The area of a square shaped table is 144/a square meters. Find the length of a side of the table.
Answer: If the area of the square is 144 sq. meter, then the side is 12 meters long.
Step-by-step explanation:
:P
Match each function with its graph (2 points)
f(1) = 1 (1 + 1)(x - 2)
f(x) = -13 +372
Il
f(1) = -1 (1 - 1) (x + 2)
f (2) = + 3x2
30 POINTS ASAPPPPP!!!!!!!!
Question 1 Part C (2 points): Andrew spends 120 minutes in the gym everyday doing strength training and running on the treadmill. He runs on the treadmill for 60 minutes longer than he does strength training.
Is it possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training? Explain your reasoning.
It is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.
what is arthematic equation?
Arithmetic equations are mathematical statements that use numbers and arithmetic operations such as addition, subtraction, multiplication, and division to express the relationship between the quantities involved.
Let's assume that Andrew spends x minutes doing strength training, and according to the problem statement, he spends 60 minutes more running on the treadmill than strength training. So the time he spends running on the treadmill is x + 60.
The total time Andrew spends in the gym is 120 minutes, so:
x + (x + 60) = 120
Simplifying this equation, we get:
2x + 60 = 120
2x = 60
x = 30
Therefore, Andrew spends 30 minutes on strength training and (30 + 60) = 90 minutes on the treadmill.
So, it is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.
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no, it's not possible for andrew to have spent 80 minutes running on the treadmill. if we subtract 80 from 120 (the total) we get 40 which means he had to have spent 40 minutes doing strength training but if we subtract 60 (how many more mins he spent on running than he did strength training) minutes from 80 we get 20. he spent 20 minutes on strength training which adds up to 100 minutes, not 120 minutes.
Four vertices of a rectangle are A(−3, −5) , B(−1, −5) , C(−1, −1) , and D(−3, −1) . Use the Segment tool to draw the four sides of the rectangle.
Answer:
well, I don't have the computer in front me with this question on it, but i can explain how you would do it.
all points, or in this case vertices, are written like this : (x , y)
the x-axis is the one that lies flat and the y-axis is the one going up and down.
in this graph, the y-axis and x-axis are more than likely not centered. so where the y-axis intersects the x-axis is known as the origin. you will start at the origin for plotting all points.
to plot point A : start at the origin and count to the left 3, and then down 5 and thats point A
for point B : start at the origin, count left 1 and then down 5, that's point B
point C : start at the origin, count left 1 and then down 1, that's point C
point D : count left 3 and then down 1, that's point D
after plotting the points, you just need to play "connect the dots" and make the shape a rectangle.
Start at point A, go right point B, up to point C, left to point D then down back to point A again
Step-by-step explanation:
I hope this helps :)
2. Answer each of the following based on the scenario below.
Scenario: You bought a brand new iphone 13 for $1,200. Unfortunately your phone
loses 10% of its value every year.
a. Does this scenario represent exponential growth or decay? De
b. What is the initial value of your phone? 2000
c. What is the growth/decay factor? 10
d. Create a function in exponential form that models how much your phone will be worth
after x years.
f(x) =
e. After 3 years how much will your phone be worth?
. After 8 years how much will your phone be worth?
a) losing value is exponential decay.
b) Initial value is the price you paid = $1,200
c) decay factor is 100% - the percent lost per year = 90%
d) value = starting value x decay factor^ time
f(x) = 1200 x 0.90^x
e) replace x with 3 then 8 and solve:
f(3) = 1200 x 0.90^3 = 874.80
after 3 years it is worth $874.80
f(8) = 1200 x 0.90^8 = 516.56
after 8 years it is worth $516.56
Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?
Answer:
4
Step-by-step explanation:
(3+5+6+2+4) / 5 = ?
(20) / 5 = 4
In a village there are 60 families with 4 members each. Out of
these 28 families speak only Tamil and 20 families speak only
Urdu. How many family members speak both Tamil and
Urdu
Answer:
12
Step-by-step explanation:
28 plus 20 equals to 48 and then each divide 4
The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
Answer:
Length: 3w-4
Step-by-step explanation:
Length: 3w-4
Width: W
*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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Jesse has five meters of twine and needs to cut it into lengths that are each 1/4 of a meter long. How many lengths will he have? Express this problem in a number sentence that uses division.
Answer:
20
Step-by-step explanation:
use the keep, change, flip method to solve fraction division
Brainliest goes to whoever explains the answer best pls help
Answer: (-2,9)
Step-by-step explanation: I did this not too long ago!
Solve equation [2] for the variable y
[2] y = 5x + 19
// Plug this in for variable y in equation [1]
[1] (5x+19) + 3x = 3
[1] 8x = -16
Solve equation [1] for the variable x
[1] 8x = - 16
[1] x = - 2
By now we know this much :
y = 5x+19
x = -2
Use the x value to solve for y
y = 5(-2)+19 = 9
Answer (-2,9)
Use the image to complete the equation below. Do not include any spaces in your answer
Linear pair of angles are supplementary (180°).
So,
(3q) + (15q + 18) = 180°.
use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
A pet store worker weighs each kitten to the
nearest 0.05 kilogram. This dot plot shows the
weights.
Weights of Kittens
1.2
1.3
1.4
Weight (kilograms)
3 How much more does the heaviest kitten
weigh than the lightest kitten?
A 0.3 kg
C 0.25 kg
B 0.5 kg
D 2.4 kg
Binomial Distribution Assignment
A manufacturer of halogen bulbs knows that 3% of the production of their 100 W bulbs will be defective. A carton
contains 12 bulbs.
-What is the probability that exactly 5 bulbs in a carton of 144 bulbs will be defective?
-What is the probability that at most 2 bulbs will be defective?
-What is the probability that at least 1 bulb will be defective?
-What is the probability that between 3 and 6 bulbs will be defective?
7
The binomial distribution is a parametric probability distribution with two parameters, X and B. For a large number of trials, n, binomial probability tends to follow a continuous normal probability distribution.
What is meant by binomial distribution?The binomial distribution is a type of probability distribution that models the likelihood of one of two outcomes given a set of parameters. It sums up the number of trials when each trial has the same chance of achieving a single outcome.
Therefore,
The following is the definition of the Binomial distribution's probability mass function:
P (X = x) = (n x)p x(1p)n x, where x = 0, 1, 2, 3,..., n
Given,
Probability of defective, p = 0.03
Number of bulbs, n = 144
(i) The required probability is P(X = 5).
P(X = 5) = (1445) 0.035(1 − 0.03)144 − 5
= 144151 × (144 − 5) 1 × 0.035(1 − 0.03)144 − 5 ≈ 0.169
Within a carton of 144 bulbs, there is a 0.169 percent chance that 5 of them will be defective.
(ii) The required probability is P(X>2).
P(X>2) = 1 − P(X≤2)
= 1 − P(X = 0) − P(X = 1) − P(X = 2)
= 1 − 144101 × (144 − 0)10.030
Then simplifying,
(1 − 0.03)144 − 0 − 14411 × (144 − 1) 10.031 (1 − 0.03)144 − 1 − 14412 × (144 − 2)10.032 (1 − 0.03)144 − 2
= 1 − 0.01245 − 0.0554 − 0.1226
= 0.810
There is a 0.810 percent chance that there will be more than two faulty bulbs in a carton of 144 bulbs.
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URGENT!!!! Find the y-intercept of the line that passes through the points (-3, 7) and (3, −9).
Answer:
\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)
\(7 = - \frac{8}{3} ( - 3) + b\)
\(7 = 8 + b\)
\(b = - 1\)
\(y = - \frac{8}{3} x - 1\)
The y-intercept is -1.
Suppose you have a dart board hanging on a wall If you throw a dart randomly at the wall, and assuming your dart lands somewhere on the wall , what is the probability that your dart will land a) in region X b) in region c) in region Z
Probabilities are used to determine the chances of events
The probability of landing in region X is 0.087The probability of landing in region Y is 0.109The probability of landing in region Z is 0.153The probability of landing in region XThe area of region X is:
\(A = \pi r^2\)
So, we have:
\(X = 3.14 * 4^2\)
\(X = 50.24\)
The area of the dart is:
\(A = Length * Width\)
\(A = 24 * 24\)
\(A = 576\)
The probability of landing in region X is then calculated as:
\(P(X) = 50.24/576\)
\(P(X) = 0.087\)
The probability of landing in region YThe area of region Y is:
\(A = \pi R^2 - \pi r^2\)
So, we have:
\(Y = 3.14 * 6^2 -3.14 *4^2\)
\(Y = 62.8\)
The probability of landing in region Y is then calculated as:
\(P(Y) =62.8/576\)
\(P(Y) =0.109\)
The probability of landing in region ZThe area of region Z is:
\(A = \pi R^2 - \pi r^2\)
So, we have:
\(Z = 3.14 * 8^2 -3.14 *6^2\)
\(Z = 87.92\)
The probability of landing in region Z is then calculated as:
\(P(Z) = 87.92/576\)
\(P(Z) = 0.153\)
Hence, the probability of landing in region Z is 0.153
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If the treasurer buys 9 packages of brownie bites, how many packages of cookies are needed according to this equation?
Answer:
Step-by-step explanation:
24
The diagram shows a right-angled triangle.
24 cm
18 cm
_Not to scale
Calculate the value oft. Give your answer correct to 1 decimal place.
Answer:
can i have a photo, please?
Step-by-step explanation:
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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A survey of 450 randomly chosen US adults found that 35% of the 200 men and 40% of the 250 women attended a college football game during the past month. Do these data provide statistical evidence at the α = 0.01 level that men are more likely than women to attend football games? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answer:100,000
Step-by-step explanation:
The image below is a triangle drawn inside a circle with center o. which of the following expressions shows the area in square inches of the circle?
A: 3 x 3.14 x 2 ^2
B: 3.14 x 3 ^2
C: 3.14 x 2 ^2
D: 3.14 x 3
< btw can you provide an explanation while answering? I’m a bit lost here lol thank you
Answer:
the answer is 3.14 x 3 ^2
Step-by-step explanation:
the radius is half of 6 so 3 then add pi so 3.14 x 3 ^2
use this same concept for other similar question just divide the full length of the circle in half the radius the just look for the answer that has the radius pi and squared
The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is
For the linear function built from the scatter plot, it is found that:
The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.What is a linear function?The slope-intercept representation of a linear function is the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:
b = 500.
When the input increases by 200, the output increases by 1000, hence the slope is:
m = 1000/2 = 5.
Thus the equation is:
y = 5x + 500.
Missing InformationThe graph is given by the image at the end of the answer.
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Identify the terms and like terms in the expression
t + 8 + 3t =
Answer:
jzjzhsjoqhzjs I I shxaoaas
NO LINKS!!
f(x)= (x^2 + x - 12)/(x^2 + 6x + 9)
Discuss the behavior of f near any excluded x-values/
a. f(x) --> -∞ as x --> 3^+ and as x--> 4^-, f(x) --> ∞ as x --> 4^+ and as x --> 3^-
b. f(x) --> ∞ as x --> 4^+ and as x --> 4^-
c. f(x) --> -∞ as 4^+ and as x --> 4^-, f(x) --> ∞ as 3^+ and as x --> 3^-
d. f(x) --> -∞ as x --> 3^+ and as x --> 3^-, f(x) --> ∞ as x --> -4^+ and as x --> -4^-
e. f(x) --> -∞ as x --> -3^+ and as x --> -3^-
Answer:
e. f(x) --> -∞ as x --> -3^+ and as x --> -3^-
Step-by-step explanation:
You want to know the behavior of f(x)= (x^2 + x - 12)/(x^2 + 6x + 9) near any excluded x-values.
DomainThe function can be factored as ...
\(f(x)=\dfrac{x^2+x-12}{x^2+6x+9}=\dfrac{(x+4)(x-3)}{(x+3)^2}\)
The excluded values are values of x where the denominator is zero. The only excluded value is x = -3. (eliminates all answer choices except E)
Asymptotic behaviorAt either side of x = -3, the sign of the numerator is negative and the sign of the denominator is positive. That makes f(3-) < 0 and f(3+) < 0.
f(x) will never approach +∞, but f(x) approaches -∞ as x nears -3 from either direction.
Answer:
\(\textsf{e)} \quad f(x) \rightarrow -\infty\;\;\textsf{as}\;\; x \rightarrow -3^+ \;\;\textsf{and as}\;\;x \rightarrow -3^-\)
Step-by-step explanation:
Given function:
\(f(x)=\dfrac{x^2+x-12}{x^2+6x+9}\)
Factor the numerator:
\(\implies x^2+x-12\)
\(\implies x^2+4x-3x-12\)
\(\implies x(x+4)-3(x+4)\)
\(\implies (x-3)(x+4)\)
Factor the denominator:
\(\implies x^2+6x+9\)
\(\implies x^2+3x+3x+9\)
\(\implies x(x+3)+3(x+3)\)
\(\implies (x+3)(x+3)\)
\(\implies (x+3)^2\)
Therefore, the rational function is:
\(f(x)=\dfrac{(x-3)(x+4)}{(x+3)^2}\)
As the degree of the numerator is equal to the degree of the denominator, there is a horizontal asymptote at y = 1.
A vertical asymptote occurs at the x-value(s) that make the denominator of a rational function zero.
\(\implies (x+3)^2=0\)
\(\implies x+3=0\)
\(\implies x=-3\)
Therefore, there is a vertical asymptote at x = -3.
As there is a vertical asymptote at x = -3, the excluded x-value is x = -3.
As x approaches x = -3 from both sides, the numerator of the rational function approaches -6 and the denominator approaches a very small positive number. Therefore, the function approaches a very large negative number.
Therefore, the end behaviour of the function as it approaches the excluded value is:
\(f(x) \rightarrow -\infty\;\;\textsf{as}\;\; x \rightarrow -3^+ \;\;\textsf{and as}\;\;x \rightarrow -3^-\)How do you simplify (2/3) with a sqrt of 2
A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately Select one: A. normal because is always approximately normally distributed B. normal because the sample size is small in comparison to the population size C. normal because of the central limit theorem D. None of these alternatives is correct.
Option ( C ) normal because of the central limit theorem is the correct option .
I central limit theorem (CLT) states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size (n), and regardless of the population's actual distribution shape.
Putting it on another way, CLT is a statistical premise that, given a sufficiently large sample size from a population with a finite level of variance, the mean of all sampled variables from the same population will be approximately equal to the mean of the whole population. Further more, these samples approximate a normal distribution, with their variances being approximately equal to the variance of the population as the sample size gets larger.
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PLEASE HELP!
What is the result when the number 78 is increased by 55%?
Answer:
hope this helps
Step-by-step explanation:
.55×78=42.9
78+42.9
=120.9 round off 121
Answer: 120.9 I believe.
Step-by-step explanation:
55% of 78 is 42.9.
(55 x 78 over 100 = 42.9)
Therefore take 78 + 42.9.
120.9
100204180 translate into words
Answer:
One hundred million, two hundred, 4 thousand one, hundred eighty
The word form of 100204180 is One hundred million, two hundred, 4 thousand one, hundred eighty.
Given,
100204180 .
Now,
To write the numerical from in the word form,
100204180 = One hundred million, two hundred, 4 thousand one, hundred eighty.
Thus the number is of the range of hundred million.
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Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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