Answer:
x > -5
Step-by-step explanation:
LAST ONE I NEED HELP ON PLEASE
Answer:
A
Step-by-step explanation:
First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.
Plz mark brainliest!!! I spent lot of time on this.
according to the u.s. department of agriculture, the mean yield of corn per acre in the u.s. is 107 bushels with a standard deviation of 15 bushels. suppose 80 one-acre plots of corn are selected at random. (a) what is the probability that the mean yield of the 80 one-acre plots chosen will be between 104 and 111 bushels? (b) what is the probability that the mean yield of the 80 one-acre plots chosen will be greater than 105 bushels? (c) what is the probability that a randomly selected one-acre plot has a yield less than 100 bushels? (2) the average age of millionaires in the us is to be determined. twenty us millionaires are randomly selected to find a mean age of 58.5 years. assume the standard deviation of all us millionaires is 12.8 years. assume the population of ages of us millionaires is normally distributed. find a 95% confidence interval for the mean age of all millionaires. round your answer to 2 decimal places if necessary. interpret your answer in a sentence.
The probability that the mean yield of the 80 one acre plots chosen will be within 2 bushels of the population mean is 0.9332. The assumptions made to answer part (a) are that the population standard deviation is known, the sample is randomly selected, and the sample size is large (n>=30)
a) We can use the central limit theorem to approximate the distribution of the sample mean. The distribution of the sample mean can be approximated as a normal distribution with a mean of 107 bushels and a standard deviation of 12/√80=1.34 bushels. Therefore, we can find the probability that the sample mean falls within 2 bushels of the population mean using the standard normal distribution.
P(105 ≤ X ≤ 109) = P(Z ≤ (109-107)/1.34) - P(Z ≤ (105-107)/1.34)
= P(Z ≤ 1.49) - P(Z ≤ -1.49)
= 0.9319 - 0.0681
= 0.8638
Therefore, there is an 86.38% probability that the mean yield of the 80 one acre plots will be within 2 bushels of the population mean.
b) Assumptions made:
The sample of 80 one acre plots is selected at random.
The one acre plots are independent of each other.
The population standard deviation is known and remains constant.
The distribution of the yield of corn per acre is approximately normal.
The sample size is large enough (n≥30) to apply the central limit theorem.
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Can y’all please help me asappp.!!!
Answer:
See below.
Step-by-step explanation:
Substitute the values for x.
h(-5) = 4(-5) - 5 = -25
h(-1) = 4(-1) - 5 = -9
h(2) = 4(2) - 5 = 3
h(3) = 4(3) - 5 = 7
h(5) = 4(5) - 5 = 15
x+y=16
y=3x=4
find the solution using substitution
Answer: x=3 ; y=13
Step-by-step explanation:
1. isolate y from equation to substitute into the second equation
y= 16-x ---> (16-x) = 3x+4
2. move to one side and solve for x
4x=12 --> x=3
3. plug in x value to solve for y
3+y=16 or 3(3)+4
y=13
what is the equation of y=x^3 with the given transformations
Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.
2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.
3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.
4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.
5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.
6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.
Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
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The ratio of the amount o rice Max has to the amount of rice Victor has to the amount of rice Roman has is 3:2:4, If Victor gives 1/4 of hs rice to Roman, what will the new ratio of the amounts of Max's rice to Victor's rice be
The new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.
Given, that ratio of rice between max, victor and roman
Ratio : A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let the amount of rice that Max, Victor, and Roman have as 3x, 2x, and 4x, respectively.
The total ratio of the amounts of rice is 3+2+4 = 9,
So each "part" of the ratio is 1/9.
If Victor gives 1/4 of his rice to Roman, he will give away
(1/4) × (2x) = 1/2x rice to Roman, and he will be left with
(3/4) × (2x)
= 6/4x
= 3/2x rice.
Roman will receive 1/2x rice from Victor and will have
4x + 1/2x = 9/2x rice in total.
So the new amounts of rice that Max, Victor, and Roman have are 3x, 3/2x, and 9/2x, respectively.
The new ratio of the amounts of rice is (3x):(3/2x):(9/2x).
To simplify this ratio, we can multiply all parts by 2 to get:
6x:3x:9x
And then divide all parts by 3x to get:
2:1:3
Hence, the new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.
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The new ratio of the amount of rice that Max has to the amount that Victor has after Victor gives away 1/4 of his rice to Roman is 2:1.
Explanation:Let's assume the amount of rice Max, Victor, and Roman have are 3x, 2x, and 4x units respectively. Now, if Victor gives 1/4 of his rice to Roman, Victor's amount will decrease by 1/4*2x = 0.5x, therefore, Viktor will have 2x - 0.5x = 1.5x units of rice. So, the new ratio of the amount of rice Max to the amount of rice Victor will be 3x:1.5x or, simplifying, 2:1.
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10. 10 chefs can prepare a
meal for 536 people in
8 hours. Assuming
that the chefs cook at the
same rate and that the rate at which they cook
remains constant throughout the preparation,
find the number of people
22 chefs can prejare
a meal for in 5 hours.
Answer: 22 chefs can prepare meals for 737 people in 5 hours.
Step-by-step explanation:
Given :
10 chefs prepare a meal for 536 people in 8 hrs.It is assumed that chefs cook at the same rate and that rate is constant throughout the preparation.To Find : The number of people 22 chefs can prepare a meal for in 5 hours.
Explaination :
As given, they make a meal for 536 people in 8 hours which means 536 meals in 8 hours,
∴ meals per hour = 536/8
= 67 meals per hour
10 chefs prepare 67 meal per hour, then
meals per chef per hour = 67/10
= 6.7 meals per hour per chef
Now,
meals per 5 hours = 5 hours × meals per hour
= 5 × 6.7
= 33.5 meals per 5 hours
Each chef prepares 33.5 meals in 5 hours
then,
22 chefs make meals in 5 hours = 22 × 33.5
= 737 meals
3|x + 4| + 5 = −13. How do I solve this?
Перечислите все целые числа, расположенные между числами –6,6 и –1,2.
Answer:
-6, -5, -4,-3,-2
Step-by-step explanation:
Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:
-6,-5,-4,-3,-2
What i the length of the midegment of a trapezoid whoe vertical are E(-7,6), F(-2,5)
The length of the midsegment of a trapezoid whoe vertices are E(-7,6), F(-2,5) is 5.1 units
How to determine the length of the midsegment given the two points?From the question, we have the following parameters that can be used in our computation:
E = (-7, 6) and B = (-2, 5)
The length of the midsegment given the two points is the distance between the two points
And this can be calculated using the following distance equation
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (-7, 6) and (-2, 5)
Substitute (x, y) = (-7, 6) and (-2, 5) in distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, we have the following representation
distance = √[(-7 + 2)² + (6 - 5)²]
Evaluate
distance = 5.1
Hence, the length is 5.1 units
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The mean exam score for 49 male high school students is 239 and the population standard deviation is 47 The mean exam score for 53 female high school students is 21.1 and the population standard deviation is 4.3. At α=001, can you reject the claim that male and female high school students ha equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view. page 2 of the standard normal distribution table. A. Male high school students have lower exam scores than female students B. Male and temale high school students have different exam scores. C. Male and female high school students have equal exam scores D. Male high school students have greater exam scores than female students
Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.
To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:
SE = sqrt((s1^2 / n1) + (s2^2 / n2))
Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:
SE = sqrt((47^2 / 49) + (4.3^2 / 53))
Next, we calculate the t-statistic using the formula:
t = (x1 - x2) / SE
Where x1 and x2 are the sample means. Plugging in the values, we have:
t = (239 - 21.1) / SE
We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.
In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.
Therefore, the correct answer is:
B. Male and female high school students have different exam scores.
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What is the reason for statement 3 in this proof?
Answer:
d
Step-by-step explanation:
Answer: E definition of midpoint
Step-by-step explanation:
Correct on Plato
That's driver pays all tall is using only nickels and dimes by throwing one coin at a time into the mechanical toll collector
Since nickel is 5 cents and a dime is 10 cents, the possible tolls that you can pay need to be multiplies of 5 cents.
Let on represent the number of a ways
for the number of different ways the bus
The driver can pay a toll of 5n rent first case.
The first case used in a nickel then there are ways to pay =
57 - 5 = 5 ( 1 - 1 ) cents
The second case: - The coin used is a dime, then
there is a long way to
pay 5n - 10 2 5 ( 1 - 2 ) cents -
Adding the numbers of sequence of all
In three cases, we then obtain
an = an - 1 an +2
Initially, when n 20 there is exactly I way to pay cents ( using no coins )
when an = 1 there is exactly I to way
to pay 5 cents ( using one tickle )
q =f .
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The volume of a rectangular pyramid is 765 units
3
3
. If the length of the rectangular base measures 9 units and the width of the rectangular base measures 15 units, find the height of the pyramid.
The height of the pyramid is equal to 17 units.
How to calculate the volume of a rectangular pyramid?In Mathematics and Geometry, the volume of a rectangular pyramid can be calculated by using the following formula:
Volume of a rectangular pyramid = 1/3 × L × W × H
Where:
L represents the length of a rectangular pyramid.W represents the width of a rectangular pyramid.H represents the height of a rectangular pyramid.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular pyramid, we have the following;
765 = 1/3 × 9 × 15 × H
Height, H = 765/45
Height, H = 17 units.
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put these numbers in order least to greatest 1 1/3, -5/6, 0, -2/3, -1
Answer:
-1, -5/6, -2/3, 0, 1 1/3
Step-by-step explanation:
Answer:
-1, -5/6, -2/3, 0, 1 1/3.
Step-by-step explanation:
1 1/3, -5/6, 0, -2/3, -1
The easiest way is to convert them to decimal fractions first:
= 1.333.... , - 0.8333... , 0, -0.666.... , - 1
So in ascending order they are
-1, -0.833.., -0.666... , 0 , 1.333.....
= -1, -5/6, -2/3, 0, 1 1/3.
what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ \(\frac{2x}{2}\) < \(\frac{0}{2}\)
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
What is the answer
1^32
Answer:
1^32=1
Step-by-step explanation:
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
select the correct answer. which measurement is equivalent to 350 milliliters? a. 3.5 × 102 liters b. 3.5 × 101 liters c. 3.5 × 10–2 liters d. 3.5 × 10–1 liters
The measurement that is equivalent to 350 milliliters is d. 3.5 × 10⁻¹ liters.
Measurements:
Measurements is the concept that is very helpful to measure the quantity of the any object like for solid object we have to use the grams and for liquid one we have to use the liters.
So, it is basically used to define the quantity of the given object.
Given,
Measurement = 350 milliliters.
Here we need to find the equivalent form from the given options.
We know that,
1 liter = 1000 milliliters
Here We are given a quantity of 350 milliliters and we are supposed to convert it into liters.
So, assuming x to be the number of liters equivalent to 350 milliliters, we can write it as:
\(\frac{1liter}{xliter}=\frac{1000}{350}\)
=> x = 350/1000
=> x = 0.35
Which can be written as,
=> x = 3.5 × 10⁻¹ liters
Therefore, 350 milliliters is equal to 3.5 × 10⁻¹ liters.
So, the option (d). 3.5 × 10⁻¹ liters is correct.
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Help and show work please<3
The value of the variable 'x' is 48 degrees. Then the correct option is B.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
In the figure, the side NP is parallel to the side MQ. Then the quadrilateral will be a parallelogram.
We know that the sum of the adjacent angles of the parallelogram will be 180 degrees.
x + 32 + 100 = 180
x = 180 - 132
x = 48
The value of the variable 'x' is 48 degrees. Then the correct option is B.
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Find a formula for the velocity of the curve P(t)=(tcost,tsint,t) and for the speed of this curve.
The magnitude of the velocity vector as found above for speed is √(1 + t²(1 + sin² t)).
Given curve is P(t) = (t cos t, t sin t, t)
To find the formula for the velocity of the curve we differentiate the curve with respect to t.
P'(t) = (cos t - t sin t, sin t + t cos t, 1)
Formula for velocity = |P'(t)|
∴ Velocity = √((cos t - t sin t)² + (sin t + t cos t)² + 1²)
Simplify the expression using trigonometric identities
(cos t - t sin t)² + (sin t + t cos t)² = cos² t + t² sin² t - 2t cos t sin t + sin² t + t² cos² t + 2t cos t sin t
= cos² t + sin² t + t² sin² t + t² cos² t
= 1 + t²(1 + sin² t)
Velocity = √(1 + t²(1 + sin² t))
The speed of the curve is given as
|P'(t)| = √((cos t - t sin t)² + (sin t + t cos t)² + 1²)
Speed = |P'(t)|
= √((cos t - t sin t)² + (sin t + t cos t)² + 1²)
= √(1 + t²(1 + sin² t))
Since speed is the magnitude of the velocity vector, the formula for the speed of the curve is the same as that for the magnitude of the velocity vector as found above, i.e. speed = √(1 + t²(1 + sin² t))
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11. НУР 29 29° X Adj OPP X= 25.36
How would I get x=25.36 using
SOH CAH TOA
Answer: x= 25.36
Step-by-step explanation:
Solve for x:
Given: Acute Angle=29°
Hypotenuse=29
Adjacent - x=?
Relation: cosine
cos29°=\frac{x}{29}
\frac{cos29°}{1}=\frac{x}{29}
29(cos29°)=x
25.36=x
What percent of newborn African lions weigh less than 3 pounds? b. What percent of newborn African lions weigh more than 3.8 pounds?
The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.
However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.
For the percentage of newborn African lions weighing less than 3 pounds:
We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.
For the percentage of newborn African lions weighing more than 3.8 pounds:
Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.
Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
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1,784 rounded to the nearest ten
Answer:
1,784=1,780
Step-by-step explanation:
because the tens column is 4,it is not greater than 5 but less than 5.due to this, the 1,784 becomes 1,780 because in this a number less than five will automatically become 0
The answer is 1,780
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A toy pyramid has the dimensions shown below. The base of the pyramid is an equilateral triangle. What is the area of the base of this pyramid?
56 cm 2
32 cm 2
64 cm 2
28 cm 2
Please help 20 points.
Answer: 28 cm²
Step-by-step explanation:
To find the area of the base of this pyramid, we will use the area of a triangle and substitute the known values to solve. I have outlined the base in the image attached.
A = \(\frac{bh}{2}\)
A = \(\frac{(8\;cm)(7\;cm)}{2}\)
A = \(\frac{56\;cm^2}{2}\)
A = 28 cm²
Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age of a person who receives a discount. Which inequality represents the age of a child who receives a discount
Answer:
0< X<10
X>65
0<x<10 or X>65
Step-by-step explanation:
A pizza parlor offers 12 toppings. a. How many 5-topping pizzas could they put on their menu? Assume double toppings are not allowed. b. How many total pizzas are possible, with between zero and 12 toppings (but not double toppings) allowed? c. The pizza parlor will list the 12 toppings in two equal-sized columns on their menu. How many ways can they arrange the toppings in the left column?
The answers are seen below
What is a combination in math?Generally, In mathematics, a combination is a selection of items from a collection, such that (unlike permutations) the order of selection does not matter. For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange.
Given
The pizza parlor offers 12 toppings
(a)
\(\begin{aligned}{ }^{12} c_5 & =\frac{12 !}{5 ! 7 !} \\& =792\end{aligned}\)
(b) Between zero and 12 toppings we have
2^{12}=4096
(c)
\({ }^{12} P_6 & =\frac{12 !}{6 !}\)
=665280
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11 Finding a difference quotient for a linear or quadratic function V Find the difference quotient f(x)=-3x²-2x+5 Simplify your answer as much as possible. f(x +h)-f(x) h f(x+h)-f(x) h = ( where h#0,
The difference quotient for the given function is 9 -2/h.
The difference quotient for the given function can be calculated as:
[f(x+h) - f(x)]/h
= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h
= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h
= (6xh + 3h² - 2h)/h
= (6x + 3h -2)/h
Simplifying the expression further, we get:
(6x + 3h -2)/h = 6 + 3h/h -2/h
= 6 + 3 -2/h
= 9-2/h
Therefore, the difference quotient for the given function is 9 -2/h.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.
f(x)=3x² -2x+5. Simplify your answer as much as possible.
how do you find the absolute maximum and absolute minimum values of f on the given interval f ( x ) = ln ( x 2 3 x 9 ) and [-2, 2]?
The absolute maximum and absolute minimum values of a function on a given interval can be found by evaluating the function at critical points within the interval and at the endpoints of the interval. There are no critical points within the interval [-2, 2].
To find the critical points of the function, we need to determine where its derivative is equal to zero or does not exist. In this case, the function is f(x) = ln(x^(2/3) * x^9).
Taking the derivative of f(x) with respect to x, we get f'(x) = (2/3) * x^(-1/3) + 9/x. Setting f'(x) equal to zero and solving for x, we find that there are no critical points within the interval [-2, 2].
Next, we evaluate the function at the endpoints of the interval. Plugging in x = -2 into f(x), we get f(-2) = ln((-2)^(2/3) * (-2)^9). Plugging in x = 2, we get f(2) = ln(2^(2/3) * 2^9).
Since ln(x) is an increasing function, we can compare the values of f(-2) and f(2) to determine the absolute maximum and minimum. Without further calculation, it is not possible to provide the precise values, but comparing the two values will determine which one is larger or smaller, giving us the absolute maximum and minimum values of the function on the interval [-2, 2].
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You pick a card at random. (1234)
What is P(greater than 1 or divisor of 2)?
The probability of picking a number greater than 1 or a divisor of 2 is 3/4.
Calculating the probability P(greater than 1 or divisor of 2)?The numbers greater than 1 or divisor of 2 in the set {1, 2, 3, 4} are {2, 3, 4}.
Therefore, the probability of picking a number greater than 1 or a divisor of 2 is:
P(greater than 1 or divisor of 2) = P(2 or 3 or 4) = P(2) + P(3) + P(4)
Since there are four equally likely outcomes, the probability of each individual outcome is 1/4. Thus, we have:
P(greater than 1 or divisor of 2) = 1/4 + 1/4 + 1/4 = 3/4
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