In a data distribution that is skewed left.
The median will be greater than the mean in a left-skewed distribution
We have,
In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.
A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.
When the data is skewed left, it means that the distribution is being pulled towards the left side.
This is because there are a few extreme values on the left side that are pulling the mean in that direction.
In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.
For a left-skewed distribution,
The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.
In a data distribution that is skewed left, the mean will be less than the median.
This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.
Therefore,
The median will be greater than the mean in a left-skewed distribution
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On January 3, 2004, after a journey of 300 million miles, the rover Spirit landed on Mars and began sending back information to Earth. It landed only six miles from its target. This accuracy is comparable to shooting an arrow at a target fifty feet away and missing the exact center by what distance?
This accuracy is comparable to shooting an arrow at a target fifty feet away and missing the exact center by the distance; 0.000001 miles
How to solve proportion word problems?Proportion word problems are simply ways of expressing proportion problems in words. For example we share oranges among three people each receiving 2, 3 and 4 respectively and as such the ratio of the proportion is 2:3:4.
Now, we are told that after a journey of 300 million miles, the rover Spirit landed on Mars and began sending back information to Earth. It landed only six miles from its target. This is comparable to shooting an arrow at a target fifty feet away and missing the exact center.
Thus, if the comparable distance missed is x, then we can say that;
x/50 = 6/300000000
x = (6 * 50)/300000000
x = 3/3000000
x = 0.000001
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The perimeter of a rectangle is 370 m. The length of the rectangle is 65 m. How wide
is the rectangle?
Answer:
120
Step-by-step explanation:
370m - (65 x 2) = 240
240 divided by 2 = 120
What is the Equivalent expression in standard form: 3x + (2 - 4x)
Five companies have each sent one representative to a competition to pitch their newest business idea to a group of angel investors. The conference has 5 time slots designated for one representative to present their company's idea. How many different ways can the representatives be ordered to present their ideas?
Answer:
120 ways
Step-by-step explanation:
The number of different ways can the representatives be ordered to present their ideas is 120 ways.
Given that, 5 companies have each sent one representative to a competition to pitch their newest business idea to a group of angel investors.
What are Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Using nPr =n!(n-r)! we get
Here, n=5 and r=5
So, P(n, r) = P(5, 5) = 5!(5-5)!
= 5!/1
= 5×4×3×2×1
= 120 ways
Therefore, the number of different ways can the representatives be ordered to present their ideas is 120 ways.
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A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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Help! Explain please I need to know I have a test tomorrow!
\(25 {x}^{2} - 49 {y}^{2} \)
solution:\( {a}^{2} - {b}^{2} = (a + b)(a - b)\)
\(a = 5x\)
\(b = 7y\)
\(25 {x}^{2} - 49 {y}^{2} \)
\( = (5x - 7y) {}^{2} \)
\( = (5x - 7y)(5x + 7y)\)
hence, the correct answer is option B
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
15 pies a m regla de 3
Answer:
5m
Step-by-step explanation:
regla de 3:
1m = 3ft
15 pies ÷ 3 = 5m
Please help me with this math problem that I have how do I solve this problem? Thank you to anyone that wants to help me :)!.
Answer:68
Step-by-step explanation:
You can first subtract 104-36=68 so,68+36=104
Answer:
68
Step-by-step explanation:
You want to know the number of marbles Chloe originally had in her collection if adding 36 marbles gave her a total of 104.
EquationYou can let a variable (o) represent the original number of marbles. You would choose this because the original number of marbles is what you're asked to find. It never hurts to use a variable name that reminds you of what it stands for.
The problem statement tells you that adding 36 to the original number gives a total of 104. As an equation, this looks like ...
o + 36 = 104 . . . . . . adding 36 to o gives 104
SolutionThe properties of equality tell you that you can subtract the same number from both sides of the equation without changing the value of the variable.
Here, we want the variable by itself, so we want to get rid of the added number 36. We do that by subtracting 36 from both sides of the equation:
o +36 -36 = 104 -36 . . . . . subtract 36 from both sides
o = 68 . . . . . . . . . . simplify
This solution tells us that Chloe originally had 68 marbles.
__
Additional comment
The way to solve this, or any, "word problem" is to read and understand the relationships the words are telling you, and what the words are asking for. Then write those relationships as math expressions, choosing variables and a procedure that will give you what the question is asking for.
Here, we could choose a variable that represents the quantity we want to find. That is not always the case.
Sometimes, you have to find an "intermediate" value that you need in order to be able to answer the ultimate question. You're not done when you find that intermediate value; you're only done when you are able to answer the question asked.
Help me please, I’m very confused on what to do
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
A person invest $8800 in an account at 7% interest compounded annually. When will the value of the investment be 13,200? (Type an integer or decimal rounded two decimal places as needed)
Answer:
21.43
Step-by-step explanation:
Turn 7 percent to a decimal: 0.07
8800 × 0.07 = 616
13,200÷616=21.4285 etc
Round two decimal places
21.43
Which of these expressions is equivalent to log (26.35)?
OA. log (26) - log (35)
OB. log (26) + log (35)
OC. log (26) log (35)
●
OD. 26 log (35)
Answer:
log(ab)=loga+logb
•log26.35=log26+log35
B.log26+log35
HELP AS SOON AS POSSIBLE
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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I need to know the percentage of drivers who are at least 45. Using the table in the picture.
The percentage of drivers who are at least 45 is 62%
How to determine the percentage of drivers who are at least 45.From the question, we have the following parameters that can be used in our computation:
The table of values
From the table, we have
Age 45 = 62 percentile
When represented properly
So, we have
Age 45 = 62%
This means that the percentage of drivers who are at least 45 is 62%
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I need help on this calculus practice problem, I’m having trouble on it.
From the question
We are given
\(\lim _{x\to-7}g(x)\)We are to determine if the table below is appropriate for approximating the limit
From the table
The value of the limit as x tends to -7
Can be found using
\(x=-7.001\text{ and x = 7.001}\)Hence, from the values given in the table
The table is appropriate
how can you tell if a function is linear or nonlinear from a table
Angles 1 and 2 are supplementary. Angle 2 measures 50 degrees
MORE THAN angle 1. What is the measure of angle 2?
Answer: 115 degrees
Step-by-step explanation:
Give me the brainliest plz!
Find the number of years the annuity will last if it pays 300 per year.
The number of years the annuity will last if it pays $300 per year is 18 years.
What is an annuity?An annuity is an investment that pays the investor a fixed periodic amount for many years in the future.
The annuity payment may be monthly or yearly, as the case may be.
An online finance calculator can compute the annual payment (annuity).
I/Y (Interest per year) = 7%
PV (Present Value) = $3,000
PMT (Periodic Payment) = $-300
FV (Future Value) = $0
Results:
N = 17.795
Sum of all periodic payments = $-5,338.44
Total Interest $2,338.44
Thus, for an annuity with a present value of $3,000, earning 7% per annum and paying $300 per year will last almost 18 years.
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Question Completion:The present value of an annuity is $3,000 and earns 7% per annum.
Find the number of years the annuity will last if it pays $300 per year.
Benjamin invests money in a bank account which gathers compound interest each year. After 2years there is $658.20 in the account. After 5years there is $710.89 in the account. Work out the annual interest rate of the bank account. Give your answer as a percentage to 1 d.p.
The compound interest rate is 3.9%.
What is the compound interest rate?We know that when we talk about the compound interest, we mean the kind of interest that is going to accrue both on the principal and on the interest.
In this case we know that;
A = P(1 + r)^n
A = amount
P = principal
r = rate
n = number of years
710.89 = 658.20(1 + r)^2
710.89/658.20 = (1 + r)^2
1.08 = (1 + r)^2
ln(1.08) =ln (1 + r)^2
0.077 = 2ln(1 + r)
0.077/2 = ln(1 + r)
ln(1 + r) = 0.0385
1 + r = 1.039
r = 1.039 - 1
r = 0.039
r = 3.9%
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PLS HELP WILL IVE BRAINLIST
Answer:
inches: 0 and 7
Step-by-step explanation:
because you are subtracting by 1
The wholesale price for a shirt is $7.50. A certain department store marks up the wholesale price by 80%. Find the price of the shirt in the
department store.
Round your answer to the nearest cent, as necessary.
Answer:
$13.50.
Step-by-step explanation:
80% = 0.80 as a decimal fraction.
The marked up price
= 7.50 + 0.80 * 7.50
= $13.50.
so the new price will just be 7.5 plus 80% of 7.5
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 7.50}}{\left( \cfrac{80}{100} \right)7.50}\implies 6\hspace{5em}\underset{selling~price}{\stackrel{7.50~~ + ~~6}{13.50}}\)
i'll mark brainliest thanks in advance ·
Answer:
a.8
Step-by-step explanation:
A baseball player had batting average of 0.298 what the probability of him getting exactly 4 out of 10 times he was up at bat
The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.
To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.
The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of getting exactly k hits
n is the total number of trials (in this case, the player's 10 times at bat)
k is the number of successful trials (in this case, 4 hits)
p is the probability of success in a single trial (in this case, the player's batting average, 0.298)
(1 - p) is the probability of failure in a single trial
Plugging in the values:
P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Using the combination formula C(n, k) = n! / (k! * (n - k)!):
P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Calculating the values:
P(X = 4) ≈ 0.161
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PLS SOMEONE HELP!!! DUE TODAY
Answer: I can help!
Step-by-step explanation
Turn all the xs above into 6 then, see if your answer is true and explain.
35%of students wear glasses.There are 14 students who wear glasses.How many pupils are there in the class?
Answer: 40 pupils
Step-by-step explanation:
35 14
------- = --------
100 ?
find the denominator.
multiply 14 and 100:
14 x 100 = 1400
divide 1400 by 35
1400/35 = 40
Therefore there are 40 students
She cools one sample of bacteria to a temp of - 51 degrees C and another to -76 degrees C. What was the temperature difference in the two experiments?
It is 25 C
76 - 51 = 25
15.
The number of calories in a 100-g serving of fruit varies by the type of fruit. A snack consisting of
on serving each of peach, apple, and banana contains 124 calories. A snack consisting of two
servings of peach and one serving of banana contains 160 calories. A snack consisting of one
serving of peach, 2 servings of apple, and two servings of banana contains 188 calories. How
many calories are in a 100-g serving of each type of fruit?
Answer:
A=24, B=40, P=60
Step-by-step explanation:
given:
P+A+B=124
2P+B=160
P+2A+2B=188
___________
P=188-2A-2B
P=124-A-B
188-2A-2B=124-A-B
188-A-B=124
188=124+A+B
A+B=64
___
P+A+B=124
P=60
___
2P+B=160
120+B=160
B=40
___
A+B=64
A=24
___
If we substitute each variable in the three given equations for these values, the equations hold true. Therefore, these are the correct values.