The solution of the linear equation −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
−2.4(m − 2/3) = −9
Simplify the equation, then we have
−2.4(m − 2/3) = −9
m - 2/3 = 9/2.4
m - 2/3 = 15/4
m = 15/4 + 2/3
m = 53 / 12
m = 4 ⁵/₁₂
The arrangement of the straight condition −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.
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how do I solve −6n − 2n = 16
Answer:
n= -2
Step-by-step explanation:
Combine like terms, after divide both sides of the equation by the same term, then simplify.
Hope this helps.
Pablo follows the Delta Property for deals with prospects between $1000 and $1000 and he prefers more money to less. His certain equivalent is $300 for a deal with a 0.8 chance at $500 and a 0.2 chance at $100. If x is measured in dollars, which following u-curves are consistent with Pablo's preferences? a) u(x) = 10 - 10 x4 -X/200 b) u(x) = 1 – 0.25 --x/200 C) u(x) = 5 – 2x4+x/300 d) u(x) = 0.25 **/200
The utility function u(x) = 0.25**(x/200) is consistent with Pablo's preferences.
To determine which utility function, represented by u(x), is consistent with Pablo's preferences, we need to compare the utility values for different prospects.
Pablo's certain equivalent for a deal with a 0.8 chance at $500 and a 0.2 chance at $100 is $300. We can calculate the expected value of this prospect:
Expected value = (0.8 * $500) + (0.2 * $100) = $400 + $20 = $420
Now let's evaluate the utility values for the given utility functions and compare them to $300 and $420.
a) u(x) = 10 - 10x^4 - x/200
If we substitute x = $420 into this utility function, we get:
u($420) = 10 - 10($420)^4 - $420/200 ≈ -1.06 x 10^18
b) u(x) = 1 - 0.25 - x/200
If we substitute x = $420 into this utility function, we get:
u($420) = 1 - 0.25 - $420/200 = 1 - 0.25 - 2.1 ≈ -1.35
c) u(x) = 5 - 2x^4 + x/300
If we substitute x = $420 into this utility function, e get:
u($420) = 5 - 2($420)^4 + $420/300 ≈ -1.59 x 10^16
d) u(x) = 0.25**(x/200)
If we substitute x = $420 into this utility function, we get:
u($420) = 0.25**(420/200) ≈ 0.063
Comparing the utility values to Pablo's certain equivalent ($300) and the expected value ($420), we find that option d) u(x) = 0.25**(x/200) is consistent with Pablo's preferences, as it yields a utility value (0.063) closer to the expected value than the others.
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Evaluate
F(7) when f(x)=10x+3
Step-by-step explanation:
f(x) = 10x + 3
Then
f(7) = 10 * 7 + 3 = 70 + 3 = 73
Hope it will help :)
To solve -3 = -19 + , what steps would you use?
_________19
___________ 5
Answer:
16
Step-by-step explanation:
you need to first find out what number goes behind -19 and to do this you have to do -19 plus 16 because this equals -3 now your done
among american women aged 20 to 29 years, 10% are less than 60.8 inches tall, 80% are between 60.8 and 67.6 inches tall, and 10% are more than 67.6 inches tall.17 assuming that the height distribution can ade- quately be approximated by a normal curve, find the mean and standard deviation of the distribution
Answer:
mean height is approximately 64.2standard deviation is approximately 3.4 inchesStep-by-step explanation:
Since the distribution is approximately normal, we can use the empirical rule to estimate the mean and standard deviation.
According to the empirical rule:
Approximately 68% of the data falls within 1 standard deviation of the mean
Approximately 95% of the data falls within 2 standard deviations of the mean
Approximately 99.7% of the data falls within 3 standard deviations of the mean
From the information given in the problem, we know that:
10% of women are less than 60.8 inches tall
10% of women are more than 67.6 inches tall
So, we can estimate the mean height as the midpoint between 60.8 and 67.6:
mean = (60.8 + 67.6) / 2 = 64.2 inches
We also know that 80% of women are between 60.8 and 67.6 inches tall. Since this is approximately 1 standard deviation from the mean (on either side), we can estimate the standard deviation as:
standard deviation = (67.6 - 64.2) / 1 = 3.4 inches
Therefore, the mean height is approximately 64.2 inches and the standard deviation is approximately 3.4 inches.
An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following result was obtained. Did Well on Midterm Did Poorly on Midterm Studying for Exam 80 20 Went Bar Hopping 30 70
What is the probability that a randomly selected student did well on the midterm and also went bar hopping the weekend before the midterm?
What is the probability that a randomly selected student did well on the midterm or went bar hopping the weekend before the midterm?
What is the probability that a randomly selected student who went bar hopping did well on the midterm?
What is the probability that a randomly selected student went bar hopping?
What is the probability that a randomly selected student did well on the midterm?
Let A be the event that a student did well on the midterm, and B be the event that a student went bar hopping the weekend before the midterm.What is the probability that a randomly selected student did well on the midterm and also went bar hopping the weekend before the midterm.
The probability that a student did well on the midterm and also went bar hopping the weekend before the midterm is given by:P(A ∩ B) = 30/200 = 0.15What is the probability that a randomly selected student did well on the midterm or went bar hopping the weekend before the midterm? The probability that a student did well on the midterm or went bar hopping the weekend before the midterm is given by:P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = (80/200) + (30/200) - (30/200) = 0.55What is the probability that a randomly selected student who went bar hopping did well on the midterm.
The probability that a randomly selected student who went bar hopping did well on the midterm is given by:P(A | B) = P(A ∩ B) / P(B) = 0.15 / 0.30 = 0.5What is the probability that a randomly selected student went bar hopping?The probability that a randomly selected student went bar hopping is given by:P(B) = (30+70)/200 = 0.5What is the probability that a randomly selected student did well on the midterm?The probability that a randomly selected student did well on the midterm is given by:P(A) = 80/200 = 0.4
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Dog breeds 2238 pages in seven hours he reads the same number of pages each hour how many pages did he read in one hour
Answer:
319 pages and a half
Step-by-step explanation:
A rectangle has a perimeter of 30 inches. One side measures 5 inches. What are the measures of the other three sides?
Answer: the other side has to be five since they are the same which will equal to 10 so that means the other two sides should be 10 each
How do you do this question?
The coordinates of point C are (x, y) = (9, 8).
How to find the location of the coordinates of a point within a system of four triangles
In this case we need to determine the coordinates of point C based on the dimensions of each block. These dimensions can be determined by solving the following equations:
2 · x - y = 11 - 3
y + 2 · x = 20 - 4
2 · x - 16 + 2 · x = 8
4 · x - 16 = 8
4 · x = 24
x = 6
y = 2 · x - 8
y = 2 · 6 - 8
y = 12 - 8
y = 4
Finally, we determine the coordinates of point C:
X = 3 + x = 9
Y = 4 + y = 8
The point C has the following coordinates: (x, y) = (9, 8).
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2z - 2 <= - 8 Step 1 of 2: Write the solution using interval notation
Given the following inequality:
\(2z-2\leqslant-8\)We will solve the inequality as follows:
First, add 2 to both sides
\(\begin{gathered} 2z-2+2\leqslant-8+2 \\ 2z\operatorname{\leqslant}-6 \end{gathered}\)Second, divide both sides by 2
\(\begin{gathered} \frac{2z}{2}\operatorname{\leqslant}\frac{-6}{2} \\ \\ z\operatorname{\leqslant}-3 \end{gathered}\)So, the answer will be, the solution using interval notation is as follows:
\((-\infty,-3]\)What Do You Get When You Cross A Computer With
A Freezer?
Answer: You'll most likely get a computer that freezes all the time.
Or you will get some cold, data and facts
Step-by-step explanation: ..
The lengths of the sides of a triangle are 9, 12, and 18. Classify the triangle as acute, right, or obtuse.
Answer:
Step-by-step explanation:
Use Pythagorean theorem.
Assign the largest value to 'c'
If a² + b² = c² , then it is right triangle
If a² + b² > c², then it si acute triangle
If a² + b² < c² , then it is obtuse triangle
Here, a = 9 , b = 12 & c = 18
a² + b² = 9² + 12²
= 81 + 144
a² + b² = 225
c² = 18²
c² = 324
a² + b² < c²
225 < 324
So, 9, 12 , 18 form a obtuse triangle
v=<8,3,5>
w=<2,2,2>
Find the cosine of the angle between v and w
If v=<8,3,5> w=<2,2,2>, the cosine of the angle between vectors v and w is approximately 0.93294.
To find the cosine of the angle between vectors v and w, we will use the formula:
cos(θ) = (v • w) / (||v|| ||w||)
where θ is the angle between the vectors, v • w is the dot product of v and w, and ||v|| and ||w|| are the magnitudes of v and w, respectively.
First, let's find the dot product (v • w):
v • w = (8 * 2) + (3 * 2) + (5 * 2) = 16 + 6 + 10 = 32
Next, let's find the magnitudes of v and w:
||v|| = √(\(8^2 + 3^2 + 5^2\)) = √(64 + 9 + 25) = √98
||w|| = √(\(2^2 + 2^2 + 2^2\)) = √(4 + 4 + 4) = √12
Now, let's find the cosine of the angle between v and w:
cos(θ) = (32) / (√98 * √12) = 32 / (9.899494936611665 * 3.4641016151377544) ≈ 0.93294
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The cosine of the angle between v and w is 0.9332
To find the cosine of the angle between v and w, we can use the formula:
cos(Ф) = (v.w) / (||v|| ||w||)
where Ф is the angle between v and w, the . represents the dot product, and || || represents the magnitude or length. First, let's calculate the dot product of v and w:
v.w = 8*2 + 3*2 + 5*2 = 32
Next, let's calculate the magnitudes of v and w:
||v|| = sqrt(8^2 + 3^2 + 5^2) = sqrt(98)
||w|| = sqrt(2^2 + 2^2 + 2^2) = sqrt(12)
Now we can substitute these values into the formula:
cos(Ф) = (v.w) / (||v|| ||w||)
cos(Ф) = 32 / (sqrt(98) * sqrt(12))
cos(Ф)= 32 / (sqrt(1176))
cos(Ф) = 32 / 34.29
cos(Ф)= 0.9332
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The sum of three consecutive even integers is 36. What is the second integers?
let the consecutive even integers be 2x , 2x + 2 and 2x + 4
let's solve for values of the integers :
\(2x + 2x + 2 + 2x + 4 = 36\)\(6x + 6 = 36\)\(6x = 36 - 6\)\(x = \dfrac{30}{6} \)\(x = 5\)therefore, the consecutive even integers are :
\(2x = 2 \times 5 = 10\)\(2x + 2 = 10 + 2 = 12\)\(2x + 4 = 10 + 4 = 14\)I hope it helped...
Set up an integral that represents the length of the parametric curve x=4+3t2,y=1+2t3,0≤t≤2.
To find the length of a parametric curve, we use the arc length formula. The formula to find the length of a curve defined parametrically by x = f (t) and y = g (t) is given as:\($$L=\int_{a}^{b}\sqrt{[f'(t)]^2+[g'(t)]^2}dt$$\)
where L is the length of the curve, and a and b are the initial and final values of the parameter t, respectively.For the given parametric curve, we have\(x = 4 + 3t^2 and y = 1 + 2t^3 where 0 ≤ t ≤ 2\).We know that the arc length formula is given as:\($$L=\int_{a}^{b}\sqrt{[f'(t)]^2+[g'(t)]^2}dt$$\)We need to evaluate this integral for our given parametric equations. Firstly, we will find the first derivatives of x and y by using the power rule of differentiation.
Therefore,\($$\frac{dx}{dt} = 6t$$and $$\frac{dy}{dt} = 6t^2.$$\)Using these, we can write the integrand of the arc length formula as:\($$\sqrt{[f'(t)]^2+[g'(t)]^2} = \sqrt{(6t)^2 + (6t^2)^2}$$\)Therefore, the length of the curve is given by:\($$L = \int_{0}^{2} \sqrt{(6t)^2 + (6t^2)^2}dt$$$$L = \int_{0}^{2} \sqrt{36t^2 + 36t^4}dt$$$$L = 6\int_{0}^{2} t\sqrt{1 + t^2}dt$$\)Using the substitution method by taking\($$u = 1 + t^2,$$we get:$$du = 2tdt$$$$dt = \frac{du}{2t}$$$$L = 6\int_{1}^{5} \sqrt{u} du$$$$L = 6[\frac{u^{3/2}}{3/2}]_{1}^{5}$$$$L = 4[5\sqrt{5} - 2\sqrt{2}]$$\)Therefore, the length of the given parametric curve is \(4(5√5 − 2√2) .\)
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free brailiest what is 2+2+5
Answer:
the answer is 9!!!!!!
Step-by-step explanation:
hoped I helped:)
Answer:
Your answer would be 9.
------------------------------------------
2+2=4
4+5=9
Step-by-step explanation:
PureBeauty </3
Select the correct answer.
What is the sum of the first 30 terms of this arithmetic sequence?
6, 13, 20, 27, 34, ...
OA 3,225
OB. 3,255
OC. 3,325
OD. 3,525
Answer:
the answer is A. 3225
Step-by-step explanation:
S₃₀ = 30/2 [ 2 x 6 + (30 - 1) x 7 ]
15 [ 12 + 29 x 7 ]
15 [ 12 + 203 ]
15 x 215
=3225
Write the standard form of the equation of the horizontal and vertical lines that pass through the point (-7,5)
HELPP ASAP PLEASE
Answer:
A horizontal line has a gradient = 0 and only has a y-intercept.
In the standard form this would mean that
m =0, and c =5 So, y = 5
Step-by-step explanation:
The five-number summary suggests that about 50\%50%50, percent of sales managers at Force Inc. manage fewer than what number of accounts?
Answer:
The median is is the midpoint of the data. This means half is below 50 and half is above 50. The answer would be they handle less than 50 accounts.
Answer:
So 1 is in the middle. 59 has 2 different numbers on both sides.
So your answer is 50
Step-by-step explanation:
35, 45, 50, 65, 85Minimum number is = 35Max number is = 85Medium = 50Q1 = 40Q3 = 75 59 has 2 different numbers on both sides.So the answer is 50.
PLEASE HELP!!!!!! 30 POINTS
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answer:
y+5=2⋅(x+2)
Step-by-step explanation:
There is 100 students in a class 60 take math 40 take physics 10 take none then how many learn both math and physics
Answer: None
Step-by-step explanation: Trick question the total is 110 and none took both math and physics
Three students took 3 different kinds of aptitude tests with the following results: Who has the highest relative score?
Ted and Steph
Steph
Christina
Ted
The student who has the highest relative score among the three students is: Steph.
What is a relative score?A relative score is also referred to as a z-core or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
How to calculate the relative score?In Statistics, the relative score can be calculated by using this formula:
\(z=\frac{x\;-\;u}{\sigma}\)
Where:
x is the sample mean.u is the mean.is the standard deviation.For Ted, the relative score is given by:
z = (74 - 61)/9
z = 1.44
For Christina, the relative score is given by:
z = (192 - 170)/17
z = 1.29
For Steph, the relative score is given by:
z = (324 - 285)/26
z = 1.5
Therefore, Steph has the highest relative score.
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The National Sleep Foundation recommends that teenagers aged 14 to 17 years old get at least 8 hours of sleep per night for proper health and wellness. A statistics class at a large high school suspects that students at their school are getting less than 8 hours of sleep on average. To test their theory, they randomly sample 42 of these students and ask them how many hours of sleep they get per night. The mean from the sample is x-bar=7.5 hours.
Here's their alternative hypothesis:
"The average amount of sleep students at their school get per night is...
What is an appropriate ending to their alternative hypothesis?
answer choices
less than 7.5 hours
less than 8 hours
more than 7.5 hours
more than 8 hours
An appropriate ending to the alternative hypothesis is less than 8 hours. The alternative hypothesis would be: The average amount of sleep students at their school get per night is less than 8 hours.
What is alternative hypothesis?The alternative hypothesis is a statement used in statistical inference experiment which is contradictory to the null hypothesis and denoted by Ha or H1. In hypothesis testing, an alternative hypothesis is a statement that a researcher is testing.
The alternative hypothesis could take one of three forms, depending on the context of the test:
Ha: parameter > value.Ha: parameter < value.Ha: parameter ≠ value.Which alternative hypothesis we use (< or > or ≠) is sometimes called the direction of the test. Which direction we choose depends on the context of the test.
In this case, it is suspected that students at the school are getting less than 8 hours of sleep on average, so that is the alternative hypothesis.
Ha: The average amount of sleep students at their school get per night is less than 8 hours.
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bill is an avid coin collector and belongs to a coin collectors' club, receiving a monthly magazine and invitations to exclusive events. this coin collectors' club is an example of a(n) group. question 26 options: a) comparative b) normative c) membership d) informal e) symbolic
Bill enjoys collecting coins and is a member of a club for coin collectors. This club for coin collectors is an illustration of a(n) membership group.
Given that,
Bill enjoys collecting coins and is a member of a club for coin collectors, which grants him access to events and a monthly magazine. This club for coin collectors is an illustration of a(n) ________ group.
We have to fill the blank.
We know that,
Option- C is correct .
Bill enjoys collecting coins and is a member of a club for coin collectors, which grants him access to events and a monthly magazine. This club for coin collectors is an illustration of a(n) membership group.
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What is the slope of a line perpendicular to the line whose equation is 9x+6y=18
answer:
slope: -2/3
step-by-step explanation:
y=mx+b
m represents the slope, and b the y-intercept.
rearrange: 9x= -6y+18
---> -6y= -9x-18
divide all terms by -6.
-6y/-6= -9/-6x-18/-6
y= 3/2x+3 (slope/intercept form)
m= 3/2
---> 1/3/2= -2/3
Help meeeeeeeeeeeeee
Answer:
36.87( round if needed(
Step-by-step explanation:
we know a side adjacent to the angle and opposite of the angle so we apply tangent function
\( \tan(x) = \frac{3}{4} \)
\( \tan {}^{ - 1} ( \frac{3}{4} ) = 36.87\)
Round if neededd
-8t = 64
Answer:
t = ?
Answer the ? Mark pls
Answer:
t= -8
Step-by-step explanation:
-8t= 64
t= 64/-8= -8
hope it helps! please mark me brainliest..
thank you!! have a good day ahead
Answer:
t = -8
Step-by-step explanation:
Knowing eight times eight equals 64, I knew that is the answer. So, instead of positive eight, it would have to be negative given a negative times a negative equals a positive.
-8 x -8 = 64
I hope this helps!
x² + 13x + 12 factorise
x²+ 12x + 1x + 12
x(x+12) + 1(x+12)
(X+1) (X+12)
Can y’all help me out? t^82=?
Answer:
-1
Step-by-step explanation:
What is the distance between the coordinates (-7, 9) and (-2, -3)?