The statistics that always corresponds to the 75th percentile in a distribution include the following: B. Third Quartile.
What is an interquartile range?In Mathematics and Statistics, IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.
Mathematically, interquartile range (IQR) of a data set is the difference between third quartile (Q₃) and the first quartile (Q₁):
IQR = Q₃ - Q₁ = 75th percentile - 25th percentile.
In this context, we can reasonably infer and logically deduce that the 75th percentile in a distribution is always equal to the third quartile.
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26=-12y-9+7y what is this answer
Answer:
\(y = - 7\)
Solving steps:
=> 26=-12y-9+7y
Step 1: Simplify both sides of the equation.
make y the subject of formula
=> 26=−12y+−9+7y
=> 26=(−12y+7y)+(−9)
Combine like terms
=> 26=−5y+−9
=> 26=−5y−9
Step 2: Flip the equation.
=> −5y−9=26
Step 3: Add 9 to both sides.
=> −5y−9+9=26+9
=> −5y=35
Step 4: Divide both sides by -5.
.=> \( \frac{ - 5y}{ - 5} = \frac{35}{ - 5} \)
=> y = - 7
rationalize i)✓2 by✓3
ii)5✓2 by2✓3
iii)15 by ✓5
iv)✓5 by 5✓6
plz solve in notebook
Step-by-step explanation:
\(i) \frac{ \sqrt{2} }{ \sqrt{3} } \)
\( \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } \)
\( \frac{ \sqrt{6} }{3} \)
\(ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } \)
\( \frac{5\sqrt{2} }{ 2\sqrt{3} } \)
\( \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \)
\( \frac{5 \sqrt{6} }{6} \)
\( iii)\frac{15}{ \sqrt{5} } \)
\( \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \)
\( \frac{15 \sqrt{5} }{5} \)
\(3 \sqrt{5} \)
\( iv)\frac{ \sqrt{5} }{5 \sqrt{6} } \)
\( \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \)
\( \frac{ \sqrt{30} }{ 30} \)
3x+2=23
Please show steps on how to do.
Answer:
x = 7
Step-by-step explanation:
3x+2=23
Subtract 2 from each side
3x+2-2 = 23-2
3x = 21
Divide each side by 3
3x/3 = 21/3
x = 7
Answer:
\( \sf \: x = 7\)
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 3x + 2 = 23
Then the value of x will be,
→ 3x + 2 = 23
→ 3x = 23 - 2
→ 3x = 21
→ x = 21 ÷ 3
→ [ x = 7 ]
Hence, the value of x is 7.
pls help and show yor work
Answer:
\(2x + 3x + 1 + 2x - 3 = 40 \\ 7x = 42 \\ x = 6\)
Answer:
D. 10
Step-by-step explanation:
To solve this question, first, find the perimeter of the triangle. Since all the sides add to 40, you can use the equation:
a + b + c = 40
Where a, b, and c are the sides.
2a - 3 + 3a + 1 + 2a = 40
Combine like terms.
2a + 3a + 2a - 3 + 1 = 40
7a - 2 = 40
Add 2 to both sides.
7a = 42
Divide both sides by 7.
a = 6
Now that you know this, find the values of each side.
Side 1:
2a - 3
2(6) - 3
12 - 3
9
Side 2:
3a + 1
3(6) + 1
18 + 1
19
Side 3:
2a
2(6)
12
This means that the longest side is side 2 (19, or 3a + 1) and the shortest side is side 1 (9, or 2a - 3).
To find how much bigger the longest side is than the shortest side, take the difference of the two sides.
19 (longest side) - 9 (shortest side) = 10.
Milan is on the swim team. Each day he swims 850m. How far does he swim in 5 days?
Answer:
4250 m
Step-by-step explanation:
1 day = 850
5 days = 850×5
= 4250
Need help on this please! (Will mark brainliest)
Drag each expression to show if it is equivalent to 25, 52, 2 × 5, or none
Answer:
rag each expression to show whether it is equivalent to 36x + 9, ... 3.2/5. 20. AthenaSinclair. Ambitious. 467 answers. 151.9K people helped ... Lastly,, we will look at the final expression given which is 4(9x + 2). ... (25 votes).
Step-by-step explanation:
◄) Convert:
5 gal 13 c =с
13 c is equal to 48.775 L.
What is equality?Equality in math is a concept that states that two expressions, equations, or values are equal to each other. Equality is symbolized by the equals sign “=.” Equality is a fundamental law of mathematics, and it is used in a variety of contexts and equations. Equality can be used to compare two different objects, or to set a value for a single object. Equality can also be used to determine if two equations are equivalent. Equality is an important concept in mathematics, as it allows us to find solutions to difficult problems.
5 gallons (gal) is equal to 18.925 liters (L). Therefore, 13 c is equal to 48.775 L.
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Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes
Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.
What is a function?
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.
The graph is given below.
From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.
Then the correct option is A.
More about the function link is given below.
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fill in the blank with the correct answer. the number _______is divisibel by 2, 3, 4, 5, and 6
a)44
b)180
c)280
d)385
Answer:
b) 180
Explanation:
\(180 / 2 = 90\\180 / 3 = 60\\180 / 4 = 45\\180 / 5 = 36\\180 / 6 = 30\)
Hope you have a nice day and a nice Thanksgiving!
A brainiliest would also be nice. thx.
Some sources report that the weights of full-term newborn babies in a certain town have a mean of pounds and a standard deviation of pounds and are Normally distributed.
a. What is the probability that one newborn baby will have a weight within pounds of the meanthat is, between and pounds, or within one standard deviation of the mean?
b. What is the probability that the average of babies' weights will be within pounds of the mean; will be between and pounds?
c. Explain the difference between (a) and (b).
the screenshot is below
Answer:
Step-by-step explanation:
A
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
1. A limit imposed by the government on the quantity of a good or product that can be brought into the
country is called a
a. tariff
b. quota
c. foreign bill of exchange
I
d. value added tax
2. Which of the following would not be an effective argument for the U.S. to enact trade restrictions?
Oa
a. they shield U. S. workers from competition by cheap foreign labor
b. they may benefit the security and defense of the nation
c. they help the U.S. maintain diverse industries
Od. they make foreign products cheaper to U.S. shoppers
3. What does it mean if a country is on the gold standard?
O
a. it sets the value of its currency in relation to a specific amount of gold
b. it creates specific standards by which gold is made into jewelry
c. it uses gold instead of paper currency
d. none of these
LICAL
jorgo lovel of income is less
The selling price, s, of an item is s = c + mc, where c is the cost of the item and m is the percent markup based on cost. What is the formula solved for m?
Answer:
Step-by-step explanation: m=s-c/c
What is the domain of the radical function f of x is equal to the square root of the quantity 2 times x squared plus 5 times x minus 12 end quantity
D: [–4, 1.5]
D: [ –4, ∞)
D: (–∞, –4] ∪ [1.5, ∞)
D: (–∞, ∞)
the answer is D: (–∞, –4] ∪ [1.5, ∞)
The domain of a function are the possible input values, the function can take.
The domain of \(f(x) = \sqrt{2x^2 + 5x - 12}\) is: \((-\infty, -4]\ u\ [1.5,\infty)\)
We have:
\(f(x) = \sqrt{2x^2 + 5x - 12}\)
Since f(x) is radical, we simply equate the radicand to 0
So, we have:
\(2x^2 + 5x - 12 = 0\)
Expand
\(2x^2 + 8x - 3x - 12 = 0\)
Factorize
\(2x(x + 4) -3(x + 4) = 0\)
Factor out x + 4
\((2x - 3)(x + 4) = 0\)
Solve for x
\(2x - 3 = 0\) or \(x + 4 = 0\)
\(2x = 3\) or \(x = -4\)
\(x = \frac 32\) or \(x = -4\)
\(x = 1.5\) or \(x = -4\)
-4 is less than 1.5
So, the domain is:
\(x \le -4\) or \(x \ge 1.5\)
Represent as an interval notation
\((-\infty, -4]\ u\ [1.5,\infty)\)
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Answer:
its c
Step-by-step explanation:
A sports team gives away shirts at the stadium. There are 60 large shirts, 1.6 times as many small shirts as large shirts, and
1.5 times as many medium shirts as small shirts. The team wants to divide the shirts into identical groups to be distributed
throughout the stadium. What is the greatest number of groups that can be formed using every shirt?
Answer:90 shirts
Step-by-step explanation: do 1.5 x 1.6 = that answer and + 60 to that answer ok
In ΔVWX, x = 6.4 inches, w = 8.8 inches and ∠W=85°. Find all possible values of ∠X, to the nearest 10th of a degree.
Solve for x in the diagram below
Answer:
X=6
Step-by-step explanation:
5x+(x+54)=90
6x+54=90
6x=36
X=6
The length of the longer leg of a 30 60 90 triangle is 6. The hyp is 9.
State the solution in Simple Root Form:
State the solution to the nearest tenth:
Step-by-step explanation:
there is something severely wrong with the problem definition.
when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.
and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.
it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...
what ?
so, all I can do here is to show you why I said what I said :
30-60-90 triangle with Hypotenuse = 9
then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...
the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5
a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg
9² = 6² + leg²
81 = 36 + leg²
45 = leg²
leg = sqrt(45) = 6.708203932...
so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.
and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.
therefore, there is everything wrong with the problem definition.
A Florida neighborhood is comprised of a total of 250 houses of which 12% are in foreclosure. A random sample of 91 homes from this neighborhood was selected. The standard error of the proportion is ________.
Answer:
the standard error of the proportion is 0.0272
Step-by-step explanation:
We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error :
fpc = \(\sqrt{\frac{N -n}{N -1} }\)
We know that N = 250 n = 91, replacing:
fpc = \(\sqrt{\frac{250 - 91}{250 -1} }\)
fpc = 0.799
Now, the formula would then be:
SE = \(\sqrt{\frac{p * (1 -p)}{n} }\)*fpc
Now replacing, knowing that p = 0.12
SE= \(\sqrt{\frac{0.12 * (1 - 0.12)}{91} }\)*0.799
SE = 0.0272
So the standard error of the proportion is 0.0272
Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$300/week for 9 1/2
years at 5.5%/year compounded weekly
Answer: $227,226.51
Step-by-step explanation:
First, we need to convert the period to weeks.
9 1/2 years = 9.5 years
1 year = 52 weeks
9.5 years = 494 weeks
Next, we can use the formula for the future value of an annuity:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
where:
PMT = payment amount per period
r = annual interest rate
n = number of compounding periods per year
t = number of years
Plugging in the given values:
PMT = $300
r = 0.055 (5.5% expressed as a decimal)
n = 52 (compounded weekly)
t = 9.5 years = 494 weeks
FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)
FV = $227,226.51
Therefore, the future value of the annuity is approximately $227,226.51.
Mr. House wrote 8 tenths minus 5 hundredths on the board. Maggie said the answer is 3 hundredths
because 8 minus 5 is 3. 5 Is she correct? Explain.
Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much
Which graph represents the solution set for the system x + y ≥ 5 and - 3x + 2y ≤-2.
Therefore , the solution of the given problem of inequality comes out to be graph 2 shows the solution for this system.
What does inequality really mean?
In mathematics, an inequality is a linear connection or a collection of numbers even when there is no equal sign. Equity always comes after equilibrium. When two numbers are not equal, inequality exists. Between equality and inequality, there exist differences. The most common symbol was chosen because when parameters aren't the same or comparable (). Values can be compared using a variety of disparities, no matter how few or numerous they are.
Here,
Given :
=> x + y ≥ 5
and
=> - 3x + 2y ≤-2
So,
=> x ≥ 5- y
=> - 3(5- y) + 2y ≤-2
=> -15 + 3y + 2y ≤-2
=> 5y ≤ 13
=> y ≤ 13/5
and
=> x ≥ 5- 13/5
=> x ≥ 12/5
Therefore , the solution of the given problem of inequality comes out to be graph 2 shows the solution for this system.
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-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2
Answer: 60
Step-by-step explanation:
The negatives cancel each other out and you are left with 15 times 4
A
X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C
Answer:
x = 4
Step-by-step explanation:
if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.
DE is such a line , then
\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\) ( substitute values )
\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )
3x = 2(x + 2)
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
Write 5 x 10^6 in standard notation.
Thank you for taking the time to read this!
And I hope you have a good day, Loves!
Also if I'm right can you let me know, please?
Also Also if I am right can I please have Brainliest??
You don't need to, I'm just glad I could help. ^^
(If I did help-)
And don't forget to eat a full meal, and have at least one cup of water today!
The standard notation of the number 5 × 10⁶ would be 50,00,000.
Used the concept of scientific notation that states,
Scientific notation is a way of writing very large or very small numbers.
For example; 230,000,000 can be written in scientific notation as
2.3 x 10⁸.
Given that the number is,
5 × 10⁶
Now it can be written in standard notation,
5 × 10⁶
5 × 10 × 10 × 10 × 10 × 10 × 10
5 × 1000000
50,00,000
Therefore, The standard notation of the number is 50,00,000.
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PLEASE HELPPP!!!!!!!!
Answer:
A
Step-by-step explanation:
If you get that right, follow Sammy Revv on Spotify please
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
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Find an ordered pair (x, y) that is a solution to the equation 6x+y=7