The option that is correct about the central limit theorem is D (II only).
What is the Central Limit theorem?According to the central limit theorem, if you have a population with a mean and standard deviation and take sufficiently large random samples from it with replacement, the distribution of the sample means will be nearly normally distributed.
As we know about the central limit theorem, the distribution of the sample means is approximately normal. Therefore, the option that is correct about the central limit theorem is D (II only).
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Math question please help
FALSE
The distributive property comes in handy when we see an expression such as the following: 5(x + 3). This is because the 5 needs to be distributed to both the x and the 3.
For the given expression, combining like terms would be the next step because 2y and 6y can be added together.
Hope this helps!
Given: a→ = (5,-4) and b→ = (2,3) Find 3a→ - b→
A. (3,- 7)
B. (13,- 15)
C. (13,- 1)
D. (15, 4)
[tex]< 5,-4 > - < 2,3 > \implies < 5-2~~,~~-4-3 > \implies < 3~~,~~-7 >[/tex]
A square piece of confetti has sides that are 20 millimeters long. What is the piece of confetti’s area
Square has 4 sides
20 mill for each side
we mutiply all four corners
=80 mill
can someone please help me answer this question??? help me please due in 15 min!!!
Answer:
c. 69
Step-by-step explanation:
50 points!! help asap pls
Write the equation of a circle with a radius of length 10 and a center at (-4, -9).
Answer choices in attached image
Answer:
(x+4)² + (y+9)² = 100
Step-by-step explanation:
We want to find the equation of a circle with a radius of length 10 and a center at (-4, -9).
general equation of circle : (x-h)² + (y-k)² = r²
where (h,k) is at center and r = radius
the center is at (-4,-9) so h = -4 and k = -9 and the circle has a radius of 10 so r = 10
so we have (x-h)² + (y-k)² = r²
h = -4 , k = -9 and r = 10
(x-(-4))² + (y-(-9))² = 10²
==> apply double negative sign rule and remove parenthesis for -(-4) and -(-9)
(x+4)² + (y+9)² = 10²
==> simplify exponent
(x+4)² + (y+9)² = 100
and we are done!
Answer:
Option D
Step-by-step explanation:
Given:
Radius = 10 unitsCenter point = (h, k) = (-4, -9)∴ x coordinate of center point: (h, k) ⇒ (-4, -9)
∴ y coordinate of center point: (h, k) ⇒ (-4, -9)
Equation of circle formula:
⇒ (x - h)² + (y - k)² = r²Substitute the radius in the formula;
⇒ (x - h)² + (y - k)² = r²⇒ (x - h)² + (y - k)² = (10)²Substitute the x and y coordinate in the formula;
⇒ [x - (-4)]² + [y - (-9)]² = (10)² [x coordinate (h): -4; y coordinate (k): -9]⇒ [x + 4]² + [y + 9]² = 100 (Option D)Therefore, Option D is correct.
Determine the value of c such that f(x,y) = c(x 2y), x = 1, 2
The value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3 because the sum of the probability is always 1
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x, y) = c(x+2y),
x = 1, 2 and y =1, 2, 3
f(1, 1) = C(1 + 2) = 3C
f(1, 2) = C(1 + 4) = 5C
f(1, 3) = C(1 + 6) = 7C
f(2, 1) = C(2 + 2) = 4C
f(2, 2) = C(2+ 4) = 6C
f(2, 3) = C(2 + 6) = 8C
We know the sum of the all probability is 1
3C+5C+7C+4C+6C+8C=1
33C =1
C = 0.03030
Thus, the value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3 because the sum of the probability is always 1
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Help plssssss
(look at bottom for image
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark. For the bottom line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark.
Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
Group A, because three children in the group have the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches
Group A, because two children have a forearm length longer than 10 inches
Group B, because seven children have a forearm length longer than 10 inches
Answer:
Option 4
Step-by-step explanation:
Group B, because seven children have a forearm length longer than 10 inches.
Additional verification :
Finding average forearm length of Group A :
9(3) + 10(5) + 11(2) / 1027 + 50 + 22 / 1099/109.9Finding average forearm length of Group B :
10(3) + 11(4) + 12(3) / 1030 + 44 + 36 / 10100/1010Group B clearly has the longer forearm length.
The probability that a light bulb will have failed after 1000 hours of use is
0.07.
What is the probability that it will still be working after 1000 hours of use?
Give your answer as a decimal.
Answer:
.093
Step-by-step explanation:
do
1.00-0.07
the probability that the light bulb will still be working after 1000 hours of use is 0.93 (or 93%).
To find the probability that the light bulb will still be working after 1000 hours of use, we can use the fact that the sum of the probabilities of all possible outcomes must be equal to 1.
Given that the probability of the light bulb failing after 1000 hours of use is 0.07, the probability of it still working after 1000 hours is:
Probability of the light bulb working after 1000 hours = 1 - Probability of the light bulb failing after 1000 hours
Probability of the light bulb working after 1000 hours = 1 - 0.07
Probability of the light bulb working after 1000 hours = 0.93
So, the probability that the light bulb will still be working after 1000 hours of use is 0.93 (or 93%).
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Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3
Answer:
C
Step-by-step explanation:
the area (A) of the hexagon can be calculated as
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
p = 6 × 10 = 60 and a = 5[tex]\sqrt{3}[/tex] , then
A = [tex]\frac{1}{2}[/tex] × 60 × 5[tex]\sqrt{3}[/tex]
= 30 × 5[tex]\sqrt{3}[/tex]
= 150[tex]\sqrt{3}[/tex]
≈ 259.8 cm² ( to the nearest tenth )
Please help! It’s 3am for me and I need to get this done.
Which of the following increases at the fastest rate for larger values of x?
Answer:
8^x +3
Step-by-step explanation:
Always take index for fasting growth rate
Can you help me solve this pls!
Answer:
Here is the ans ...hope it helps:)
How me solve this please
Answer:
A
Step-by-step explanation:
100/25 = 4
but we have 5 students absent so 25-5=20
100/20 = 5
so A
Which polynomial is a difference of two squares? O x² – 16 O x² +16 O x² – 8 O x² + 8
Answer:
x²-16
Step-by-step explanation:
x²-16 =0
Add 16 to both sides
x²-16 + 16 = 0 + 16
Simplify
x²= 16
For x²=(fa) the solutions are x = √(fa), -√(fa)
X=√16 ,X= -√16
√16=4
-√16 = -4
x=4, x= -4
In the arthmetic sequence {-9, -4, 1, 6, 11,…}, what is the common difference ?
Explanation:
Pick any term and subtract off the previous one to get the common difference.
For instance, let's say we picked 11
11-6 = 5
Or we could pick 6
6-1 = 5
Each time we get 5 as the common difference. It says that to get each next term, we add on 5.
please help me solve it.
[tex]\dfrac{n^6}{(n^2)^5}\\\\\\=\dfrac{n^6}{n^{2 \times 5}}\\\\\\=\dfrac{n^6}{n^{10}}\\\\\\=n^{6-10}\\\\\\=n^{-4}[/tex]
The quotient of (x4 5x3 – 3x – 15) and (x3 – 3) is a polynomial. what is the quotient? x7 5x6 – 6x4 – 30x3 9x 45 x – 5 x 5 x7 5x6 6x4 30x3 9x 45
The quotient of (x⁴ + 5x³ – 3x – 15) and (x³ – 3) is a polynomial f(x) = x⁷ + 5x⁶ - 6x⁴ - 30x³ + 9x + 45
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The quotient of (x⁴ + 5x³ – 3x – 15) and (x³ – 3) is a polynomial. Let f(x) represent the polynomial, hence:
f(x) = (x⁴ + 5x³ – 3x – 15)(x³ – 3)
f(x) = x⁷ + 5x⁶ - 3x⁴ - 15x³ - 3x⁴ - 15x³ + 9x + 45
f(x) = x⁷ + 5x⁶ - 6x⁴ - 30x³ + 9x + 45
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
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Answer:
C x+5
Step-by-step explanation:
used m a t h w a y to check and the answer above is wrong, i got it wrong on edge 2022 (also i had to spread the letters out for m a t h w a y) bc otherwise it won't let me post it. Another thing you can use is symbolab, slader, chegg, etc.
A teacher wants to know if burning a scented candle affects students’ performance on pop quizzes. In the experiment, there will be a treatment group and a control group each taking their quizzes in a room that either does or does not have a scented candle burning.
Why is randomization important when setting up an experiment to answer this research question?
to ensure that both groups have a nice mix of students
to ensure that the two groups have the same number of students
to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills
to ensure that the rooms for both groups are approximately the same regarding time of day, temperature, sound control, and lighting
Randomization is important to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills.
What is randomization in an experiment?Randomization is when subjects in an experiment are placed in either the control group or the treatment group without any structure. They are placed in either groups randomly. The purpose of randomization is to ensure that subjects in either group are homogenous.
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The low temperatures last week, in degrees Fahrenheit, were 30, 35, 40, 41, 42, 45, and 47.
What is the average of the low temperatures?
40
Step-by-step explanation:The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.
How to Calculate the Average
The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.
Finding the Average
Now, let's find the average of this specific data set. First, add all of the data together.
30+35+40+41+42+45+47 = 280Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.
280/7 = 40This means that the average of the set is 40.
Other Measurements of Center
The mean is not the only measurement of center. There are 3 common measures of center.
The mean is found by adding all the terms and then dividing by the number of terms. Another measurement is the median is found by ordering the terms from least to greatest, and then taking whatever number is left in the middle. The median of this set is 41.Finally, the mode is the term that appears the most often. Many times there can be more than one mode. This set has no real mode because all of the terms only appear once.The table shows numbers of words typed by 3 students in 1 minute.
student | number of words
Molly | 34
Joseph |. 37
diana. |. 32
Based on data, select the estimate that could represent the number of words typed by the students in 7 minutes
A. 102 by Molly, 111 by joseph, 96 by diana
B. 214 molly, 226 joseph, 262 diana
C. 235 Molly, 259 joseph, 224 diana
D. 258 molly 223 joseph 237 diana
molly 258 joseph 259 Diana 262
Step-by-step explanation: oh and this reminds me of Dora
beans rice Jesus christ and Biran
no links, will be reported
Answer:
(1,0)
Step-by-step explanation:
This is because a system of equations is when two lines cross to form a point that they share. (1,0) is the point where the two lines cross/intersect.
Answer:
(1,0)
Step-by-step explanation:
The answer is where the ines intersect to form a point.
Question
Find the whole
140% of what number is 35?
The 140% of the number 25 will be equal to 35. We will calculate it by the concept of percentage.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Here we need to find out 140% of what number is 35
Suppose that number is x so the equation will be
[tex]140\%\times x=35\\\\\\\dfrac{140}{100}\times x=35\\\\\\x=\dfrac{35\times 100}{140}\\\\\\x=25[/tex]
Hence % of the number 25 will be equal to 35. We will calculate it by the concept of percentage.
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What is the simplest form of x^2+5X-36/x^2-16
X+9/X+4
9/4
X+9/X-4
-9/4
Answer:
[tex] \frac{ {x} + 9}{x - 4} [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{2} + 5x - 36}{ {x}^{2} - 16} \\ \\ = \frac{ {x}^{2} + 9x - 4x- 36}{ {x}^{2} - {(4)}^{2} } \\ \\ = \frac{ x({x} + 9) - 4(x + 9)}{ (x + 4)(x - 4) } \\ \\ = \frac{ ({x} + 9) \cancel{(x - 4)}}{ \cancel{(x + 4)}(x - 4) } \\ \\ = \frac{ {x} + 9}{x - 4} [/tex]
The function f(w)=10+13w represents the amount of money in a child's bank account w weeks after the child started saving their allowance. What does the value 10 represent in this situation?
Answer: The value 10 represents the child's initial value before the weeks started.
Step-by-step explanation: The equation is f(w) = mx + b, where b is the inital value. 10 is the b value.
Can someone please answer this, ill give you brainliest Would be very appreciated.
Equation:
j(x) = -3x² - 5
Which part of the equation tell us that the graph opens downward?
Solution:Here see that the leading coefficient of x² which is (-3) is less than 0, meaning negative. a < 0 Hence, the graph will open from downwards.
Answer:
The coefficient of x²
Step-by-step explanation:
The part of the function j(x) which shows the graph opens downward is the coefficient of x². Depending on whether the value is positive or negative, we will understand if it opens upward or downward.
A sound wave is modeled with the equation y = 1 4 cos 2 π 3 θ . a. Find the period. Explain your method. b. Find the amplitude. Explain your method
If the frequency of the sound wave is 2π/3, then the time period of the sound wave will be 0.447 seconds. Then the amplitude is 14.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
A sound wave is modeled with the equation y = 14 cos (2π/3) θ.
The frequency of the sound wave will be
[tex]f = \dfrac{2\pi}{3}[/tex]
Then the time period will be
[tex]T = \dfrac{1}{f}\\\\T = \dfrac{1}{2\pi /3}\\\\T = \dfrac{3}{2\pi}\\\\T = 0.477 \ \rm seconds[/tex]
Then the amplitude of the sound wave will be
A = 14
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A jiffy is a measure of time. There are 100 jiffies in 1 second. How many seconds are there in 60 jiffies?
Answer:
.6
Step-by-step explanation:
60/100 = .6
60 jiffies is 60% of 1 second
Answer:
0.6 seconds in 60 jiffies.
Step-by-step explanation:
If there are one hundred jiffies in a second, then all we need to do is multiply one second by 0.60, since one jiffy is one 100th of a second. And well, since one times anything is that number, well, our answer is 0.6
60=-5(x-6)
Please answer this with how you got the answer.
Answer:
x = -6
Step-by-step explanation:
» Solution
Step 1: Distribute -5 to the terms inside the parantheses.
[tex](-5)(x)+(-5)(-6)=60[/tex] [tex]-5x+30=60[/tex]Step 2: Subtract 30 from both sides.
[tex]-5x+30-30=60-30[/tex] [tex]-5x=30[/tex]Step 3: Divide both sides by -5.
[tex]-5x/-5=30/-5[/tex] [tex]x=-6[/tex]Therefore, x = -6.
A ladder leans against the side of a house. The angle of elevation of the ladder is 62˚ when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answer:
The length of the ladder is about 34.1 feet.
Step-by-step explanation:
cos(62°) = 16/h
h cos(62°) = 16
h = 16/cos(62°) = 34.1 feet
What is the missing measurement of this right triangle?
5 m (Opposite Side)
9 m (Hypotenuse)
x (Adjacent Side)
The missing measurement of this right triangle is x=2√14
TP is a tangent to the circle at centre O. The value of x is
Answer:
x = 62
Step-by-step explanation:
the angle between a tangent and the radius at the point of contact = 90°
then Δ PTO is right
the sum of the 3 angles in the triangle = 180° , so
x = 180 - 90 - 28 = 180 - 118 = 62
Answer:
x = 62°Step-by-step explanation:
TP is a tangent to the circle at centre O
means
TP is perpendicular to TO
Then
m∠OTP = 90°
Then
OTP is a right triangle
Then
x = 90 - 28
= 62
