The best prediction for the end behavior of the graph of f(x) is:
As x → ∞, f(x) → ∞, and as x → -∞, f(x) → -∞.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range.
Looking at the table, we can see that as x moves from negative to positive, the values of f(x) first increase, then reach a maximum at x=3, and then decrease. Also, as x moves farther away from 0 in either direction, the absolute values of f(x) increase.
Therefore, the best prediction for the end behavior of the graph of f(x) is:
As x → ∞, f(x) → ∞, and as x → -∞, f(x) → -∞.
This is because as x becomes very large (either positively or negatively), the absolute value of f(x) becomes very large as well, but in opposite directions (positive infinity or negative infinity), since the function is decreasing in both directions.
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Divide. Write the missing
numbers.
62) 5,472
1
9
16
R
62 5 4 7 2
"
R
9
1 6
(Type whole numbers.)
we get the quotient as 161 and remainder as 11.So the missing numbers are:R = 11
9, 1, 6
What is long division method ?First divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.
To divide 5,472 by a two-digit number, we can use long division method as follows:
34) 5 4 7 2( 34
- 4 0
______
1 4 7
- 1 3 6
_______
1 1
Therefore, we get the quotient as 161 and remainder as 11.
So the missing numbers are:
R = 11
9, 1, 6
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You are enclosing a circular flower garden with a fence that costs 2.99 per foot. The radius of the garden is 7 feet. How much will it cost to buy the fence?
Answer:
460.46
Step-by-step explanation:
If a fence costs $2.99 per foot, the cost of the feence will be 154(2.99) = $460.46
How to find the area of the circular flour
The formula for finding the area of a circle is expressed as:
A = πr²
r is the radius of the circle
Given that r = 7 feet
A = π(7)²
A = 49 * 22/7
A = 22 * 7
A = 154 square feet
If a fence costs $2.99 per foot, the cost of the fence will be 154(2.99) = $460.46
a random sample of 120 cast aluminum pots is taken from a production line once every day. the number of defective pots is counted. the proportion of defective pots has been closely examined in the past and is believed to be 0.05. what are the upper and lower control limits for the
The upper control limit for the p-chart is 0.111, and the lower control limit is 0.003.
To calculate the upper and lower control limits for a p-chart, we need to use the following formula:
UCL = p' + 3√(p'(1-p')/n)
LCL = p' - 3√(p'(1-p')/n)
Where p' is the mean proportion of defective pots, n is the sample size (in this case, 120), and UCL and LCL are the upper and lower control limits, respectively.
Given that the proportion of defective pots is believed to be 0.05, we can calculate the mean proportion of defective pots as:
p' = 0.05
Substituting this value in the above formula, we get:
UCL = 0.05 + 3√(0.05(1-0.05)/120) = 0.111
LCL = 0.05 - 3√(0.05(1-0.05)/120) = 0.003
Any sample proportion of defective pots falling outside these limits would be considered statistically significant and warrant further investigation to identify the root cause of the defects in the production process.
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Complete question is:
A random sample of 120 cast aluminum pots is taken from a production line once every day. the number of defective pots is counted. the proportion of defective pots has been closely examined in the past and is believed to be 0.05. what are the upper and lower control limits for the p' chart.
Help solve this! ASAP
Answer:
2
Step-by-step explanation:
You want the average rate of change of f(x) = -x² -2x +6 on the interval [-7, 3].
Average rate of changeThe average rate of change of f(x) on the interval [a, b] is computed as ...
m = (f(b) -f(a))/(b -a)
For the given function f(x), this is ...
m = (f(3) -f(-7))/(3 -(-7)) = (-9 -(-29))/10 = 20/10 = 2
The average rate of change of f(x) on the interval [-7, 3] is 2.
__
Additional comment
The derivative of the function is f'(x) = -2x -2. The midpoint of the interval is x = (-7 +3)/2 = -2. The value of the derivative at the midpoint is equal to the average rate of change on the interval:
-2(-2) -2 = 4 -2 = 2 . . . . average slope between x=-7 and x=3.
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What’s the first term for 3, 7, 11, 15, 19, 23
Therefore, the first term of the sequence is 3.
What is sequence?A sequence is an ordered list of numbers, usually generated by a pattern or a rule. Each number in the sequence is called a term, and the position of a term in the sequence is called its index. Sequences can have a finite or infinite number of terms, and they can be defined in various ways, such as recursively (where each term is defined in terms of the previous terms) or explicitly (where the formula for each term is given).
Here,
The given sequence is an arithmetic sequence, where the common difference between consecutive terms is 4. To find the first term, we can use the formula for the nth term of an arithmetic sequence, which is:
an = a1 + (n - 1)d
where an is the nth term, a1 is the first term, n is the position of the term in the sequence, and d is the common difference.
For this sequence, we know that a6 = 23 (since 23 is the last term given in the sequence), n = 6, and d = 4. Substituting these values into the formula, we get:
a6 = a1 + (6 - 1)4
23 = a1 + 20
a1 = 23 - 20
a1 = 3
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Complete question:
What’s the first term for the given sequence: 3, 7, 11, 15, 19, 23?
in the equation, is a(n) _____. a. dependent variable b. slope parameter c. intercept parameter d. independent variable
In the equation, y=β_0+β_1 x_1+β_2 x_2+u, β_2 is a(n) slope parameter. Option B is the correct answer.
In the given equation, y is the dependent variable, x1, and x2 are independent variables, β0 is the intercept parameter, β1 is the slope parameter for x1, β2 is the slope parameter for x2, and u is the error term. Therefore, β2 represents the effect or impact of the independent variable x2 on the dependent variable y, holding other independent variables constant.
Understanding the role and significance of each parameter is essential for interpreting the results of statistical models and drawing meaningful conclusions from the data.
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The question is -
In the equation, y=β_0+β_1 x_1+β_2 x_2+u, β_2 is a(n) _____.
a. independent variable
b. dependent variable
c. slope parameter
d. intercept parameter
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 64, and then went down by 50% in 2012. How many robberies were there in Springfield in 2012?
Answer: 32
Step-by-step explanation:
50% of last year is divided by 2 (50/100 = 1/2). 64/2 = 32
PLS HURRY!!
A survey is taken at a mall in Westingbrook. The first 75 people who entered the mall were asked about their favorite restaurant in the food court. What is true about this situation? The population is the first 75 people at the mall, and the sample is the total number of people who go to the mall. O The population is the total number of people who go to the mall, and the sample is the first 75 people at the mall. The population is the number of people who go to the mall, and the sample is the number of people in the town of Westingbrook. O The population is the number of people in the town of Westingbrook, and the sample is the number of people who go to the mall.
The answer to this problem is "The population is the total number of people who go to the mall, and the sample is the first 75 people at the mall".
What is true about this situation?
When conducting a survey, it's important to carefully define the population of interest and the sample being surveyed. The population is the entire group that you want to draw conclusions about, while the sample is the group of individuals that you actually survey. In this situation, the population of interest is the total number of people who go to the mall, as this is the group that we want to make inferences about.
The sample is the first 75 people who entered the mall and were asked about their favorite restaurant in the food court. This sample was likely selected in a way that is meant to be representative of the larger population of mall-goers. However, it's worth noting that the sample is still a subset of the population, and therefore there is some risk of sampling error. For example, if the first 75 people who entered the mall were all from the same demographic group, the survey results might not be representative of the larger population.
Overall, it's important to be clear about the population and sample when conducting a survey, as this helps to ensure that the results are meaningful and accurate.
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es meet at right angles.) 6 m 2 m 3 m 5 m grass cement 2 m 4 m square meters
The area of the cement part is 24 m².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the part with cement. we use the formula below
Formula:
Area of the part with cement = Area of the backyard-Area of the grassA = LW-lw....................... Equation 1Where:
A = Area of the part with cementL = Length of the backyardW = Width of the backyardl = Length of the cementw = Width of the cementFrom the question,
Given:
L = 5 mW = 6 ml = 3 mw = 2 mSubstitute these values into equation 1
A = (5×6)-(2×3)A = 30-6A = 24 m²Hence, the area is 24 m².
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Write an exponential function, f( x), to represent the number of new participants of the challenge as a function of the day number, x
The exponential function that represents the number of new participants as a function of the day number is:
f(x) = 12 * 4ˣ
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
Let's assume that each person who receives a selfie and accepts the challenge sends selfies to 4 new friends the next day.
Then, the number of new participants on Day 1 will be the number of friends that Aliyah, Kim, and Reese each sent selfies to, which is 4 friends each, or a total of 12 new participants.
On Day 2, the 12 new participants each send selfies to 4 new friends, resulting in 4*12 = 48 new participants.
On Day 3, the 48 new participants each send selfies to 4 new friends, resulting in 4*48 = 192 new participants.
We can see that the number of new participants is growing exponentially, with each new day resulting in a larger number of new participants than the previous day.
To write an exponential function that represents the number of new participants as a function of the day number, we can use the general form of an exponential function:
f(x) = a * bˣ
where a is the initial value (the number of new participants on Day 1), b is the growth factor (the factor by which the number of new participants increases each day), and x is the day number.
In this case, we know that a = 12 (the initial number of new participants) and b = 4 (the factor by which the number of new participants increases each day, since each participant sends selfies to 4 new friends).
Therefore, the exponential function that represents the number of new participants as a function of the day number is:
f(x) = 12 * 4ˣ
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need help! please give example if can
The two statements are;
The area of sector 1 is 20n² + 15n square meters
The total distance around the garden is 20n + 2 meters
Option A and C
How to determine the valueThe formula for the area of a rectangle is expressed as;
A = lw
Such that the parameters are;
A is the area of the rectangle l is the length of the rectanglew is the width of the rectangleFor the first sector, we have that;
Length = 4n + 3
Width = 6n - 2 - 5n = n - 2
Substitute the values
Area of sector 1 = (4n + 3)(5n)
expand the expression
Area of sector 1 = 20n² + 15n square meters
Area for the sector 2
Area = (3n - 3)(n -2)
expand the bracket
Area = 3n² - 6n - 3n + 6 = 3n² - 9n + 6
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WILL MARK BRAINLIST! PLEASE ANSWER ASAP
(08.03;08.04 MC) A group of 10 students participated in a quiz competition. Their scores are shown below: 4, 4, 3, 4, 3, 12, 4, 3, 2, 3 Part A: Would a dot plot, a histogram, or a box plot best represent the data shown above if the purpose of the graph is to highlight the frequency of each individual score? Explain your answer. (4 points) Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Part A: A dot plot would best represent the data shown because a dot plot shows each data point as a dot along a number line, making it easy to see the frequency of each individual score.
Part B: we follow the steps described below to plot a dot plot:
Draw a number line with a range that includes all the data points.Mark each data point with a dot above its corresponding value on the number line.If multiple data points have the same value, stack the dots vertically to show the frequency of that score.What is a dot pot?
A dot chart or dot plot is described as a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles.
The stacked dots in the plotted graph reflect the frequency of each score, and the dots themselves represent the individual scores.
The figure reveals that 4 and 3 were the most frequent scores, respectively, and that a score of 12 was an exception.
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Need help ASAP!!! It’s due today….
Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.
Explain about the linear function:Any function which it graphs as a straight line is said to be linear. Mathematically speaking, this indicates that the function contains one or two variables, but neither exponents nor powers.
If the function seems to have more variables, they must all be constants or well-known variables in order for the function to continue to be linear.A two-variable linear equation can be thought of as a linear relationship involving x and y, or two variables whose values rely on each other (often y and x) (usually x). Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.Given linear function:
y = 2x - 3 ; with x = 4
To get the value of y ,put x = 4 in the given function:
y = 2(4) - 3
y = 8 - 3
y = 5
Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.
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correct question:
Find the value of y for the given value of 'x'.
y = 2x - 3 ; x = 4
Help me pls!!! Ty :)
Answer:
45°
Step-by-step explanation:
is an opposite angle, therefore congruent, same value 45°
Answer:
45
Step-by-step explanation:
hello, the answer is 45
there are four blood types, and not all are equally likely to be in blood banks. in a certain blood bank, 49% of donations are type o blood, 27% of donations are type a blood, 20% of donations are type b blood, and 4% of donations are type ab blood. a person with type b blood can safely receive blood transfusions of type o and type b blood. what is the probability that the 4th donation selected at random can be safely used in a blood transfusion on someone with type b blood? ( to the nearest thousandth)
The probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69.
How to find the probability?Since a person with type B blood can safely receive blood transfusions of type O and type B blood, the fourth donation selected at random must be either type O or type B blood. From the information given, the probability of the fourth donation being type O blood is 49%, and the probability of it being type B blood is 20%. Therefore, the probability that the fourth donation can be safely used in a blood transfusion on someone with type B blood is:
P(type O or type B) = P(type O) + P(type B) = 0.49 + 0.20 = 0.69
So, the probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69 (rounded to the nearest thousandth).
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A rectangular prism has a length of 113yards, a width of 212 yards, and a height of 4 yards. Enter the volume of the prism as a mixed number in simplest form in the box.
____ yd³
EXPLANATION
Given the dimensions of a rectangular prism:
Length = 113 yards
Width: 212 yards
Height: 4 yards
We have to find its volume.
The volume of a prism is the product of its dimensions,
Hence, the volume of this prism is 95,824 cubic yards.
Which expression can be used to find the surface area of the following rectangular prism? Choose 1 answer: (Choice A) A 15+15+10+10+6+615+15+10+10+6+615, plus, 15, plus, 10, plus, 10, plus, 6, plus, 6 (Choice B) B 10+10+6+610+10+6+610, plus, 10, plus, 6, plus, 6 (Choice C) C 15+15+10+10+615+15+10+10+615, plus, 15, plus, 10, plus, 10, plus, 6 (Choice D) D 10+610+6
The expression used to calculate the surface area of the rectangular prism is given by option b. 2×6 + 2×10 + 2×15.
Let us consider 'l' be the length of the rectangular prism.
'w' be the width of the rectangular prism .
'h' be the height of the rectangular prism.
From the attached figure we have,
Length of the rectangular prism l = 3 units
Width of the rectangular prism w = 2 units
Height of the rectangular prism h = 5 units
Surface of the rectangular prism = 2(lw + wh + hl )
Substitute the values in the formula we get,
⇒Surface of the rectangular prism = 2 (3×2 + 2×5 + 5×3 )
⇒Surface of the rectangular prism = 2 ( 6 + 10 + 15)
⇒Surface of the rectangular prism = 2×6 + 2×10 + 2×15
Therefore, the surface area of the rectangular prism with given dimensions is equal to option b. 2×6 + 2×10 + 2×15.
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The above question is incomplete, the complete question is:
Which expression can be used to find the surface area of the following rectangular prism?
Attached figure.
How can I turn this equation into standard form
Answer:
which equation i cant see a question or a photo of question
I need help with this it's hard. Thanks!
The measure of angle JKL is 105⁰.
The measure of angle KJM is 75⁰.
What is the property of opposite angles of isosceles trapezoid?
In an isosceles trapezoid, the property of opposite angles is that they are congruent or equal in measure. Specifically, the two angles that are formed by the intersection of the non-parallel sides with the bases of the trapezoid are opposite angles, and they have the same measure.
The measure of angle JKL is calculated as;
m∠JKL = 27⁰ + 78⁰ = 105⁰
m∠JKL = 105⁰
The measure of angle KJM is calculated as;
m∠KJM = ¹/₂ (360 - 2x105)
m∠KJM = 75⁰
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A counter in Adriana's kitchen is 1 meter wide and 3 meters long. Adriana wants to replace the counter with a granite countertop, which would cost $261.00 per square meter. How much would the granite countertop cost?
The granite countertop would cost $783.00.
Finding the cost of granite:
To find the cost of granite find the amount of granite that can be used for the entire kitchen.
Since the kitchen floor is in a rectangle shape find the area of the kitchen floor using the area of a rectangle. Which will equal the amount of granite used for the kitchen.
Use the formula for the cost of the countertop, which is the product of the area, and the cost per square meter, to determine the total cost.
Here we have
A counter in Adriana's kitchen is 1 m wide and 3 m long.
Hence, the area of the countertop can be found by multiplying the length and the width:
Area of kitchen = length x width = 3 m x 1 m = 3 m²
The cost of the granite is given by $ 261.00 per square meter
The cost of the granite countertop will equal the product of the area and the cost per square meter:
Total Cost = 3 m² x $261.00/m² = $783.00
Therefore,
The granite countertop would cost $783.00.
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answer the next 3 questions using the following information: a project has three activities a, b, and c that must be carried out sequentially. the probability distributions of the times required to complete each of the activities a, b, and c are uniformly distributed in intervals [1,5], [2,3] and [3,6], respectively. find the total project completion time and run 1000 simulation trials in excel.
To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.
The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.
The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.
The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.
Therefore, the total project completion time is:
Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10
To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.
Here are the steps to run 1000 simulation trials in Excel:
1. In cell A1, enter "Trial" as the column header.
2. In cell B1, enter "Time for Activity A" as the column header.
3. In cell C1, enter "Time for Activity B" as the column header.
4. In cell D1, enter "Time for Activity C" as the column header.
5. In cell E1, enter "Total Project Completion Time" as the column header.
6. In cell A2, enter "1" as the first trial number.
7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.
8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.
9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.
10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.
11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.
12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.
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a box model will be used to keep track of the number of winning plays for a gambling game that has chance 15% of winning and 85% of losing. is it appropriate to use the normal approximation to find the chance of winning at least 10 times out of 75 total plays of the game?
Yes , it is appropriate to choose normal approximation to calculate the chance of winning at least 10 times out of 75 total plays of game.
Use the normal approximation,
Chance of winning at least 10 times out of 75 total plays of the game,
Conditions for using the normal distribution are met.
Binomial distribution can be approximated by the normal distribution,
The number of trials 'n' is large enough usually n > 30.
The probability of success 'p' is not too close to 0 or 1.
The trials are independent.
Here,
n = 75 trials and p = 0.15 probability of winning.
To check if the normal approximation is appropriate,
Calculate the mean and standard deviation of the binomial distribution,
mean = n × p
= 75 × 0.15
= 11.25
Standard deviation
= √(n × p × (1 - p))
= √(75 × 0.15 × 0.85)
= 3.09
Mean is 11.25 and the standard deviation is 2.44.
The condition for independence is satisfied since each play is independent of the others.
If the other two conditions are met,
Check if np and n(1-p) are both greater than or equal to 10,
np = 75 × 0.15
= 11.25
n(1-p) = 75 × 0.85
= 63.75
Both np and n(1-p) are greater than or equal to 10,
So the conditions for using the normal approximation are satisfied.
Therefore, it is appropriate to use the normal approximation to find the chance of winning at least 10 times out of 75 total plays of the game.
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Select all expressions equivalent to 162x^2 – 72.
2(9x - 6)^2
2 (81x^2 – 36)
2 (9x - 6) (9x + 6)
18(3x^2 – 2)^2
18 (3x - 2) (3x + 2)
Expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72.[/tex]
What is expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a quantity. It can consist of constants, variables, arithmetic operators, and other mathematical functions or operations.
According to given information:The expression [tex]162x^2 - 72[/tex] can be factored using the difference of squares formula: [tex]a^2 - b^2 = (a+b)(a-b)[/tex].
First, we can factor out 18 from the expression:
[tex]162x^2 - 72 = 18(9x^2 - 4)[/tex]
Now, we can apply the difference of squares formula by setting a = 3x and b = 2:
[tex]9x^2 - 4 = (3x)^2 - 2^2 = (3x + 2)(3x - 2)[/tex]
Substituting this back into the original expression, we get:
[tex]162x^2 - 72 = 18(9x^2 - 4) = 18(3x + 2)(3x - 2)[/tex]
Therefore, expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72[/tex].
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hi can u guys help me please
Answer:
1. a.) The x intercepts are 7 and negative 3.
b.) The y-intercept is -21
2. C
3. a.) 4
b.) 4 and 1
Step-by-step explanation:
1 a.)The x intercepts can be found by setting y to 0, and solving for x for each factor individually.
0=x-7
7=x
0=x+3
-3=x
b.)The y-intercept can be found by multiplying the factors and looking the stand-alone number at the end of the equation. This can also be solved mathematically by replacing the x's in the equation with 0.
[tex]y=(x-7)(x+3)\\y=x^2-7x+3x-21\\y=x^2-4x-21\\y=(0)^2-4(0)-21\\y=-21[/tex]
2.) Based on the graph we can see the line intercepts the x-axis at -1 and 3. So if we were to put this into factored form, the numbers would be opposite when paired with x. Hence
(x-3)(x+1)
3 a.) Again, this can be found by observing the number by itself at the end of the equation or mathematically by changing x to 0
[tex]y=(0)^2-5(0)+4\\y=4[/tex]
b.) As stated previously, this can be found by setting the y to 0 and solving the factors.
[tex]0=(x-4)(x-1)\\0=(x-4)\\4=x\\0=x-1\\1=x[/tex]
Jody bought 20 shares of Amazon at the close price of $121.00. She bought
20 more shares a year later at the price of $127.00. Two years later, she sold
all of her shares at the price $133.00. If her broker charges $40 for each
transaction, how much money will Jody have after selling her shares?
OA. $5320.00
OB. $5160.00
OC. $5280.00
D. $5430.00
The money Jodi will have after selling her shares will be B. $5160.00
What is meant by selling?
Selling typically refers to the exchange of goods or assets for money or other valuable consideration. It is the process of transferring ownership of a product or item from the seller to the buyer in return for an agreed-upon price or value.
What is meant by shares?
Shares refer to units of ownership in a company or corporation. When a company sells shares, it is raising funds from investors who then become shareholders and have a claim on the company's profits and assets.
According to the given information
Jody bought 20 shares of Amazon at $121.00, which costs her 20 x $121.00 = $2420.00.
One year later, she bought 20 more shares at $127.00, which costs her 20 x $127.00 = $2540.00.
The total cost of buying all the shares is $2420.00 + $2540.00 = $4960.00.
Jody sold all her shares two years later at $133.00 per share, which gives her 40 x $133.00 = $5320.00.
Her total profit is $5320.00 - $4960.00 = $360.00.
After deducting the broker's fees, Jody will have $360.00 - $80.00 = $280.00.
Therefore, the correct answer is option B. $5160.00.
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Select three expressions equivalent to 36x + 18y.
Answer:
3(12x+6y)
6(6x+3y)
9(4x+2y)
Answer:
Here are three equivalent expressions to 36x + 18y:
18(2x + y)
9(4x + 2y)
6(6x + 3y)
Step-by-step explanation:
HELLLPPP Quick
What is the mean of this data set?
12, 17, 16, 10, 20
35
25
15
Answer:
15
Step-by-step explanation:
The numbers in the given data = 12, 17, 16, 10, 20
Total number = 5
12 + 17 + 16 + 10 + 20 = 75
Mean = 75/5
Mean 15
Can someone help me asap? It’s due tomorrow.
Answer:
I would say convenience sampling. It's hard to tell. Sampling every other person is like systematic sampling, BUT convenience sampling would be to sample people that are easy to reach.
At a soda fountain 22 quarts of ice cream were used to make 105 milk shakes. How many quarts are needed to make 922 milk shakes?
193.18 quarts of ice cream are needed to make 922 milkshakes.
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
A proportion is an equation that sets two ratios at the same value.
To find the number of quarts needed to make 922 milkshakes, we can set up a proportion:
22 quarts / 105 milkshakes = x quarts / 922 milkshakes
Cross-multiply:
[tex]22\times 922 = 105 \times x[/tex]
Calculate the products:
[tex]22 \times 922 = 105 \times x[/tex]
Divide by 105 to solve for x:
[tex]20284 \times 105 = x[/tex]
Calculate the quotient:
[tex]20284 \times 105 = x[/tex]
Therefore, approximately 193.18 quarts of ice cream are needed to make 922 milkshakes.
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A paper distributor offers discounts to individuals who buy in quantity. They offer a 10 percent discount for orders of 50 -100 boxes of paper, a 20 percent discount for orders of 100 - 200, and a 30 percent discount for orders of 200 boxes or more. If Lee placed an order of 140 boxes (each box is $2.50), what would his discount and final price be?
His discount and final price be $280 for his order of 140 boxes.
What is Discount ?A discount is a drop in a product's or service's price.
It is frequently provided as a perk to customers to entice them to buy. Discounts are often stated as a percentage or dollar amount off the list price.
Depending on the sort of discount and the situation, discounts can be computed in a variety of ways.
For instance, a product that costs $100 would have a discounted price of $80 with a 20% discount applied. Similar to this, a product that costs $50 would have a discounted price of $40 if it received a $10 reduction.
In marketing and sales, discounts are frequently used to draw customers and boost sales volume.
What percentage is it?The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his maths test.
In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is read as "percent" or "percentage."
This percent symbol can always be changed to a fraction or decimal equivalent by using "divided by 100."
Exampe of Percentage :-
10% = 10/100 ( = 1/10 (or) 0.1)
25% = 25/100 ( = 1/4 (or) 0.25)
According to question
Lee qualifies for a 20% discount because his order of 140 boxes falls within the range of 100-200 boxes.
Since each box originally cost $2.50, the full price of 140 boxes, after any discounts, is:
140 * $2.50 = $350
The 20% Lee discount is determined as follows:
20% * $350 = $70
Lee's discount is therefore $70, and his adjusted price is as follows:
$350 - $70 = $280
Therefore, Lee will ultimately pay $280 for his order of 140 cartons.
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