Given :- Calculate 3rd decile and 70th percentile for the following data:
841, 289, 325, 225,784,729, 625,400,324,169 .
Solution :-
arranging data in ascending order we get,
→ 169, 225, 289, 324, 325, 400, 625, 729, 784, 841 .
N = 10 terms
now,
→ Di = {(N + 1) * i} / 10
→ D3 = {(10 + 1) * 3} / 10
→ D3 = 11 * 3/10
→ D3 = 3.3 th term
→ D3 = 3rd term + 0.3(4th term - 3rd term)
→ D3 = 289 + 0.3(324 - 289)
→ D3 = 289 + 0.3 * 35
→ D3 = 289 + 10.5
→ D3 = 299.5
now, 70th percentile :-
→ k = 70/100 = 0.7
so,
→ p(70) = 0.7 * 10 = 7th term = 625 (Ans.)
Learn more :-
find D8 and P85 for the following data 79,82,36,38,51,72,68,70,64,63
5) The daily wages in Rs.) of 15 labourers are as follows:
230, 400, 350, 200, 250, 380, 210, 225, 375, 180, 375, 450, 3...
Step-by-step explanation:
hi Kavya nice to meet you myself Ananya nitin best friend this is my new id annipatna and my old id is jitphulwari hi nice to meet you
4 Dora has ó pint of strawberries and 1 pint of raspberries. How many pints of
berries does she have altogether?
Answer:
7/10 is the answers for the question
Step-by-step explanation:
please give me brainlest and follow me
Find the measure of each exterior angle for a regular octagon. Round to the nearest tenth if necessary.
Answer:
I guess it is 45°
Step-by-step explanation:
Hope it helps!!!!
Answer:
45°
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
a regular octagon has 8 equal exterior angles , then
exterior angle = 360° ÷ 8 = 45°
q + (−2) for q = −15 .
Answer:
Step-by-step explanation:
-15 + (-2) = -17
Answer: -17
Find the value of each variable
The missing sides of the special right triangles are listed below:
Case 1: y = √2 · 13, x = 13
Case 2: x = y = 15√2
Case 3: x = 6, y = 3√3
Case 4: x = 17√3, y = 17
Case 5: x = y = 10
Case 6: x = 50, y = 25
Case 7: x = y = 4√7
Case 8: x = 16√3, y = 8√3
Case 9: x = 11√3, y = 33
Case 10: x = 3√2, y = 2√6
Case 11: x = √10, y = 2√5
Case 12: x = 4√7, y = 8√21
How to find the length of missing sides
Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:
45 - 90 - 45 Right triangle
r = √2 · x = √2 · y
30 - 60 - 90 Right triangle
x = (1 / 2) · r
y = (√3 / 2) · r = √3 · x
Where:
x - Shortest leg.y - Longest leg. r - Hypotenuse.Case 1
y = √2 · 13
x = 13
Case 2
x = y = 15√2
Case 3
x = 3 / (1 / 2)
x = 6
y = 3√3
Case 4
x = 34 · (√3 / 2)
x = 17√3
y = 34 · (1 / 2)
y = 17
Case 5
x = y = 10
Case 6
x = 25√3 / (√3 / 2)
x = 50
y = 25√3 / √3
y = 25
Case 7
x = y = 2√14 · √2 = 2√28 = 4√7
Case 8
x = 24 / (√3 / 2)
x = 48 / √3
x = 16√3
y = 24 / √3
y = 8√3
Case 9
x = 22√3 · (1 / 2)
x = 11√3
y = 22√3 · (√3 / 2)
y = 33
Case 10
x = √18
x = 3√2
y = √6 / (1 / 2)
y = 2√6
Case 11
x = √10
y = √20
y = 2√5
Case 12
x = 4√21 / √3
x = 4√7
y = 4√21 / (1 / 2)
y = 8√21
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Which of the following defines workplace politics?
O Choices made according to law
O Beliefs of a person or social group in which they have an emotional investment
O Games played in a workplace environment to achieve status, advancement and money
O Professional standards of conduct, based on moral principles and values, guilding decision-making and actions
Answer:
"Games played in a workplace environment to achieve status, advancement and money"
If we express $3x^2 - 6x - 2$ in the form $a(x - h)^2 + k$, then what is $a + h + k$?
If we express \(3x^2-6x-2\) in the form \(a(x-h)^2+k\), then a + h + k = -1
The given quadratic expression is:
\(3x^2-6x-2\)
To express \(3x^2-6x-2\) in the form \(a(x-h)^2+k\), follow the steps below
Rewrite \(3x^2-6x-2\) as \(3x^2-6x+3-5\)
Factorize common terms
\(3(x^2-2x+1)-5\)
This can be further simplified as:
\(3(x-1)^2-5\)
Therefore, the vertex form of the equation \(3x^2-6x-2\) is \(3(x-1)^2-5\)
Compare \(3(x-1)^2-5\) with \(a(x-h)^2+k\)
a = 3, h = 1, k = -5
a + h + k = 3 + 1 - 5
a + h + k = -1
Therefore if we express \(3x^2-6x-2\) in the form \(a(x-h)^2+k\), then a + h + k = -1
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Subtracting the same number from each side of an equation always gives an equivalent equation. true false (b) multiplying each side of an equation by the same non-zero number always gives an equivalent equation. true false (c) squaring each side of an equation always gives an equivalent equation. true false
So, subtracting the same number, multiplying each side by the same non-zero number, and squaring each side of an equation will always give you an equivalent equation.
(a) Subtracting the same number from each side of an equation always gives an equivalent equation. True.
When you subtract the same number from both sides of an equation, you are essentially balancing the equation. This means that whatever you do to one side, you must also do to the other side in order to maintain equality.
For example, let's say we have the equation:
2x + 5 = 10
If we subtract 5 from both sides, we get:
2x = 5
The equation is still equivalent because we subtracted the same number from both sides, maintaining the balance.
(b) Multiplying each side of an equation by the same non-zero number always gives an equivalent equation. True.
When you multiply each side of an equation by the same non-zero number, you are again maintaining the balance between the two sides of the equation.
For example, let's say we have the equation:
3x = 9
If we multiply both sides by 2, we get:
6x = 18
The equation is still equivalent because we multiplied both sides by the same non-zero number, maintaining the balance.
(c) Squaring each side of an equation always gives an equivalent equation. True.
When you square each side of an equation, you are applying the squaring operation to both sides. This operation maintains the equality between the two sides.
For example, let's say we have the equation:
2x = 4
If we square both sides, we get:
(2x)^2 = 4^2
4x^2 = 16
The equation is still equivalent because we squared both sides, maintaining the balance.
In summary, subtracting the same number, multiplying each side by the same non-zero number, and squaring each side of an equation will always give you an equivalent equation.
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Question 5 points)
Determine if the two triangles shown are similar. If so, write the similarity statement.
A) ASUD - ATUE
B) ASUD - AEUT
C) Impossible to determine.
D) The triangles are not similar
triangles are not similar
Answer:
The triangles are not similar
Step-by-step explanation:
cuz it ain't duhhhhh
How much will a car purchased in 2014 for $35, 750 be worth in 2022, if it is depreciated at 10.5% each year?
Please explain and include all of the steps.
The car that cost $\($35750\) in \(2014\) will be valued $\(14,919.48\) in \(2022\) if the annual depreciation rate is \(10.5%\)%
What do you mean by depreciation rate ?The depreciation rate is the percentage at which an object depreciates over its anticipated useful life.
It can also be described as the portion of an organization's long-term investment in an asset that the organization claims as a tax-deductible expenditure over the course of the asset's useful life.
Given.
Value for the \(1\)st Year (\(2014-2015\)) is $ \($35,750\) -$(\(350,750*10.5\)%) =
$\(31,981.25\)
Value for \(2 years\) \((2015-2016)\) =$\(31,981.25-(\)$\(31,981.25*10.5\)%) =
$\(28,604.41\)
Value for \(8 years\) ($\(16550.09\) -$\(16550.09*10.5\)%) = $\(14919.48\)
Therefore the car that cost $\($35750\) in \(2014\) will be valued $\(14,919.48\) in \(2022\) if the annual depreciation rate is \(10.5%\)%
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Show that w is in the subspace of R4 spanned by V1, V2, and V3, where these vectors are defined as follows. 1 -4 -9 -4 6 3 5 W= -2 - 1 - 1 -2 4 11 -8 - 15 To show that w is in the subspace, express was a linear combination of V1, V2, and V3. Select the correct answer below and, if necessary, fill in any answer boxes to complete your choice. O A. The vector w is in the subspace spanned by V1, V2, and V3. It is given by the formula w= (v1+ 2+ 3. (Simplify your answers. Type integers or fractions.) B. The vector w is not in the subspace spanned by V1, V2, and V3.
To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:
w = c1V1 + c2V2 + c3V3
We can write this as a matrix equation:
| 1 -4 -9 -4 | | c1 | | -2 |
| 6 3 5 1 | x | c2 | = | -1 |
| 2 4 11 -8 | | c3 | | -1 |
| -15 7 22 -14 | | -2 |
We can solve this system of equations using row reduction:
| 1 -4 -9 -4 | | c1 | | -2 |
| 6 3 5 1 | x | c2 | = | -1 |
| 2 4 11 -8 | | c3 | | -1 |
| -15 7 22 -14 | | -2 |
R2 = R2 - 6R1
R3 = R3 - 2R1
R4 = R4 + 15R1
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 12 29 -16 | | c3 | | 3 |
| 0 -23 67 -59 | | -32 |
R4 = R4 + 23R2
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 12 29 -16 | | c3 | | 3 |
| 0 0 174 -294 | | 225 |
R3 = R3 - (12/27)R2
R4 = (1/174)R4
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 0 -1 22/3 | | c3 | | -13/3 |
| 0 0 1 -98/87 | | 25/58 |
R1 = R1 + 4R3
R2 = R2 - 59R3
R4 = R4 + (98/87)R3
| 1 0 -13 -10/3 | | c1 | | 21/29 |
| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |
| 0 0 1 -98/87 | | c3 | | 25/58 |
| 0 0 0 1390/2391 | | 1009/2391 |
R1 = R1 + (13/1390)R4
R2 = (1/27)R2
R3 = R3 + (98/1390)R4
| 1
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NEED ANSWER ASAP
10 points
You owe $25 on your credit card. You make a $5 payment and then
purchase $8 worth of clothes at Dillards. What is the integer that
represents the balance owed on the credit card?
Answer:
$12
Step-by-step explanation:
$25 on credit card - $5 payment - $8 clothes = what's left on the card
25 - 5 = 20
20 - 8 = 12
there's $12 dollars left on that credit of yours
3-y divided 5/8;y=3/7
Answer:
\( \frac{144}{35} \)
Step-by-step explanation:
\(3 - \frac{3}{7} \div \frac{5}{8} \)
\( \frac{18}{7} \div \frac{5}{8} \)
\( \frac{144}{ 35} \)
if log75 = 0.83 then log57 =
The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.
We can use the logarithm properties to find the value of log57 given that log75 is 0.83.
One of the logarithm properties states that:
log(a * b) = log(a) + log(b)
Using this property, we can express log57 in terms of log75:
log57 = log(5 * 3 * 19)
Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:
log57 = log(5 * 3 * 19)
log57 = log5 + log3 + log19
However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.
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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.
To find log57 using the given information log75 = 0.83, we can use the change of base formula:
if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c
Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).
We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,
so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83
Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now
we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510
Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.
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Gustavo is in a contest where he will win one of four possible prizes. he creates a four-part spinner to represent the four prizes that he has an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. he spins the spinner several times to demonstrate the likelihood of winning a certain prize. what is true about gustavo’s method of data collection and his data on the possible prizes?
Answer:
Gustavo used a simulation where the data is quantitative’
There are 17 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a five person couch?
The number of ways the 17 guests can arrange themselves on a five-person couch can be determined using the concept of permutations.
To calculate the number of ways the guests can arrange themselves on the couch, we can consider each seat on the couch as a position to be filled by a guest.
Since the couch can accommodate only five guests, we need to select five guests out of the 17 available. The order in which the guests sit matters because different arrangements result in different seating configurations.
The number of ways to select five guests out of 17 can be calculated using the formula for combinations, which is denoted as "n choose r" or nCr. In this case, we need to calculate 17C5.
Using the formula for combinations, we have:
17C5 = 17! / (5!(17-5)!)
= 17! / (5!12!)
= (17 * 16 * 15 * 14 * 13) / (5 * 4 * 3 * 2 * 1)
= 6188
Therefore, there are 6188 ways in which the 17 guests can arrange themselves on the five-person couch.
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What is the value of 10x when 7x – 7 = 14?
Answer:
10x = 30
Step-by-step explanation:
We have 7x - 7 = 14.
Add 7 on both sides: 7x = 21
Divide 7 on both sides: x=3
So 10x is 10*3 = 30
how many solutions to x^2 =-16
Answer:
no real solutions
Step-by-step explanation:
Find the equation of the circle whose center and radius are given.
center ( -2, -5), radius = 1
Answer:
(x + 2)^2 + (y + 5)^2 = 1
Step-by-step explanation:
Since this circle is centered at (-2, -5), we have to add values within the squares. The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
So -2 is h and -5 is k. Substituting that in we get:
(x + 2)^2 + (y + 5)^2 = r^2
We are given the radius is 1, and one squared is one, so the final equation is:
(x + 2)^2 + (y + 5)^2 = 1
Evaluate the function f(x) = 4x-6 at the given values of the independent variable and simplify
In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.
What is function?In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.
Here,
To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.
For example:
f(0) = 4(0) - 6 = -6
f(1) = 4(1) - 6 = -2
f(2) = 4(2) - 6 = 2
f(-1) = 4(-1) - 6 = -10
f(3a) = 4(3a) - 6 = 12a - 6
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Ben said: For every $60 the sixth graders plan to raise, the seventh graders
plan to raise $90. He looks at the principal's thermometers and sees that
$60 is at the same place on the sixth-grade thermometer as $90 is on
the seventh-grade thermometer.
Ben also makes the claim: For every $30 the sixth graders plan to raise,
the seventh graders plan to raise $45.
Do you agree with this claim? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
for every 60 is 90 right so if you take 30 ( half of 60) how much are the 7th graders gonna raise half of 90 is 45 (may I please have brainliest I need it to rank up)
The theory of punctuated equilibrium is based on the observation that a. Long periods of intense speciation alternate with long brief periods of stasis. B. New species appear in the fossil record alongside their unchanged ancestors. C. Change does not occur over time. D. Evolutionary change occurs at a constant pace
The theory of punctuated equilibrium is based on the observation that A) Long periods of intense speciation alternate with long brief periods of stasis.What is the punctuated equilibrium?
The punctuated equilibrium is a theory in evolutionary biology that posits that species tend to remain stable for long periods of time. This theory, in particular, challenges the traditional view that evolutionary change occurs continuously and gradually over time. Instead, it suggests that species change very little over long periods of time punctuated by brief bursts of rapid change.Based on the observation that long periods of intense speciation alternate with long brief periods of stasis, the theory of punctuated equilibrium is a paradigm-shifting theory in the study of evolutionary biology. It has also helped paleontologists, who rely on fossil records, better understand how species evolve over time.
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Table of values are provided for functions f(x) = |x| and g(x) = -|x +2|+3.
Complete the table of values for the missing values of g(x).
Answer:
for answer to be 2
mod of x +2 should be equal to 1
so the answer will be x = -3 or -1
for x = 1 we will get gx 0
for g(x) = -2 mod x +2 should be equal to 5
so x is -7 or 3
The total surface area of this triangular pyramid is_____?
help asap
Answer: 208 in^2
Step-by-step explanation:
find the surface area of the square base
8(8)=64
find the surface area of the 4 triangular lateral faces
SA=4(bh÷2)
4(8 x 9 ÷2)
4(36)=144
add the surface area of the square base and lateral faces
64+144=208
Determine the magnitude.
Answer: 13.5, 44.3
Step-by-step explanation:
You need to break up in to x and y parts of vector, then put back together.
uy=8sin50 =6.13
ux=8cos50=5.14
vy=6sin40=3.86
vx=6cos40=4.60
add x and y's
||u+v||=<9.99, 9.74> = 13.5
tan∅=9.74/9.99
∅=44.3
A website sells Bolga baskets for $42 each. The expression 42b represents the total price buying b baskets.
What do the parts of the park expression 42b represent?
In the expression 42b, b represents the ?
and 42 represents the ?
Answer: b represents the variable and 42 represents the coefficent.
Step-by-step explanation:
The required the parts of the park expression 42b represent
the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
Bolga baskets= $42
The expression 42b represents the total price buying b baskets.
According to given question we have
The given statement is
Let the number of bolga basket be b
So, the total price of the bolga basket =42b
The cost of each bolga basket is $42
Therefore, the required the parts of the park expression 42b represent
the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.
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A system of linear equations is given by the graph.
What is the system shown?
O
O
A. y=x
y=-3x - 5
B. y=-x
y =
C. y =
x - 5
x
y=-2 - 5
D. y=-x
y = x - 5
The system of equations is,
y = 2/3(x) and y = (-3/4)x -5.
The correct option is A.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Two lines are intersecting each other.
Line 1 passes through two points (0, 0) and (3, 2).
The equation of the line is,
y = 2/3(x)
And line 2 passes through (0, -5) and (4, -2).
The equation of the line is,
y = (-3/4)x -5.
Therefore, the equations are y = 2/3(x) and y = (-3/4)x -5.
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Please help me! I’m struggling so much: x-3y=3 2x+9y=11 (please find x and y plot points ill give brainliest!!)
Answer:
CORRECT AMONDO
Step-by-step explanation:
Answer:
Rearrange [1] to get an expression for
x
[
3
]
XXXXX
x
=
3
+
3
y
Substitute the expression for
x
from [3] into [2]
[
4
]
XXXXX
2
(
3
+
3
y
)
+
9
y
=
11
Simplify
[
5
]
XXXXX
6
+
6
y
+
9
y
=
11
[
6
]
XXXXX
15
y
=
5
[
7
]
XXXXX
y
=
1
3
Substitute the value of
y
from [7] into [1]
[
8
]
XXXXX
x
−
3
(
1
3
)
=
3
Simplify
[
9
]
XXXXX
x
=
4
The solution is
(
x
,
y
)
=
(
4
,
1
3
)
Step-by-step explanation:
Whenever a sampled population is normally distributed or whenever the conditions of the central limit theorem are fulfilled, the sample mean is a(n):
Whenever a sampled population is normally distributed or whenever the conditions of the central limit theorem are fulfilled.
The sample mean is a normally distributed random variable with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.
Whenever a sampled population is normally distributed or whenever the conditions of the central limit theorem are fulfilled, the sample mean is an unbiased estimator of the population mean. This means that the sample mean is a reliable and accurate representation of the true population mean under these conditions.
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Secant TP and tangent TR intersect at point T Chord SR and chord PO intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
A
x=2
y=4
B. x= 11.6
y = 11.6
C.
X = 11.6
y = 232
D. x = 18.3
y=36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
\(TQ$ X TP=TR^2\)
\(10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6\)
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall: x=11.6
2y=4 X 11.6
2y=46.4
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
The correct option is C
Can you tell me the answer to (−7c+8d)0.6
Answer:
-4.2c+4.8d
Step-by-step explanation:
(−7c+8d)0.6
Distribute
-7c*.6 + 8d * .6
-4.2c+4.8d
Answer:
-4.2c + 4.8d
Step-by-step explanation:
We would like to distribute the 0.6 in the expression (-7c + 8d) * 0.6.
Remember that when distributing, we multiply the "outside number" (0.6 in this case) by each of the "inside numbers" (-7c and 8d) and then add those products.
So, the first product will be: 0.6 * (-7c) = -4.2c. The second product will be: 0.6 * 8d = 4.8d. Add these together: -4.2c + 4.8d.
The answer is thus -4.2c + 4.8d.
~ an aesthetics lover