of carp to salmon in the from 1:n. put the lakes in ascending order on the proportion of fish that sre salmon
carp | salmon
---------------------
lake a | 15 | 48
lake b| 35 | 7
lake c | 9 | 30
The ratio of carp to salmon for each lake is given as follows:
Lake a: 1 : 3.2.Lake b: 1 : 0.2.Lake c: 1: 3.33.
Then the ascending order on the proportion of fish that are salmon is given as follows:
Lake b, Lake c, Lake c.
How to obtain the ratios?The ratio of an amount A over an amount B is obtained applying the proportion of these amounts, that is, the division of A by B.
The ratios of carp to salmon, in the form 1:n, are obtained considering that n is the division of the number of salmon by the number of carp, hence:
Lake a: n = 48/15 = 3.2.Lake b: n = 7/35 = 0.2.Lake c: n = 30/9 = 3.33.The higher rates of salmon have the higher values of n, thus the ascending order of the proportion of fish that are salmon is given as follows:
Lake b, Lake c, Lake c.
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Rewrite the following equation in slope-intercept form. 14x − y = –15
y = 14x + 15 would be the slope-intercept form
Does scientific notation have to be greater than 1?
The mantissa of scientific notation is between 1 and 10 in absolute value, or 1 ≤ |a| < 10. It can be 1, hence, it does not have to be greater than 1.
A scientific notation has the form:
a x 10ᵇ
Where b is an integer and is called exponent.
a is a real number between 1 and 10 (in absolute value), it includes 1 but not 10, or we can write a should satisfy 1 ≤ |a| < 10.
Usually, a is called mantissa.
Example:
2567 can be written in scientific notation as:
2567 = 2.567 x 10³
0.0045 can be written in scientific notation as:
0.0045 = 4.5 x 10⁻³
250 x 10² can be written in scientific notation as:
250 x 10² = 2.5 x 10⁴
-0.032 can be written in scientific notation as:
-0.032 = -3.2 x 10⁻²
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ABC and XYZ are similar. Find the missing side length.
Hello there!
∆ABC and ∆XYZ are simular so:
[tex] \displaystyle \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} \\ \\ \frac{2}{10} = \frac{5}{25} = \frac{AC}{20} \\ \\ \frac{1}{5} = \frac{1}{5} = \frac{AC}{20} \\ \\ \frac{AC}{20} = \frac{1}{5} \\ \\ AC = \frac{20 \times 1}{5} = 4[/tex]
Answer: 4
Answer:
4
Step-by-step explanation:
We have to find length of AC in ΔABC
Since ΔABC is similar to ΔXYZ, the corresponding sides of ΔABC to the corresponding sides of ΔXYZ should be of similar ratio
Equivalently stated
[tex]\dfrac{AB}{XY} = \dfrac{BC}{YZ} = \dfrac{AC}{XZ}[/tex]
Plugging in known values we get
[tex]\dfrac{AB}{XY} = \dfrac{2}{10} = \dfrac{1}{5}\\\\\dfrac{BC}{YZ} = \dfrac{5}{25} = \dfrac{1}{5}\\[/tex]
Thus we see that the length of each side of ΔABC is one-fifth the length of each corresponding side of ΔXYZ.
So
[tex]AC =\dfrac{1}{5} XZ = \dfrac{1}{5} \cdot 20 = 4[/tex]
Help
Directions: Identify the binomial factors of the following trinomials.
1. x2 + 9x + 20
2. x2 + 7x + 12
3. x2 + 8x + 15
4. x2 + 7x + 12
5. x2 + 11x + 10
6. x2 + 7x + 6
7. x2 + 5x + 4
8. x2 + 10x + 21
9. x2 + 10x + 16
10. x2 + 10x + 9
11. x2 + 12x + 20
12. x2 + 15x + 14
13. x2 + 13x + 42
14. x2 + 9x + 18
15. x2 + 16x + 60
Answer:
1. x= -1 & x= -13
2. x= -3 & x= -4
3. x= -3 & x= -5
4. x= -6 & x= -2
5. x= -5 & x= -2
8. x= -7 & x= -3
9. x= -8 & x= -2
10. x= -3 & x= -3
11. x= -5 & x= -4
12. x= -2 & x= -2
13. x= -6 & x= -7
14. x= -6 & x= -3
15. x= -10 & x= -7
Step-by-step explanation:
hope this help :)
Which polynomial should be added in 3x³ 2x² +3 to get the polynomial 3x² +4?(1) 3x3 + 5x2 +1 (2) 3x2 – 5x +1 (3) - 3x3 + 5x2 +1 (4) - 3x3 - 5x2 + 1Answer with explanation
The polynomial 3x³ 2x² +3 can be written as 3x³ + 2x² + 3. In order to get the polynomial 3x² + 4, we need to add a polynomial which is equal to -3x³ + 5x² + 1.
Therefore, the correct answer is (3) - 3x3 + 5x2 +1.
We can confirm this by performing the following calculation:
3x³ + 2x² + 3 + (-3x³ + 5x² + 1) = 3x² + 4
3x³ + (-3x³) = 0
2x² + 5x² = 7x²
3 + 1 = 4
Therefore, 0 + 7x² + 4 = 3x² + 4, which confirms that the correct answer is 3x3 + 5x2 +1.
3x3 + 5x2 +1 is the polynomial should be added in 3x³ 2x² +3 to get the polynomial 3x² +4.
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Garrett went to Good Buys where all prices are discounted 15%. He buys a vintage Waring blender, after the 15% discount, for $42. What is the original price of the blender before the discount. Round your answer to the nearest hundredths.
The original price of the blender before the discount is $49.41.
How to calculate the original price of the blenderWe shall represent the original price of the blender with the letter x so that we use $x to evaluate for the original price before the discount price as follows:
x - 15x/100 = $42 {simply the left hand expression to a single fraction}
(100x - 15x)/100 = $42 {simply the terms in the bracket}
$85x/100 = $42
$85x = $4200 {cross multiplication}
$85x/$85 = $4200/$85 {divide through by $85}
x = $49.41
Therefore, the original price of the blender before the discount is $49.41
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Under a dilation centered at the origin, the point (-4,3) has image at (8, -6).
What is the scale factor of the dilation?
Answer:
The scale factor is 3. Step-by-step
Step-by-step explanation:
What is the area? 8 mi 6 mi
Is 512 a multiple of 8?
Yes, Number 512 represents it is a multiple of 8 is a true statement.
As given in the question,
Given number is equal to 8,
Given multiple is equal to 512 :
Multiple of any number is the representation of any number multiply by some integer.
When we multiply 8 by different integers we get its multiple as follow:
8, 16, 24, 32, 40, 48, 56, 64, 72,..... and so on.
When we multiply 64 by 8 we get 512.
Yes , the given statement is true.
Therefore, 512 represents a multiple of 8 which we get when we multiply 8 by 64 represents that the given statement is true.
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Can you explain this too me please?
The situation regarding the experimental probability is described as follows:
The probability that she makes a shot is of 62.5% = 5/8. Use whole numbers from 1 to 8, with 1-5 representing shots that she makes, and 6-8 representing the shots that she misses. For each trial, generate 10 random numbers. Count the number of trials in which the numbers 1 - 5 appears 3 or more times. Divide the number of trials in which she made at least 3 shots by the total number of trials.
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The theoretical probability of making a shot in this problem is given as follows:
62.5%.
The equivalent fraction is given as follows:
5/8.
Hence, to obtain the experimental probability, we need to design an experiment for which there are eight possibilites, with five of them composing a success and three of them composing a failure.
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Jesse bought 24 gallons of gas for $45.58. What was the price per gallon?
Answer:
$1.899
Step-by-step explanation:
Divide $45.58 by 24 for the unit price of each gallon
Answer: Approx. $1.899
Step-by-step explanation:
let the price per gallons be G
24G = 45.58
G = 45.58/24 = 1.899
Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning.
The line of the best fit of the scatter plot is line 2
How to determine the line of best fitFrom the question, we have the following parameters that can be used in our computation:
The graph
A good line of best fit would have equal number of points on either sides
On the graph, we can see that the lines 1 and 3 divide the points on the line unevenly
Where as, the line 2 divides the scatter points approximately evenly
Hence, the line of the best fit is line 2
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In the figure below, =m∠JKM 88°, =m∠NKM 26°, and KN bisects ∠LKM. Find m∠JKL.
The value of the missing angle m<JKL is; 46º
How to find the missing angles?Since we are told that the angle KN bisects ∠LKM then to get m<LKN, we just multiply 26° by 2 to get;
m<LKM = 26° * 2
= 52º
Now, since JKM is the total of all angle measurements, then we can say that;
88 - 52 = 36 degrees
Thus; m<JKL = 46º
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which of the representations define a function? SELECT TWO THAT APPLY. Explain why you chose those answers, I will mark you brainliest.
Paragraph prove statement
The paragraph proof is a proof written in the form of a paragraph. In other words, it is a logical argument written as a paragraph, giving evidence and details to arrive at a conclusion.
What is Paragraph prove statement?Paragraph proofs are comprehensive paragraphs that explain the process of each proof. Like two-column proofs, they have multiple steps and justifications. But instead of columns, the given information is formatted like a word problem — written out in long-hand format.
Since vertical angles are congruent, it is known that angle DCB is congruent to angle ACE. It can now be concluded that triangle DCB is congruent to triangle ACE according to the Side-Angle-Side (SAS) theorem.
There are two different types of proofs: informal and formal. Formal proof is often introduced using a two-column format, as favored by many geometry teachers.
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Complete question:
What is a Paragraph prove statement?
when f(x) = 6x² - 2x - 5, evaluate f(-2)
Answer:
23
Step-by-step explanation:
Given Information:
f(x) = 6x² - 2x - 5If we have to evaluate f(-2), we can consider that f(x) = f(-2) = 6x²- 2x - 5.
So, if f(x) = f(-2), then we have the following solution: x = -2.Now, we can substitute the solution into the quadratic equation and simplify it to its simplest possible form using the solution (x = -2).
⇒ f(-2) = 6x² - 2x - 5 ⇒ f(-2) = 6(-2)² - 2(-2) - 5 ⇒ f(-2) = 6(-2)(-2) - 2(-2) - 5 ⇒ f(-2) = 6(4) + 2(2) - 5 ⇒ f(-2) = 24 + 4 - 5 ⇒ f(-2) = 24 - 1 = 23Therefore, the evaluated form for f(-2) is 23.
What is five point six as a fraction?
Answer: 28/5
Step-by-step explanation:
5.6/1x10/10= 56/10
56/10=28/5
Jake has a shipping box with the following dimensions.
length: 12 inches
width: 4 inches
height: 8 inches
Havana has a shipping box similar to Jake's box, but each dimension is half as long.
How many times greater is the volume of Jake's box than Havana's box?
Jake's box is 8 times greater than Havana's box.
What is the volume of the cuboid?The volume of a cuboid is found by multiplying the length by the breadth by the height.
Given here: Two boxes Jake's and Havana's with Havana's box with dimensions half of Jake's
Therefore the ratio of the volume is = 12× 4 ×8 /6× 2× 4
=8
Hence, ake's box is 8 times greater than Havana's box.
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Please Help with these Questions
They are due tonight!
For 16-19, graph each equation or inequality.
16. 2y – 4x < 8
17. -4y > -x + 12
18. | x + 3 |= y
19. |2x – 6| + 2 = y
The graph for each equation and inequality is shown below.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
a) 2y – 4x < 8
The graph area is shaded with red region.
b) -4y > -x + 12
The graph area is shaded with blue region.
c) | x + 3 |= y
The graph has the vertex at (-3, 0).
d) |2x – 6| + 2 = y
The graph has the vertex at (3, 2).
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Please help! Trig!!!!!!!l. Look at the image! And answer the question! Thank u!
Answer:
IF tan(theta) = -8/7 = opposite side/adjacent side, then that means that sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526
Step-by-step explanation:
the tangents are negative in the quadrant II or IV
and sines are negative in the quadrant III or IV
so i think that this angle is in quadrant IV to satisfy for the of the both requirements.
but angle 0 seems to try and mean something other than 0 degrees or 0 radians. so It probably just means theta, which is a 0 probably with a line through it
IF tan(theta) = -8/7 = opposite side/adjacent side, then sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526
I hope this helps
please answer this fast i got 5 minuets
Help me with my homework pls
Hate to have to tell you this but we need to see the homework to be able to help
is 333 is in the sequence 2,5,8,11,14...why
Please help I need the answers ASAP!
Answer:
Refer to the step-by-step
Step-by-step explanation:
Since ∠1 and ∠2 are alternate exterior angles, m∠2=108°