You do keep, change, and flip when dividing fractions.
Keep 4/6, change the division sign into times, and flip 4/12 into 12/5.
4/6 x 12/4 =
Just multiply across.
(4 x 12)/(6 x 4) = 48 / 24 = 2.
The answer is 2.
the length of a new rectangle playing field is 6 yards longer than quadruple the width. if the perimeter of the rectangle plaing field is 532 yards, what are its dimensions?
The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
The length of a new rectangle playing field is 6 yards longer than quadruple the width.
Let's suppose the length is l and width is w of a rectangle:
From the problem:
l = 6 + 4w
Perimeter P = 2(l + w)
532 = 2(l + w)
Plug l = 6+4w in the above equation:
532 = 2(6 + 4w + w)
266 = 6 + 5w
260 = 5w
w = 52 yards
l = 6 +4(52) = 214 yards
Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
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Twenty percent of adults in a particular community have at least a​ bachelor's degree. Suppose x is a binomial random variable that counts the number of adults with at least a​ bachelor's degree in a random sample of 100 adults from the community. If you are using a calculator with the binompdf and binomcdf​ commands, which of the following is the most efficient way to calculate the probability that more than 60 adults have a​ bachelor's degree, ​P(x?>60)?
a. P(x < 60)=binompdf(100,0 20,59)
b. P(x<60)=binompdf(100.0.20.60)
c. P(x<60)= binomcdf(100,0,20,59)
d. P(x<60)=binomcdf (100.0.20.60)
Answer:
Step-by-step explanation:
Since we are dealing with binomial probability in this scenario, then the outcome is either a success or a failure. A success in this case means that a chosen adult has a bachelor's degree. The probability of success, p would be 20/100 = 0.2
The number of adults sampled, n is 100
The number of success, x is 60
The probability that more than 60 adults have a bachelor's degree P(x >60) would be represented as
d. P(x<60)=binomcdf (100.0.20.60)
binompdf is used when we want to determine P(x = 60)
Mr. Olsen has a computer business in which he sells everything at 44.5% above the wholesale price. If he purchased a printer for $80 wholesale, what will be the retail price?
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.
Then the retail price is given as,
⇒ $80 x (1 + 0.445)
⇒ $80 x 1.445
⇒ $115.60
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
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I need help please no links or you will be reported
Answer:
-4,-4
Step-by-step explanation:
Is 2x - 3 = -7 x + 2 > y a true or false statement?
please help me solve this
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41
4x^2-24x+36 how to solve with easy steps
Answer:
4(−3)2
Step-by-step explanation:
The common factor ) 42−24+36, 4(2−6+9)
Sum-product pattern ) 4(2−6+9) 4(2−3−3+9)
Common factor from the two pairs we did) 4(2−3−3+9) 4((−3)−3(−3))
Rewrite into factors ) 4((−3)−3(−3)) 4(−3)(−3)
Lastly, combine to a square.) 4(−3)(−3) 4(−3)2
I hope this helps you; g'day!
Given equation is 4x²-24x-36 = 0
⇛ 4(x²-6x-9) = 0
⇛ x²-6x-9 = 0
⇛ x²-2(x)(3) = 9
On adding 3² both sides then
⇛ x²-2(3)x)+3² = 9+9
⇛ (x-3)² = 18
⇛ (x-3) = ±√18
⇛ x-3 = ±√(2×9)
⇛ x-3 = ±3√2
⇛ x = 3±3√2
⇛ x = 3+3√2 or 3-3√2 Ans.
The cards below have a mean of 25. What is the missing number?: ? 19, 22, 31
Answer: Its 28.
Step-by-step explanation:
The missing number in the card s 28
How to determine the missing number?Represent the missing number with x.
So, we have:
x, 19, 22 and 31
The mean of a dataset is:
Mean = Sum/Count
So, we have:
25 = (x + 19 + 22 + 31)/4
Multiply both sides by 4
100 = x + 19 + 22 + 31
Evaluate the sum
100 = x + 72
Subtract 72 from both sides
x = 28
Hence, the missing number is 28
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Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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What is the square root of 76.8
The square root of 76.8 is 8.76.
Square root of 76.8 is 8.746.
Given,
\(\sqrt{76.8}\)
Now,
Simplifying the square root :
If square root of x is to be calculated then,
\(\sqrt{x}\) = \(x^{1/2}\)
Similarly,
\(\sqrt{76.8}\) = \(76.8^{1/2}\)
= 8.746
Thus the square root of 76.8 is 8.746.
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coaching and sat scores what we really want to know is whether coached students improve more than uncoached students, and whether any advan- tage is large enough to be worth paying for. use the information above to answer these questions: (a) how much more do coached students gain on the aver- age? construct and interpret a 99% confidence interval.
With 99% confidence that the true difference lies between 0.1316 and 0.2694.
A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.
The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).
The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).
The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.
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What does the point (-1,6) represent in y = -2 ( x + 1)^2 + 6 ?
Answer:
-4x+2 hope this helps
Step-by-step explanation:
Find the value of x.
x = ___
PLEASE ANSWER ALOT OF POINTS
The graph shows two lines, A and B.
Part A: How many solutions does the pair of equations or lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answer:
Part A 1 solution
Part B 1,4
Answer:
Part A : It has one solution because the lines intersect at one point
Part B : The solution is the points where the lines intersect
Which is (3,4)
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Simplify 3\(\sqrt\)2-√2
Answer: (√2)(2) = 2√2
Step-by-step explanation:
To simplify the expression 3√2 - √2, you can factor out the common term √2:
3√2 - √2 = (√2)(3 - 1)
Now, subtract the numbers in parentheses:
(3 - 1) = 2
(√2)(2) = 2√2
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
Which point represents the fourth bus stop
A. (11,8)
B. (13,12)
C. (15,10)
D. (19,12)
Answer:
The answer is (19,12)
How do I simplify this expression?
Answer:
what expression nothing shows up
Step-by-step explanation:
Answer:
plzz keep the complete question
Step-by-step explanation:
i hope u will
NO LINKS, WILL GIVE BRAINLIEST, please help me find the slope!!
Answer:
Step-by-step explanation:
30
PLEASE ANSWER AS SOON AS POSSIBLE
Which phrase best completes the diagram?
A: Built advanced sewer systems
Dhshshsjehsjsjjsjssjsjsjsjsjsjshshdhdhdhdjdjdjdjhdbd djdhdhdjjdjdjdjdjdjd
Answer:
Dhshshshhshsjehsjsjjsjssjsjsjsjsjsjjshhdhddhhdjdjddjdjjhdhdkdhjsdfggdhjjjjd
Step-by-step explanation:
Estimate the percent that is shaded in each figure.
Answer:
what figure
Step-by-step explanation:
can iget brainliest so i can level up
Answer:
Step-by-step explanation:
what shaded figure
I need expert answers for this
The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.
How to prove Trigonometric Identities?We want to verify the trigonometric identity;
cos (α - β)/(cos α sin β) = cot β + tan α
Now, according to trigonometric identities in mathematics, we know that;
cos (α - β) = (cos α cos β) + (sin α sin β)
Thus, plugging that back into our left hand side of the main question gives;
[(cos α cos β) + (sin α sin β)]/(cos α sin β)
Rewriting this expression by separating the denominator gives;
[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)
Using quotient identities, this can be simplified to;
cot β + tan α
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Coach Jill brought 28 L of sports drink to the soccer game. She divided the sports frink equally between 7 coolers. How many mL of sports drink did coach jill put in each cooler?
Answer:
400ml
Step-by-step explanation:
1 cooler=28L÷7=4L
1L=100ml
4L=400ml(Ans)
Alan is arranging 3 different stuffed toys in a row on a shelf. Create a sample space for the arrangement of a teddy bear (T), a kitten (K), and an elephant (E). (10 points)
MARKING BRAINLIEST AND GIVING POOINTS PLSLSPSLPSLLS
The sample space for the arrangement of a teddy bear, a kitten, and an elephant in a row on a shelf consists of six possible arrangements: TKE, TEK, KTE, KET, ETK, EKT.
The sample space for the arrangement of a teddy bear, a kitten, and an elephant in a row on a shelf can be represented as:
{ TKE, TEK, KTE, KET, ETK, EKT }
In this sample space, each element represents a unique arrangement of the three stuffed toys in a row. For example, the element "TKE" represents the arrangement where the teddy bear is placed first, followed by the kitten and then the elephant. Similarly, "ETK" represents the arrangement where the elephant is placed first, followed by the teddy bear and then the kitten, and so on.
There are six possible arrangements for the three stuffed toys because there are three choices for the first position, followed by two choices for the second position, and one choice for the third position. This gives us 3 x 2 x 1 = 6 possible arrangements.
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What is the solution to the trigonometric inequality 2sin(x)+3>sin^2(x) over the interval 0<=x<=2pi radians?
2 sin(x) + 3 > sin²(x)
can be rewritten as
sin²(x) - 2 sin(x) - 3 < 0
(sin(x) - 3) (sin(x) + 1) < 0
The left side is equal to zero when either
sin(x) - 3 = 0 or sin(x) + 1 = 0
sin(x) = 3 or sin(x) = -1
The first case can never happen for real x, since |sin(x)| ≤ 1. From the second case, we get one zero in the interval 0 ≤ x ≤ 2π at x = 3π/2.
Now, split up the solution domain into two intervals, and check the sign of the left side of the inequality at some point in the interval. If the inequality holds up, that interval will belong to the solution set for the inequality.
• From 0 ≤ x < 3π/2, take x = 0. Then
sin²(0) - 2 sin(0) - 3 = 0² - 0 - 3 < 0
is true.
• From 3π/2 < x ≤ 2π, take x = 2π. Then
sin²(2π) - 2 sin(2π) - 3 = 0² - 0 - 3 = -3 < 0
is also true.
This means both intervals 0 ≤ x < 3π/2 and 3π/2 < x ≤ 2π satisfy the inequality.
Answer:
C
Step-by-step explanation:
EDGE 2022
I need this answered quick. What sum is represented by the following number line?
Answer:
2\(\frac{3}{4} + -4\frac{1}{4} = -1\frac{2}{4}\)
Step-by-step explanation:
The initial position of the blue line is 2 and 3/4. The final position (represented by the red line) is -1 and 1/2. 2 and 3/4 - 4 and 1/4 is the only thing you can subtract to get -1 and 2/4.
Answer:
2 3/4 +(-3 1/4)= -1 2/4
Step-by-step explanation:
hope you get it right
Which of these tables is a ratio table?
B
Step-by-step explanation:
you have to divide the numbers to see if they equivalent.