a. AD is not necessarily equal to AB in a kite. b. DC is not necessarily equal to BC in a kite. c. angles ABC is not equal to abc.
In a kite, the adjacent sides AD and AB are not always equal in length. A kite is a quadrilateral with two pairs of adjacent sides that are congruent. The two pairs of adjacent sides have different lengths, with one pair being longer than the other. The longer pair of sides connects the two non-adjacent vertices, while the shorter pair connects the adjacent vertices.
b. DC is not necessarily equal to BC in a kite.
Similar to the previous explanation, the sides DC and BC of a kite are not always equal in length. The sides of a kite are divided into two pairs: the longer pair and the shorter pair. The longer pair connects the non-adjacent vertices, while the shorter pair connects the adjacent vertices. The lengths of the sides can vary, so DC and BC do not have to be equal.
c. ABC is not equal to abc.
In geometry, uppercase letters are typically used to represent vertices, while lowercase letters are used for angles. Therefore, ABC refers to the vertices of the kite, while abc represents the angles. The angles in a kite can have different measures, depending on the lengths of the sides and the specific shape of the kite. The angles ABC and abc can vary in size and are not necessarily equal.
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Which of the following is(are) point estimator(s)?
Question 8 options:
σ
μ
s
All of these answers are correct.
Question 9 (1 point)
How many different samples of size 3 (without replacement) can be taken from a finite population of size 10?
Question 9 options:
30
1,000
720
120
Question 10 (1 point)
In point estimation, data from the
Question 10 options:
population is used to estimate the population parameter
sample is used to estimate the population parameter
sample is used to estimate the sample statistic
None of the alternative ANSWERS is correct.
Question 11 (1 point)
As the sample size increases, the variability among the sample means
Question 11 options:
increases
decreases
remains the same
depends upon the specific population being sampled
Question 12 (1 point)
Random samples of size 81 are taken from a process (an infinite population) whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are
Question 12 options:
200 and 18
81 and 18
9 and 2
200 and 2
Question 13 (1 point)
For a population with an unknown distribution, the form of the sampling distribution of the sample mean is
Question 13 options:
approximately normal for all sample sizes
exactly normal for large sample sizes
exactly normal for all sample sizes
approximately normal for large sample sizes
Question 14 (1 point)
A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is
Question 14 options:
0.5228
0.9772
0.4772
0.0228
The correct answers are:
- Question 8: All of these answers are correct.
- Question 9: 720.
- Question 10: Sample is used to estimate the population parameter.
- Question 11: Decreases.
- Question 12: 200 and 2.
- Question 13: Approximately normal for large sample sizes.
- Question 14: 0.9772.
Question 8: The point estimators are μ (population mean) and s (sample standard deviation). The symbol σ represents the population standard deviation, not a point estimator. Therefore, the correct answer is "All of these answers are correct."
Question 9: To determine the number of different samples of size 3 (without replacement) from a population of size 10, we use the combination formula. The formula for combinations is nCr, where n is the population size and r is the sample size. In this case, n = 10 and r = 3. Plugging these values into the formula, we get:
10C3 = 10! / (3!(10-3)!) = 10! / (3!7!) = (10 x 9 x 8) / (3 x 2 x 1) = 720
Therefore, the answer is 720.
Question 10: In point estimation, the sample is used to estimate the population parameter. So, the correct answer is "sample is used to estimate the population parameter."
Question 11: As the sample size increases, the variability among the sample means decreases. This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means becomes more normal and less variable.
Question 12: The mean of the distribution of sample means is equal to the mean of the population, which is 200. The standard error of the distribution of sample means is equal to the standard deviation of the population divided by the square root of the sample size. So, the standard error is 18 / √81 = 2.
Question 13: For a population with an unknown distribution, the form of the sampling distribution of the sample mean is approximately normal for large sample sizes. This is known as the Central Limit Theorem, which states that regardless of the shape of the population distribution, the distribution of sample means tends to be approximately normal for large sample sizes.
Question 14: To find the probability that the mean from a sample of 49 observations will be larger than 82, we need to calculate the z-score and find the corresponding probability using the standard normal distribution table. The formula for the z-score is (sample mean - population mean) / (population standard deviation / √sample size).
The z-score is (82 - 80) / (7 / √49) = 2 / 1 = 2.
Looking up the z-score of 2 in the standard normal distribution table, we find that the corresponding probability is 0.9772. Therefore, the probability that the mean from the sample will be larger than 82 is 0.9772.
Overall, the correct answers are:
- Question 8: All of these answers are correct.
- Question 9: 720.
- Question 10: Sample is used to estimate the population parameter.
- Question 11: Decreases.
- Question 12: 200 and 2.
- Question 13: Approximately normal for large sample sizes.
- Question 14: 0.9772
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write a linear equation that passes through the point (2,-9) and has a slope of -5
Answer:
y = -5x + 1Step-by-step explanation:
Given:
The slope m = -5 and point (2, -9)Use point slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is the given pointSo the equation is:
y - (-9) = -5(x - 2)y + 9 = -5x + 10y = -5x + 1PLSS HELP ASAP!! What is the value of z in this triangle? Enter your answer in the box. z = A triangle with angles measuring 62 degrees and 95 degrees. The third angle has an unknown measure, z degrees.
Answer:
23
Step-by-step explanation:
so the sum of all side's of a triangle is 180
so if one angle is 62 n the other angle is 95 then to find the third angle you need to
\(62 + 95 + x = 180\)
\(157 + x = 180\)
\(x = 180 - 157\)
\(x = 23\)
hope it helps mate
have a nice day :?
Sam hiked 4.5 km along a straight bush track, and then turned 40° and walked a further 3.8 km in a straight line.
How far was he from his starting point?
Answer correct to 1 decimal place.
2 1/2 hours= how many minutes
Answer:
150 minutes
Step-by-step explanation:
2 hours
1 hour = 60 mins
60 + 60 = (120)
1/2 an hour = 30 mins
120 + 30 = 150
Is the decimal form of 25/9 a rational number?
Answer:
No
Step-by-step explanation:
It comes out to 2 7/9 which comes to have a repeating number. But A line above the repeating number to symbolize it - well - repeating.
alex and felicia each have cats as pets. alex buys cat food in cylindrical cans that are cm in diameter and cm high. felicia buys cat food in cylindrical cans that are cm in diameter and cm high. what is the ratio of the volume of one of alex's cans to the volume one of felicia's cans?
The ratio of the volume of one of alex's cans to the volume one of felicia's cans is 1:2.
The cylinder three-dimensional shape consists of two parallel circular bases connected by a curved surface.
We have to find the ratio of the volumes of the can, which are in cylinder shape.
We will find the volume first.
Diameter is given, we divide by 2 to get the radius. h is height and is radius in the formula.
Volume=πr^2h
Volume of alex can V1= π*(6/2)^2*12
=π*3^2*12
=π*9*12
=108π
Volume of felicia can V2= π*(12/2)^2*12
=π*6^2*6
=π*36*6
=216π
V1:V2= 108π:216π
=1:2
The ratio of volumes are 1:2.
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Complete question
Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are 6 cm in diameter and 12 cm high. Felicia buys cat food in cylindrical cans that are 12 cm in diameter and 6 cm high. What is the ratio of the volume one of Alex's cans to the volume one of Felicia's cans?
M is the midpoint of AB
Answer:
Midpoint=(−12,−2)
As a decimal:
Midpoint=(−0.5,−2)
Step-by-step explanation:
M=(xM,yM)
M=(x1+x22,y1+y22)
M=(3+−42,3+−72)
M=(−12,−42)
M=(−12,−2)
As a decimal:
M=(−0.5,−2)
Distance Solution: Between Endpoints
d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
d=(−4−3)2+(−7−3)2−−−−−−−−−−−−−−−−−−√
d=(−7)2+(−10)2−−−−−−−−−−−−√
d=49+100−−−−−−−√
d=149−−−√
d=12.206556
Which equation could be used to solve for a value, x, that is equal to 5 times the sum of x and 12?
x = 5x = 12
5x = x + 12
x = 5(x + 12)
x = x + (5)(12)
Factorisation x^2+6x+9
\((\)
Answer:
Factored form is \((x+3)^{2}\)
Step-by-step explanation:
We have
\(x^{2} +6x+9=x^{2} +2\times3x+3^{2} \\\\=(x+3)^{2}\)
Chris is tiling the bathroom floor. For a tile to fit in the corner of the room, he must cut it as shown below.
If x = 3, y = 12, and z = 9, what is the area of the tile being used?
A.
54 sq ft
B.
108 sq ft
C.
58.5 sq ft
D.
81 sq ft
Answer:
D. 81 sq. ft.
Step-by-step explanation:
We know x, y, and z's lengths. Those are 3, 12, and 9 respectively.
I first imagined a 12 by 9 rectangle and then figured about the area of the shaded part.
The 12 by 9 rectangle is 108 sq ft, But there is a empty part on the top left. That would be a 9 ft by 6 ft triangle.
The area of a triangle can be figured out with this formula: A = bh/2 Substitute b and h for 9 and 6 respectively.
A = (9 * 6)/2
A = 54/2
A = 27 sq. ft.
Now, subtract 27 from 108 to get the area of the shaded part.
108 - 27
81 sq. ft.
The area of the tile being used is 81 sq. ft.
Estimate and then compute the product check that your answer is reasonable
759 x 68
The estimate of the product is reasonable
How to estimate and then compute the product check that your answer is reasonable?The product expression is given as
759 x 68
As an estimate, we have
759 - 760
68 = 70
So, we have:
759 x 68 = 760 * 70
Evaluate the product
759 x 68 = 53200
For the actual product, we have
759 x 68 = 51612
The estimate and the actual product both approximate to 50000
Hence, the estimate of the product is reasonable
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Which of the following is the independent variable of F(G(x))?
O A. V
• B. x
• C. F(x)
• D. F(G(x))
Answer:
D
Step-by-step explanation:
If x = 2, y = 3 and z = 5, calculate the following: 2yz ÷ 3
Step-by-step explanation:
2x 3x5 = 30 ÷ 3 = 10
hope this helps
*
4. What is the value of x? (1 point)
O24
09
021
014
5-what is the measure of <1
45°
60°
120°
125°
Answer:
∠ 1 = 120°
Step-by-step explanation:
5x + 15 and 3x - 3 are same- side interior angles and sum to 180° , then
5x + 15 + 3x - 3 = 180 , that is
8x + 12 = 180 ( subtract 12 from both sides )
8x = 168 ( divide both sides by 8 )
x = 21
Then
5x + 15 = 5(21) + 15 = 105 + 15 = 120
∠ 1 and 5x + 15 are corresponding angles and are congruent , so
∠ 1 = 120°
Simplify 4.51^0 - which is it?
4.51 ?
1 ?
0 ?
-1 ?
Answer:
\(1\)
Step-by-step explanation:
\({(4.51) }^{0} = 1\)
hope this helps you.
HURYY THIS IS WORTH ALOT I’ll make brainlist
Answer:
B.4
Step-by-step explanation:
NASAGUTAN KO YAN TAMA AKO
solve the following inequality
Answer:
it's a just to let you know
Answer:
D. -3 < x < 2
Step-by-step explanation:
Equation: -8 < 3x + 1 < 7
First subtract the one with -8 and 7: (-8 - 1) < 3x + (1 - 1) < (7 - 1) = -9 < 3x < 6
Divide 3x with -9 and 6 : (-9)/3 < (3x / 3) < (6 / 3) = -3 < x <2
The final product is -3 < x <2
PLEASE HELP ASAP!!!!
Use the graph of ƒ to find x if ƒ(x) = 2.
x = –0.5
x = –8
(–∞, –0.5)
x = 0.5
Answer:
\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)
I need help finding the slope and what m =
Answer:
4/3
Step-by-step explanation:
slope = rise/run = (y1-y2)/(x1-x2) = 4 / 3
any one single and i need help 50 times 6 dived by 30
Answer:
ahah yea and its 10 by the way
Answer:
heyyyyy :) its 10
Step-by-step explanation:
Multiply and Simplify 3i(4-3i)-i(2+1)
Answer:
17+6i
-----------
25
Step-by-step explanation:
2+3i
---------
4+3i
We want to multiply by the complex conjugate of the denominator
4+3i has a complex conjugate of 4-3i
2+3i 4-3i
--------- * --------------
4+3i 4-3i
Lets multiply the numerator
(2+3i) ( 4-3i)
2*4 +4*3i -3i*2 - 3i*3i =
8 +12i -6i - 9i^2
Remember i^2 = -1
8 +6i -9(-1)
17 +6i
Lets multiply the denominator
(4+3i) ( 4-3i)
4*4 +4*3i -3i*4 - 3i*3i =
16 +12i -12i - 9i^2
Remember i^2 = -1
16 -9(-1)
25
Putting numerator over denominator
17+6i
-----------
25
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
i is called the imaginary number.
i = √-1
The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3i (4 - 3i) - i(2 + 1)
i is called the imaginary number.
i = √-1
Remove the parenthesis.
3i x 4 - 3i x 3i - i x 2 - i x 1
12i - 9i² - 2i - i
[ i² = -1 ]
12i + 9 - 2i - i
Add like terms
12i + 9 - 3i
9i + 9
Thus,
The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.
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Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answer:
The equation of Nolan's line is \(y=2x+3\)
Step-by-step explanation:
The slope-intercept form of a line is given by:
\(y=mx+b\)
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
\(y = 2x+3\)
Hence,
The equation of Nolan's line is \(y=2x+3\)
Answer:
The answer is y 2x + 3.
Step by step:
Because i know
The rule at Anna's house is that if she eats all of her vegetables and does all of her chores each day, she earns 2 hours of internet time which she can save. Anna started her week with 3 hours saved. If she eats all of her vegetables and does all of her chores each day for 4 days straight, how many hours does she have after the 4 days if she uses 6 hours of her internet time?
Answer:
She has 6 hours left.
Step-by-step explanation:
She started with 3 hours saved and got 2 more hours for each day that she did her chores and ate her vegetables. Since she did her chores and ate her vegetables 4 days that means that in total she gained 8 hours (4 * 2) plus the ones she already had saved. So 8 + 3 = 12 - 6 = 6
Please give brainliest
Here is a rectangle with length 5 units and width 2 units.
1. What is the area of the rectangle?
2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.
3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.
This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Solving for the area and scale factor we have:
L= 5 units
W = 2 units
The area of the rectangle =L * WA = (5 x 2)
A = 10 square units.
If the rectangle is dilated from point A by a scale factor of 2, the area of the image:A= (Scale factor of L * W)* L * W
= (2 x 2 x 5 x 2)
A = 40 square units.
If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:A= (Scale factor of L * W)* L * W
= (3 x 3 x 5 x 2)
A= 90 square units
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A pencil company packs pencils in boxes of 8. How many boxes can they pack with 32,000 pencils? *
A 40,000
B 4,000
C 400
D 40
Answer:
B: 4,000
Step-by-step explanation:
32000/8=4000
Answer:
4000
Step-by-step explanation:
32000/8............
which graph best represents a logarithmic function
Complete the square to solve 4x2 + 24x = 4.
Answer:
x = - 3 ± \(\sqrt{10}\)
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ± \(\sqrt{10}\) ( subtract 3 from both sides )
x = - 3 ± \(\sqrt{10}\)
Answer:
X=1/8
Step-by-step explanation:
Calculate the product 4x×2 + 24x = 4
Collect like terms 8x + 24x = 4
Divide both sides of the equation by "32" 32x = 4
Solution x = 1/8
what is 2 1/4 - 5 2/3
Answer:
-41/12 or -3 5/12
Step-by-step explanation:
4*2 +1 = 9, 5 * 3 + 2 = 17
9/4 - 17/3
27/12 - 68/12
= -41/12 or -3 5/12
Suppose that the function g is defined, for all real numbers, as follows. g(x)={
{ -1/4 x^2 + 4 if x =−2
{-4 if x=−2
Find g(−4),g(−2), and g(0).
The values of g(-4), g(-2), and g(3) are -5, undefined, and -11, respectively. The function g is defined differently for x = -2 and other real numbers, resulting in different output values.
Given the function g(x) = {(-4/1)(x-2) - (1/1)(x+2), if x ≠ -2; undefined, if x = -2}, we can evaluate g(-4), g(-2), and g(3) as follows:
1. g(-4):
Since -4 ≠ -2, we use the first part of the definition of g(x). Plugging in x = -4, we have:
g(-4) = (-4/1)(-4-2) - (1/1)(-4+2)
= (-4/1)(-6) - (1/1)(-2)
= 24 + 2
= 26
Therefore, g(-4) = 26.
2. g(-2):
Since x = -2 matches the condition in the second part of the definition of g(x), g(-2) is undefined.
3. g(3):
Since 3 ≠ -2, we use the first part of the definition of g(x). Plugging in x = 3, we have:
g(3) = (-4/1)(3-2) - (1/1)(3+2)
= (-4/1)(1) - (1/1)(5)
= -4 - 5
= -9
Therefore, g(3) = -9.
In summary, g(-4) = 26, g(-2) is undefined, and g(3) = -9. The function g(x) has different output values depending on whether x is equal to -2 or not.
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