Answer:
x =19.20
Step-by-step explanation:
We can use ratios to solve
14 wings 12 wings
------------- = ---------------
22.40 x
Using cross products
14x = 22.40 * 12
14x =268.8
Divide each side by 14
14x/14 = 268.8/14
x =19.20
→ Are the triangles below congruent? If so,
describe a series of rigid transformations
that maps one triangle onto the other.
55
35
If x and y are any random variables with e(x) = 5, e(y) = 6, e(xy) = 21, v(x) = 9 and v(y) = 10, then the relationship between x and y is a:_______.
If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between x and y is a strong negative relationship.
What is a simple random sample?A simple random sample can be defined as a subset of items that are selected from a statistical population or larger data set, and each member of the subset has an equal or the same probability of being selected.
This ultimately implies that, each member of the subset are selected randomly and by chance, and as such a simple random sample is an unbiased representation of a statistical population.
By calculating the covariance using the following expression, we have:
Cov(X, Y) = E(XY) - E(X)E(Y).
E(X) = 5, E(Y) = 6 and E(XY) = 21.
In conclusion, we can infer and logically deduce that the relationship between x and y is a strong negative relationship.
Read more on random variables here: https://brainly.com/question/14227228
#SPJ4
Complete Question:
If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between X and Y is a:
-strong positive relationship
-strong negative relationship
-weak positive relationship
-weak negative relationship
I think of a number, multiply it by 5, subtract 2, subtract the original number, and then halve it. If the starting number was x, give an expression for the final answer, as simply as possibly.
Answer:
Step-by-step explanation:
Let the number be x
the first expression is 5x
Then subtract 2. You get 5x - 1
Subtract the original number 5x - 1 - x = 4x - 1
Answer: 4x - 1
Try It
Given: AD
Prove: DE
D
BC and BCD =
CE
Hint
B
Angles Segments Triangles Statements Reasons
AAS
CPCTC
Statements
✓ 1. AD = BC
✓2. ZBCD =
3. DC DC
4. AADC = ABCD
5. LEDC ZECD
SAS
converse of isosceles triangle thm
Reasons
1. given
2. given
3. reflexive property
4. SAS
5. CPCTC
The required statements and reasons to prove that DE is equal to CE is explained.
What is a triangle congruence theorem?The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.
The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.
STATEMENT REASON
1. AD = BC Given
2. <BCD = <ADC Given
3. DC = DC Reflexive property
4. ΔADC ≅ ΔBCD SAS
5. <EDC ≅ <ECD CPCTC
6. AC = BD Definition of diagonal
7. DE = CE Congruent sides of isosceles triangle
Learn more about the triangle congruence theorem at https://brainly.com/question/18922904
#SPJ1
Reflect (-5,-3) over the x axis then translate the result 2 units downwhat are the final cordinates
We reflect the point (-5, -3) over the x-axis to get (-5, 3), and then translate this point down by 2 units to get the final coordinates of (-5, 1).
To reflect a point over the x-axis, we keep the x-coordinate the same, but negate the y-coordinate. Thus, reflecting the point (-5, -3) over the x-axis gives us the point (-5, 3).
Next, we need to translate the result 2 units down. To do this, we subtract 2 from the y-coordinate of the reflected point. So, subtracting 2 from the y-coordinate of (-5, 3) gives us the final coordinates:
(-5, 3) translated 2 units down is (-5, 1).
In summary, we can reflect a point over the x-axis by negating the y-coordinate, and translate a point down by subtracting a value from its y-coordinate. So, we reflect the point (-5, -3) over the x-axis to get (-5, 3), and then translate this point down by 2 units to get the final coordinates of (-5, 1).
To know more about reflection, refer to the link below:
https://brainly.com/question/16359605#
#SPJ11
2,048 rounded to the nearest tenth?
answer to the question that you have
2,048.0
2050 because
1-9 = ones place
10-99 = tenth place
100-999 = hundrends place
1000 - 999999 - thousands place
and you round to the nearest 0 if it is 5 or up and if it is 1 to 4 it stays the same
The breaking strengths of a random sample of 20 bundles of wool fibers have a sample mean 436.5 and a sample standard deviation 11.9. (a) Construct 90%, 95%, and 99% confidence intervals for the average breaking strength of the wool fibers. (b) Compare the widths of the three confidence intervals. At which level of confidence do you have the widest interval
(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].
(b) The 99% confidence interval has the widest interval.
(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:
Confidence interval = sample mean ± (critical value * standard error)
The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.
Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.
Plugging in the values, we can calculate the confidence intervals:
90% confidence interval:
Lower bound = 436.5 - (1.645 * (11.9 / √20))
Upper bound = 436.5 + (1.645 * (11.9 / √20))
95% confidence interval:
Lower bound = 436.5 - (1.96 * (11.9 / √20))
Upper bound = 436.5 + (1.96 * (11.9 / √20))
99% confidence interval:
Lower bound = 436.5 - (2.576 * (11.9 / √20))
Upper bound = 436.5 + (2.576 * (11.9 / √20))
(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.
To learn more about confidence intervals visit : https://brainly.com/question/20309162
#SPJ11
Select the correct answer
Which expression is equivalent to the given expression?
(6x - 5)(3n-3)2 help please
Answer:
D
Step-by-step explanation:
\((a^{m})^{n}=a^{m*n}\\\\a^{m}*a^{n}=a^{m+n}\\\\a^{-m}=\frac{1}{a^{m}}\\\\\\(6n^{-5})(3n^{-3})^{2}=(6n^{-5})*3^{2}*n^{-3*2}\\\\=6n^{-5}*9*n^{-6}\\\\=6*9*n^{-5 +(-6)}\\\\=54n^{-11}\\\\=\frac{54}{n^{11}}\)
fill in the blank. anthony placed an advertisement for a new assistant on november 1. he hired marquis on december 1. his _______ was 30 days.
Anthony's "hiring process" or "recruitment period" was 30 days.
The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.
The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.
In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.
Learn more about length here:
https://brainly.com/question/32060888
#SPJ11
Ryan and Mary are both travelling by train.
Ryan's train travels 80 km in 50 minutes.
Mary's train travels 270 km.
It leaves at 13:10 and arrives at 15:25.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
average speed is distance/time
1. 80km/50 minutes (0.833 hour)= 96km/hour
2. 270km/(time between 13:10 and 15:25 (2hr 15mins)) = 120km/hr
3. difference is 120km/hr - 96km/hr = 24km/hr faster
Complete the following integrals. i. Find an expression for y in terms of x given dy = x? (3 – x) and y = 11 when dx x=-1 ii. 5(x+3)(x+5)dx 4
i. By solving the given differential equation and using the initial condition, the expression for y in terms of x is y = 2x - x^2 + 5x + C, where C is the constant of integration. ii. The integral of 5(x+3)(x+5)dx can be found by expanding the expression and using the power rule of integration. The result is ∫5(x+3)(x+5)dx = (5/3)x^3 + 20x^2 + 75x + C, where C is the constant of integration.
i. To find the expression for y in terms of x, we first solve the given differential equation. We have dy = x/(3 - x)dx. By separating variables, we can rewrite the equation as dy/(x) = dx/(3 - x). Integrating both sides, we get ∫dy/(x) = ∫dx/(3 - x). This simplifies to ln|x| = -ln|3 - x| + C, where C is the constant of integration. Exponentiating both sides, we have |x| = e^(C - ln|3 - x|).
Since y = 11 when x = -1, we can substitute these values into the equation to find the value of the constant C. Solving for C, we get C = ln(4). Substituting C back into the equation, we have |x| = e^(ln(4) - ln|3 - x|). Simplifying further, we get |x| = 4/(3 - x). Solving for x, we get x = 3 or x = -5. Thus, the expression for y in terms of x is y = 2x - x^2 + 5x + C, where C is the constant of integration.
ii. To find the integral of 5(x+3)(x+5)dx, we expand the expression to get 5x^2 + 20x + 15x + 75. We can then integrate each term separately. Using the power rule of integration, we have ∫5x^2dx + ∫20xdx + ∫15xdx + ∫75dx.
Integrating each term, we get (5/3)x^3 + 10x^2 + (15/2)x^2 + 75x + C, where C is the constant of integration. Simplifying further, we have (5/3)x^3 + 20x^2 + 75x + C. Thus, the integral of 5(x+3)(x+5)dx is (5/3)x^3 + 20x^2 + 75x + C, where C is the constant of integration.
Learn more about differential equation here:
https://brainly.com/question/25731911
#SPJ11
PLEASE HELP!!!!!!!!!!!!!!!!1
Answer: 212 212 21112
Step-by-step explanation: loser
Find the slope of the line passing through the point (-6,7) and (-6,-8).
The gradient/slope is undefined.
using the gradient formula, \(m=\frac{y2-y1}{x2-x1}\),
\(\frac{-8-7}{-6-(-6)}\)
try solving this and you'll get the answer "math error". this is because -6-(-6) is -6+6, which equals 0. anything divided by zero is infinite.
What is the solution of the system x − 3y = –13 and 5x + 7y = 34?
Answer:
(1/2, 9/2)
Step-by-step explanation:
Write the system as a column (not as a row of characters):
x − 3y = –13 and 5x + 7y = 34 =>
x − 3y = –13
5x + 7y = 34
Let's eliminate x using the method of addition and subtraction. Multiply all terms of the first row by -5:
-5x + 15y = 65
5x + 7y = 34
The sum of these two equations is
22y = 99, and so
y = 9/2
Substituting 9/2 or y in the first equation, we get:
x - 3(9/2) = -13, which simplifies to:
x = 27/2 - 13, or
x = 27/2 - 26/2, or x = 1/2
Then the solution is (1/2, 9/2)
k =
3. What is the slope of the line that passes through
the points (2,-5) and (-4, -1)? Give your answer
as a fraction in simplest form.
Answer:
Slope = -2/3
Step-by-step explanation:
Slope = \(\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\)
Slope = \(\frac{-1 -(-5)}{-4-2} = \frac{4}{-6} =-\frac{2}{3}\)
A farmers' market sells organic locally grown beans for $1.25 per pound. How much more would it cost to buy 3 pounds of beans at the farmers' market than at the store?
The cost price to buy 3 pounds of beans at the farmers' market than at the store is $3.75
In the above question, it is given that
A farmer's market sells organic locally grown beans for = $1.25 per pound
We need to find cost price to buy 3 pounds of beans at the farmers' market than at the store
As the per pound grown beans price is given than it is reasonable to find the cost price for the 3 pound grown beans by the farmer
So,
Price per pound of bean grown = $1.25
Price of 3 pound of bean grown = 3 x 1.25
= $3.75
Hence, the cost price to buy 3 pounds of beans at the farmers' market than at the store is $3.75
To learn more about, cost price , here
https://brainly.com/question/11027396
#SPJ1
Which of the following is equivalent to the equation 32+4y=3x?
Remember that 3/4 is a fraction and so give me the answer and work that proves it.
A.y= 3/4x - 8
B.Y= 3x - 32
C.y= -3/4 + 8
D. Y= 3/4x - 32
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Let's rearrange :
\(32 + 4y = 3x\)\(4y = 3x - 32\)\(y = \dfrac{3x - 32}{4} \)\(y = \dfrac{3x}{4} - \dfrac{32}{4} \)\(y = \dfrac{3x}{4} - 8\)Hence, the correct choice is :
AA cell phone company tests 95 cell phones and finds that 7 of them have defects. Out of 760 cell phones, how many would you expect to have defects?
You can predict that
of the cell phones will have defects.
Answer: 60
Step-by-step explanation:
From the question, a cell phone company tests 95 cell phones and finds that 7 of them have defects. This. means that 7/95 are defective.
If 760 cell phones are tested, the number that will be expected to have defects will be:
= 7/95 × 760
= 59.99
= 60 Approximately
Answer:
56 C:
Step-by-step explanation:
Just divide 95 by 7 yes you heard me right then multip,y by 760 you can use calculator to get 56
If the cost of 7m is Rs. 1470, find the cost of 5m cloth
By using unitary method, we found that the cost of 5m cloth is Rs. 1050.
According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,
Cost of 1m cloth = Total cost of 7m cloth/7
We know that the total cost of 7m cloth is Rs. 1470. Therefore,
Cost of 1m cloth = 1470/7
Cost of 1m cloth = Rs. 210
This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.
Cost of 5m cloth = Cost of 1m cloth x 5
Cost of 5m cloth = Rs. 210 x 5
Cost of 5m cloth = Rs. 1050
Therefore, the cost of 5m cloth is Rs. 1050.
To know more about unitary method here
https://brainly.com/question/28276953
#SPJ4
The pie chart shows the age distribution in a village of 120 people.
25 to 60
Under 25
14/45 Marks
Over 60
a) How many of the villagers are over 60?
b) What percentage of the villagers are
under 25?
The Answer is 5%
step by step explanation:
Question 1 (2 points) ✓ Saved
Emilio has a bank account that pays 4% interest each year. He has $200 in his
account. How much interest will he earn after 1 year?
$10
$6
$4
$8
2.10
If 3p-5t=9 What will be the value of 12p- 20t
Answer:
36
Step-by-step explanation:
\(12p-20t=4(3p-5t)\)
Substitute \(3p - 5t = 9\) into the equation:
\(\implies 12p-20t=4(9)=36\)
Find the range of the following numbers: 10 78 22 354 75 81 8 6 A 8 C 27 B 81 D 78
Answer:
348
Step-by-step explanation:
6 8 10 22 75 78 81 354
subtract the highest number to the lowest number
A population of values has a normal distribution with = 210. 3 and = 86. You intend to draw a random sample of size n = 69. Find the probability that a single randomly selected value is between 217. 5 a
The probability that a single randomly selected value is between 217.5 and 225.2 is approximately 0.0674.
To find the probability, we first convert the given values to z-scores using the formula (X - μ) / σ. Then, using a standard normal distribution table or calculator, we find the area under the curve between these two z-scores. This represents the probability of the value falling between the given range. In this case, the probability is approximately 0.0674, or 6.74%.
Learn more about approximately here;
https://brainly.com/question/30707441
#SPJ11
Solve and describe the graph of the inequality: j + 16 ≥ -21
Answer:
j ≥ -37
Step-by-step explanation:
j + 16 ≥ -21
move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract)
j ≥ -37
The graph would be a closed circle on -37 with an arrow pointing to the right.
To solve and describe the graph.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions. The quality of being unequal or uneven.
Given that:
The inequality is
j + 16 ≥ -21
Move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract) the constant term
j ≥ -37
So, the graph would be a closed circle on -37 with an arrow pointing to the right.
Learn more about inequality here:
https://brainly.com/question/19846294
#SPJ5
w = 4y + 6
Solve for y
Answer:
The answer is y = - 3/2 + 1/4 W
also if you click the image it will show you how to solve the equation. I hope the image helps.
an article was sold for rs 5500 with a profit of 10 % what is its cost price ?
Answer:
Given : Selling price of an article = Rs 5500. Profit = 10% Find the cost price of an article :- C.P = (S.P × 100)/(100 + Profit)
When it is 4:00 a.m. in Honolulu, it is 2:00 p.m. in London. Just before Paul’s flight from Honolulu to London, he called his friend Nigel, who lives in London, asking what kind of clothing to bring. Nigel explained that London was in the middle of some truly peculiar weather. The temperature was currently 30°C, and was dropping steadily at a rate of 1°C per hour. Paul’s flight left Honolulu at 12:00 p.m. Thursday, Honolulu time, and got into London at 1:00 p.m. Friday, London time. What kind of clothing would have been appropriate for Paul to be wearing when he got off the plane?
Answer:
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Step-by-step explanation:
If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:
\(d=14-4\\d=10\ hours\)
London is 10 hours ahead of Honolulu.
If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:
\(t=12+10\\t=22 = 10:00\ p.m.\)
Since he arrived in London at 1:00 p.m. at Friday, the flight time was:
\(F= (24-22)+13\\F=15\ hours\)
The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:
\(T=30-(15*1)\\T=15^oC\)
Converting it to Fahrenheit
\(T=(15*\frac{9}{5})+32 \\T=59\ F\)
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Answer:
d
Step-by-step explanation:
Given that the measure of ∠x is 110°, and the measure of ∠y is 59°, find the measure of ∠z.
Answer:
11°
Step-by-step explanation:
The sum of the angles in a triangle is always 180°. Therefore, we can find the measure of ∠z by subtracting the measures of ∠x and ∠y from 180°:
∠z = 180° - ∠x - ∠y
∠z = 180° - 110° - 59°
∠z = 11°
Therefore, the measure of ∠z is 11°
Write the equation of the line in slope intercept form that passes through the point (6,-2) and is parallel to the line y = -3x + 5.
Answer:
For a line to be parallel it must have the same slope. So the slope of the new equation is 6.
The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....
-5=6(3)+b
Solve for b (the y-intercept)
b= -23
Therefore.... y=6x-23
??? does that help????