The ages of the children, in years, at a birthday party are 8, 12, 10, 9, 12, 9, 11, and 9. What is
the mean age of children at the party?
Answer:
10 years
Step-by-step explanation:
Mean is the same as average so add up all the ages and divide by the number of people there:
8+12+10+9+12+9+11+9= 80
80/8=10
Answer:
10
Step-by-step explanation:
Simplify the following expression. (3 + 8x) + 7x 3 +15 18 + x 11x+7 18 x
Answer:
3 plus 15x should be the correct answer.
Step-by-step explanation:
hope this helped
Answer:
3+8x+7x3+1518+x11x+718x
=3+8x+7x3+1518+x12+718x
Step-by-step explanation:
Can someone help me with number 9 pllsssss I’m confused
Answer:
C
Step-by-step explanation:
helppp meee plsss i’m begging
Answer:
y = 9
Step-by-step explanation:
A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.
Answer:
::::::::::::::::::
5:2
How could you determine the number of buses that will be needed if 18 of the 134 people going will use
alternate means of transportation? Remember that each bus can hold up to 28 people,
Write an inequality you could use to figure out how many buses will be needed, if x represents the number
of buses
Explain the steps you will use to solve the inequality,
Answer:
Step-by-step explanation:
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. A = f(x, y) = p = g(x, y) = ∇f(x, y) = ????∇g = Then ???? = 1 2 y = implies that x = . Therefore, the rectangle with maximum area is a square with side length .
Answer:
a) Rectangle of maximum area ( given perimeter p ) is
A= x² That means the rectangle of maximum area, is a square
Step-by-step explanation:
The equation: A (x,y) = x*y is the area of a rectangle ( to maximize)
Subject to: p = 2*x + 2*y or g(x,y) = 2*x + 2*y -p
Now
A(x,y) = x*y δA/δx = y δA/δy = x
And
g(x,y) = 2*x + 2*y -p
δg(x,y)/δx = 2 and δg(x,y)/δy = 2
Matching respective partial derivatives we get a system of equation
δA/δx = y = λ * = δg(x,y)/δx = 2
y = 2*λ
δA/δy = x = 2*λ
The system of equations is:
y = 2*λ
x = 2*λ
And 2*x + 2*y -p = 0
p = 2*x +2*y
So x = y p is equal either 4*x or 4*y
Solving for λ
Max is the owner of California Surfer shop his store sells shortboards that are $400 he decided to have a sale for 10% off but then raised the price up by 15%, what is the price for the Shortboards?
Answer:
$414
Step-by-step explanation:
Steps to take to derive the answer to this question :
1. Determine the price after the 10% discount
2. Use the price gotten above to determine the price after the 15% raise
price after discount = original price - discount
Discount = 0.1 x $400 = $40
Price after discount = $400 - $40 = $360
Price after raise = discounted price + raise
15% raise = 0.15 x $360 = $54
Price after raise = $360 + $54 = $414
The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence
Answer:
second term: 9
4th term:81
[tex](3rd \: term)^{2} = 9 \times 81[/tex]
=729
[tex] \sqrt{729} = 27[/tex]
3rd term=27
[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]
a1=3 the first term
[tex]81 = 3 \times {q}^{3} [/tex]
[tex] {q}^{3} = 27[/tex]
q=3
[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]
what is 286,713 rounded to the nearest ten thousand?
Answer:
290,000
Step-by-step explanation:
sorry if wrong
Please help me and actually give me a proper answer pleaseeee I beg youuuu
Answer:
A
Step-by-step explanation:
To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 134 millimeters, and a standard deviation of 8 millimeters. If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters? Round your answer to four decimal places.
; 134
a:8
n:44
3.6
3.6
P,ob.Z);Jlty : 1 - P(:
<z<-
[ - ]]p(-2.98 ' z ' 2.98)]
[ -]p(z ' 2.98) - p(z ' -2.98)]
[ - E0.9986 - 0.0014]
=0.0028
The probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.
To determine the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters, we can use the Central Limit Theorem and assume that the sample mean follows a normal distribution.
Given:
Mean diameter of the population (μ) = 134 millimeters
Standard deviation of the population (σ) = 8 millimeters
Sample size (n) = 44
Difference from the population mean (d) = 3.6 millimeters
To find the probability, we need to calculate the z-score and then find the corresponding area under the normal curve.
First, calculate the standard error of the mean (SE):
SE = σ / sqrt(n)
SE = 8 / sqrt(44) ≈ 1.206
Next, calculate the z-score using the formula:
z = (x - μ) / SE
For a difference of 3.6 millimeters, we have:
z = (3.6 - 0) / 1.206 ≈ 2.988
Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score (greater than 2.988). The area represents the probability.
P(z > 2.988) ≈ 0.0014
Rounding to four decimal places, the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.
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f) 2(x +3) = 8 - 3 (x-4)
Answer: x = 14/5. Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5
Answer:
x = 2.8Step-by-step explanation:
2(x +3) = 8 - 3 (x-4)
=> 2x + 6 = 8 - 3x + 12
=> 2x + 3x = 8 - 6 + 12
=> 5x = 14
[tex] = > x = \frac{14}{5} [/tex]
=> x = 2.8 (Ans)
What is the pressure of 0.5 moles of oxygen gas in a 1.50L container at -37°C?
Answer:
volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.
select the graph for the solution of the open sentence click until correct graph appears [×]>1
Is there supposed to be a picture or a multi choice answer because there is none.Sorry
Which expression is equivalent to 16+2·36?
f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3
9514 1404 393
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
16 +2·36 = 16 +2·4·9 = 16 +8·9
= 2^4 + 2^3 · 3^2 . . . . . matches choice F
_____
Since you're familiar with your multiplication tables, you know ...
4 = 2·2
8 = 2·4 = 2·2·2 = 2^3
16 = 2·8 = 2·2·2·2 = 2^4
9 = 3·3 = 3^2
36 = 4·9
The exponent signifies repeated multiplication.
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
What is the largest six digit number
you can make that has a 1 in the
thousands place?
Answer:
dwjoqwejo;fjoqfjop
Step-by-step explanation:
greg is at a used bookstore. Paperback books cost $1 each, and hardcover books cost $2 each. Greg can spend up to $20 in all. Write and inequality that represents this situation. Let x be the number of paperback books, and let y be the number of hardcover books.
Step-by-step explanation:
Cost of paperback books = $1x = $x
Cost of hardcover books = $2y
Given Greg can spend a MAXIMUM of $20,
Cost of Paperback books + Cost of hardcover books must be at most 20.
Inequality of this situation =
[tex]x + 2y \leqslant 20[/tex]
Multiply the polynomials and simplify by combining like terms.
(x2 + 2) (4x3+x-5) = Simplify your answer
Answer:
4x^5+9x^3-5x^2+2x-10
Step-by-step explanation:
(x^2+2)(4x^3+x-5)
4x^5+x^3-5x^2+8x^3+2x-10
4x^5+x^3+8x^3-5x^2+2x-10
4x^5+9x^3-5x^2+2x-10
TIMED WILL GIVE BRAINLYIST
Answer:
D)
Step-by-step explanation:
TY is a ray.
FR is a segment.
Ray TY intersects segment FR at point P.
Answer: D)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: TY intersects FR at point P
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
i will give BRAINLIEST!!! middle school math...
On a coordinate grid, point is at (2, 1) and point Ris at (-6, -5) Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? O Q(2, -1), S(-6,5) O Q(-2, 1), S(6,-5) O Q(-2, -1), S(6,5) O Q(-2, 1), S(-6, 5)
Answer:
Solution given:
A(x,y))----reflection about x axis--->A'(x,-y)
P(2,1)---reflection about x axis----->Q(2,-1)
R(-6,-5)----reflection about x axis-->S(-6,5)
Answer:
A. Q(2, -1), S(-6,5)Step-by-step explanation:
Reflection rule across the x-axis:
(x, y) → (x, -y)P(2, 1) → Q(2, -1)R(-6, -5) → S(-6, 5)Correct choice is A
Help If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible value of the difference $a.b - c.d$ ?
Answer: 10 I think
Step-by-step explanation:
9+1 I guess
Answer:
:Correct answer is 18.3
:Dollar replacement 70
An engineer is studying early morning traffic patters at a particular intersection. The observation period begins at 5:30 am. Let X denote the time of arrival of the first vehicle from the north-south direction; let Y denote the first arrival time from the east-west direction. Time is measured in fractions of an hour after 5:30 am. Assume that the density for (X, Y ) is given by
fXY (x,y)= 1/x 0
Required:
a. Find the curve of regression of X on Y. Is the regression linear?
b. Find the mean value of X when y = 0.5.
c. Find the curve of regression of Y on X. Is the regression linear?
d. Find the mean value of Y when x = 0.75.
The regression curve is attached with the answer and the value of x on y = 0.5 is 2.
What is the regression line?Curve fitting in regression analysis is the process of choosing the model that best fits the particular curves in your dataset.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that an engineer is studying early morning traffic patterns at a particular intersection. The observation period begins at 5:30 am. Let X denote the time of arrival of the first vehicle from the north-south direction; let Y denote the first arrival time from the east-west direction. Time is measured in fractions of an hour after 5:30 am.
The mean value of X at y=0.5 will be calculated as,
y = 1 / X
X = 1 / y
X = (1 / 0.5)
X = 2
Therefore, the regression curve is attached with the answer and the value of x on y = 0.5 is 2.
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h - c + what = h
help help
Answer:
h - c + c = h
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If you have H - C + ____ = H you would need something to cancel out C and I believe that would just be a positive C
What’s the answer and work for this? Someone please tell me
Answer:
The averages are equal, since both are 4.Step-by-step explanation:
2 + 4 + 6 = 12 / 3 = 4
Average of even numbers = 4
1 + 3 + 5 + 7 = 16 / 4 = 4
Average of odd numbers = 4
The averages are equal, since both are 4.
Hope that helps!
PLS HELP ASAP!!!!!!!!!!!
2nd one
I don't take animal biology/zoology or whatever but I think it's just a long winded version of saying camouflage
Answer:
I am pretty sure the answer is B. (The second one)
Step-by-step explanation:
if the average of x and y is 11 and the average of x, y and z is 5, what is the value of z?
Answer:
z = -17
Step-by-step explanation:
If the average of x and y is 11, then;
x+y/2 = 11
x+y = 2 + 11
x+y = 22 .... 1
similarly, if average of x, y and z is 5, then;
x+y+z/3 = 5
x+y+z = 3*5
x+y+z = 15
Since x+y = 22
22 + z = 5
z = 5 - 22
z = -17
Hence the value of z is -17
Plsss help!! Write the equation of the line for the graph shown below.
Answer:
C. y = ½x + 4
Step-by-step explanation:
Equation for a line in slope-intercept form is given as y = mx + b
So, we need to find the slope (m) and the y-intercept (b) of the line given.
m = ∆y/∆x
Using two points on the line, (0, 4) and (-2, 3),
Slope (m) = (3 - 4)/(-2 - 0)
m = -1/-2
m = ½
y-intercept (b) = 4, this is where the line intercepts the y-axis.
To write the equation, substitute m = ½ and b = 4 into y = mx + b
Thus:
y = ½x + 4
The cost per guest of catering an event of no more than 100 people is modeled by the function f(x) = 20 + 5x. The number of guests is modeled by the function g(x) = 100 −x , where x represents the number of guests fewer than 100 that attend. Evaluate(f ∙g )(18) and interpret what it means in the context of the problem.
Answer:
430 is the cost of catering 18 less than 100 guests.
Step-by-step explanation:
f(g(18))=f(100-18)=f(82)=20+5*82=430
What is the axis of symmetry for the function y=-(x - 3)2 + 5?
B. X=-3
O
A x= -5
C. x= 3
O D. x=5