An outlier in a data set can significantly affect the value of the mean but not the median because the mean is calculated by adding up all the values and dividing by the total number of values, while the median is the middle value of a set of data when it is arranged in numerical order. Outliers can greatly influence the mean because they can greatly increase or decrease the sum of all the values, which changes the average. However, outliers do not significantly affect the median because the median only depends on the middle value of the data set, and not the total sum of all the values.
Scott picked x pound of blueberries from a local farm , he gave 3 pounds of his pick to his brother , dean . he shared the remaining blueberries equally with his sister Georgia he now has 5 pounds of blueberries
Scott picked x pounds of blueberries from a local farm and if Scott picked x pounds of blueberries, he now has 5 pounds, so x = 5(2) = 10 pounds.
What is pounds ?Pounds is a unit of mass or weight used in the imperial and United States customary systems of measurement. It is equal to 16 ounces or 0.45 kilograms. In the United Kingdom and the other countries that use the imperial system of measurement, it is the standard unit used to measure the weight of people, animals and other objects. In the United States, the pound is often referred to as the avoirdupois pound to differentiate it from other units of measure.
He gave 3 pounds of his pick to his brother, Dean. This leaves x-3 pounds of blueberries. He then shared the remaining blueberries equally with his sister Georgia, so each of them got (x-3)/2 pounds of blueberries. This means that Scott has (x-3)/2 + 3 = (x+3)/2 pounds of blueberries. Therefore, if Scott picked x pounds of blueberries, he now has 5 pounds, so x = 5(2) = 10 pounds.
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two hummingbirds just finished drinking some nectar from a clump of flowers. the first bird flies away east at 8 miles per hour. the second flies north at 6 miles per hour. how many minutes will it take for the birds to be 25 miles apart?
Let's call the time it takes for the birds to be 25 miles apart t, in hours. In this time, the first bird will fly a distance of 8t miles to the east, and the second bird will fly a distance of 6t miles to the north.
To determine t, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the distance between the birds) is equal to the sum of the squares of the other two sides.
So, for the two birds to be 25 miles apart, we have:
25^2 = (8t)^2 + (6t)^2
25^2 = 64t^2 + 36t^2
25^2 = 100t^2
t^2 = 25^2 / 100
t^2 = 0.25
t = √0.25
t = 0.5
So, it will take the birds 0.5 hours, or 30 minutes, to be 25 miles apart.
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Describe the error that was made when solving the quadratic function below. Then find the correct solution(s). 2 x squared minus 20 equals 52 2 x squared equals 32 x squared equals 16 x equals plus-or-minus 4
The solution to the quadratic equation is ±6
How to determine the errors and the solutionsFrom the question, we have the following steps that can be used in our computation:
2x^2 - 20 = 52
2x^2 = 32x^2
16x = ±4
The error in the above steps is appending x^2 to 32 after collecting the like terms.
Also, the like terms are not properly added
The correct solution is as follows
2x^2 - 20 = 52
Collect the like terms
2x^2 = 72
Divide by 2
x^2 = 36
Take the square root of both sides
x = ±6
Hence, the solution is ±6
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what is the probability that rolling 3 eightsided dice on by one results in 3 strictly incredasing numbers
The probability of rolling a specific sequence of numbers on three eight-sided dice is 1/8 x 1/8 x 1/8, or 1/512. To calculate the probability of rolling three strictly increasing numbers, we need to consider all possible combinations of numbers that meet this condition.
For the first die, any number from 1 to 6 can appear, for the second die, any number from 2 to 6 can appear, and for the third die, any number from 3 to 6 can appear.
Therefore, the number of possible combinations is 6 x 5 x 4 = 120.
The probability of rolling three strictly increasing numbers is 120/512 = approximately 0.234 or 23.4%.
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Last week, Alex took 90 selfies and Vic took 75 selfies. Today, they each decided that some of these selfies were not very good and deleted them. Alex deleted three times as many selfies as Vic. Now, Alex has half as many selfies as Vic. How many selfies did Alex delete?
Answer:
Alex deleted 45 selfies.
HELP pls will mark you the brainliest. Please show your work too.
researchers randomly assign study participants to one of two groups: the experimental group receives the and the control group receives the .
This is Single-Blinded Randomized Controlled trial type of study because the recipient is unaware that they are receiving a treatment, only the researchers are aware of who is receiving which treatment. So the option d is correct.
One of the most rigorous research designs is experimental research, which is frequently referred to as the "gold standard" in research designs.
This design involves the researcher manipulating one or more independent variables (as treatments), randomly assigning individuals to various treatment levels (random assignment), and observing the effects of the treatments on outcomes (dependent variables).
Experimental research has a distinct advantage in that it may link cause and effect through treatment manipulation while controlling for the erroneous effect of unrelated variables, which is known as internal validity (causality).
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The complete question is:
A team of researchers randomly separates their study's participants into two groups, giving one group a placebo and the other a new treatment to be tested. As the treatment is somewhat experimental, participants do not know whether they receive the placebo but researchers do know whether a specific participant receives the placebo. What type of study is this?
a. Standard Deviation Study
b. Type 1 Study
c. Case-Control Study
d. Non-Blinded Randomized Controlled Trial
e. Single-Blinded Randomized Controlled trial
Calculator
What is mZHLG?
Enter your answer in the box.
(25m 22)
(9)
Answer:
[tex]\angle HLG=18 \textdegree[/tex]
Step-by-step explanation:
The sum of the angles in the top quadrant must add up to 90º.
We are given
[tex]25m+22[/tex] and [tex]9m[/tex]
The sum of those must equal 90.
Therefore we can write
[tex](25m+22)+(9m)=90[/tex]
Rearrange and remove the parenthesis.
[tex]9m+25m+22=90[/tex]
Add [tex]9m[/tex] and [tex]25m[/tex].
[tex]34m+22=90[/tex]
Subtract 22 form both sides of the equation.
[tex]34m=68[/tex]
Divide both sides of the equation by 34.
[tex]m=2[/tex]
Now we can evaluate [tex]\angle HLG[/tex].
[tex]\angle HLG=9m\\m=2\\\angle HLG=9*2\\\angle HLG=18 \textdegree[/tex]
A standard size volleyball court has an area of 1,800 square feet. the length of the court is 60 feet . what is the width of the court
Answer:
Below
Step-by-step explanation:
L x W = area
60 * W = 1800
W = 1800/60 = 30 ft
what is the slope of the line containing the midpoint of the segment with endpoints at $(2, 4)$ and $(0, -2)$ and the midpoint of the segment with endpoints at $(5, 1)$ and $(1, 5)?$ express your answer in simplest form.
The slope of the line is [tex]$\frac{3}{2}$[/tex] containing the midpoint of the segment with certain given endpoints.
The slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between any two points on the line. It represents the rate of change in the y-coordinate with respect to the x-coordinate.
The midpoint of the first segment is[tex]$\left(\frac{2+0}{2}, \frac{4+(-2)}{2}\right)[/tex]= (1,1) and the midpoint of the second segment is [tex]$\left(\frac{5+1}{2}, \frac{1+5}{2}\right)[/tex] = (3, 3). To find the slope of the line between these two points, we use the formula for the slope of a line: [tex]$\frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]\frac{3 - 1}{3 - 1}[/tex] =[tex]\frac{3}{2}[/tex]. So, the slope of the line is [tex]$\frac{3}{2}$[/tex].
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One of your friends wants to buy a pair of binoculars to look at the birds and animals, however she cannot afford the R4999 at once. She pays a deposit of R999 and the rest over 3 years using simple interest.
What is the name given to this type of transaction?
The type of transaction described in the problem is called an installment purchase.
What is the simple interest?
Simple interest is a type of interest that is calculated on the principal amount of a loan or investment for a specific period of time.
The type of transaction described in the problem is called an installment purchase. In this type of transaction, a buyer pays a deposit at the time of purchase and then makes periodic payments, typically over a fixed period of time, until the full purchase price is paid off. In this case, the buyer pays a deposit of R999 and then pays off the remaining balance over a period of 3 years using simple interest.
To calculate the total amount that the buyer will pay over the 3-year period, we need to calculate the amount of interest that will be charged on the remaining balance. Since simple interest is being used, we can use the formula I = Prt, where I is the interest, P is the principal (the remaining balance), r is the interest rate, and t is the time period.
Assuming an annual interest rate of, for example, 5%, the interest charged on the remaining balance of R4000 (the original price minus the deposit) over 3 years would be:
I = Prt
I = 4000 * 0.05 * 3
I = R600
So the total amount that the buyer will pay over the 3-year period is:
R999 (deposit) + R4000 (remaining balance) + R600 (interest) = R5599
the total cost of the binoculars over the 3-year period will be R5599.
Hence, The type of transaction described in the problem is called an installment purchase.
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Abby squeezed the juice from 4 oranges and made 1 cup of orange juice. Each orange provides the same amount of juice.
PART A.
Complete the table below to show the relationship between the number of cups orange juice that are made by squeezing the juice from different numbers of oranges.
Enter your answers in the boxes, Write all answers as a whole number or decimal, no fractions.
5 oranges = how many cups of juice(x)
The solution is, 5orange = 1.25 cup
24orange= 6 cup
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Abby squeezed the juice from 4 oranges and made 1 cup of orange juice. Each orange provides the same amount of juice.
now,
from 5 orange we get = 5/4
=1.25 cup
and, 6 cup from = 4*6
=24 orange
Hence, The solution is, 5orange = 1.25 cup
24orange= 6 cup
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an automobile speedometer with circular scales reading both miles per hour and kilometers per hour is shown. what speed is indicated in kilometers per hour?
The
speed
indicated in kilometers per hour is 85 km/h, as shown on the circular scale of the automobile
speedometer
.
The automobile
speedometer
is an instrument that measures the speed of a vehicle. It has a circular
scale
that reads both miles per hour (mph) and kilometers per hour (km/h). To determine the
speed
in kilometers per hour, the user must first locate the needle on the scale. The needle should be pointing to a specific number that corresponds to both mph and km/h. For example, if the needle is pointing to 85, then the speed indicated in kilometers per hour is 85 km/h. It is important to note that if the needle is located between two
numbers
, the user should determine the approximate speed by interpolating the two numbers. To find the speed in miles per hour, the user can simply look at the number that corresponds to the needle on the scale. In this case, the speed indicated in miles per hour is 53 mph.
The complete question: An automobile speedometer with circular scales reading both miles per hour and kilometers por hour is shown. What speed is indicated in miles per hour? 100 120 140 80 160 *60 180 200 40 20 220 Own 240 Express your answer in miles per hour v.2 mph
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g two statistics students at ucla conducted an energy efficiency survey of graduate student apartments. there were seven university apartment buildings, and the students randomly selected three to be included in the study. in each building, they randomly chose 25 apartments. what is the largest group of students that the study results represent? all ucla graduate student apartments. all ucla graduate student apartments in this group of seven buildings. all ucla graduate student apartments in the three sampled buildings. all ucla graduate student apartments that were sampled in the three buildings.
The largest group of students that the study results represent is "all UCLA graduate student apartments in the three sampled buildings".
The number of graduate student apartments in the three sampled buildings can be represented mathematically as:
N = 25 * 3
Where N is the number of apartments sampled and 25 is the number of apartments randomly selected in each of the three buildings.
This expression represents the total number of apartments in the largest group that the study results represent, which is "all UCLA graduate student apartments in the three sampled buildings."
This is because the survey only included data from 25 apartments in each of the three randomly selected buildings. The results of the study cannot be generalized to represent all UCLA graduate student apartments or even all apartments in the group of seven buildings as the sample size is limited to only three buildings. The results only provide information about the energy efficiency of the apartments in the three sampled buildings.
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Kayla has 52 CDs in her music collection. Let c
represent the number of country music CDs in
Kayla's collection. Which expression can be used
to find the number of CDs that are not country
music?
A. c-52
B. 52+ c
C.
52
D. 52-c
The expression can be used to find the number of CDs that are not country music is 52-c. The correct option is D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Kayla has 52 CDs in her music collection. Let c represent the number of country music CDs in Kayla's collection.
The expression can be used to find the number of CDs that are not country music is written as below:-
E = 52-c
The correct option is D for the required expression.
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a 39 3939-meter ladder is sliding down a vertical wall so the distance between the bottom of the ladder and the wall is increasing at 10 1010 meters per minute. at a certain instant, the bottom of the ladder is 36 3636 meters from the wall. what is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
The distance between the top of the ladder and the ground is decreasing at a rate of 10 meters per minute.
Let's call the distance between the bottom of the ladder and the wall as "x".
At a certain instant, x = 3636 meters
The rate of change of x with respect to time is 10 meters per minute, so dx/dt = 10 m/min.
At that same instant, the height of the ladder above the ground can be expressed as
h = (3939 - x)
since the ladder is 3939 meters long
The rate of change of h with respect to time can be found using the chain rule of differentiation.
dh/dt = dh/dx * dx/dt = -10 m/min
So, at the instant when the bottom of the ladder is 3636 meters from the wall, the rate of change of the distance between the top of the ladder and the ground is -10 meters per minute. This means that the distance between the top of the ladder and the ground is decreasing at a rate of 10 meters per minute.
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Simplify the following expression (42x + 62y) + (38x - 4y)
The simplified form of the expression (42x + 62y) + (38x - 4y) is 80x + 58y.
What is the simplified form of the expression?Given the expression in the question
(42x + 62y) + (38x - 4y)
To simplify, collect and add like terms.
(42x + 62y) + (38x - 4y)
42x + 62y + 38x - 4y
Collect like term
42x + 38x - 4y + 62y
Add 42x and 38x
80x - 4y + 62y
Add -4y and 62y
80x + 58y
Therefore, the simplified form is 80x + 58y.
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PLEASE HELP!!
EH is the perpendicular bisector of DF. Find the indicated measure
Find EF, FG, DF
The triangles ∆DEF and ∆DGF are isosceles triangles, and the values of the following lengths are: EF = 44, FG = 36, and DF = 62.
How to evaluate for the side lengths of the trianglesEH is a perpendicular bisector of FD implies triangle ∆DGF is an isosceles triangle so:
FE is equal to ED and FG is equal to GD
7x + 9 = 9x - 1
9x + 7x = 9 + 1 {collect like terms}
2x = 10
x = 10/5 {divide through by 5}
x = 2
7y + 8 = 10y - 4
10y - 7y = 8 + 4 {collect like terms}
3y = 12
y = 12/3 {divide through by 3}
y = 4
EF = 7(5) + 9 = 44
FG = 7(4) + 8 = 36
DF = 2(FH)
FH = 3(5) + 4(4) = 31
DF = 2(31) = 62.
Therefore, the isosceles triangles ∆DEF and ∆DGF have the values of the following lengths as: EF = 44, FG = 36, and DF = 62.
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a box contains seven 40-w bulbs, five 60-w bulbs, and six 75-w bulbs. if bulbs are selected one by one in random order, what is the probability that at least two bulbs must be selected to obtain one that is rated 75 w?
The probability that at least two bulbs must be selected to obtain one that is rated 75W is 2/3.
Number of 40W bulbs = 7
Number of 60W bulbs = 5
Number of 75W bulbs = 6
We are to find the probability that at least two bulbs must be selected to obtain one that is rated 75 w
Let's say the x is the event in which at least 2 bulbs must be selected to obtain one that is rated 75W and y is the event in which just one bulb was selected which is rated 75 W
So, P(x) = 1 - P(y)
P(x) = 1 - 6/(7 + 5 + 6)
P(x) = 1 - 6/18
P(x) = 1 - 1/3
P(x) = 2/3
Hence, the probability that at least two bulbs must be selected to obtain one that is rated 75W is 2/3.
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What is slope of the line shown in the graph below?
Answer:
the answer is m =-2
beause my teacher told me
a student drops a basketball into a pool from a height of 5 meters while a friend records the approximate splash height. they want to make a bigger splash in their next trial. how can they achieve this?(1 point)
In order to achieve a bigger splash in their next trial, all the students must need to do is use a ball with a larger circumference.
Displacement and volume are defined as a dimensional object dropped into a liquid that will always displace its own volume from the liquid.
For a basketball, the circumference is a function of its volume. In other words, the larger the circumference, the larger the volume.
This defines that a basketball with a larger volume will displace more water from the pool than one with a lower volume.
Finally, to make a bigger splash, a basketball with a larger circumference would be needed.
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what is the value of x
Answer:
x=43
Step-by-step explanation:
since we know already two values (90 which is the right angle and 47)
we can do 90+47 =137
180(angles in a triangle)- 137= 43
-4(c - 4) expand and simplify
Answer: -4c + 16
Step-by-step explanation:
So to expand all you do is simply multiply the number outside the bracket (-4) but the numbers inside the bracket one by one as such:
-4 * c = -4c
-4 * -4 = 16
Therefore your answer is -4c + 16 as it can not be simplified further because there as no more like terms to be collected. Hope this helped! ^^
Step-by-step explanation:
-4c+16=
divide both sides by -4
-4c\-4=16\-4
c=16\-4
c=-4
solve for x and show full work
Answer:
x = 8
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{RT}{WU}[/tex] = [tex]\frac{RS}{WV}[/tex] ( substitute values )
[tex]\frac{6x+15}{28}[/tex] = [tex]\frac{108}{48}[/tex] ( cross- multiply )
48(6x + 15) = 28 × 108 = 3024 ( divide both sides by 48 )
6x + 15 = 63 ( subtract 15 from both sides )
6x = 48 ( divide both sides by 6 )
x = 8
how much time do students spend on the internet? we collect data from the 32 members of our ap statistics class and calculate the mean amount of time that each student spent on the internet yesterday.
It would be appropriate to construct a t-interval to estimate the population mean.
To determine whether it is appropriate to construct a t interval to estimate the population means, we need to consider if the sample size is large enough and if the population standard deviation is known.
If the sample size is less than 30 and the population standard deviation is not known, then it would be appropriate to use a t-interval.In this case, the sample size is 32, which is large enough to assume that the sample mean is an accurate representation of the population mean.
However, the population standard deviation is not known, so it would be appropriate to use a t interval. The t interval can be calculated using the sample mean, sample standard deviation, and degrees of freedom, which is the sample size minus 1.
The t interval will provide a range of values that we can be confident the population mean falls within, given the sample mean and variability.
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How much time do students spend on the internet? We collect data from the 32 members of our AP Statistics class and calculate the mean amount of time that each student spent on the Internet yesterday. Discuss whether it would be appropriate to construct a t interval to estimate the population mean.
consider the given plot of absorbance vs. concentration. which line is the best-fit line to represent the black data points? plot with eight data points and three lines drawn. the green line is on top and touches three of the data points with the rest below it. the red line is in the middle; it goes through one data point, three data points are above it, and four data points are below it. the blue line is on the bottom; it has two data points below it and six data points above it. select one: red line (b) green line (a) blue line (c)
The best-fit line to represent the black data points is the blue line.
The plot of absorbance vs. concentration shows 8 data points with 3 lines drawn to represent the data. In order to determine the best-fit line, we need to evaluate the lines based on how well they represent the data points.
(a) The red line is the middle line and goes through 1 data point, with 3 data points above it and 4 data points below it. This line has a slope that is between the slopes of the other two lines. However, it doesn't go through many of the data points and the slope is not consistent with the majority of the data points.
(b) The green line is the top line and touches 3 of the data points, with the rest of the data points below it. This line has a steeper slope compared to the red line, but it doesn't touch many of the data points and has a significant deviation from the majority of the data points.
(c) The blue line is the bottom line and has 2 data points below it and 6 data points above it. This line has a slope that is more consistent with the majority of the data points, and it has the least deviation from the data points compared to the other two lines.
In mathematical terms, the blue line has the least sum of squared residuals, meaning it has the smallest difference between the observed values and the predicted values.
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if a qantas 787-9 with 285 passengers and 14 crew flew 7,536 miles from los angeles, california to sydney australia, how many revenue passenger miles (rpm) were flown on this flight?
The number of RPM flown on this flight from Los Angeles to Sydney is 2,150,960 Miles.
Revenue Passenger Miles (RPM) is a measure of how much passenger traffic an airline is serving, and is calculated by multiplying the number of revenue passengers (passengers paying a fare) by the distance travelled in miles. For this flight, the number of RPM is calculated as follows:
RPM = (Number of Revenue Passengers) x (Distance Travelled in Miles)
RPM = (285 Passengers) x (7,536 Miles)
RPM = 2,150,960 Miles
Therefore, the number of RPM flown on this flight from Los Angeles to Sydney is 2,150,960 Miles.
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what is From 13 friends to 14 friends
a basketball player with a poor foul-shot record practices intensively during the off-season. he tells the coach that he has raised his proficiency from 60% to 80%. dubious, the coach asks him to take 10 shots, and is surprised when the player hits 9 out of 10. did the player prove that he has improved?
The probability he can hit at least 9 of 10 shots anyway is 0.0463 or 4.63%
Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.
Given[tex]=60[/tex]%[tex]=0.60[/tex]
n[tex]=10[/tex]
Definition binomial probability:
[tex]P(X=k)=(n^{k} )*(P^{k} )*(1-P)^{n-k}[/tex]
Evaluate for [tex]k=9[/tex] and [tex]k=10[/tex]
P[tex](X=9)=0.0403[/tex]
P[tex](X=10)=0.0060[/tex]
Add the corresponding probabilities:
P[tex](x\geq 9)=P(X=9)+P(X=10)=0.0403+0.0060=0.0463=4.63[/tex]%
Command Ti83/84 command: binompdf(10,0.60,9)+binompdf(10,0.60,10)
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Given: ABCD is a parallelogram
Diagonals AC, BD intersect at E
Prove AE≅CE, and BE≅DE
The two column proof that shows that AE ≅ CE, and BE ≅ DE is as shown below.
How to use two column proof in geometry?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
Statement 1: ABCD is a parallelogram
Reason 1: Given
Statement 2: AB ≅ CD
Reason 2: Parallelogram Side Theorem
Statement 3: ∠ABE and ∠CDE are alt. interior angles
Reason 3: Def. of alt. interior angles
Statement 4: ∠BAE and ∠DCE are alt. interior angles
Reason 4: Def. of alt. interior angles
Statement 5: AB ║ CD
Reason 5: Def. of Parallelogram
Statement 6: ∠BAE ≅ ∠DCE
Reason 6: alt. interior angles theorem
Statement 7: ∠ABE ≅ ∠CDE
Reason 7: alt. interior angles theorem
Statement 8: ΔBAE ≅ ΔDCE
Reason 8: ASA
Statement 9: AE ≅ CE
Reason 9: CPCTC
Statement 10: BE ≅ DE
Reason 10: CPCTC
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