Answer:
your answer is F
I hope it's helps you
C=2 4 6 3 6 9 4 8 12 find the determinant and inverse of c
Answer:
The determinant of C is zero and does not have inverse.
Step-by-step explanation:
Let \(C = \left[\begin{array}{ccc}2&4&6\\3&6&9\\4&8&12\end{array}\right]\), since it is a matrix with 3 rows and 3 columns, we can determine its determinant by the Sarrus' rule:
\(\det(C) = \left|\begin{array}{ccc}2&4&6\\3&6&9\\4&8&12\end{array}\right|\)
\(\det(C) = (2)\cdot (6)\cdot (12)+(3)\cdot (8)\cdot (6)+(4)\cdot (4)\cdot (9)-(4)\cdot (6)\cdot (6)-(3)\cdot (4)\cdot (12)-(2)\cdot (8)\cdot (9)\)
\(\det (C) = 0\)
Since the determinant of C is equal to zero, then we conclude that C does not have an inverse according to the following definition of inverse matrix. That is:
\(C^{-1} = \frac{1}{\det(C)}\cdot adj(C)\) (1)
Where \(adj(C)\) is the adjugate matrix of C, defined as the transpose of the cofactor matrix of C.
The result of this expression is undefined due to the determinant.
Find the height of a cone with a volume of 2, 0587 cubic feet and a radius of 21 feet.
The height of the cone is 44.57 ft.
In the question we have,
radius = 21ft
Volume of the cone = 20,587 \(ft^{3}\)
π = 3.14
The formula of the volume of a cone is \(V = (1/3)hπr^{2}\)
Rearrange the formula to solve for h,
\(h = 3V/ πr^{2}\)
Substituting the values of V, r and π
\(h = 3* 20,587 / 3.14* (21)^{2}\)
Solving the equation will give the height of the cone = 44.5785417ft.
Therefore the height of the cone (h) = 44.57ft.
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Answer:
44.58 feet----------------------------
To find the height of the cone, we can use the formula for the volume of a cone, which is:
Volume = (1/3)πr²h,where volume is 20587 cubic feet, r is the radius (21 feet), and h is the height we're trying to find.
First, plug in the values given:
20587 = (1/3)π(21²)h
Now, we'll solve for h step by step:
1. Calculate 21²:
2. Multiply by π:
3. Divide 1385.44 by 3:
4. Divide both sides of the equation by 461.81:
h = 20587 / 461.81 ≈ 44.58The height of the cone is approximately 44.58 feet.
I AM GIVING OUT BRAINLIST
Step-by-step explanation:
18.706 → 19
18.706 → 18.71
18.706 = 19
18.706 = 18.71
Suppose that a scientist seeks to compare the ability of a new hand sanitizer to eliminate Pseudomonas aeruginosa bacteria against the hand sanitizer currently in use. Assume that the mean number of bacteria remaining on a hand after using sanitizer is approximately normally distributed; however, the population standard deviation is unknown.
The scientist selects a simple random sample of 57 students. Each subject uses the new hand sanitizer on one randomly‑chosen hand and the sanitizer currently in use on the other. The number of Pseudomonas aeruginosa bacteria remaining on each hand after using the sanitizers is determined, and the difference in the number of bacteria on the hand treated with the new sanitizer and the number of bacteria on the hand treated with the current sanitizer is determined.
Choose the procedure for estimating the mean difference.
A. Two sample test for a difference in means
B. One sample confidence interval for paired data
C. Two sample confidence interval for a difference in means
D. One sample confidence interval for a difference in means
E. One sample test for paired data
The appropriate procedure for estimating the mean difference in this scenario is one sample confidence interval for paired data. The correct option is B.
Understanding Sample Confidence IntervalIn this study, each subject uses both the new hand sanitizer and the sanitizer currently in use, with the number of bacteria measured for each hand. This is a paired design, as each subject serves as their own control.
By using a one sample confidence interval for paired data, we can estimate the mean difference in the number of bacteria between the two sanitizers and determine the level of confidence in the estimate. This approach takes into account the paired nature of the data and provides a confidence interval specifically tailored for such situations.
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Someone help me solve this I’m at the edge of giving up
Answer:
I don't know that this answer would be right or wrong
Step-by-step explanation:
So please first check
Translate the following argument into symbolic form, and use Truth Tables to determine whether the argument is valid or invalid.
If the boss snaps at you and you make a mistake, then he’s irritable. He didn’t snap at you. So he’s not irritable.
The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.
Let's assign symbols to represent the statements in the argument:
P: The boss snaps at you.
Q: You make a mistake.
R: The boss is irritable.
The argument can be symbolically represented as follows:
[(P ∧ Q) → R] ∧ ¬P → ¬R
To determine the validity of the argument, we can construct a truth table:
P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R
---------------------------------------------------------
T | T | T | T | F | F | T |
T | T | F | F | F | T | T |
T | F | T | T | F | F | T |
T | F | F | F | F | T | T |
F | T | T | T | T | F | F |
F | T | F | T | T | T | T |
F | F | T | T | T | F | F |
F | F | F | T | T | T | T |
The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.
Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.
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Jeff decides to put some extra bracing in the elevator shaft section. The width of the shaft is 1.2m, and he decides to place bracing pieces so they reach a height of 0.75m. At what angle from the hor
Therefore, the bracing pieces are placed at an angle of approximately 32.2° from the horizontal.
To determine the angle from the horizontal at which the bracing pieces are placed, we can use trigonometry. The width of the shaft is given as 1.2m, and the height at which the bracing pieces reach is 0.75m. We can consider the bracing piece as the hypotenuse of a right triangle, with the width of the shaft as the base and the height reached by the bracing as the opposite side.
Using the tangent function, we can calculate the angle:
tan(angle) = opposite / adjacent
tan(angle) = 0.75 / 1.2
Simplifying the equation:
angle = tan⁻¹(0.75 / 1.2)
Using a calculator, we find:
angle ≈ 32.2°
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what kind of correlation would you expect to find between rainfall and sales of sunscreen?
You would expect to find a negative correlation between rainfall and sales of sunscreen, as more rain typically means fewer people buying sunscreen.
Rainfall and sales of sunscreen would have a negative correlation, as more rain typically means fewer people buying sunscreen. This is because when it rains, typically people do not go out in the sun, so they do not need to purchase sunscreen. Additionally, when it rains, the UV rays are blocked, so people do not feel the need to buy sunscreen to protect their skin. Therefore, when it rains, the sales of sunscreen typically decrease. On the other hand, when it is sunny, people are more likely to go outside and purchase sunscreen to protect their skin from the sun’s harmful UV rays. Therefore, the more rain there is, the lower the sales of sunscreen will be and vice versa.
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grandma forgot how many raisins she put in a batch; you sample one loaf and count 40 raisins. how many do you estimate are in a batch? what is the the uncertainty in your estimate?
Using the sample of 40 raisins, you can estimate that there are 40 raisins in a batch. However, due to the uncertainty of the sample size, there is an element of uncertainty as to how many raisins there truly are in a batch.
Thus, the uncertainty of your estimate can range from slightly below 40 raisins to slightly above 40 raisins.
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Write each expression with fewer terms. Show or explain your reasoning.
1. 103 - 22
2. 10.2 – 3y + 2x
When using a one-sample t-procedure to construct a confidence interval for the mean of a finite population, a condition is that the population size be at least 10 times the sample size. The reason for the condition is to ensure that
a. The sample size large enough
b. The central limit theorem is applicable for the sample mean
c. The sample standar deviation is good apporximation of the population standar deviation
d. The degree dependence among observations is negligible
e. The sampling method is not biased
The correct answer is (b) The central limit theorem is applicable for the sample mean.
The condition that the population size be at least 10 times the sample size is necessary to ensure that the sample mean follows a normal distribution, as required by the central limit theorem. The central limit theorem states that the sample mean will be approximately normally distributed, regardless of the underlying population distribution, as long as the sample size is large enough. In this case, the condition is necessary to ensure that the sample size is sufficiently large for the central limit theorem to be applicable. Options (a), (c), (d), and (e) are not the correct answers because they do not directly relate to the condition that the population size be at least 10 times the sample size.
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4x + 5 = 2x
Helpp please
Answer:
x=-2.5
Step-by-step explanation:
Answer:
x= -5/2
Step-by-step explanation:
i just did scratch work an figured it out.. Lemme kno if u need ore help-..:):)
What is 1/8 divided by 3/4?
Answer:
1 / 6 is the answer in fraction form and 0 . 16 as decimal form.
Step-by-step explanation:
1 / 8 ÷ 3 / 4
= 1 / 8 × 4 / 3
= 1 / 2 × 1 / 3
= 1 / 6
hope this answer will help you
HELP PLEASEEE
Angel RTQ is a straight angle. What are m angle RQS and m angle TQS?
Answer:
Step-by-step explanation:
(21x+1)+(14x+4)=180
35x+5=180
35x=175
x=5
(21{5}+1)
105+1
Angle< RQS=106 degrees (14{5}+4)
Angle TQS=74
Angel RTQ is a straight angle, the measure of angle RQS and the measure of angle TQS is, 61° & 74°
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
A line segment, RQT
And one ray, QS
∠TQS = (21x + 1)°
∠RQS = (14x + 4)°
it is known that,
Straight angle = 180°
∠TQS + ∠RQS = 180°
(21x + 1)° + (14x + 4)° = 180°
35x + 5 = 180°
35x = 175°
x = 5°
∠TQS = (21×5 + 1)° = 61°
∠RQS = (14×5+ 4)° = 74°
Hence, the measure of ∠TQS & ∠RQS are respectively 61° & 74°
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A school bus can safely carry as many as 76 students. If 19 students are already on the
bus, how many more can board the bus?
Answer:
57 students can still board
Step-by-step explanation:
If it carries 76 students total and 19 are already on, we must find the difference
This means we subtract
76 - 19 = 57
Please help with this question!!
According to the information, we plan to have cruising speed on for a minimum of 3 hours and a maximum of 4.1 hours.
How to calculate how many hours we are going to have the cruising speed on?To calculate how many hours we are going to have the cruising speed on we must carry out the following process:
To calculate the minimum we must subtract 35 from 215 and then divide by the speed:
215 - 35 = 180180 / 60 = 3So the minimum hours would be 3 hours.
On the other hand, to calculate the maximum we must add 35 to 215 and divide it by the speed:
215 + 35 = 250250 / 60 = 4.1So the maximum time would be 4.1 hours.
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Question Factor −1/4 out of −1/2x−5/4y.
Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020
Answer:
Step-by-step explanation: The four numbers: - 34, -0.4, 0.4, 3.4
so if you look at it it The answer is -34
Answer:
-34
Step-by-step explanation:
this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers
idk how to do this
Simplify
14^15 over 14^5
4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =
In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.
Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.
We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)
Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!
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Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.
corresponding alternate interior alternate exterior none of these
Answer:
From left to right, top to bottom: 1 and 2 are neither, 1 and 2 are neither, 1 and 2 are neither, 1 and 2 are cooresponding angles, 1 and 2 are alterante interior angles.
Answer:
We will go in order.
first-None of them
second-Alternate exterior
third-None of them
forth-Corresponding
and Fifth-Alternate Interior
Step-by-step explanation:
just took test
Find the midpoint between (31, 7) and (–17, 19).
(7, 13)
(14, 26)
(19, 1)
(24, –6)
Answer:
It's (7, 13) not sure how to explain that
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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1/5 x 2/9
i need it for class
Answer:
2/45
Step-by-step explanation:
In the first picture you can see that you have to add you numbers and multiply them
In the second picture you can see you have to divide them to get that answer…
<3 me please! Hope this helps ya!
\(\huge\text{Answer:}\)
\(\huge\mathrm{\displaystyle\frac{2}{45} }\checkmark\)
\(\huge\text{Solution:}\)
\(\sf{Hey~ There!:)}\)
\(\large\text{How to multiply fractions?}\)
\(\star\star\) Multiply the numerator of one fraction times the numerator of the other fraction.
\(\star\star\)Then, multiply the denominator of one fraction times the denominator of the second one.
\(\star\star\) Simplify if necessary.
\(\rm{\displaystyle\frac{1}{5} *\frac{2}{9} }\)
Multiply 1 times 2:
2
5*9:
45
\(\longmapsto\sf{\displaystyle\frac{2}{45}\) (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
\(\bf{-MistySparkles^**^*}\)
3. The manufacturing cost of a calculator is given by M(x, y) = 20x2 + 15y2 – 10xy + 40, where x is the cost of parts and y is the cost of labor. At the moment, the company spends $8 on parts and $12 on labor. Use differentials to approximate the change in cost if the company spends $8.25 on parts and $11.80 on labor.
If the company spends $8.25 on parts and $11.80 on labor, then the change in cost is -$6.
We need to use differentials to approximate the change in cost for the manufacturing of a calculator,
given M(x, y) = 20x² + 15y² - 10xy + 40, where x is the cost of parts and y is the cost of labor.
The current cost is $8 on parts and $12 on labor, and the new cost will be $8.25 on parts and $11.80 on labor.
First, compute the partial derivatives with respect to x and y.
dM/dx = 40x - 10y
dM/dy = 30y - 10x
Evaluate the partial derivatives at the current costs (x = 8, y = 12).
dM/dx(8, 12) = 40(8) - 10(12) = 320 - 120 = 200
dM/dy(8, 12) = 30(12) - 10(8) = 360 - 80 = 280
Find the change in x and y.
Δx = 8.25 - 8 = 0.25
Δy = 11.80 - 12 = -0.20
Use differentials to approximate the change in cost.
ΔM ≈ (dM/dx)(Δx) + (dM/dy)(Δy)
ΔM ≈ (200)(0.25) + (280)(-0.20) = 50 - 56 = -6
Approximately, the change in cost is -$6 if the company spends $8.25 on parts and $11.80 on labor.
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Factor the expression completely.
-20% -40
A. -20(x-2)
B. -10(2x - 10)
C.-20(x + 2)
D. -10(2x + 10)
Answer:
C.-20(X+2)
Step-by-step explanation:
I think you wrote -20% by mistake instead of -20x
All of the following are measures of central tendency except the ________.
Select one:
A. None of the answers are correct
B. mode
C. range
D. mean
E. median
All of the following are measures of central tendency except the range.
The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.
On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.
The mode represents the most frequently occurring value(s) in the dataset.
The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.
The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.
Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.
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Juan, Carlos and Manu take turns flipping a coin in their respective order. The first one to flip heads wins. What is the probability that Manu will win
Answer:
⅓ ×½ which will give you ⅙
Step-by-step explanation:
because
The probability that Manu will win the coin flip amongst others is 4/7
What is the probability that Manu will win?To determine the probability that Manu will win, we need to consider the possible outcomes of the coin flips.
Let's break down the scenarios:
Scenario 1: Manu wins on the first flip
- The probability of Manu winning on the first flip is 1/2, as he needs to flip heads right away.
Scenario 2: Manu wins on the second flip
- Juan flips tails (1/2 probability)
- Carlos flips tails (1/2 probability)
- Manu flips heads (1/2 probability)
- The probability of Manu winning on the second flip is (1/2) * (1/2) * (1/2) = 1/8.
Scenario 3: Manu wins on the third flip
- Juan flips tails (1/2 probability)
- Carlos flips tails (1/2 probability)
- Manu flips tails (1/2 probability)
- Juan flips heads (1/2 probability)
- Carlos flips heads (1/2 probability)
- Manu flips heads (1/2 probability)
- The probability of Manu winning on the third flip is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/64.
The pattern continues, and we can see that Manu's probability of winning decreases exponentially with each subsequent flip.
Therefore, the total probability of Manu winning is the sum of the probabilities from each scenario:
1/2 + 1/8 + 1/64 + ...
This is an infinite geometric series with a first term (a) of 1/2 and a common ratio (r) of 1/8.
Using the formula for the sum of an infinite geometric series:
Sum = a / (1 - r)
Sum = (1/2) / (1 - 1/8)
Sum = (1/2) / (7/8)
Sum = (1/2) * (8/7)
Sum = 4/7
Therefore, the probability that Manu will win is 4/7.
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Factor each expression. 2x²-27 x+36 .
The expression 2x² - 27x + 36 can be factored as (2x - 3)(x - 12).
To factor the given expression, we need to find two binomial factors that multiply together to give the original expression.
First, we look for two numbers whose product is equal to the product of the coefficient of the quadratic term (2) and the constant term (36). In this case, the numbers are 4 and 9, since 4 * 9 = 36.
Next, we look for two numbers whose sum is equal to the coefficient of the linear term (-27). In this case, the numbers are -3 and -12, since -3 + (-12) = -15.
Now, we use these numbers to write the factors:
2x² - 27x + 36 = (2x - 3)(x - 12).
We can check the factoring by multiplying the two factors together using the distributive property:
(2x - 3)(x - 12) = 2x(x) + 2x(-12) - 3(x) - 3(-12) = 2x² - 24x - 3x + 36 = 2x² - 27x + 36.
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