The width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.
What is a rectangle?A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
Let the width of the rectangle be x.
Given that a rectangular room is 1.2 times as long as it is wide. Therefore, the length is 1.2x.
Perimeter = 2(x + 1.2x)
30 meters = 2(2.2x)
30 = 4.4x
x = 6.82
Hence, the width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.
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The sum of two numbers is -10.5.
Identify two negative addends that make the statement true.
Can one of the addends be positive and the other be negative? Provide an example to prove your answer.
Answer:
-5 and -5.5;
-12.5 and 2
Step-by-step explanation:
Two negative addends, can be added together to give -10.5.
For example:
(-5) + (-5.5) = -5 - 5.5 = -10.5
Also, it is possible for one of the addends to be negative while the other is positive, and their sum will give us -10.5.
For example:
The sum of -12.5 and 2 will give us -10.5.
We are adding a positive and a negative number here. As usual, we will subtract the smaller number from the bigger number, while the result will carry the sign of the bigger number, which in this case is negative sign.
Thus:
(-12.5) + (2) = -10.5
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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Are the lines y= -x-2 and 4x-4y =16 perpendicular? Explain
Answer:
Step-by-step explanation:
Maya earns 43 dollars per week working part-time at a book store. She makes one dollar more for each book that she sells. The amount, A (in dollars), that
Maya earns in a week if she sells b books is given by the following function.
A (b) = 43 + b
How much does Maya earn in a week if she sells 13 books?
Answer:
56
Step-by-step explanation:
It says that Maya makes one dollar more for each book that she sells so if she sells 13 books, she will make 13 dollars more than her weekly earning which is 43 dollars. So to find the answer, you would need to add 13 + 43 which would equal 56 dollars.
Two rovers are exploring a planet. The system of equations below show each rover's elevation y at time x. Without graphing these equations, what conclusion can you make about the system of equations?Rover A: y = 1.6x - 4Rover B: 3y = 4.8x - 12What conclusion can you make about the system of equations?A. The system has infinity many solutions.B. The system has no solution.C. The system has exactly one solution.
A. The system has infinity many solutions.
we can conclude both rovers have the same road, and they started at the same time
Explanation
\(\begin{gathered} y=1.6x-4\text{ Equation(1)} \\ 3y=4.8x-12\text{ Equation(2)} \end{gathered}\)
Step 1
Let
y represents the elevation
x represents the time
to solve for x, multiply equation(1) by -3 and then add the result to Equation (2)
\(\begin{gathered} y=1.6x-4\text{ Equation(1) by -3} \\ -3y=-4.8+4\text{ Equation(3)} \\ \text{now, add equation (3) and equation(2)} \\ \\ -3y=-4.8x+12 \\ 3y=4.8x-12 \\ ----------- \\ 0=0+0 \\ 0=0 \end{gathered}\)when you get a solution like this
\(0=0\)it means the system has infinite solutions,so the answer is
A. The system has infinity many solutions.
we can conclude both rovers have the same road, and they started at the same time.
I hope this helps you
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Weights of Andrews cats are 8 pounds, 15 pounds, 18 pounds, 15 pounds, and 12 pounds. Which statements are true about the weights of Andrews cats? Select the four that apply. A. The mean is 13.6 pounds B. The median is 16 pounds C. The range is 10 pounds D. The mode is 15 pounds E. The mean is greater than the median F. The median and the mode are the same
PLEASE HELP (PUT EXPLANATION)
Answer:
C
Step-by-step explanation:
the range because 18-8 is 10
and the range is the the difference between the smallest number and the biggest number.
A circular garden has a circumference of 40.25 feet. Find the approximate diameter of the garden. Use 3.14 for π. Round to the nearest hundredth if necessary.
__ ft
The approximate diameter of the garden is 12.84 feet.
What is circumference?
The circumference of a circle is the distance around the edge of the circle or It is the perimeter or the length of the boundary of a circle. It is a measure of the total length of the circle, just like the perimeter is the measure of the total length of a polygon. The circumference is also related to the diameter and radius of a circle by the formula:
Circumference = 2πr = πd
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:
r = C / 2π
In this case, we are given that the circumference is 40.25 feet and π is approximately 3.14. Substituting these values into the formula, we get:
r = 40.25 / (2 x 3.14) ≈ 6.42 feet
The diameter of the circle is twice the radius, so we can find the approximate diameter by multiplying the radius by 2:
d ≈ 2 x 6.42 ≈ 12.84 feet
Rounding to the nearest hundredth, we get a diameter of approximately 12.84 feet.
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Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
the table shows the number of pounds that 10 students in gary langs weight training class could bench press and squat. make a scatterplot to display the relationship between the bench press and squat weights for this sample. (use squat as the explanatory variable). describe the relationship shown in the scatterplot
The scatter plot that displays the relationship between the bench press and squat weights for this sample is given by the second image at the end of the answer.
From the scatter plot, it can be taken that the relationship is that the variables have a positive association, as when the bench press weight increases, so does the squat weight. The relationship, however, is not strong, as the scatter plot is not 100% increasing.
How to built the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(bench press weight, squat weight).
From the table given by the first image at the end of the answer, the points are listed as follows:
(95, 141), (111, 208), (113, 100), (125, 218), (135, 284), (145, 275), (165, 338), (180, 338), (140, 420), (196, 420), (95, 141), (111, 208).
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evaluate the function at the given value of the independent variable. simplify the results. (if an answer is undefined, enter undefined.)f(x) = 1/√(x-4)f(x) - f(5) / x - 5
The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).
Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.
We have given function as ,
f(x) = 1/√(x-4)
We have to find f(x) - f(5)/x-5
f(x) = f(5)/x-5 = 1/√(5-4)/(x-5)
= 1/√(5-4)/(x-5)
= (x-5)/√(5-4)
= (x-5)
Therefore, The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).
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Please help asap pls only 1 question I need to finish pls this is middle school homework
Answer:
a,d,b,c
Step-by-step explanation:
Jorge Martin y Andres compraron una pieza grande de que
so en oferta y la dividieron en partes iguales. Jorge le regalo
a su hermana la mitad del queso que le toco que parte de
todo el queso recibió la hermana de Jorge??
Answer:
theres no numbers and its in Spanish
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth if necessary.
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(113.04\text{in}^3\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boexd{\text{The Volume of a Cone is...}}\\\\V=\pi r^2\frac{h}{3}\\\\\boxed{\text{Key:}}\\\\r - \text{radius}\\h- \text{height}\)
⸻⸻⸻⸻
\(\boxed{\text{Calculating the Volume:}}\\\\V = (3.14)6^2\frac{3}{3}\\\\V=(3.14)36\frac{3}{3}\\\\V=\boxed{113.04}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Write four properties of cube numbers?
1. Cubes of all even natural numbers are even.
2. Cubes of all odd natural numbers are odd.
3. The sum of the cubes of first \ (n\) natural numbers is equal to the square of their sum.
4. Cubes of the numbers ending with \ (4, 5, 6\) and \ (9\) are the numbers ending in the same digit. ...
Hope this helps!
Please help ASAP! I’ll give brainlist.
8.5 is the nearest one
square root of 72 is about 8.48
rounding to the nearest tenth gives you 8.5
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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rectangle j is 6 feet wide and 9 feet long rectangle K is 9 feet wide and 12 feet long are the rectangle similar explain
Answer:
NO, they are not similar.
Step-by-step explanation:
Width of rectangle J = 6 ft
Length of rectangle J = 9 ft
Width of rectangle K = 9 ft
Length of rectangle K = 12 ft
Find the ratio of their corresponding dimensions:
Ratio of their width = 6/9 = 2/3
Ratio of the length = 9/12 = 3/4
Their ratio of their corresponding dimensions are not equal. That is, their corresponding dimensions are not proportional to each other. Therefore, they are not similar.
Which inequality is true? QUICK WHOEVER GETS IT GETS BRAINLIES or however you spell it
Answer:
D is correct
Step-by-step explanation:
as negatives grow bigger, the amount is smaller. Like if u owe somone $20, but u ask them for another $5, the number would be = -$25. so -3 1/2 is greater than -4.5
4m = -32 solve for M
will give brainliest.
Answer:
m = -8
Step-by-step explanation:
have a nice day! :)
Answer:
From this quation:
4m = -32
We need to get m, so we can divide both sides by 4:
4m / 4 = -32 /4
m = -8
You can try to replace it to see if it's correct:
4 * 8 = -32
please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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HELP ME PLS I NEED ANSWERS
pls help me. I'm lost
Answer:
f(-2) = 13
g(4) = -9
Explanation:
Whenever a question is asking you to find something like, in this example, f(-2) or g(4), you have to substitute whatever number is in the parentheses for every x in the function with that letter.
Let's try to find f(-2). We have to substitute -2 for every x in the function f and simplify:
\(f(-2) = -2 (-2)^{3} -3\\f(-2) = -2(-8)-3\\f(-2) = 16 - 3 \\f(-2) = 13\)
Therefore, \(f(-2) = 13\).
Next, let's try to find g(4). We have to substitute 4 for every x in the function g and simplify:
\(g (4) = -2(4) - 1\\g(4) = -8-1\\g(4) = -9\)
Therefore, \(g (4) = -9.\)
The conversion rate for 135 Mexican pesos is 7 1/2 American dollars enter the amount of pesos you would get with 50 American dollars
Answer:
900
Step-by-step explanation:
135/7.5= x/50
cross multiply
7.5x=6750
x=900
When I was a child, I once got lost in the grocery store. I'd been begging for weeks to buy the latest new cereal that I thought would make me as strong as a superhero, and I'd found it! Just as my chest swelled as I just knew I would soon be able to fly, I looked around to realize that I had no idea where my mother was. Which would be the BEST detail to add next to the narrative in order to develop the story for the reader? A) Physical details about his mother B) Historical information about American superheroes C) Concrete details about what the author saw and looked for his mother D) None of these choices represent a detail that would advance the story.
Answer:
C) concrete details about what the author saw and looked for his mother
In the similar triangles below , what is the measure of D
In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.
In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.
This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.
To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.
We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.
So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.
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Fine the slope of the line through (20, -8), (9, -8)
Answer: The slope is 0
There are 60 flowers in a bouquet, 24 of which are yellow. What percent of the flowers are yellow?
Answer:
40%
Step-by-step explanation:
-20 greater than or equal to 5w
Answer:
It depends is w is a negative or positive number
Step-by-step explanation:
5w could = 5 x 4 = 20 this is greater than -20
5w could = 5 x -4 = -20 this is equal to -20
hope this helps...
8. The percentage of the moon's surface that is visible to someone on the Earth varies due to
the time since the previous full moon. The moon passes through a full cycle in 28 days. The
maximum percentage of the moon's surface that is visible from Earth is 50%. Find a function
for the percentage, P, of the surface that is visible as a function of the number of days, t,
since the previous full moon.
A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
What is a functiοn?In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.
Here, we have
Given:
Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C
After 14 days, the percentage οf the mοοn is zerο
A = (max-min)/2 = 50/2 = 25
The periοd = 28 days
P = Acοs(BT = t) + c
B = 2π/periοd = 2π/28 = π/14
c = min + A = 0 + 25 = 25
We get,
P = 25cοs(π/14t) + 25,
Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.
Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
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