Answers
Given
\(\begin{gathered} A=\begin{pmatrix}6 & -2 \\ -1 & 3 \\ 8 & 1\end{pmatrix}\text{ and } \\ \\ B=\begin{pmatrix}3&5\\ -4&-1\\ 0&2\end{pmatrix} \\ \\ \end{gathered}\)Find 3A+5B
Solution
\(\begin{gathered} 3\begin{pmatrix}6 & -2 \\ -1 & 3 \\ 8 & 1\end{pmatrix}+5\begin{pmatrix}3 & 5 \\ -4 & -1 \\ 0 & 2\end{pmatrix}=? \\ \\ \\ \\ =\begin{pmatrix}18 & -6 \\ -3 & 9 \\ 24 & 3\end{pmatrix}+\begin{pmatrix}15 & 25 \\ -20 & -5 \\ 0 & 10\end{pmatrix}=\begin{pmatrix}33 & 19 \\ -23 & 4 \\ 24 & 13\end{pmatrix} \end{gathered}\)The final answer
\(\begin{pmatrix}33&19\\ -23&4\\ 24&13\end{pmatrix}\)Related Questions
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Calculate the following. (Round your answer to two decimal places.)
sample mean = x
Answers
If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.
Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.
Then the mean of the sample will be
\(\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i\)
Then the table is given below.
Then we have
\(\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75\)
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Which of the following is equal to the rational expression below when x=-1
or -8?
11(x+8)
/(x + 1)(x+8)
Answers
Answer:
11/(x + 1) thus d: is the answer
Step-by-step explanation:
Simplify the following:
(11 (x + 8))/((x + 1) (x + 8))
(11 (x + 8))/((x + 1) (x + 8)) = (x + 8)/(x + 8)×11/(x + 1) = 11/(x + 1):
Answer: 11/(x + 1)
Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answers
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
Teceives an ) After giving two fifths of her coins to her sister, Thao receives another 4 coins for her birthday. She now has 16 coins. How many coins did she have originally?
Answers
The result is 16, which matches the information given in the problem. Thus, our solution is correct. Thao originally had 30 coins.
Let's solve this problem step by step.
Let's assume the number of coins Thao originally had is x.
According to the problem, Thao gives two fifths of her coins to her sister. Two fifths of x can be represented as (2/5)x.
After giving away two fifths of her coins, Thao receives 4 coins for her birthday. So, the number of coins she has now is (2/5)x + 4.
The problem states that she now has 16 coins. Therefore, we can set up the following equation:
(2/5)x + 4 = 16
To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 4 from both sides:
(2/5)x = 16 - 4
(2/5)x = 12
To get rid of the fraction, we can multiply both sides of the equation by 5:
5 * (2/5)x = 5 * 12
2x = 60
Next, divide both sides of the equation by 2 to solve for x:
(2x)/2 = 60/2
x = 30
Therefore, Thao originally had 30 coins.
To verify our answer, we can substitute x = 30 back into the equation (2/5)x + 4 and see if it equals 16:
(2/5) * 30 + 4 = 12 + 4 = 16
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Write an equation for this situation.
Answers
Step-by-Step Explanation:
Let ‘x’ be the number of months
Let ‘y’ be the total no. of books he read
Given:
He read 2 books before joining (+2)
He plans to read 3 books per month (3x)
Equation:
= Total no. of books = 3 multiplied by the no. of months + 2 books he had read
=> y = 3x + 2
Simplify.
289
A)
17
18
C)
19
D)
20
I need help
Answers
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
have a good day bro
A father complained that his son's allowance of $5 per week
was too much. The son replied, "Okay, Dad. How about this?
You give me a penny for the first day of the month, 2 cents for
the next, 4 cents for the next, 8 cents for the next, and so on for
every day of the month." The father readily consented. Who was
the more clever? What would the son's allowance be on day 31?
Answers
Answer
I won’t say the answer but here
Step-by-step explanation:
So do 8+8 then 16+16 and keep going
Divide −9 by 27. Determine the correct sign of the quotient.(1 point)
Answers
Answer:
-1/3
Step-by-step explanation:
just reduce the fraction
3:1 =6:x what is the value of x
Answers
Answer:
x = 2
Step-by-step explanation:
\( \frac{3}{1} = \frac{6}{x} \)
\(3x = 6\)
\(x = 2\)
Answer:
3:1 = 6:2 (x=2)
Step-by-step explanation:
Think of ratios as a fraction
3/1 = 6/x
to get from 3 to 6 you multiply it by 2. now for the ratio to be the same, you have to multiply the denominator by 2 as well. 2 x 1 = 2. therefore it would be 6/2. you can notice that if you simplify it, it is equal to 3/1. it is the same thing with ratios.
Susie makes $10.25 an hour and time and a half for hours over 40 per week.
She worked 40 regular hours and 5 overtime hours last week.
What was her total pay?
Answers
Answer:
If Susie makes $10.25 an hour, and makes time and a half for overtime, she would make $410 from regular time. If she works 5 hours of overtime, she would make $76.90.
$410+$76.90=$486.90
In total, she would make $486.90.
PLEASE RESPOND FAST FOR BRAINLIEST.
Data Set 1 has a mean of 173.5 and a MAD of 3.9.
Data Set 2 has a mean of 161.2 and a MAD of 4.1.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 3.
The distributions are different.
The means-to-MAD ratio is 4.
The distributions are somewhat similar.
Answers
Answer:
Option D, The distributions are somewhat similar
Step-by-step explanation:
Step 1: Determine the means-to-MAD ratio
Data Set 1 → Mean = 173.5, MAD = 3.9
Data Set 2 → Mean = 161.2, MAD = 4.1
\(Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}\)
\(Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}\)
\(Ratio = \frac{-12.3|}{0.2}\)
\(Ratio = -61.5\)
Step 2: Determine if the distributions are similar or not
Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.
Answer: Option D, The distributions are somewhat similar
Solve for x.
A. 2ft
B. 3ft
C. 4ft
D. 6ft
Answers
\(solution= \frac{x}{3}=\frac{6}{9}- x=2\\ answer:2ft\)Answer:
Step-by-step explanation:
A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.
Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.
Answers
Answer:
As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
Option 1:
Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X
79 + 62H + 15H = X
Option 2:
Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X
79 + ((62 + 15) x H) = X
Social support and stroke-induced aphasia. Hilari and Northcott (2006) used a Social Support Survey (SSS) to gauge how well-supported individuals suffering from stroke-induced aphasia (a language disorder) felt more than one year following the stroke. They reported that “in terms of social support, the SSS scores were negatively skewed with a mean of 3.69, suggesting that participants felt overall well supported” (Hilari & Northcott, 2006, p. 17). Based on their findings, what additional measure of central tendency would be appropriate to report with these data?
Explain.
Answers
Answer:
A third metric to consider is the median. The reason for this is that all of the data is negatively skewed, and using mean would result in a reduction.
Step-by-step Explanation:
Okay, So for this problem, we were asked to make a relative frequency distribution based office of this clinical trial for this drug and its adverse side effects. Okay, so, um, that's look at the data here. We'll make a relative frequency distribution as a chart with two sides over here, we will write thes side effects. So I defects. Over here, we will write the frequency of those side effects. Okay, so we have headaches. Eggs. There was hypertension, a pretension, upper respiratory infection. A margarita, as you are. A per respiratory nasal Farron Ghitis. It's just right neighs o on then. Lastly, there was diarrhea. Okay, So the frequencies for these, we were told, were 57 in 21 60 51 and 53. Okay, so that is the frequency distribution right there. That's the first part of our answer. Okay, Second part of our answer says, are any of these, um, more common than the other? That's has to use relative frequency. Okay, So for relative frequency, relative frequency, it's just equal to the individual frequency f over the some summation symbol right there of the frequencies. Okay. And from that we'll get a percentage if we times it by 100%. Yeah. Cool. So, um, what is the sum of all these frequencies? Some of all the frequencies. It's just equal to 57 plus 21 plus 60 plus 51 plus 53. And that is just 242. So if I wanted to get the relative frequency for headaches, um, which I will do right now, let me switch colors to do that, do that and read on. So the relative frequency for headaches it's equal to 57 over 2 42 times, 100%. And when I do that, I get about 23%. So 23% Okay, I do it for the next one. I'll dio 21 divided by 2 42 times 100%. This is for hypertension. I get approximately 9%. Okay, So frequency of hypertension is 9%. It's a lot less than the headaches. Let's do the rest. So 60 divided by 2 42 times 100% equal to about 25%. And then the 51 divided by 2. 42 times 100% approximately 21% and then last 1 53 developed by 2 42 times 100% approximately 22%. Okay, fill out our chart here. So well, we have 25% for a respiratory. 51 21% for needs affair and itis. And then lastly for diarrhea, 22%. Okay, So the question asked us, um if any one of these air more common than the other Not really. There's less for hypertension, but they're all about more or less the same, so there is no difference or no prevalence of adverse side effects.
Given the cos(θ) = 5/13 the ratio for sine of θ is
. Enter your answer as a fraction.
Answers
which property of exponents must you apply to the express p 1/2 to derive p as the result
Answers
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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What is the slope of the line segment that passes through
points (1,3) and (5, 13)?
Answers
Answer: 5/2
Step-by-step explanation:
slope equation: (y2-y1)/(x2-x1)
13-3/5-1 = 10/4 or 5/2
Answer:
2.5
Step-by-step explanation:
Gradient (slope) =
\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)
I NEED HELP 30 POINT!!
Answers
Answer:
35
Step-by-step explanation:
You can easily graph this in desmos for a visual understanding.
The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.
Helppppppppppppppppppppp
Answers
Answer: 144ft
Step-by-step explanation: Hope this help :D
A submarine's position is -325 feet. If it descends 98 feet what is its new position?
Answers
Answer:
Answer is -483
Step-by-step explanation:
hope this helps
The t distribution is a family of similar probability distributions, with each
individual distribution depending on a parameter known as the
Group of answer choices
degrees of freedom
sample size
standard deviation
population mean
Answers
The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.
How are the degrees of freedom determined?
When calculating degrees of freedom, one is subtracted from the total number of items in the data sample. Degrees of freedom are frequently addressed in relation to different types of statistical hypothesis testing, like a chi-square.The number of independent bits of information required to construct a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df. It is determined by subtracting the number of constraints from the sample size.Finding essential cutoff values for inferential statistical tests requires consideration of the degree of freedom. Degrees of freedom often (but not always) relate to sample size depending on the sort of study you conduct.Hence, the t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.
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The tables represent the points earned in each game for a season by two football teams.
Panthers
14 10 10
10 17 3
28 13 17
32 16 10
14 7 21
Cowboys
10 3 8
6 24 12
21 3 10
28 28 7
7 13 3
Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 14 points
Cowboys; they have a larger median value of 10 points
Panthers; they have a larger mean value of about 14.8 points
Cowboys; they have a larger mean value of about 12.2 points
Answers
Answer:
Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.
Step-by-step explanation:
To compare the measures of center, we can calculate the mean and median points earned by each team:
Panthers: Mean = 212/15 = 14.13 points, Median = 14 points
Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points
Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.
So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).
Round 5.23 to the nearest tenth.
Answers
Answer:
The answer is 5.20
Step-by-step explanation:
Since the tenth place is lower than 5 it stays the same
Please help I will give brainily and more, NEEDING SMART PEOPLE
On the coordinate plane shown below, points
G and I
have coordinates (6 ,4) and (3 ,2), respectively.
1.) Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I on a coordinate plane. Use complete sentences to describe the strategy.
2.) Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
3.) Use the distance formula and the coordinates of points G and I
to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answers
Answer:Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
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13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
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-8x + 2x -16 < -5x + 7x
could you explain the answer
Answers
Answer:
x > -2
Step-by-step explanation:
First, you simplify both sides of the inequality by combining like terms
\(-8x + 2x -16 < -5x + 7x\)
\(-6x - 16 < 2x\)
Then, you add 6x to both sides in order to isolate x (bring all the Xs to one side)
\(-6x - 16 + 6x < 2x + 6x\)
\(-16 < 8x\)
Lastly, you divide by 8 in order to cancel out 8x solve for x. Since 8 is not a negative number, you DO NOT flip the sign.
\(\frac{-16}{8} < \frac{8x}{8}\)
\(-2 < x\)
The distance from the tip of a slice of pizza to the crust is 7 inches.
Does this represent diameter, circumference, or radius?
ANSWER ASAP THANK YOU
Answers
Answer:
radius
Step-by-step explanation:
The Pappas family has two cats, Zeus and Athena. Together they weigh nine pounds. Zeus weighs 3 pounds less than Athena. How much does Athena weigh?
Answers
Answer:
Athena weighs 6 pounds. (Zeus weighs 3 pounds).
Step-by-step explanation:
We know that A (Athena) + Z (Zeus) = 9. And we know that Zeus weighs three pounds less than Athena. Knowing this we can do
1 + 8 = 9
2 + 7 = 9
3 + 6 = 9
We can see that 6 and 3 equal 9 and 6 is 3 away from 3, getting us the answer that Athena weighs 6 pounds. :) I hope this helps! ^^
2X -3 = 9
2X = 12
X = 6
X-3 = ?
6-3 = 3
One cat weighs 6 lbs and one weighs 3 lbs for total of 9 lbs. Athena weighs 6 lbs.
In order to add the fractions 2/5 + 3/4, first, we need to find the least common denominator. The LCD for 4 & 5 is 20. Now that we know the LCD is 20, what are the new equivalent fractions?
Answers
Answer:
8/20 and 15/20 and then you add to get 23/20 AKA 1 3/20
Step-by-step explanation:
Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8
Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15
Your final fractions will be 8/20 and 15/20
Then add and reduce to get 1 3/20
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613 / 1200
Answers
Answer:
1,208.92613
Step-by-step explanation:
this is the answer
Isosceles triangle: hypotenuse is 20, what are the side lengths?
Answers
Answer: \(10\sqrt{2}\)
Step-by-step explanation:
Angles in an isosceles right triangle are: 90, 45, 45.
The ratio of the sides are: \(1:1:\sqrt{2}\)
Side of 90° = 20
Side of 45° = \(\frac{20}{\sqrt{2} }\)
\(\frac{20}{\sqrt{2} } =\) \(\frac{20\sqrt{2} }{\sqrt{2} ^{2} } = \frac{20\sqrt{2} }{2} = 10\sqrt{2}\)