Answer:
40 unit^2.
Step-by-step explanation:
Area = 1/2 * base * altitude
= 1/2 * 8 * 10
= 40 unit^2.
An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated. (True or False)
The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.
Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.
In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.
This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.
However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.
As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.
As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.
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Does anyone know where the “i” came from
Answer:
i is √-1
Step-by-step explanation:
The definition of i is ...
i = √(-1)
__
The i shows up in the solution of 2x² +1 = 0.
\(2x^2=-1\\\\x^2=\dfrac{-1}{2}=\dfrac{-2}{4}\\\\x=\pm\dfrac{\sqrt{-2}}{\sqrt{4}}=\pm\dfrac{\sqrt{(-1)(2)}}{2}=\pm\dfrac{\sqrt{-1}\cdot\sqrt{2}}{2}\\\\\boxed{x=\pm\dfrac{i\sqrt{2}}{2}}\qquad\text{use $i$ for $\sqrt{-1}$}\)
simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3
Answer:
C. 6x+3
Step-by-step explanation:
Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.
3*2x is 6x.
3*1 is 3.
This results in 6x+3.
Step-by-step explanation:
C.6x+3 thats tge answer
Please help with the question in the picture
Using the knowledge of angle pairs that are formed by transversal and parallel lines: <1 and <3 are supplementary, so also are <2 and <4, because they are same-side interior angles.
What are Angle Pairs Formed by Parallel Lines and Transversal?One of the angle pairs that are formed by parallel lines and transversal is called the same-side interior angles, or consecutive angles. They lie on the same side of the transversal that intersects the two parallel lines.
Based on the same-side interior angles theorem, these consecutive angles are proven to be equal or supplementary to each other. That is, their angle measure will be equal to 180 degrees if added.
In the same vein, if we apply this to how the interior angles of a trapezoid relate, we can deduce the following:
Angle 1 and angle 3 are supplementary, and Angle 2 and angle 4 are supplementary because they are consecutive angles or same-side interior angles.
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Why are Fortune 500 companies engaging, in blogging? What sources capital for a project by raising many small amounts from a large number of individuals, typically via the Internet?
A popular way for people to share information and thoughts with others online is through blogging.
A blog is a conversation or informational website published on the World Wide Web that is composed of discrete, frequently informal diary-style text posts, according to the definition of a blog provided by Wikipedia.
This has given rise to a brand-new trend where everyone may now voice their opinions on a given subject.
Other phenomena and artefacts, such as analogue signals, poetry, photographs, music, or other sounds, as well as electrical currents, transmit information in a more continuous manner than do digital signals and other data, which employ discrete signs or algebras to do so.
Information itself is not knowledge, but how it is interpreted is crucial. Raw information can also take the shape of structured data. A collection of data may contain information that may be extracted through analysis by analysts who are experts in their field.
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wwiwwiwiwiwieqwertuttuyiueip
Answer:
Rfrrrrtrffdrs wweftuewsrtyttdt
A movie club surveyed 150 high school students. The students were asked how often they go to the movies and whether they prefer comedies or dramas. Their responses are summarized in the following table. Twice a month or less 48 Three times a month or more Comedy 24 Drama 57 21 (a) What percentage of the students prefer dramas? (b) What percentage of the students go to the movies twice a month or less?
Answer:a)
a) 68%
b) 44%
Step-by-step explanation: a) (51+51)/150 × 100 = 102/150 × 100
= 17/25 × 100
= 68%
solve this algebraic expression
\(16a {}^{4} - 4a {}^{2} - 4a - 1\)
Answer:
The factored form is,
\((4a^2+2a+1)(4a^2-2a-1)\)
Step-by-step explanation:
We have,
\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)
Using the difference of square formula,
\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)
Which is the factored form,
You need to buy 12 pounds of chicken for a barbecue that you are planning. You found an ad in the Northwest Florida Daily News that said that chicken is on sale at the Fresh Market in Destin for $2. 99 per pound. Typicallyyou buy your chicken at the Publix by your house for $8. 99 per pound. Is it worth the drive if I live in Destin?
It is worth the drive if I live in Destin. The cost of chicken per pound in Destin is less than at the Publix.
What is the meaning of per unit?
Per unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value. Quantities represented per unit are the same regardless of voltage level, which simplifies calculations.
The cost of per pound chicken in Destin is $2. 99.
You need to buy 12 pounds of chicken.
The cost of 12 pounds of chicken in Destin is $2. 99 × 12 = $35.88
The cost of per pound chicken in a nearby place of your house is $8.99.
The cost of 12 pounds of chicken is $8. 99 × 12 = $107.88
The difference between the cost is $(107.88 - 35.88) = $72.
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Find the GCF ( 50 points!)
Answer:
B
Step-by-step explanation:
Becaus it just is
Answer:yea he right...btw why u cheatin-..on a unit test
Step-by-step explanation:
The answer is B and C
what is the question???
Step-by-step explanation:
btw
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╬═╬ hi
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what equation can help you find out how many adults are there if tickets cost $9 for adults plus one child and $3 for children the total cost of the movie is $48
Answer:
48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child
question:
-2 3/4 ÷ 1/2 =
Answer:
Exact form: -11/2
Decimal: -5.5
Mixed number form: -5 1/2
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Please help! I need this to pass. If you are trying to get points please just chose a different question and don't mess with mine. I am in a state of trouble and I just need a helping hand.
The answer is 41
Step-by-step explanation:
To solve this we must use the formula a^2+b^2=c^2. if we substitute in the values we get 9^2+40^2=c^2. The first variable is 81, then the b variable is 1600. The hypotenuse is the c value. 81+1600 is 1681, now we must find the square root of 1681. The answer is 41. Tell me if I'm wrong :)
Which line from section 1 reveals Hawthorne's informal, fatherly tone for this story?
A. A boy used to be seen in the streets of Boston.
B. Ben was born in 1706; so that he was now about 10 years old.
C. His father, who had come over from england.
Answer if you're 100 percent sure, this is for a test.
Write in Slope Intercept form
Answer:
y=5/2x
Step-by-step explanation:
the y intercept is (0,0) so it isn't included in the equation. now we know the middle solution isn't correct. the points we use to find slope are (-2,-5) and (2,5) which ends up being 5/2.
Is 1.5 a solution to 2x- 19 = −4−8x?
Answer:
yes
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is
4x – 3y = -27. Fully simplify your answer
Answer:
m/slope=4/3
Step-by-step explanation:
4x-3y=-27
+3y +3y
4x=3y-27
+27 +27
4x+27=3y
/3 /3 /3
4/3x+9=y
y=mx+b
m=slope
y=4/3x+9
Answer:
- 3/4
Step-by-step explanation:
Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
Suppose when you study 4 hours for an exan, your mark is 80 percent. and if you study for an extra hour, your mark is 85 percernt. the marginal benefir from studying one more hour is:_________
The marginal benefit from studying one extra hour is 5 percent.
What is marginal benefit?The maximum sum of money a consumer will spend on an additional commodity or service is known as the marginal benefit. As spending rises, customer contentment tends to decline.Now,
Given:
Marks scored on studying 4 hours = 80 percentMarks scored on studying 1 hour extra = 85 percentTo find: Marginal benefit on studying one hour extra.
Finding:
Now, marks scored on studying 4 hours is 80 percent and 5 hours is 85 percent.
Thus, the extra percentage that is scored is because of the 1 hour of extra studying.
The extra percentage = marginal benefit of studying extra = 85 - 80 = 5 percent.
Hence, the marginal benefit from studying one extra hour is 5 percent.
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\(5 2/3 -10\)
which temperature is warmer -7 degrees celsius or -3 degrees celsius?
Answer: -3 degress celsius
Step-by-step explanation:
Answer:
-3 degrees celcius
Step-by-step explanation:
since its a neg number it needs to be closest to zero to be greater
but a general rule is that the farthest it is to the right on a number line, the greater it is and vise versa
Any number that is divisible by 3 is also divisible by 9 find a counter example to show the the conjecture is false
45
48
27
18
What is Divisibility? When we say a number is divisible by another number, we mean that if we divide a whole number by another whole number that the result will be a whole number. For example, 267 is divisible by 9, since 267÷9=29 267 ÷ 9 = 29.
First its 3's turn
45/3= 15
48/3= 16
27/3= 9
18/3= 6
Now its 9's turn45/9= 5
48/9= 5.33333333333
27/9= 3
18/9= 2
AnswerThe counter-example to show the conjecture wrong is 48
Blake was a little concerned as he stood in the middle of the overcrowded elevator. the sign clearly stated that the total weight in the elevator must be less than 1,800 pounds. write an inequality to show the weight limit for the elevator. w > 1,800 w < 1,800 w ≤ 1,800 w ≥ 1,800
The inequality to show the weight limit for the elevator is w < 1,800.
What is a inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal.
Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this situation, the sign clearly stated that the total weight in the elevator must be less than 1,800 pounds.
The inequality will be:
w < 1800 where w is the weight.
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PLEASE HELP ASAP
Jimmy McJimmerson rents a car. The rental fee is $54.99 per day plus a tax of 6% applied to this daily fee. A one time untaxed fee of $20 is charged for insurance. Which of the following represents Jimmy's cost for renting the car for x days?
A number, d, rounded to the nearest integer is 70. A Write down the error interval for d.
Answer: 65, 66, 67, 68, 69, 71, 72, 73, 74
Step-by-step explanation:
d can be 65, 66, 67, 68, 69. This is because any unit 5-9 can be rounded up. It cannot be any lower than 65 because it would round to 60. It can also be 71, 72, 73, 74 as they can be rounded to 70. If it was 75-79 then it would be 80
Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S10
Answer:
320
Step-by-step explanation:
The given series is an illustration of an arithmetic series, where the sum of first 10 terms of the series is -160.
Given
\(2 + (-2) + (-6) + (-10) +.......\)
First, we calculate the common difference of the series
\(d = T_2 - T_1\)
\(d = -2 -2\)
\(d = -4\)
The sum of the first nth term of an arithmetic series is:
\(S_n = \frac n2(2a + (n - 1)d)\)
Where:
\(n = 10\) ---- i.e. sum of 10 terms
\(a = 2\) --- the first term
\(d = -4\) --- the common difference
So, we have:
\(S_{10} = \frac{10}{2}(2 \times 2 + (10 - 1) \times -4)\)
\(S_{10} = 5(4 + 9 \times -4)\)
\(S_{10} = 5(-32)\)
\(S_{10} = -160\)
Hence, the sum of 10 terms of the series is -160.
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A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown.One of the guy-wires forms an angle of α=0.33 radians with the antenna and the opposing guy-wire forms an angle of β=0.43 radians with the antenna.What is the horizontal distance between anchor 1 and the base of the antenna? ____feet What is the horizontal distance between anchor 2 and the base of the antenna?_____ feet What is the distance between anchor 1 and anchor 2? ____feet
Let's label the diagram with the information provided. The diagram would look like:
What is the horizontal distance between anchor 1 and the base of the antenna?This is labeled as x.
With respect to angle alpha, the side x is opposite and the antenna is the side adjacent.
Thus, we need the trig ratio tan to solve for "x". Shown below:
\(\begin{gathered} \tan \alpha=\frac{x}{170} \\ \tan (0.33)=\frac{x}{170} \\ x=170\times\tan (0.33) \\ x=58.23 \end{gathered}\)Answer: 58.23 feet
What is the horizontal distance between anchor 2 and the base of the antenna?
This is labeled as y.
With respect to angle beta, the side y is opposite and the antenna is the side adjacent.
Thus, we need the trig ratio tan to solve for "y". Shown below:
\(\begin{gathered} \tan \beta=\frac{y}{170} \\ \tan (0.43)=\frac{y}{170} \\ y=170\times\tan (0.43) \\ y=77.97 \end{gathered}\)Answer: 77.97 feet
What is the distance between anchor 1 and anchor 2?
The distance between Anchor 1 and Anchor 2 is "x + y". We already found x and y. Let's do the sum:
\(\begin{gathered} x+y \\ =58.23+77.97 \\ =136.2 \end{gathered}\)Answer: 136.2 feet
. Equivalent Units Calculations—Weighted Average Method Terrace Corporation makes an indus- trial cleaner in two sequential departments, Compounding and Drying. All materials are added at the beginning of the process in the Compounding Department. Conversion costs are added evenly throughout each process. Terrace uses the weighted average method of process costing. In the Com- pounding Department, beginning work-in-process was 2,000 pounds (60% processed), 36,000 pounds were started, 34,000 pounds were transferred out, and ending work-in-process was 70% processed. Calculate equivalent units for the Compounding Department for August 2019.
The equivalent units for the Compounding Department for August 2019 is 57,000 pounds.
Here is the explanation -
To calculate the equivalent units for the Compounding Department in August 2019 using the weighted average method, we need to consider the units that were started and completed, as well as the ending work-in-process.
Step 1: Calculate the equivalent units for units started and completed:
- 36,000 pounds were started.
- 34,000 pounds were transferred out.
Equivalent units for units started and completed = 34,000 pounds.
Step 2: Calculate the equivalent units for ending work-in-process:
- Ending work-in-process was 70% processed.
- Beginning work-in-process was 2,000 pounds (60% processed).
Equivalent units for ending work-in-process = (70% x Ending work-in-process) + (60% x Beginning work-in-process)
Equivalent units for ending work-in-process = (70% x 2,000 pounds) + (60% x 36,000 pounds)
Equivalent units for ending work-in-process = 1,400 pounds + 21,600 pounds
Equivalent units for ending work-in-process = 23,000 pounds.
Step 3: Calculate the total equivalent units:
Total equivalent units = Equivalent units for units started and completed + Equivalent units for ending work-in-process
Total equivalent units = 34,000 pounds + 23,000 pounds
Total equivalent units = 57,000 pounds.
Therefore, the equivalent units for the Compounding Department for August 2019 is 57,000 pounds.
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What are the values of x and y?
image attached. Thank you!
Answer:
C
Step-by-step explanation:
We'll have to use trigonometry for this.
First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.
In order to find x, then, we must use sine, which is opposite/hypotenuse. So:
sin(A) = sin(60) = opposite/hypotenuse = x/18
sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:
[(√3)/2] * 18 = 9√3
Already, we can tell that the answer is likely C, but let's find y to make sure.
We will use cosine to find y because cos = adjacent/hypotenuse.
cos(A) = cos(60) = adjacent/hypotenuse = y/18
cos(60) = 0.5, so multiplying both sides by 18 gives:
0.5 * 18 = 9
So, y = 9.
Thus, C is our answer.
~ an aesthetics lover
Answer:
C
Step-by-step explanation:
Using the cosine/ sine ratio in the right triangle and the exact values
cos30° = \(\frac{\sqrt{3} }{2}\) and sin30° = \(\frac{1}{2}\) , then
cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{x}{18}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )
2x = 18\(\sqrt{3}\) ( divide both sides by 2 )
x = 9\(\sqrt{3}\)
----------------------------------------------------------
sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{y}{18}\) = \(\frac{1}{2}\) ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
Thus
x = 9\(\sqrt{3}\) and y = 9 → C