c) It will have less variation.
Decreasing the sample size will generally result in more variation in the distribution of sample means. This is because with a smaller sample size, there is less information available to estimate the population mean, which means that the sample mean will be less precise and will vary more from one sample to the next.
For example, if you take a sample of 10 individuals from a population and calculate the mean of their heights, the sample mean will likely be a good estimate of the population mean height. However, if you take a sample of just 2 individuals and calculate the mean of their heights, the sample mean will be less precise and will be a less reliable estimate of the population mean height. This is because the sample of 2 individuals may not be representative of the overall population, and the sample mean will be more influenced by extreme values or outliers.
In general, as the sample size decreases, the distribution of sample means will become more spread out and will have more variation. This is because with a smaller sample size, there is more uncertainty about the population mean, and the sample means will be more likely to deviate from the true population mean.
To learn more about mean, visit:
brainly.com/question/521501
#SPJ4
the equation for the two lines of symmetry of a rectangle.
Answer:
180
Step-by-step explanation:
xdcjuggggggggggggggggggggg
I RLLY NEED HELP PLA NOWWW
The surface area of the pyramid is 41. 29 In²
How to determine the surface areaThe formula for determining surface area of a square pyramid is expressed as;
Surface area = a² + 2a [tex]\sqrt{\frac{a^2}{4 } + h^2[/tex]
Where;
a is the base of the pyramidh is the height of the pyramidSubstitute the values
Surface area = [tex]4^2 + 2(4) \sqrt{\frac{4^2}{4} } + 6[/tex]
Find the squares
Surface area = [tex]16 + 8 \sqrt{\frac{16}{4} + 6 }[/tex]
Divide the values
Surface area = 16 + 8√10
Surface area = 16 + 8(31.16)
expand the bracket
Surface area = 16 + 25. 29
Surface area = 41. 29 In²
Hence, the value is 41. 29 In²
Learn more about surface area here:
https://brainly.com/question/16519513
#SPJ1
How many cups are in 1/2 a gallon?
A gallon which is a liquid measuring unit of US in cooking measurements, there are eight cups in half of a gallon.
A gallon is the most commonly used unit of measure for measuring the volume of liquids. US gallons are legally defined as 231 cubic inches, or exactly 3.78 liters .
Ounces : fluid ounces (fl oz, fl. oz ) is a unit of volume commonly used to measure liquids. To convert from gallons to ounces, multiply the value in gallons by 128. So, 1/2 gal = (1/2) × 128 = 64 oz or ounces, 1/2 gallons = 64 ounces. Now, let's measure a cup in gallons, 1 cup is equal to 8 ounces ,then 8 cups are 64 ounces. From the above discussion we conclude that 8 cups = 64 ounces = 1/2 gallon. So, 8 cups is 1/2 gallon.
To learn more about Gallons volume measuring unit , refer:
https://brainly.com/question/4837138
#SPJ4
How do you solve a/15 = 4/5 ?
The value of a=12
Simply use cross multiplication :
The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equals to symbol. Cross multiplication is a method for comparing fractions.
Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.
[tex]\frac{a}{15}=\frac{4}{5}[/tex]
or, 5a=4*15
or, a= 4*15/5
or, a= 12
To learn more about cross multiplication visit: brainly.com/question/29190202
#SPJ4
write 2 differnt expressions that involve only oots and powers of 2 which are equivalent 4 2/3 / 8 1/4
2 different expressions that involve only outs and powers of 2 which are equivalent 4 2/3 / 8 1/4
1) (4^2 * 2^-1 * 3^1) / (8^1 * 2^-2 * 4^-1)
2) (2^5 * 3^1) / (2^6 * 4^-1)
1) (4^2 * 2^-1 * 3^1) / (8^1 * 2^-2 * 4^-1)
This expression is equivalent to 4 2/3 / 8 1/4 because it is written in terms of powers of two. 4^2 is equal to 16, which is the numerator in 4 2/3. 2^-1 is the same as 1/2, which is the second fraction in 4 2/3. 3^1 is equal to 3, which is the numerator in 8 1/4. 8^1 is equal to 8, which is the denominator in 8 1/4. 2^-2 is the same as 1/4, which is the second fraction in 8 1/4. 4^-1 is equal to 1/4, which is the first fraction in 8 1/4. When all the terms are multiplied and divided, it is the same as 4 2/3 / 8 1/4.
2) (2^5 * 3^1) / (2^6 * 4^-1)
This expression is also equivalent to 4 2/3 / 8 1/4 because it is written similar to above equation.
Learn more about expression here
https://brainly.com/question/14083225
#SPJ4
which of these situations can be represented by the opposite of -25
The situations that can be represented by the opposite of -25 are:
B. Leon gets paid $25. C. An airplane descends 25 feet. E. A bird flies 25 feet above sea levelHow can the opposite of -25 be calkculated?-25 can be seen as represention of the given situations fro the problem, and exploring the given options, we can see that 25 feet below the sea level with that ones balance can be gets reduced by $25.
But when exploring the But the opposite of (-25) then we can see that 25 feet above the sea level, and in this case the amount will be raised by $25. and the height by 25 feet with the increase in the debt by $25.
Therefore, option B ,C and E are correct.
Learn more about opposite at:
https://brainly.com/question/17668519
#SPJ1
missing options:
A. A scuba diver is 25 feet below sea level. B. Leon gets paid $25. C. An airplane descends 25 feet. D. Sara has a $25 debt. E. A bird flies 25 feet above sea level
a differentiable function f has the property that f(5)=3 and f′(5)=4. what is the estimate for f(4.8) using the local linear approximation for f at x= 5
The estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.
Explain the term differentiable function?Any point within the domain of a function's domain has a derivative, making it a differentiable function with one real variable. In other words, each interior point in the domain of a differentiable function's graph does have a non-vertical tangent line.For the stated function;
f(5)=3 and f′(5)=4
the linear approximation indicates that you believe the function is linear.
So just do this:
f(5) + f'(5) (x-5)
Put the values in the obtained function;
In this particular instance, it works out.
= 3 + 4 (4.8 - 5)
= 3 + 4 (-0.2)
= 2.2
Thus, the estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.
To know more about the differentiable function, here
https://brainly.com/question/5525095
#SPJ4
at which minimum altitude should you cross the stakk intersection? a. 10,200 feet msl. b. 11,800 feet msl. c. 10,800 feet msl.
Answer: 6,500 feet MSL
Step-by-step explanation:
I don't think any options you provide have the correct answer! It should be 6,500 feet MSL
If A inversely proportional to the cube of B, A=64 and B=2.
1). Find the law connecting A and B
2). Find the value of the Constant
Answer:
See below
Step-by-step explanation:
1). A = k / (B^3) <==== this becomes A = 512/(B^3) when you use the answer from 2). (below)
2). When A = 64 and B = 2 :
64 = k / (2^3)
64 = k / 8
k = 64*8 = 512
Carson owes Nigel $110. If Carson repays this debt at a rate of $15 per week, which graph best represents when, in weeks, Carson’s debt will be less than $50?
Responses
After doing the equitation the at rate of $15 per week.
How to do graph representation?
Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.
Carson owes = $110
At rate of $15 per week.
The graph representation will follows:
To know more about Graph Representation visit,
https://brainly.com/question/28732353
#SPJ1
The population of a city decreases by 3.3% per year. If this year's population is 72,000, what will next year's population be, to the nearest individual?
Using the given information, the city's next year population will be 69,840
Determining the population of a cityFrom the question, we are to determine what the population of the city will be the following year
From the given information,
"The population of a city decreases by 3.3% per year"
and
This year's population is 72,000
Thus,
The population of the following year will be
72000 - 3% of 72000
Next year population = 72000 - 3% of 72000
Next year population = 72000 - 3% × 72000
Next year population = 72000 - 0.03 × 72000
Next year population = 72000 - 2160
Next year population = 69,840
Hence, the population will be 69,840
Learn more on Calculating population here: https://brainly.com/question/20725263
#SPJ1
What absolute value function is represented by the graph?
Answer: y=|x+1.5|
Step-by-step explanation:
y=|x+1.5|
Which ones are correct ✅
Answer:
Step-by-step explanation:
1)Option A)
2)Option B)
A warehouse with a value of $200,000 is insured for $140,000 under an 80% coinsurance policy. A fire loss of $80,000 occurs. How much of the loss will the insurance company pay for? PLEASE SHOW WORK
The amount of loss that the insurance company will pay is $70000
How do you calculate coinsurance and deductibles?Deductible plus the amount of coinsurance equals the out-of-pocket maximum.
Determine the $1,000 deductible that the insured is required to pay.
Calculate the coinsurance payment due from the insured: 20% of $5,000 equals $1,000.
What is the formula for coinsurance?The coinsurance penalty is calculated using the straightforward formula: the loss multiplied by the amount of insurance that should have been in place, less any deductible, equals the amount that was actually paid.
The following covered losses are subject to the coinsurance provision: Property value: $200,000; policy limit: $140,000; coinsurance: 80%; loss: $100,000; deductible: $250; all other numbers: $200,000; etc.
The insured only had $140,000 when they should have had $160,000 (200,000 x.80).
The coverage will cover the deductible plus $87,500. (140,000/160,000
=.875; $100,000 x .875
= $87,500; $87,500 - $250
= $77,250)
Stop Limit/Value =%, Loss Amount x% = $ Amount Policy Would Pay (-) minus $ Deductible = $ Covered Loss Amount
To learn more about coinsurance click the following link:-
https://brainly.com/question/12104973
#SPJ1
Which is the product of 56 and 5/9
1, 1 and 4/9
2, 30
3, 31
4, 31 and 1/9
Answer:
4.
Step-by-step explanation:
strange phrasing of the answer options.
anyway, the product of 56 and 5/9 is
56 × 5/9 = 56×5 / 9 = 280/9 = 31 1/9
or as the definition says 31 and 1/9.
because 31×9 = 279.
280 - 279 = 1
so, there is a remainder of 1, which means 1/9.
280/9 = 279/9 + 1/9 = 31 1/9
A spinner contains 3 sectors of the same size. One sector is
labeled red and two sectors are labeled blue. Kathryn spins
the spinner and records the results. After conducting a
number of trials for this experiment, Kathryn concludes that
there is a flaw in her experiment. Which of the following best
demonstrates that her experiment is flawed?
Three identically sized sectors make up a spinner. Two sectors are colored blue, while one sector is labeled red. Kathryn turns the spinning while recording the outcomes. Kathryn comes to the conclusion that there is a problem with her experiment after running several trials for it.
What is the theoretical probability of spinning a 3?The object's sample space affects theoretical probability. For instance, the likelihood of rolling a 3 when using a fair die is 1/6. This is so because, when a fair die is rolled, the number 3 indicates one of the six possible results.
Divide the total number of trials by the number of times the desired result has occurred to determine the experimental probability.Every time, one fourth of the time, the spinner will land on a different color. The likelihood of rolling each number on the die in Experiment 2 is always one sixth. The results are equally likely to occur in both of these tests. Let's examine a test in which the results are not equally likely.
To learn more about probability refer to :
https://brainly.com/question/24756209
#SPJ1
1. connie multiplies a number by 2 and gets 60 as her answer. however, she should have divided the number by 2 to get the correct answer. what is the correct answer?
The correct answer is 15.
Given:
connie multiplies a number by 2 and gets 60 as her answer
let x is the number
then, 2x=60
or x=30.
since , she should have divided the number by 2 to get the correct answer
According to the question,
Dividing the number by 2
Therefore , correct answer = 30/2 = 15
Learn more about division at :
https://brainly.com/question/28119824
#SPJ4
What is the area of a rectangle 3 meters long and 7 meters high
Answer:
21 sq. meters
Step-by-step explanation:
you just need to multiply the width and the height, so 3x7.
3x7=21
Answer: 21m^2
Step-by-step explanation:
The equation finds the area of a rectangle is
Area= Width times Height
So take 7 times 3 = 21 m^2
Evaluate the function f(x)=3x+2;f(-1)
Answer:
f(-1)= -1
Step-by-step explanation:
put -1 where x is
f(x)=3x+2;f(-1)
f(-1)=3(-1)+2
f(-1)= -3+2
f(-1)= -1
g an epidemic of measles has started at what rate is the modeled by the funtion p epidemic spreading after 3 days
The modeled epidemic rate cannot be determined from the information provided.
The rate of an epidemic spreading is a complex process that is influenced by many factors such as the population density, the number of people who are vaccinated, and the infectiousness of the virus. Therefore, it is not possible to accurately model the rate of an epidemic spreading after 3 days based on the information provided. To accurately model the rate of an epidemic spreading, additional information such as the population density, the number of people who are vaccinated, and the infectiousness of the virus would be needed.
Learn more about rate here
https://brainly.com/question/13481529
#SPJ4
The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
70 times smaller is the bacterial cell than the amoeba cell.
What is 10^n?
As a result, a power of 10 is represented in long form as the number 1 followed by n zeros, where n is the exponent and is bigger than 0; for instance, 10⁶ is represented as 1,000,000. The number 1 n places after the decimal point represents the power of 10 when n is less than 0; for instance, 10⁻² is represented as 0.01.
Given that, the length of a bacterial cell is about 5 x 10⁻⁶ m, and the length of an amoeba cell is about 3.5 x 10⁻⁴ m.
To calculate times of smaller, divide the length of amoeba cell with bacterial cell.
Therefore, (3.5 x 10⁻⁴)/(5 x 10⁻⁶) = 70.
To learn more about scientific notation, click on below link:
https://brainly.com/question/28727696
#SPJ1
Answer:
so the experts answer is correct but its not in scientific notation the answer is: 7 x 10^1
Step-by-step explanation:
Can someone please explain this question. Please give a step by step explanation
Answer:
45
Step-by-step explanation:
8 numbers summed and divided by 8 = 41
8numberssummed / 8 = 41
8numberssummed = 41 * 8 = 328
now taking out two numbers whose mean is 29 is the same as taking out two 29's from the sum ....so now there are SIX numbers
6numberssummed = 8numberssummed - 29 -29
= 328 -29 -29 = 270
so to find the mean of the remaining six numbers:
6numberssummed / 6 is 270/6 = 45
Answer:
mean = 45
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
given the mean of 8 numbers is 41 , then
[tex]\frac{sum_{8} }{8}[/tex] = 41 ( multiply both sides by 8 )
sum₈ = 328
given the mean of 2 of the numbers is 29 , then
[tex]\frac{sum_{2} }{2}[/tex] = 29 ( multiply both sides by 2 )
sum₂ = 58
Then
sum₆ = sum₈ - sum₂ = 328 - 58 = 270
then the mean of the other six numbers is
mean = [tex]\frac{sum_{6} }{6}[/tex] = [tex]\frac{270}{6}[/tex] = 45
The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals 10 6400 4096 Question 15 (1 point) The interquartile range is the 50th percentile the difference between the third quartile and the first quartile another name for variance the difference between the largest and smallest values
The variance of a sample is 4,096. And for interquartile, the difference between the largest and smallest values. The correct answer is option D
To calculate the variance we have a small formula:
v=s^2-----(1)
v=variance
s=Standard deviation
so, given that s=64
substitute in equation(1)
v=64*64
v=4096.
variance: The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean.
Variance is denoted by a symbol: σ2.
Interquartile range (IQR) is a measure of statistical dispersion, which is used to spread the data. The IQR is also called midspread.
To calculate the IQR, the data set is divided into quartiles. These quartiles are denoted by Q1 (another name is the lower quartile), Q2 (the median), and Q3 (also called the upper quartile). The lower quartile corresponds with the 25th percentile and the upper quartile corresponds with the 75th percentile, so IQR = Q3 − Q1
To know more about Variance:
https://brainly.com/question/16162584
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=98.13, y=100.6, r=0.904, P-value=0.000, ŷ=14.68+0.88x, where x represents the IQ score of the twin born first. Find the best predicted value of ModifyingAbove y with caret given that the twin born first has an IQ of 104? Use a significance level of 0.05.
The best-predicted value of Modifying Above y with caret given that the twin born first has an IQ of 104 is 106.2.
The dependent variable's predicted value in basic linear regression is given by the equation = b0 + b1x.
In order to minimize the total sum of squared errors, the values of b0 and b1 are derived from the data using the equation line = b0 + b1X. (the error is the difference between the predicted value and the actual value of y).
Use regression equation
ŷ=14.68+0.88x
plug in IQ, which is x
y = 14.68 + 0.88(104)
= 106.2
Hence, the answer is 106.2
To learn more about best-predicted value here:
https://brainly.com/question/27846998
#SPJ4
what is the percent of change 8 to 2?
The percent of change 8 to 2
Find the 14th term of the arithmetic sequence -x-5, 6x - 7, 13x - 9,...
Answer: a₁₄=90x-31
Step-by-step explanation:
-x-5, 6x-7, 13x-9 ...
Hence,
a₁=-x-5
a₂=6x-7
a₃=13x-9
d=a₂-a₁
d=6x-7-(-x-5)
d=6x-7+x+5
d=7x-2
aₙ=a₁+d(n-1)
a₁₄=-x-5+(7x-2)(14-1)
a₁₄=-x-5+13(7x-2)
a₁₄=-x-5+91x-26
a₁₄=90x-31
consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to ?
The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is
||A - A1||₂=0 where A is 2×2 matrix.
We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]
note here that C₂= 3C₁
where Cᵢ --> iᵗʰ column
v = [ 5 ; 6 ; -1 ; -4 ; 2]
||v||² = 82 => ||v|| = √82
and A At v = 820 v
and A At = [ 82 246 ; 246 738]
AAt [1;3] = 820[1;3]
=> v1 = 1/√10(1,3)^t
Then the best rank of 1 approx
= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]
= A
Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0
Hence, the minimal Approx. ||A - A1||2 = 0 .
To learn more about minimal of matrix, refer:
https://brainly.com/question/19084291
#SPJ4
Complete question:
Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?
a laptop computer is purchased for . each year, its value is of its value the year before. after how many years will the laptop computer be worth or less? (use the calculator provided if necessary.)
After 7 years the laptop computer will be worth $200 or less.
Given:
A laptop computer is purchased for $1400 .
Each year, its value is 75% of its value the year before.
After how many years will the laptop computer be worth $200 or less = ?
1400(0.75)t≤ 200
0.75t ≤ 1/7
ln(0.75t) ≤ ln(1/7)
tln(0.75) ≤ ln(1/7)
t ≥ ln(1/7)/ln(0.75)
t ≥ 6.76
The natural log of a number between 0 and 1 is negative, and dividing by a negative switches the sign.
So, after 7 years, the laptop computer will be worth $200 or less.
Learn more about Hypothesis here:
brainly.com/question/15980493
#SPJ4
How do you simplify i^100?
The solution of i^100 = 1 is [tex]i^{100} = 1[/tex] .
Simplify
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Power
In mathematical relationships, power is referred to the number of times a number is multiplied by itself meaning the number you get raising a number to an exponent whereas an exponent can be defined as the number of times the number is used in a multiplication. Exponents are often known as powers or indices.
Exponents
Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.
Rewrite [tex]i^{100}[/tex] as [tex](i^{4} )^{25}[/tex]
One to any power is one.
1
From the fact that [tex]i^{2}[/tex] = −1,
Then
([tex]-1^{50}[/tex]) = 1 as −1 raised to any even power is 1.
[tex]i^{100} = 1[/tex]
i^100 = 1
To learn more about Simplify and Power visit:
brainly.com/question/23002609
#SPJ4
! if six theta = x/4 where 0 < theta < 90 and 0 < x < 4, then cos theta =
Using Pythagoras theorem If sin tetha = x/4, then cos tetha = √(16-x²)/4
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
The sides of this triangle have been named Perpendicular, adjascent and Hypotenuse. If sin (tetha) = x/4, this means
x = opposite and
4 = hypotenuse
From hypotenuse² = opposite² + adjacent²
4² = x²+y²
y² = 16-x²
y = √ ( 16-x²)
cos (tetha) = adjacent/ hypotenuse
cos (tetha) = √(16-x²)/4
Therefore the value of cos (tetha) = √(16-x²)/4
Learn more about Pythagoras theorem from
https://brainly.com/question/231802
#SPJ1
