Given parameters:
Area of the rectangular garden = 359ft²
Unknown:
length and width of the garden = ?
To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.
Area of a rectangle = Length x Breadth
From the problem statement;
Let w = width of the rectangular garden
L = length of the garden;
Now,
length of a rectangular garden is 5 feet less than 4 times its width
L = 4w - 5
Now let us substitute this into the equation;
Area = L x w
359 = (4w - 5)w
4w² - 5w - 359
Using:
w = -b ± √b² - 4ac / 2a
where b = -5 , a = 4 and c = -359
w = -(-5) ± √-5² - 4(4)(-359) / 2(4)
w = 5 ± √25 + 5744 / 8
w = 5 ± 75.9 / 8
w = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]
w = 10.1ft
The other solution is not possible it will be a negative value. Width value cannot be negative.
So L = 4w - 5 = 4(10.1) - 5 = 35.5ft
The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.
Suppose the last column of AB is entirely zero but B itself has no column of zeros. What can you say about the columns of A? Choose the correct answer below. A. The columns of A must be the identity matrix columns because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must be the identity matrix to ensure that the last column of AB is all zeros. B. The columns of A are linearly independent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then the only solution to A0 is the trivial solution. C. The columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then any solution to A0 can not be the trivial solution. D. The columns of A must all have entries of zero because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must have columns that are composed of only zeros and therefore AB must be the zero matrix.
Answer:
The correct option is C, the columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since B is not all zeros, then any solution to A0 can not be the trivial solution
Step-by-step explanation:
Firstly, have to define linear dependency to get a clear picture of what is to be done.
If we have two vectors A and B, they are said to be linearly independent if Ax + By = 0 if and only if x = y = 0. Otherwise they are linearly dependent.
Now, let p denote the last column of the matrix B. We are given that the last column of AB is zero, therefore Ap = 0. Although p is not the zero vector, because B has no columns of zeros, therefore the equation Ap = 0 is a linear dependence relation among the columns of A. Hence, the columns of A are linearly dependent.
-6(1/4x-2/3x+5/6x) simplified .
Answer:
[tex]-2\frac{-1}{2}[/tex]
Step-by-step explanation:
To distribute the -6, multiply every numerator by -6, this gets you
-6/4+12/3-30/6
To put these together, they all need to have a common denominator. We can make all of the denomiators 12 by multiplying the numerator by whatever we multiply the denominators by to get 12.
-18/12+48/12-60/12
This gets you -30/12
To make this a proper fraction, divide -30 by 12 and put the whole number to the left of the fraction (-2), making a mixed number. The remainder stays a fraction which is -6/12. This reduces down to -1/2. Put -2 and -1/2 together to get [tex]-2\frac{-1}{2}[/tex]
(18 - ab) + 4b (if a = -2 and b = -5)
Answer:
-12
Step-by-step explanation:
if a=-2 and b=-5
(18-(-2×-5))+4(-5)
(18-(10))-20
8-20
-12
just gotta plug in the given into the equation
Answer:
person above me is correct
Step-by-step explanation
You can use a calculator if you want :)
Answer:
A. -0.02
Step-by-step explanation:
-[tex]\frac{5}{25}[/tex]=-[tex]\frac{1}{5}[/tex]
1/5 is 20%
-1/5 is -20%
-.02% is greater because it's closer to zero
George earns $15 an hour, works 40 hours per week and about 50 weeks a year. what is his gross income for the year
how can i reduce -8/-3
Answer: there are really too many options...
Step-by-step explanation:
If you just want to keep it in simplest fraction form, the negatives cancel, giving you 8/3
But if you want to make it a mixed number, the negatives still cancel and since three goes into eight twice, with two leftover, you get 2 2/3
But if you want to make it a decimal, eight divided by three gives you 2.6666 repeating
Hope I helped! If I did, hopefully you don't mind marking me the brainliest...?
Twenty distinct cars park in the same parking lot every day. Ten of these cars are USmade while the other ten are foreign-made. The parking lot has exactly twenty spaces all in a row so the cars park side by side. However, the drivers have varying schedules so the position any car might take on a certain day is random. What is the probability that on a given day, the cars will park in such a way that they alternate (i.e., no two US-made cars are adjacent and no two foreign-made cars are adjacent)?
Answer:
The probability that on a given day, the cars will park in such a way that they alternate is 1.0825 × 10⁻⁵.
Step-by-step explanation:
It is provided that the cars will be parked in such a way that they will be alternating: US made, foreign made, US made, foreign made, etc.
First park all the US cars. This can be done in 10! ways, since the cars are distinct.
Now park the foreign cars between the US cars. This can also be done in 10! ways.
Since the sequence could begin either with a US car or with a foreign car, the possible number of ways to park alternating cars is
Favorable Outcomes = 2 × 10! × 10!
The total number of ways to park the 20 distinct cars is,
Total Outcomes = 20!
Compute the probability that on a given day, the cars will park in such a way that they alternate as follows:
[tex]P(\text{Alternate Parking})=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]
[tex]=\frac{2\times 10!\times 10!}{20!}\\\\=\frac{2\times 10!\times 10!}{20\times 19\times 18\times ...10!}\\\\=\frac{2\times 10!}{20\times 19\times 18\times ...11}\\\\=1.0825\times 10^{-5}[/tex]
Thus, the probability that on a given day, the cars will park in such a way that they alternate is 1.0825 × 10⁻⁵.
PLEASE HELP 20 points + brainliest
Simplify: -3 1 over 2 - (-12 1 over 4)
Answer:
4) 8 3/4
Step-by-step explanation:
I looked it up on m a t h w a y. c o m /Algebra
Anyone know advanced linear algebra and modern algebra?
Answer:
albinia modern alpinia is not a magnet is called the albanian language
Answer:
I know mrden algebra because I am in algebra
Step-by-step explanation:
Can someone please help, ty!!
(Will mark brainliest)
Step-by-step explanation:
y-y1=m(x-x1). m=8/3 and x1=5 and y1=3
y-3=8/3(x-5)
3*(y-3)=8(x-5)
3y-9=8x-40
8x-3y=40-9
8x-3y=31
so is the third
Question 9. How much is 190 – 87 + 16?
O A. 103
O B. 261
O C. 87
O D. 119
Submit Answer 119
Work from left to right:
190-87 = 103
103 + 16 = 119
The answer is D. 119
Answer:
C. 87
Step-by-step explanation
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step 1: Addition
87 + 16 = 103
Step 2: Subtraction
190 - 103 = 87
Step 3: Check your answer
87 + 103 = 190
The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.
Answer:
the probability of obtaining a favorable outcome increases as the number of trials increases
Step-by-step explanation:
The law of large numbers occupies an important place in probability statistics especially as it regards the outcome of experiments.
A simple statement of this law is that; when an experiment is independently repeated a large number of times, the average result, that is obtained is close to the expected value.
Hence, the probability of obtaining a favorable outcome increases as the number of trials increases.
A jury pool has 17 men and 24 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the following probabilities:
Give all answers accurate to six decimal places.
a) all men
b)all women
c) 8 men 4 women
d) 6 men 6 women
Answer:
since [tex]17+24=41[/tex]
a) [tex]\frac{\binom{17}{12}}{\binom{42}{12}}[/tex]
b) [tex]\frac{\binom{24}{12}}{\binom{42}{12}}[/tex]
c) [tex]\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}[/tex]
d) [tex]\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}[/tex]
Just calculate these. If there is anything wrong just let me know.
Find the area of the geometric figure.
Square
9.5
Answer:
90.25
Step-by-step explanation:
multiply 9.5×9.5
or
9.5²
g Explain why x is a discrete random variable. A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. C. The event x is a discrete random variable because the values of the random variable are countable. D. The event x is a discrete
Answer:
Correct option: C
Step-by-step explanation:
A random variable, denote by X, is a variable whose probable values are numeric and are of a random occurrence. There are two types of random variables, discrete and continuous.
A discrete random variable is the one which takes on only a finite number of distinct values such as 0, 1, 2, 3, 4... For example, the number of female members in a family, the daily attendance at a yoga class, the number of defective light bulbs in a box of five bulbs.
The probability distribution of a discrete random variable consist of a list of probabilities related with the respective possible values. It is also known as the probability mass function.
The correct statement describing X is:
C. The event x is a discrete random variable because the values of the random variable are countable.
Need help on this ASAPPPPPPPP
Answer:
B
Step-by-step explanation:
We know that the blue triangle is the image as it has the ' on the letters. For example G'.
To first start off, you can look at any points to help solve this problem. I used the point H to help me solve this
Since we know that the black triangle is our old image we know the distance in x values between the black triangle to the blue is -2 as it moves to the left 2 times. (Note: it's going more into the negatives, if it were going to the right it would be positive)
Now we do the same to find our y values, and we see that y value for h on the black triangle goes up +1.
Now we know that the X goes to the left two times to get -2 and that the Y goes up once to get +1.
Hope this helps! :)
Answer:
b. (x - 2, y + 1)
Step-by-step explanation:
You can make that determination visually. However, if you need numbers...
Pick a point on the black triangle, let's say F(0, 0) and the corresponding point on the blue tirangle F(-2, 1)
(y₁ + y₂) / (x₁ + x₂) = (0 + 1) / (0 + (-2)) = 1 / -2
[tex]\frac{rise}{run}[/tex] = [tex]-\frac{1}{2}[/tex]
So, from the F(0,0) position move -2 to the left then up 1 to land on F(-2, 1).
This translated to (x - 2, y + 1)
The slope intercept form of an equation is y=mx+b. Rewrite the equation in terms of the slope, m
Answer:
m=x+b/y
Step-by-step explanation:
You have acummulated $85,000 in student loans that average 5% interest
Answer: The student will have to pay $900 per month including intrest and a portion of principal
Solve for x.
28
42
16
x
Rename 8/9 and 7/18 using the least common denominator.
Answer:
LCD = 18
8/9 = 16/18
7/18 = 7/18
Step-by-step explanation:
This is the answer because:
1) First, the least common denominator is 18 because 9 x 2 is 18 and 18 x 1 is 18
2) Next, multiply the numerators with the same number you multiplied with the denominator
8 x 2 = 16
7 x 1 = 7
3) Therefore, the answers are:
8/9 = 16/18
7/18 = 7/18
Hope this helps!
CAN SOMEONE HELP ANSWER THIS AND EXPLAIN
Answer:
In the first section the steps are wrong because they ditributed the 2 wrong they 1 shpuld be a 2 in the second row of unbolded numbers
express 5/8 as a percent
Answer:
62.5%
Step-by-step explanation:
you would do 5 divided by 8 to find the decimal form then move the decimal over 2 spots to the right and that is the percent value.
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435. Determine the number of small boxes shipped and the number of large boxes shipped.
Answer:
There were 7 small boxes and 14 large boxes shipped.
Step-by-step explanation:
This problem may be solved by a system of equations:
I am going to say that:
x is the number of small boxes used
y is the number of large boxes used
There were twice as many large boxes shipped as small boxes shipped
This means that y = 2x
Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.
This means that 45x + 80y =1435
So we have to solve the following system:
y=2x
45x + 80y =1435
45x + 80 (2x) = 1435
205x = 1435
x= 1435/205
x=7
y=2x= 2(7) = 14
There were 7 small boxes and 14 large boxes shipped.
PLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE
(a) Does each triangle have the same change in x-values? Explain.
(b) Does each triangle have the same change in y-values? Explain.
(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain
Answer:
SPLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE
(a) Does each triangle have the same change in x-values? Explain.
(b) Does each triangle have the same change in y-values? Explain.
(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain
tep-by-step explanation:
As men age, their testosterone levels gradually decrease. This may cause a reduction in lean body mass, an increase in fat, and other undesirable changes. Do testosterone supplements reverse some of these effects? A study in the Netherlands assigned 237 men aged 60 to 80 with low or low-normal testosterone levels to either a testosterone supplement or a placebo. The report in the Journal of the American Medical Association described the study as a "double-blind, randomized, placebo-controlled trial." Explain each of these terms to someone who knows no statistics.1) Explain the term "double-blind" study?2) True or False: :"Randomized means that the subjects were selected randomly from the population of men aged 60 to 80 with low or low-normal testosterone levels."3) Explain the meaning of the term "placebo-controlled" trial?
Answer:
Answered below.
Step-by-step explanation:
1) A double - blind study is simply an experiment in which neither the participants nor the people who carry out the experiment know who is receiving any particular treatment. This method is usually used in order to prevent a biased view in research results.
2) True because randomized simply means that subjects were assigned to the group randomly.
3) Placebo - controlled trial simply means that there was a control group that received only a placebo treatment which is mainly designed not to have real effect.
As of a certain date, there had been a total of 14,649 performances of two shows on Broadway, with 2389 more performances of Show A than Show B. How many performances were there of each show? There were performances for Show A.
Subtract the difference:
14,649 - 2389 = 12,260
Divide that by 2
12,260 / 2 = 6,130
That is the number of shows for B.
For A add the 2,389 to the number of shows for B
2389 + 6130 = 8,519
Show A = 8,519
Show B = 6,130
Answer:
14,649 - 2389 = 12,260
Divide that by 2
12,260 / 2 = 6,130
That is the number of shows for B.
For A add the 2,389 to the number of shows for B
2389 + 6130 = 8,519
Show A = 8,519
Show B = 6,130
Step-by-step explanation:
Calculate perimeter.
Answer:
152
Step-by-step explanation:
DRAW tHE MISSsiNG NOTE IN THE BLANK IN COmPLEtE EACH mEASURE
Answer:
This is me drawing notes in the blank
Doodle* doodle* drawing noise* drawing noise* There you go ;)
Answer: What is this supposed to mean
Step-by-step explanation:
P.S follow me on ticktok nuggie_dude lol
483 calories and serves 3.5 people . How many calories in each serving?
Answer:
138
Step-by-step explanation:
483/3.5=138
Answer:
The answer is 138, simple math If you know what your doing :)
Step-by-step explanation:
483/3.5=138
You have 90 oz of egg noodles. You need 5 oz to make one serving of chicken noodle soup. How many servings can you make?
Answer: 450 oz
Step-by-step explanation: multiply
Answer:
You can make 18 servings.
Step-by-step explanation:
