Answer:
√(25×25)=√25²=±25 is your answer
. A rectangular field is 80 meters long and 40 meters wide. Calculate the area of the field.
Answer:3200 m²
Step-by-step explanation: length times width so 80*40
Answer: 3,200 meters
Step-by-step explanation:
Area of a rectangle = length times width
A=lw
A=80(40)
A=3,200 meters
8x + 5y=-22
-3x - 5y = 2
Answer:
(-4, 2).
Step-by-step explanation:
8x + 5y=-22
-3x - 5y = 2 Adding the 2 equations:
5x = -20
x = -4.
Substitute x = -4 in the first equation:
8(-4) + 5y = -22
5y = -22 + 32
5y = 10
y = 2.
Answer:
\(x=-4,\:\\y=2\)
Step-by-step explanation:
\(\begin{bmatrix}8x+5y=-22\\ -3x-5y=2\end{bmatrix}\\\mathrm{Multiply\:}8x+5y=-22\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:24x+15y=-66\\\mathrm{Multiply\:}-3x-5y=2\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:-24x-40y=16\\\\\begin{bmatrix}24x+15y=-66\\ -24x-40y=16\end{bmatrix}\\\\-24x-40y=16\\+\\\underline{24x+15y=-66}\\-25y=-50\\\begin{bmatrix}24x+15y=-66\\ -25y=-50\end{bmatrix}\\-25y=-50\\\mathrm{Divide\:both\:sides\:by\:}-25\\\frac{-25y}{-25}=\frac{-50}{-25}\\y=2\\\)
\(\mathrm{For\:}24x+15y=-66\mathrm{\:plug\:in\:}y=2\\24x+15\times\:2=-66\\24x+30=-66\\24x+30-30=-66-30\\24x=-96\\\frac{24x}{24}=\frac{-96}{24}\\x=-4\\\\\\x=-4,\:y=2\)
help what is 2x=3+17
Answer:
x=10
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
3+17=20
20/2=10
x=10
The probability that X is a 2, 11, or 12 is:
a.) 1/36
b.) 2/36
c.) 3/36
d.) 4/36
Answer:
The correct answer is c.) 3/36.There are three favorable outcomes (2, 11, and 12) out of a total of 36 possible outcomes (assuming a fair six-sided number cube). Therefore, the probability of X being a 2, 11, or 12 is 3/36, which can be simplified to 1/12.
Step-by-step explanation:
What is the slope of that equations and what is the y-intercept?
Required information In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.6 mm. Find a 95% lower confidence bound for the mean wall thickness. (Round the final answer to three decimal places.) The 95% lower confidence bound is Someone says that the mean thickness is less than 8.2 mm. With what level of confidence can this statement be made? (Express the final answer as a percent and round to two decimal places.) The level of confidence is %.
The lower bound of the 95% confidence interval is given as follows:
7.981 mm.
The level of confidence of the statement is of 95%.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
The variables of the equation are listed as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 100 - 1 = 99 df, is t = 1.9842.
The parameters for this problem are given as follows:
\(\overline{x} = 8.1, s = 0.6, n = 100\)
Hence the lower bound of the interval is given as follows:
8.1 - 1.9842 x 0.6/10 = 7.981 mm.
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Given f(x) = x^2 - 1 and g(x) = 5x^2+2, find (f/g)(2)
can someone help me figure out how to do this? i need to show work (the “^2” means it’s squared by the way)
\(\frac{f}{g}(2) = \frac{2}{11}\\\)
Step-by-step explanation:\(\frac{f}{g}(2) = \frac{f(2)}{g(2)} \\ \frac{f}{g}(2) = \frac{(2)^2}{5(2)^2 +2} \\ \frac{f}{g}(2) = \frac{4}{5(4) +2} \\ \frac{f}{g}(2) = \frac{4}{20 +2} \\ \frac{f}{g}(2) = \frac{4}{22} \\ \frac{f}{g}(2) = \frac{2}{11}\)
Please Please Please Please Help ASAP!!!!
Answer:
A
Step-by-step explanation:
the top 5% of applicants on a test will receive a scholarship. if the test scores are normally distributed with a mean of 600 and a standard distribution of 85, what is the lowest test score that still qualifies for a scholarship? use excel, and round your answer to the nearest integer.
The lowest test score that still qualifies for a scholarship is 632.
To discover the lowest test score that still qualifies for a scholarship, we will use the NORM.INV feature in Excel. This feature returns the inverse of the usual everyday cumulative distribution feature, which can be used to discover the score that corresponds to a given percentile.
The percentile we are interested by is the top 5%, which corresponds to a cumulative possibility of 0.95. we are able to use the formula:
NORM.INV(0.95, 600, 85)
Wherein 0.95 is the probability, 600 is the mean, and 85 is the standard deviation.
Evaluating these component in Excel offers us:
632.39
Rounding to the closest integer, we get:
632
Consequently, the test score which is lowest but still qualifies for a scholarship is 632.
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Graph this line using the slope and y-intercept:
y=8x+2
Answer:
Two points, (0,2) & (1,10)
Step-by-step explanation:
We already know the first point (0,2) just by looking at the +2 in the problem
Now we use the system rise/run to solve the problem
Go up vertically 8 to get to 10 (this is the rise part)
Next, go over 1 to get your x-axis point (this is the run part)
So our next point is (1,10)
Hope this helps and please award brainliest if possible :)
Answer:
Step-by-step explanation:
Using the equation given:
8 is the gradient and 2 is the y-intercept
We can draw a point at (0,2) y-intercept
And we can substitute x with 1 to give us (1,10)
Use the diagram below for further details
In Monsieur Beeckman's French class, the 25 students have been averaging just 72%, percent on their tests, so they have decided to do something very bad -−minus cheat on the final exam. They've stolen a copy of the test and memorized all the answers. For 13 of the students, however, justice was swift. They accidentally got last year's copy of the test and each of them failed with a 50%, percent. The rest of the students successfully got 100%, percent. In Monsieur Blanc's class, the students were honest. Their scores approximated a normal distribution with a mean of 75%, percent
A) The class's average score is:
2050 / 2500 = 0.82 or 82% .
b) The standard deviation of the scores for Monsieur Beeckman's class is 53.78%.
c) Approximately 66.13% of Monsieur Blanc's students scored between 60% and 90%.
(a) What is the new average score for Monsieur Beeckman's class?
If 13 students failed with a score of 50%, and there are 25 students in total, then 12 students must have successfully cheated with a score of 100%. The sum of all the scores is:
(13 * 50) + (12 * 100) = 2050
The total possible points for the exam is:
(13 * 100) + (12 * 100) = 2500
Therefore, the class's average score is:
2050 / 2500 = 0.82 or 82%
(b) What is the standard deviation of the scores for Monsieur Beeckman's class?
We can calculate the standard deviation by first finding the variance of the scores:
variance = [(13 * (50 - 82)²) + (12 * (100 - 82)²)] / 25
= 2896
Then, the standard deviation is the square root of the variance:
standard deviation = sqrt(2896) = 53.78
Therefore, the standard deviation of the scores for Monsieur Beeckman's class is 53.78%.
(c) What percentage of Monsieur Blanc's students scored between 60% and 90%?
We can use the z-score formula to convert the raw scores to standardized scores (z-scores), which allows us to use a standard normal distribution table. The formula is:
z = (x - μ) / σ
where x is the raw score, μ is the mean score, and σ is the standard deviation.
For a score of 60% in Monsieur Blanc's class:
z = (60 - 75) / σ = -0.5556
For a score of 90%:
z = (90 - 75) / σ = 1.6667
Using a standard normal distribution table, the proportion of scores between -0.5556 and 1.6667 is:
0.9525 - 0.2912 = 0.6613
Therefore, approximately 66.13% of Monsieur Blanc's students scored between 60% and 90%.
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please try looking at the picture :(( i’m really struggling so much!!
Answer:
4- true
5-true
6-false
7-false
8-true
9-true
Step-by-step explanation:
Follow the letters and the sign of congruence
≅
Please help! 25 points
Answer:
C.
Step-by-step explanation:
Please help me solve this question and explain it step by step, I need to understand it for future questions like this.
Answer:
F. 20(3a-10)^2
Please give me brainliest
Step-by-step explanation:
180a^2-1200a+2000
Start by looking for a common factor: In this case, it's 20
From here, divide 20 from every number
180a^2/20= 9a^2
1200a/20= 60a
2000/20= 100
You end up with:
20(9a^2-60a+100)
But you can still simplify (9a^2-60a+100)
(9a^2-60a+100) simplifies to (3a-10)^2
So the answer is:
20(3a-10)^2
PLEASE HELP ASAP GIVING 100 POINTS
1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain
2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.
Answer:
this is so easy like just put variables a in b
Step-by-step explanation:
hope you get it
The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)
a small ferry boat is 4m wide and 6m long
The weight of the truck, When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river is 11,788 N.
To discover the weight of the truck, we ought to utilize the concept of buoyancy.
When the truck pulls onto the vessel, it uproots a sum of water that breaks even with its claimed weight. The weight of this uprooted water makes an upward buoyant constraint on the pontoon.
The watercraft sinks an extra 5.00 cm, which suggests that the buoyant constraint breaks even with the weight of the truck furthermore the weight of the uprooted water, and this adds up to the weight causing the boat to sink assist.
Let's accept that the thickness of water is 1000 kg/m³ (this can be ordinary esteem for new water). The volume of water uprooted by the pontoon is rise to its length times its width times the profundity it sinks into the water:
V = (6.00 m)(4.00 m)(0.05 m) = 1.20 m³
The weight of this uprooted water is:
Wwater = Vρg = (1.20 m³)(1000 kg/m³)(9.81 m/s²) ≈ 11,788 N
where ρ is the thickness of water and g is the speeding up due to gravity.
Since the buoyant drive is broken even with the weight of the truck furthermore the weight of the uprooted water, we have:
Wtruck + Wwater = Fbuoyant
where Wtruck is the weight of the truck and Fbuoyant is the buoyant drive. Ready to improve this condition to illuminate for the weight of the truck:
Wtruck = Fbuoyant - WWater
The buoyant drive is broken even with the weight of the water uprooted by the watercraft, which we calculated prior to being around 11,788 N. In this manner:
Wtruck = 11,788 N - 0
Wtruck ≈ 11,788 N
So, the weight of the truck is around 11,788 N.
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The full question is
A small ferryboat is 4.00m wide and 6.00m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river. What is the weight of the truck?
What is x? I really dont get it please help
25
Vertical angles are congruent/equal :
Answer:
25°
Step-by-step explanation:
Because its equal to the angle across it.
which of the following are equivalent to 55%? (Check all that apply.)
5.5
13/25
0.55
11/20
Answer:
The answer is 0.55
Step-by-step explanation:
Because 55% = \(\frac{55}{100}\) = 0.55
(I'm giving a lot of points on this I really need it )
A tourism company can sell up to 1200 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for $1,200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers.
1. Define the variables for this situation
2. Write a system of linear equations to represent the constraints
3. Graph the system of linear equations below, and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages
4. Write an objective function that maximizes the revenue for the tourism agency
5. Find the maximum revenue for the given constraints and give the combination of flights that achieve this maximum
Answer:
I have something you might like!
Here's the key ;)
Step-by-step explanation:
I would appreciate Brainliest! I hope I helped! :)
A card is selected to from a standard deck of 52 card what are the odds of selecting a red 9
The odds of selecting a red 9 is 1/26.
Probability of an event E is represented by P(E) can be defined as (the number of favorable outcomes) / (Total number of outcomes).
Given the total number of cards in a standard deck = 52
there can be only two red9 as one 9 from heart and one red from diamond.
So the number of outcome for red 9 =2
the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).
Therefore , The odds of selecting a red 9 is 1/26.
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Left-handedness is ________ common than usual among mathematicians and ________ common than usual among artists.
a. less; more
b. less; less
c. more; less
d. more; more
Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.
What is a mathematical model?An equation set and a set of variables that define connections between the variables make up a mathematical model, which often explains a system.
As we know,
Mathematicians are more likely than average to be left-handed, while artists are more likely than average to be left-handed.
Thus, Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.
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E how many different ways is it possible to answer an 8-question true/false quiz?
Answer:
16
Step-by-step explanation:
8 questions
2 answers per question
8*2= 16
an x-bar--r chart has been in control for some time. if the range suddenly and significantly increases, the mean will:
If the range on an X-bar-R chart suddenly and significantly increases, it indicates an increase in process variation. In this scenario, the mean (X-bar) may or may not be affected.
The mean represents the central tendency or average value of the process, while the range measures the dispersion or variation within the process.
If the mean remains stable and unaffected despite the increase in range, it suggests that the process average is still within control. However, if the range increase is accompanied by a significant shift in the mean, it indicates a potential shift in the process average.
To make a definitive determination, additional analysis and investigation are necessary to identify the underlying cause of the increased range and its impact on the process mean.
This could involve examining individual data points, performing hypothesis testing, or conducting further statistical analysis to assess the process stability and potential issues.
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What does a rhombus have to have?
Answer- Rhombuses must have 4 equal sides, opposite sides are parallel and opposite angles are equal. They cut in half each other to bisect.
Answer:
A rhombus has to have 4 sides that are all equal in length, opposite sides that are parallel, and equal opposite angles.
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!
(30 POINTS)
Pizza Palace offers customers 4 kinds of crust along with 5 different meats, 4 different
cheeses, and 3 vegetables for toppings. How many different combinations of pizza are
possible made with 1 choice of crust, 1 of meat, 1 of cheese, and 1 of vegetable?
Answer:
240
Step-by-step explanation:
4 kinds of crust along with 5 different meats, 4 different cheeses, and 3 vegetables for toppings
Combos = 4*5*4*3
=240
If the probability of an event is 4/7, what is its complement?
The complement of an event is the probability of the event not occurring. In this case, if the probability of an event is 4/7, then its complement would be 1 - 4/7, which simplifies to 3/7.
The complement of an event A, denoted as A', is the probability of A not occurring. In this case, if the probability of an event A is 4/7, then the probability of A' is given by:
P(A') = 1 - P(A)
Substituting the value of P(A) as 4/7:
P(A') = 1 - 4/7
To subtract fractions, we need a common denominator:
P(A') = 7/7 - 4/7
Simplifying the expression:
P(A') = 3/7
Therefore, the complement of the event with a probability of 4/7 is 3/7.
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select the correct answer what is the average rate of change of f(x), Who represented by the graph over the interval [0,2]?
A.2
B.1
C.0.5
D.-0.5
The expression (cos 90°)(cos 30°) − (sin 90°)(sin 30°) can be rewritten as which of the following?
Answer:
cos 120°
Explanation:
Given the trigonometric expression:
\(\mleft(\cos 90\degree\mright)\mleft(\cos 30\degree\mright)-(\sin 90\degree)\mleft(\sin 30\degree\mright)\)By the trigonometric Law of Cosine Addition:
\(\cos (A)\cos (B)-\sin (A)\sin (B)=\cos (A+B)\)Let A=90, and B=30. Therefore:
\(\begin{gathered} (\cos 90\degree)(\cos 30\degree)-(\sin 90\degree)(\sin 30\degree)=\cos (90\degree+30\degree) \\ =\cos (120\degree) \end{gathered}\)The equivalent form of the expression is cos 120°.
7. The size of a television screen is determined by its diagonal measure. If the height of
a screen is 32 inches and the width is 57 inches, what size is the TV considered to be
in inches? Round to the nearest whole number.
Using Pythagoras theorem, the size of the TV will be 65 inches.
What is Pythagorean Theorem?
The Pythagorean Theorem is a fundamental concept in mathematics that describes the relationship between the sides of a right triangle. It states that in any right triangle, the sum of the squares of the lengths of the two shorter sides (the legs) is equal to the square of the length of the longest side (the hypotenuse).
In equation form, the Pythagorean Theorem can be written as:
a² + b² = c²
where a and b are the lengths of the two legs and c is the hypotenuse.
Now,
We can use the Pythagorean theorem to find the diagonal measure of the television screen.
In this case, the height and width of the screen form the legs of a right triangle, so we can use the following equation:
(diagonal)² = (height)² + (width)²
Substituting the given values, we get:
(diagonal)² = (32)² + (57)²
(diagonal)² = 1024 + 3249
(diagonal)² = 4273
Taking the square root of both sides
diagonal = √(4273) ≈ 65.37
Therefore, the size of the TV screen, as measured diagonally, is approximately 65 inches (rounded to the nearest whole number).
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2/6 2/3 5/12 1/4 7/9 in ascending order
and
2/7 2/4 11/14 3/2 5/8 in also ascending order
Answer:
5/12 ,7/9 ,1/3 , 2/3, 1/4
2/7 ,2/4, 5/8, 11/4 ,3/2
Step-by-step explanation: