Could someone help me with this problem?
the length of a rectangle is four times its width. if the perimeter is at most 130 centimeters, what is the greatest possible value for the width? question 3 options: 2w + 2 • (4w) < 130 2w + 2 • (4w) > 130 2w + 2 • (4w) ≤ 130 2w + 2 • (4w) ≥ 130
Answer:
Step-by-step explanation:
Let L be the Length and W be the Width of a rectangle.
We are told that: L = 4W [the length of a rectangle is four times its width]
Perimeter = 2L + 2W
We learn that P ≤ 130 cm
2L + 2W ≤ 130 cm
Substitute L = 4W:
2L + 2W ≤ 130 cm
2(4W) + 2W ≤ 130 cm
10W ≤ 130 cm
W ≤ 13 cm
Options:
2w + 2 • (4w) < 130 Not correct since the < sign does not allow for the "at most 130 cm.")
2w + 2 • (4w) > 130 Must be ≤, not >
2w + 2 • (4w) ≤ 130 This option works since the ≤ sign is correct.
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:!(I think)! the answer might be 0
Step-by-step explanation:
6( 2 - 6o) = -24
6 times (2 - 6o) = -24
Answer:
x=1
Step-by-step explanation:
6(2-6x)=-24open bracket
12-36x=-24
collect like terms-36x=-24-12
-36x=-36
divide both sides by -36
x=1
findings of hypothesis tests do not vary with the significance level you choose, meaning regardless of the alpha level: .10, .05, or .01, our test will have the same conclusion or result.truefalse
Hypothesis tests have the same conclusion or result regardless of the alpha level: .10, .05, or .01. The given statement is false.
The given statement is false. The significance level or alpha level of a hypothesis test specifies the probability of making a Type I error (rejecting a true null hypothesis). It is usually set at .10, .05, or .01, with .05 being the most common.
In hypothesis testing, the significance level is the threshold probability for which a null hypothesis will be rejected. In other words, it is the probability of rejecting a true null hypothesis. The lower the significance level, the greater the evidence needed to reject the null hypothesis.
The result of a hypothesis test is dependent on the level of significance selected. For instance, if the level of significance is set at .05, a test statistic with a p-value of .04 or lower would result in the rejection of the null hypothesis, whereas a test statistic with a p-value of .06 or higher would result in the null hypothesis not being rejected.
Therefore, the findings of hypothesis tests vary with the significance level you choose, meaning that regardless of the alpha level (.10, .05, or .01), our test will not have the same conclusion or result. The result of the test will be influenced by the level of significance selected.
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FENCING Vanessa has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area toenclose at least 1800 square feet. What are the possible widths of the play area? List the smallest width first.
The possible widths of the play area is mathematically given as
w =30 w=60This is further explained below.
What are the possible widths of the play area?Generally, the equation for perimeter is mathematically given as
P =2(l+w)
180 =2(l+w)
2(l+w) =180
\(l+w = \frac{180}{2}\)
l+w =90
A =l \times w
1800 &=l *w
l *w =1800
l *w =1800
Substitute Eq. 3 in the Eq. 2:
l *w=1800
(90-w) *w=1800
90w-ww=1800
90w-w^2=1800
w^2-90 w+1800=0
Therefore
w^2-90 w+1800 =0
\(\left(w^2-30 w\right)+(-60 w+1800) =0\)
w(w-30)-60(w-30) =0
(w-30)(w-60) =0
Thereofre
w =30
w=60
In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.
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a graduate class has 7 students with a grades and 14 students with b grades. calculate the number of ways in which 4 a students can be uniquely selected.
There are 35 unique ways to select 4 A students from 7 A students. This can be calculated using the formula: 7C4 = 7! / (4! * (7 - 4)!)
This is a permutation and combination problem that involves finding the number of unique arrangements possible for 4 students out of 7 students who have received grades A.
The formula for permutation of n items taken r at a time is given by P(n,r) = n! / (n-r)! where n is the total number of items and r is the number of items taken at a time.
In this case, we have to find P(7,4) = 7! / (7-4)! = 5040/3! = 840. This means there are 840 different ways in which 4 A students can be uniquely selected from a class of 7 students who received grades A.
This concept is important in many areas of mathematics and science, particularly in the field of statistics where it is used in hypothesis testing, estimation and prediction.
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Martin drew a triangle. Its sides were
3
cm
3 cm3, start text, space, c, m, end text,
4
cm
4 cm4, start text, space, c, m, end text, and
5
cm
5 cm5, start text, space, c, m, end text.
It has one right angle and two acute angles.
Answer:
It is a right triangle
Step-by-step explanation:
Complete question
Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is ----- and ------ .
First you must know that for a triangle to be right angled, the square of the largest side must be equal to the sum of the square of the other two sides
Given
Largest side c = 5
Other sides a = 3 and b=4
Square of largest side c² =5²=25
Sun of the squares of other two sides = a²+b²
Sum of the squares of other two sides =3²+4²
Sum of the squares of other two sides = 9+16 =25
Since c² =a²+b² according to pythagoras theorem, hence the triangle is right angled
Emma's luggage may be lost with probability p = 0.1. The luggage and its content are estimated to be worth 316.05. Emma's utility insure against the loss of the luggage, what is the maximum insurance premium I that Emma would be willing to pay?
Emma's luggage may be lost with probability p = 0.1. The luggage and its content are estimated to be worth 316.05. Emma's utility insures against the loss of the luggage. What is the maximum insurance premium I that Emma would be willing to pay?
Solution:To calculate Emma's maximum insurance premium, let's start by calculating her expected utility if she doesn't insure her luggage.U (no insurance) = 0.9 x U (316.05) + 0.1 x U (0)where U (316.05) is Emma's utility function for 316.05 value, and U (0) is Emma's utility function for a loss of the luggage. Emma has not insured her luggage, hence, if it gets lost, she will get 0 value for it.A sum of 316.05 is worth more than 0, Emma will still get a certain amount of utility, which will be larger than 0.
Therefore, Emma's utility function is likely to be positive, so let us assume that U (0) = 0.If we plug this information into the above equation, we will have:U (no insurance) = 0.9U (316.05) + 0.1 × 0 = 0.9U (316.05)Hence, Emma's expected utility, if she doesn't insure her luggage, will be 0.9U (316.05).However, if Emma chooses to insure her luggage, she will pay the insurance premium I. If the luggage gets lost, she will get reimbursed by the insurance company for 316.05. Her expected utility function, if she insures her luggage, will be:
U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)Where U (316.05 – I) is Emma's utility function for 316.05 – I value. Emma will get this amount if the luggage is not lost, but she has to pay the premium I.If we compare Emma's expected utility when she insures her luggage and when she doesn't insure her luggage, we will have the following inequality:
U (insurance) ≥ U (no insurance)0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)Let us solve this inequality:0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Since U (316.05 – I) is a decreasing function, it will get smaller as I gets larger.
Hence, to maximize Emma's expected utility, we need to minimize the insurance premium I that she pays to the insurance company.If Emma doesn't insure her luggage, her expected utility will be 0.9U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage.U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Hence,Emma's maximum insurance premium I that Emma would be willing to pay is $31.35.
If Emma chooses to insure her luggage, she will pay the insurance premium I. Her expected utility function, if she insures her luggage, will be U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05). Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Therefore, Emma's maximum insurance premium I that Emma would be willing to pay is $31.35. The utility function is considered decreasing as Emma has to pay more premium.
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What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?
Answer:
You need to know that pairs of two angles are congruent and the pair of sides adjacent to one of the given angles are congruent
Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
In a binomial situation, n=18 and π=0.60. Determine the expected
value
The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.
In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.
In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.
n = 18 (number of trials)
π = 0.60 (probability of success for each trial)
To find the expected value:
E(X) = np
Substitute the given values:
E(X) = 18 * 0.60
Calculate the expected value:
E(X) = 10.8
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Write an inequality and show on a number line all numbers: from (–3) to 2 exclusives.
Answer:
The inequality is -3 < x < 2
The number line is included
Step-by-step explanation:
To express the numbers as an inequality, we have for exclusive numbers the form, [-3, 2] which gives;
-3 < x < 2
We note that an exclusive number (or larger than and lesser than inequality) is represented by an empty in the numbers excluded (for strict equality)
Therefore, we draw a number line with empty circles at number points -3, and 2 as follows;
-4 -3 -2 -1 0 2 1 2 3 4 5
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
might be b but I'm not 100% sure so sorry if it's wrong
The temperature increased from (-3) degrees to (+12) degrees on Friday what was the temperature change over the course of the day
Answer:
+15 degrees
Step-by-step explanation:
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
please help will give brainliest
The explicit rule is 2000 + 3500n
The salesperson has earned $33500 after 9 months since starting the job.
What is Linear Equation?
A linear equation is a mathematical equation that involves two variables and forms a straight line when graphed. It can be represented in the form of y = mx + b, where m is the slope and b is the y-intercept.
The explicit rule for the amount of money the salesperson has earned since starting the job can be given by:
Earnings = 2000 + 3500n
Where n represents the number of months since the salesperson started the job.
To find out how much money the salesperson has earned after 9 months, we can substitute n = 9 in the above formula:
Earnings = 2000 + 3500(9)
= 2000 + 31500
= $33500
Therefore, the salesperson has earned $33500 after 9 months since starting the job.
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At a nut shop, a 3-pound bag of cashews costs $39, and a 5-pound bag of almonds costs $55. What is the cost per pound for each type of nut? Show your work.
What is the value of x?
70°
35°
А. 350
В. 950
ООО
С. 105°
D. 75
will mark brainlyist if right please helpp!!
Answer:
Step-by-step explanation:
Please help, I’ll mark your answer as brainliest.
When the full season tickets first went on sale,2,000 Full season tickets sold for Section N. Two weeks after the tickets first went on sale, another 1,500 full season tickets were sold for section N. How much money spent on full season tickets for section N in total? How much more money was spent when the tickets first went on sale than after the first two weeks.
Image showing the arena ticket prices is missing, so i have attached it.
Answer:
$10000 more money was spent when the tickets first went on sale than after the first 2 weeks
Step-by-step explanation:
We are told that when the full season tickets first went on sale, that 2000 full season tickets were sold for section N.
Now, from the area ticket prices table attached, we can see that full season tickets for Section N costs $20
Thus, amount of money spent when the tickets first went on sale = 2000 × 20 = $40000
We are told that 2 weeks after the tickets first went on sale, they sold 1500 tickets. Thus, amount spent after 2 weeks release = 1500 × 20 = $30000
Difference in amount spent at the beginning and after 2 weeks = $40000 - $30000 = $10000
Thus, $10000 more money was spent when the tickets first went on sale than after the first 2 weeks
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x) = 3x2 - 1500x + 199,000 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost. a. How many bicycles must be manufactured to minimize the cost? bicycles
To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).
We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):
C'(x) = 6x - 1500
Now we set C'(x) = 0 and solve for x:
6x - 1500 = 0
6x = 1500
x = 250
Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.
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When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way ANOVA is appropriate.a. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. b. It is appropriate to compare two means at a time with independent two sample t-tests but it might be time-consuming.c. It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a 'Multiple Testing' problem. The one-way ANOVA controls for the Type I Error and should be used instead.
According one-way ANOVA, the test is false.
We learn about one-way ANOVA
"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."
According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample t-tests. It will create multiple testing problem and error.
So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one factor/treatment and compare two means at a time using multiple independent two sample t-tests is false.
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how many 4-digits numbers are there with exactly one digit 3 and exactly one digit 7 such that 7 appears before 3? justify your answer
There are 128 four-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7, with 7 appearing before 3).
To determine the number of 4-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7 with 7 appearing before 3), we can break down the problem step by step.
Step 1: Choose the positions of 3 and 7.
Since 7 must appear before 3, we have two possible cases:
Case 1: 7 is in the thousands place, and 3 is in the hundreds place.
Case 2: 7 is in the hundreds place, and 3 is in the thousands place.
Step 2: Determine the digits in the remaining two positions.
In the remaining two positions (tens and units place), we have eight possible digits to choose from (0, 1, 2, 4, 5, 6, 8, 9). This is because we have used the digits 3 and 7, leaving eight options for the remaining two positions.
Step 3: Calculate the total number of valid numbers.
For each case in Step 1, we multiply the number of choices from Step 2 to get the total count.
Case 1: 7 in thousands place, 3 in hundreds place.
In this case, we have 8 choices for the tens place and 8 choices for the units place. The total count for Case 1 is 8 * 8 = 64.
Case 2: 7 in hundreds place, 3 in thousands place.
Similarly, we have 8 choices for the tens place and 8 choices for the units place. The total count for Case 2 is also 8 * 8 = 64.
Step 4: Sum up the counts from both cases.
To get the final answer, we sum up the counts from both cases:
64 (Case 1) + 64 (Case 2) = 128.
Therefore, there are 128 four-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7, with 7 appearing before 3).
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can someone help me some this
Answer:
just think(0,6) as A,(4,-2) as B and (6,0)as C then join ABC and you will get your's parabola
Answer:
\(y = \dfrac12x^2 - 4x + 6\)
Step-by-step explanation:
vertex form of parabola: y = a(x - h)² + k
where (h, k) is the vertex
Given vertex = (4, -2) :
⇒ y = a(x - 4)² - 2
Given y-intercept = (0, 6) substitute values into equation and solve for a:
⇒ 6 = a(0 - 4)² - 2
⇒ 6 = 16a - 2
⇒ 16a = 8
⇒ a = 1/2
Therefore, equation of parabola:
⇒ y = 1/2(x - 4)² - 2
⇒ y = 1/2(x² - 8x + 16) - 2
⇒ y = (1/2)x² - 4x + 6
the school picnic is a two-day weekend event. it has been scheduled for may. the area routinely gets 16 rainy days in may. what is the probability that the weekend will be dry?
The probability of the weekend being dry for the school picnic is approximately 23.4%.
First, let's define some terms:
1. Probability: The likelihood of a specific event happening
2. Picnic: The school event that is scheduled for a two-day weekend in May
3. Rainy: Refers to days with rain
Now, let's calculate the probability that the weekend will be dry:
There are 16 rainy days in May, and May has 31 days. So, there are (31 - 16) = 15 dry days in May.
Each weekend has two days. Since May has 31 days, there are (31 / 7) = approximately 4.43 weeks in May. To account for the remaining days, we round down to 4 weeks and add the remaining 2 days as another weekend, resulting in 5 weekends.
Now, we'll determine the probability of having a dry day on any given day in May:
Dry day probability = (number of dry days) / (total days in May) = 15 / 31 ≈ 0.484
Since we want the probability of having two consecutive dry days (the whole weekend), we'll multiply the probabilities of each day being dry:
Weekend probability of being dry = (dry day probability) * (dry day probability) ≈ 0.484 * 0.484 ≈ 0.234
So, the probability of the weekend being dry for the school picnic is approximately 23.4%.
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An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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26. What does an algorithmic state machine offer that is not provided by either a Moore or a Mealy machine?
An algorithmic state machine (ASM) is a type of finite-state machine that is designed specifically for describing the behavior of an algorithm.
ASM offers several advantages over Moore and Mealy machines, including:
Ease of design: ASM allows for a more intuitive and structured approach to designing algorithms, as it provides a clear separation between the control and data paths.
Modularity: ASM allows for the design of complex algorithms by breaking them down into smaller, more manageable modules, which can be independently designed and tested.
Scalability: ASM allows for the easy addition of new functionality to an algorithm by simply adding new modules or modifying existing ones.
Reusability: ASM provides a high degree of code reuse, as modules can be easily combined to form new algorithms.
Flexibility: ASM can handle a wider range of input and output conditions than either Moore or Mealy machines, making it more versatile in many applications.
Overall, an ASM offers a more powerful and flexible approach to algorithm design than either a Moore or a Mealy machine.
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Romeo paid $380.75 in cr repairs. The sales tax rate is 7.5 %. Which of th efollowing is a reasonable estimate for the total Romeo paid to repair his car?
A reasonable estimate for the total Romeo paid to repair his car is $409.31
What is tax?A tax simply means a compulsory levy that the people and company will pay to the government. Taxes are necessary contributions levied by a government entity, whether local, regional, or national, on individuals or corporations. Taxation funds government activities such as public works and services such as roads and schools, as well as programs such as Social Security and Medicare.
In practically every country throughout the world, governments levy compulsory levies on persons or entities. Taxation is primarily used to generate income for government expenses, but it can also be used for other purposes. Collecting taxes and fees is a vital way for countries to earn public money, which allows them to support investments in human resources, infrastructure, and the delivery of services to citizens and enterprises.
In this case, Romeo paid $380.75 in repairs, and the sales tax rate is 7.5 %. The total amount to be paid will be:
= Amount in repairs + Tax
= $380.75 + (7.5% × $380.75)
= $380.75 + $28.56
= $409.31
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1)
3 m
+
The net for a cube is shown. Find the surface area of the cube.
18 m2
B)
36 m2
09
54 m2
D)
81 m2
Answer:
Step-by-step explanation:
Area of one face = 3×3 = 9 m²
A cube had six faces, so surface area of cube = 6×9 = 54 m²
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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