The sum of 4 consecutive even numbers is 364 A. 91 B. 65 C. 89.5 D. 182
Answers
Answer:
91
Step-by-step explanation:
Sum of the middle two numbers is ''182'' for 4 consecutive even number.
What is Addition?The process of combining or adding two or more numbers is called the Addition.
We have to given that;
Sum of 4 consecutive even numbers = 364
Let 4 consecutive even numbers are,
⇒ (x - 2), x, (x + 2), (x + 4)
So, We can formulate;
⇒ (x - 2) + x + (x + 2) + (x + 4) = 364
Solve for x;
⇒ 4x + 4 = 364
⇒ 4x = 364 - 4
⇒ 4x = 360
⇒ x = 90
Hence, The two middle numbers are,
⇒ (x) = 90
⇒ (x + 2) = 90 + 2
= 92
So, Sum of two middle numbers = 90 + 92
= 182
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The complete question is this,
The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?
Related Questions
IF YOU ANSWER THIS I WILL LOVE YOU FOREVER THNXX I DIDN'T STUDY ON ACCIDENT I HAS SOFTBALL PRACTICE
Answers
Answer:
8
Step-by-step explanation:
15 divided by 6 is 2.5
20 divided by 2.5 is 8
Answer:
Step-by-step explanation:
to answer this question, you need to set up a preportion.
15 = 6
20 x
then we would multiply 15 by x, and 20 by 6.
20(6) = 120
120= 15x
120 divided by 15 is:
x= 8
a pediatrician wants to determine the relation that exists between a child's height ( ) and head circumference ( ). she randomly selects 11 children from her practice and measures their height and head circumference in inches. she finds that the correlation is , and the regression equation is . what proportion of the variation in head circumference can be explained by the variation in the values of height? round your answer to three decimal places.
Answers
The proportion of variation in head circumference that can be explained by the variation in height was calculated to be approximately 49.8%.
A pediatrician can use correlation and regression analysis to determine the relationship between a child's height and head circumference. In this case, the pediatrician randomly selected 11 children from her practice and measured their height and head circumference in inches. The correlation between height and head circumference was found to be . The regression equation was also determined to be . To find the proportion of variation in head circumference that can be explained by variation in height, we can square the correlation coefficient (r) to get the coefficient of determination (r^2). So, r^2 = (.706)^2 = .498. This means that approximately 49.8% of the variation in head circumference can be explained by the variation in height among the 11 children in the sample. In summary, the pediatrician can use correlation and regression analysis to determine the relationship between a child's height and head circumference. The correlation coefficient was found to be , and the regression equation was determined to be .
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Write an expression having only 2 terms that is equivalent to 2x - 3. Explain how you wrote the expression amd how you can check that it is equivalent.
Answers
Answer:
2x -3 =2x + 3
Step-by-step explanation:
Addition is commutative so as subtraction so 2x-3=2x+3
Solve
No links!!!
I will give brainlest
& send links get reported
Answers
Answer:
12 no .
x+2(4/5)=3(1/6)
x+5*2+4/5=6*3+1/6
x+14/5=19/6
5*x+14/5=19/6(do cross multiplication)
6(x+14)=19*5
6x+84=95
6x=95-84
x=11/6
Step-by-step explanation:
13 no
-0.4a+1.2=3.6
-0.4a=3.6-1.2
a=2.4/-0.4
a=-6
sinmplify the expression -3(-5y+2)-(8y-3)
a) 7y-3
b)7y-9
c)23y-3
Answers
Answer:
a) 7y - 3
Step-by-step explanation:
\( - 3( - 5y + 2) - (8y - 3)\)
\(15y - 6 - (8y - 3)\)
\(15y - 6 - 8y + 3\)
\(7y - 6 + 3\)
\(\boxed{\green{ = 7y - 3}}\)
Answer:
A
Step-by-step explanation:
-3(-5y+2)-(8y-3)
=15y-6-8y+3
=7y-3 =>a)
Is it right? And can you guys please solve it
Answers
To solve quadratic equation using factorisation
(a)
\(\begin{gathered} x^2\text{ -x = 56} \\ x^2-x-56\text{ = 0} \\ x^2-8x+7x-56=0 \\ x(x-8)+7(x-8)=0_{} \\ (x-8)(x+7)=0 \\ x-8=0\text{ or x+7=0} \\ x=8\text{ or x = -7} \end{gathered}\)(b)
\(\begin{gathered} x^2\text{ = }3x\text{ + 28} \\ x^2-3x-28\text{ = 0} \\ x^2-7x+4x-28=0 \\ x(x-7)+4(x-7)=0_{} \\ (x-7)(x+4)=0 \\ x-7=0\text{ or x+4=0} \\ x=7\text{ or x = -}4 \end{gathered}\)
(c)
\(\begin{gathered} \frac{1}{2b}\text{ = }\frac{3}{5b}+3 \\ \text{collect like terms} \\ \frac{1}{2b}\text{ - }\frac{3}{5b}\text{ = 3} \\ \frac{5\text{ - 6}}{10b}\text{ = 3} \\ \frac{-1}{10b}\text{ = 3} \\ -1\text{ = 10b x 3} \\ -1\text{ = 30b} \\ \text{divide oth side by 30b} \\ b=\frac{-1}{30}\text{ } \end{gathered}\)Please helpppppppppppp
Answers
Answer:
678 ft²
Step-by-step explanation:
The opposite sides of the cuboid are congruent, thus surface area is
2(11 × 9) ← front and back + 2(11 × 12) ← top and base + 2(12 × 9) ← sides
= 2(99) + 2(132) + 2(108)
= 198 + 264 + 216
= 678 ft²
miguel is trying to determine the mileage on his car. he knows that when he drives no miles he uses no gas he drove 70 miles on 2 gallons of gas and 140 miles on 4 gallons of gas
Answers
To determine the mileage on Miguel's car, we can calculate the miles per gallon (MPG) using the given information.
First, we find the average miles driven per gallon by dividing the total miles driven by the total gallons of gas used:
Average MPG = Total miles / Total gallons
For the first scenario, Miguel drove 70 miles on 2 gallons of gas, so the average MPG is:
Average MPG = 70 miles / 2 gallons = 35 MPG
For the second scenario, Miguel drove 140 miles on 4 gallons of gas, so the average MPG is:
Average MPG = 140 miles / 4 gallons = 35 MPG
Therefore, Miguel's car has an average mileage of 35 miles per gallon (MPG).
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4tan(x)sin(x)+5sec(x) simplifies to A sec(x) - B cos(x)
Answers
Answer: (sec x – tan x)(csc x + 1).
Step-by-step explanation:
The sum of the ages of Rudy and his father is 58 years. The difference in their ages is 32 years. How old is each ?
Answers
Answer:
Rudy is 13 years old. Her father is 45 years old.
Step-by-step explanation:
It's very simple actually!
All you need to do is subtract 32:
58 - 32 = 26
Then divide:
26 ÷ 2 = 13
13 is Rudy's age. Let's find her father's age!
We then add 32 back to 13:
32 + 13 = 45
And there you have it!
Hope this helped! :)
For Questions 16 – 18, refer to the problem below. Consider the following set of simultaneous equations. 3x − 4y = −42 (i)
2x + 6y = 50 (ii)
16. If x is made the subject of the formula in equation (ii), then:
A x = 3y + 25 B x = −3y + 25 C x = −6y + 50 D x = −3y − 25
17. If x is eliminated in equation (i) then:
A −13y = −117 B 13y = −117 C 15y = 124
D 16y = 215
Answers
Answer:
Step-by-step explanation:
5. Factor each expression.
a. 15a - 13a
b. -6x – 18y
c. 36abc + 54ad
Answers
Step-by-step explanation:
a.)
= 15a - 13a
= a(15 - 13)
= a(2)
= 2a
b.)
= -6x - 18y
= -(x + 3y)
c.)
= 36abc + 54ad
= 6a(6bc + 9d)
Answer:
\(a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a\)
\(b) \: \: - 6x - 18y \\ = - 6(x + 3y)\)
\(c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)\)
The circle is rotated around the horizontal dashed line. Which type of geometrical figure will be generated?
A.
cylinder
B.
sphere
C.
ring
D.
cylindrical shell
Answers
When the circle is rotated around the horizontal dashed line, the resultant figure is a sphere.
What is a circle?A circle is a round figure. The sum of angles in a circle is 360 degrees. The circle could be rotated to yield another figure.
Thus, when a circle such as the one here is rotated around the horizontal dashed line, the resultant figure is a sphere.
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Answer:
Sphere
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
if p varies inversely as a square roots of d and p equals 6 when d equals 9 find the formula connecting p and d, d when p equals 2
Answers
Answer:
p = 18 / √dd = 81Step-by-step explanation:
p varies inversely as a square roots of d:
p = k / √dp equals 6 when d equals 9:
p = 6, if q = 96 = k / √96 = k / 3k = 18The equation is:
p = 18 / √dFind d when p = 2:
2 = 18 / √d√d = 18/2√d = 9d = 9²d = 81What is the slope of the line that passes through the points (-10, -4)(−10,−4) and (10, -29) ?(10,−29)? Write your answer in simplest form
Answers
Answer:
The answer is -1.25
Hope that helps. x
Step-by-step explanation:
∫x216−x2−−−−−−√ dx= 8arcsin(x/4)-4sin(2arcsinx/4) functionsequation editor c (your final answer should be in terms of only x .) note: you can earn partial credit on this problem.
Answers
The final answer is 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C, where C represents the constant of integration. The expression is given in terms of x only.
To evaluate the given integral, we can use trigonometric substitution. Let's substitute x = 4sinθ, which allows us to rewrite the integrand in terms of θ. The differential becomes dx = 4cosθ dθ.
Using this substitution, the integral transforms into ∫(4sinθ)²√(16-(4sinθ)²)(4cosθ) dθ. Simplifying this expression yields 16∫sin²θ√(1-cos²θ)cosθ dθ.
We can apply the double-angle identity sin²θ = (1-cos2θ)/2 to simplify further. This results in 8∫(1-cos2θ)√(1-cos²θ)cosθ dθ.
Next, we can apply the trigonometric identity sin(2θ) = 2sinθcosθ to obtain 8∫(sinθ-sin³θ) dθ.
Finally, integrating term by term and substituting back x = 4sinθ, we arrive at the final answer of 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C. This expression represents the antiderivative of the given function in terms of x only, where C represents the constant of integration.
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How many subjects were examined based on the following: t(29) = 2.001, p < 0.05?
Answers
Based on the provided information, the number of subjects examined is not explicitly mentioned. However, the given t-value (t(29) = 2.001) suggests that the study involved a sample size of 30 participants, as denoted by the degrees of freedom (df) in parentheses.
The notation t(29) = 2.001 represents a t-test, a statistical test used to determine if there is a significant difference between the means of two groups. In this case, the subscript "29" in t(29) denotes the degrees of freedom (df), which is calculated by subtracting 1 from the sample size. Therefore, df = 30 - 1 = 29.
Since the degrees of freedom are 29, it indicates that the sample size used in the study was 30 participants. The t-value of 2.001 represents the magnitude of the t-statistic, which measures the difference between the means of the two groups being compared.
The critical value for significance is not provided, but the statement "p < 0.05" suggests that the obtained p-value is less than 0.05, indicating statistical significance. However, the exact p-value is not given, so the level of significance cannot be precisely determined.
Overall, the information provided implies that the study involved a sample of 30 subjects, and the t-value and p-value suggest a significant result.
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Three trees in a park form a right triangle. An ash tree is located at point A, a beech tree at point B, and a cherry tree at point C. The right angle of the triangle is located at point A. The town plants a dogwood tree at point D, which is at the intersection of the hypotenuse of the right triangle and the altitude from point A. If the distance from the beech tree to the dogwood tree is 60 feet and the distance from the ash tree is the dogwood tree is 110 ft feet; what is the distance from the beech to the cherry tree?
Answers
The distance from the beech tree to the cherry tree is 90 feet.
How to find the distance?This is a classic problem in trigonometry.
Since we know that one angle of the triangle is a right angle, we can use the Pythagorean Theorem to solve for the length of the hypotenuse.
If we let the distance from the ash tree to the cherry tree be x, we know that:
x^2 + 110^2 = 60^2
Solving for x, we get:
x = sqrt(60^2 - 110^2)
x = sqrt(3600 - 12100)
x = sqrt(-8500)
x = sqrt(8500)
x = 90
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it is desired to estimate the mean tensile strength for roof hangers. it is known that the standard deviation of measurements of tensile strength is 0.25. (units are newton per square meter.) as it is very important for safety, the 99% confidence interval needs to have a margin smaller than 0.06. what is the minimum required sample size?
Answers
The minimum required sample size is 47 as it is very important for safety, the 99% confidence interval needs to have a margin smaller than 0.06.
To estimate the mean tensile strength for roof hangers with a 99% confidence interval margin of 0.06, we can use the formula:
Margin of error = z* (standard deviation / sqrt(sample size))
where z is the z-score for the desired confidence level, which for a 99% confidence interval is 2.576.
Plugging in the given values, we get:
0.06 = 2.576 * (0.25 / sqrt(sample size))
Solving for the sample size, we get:
sample size = (2.576 * 0.25 / 0.06)^2
sample size = 89.59
Rounding up to the nearest whole number, the minimum required sample size is 90.
Therefore, we need to take a sample of at least 90 roof hangers to estimate the mean tensile strength with a 99% confidence interval margin of 0.06.
To estimate the mean tensile strength for roof hangers with a 99% confidence interval and a margin of error smaller than 0.06, you'll need to determine the minimum required sample size.
For a 99% confidence level, the Z-score (critical value) is approximately 2.576.
The known standard deviation is 0.25. The desired margin of error is less than 0.06. Use the formula:
Margin of Error = Z-score * (Standard Deviation / sqrt(Sample Size))
Rearrange the formula to find the sample size:
Sample Size = (Z-score * Standard Deviation / Margin of Error)^2
Sample Size = (2.576 * 0.25 / 0.06)^2
Sample Size ≈ 46.24
Since you cannot have a fraction of a sample, round up to the nearest whole number. The minimum required sample size is 47.
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What property is this ?
a + (b + c) = (a + b) + c
Answers
Answer:
Associative Property of Addition
what type of function is this? (quadratic or exponential)
Answers
Answer:
exponential
Step-by-step explanation:
What is 90.5-7.83? Please show your work too! Thanks.
Answers
Have a good day!!
suppose you are told that an accountant in poland who makes $925.40 has a z-score of 2.00 relative to other accountants in poland and that the standard deviation of the salary of accountants in poland is $154.20. the average salary, then, for accountants in poland is .
Answers
The average salary for accountants in Poland is $617.00.
To find the average salary for accountants in Poland, we can use the formula for a z-score and the given information. The formula for a z-score is:
z = (x - μ) / σ
where x is the value of the accountant's salary ($925.40), μ is the mean salary, σ is the standard deviation of the salary ($154.20), and z is the z-score (2.00).
Rearranging the formula, we can solve for the mean salary:
μ = x - zσ
Plugging in the given values, we get:
μ = $925.40 - (2.00)($154.20)
μ = $925.40 - $308.40
μ = $617.00
So, the average salary for accountants in Poland is $617.00.
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Help me please, help
Answers
Answer:
x>0
Step-by-step explanation:
(0)
A production line operates for two eight-hour shifts each day. During this time, the production line is expected to produce 3,000 boxes. What is the takt time in minutes?
Group of answer choices
.25
.3
3
.6
Answers
The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.
The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.
The expected number of boxes to be produced is given as 3,000 boxes.
To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):
\(Takt time = Total available time / Expected number of boxes\)
\(Takt time = 960 / 3,000\)
By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.
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3x-2>4
What’s the answer
Answers
Answer:
2
Step-by-step explanation:
In phase 2 of a three-phase clinical trial to test the efficacy of the BNT163b2 mRNA vaccine for COVID-19, participants were randomly assigned to receive either the vaccine or a placebo. In the placebo group, 18,325 participants with no evidence of infection received placebo injections and 162 eventually contracted COVID-19. Of the 18,198 participants with no evidence of infection who received the vaccine, 8 eventually contracted COVID-19. Conventional wisdom suggested that the infection rate for COVID-19 was about 3%. Assume that the 18,325 people who received the placebo represent a simple random sample of all people with no prior evidence of infection and have not been vaccinated. Let's say you carry out a hypothesis test of significance to determine if there is evidence from this sample that the proportion of unvaccinated people who catch the virus is not 0.03. Compute the one-sample z- statistic. Give your answer to at least one decimal place.
Answers
The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.
In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.
The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:
z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7
As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.
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The point of intersection of the altitude of a triangle is called
A. Circumcenter B. Centroid
C. Orthocentre D. Incenter
Answers
Answer:
C. Orthocentre
Step-by-step explanation:
The point of intersection of the altitude of a triangle is called orthocentre.
use lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p is a square. let the sides of the rectangle be x and y and let f and g represent the area (a) and perimeter (p), respectively. find the following.
Answers
we get x=y =0 which gives 0 perimeter or x=y this implies rectangle must be a square
1. Method of Langrage Multipliers:
To find the extremum values of f(x,y) subject to constraint g(x,y) = k
find all values of x,y and λ, such that :
Δλ(f,x) = λΔg(x,y)
And g(x,y) = k
2. let the two side of the rectangle be x and y
therefore
f(x,y) = xy And g(x,y)= 2(x+y)=p
fₓ=λgₓ => y=2λ ----------------- 1
fy = λgy => x = 2λ----------------2
using equation and 1 and 2
λ=0, but this is not possible because tis implies x = y = 0, which gives 0 perimeter
or
x=y
Hence the rectangle must be a square
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Please help!
Worth 20
Answers
the Area will be 280 inch².
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The base of triangle = 20inch
The height of triangle = 14inch
Area is = (base * height) = (20*14)
Area = 280 inch²
Hence the Area will be 280inch²
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