Using the Central Limit Theorem for proportions, the correct option is:
E. The statistic is biased.
What is Central Limit Theorem?
The central limit theorem in probability theory proves that, even if independent random variables are not normally distributed in themselves, in many cases, when they are added together, their properly normalised sum tends toward a normal distribution.
The central limit theorem states that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently large random samples from the population with replacement.
The Central Limit Theorem establishes that for a proportion p in a sample of size n:
- The expected value is[tex]$\mu=p$[/tex].
- The standard error is [tex]$s=\sqrt{\frac{p(1-p)}{n}}$[/tex]
In this problem, the expected value is different of the expected of [tex]$\mu=p$[/tex], hence, the statistic is biased, and the correct option is [tex]$\mathbf{E}$[/tex].
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Which function has a period of л?
A. y = cos x
B. y = csc x
C. y = cot x
D. y = sin x
PLEASE HELP ME WITH THIS QUESTION!!!
QUESTION ATTACHED BELLOW
THANKS IN ADVANCE!
Answer:
y ≥ 2x + 4
hope this may help!
Which of the following has a graph that is parallel to the graph of 2x-y=6 and passes through the point at (3, -2) ?
The function that has a graph that is parallel to the graph of 2x-y=6 is y = 2x - 8
How to determine the parallel line equation?From the question, we have the following parameters that can be used in our computation:
2x - y = 6
Subtract 2x from both sides of the equation
So, we have the following representation
-y = -2x + 6
Multiply both sides of the equation by -1
y = 2x - 6
Also, from the question;
We have the following points
The point is given as
Point = (3, -2) i.e. (x, y) = (3, -2)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 2
This means that the slope is 2
The slopes of parallel lines have the same values
This means that the slope of the other line is 2
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = 2
(x₁, y₁) = (3, -2)
So, we have
y = 2(x - 3) - 2
Open the brackets
y = 2x - 6 - 2
Evaluate the like terms
y = 2x - 8
Hence, the line has an equation of y = 2x - 8
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Step-by-step explanation:
function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____
function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose
the area of a square is 264cm². Find length & perimeter of square.
Answer:
Here,
Given:
Area of a square- 264 sq. cm
To find:
1. The length ( side)
2.Perimeter.
Solution :
Now,
Let the side of the square be x cm.
according to the formula for finding the area of a square:
Area= side× side
264= x× x
264= x^2
√264= x
16.2481= x
16.25= x
hence,
Length= side= 16.25 cm.
Now,
Perimeter of a square:
= 4× side
= 4× 16.25
= 65
Hence,
perimeter of the square= 65 cm
Step-by-step explanation:
I hope I helped you
suppose there are 10 research teams working independently from different data gathered in separate and independent random samples. each team performs an identical hypothesis test with 80% power to detect an alternative of interest with a certain effect size. in the case that this certain alternative of interest is true, what is the probability that at most 1 of the teams will make a type ii error?
The probability of at most one team making a Type II error is 0.3651.
1. The probability of a Type II error for a single team is 0.2 (since the power of the test is 0.8).
2. The probability of all 10 teams making a Type II error is 0.2^10. This is because the probability of each individual team making a Type II error is 0.2 and the probability of all 10 teams making a Type II error is the product of the individual probabilities (0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 = 0.2^10).
3. The probability of at least one team making a Type II error is 1 - 0.2^10. This is because the probability of at least one team making a Type II error is the complement of the probability of all 10 teams making a Type II error (1 - 0.2^10).
4. The probability of at most one team making a Type II error is 1 - (1 - 0.2^10). This is because the probability of at most one team making a Type II error is the complement of the probability of at least one team making a Type II error (1 - (1 - 0.2^10)).
5. The probability of at most one team making a Type II error is 0.3651.
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Which equation represents a linear function?
Answer: the first one
Step-by-step explanation:
...
An equation that goes through (-2,10) and (-10,6)
Answer:
y-10= 1/2(x-2) --- point slope form
Step-by-step explanation:
Point slope form is:
y- y1=m(x-x1)
y1= 10
m= y2-y1/x2-x1
y2= 6
x2= -10
x1= -2
Using point slope form and defining the variables using the given coordinates, the equation can be written.
Answer:
y-6 = -1/3(x-10)
Step-by-step explanation:
Let's use point slope form! The form of this is y-y1 = m(x-x1) where m is the slope.We have points to use, so let's find the slope.
The slope is rise over run, so we take the difference in y and divide it by the difference in x. This gives us [tex](10-6)/(-2-10)[/tex], which simplifies to -1/3. Now we plug in a point, say (-2, 10) for x1 and y1, and -1/3 for the slope, which gives us y-6 = -1/3(x-10)
ALTERNATE WAY:
Another way you could approach this is to plug in both the points to solve for m. Plug in both the y-values(10, 6) for y and y1 and both the x-values(-2, -10) for x and x1.
This gives us [tex]10-6 = m(-2-10)[/tex], which simplifies to [tex]4 = -12m[/tex]. Dividing both sides by -12 gives m = -1/3, which is the slope. Whichever way makes most sense works!
I hope this helps!
Need help with this
Answer:
11.8 m
Step-by-step explanation:
this makes up a right triangle so we can use the Pythagorean theorem
a^2+b^2=c^2
a- height/leg a
b- length/ leg b
c- hypotheneus
since we are tying to find b we can isolate b^2 on one side of the equation
a^2+b^2=c^2
-a^2. -a^2
b^2=c^2-a^2
And now we can plug in values
b^2=36^2-34^2
b^2=1296-1156
b^2=140
Square root both sides
b=11.8
Hopes this helps please mark brainliest
Find the missing length indicated.
Triangle 1's x value is 8 and LN's length is 14 units. Triangle 2's x value is 8 and IH's length is 11 units. Triangle 3's x value is 9 and CB's length is 23 units. Triangle 4's x value is 11 and its IH length is 11 units.
What is similar triangle?If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable (or proportion). Triangles that are similar will have the same shape but may not be the exact same size. According to the fundamental principles of triangles, two triangles are said to be congruent if their size and shape are the same, but two triangles are said to be similar if their shape is the same but their sizes differ. The proportions of similar triangles are the same.
Here,
Since these are similar triangle,
ME=EN
MN=ME+EN
MN=2ME
this will be same for all the triangles,
1. 2x-9/2x-2=1/2
2(2x-9)=2x-2
4x-18=2x-2
2x=16
x=8
LN=2x-2
LN=14 units
2. 2x-5/x+14=1/2
2(2x-5)=x+14
4x-10=x+14
3x=24
x=8
IH=2x-5
=11 units
3. (x+14)/(x+19)=1/2
2(x+14)=x+19
2x+28=x+19
x=9
CB=x+14
CB=23 units
4. 2x-11/x+11=1/2
2(2x-11)=x+11
4x-22=x+11
3x=33
x=11
IH=2x-11
IH=11 units
In triangle 1, The value of x is 8 and length of LN is 14 units. In triangle 2, The value of x is 8 and length of IH is 11 units. In triangle 3, The value of x is 9 and length of CB is 23 units. In triangle 4, The value of x is 11 and length of IH is 11 units.
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2y = x - 4 please help
Answer:
y=1/2x-2
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C. x² -8x +16 = 20
Step-by-step explanation:
You want the next step in completing the square after you get x² -8x = 4.
Completing the squareThe constant in a perfect square monic trinomial is the square of half the coefficient of the linear term.
The coefficient of x is -8. Half that is -4, and its square is (-4)² = 16. This will be the value added to the equation in the second step.
x² -8x +16 = 4 +16
x² -8x +16 = 20
__
Additional comment
A monic polynomial has a leading coefficient of 1. We generally work with monic quadratics when completing the square. We do this by factoring the leading coefficient out of the variable terms.
Write whether each is an expression, equation, or an inequality.
5. 3+5-7 = 1
6.3x-5t+4
7.9r+ 10_>14
8. 10+s≠4
11 of 1411 of 14 Items
Question
Brenda pours laundry detergent from a bottle into the cap and then into the washing machine.
Every time she fills the cap, the amount of detergent in the bottle changes by -0.26 L.
She fills the cap 314 times in all.
John has a different bottle of detergent that is the same size.
Every time he fills his cap, the amount of detergent in his bottle changes by -0.21 L.
He fills his cap 256 times in all.
Who has the greater total change in the amount of detergent in their bottle?
John has the greater total change in the amount of detergent in their bottle.
Given that, Brenda pours laundry detergent from a bottle into the cap and then into the washing machine.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Every time she fills the cap, the amount of detergent in the bottle changes by -0.26 L. She fills the cap 314 times in all.
Now, the volume of bottle =314×0.26
= 81.64
≈ 82 L
Every time he fills his cap, the amount of detergent in his bottle changes by -0.21 L. He fills his cap 256 times in all.
Here, the volume of bottle =256×0.21
= 53.76
≈ 54 L
Hence, John has the greater total change in the amount of detergent in their bottle.
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Write the equation of the line passing through the points (-3,3) and (3,1).
The equation of the line is?
Answer:
Step-by-step explanation:
Step 1 Find the slope
1-3/3-(-3)
-2/6=1/3
m=-1/3
Use the point slope formula
y-1=-1/3(x-3)
y=-1/3x+2
i need help with this asap!!! its due tonight!!!! HELPP!!!!
Answer: a
Step-by-step explanation:
Please help it about calculus
The limit of the function [[3 · cos (2 - 2x) - 3 · x] / (2 · x - 2)] when x tends to 1 is - 3 / 2.
How to find the limit of a function
In this problem we must determine the limit of a function, that is, the value to which the function goes when x tends to 1. This can be done by means of limit properties for polynomial and trigonometric limits.
First, write the limit:
[tex]\lim_{x \to 1}[/tex] [[3 · cos (2 - 2x) - 3 · x] / (2 · x - 2)]
Second, use limit properties and algebra properties:
[tex]\lim_{x \to 1}[/tex] [[3 · cos (2 - 2x) - 3 + 3 - 3 · x] / (2 · x - 2)]
[tex]\lim_{x \to 1}[/tex] [[3 · cos (2 - 2x) - 3] / (2 · x - 2)] + [tex]\lim_{x \to 1}[/tex] [(3 - 3 · x) / (2 · x - 2)]
(3 / 2) · [tex]\lim_{x \to 1}[/tex] [[1 - cos (1 - x)] / (1 - x)] + (3 / 2) · [tex]\lim_{x \to 1}[/tex] [(1 - x) / (x - 1)]
Third, use polynomial and trigonometric limits:
(3 / 2) · 0 + (3 / 2) · (- 1)
Fourth, simplify the result:
- 3 / 2
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A triangle has side lengths of 2 cm, 8 cm, and x cm. Which measure could be the value of x in centimeters?.
If the side lengths of triangle are 2 cm, 8 cm, and x cm then the measure of x can be 9 , the correct option is (b) .
In the question ,
it is given that ,
the side lengths of the triangle are 2 cm, 8 cm, and x cm .
we know that the sum of two sides of triangle is greater than the third side ,
So , x < 8 + 2 ,
x < 10 ,
and the difference of two sides of triangle is less than the third side ,
So , 8 - 2 < x
6 < x .
So , the side length x can be , 6 < x < 10 .
the options that suits the condition is (b) 9 .
Therefore , the correct option is (b) .
The given question is incomplete , the complete question is
A triangle has side lengths of 2 cm, 8 cm, and x cm. Which measure could be the value of x in centimeters?
(a) 6
(b) 9
(c) 10
(d) 12
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A gardener measures the dimensions of a rectangular garden that is 9 meters wide by 12 meters long.
Answer: If you are looking for Area, use the formula A=length x width
If you are looking for Perimeter, use the formula P= 2(length x width)
Step-by-step explanation:
So, the Area would be A=12x9 = 108 meters squared (you're multiplying 12 meters and 9 meters, which squares the unit)
and the Perimeter would be P= 2(12x9) = 216 meters
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23.4 is what percent of 288? Round to the nearest tenth..?
It should be noted that 23.4 is 8.1 percent of 288.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
23.4 is what percent of 288 will be calculated thus:
= 23.4 / 288 × 100
= 8.1%
The percentage is 8.1%.
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I am part of a hole I am twice the value of 1/8 I am percentage what am I
Answer: 25
Step-by-step explanation:
part of a low is anything lower than 1oo
twice of 1/8 = 2/8 = 1/4
Answer:
25%
Step-by-step explanation:
"twice" means two times.
"twice the value of 1/8" is
2 × 1/8
(to multiply a whole number times a fraction, multiply the big number × the top number)
2 × 1/ 8 is 2/8
2/8 is 1/4.
1/4 = .25 = 25%
Since the answer is a percent, change 1/4 to a decimal, .25, change the decimal to a percent.
Or you could change 1/4 to 25/100. Percent means "per hundred" 25/100 is 25%.
You work as a server at a restaurant.
You earn $200 in a week, plus an
average of 15% of your sales in tips.
How much food must you sell in
order to make at least $470 this week?
Answer:
It would have saved 445$
Explanation: because for 4 weeks he saved 35% of 200$ which would be 70 and 70+70+70+70 280$ and the he saved 175$ on the fifth week because 7/8 of 200 is 175 so 280+175 is 445
Step-by-step explanation:
I'm having trouble understanding, please help.
Answer:
2x+y=-4
Step-by-step explanation:
y-2=-2(x+3) is in point-slope form.
Ax+By=C is standard form.
We have to bring x and y to the same side of the equation.
First, let's distribute.
y-2=-2(x)-2(3)
y-2=-2x-6
Next, we will add 2 to both sides to get rid of the -2 on the left side of the equation.
y=-2x-6+2
Then, we will add 2x to both sides to get rid of the -2x on the right side of the equation.
2x+y=-6+2
Now x and y are on the same side of the equation. We just need to simplify the right side.
2x+y=-4
This is the answer in standard form.
Answer:
2x + y = -4
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a linear equation}\\\\$Ax+By=C$\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are constants. \\ \phantom{ww}$\bullet$ $A$ must be positive.\\\end{minipage}}[/tex]
Given equation:
[tex]y-2=-2(x+3)[/tex]
To write the given equation in standard form, collect the terms with variables on the one side of the equation (ensuring the term in x is positive), and collect the constants on the other side of the equation.
Distribute the right side of the equation:
[tex]\implies y-2=-2 \cdot x+(-2) \cdot 3[/tex]
[tex]\implies y-2=-2x-6[/tex]
Add 2x to both sides of the equation:
[tex]\implies y-2+2x=-2x-6+2x[/tex]
[tex]\implies y-2+2x=-6[/tex]
Add 2 to both sides of the equation:
[tex]\implies y-2+2x+2=-6+2[/tex]
[tex]\implies y+2x=-4[/tex]
Rearrange the left side to standard form:
[tex]\implies 2x+y=-4[/tex]
which inequality is graphed below?
Answer:x>1
Step-by-step explanation:
HELP PLEASE.
Explore sums of complex numbers by moving points A and B and noticing how the sum of those points written in the expression below corresponds to the sum shown geometrically. Drag the points, A and B, to produce a result of -3 + 4i
This is also written on the attached image
The two points A and B that will be added to produce the complex number -3 + 4i are; -1 + 2i and -2 + 2i.
How to solve Complex Numbers?A complex number is defined as one that has both a real and an imaginary component, whereby both of them are preceded by the letter i which denotes the square root of -1.
Complex numbers are written in the general form; x + iy
Where;
x is the real part.
iy is the imaginary part.
From the graph attached, we can deduce that the two points that were added to obtain the result of -3 + 4i are;
A = -1 + 2i
B = -2 + 2i
Now, let us confirm the sum of the two points A & B;
A + B
= -1 + 2i + -2 + 2i
⇒ -3 + 4i
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a rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 3 square feet. find the length of the rectangle.
The length of the rectangle is found as 7 feet.
Explain the properties of rectangle?It consists of four vertices and four sides. Every vertex has a 90 degree angle.A quadrilateral is a rectangle.The opposing sides are level and parallel to one another.90 degrees is the angle of each interior.360 degrees is the total of all interior angles.For the stated question;
Let the length and the width of the rectangle be 'L' and 'B'.
Then, width is given as;
W = L-2
Area = 35 square feet
A = LW = 35
Put the value of W
L(L-2) = 35
L² -2L - 35 = 0
L² -2L - 35 =0
(L-7)(L+5) = 0
L > 0 so, L=7 is solution
Thus, the length of the rectangle is found as 7 feet.
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The correct question is-
A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 35 square feet. find the length of the rectangle.
A special machine is used at a construction site to dig holes. A hole is dug to a depth of 4.75 feet when the machine hits rock. The progress slows to 3/5 feet per hour of digging. The depth of the hole must be at least 12 1/2 feet by the end of the day to stay on schedule.
What is the minimum amount of time the machine must continue at its present rate to complete the hole on schedule?
Select from the drop-down menus to correctly complete the statement.
The machine requires at least Choose... hours and Choose... minutes to complete the hole on schedule.
Chose #1: 18 28
Chose#2 9, 15, 45, 55
Answer:
The machine requires at least 9 hours and 45 minutes to complete the hole on schedule.
Step-by-step explanation:
To find this, you can use the formula provided in the previous response:
(required depth - current depth) / digging rate = hours of digging
Plugging in the values from the problem, you get:
(12.5 feet - 4.75 feet) / (3/5 feet per hour) = (7.75 feet) / (3/5 feet per hour)
This simplifies to:
(7.75 feet) / (3/5 feet per hour) = 15.5 hours
Then, to convert this number of hours to hours and minutes, you can divide by the number of minutes in an hour (60 minutes) and round up to the nearest whole number for the number of hours. The remainder will be the number of minutes:
15.5 hours / 60 minutes/hour = 0.258333... hours
Rounding up to the nearest whole number, you get:
0.258333... hours = 1 hour
The remainder is:
15.5 hours - 1 hour = 14.5 hours
14.5 hours / 60 minutes/hour = 0.241666... hours
Rounding up to the nearest whole number, you get:
0.241666... hours = 0 hours
The remainder is:
14.5 hours - 0 hours = 14.5 hours
14.5 hours / 60 minutes/hour = 0.241666... hours
Rounding up to the nearest whole number, you get:
0.241666... hours = 0 hours
The remainder is:
14.5 hours - 0 hours = 14.5 hours
14.5 hours * 60 minutes/hour = 870 minutes
Therefore, the machine requires at least 9 hours and 45 minutes to complete the hole on schedule.
help me quick please
Answer:
the percentage of change is 300%
Step-by-step explanation:
30 times 300% equals 90 more dollars which equals $120
Let f(x)=7x and g(x)=7x+2−4. Which transformations are needed to transform the graph of f(x) to the graph of g(x)? Select each correct answer.
Responses
horizontal translation 2 units left
vertical translation 2 units up
vertical translation 4 units down
horizontal translation 2 units right
horizontal translation 4 units left
vertical translation 4 units up
The required answer choice is vertical translation 2 units up and vertical translation 4 units down.
What is translation?
In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to be the same size as the original shape, and thus the shapes are congruent. They were simply shifted in one or more directions. There is no change in the shape because it is simply moved from one location to another.
The -2 indicates that you need to translate 2 units up, and the -4 indicates that you need to translate 4 units down.
As a result, the answer is vertical translation 2 units up and vertical translation 4 units down.
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what are two square roots of 121
Answer:
11
Step-by-step explanation:
11*11 = 121
What is the slope of line p?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Slope can be determined by using two points (x1, y1) and (x2, y2) and putting them in rise-over-run format (rise-over-run is equal to slope)
in this case we can use (3, 2) as (x1, y1) and (0, 0) as (x2, y2)
Rise-over-run format is: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
so substitute our number in and you get: [tex]\frac{2-0}{3-0}[/tex]
solve to get: [tex]\frac{2}{3}[/tex]
this is your slope