Answer:
$525.13
Step-by-step explanation:
cost per month = total expenses / months in a year
total expenses = fixed cost + variable cost
$2,125.10 + $4,176.43 = $6,301.53
cost per month = $6,301.53/ 12 = $525.13
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.3 millimeters (mm) and a standard deviation of 1.1 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.)
a. the thickness is less than 3.0 mm.
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm
Answer:
Follows are the responses to the given question:
Step-by-step explanation:
In point a:
z score for 3:
[tex]= \frac{(3 - 5.3)}{1.1} \\\\ =-2.09[/tex]
So,
P(Less than 3.0 mm):
[tex]=P(z < -2.09)\\\\ = 0.0183[/tex]
In point b:
z score for 7:
[tex]= \frac{(7 - 5.3)}{1.1} \\\\= 1.55[/tex]
So,
P(Less than 3.0 mm):
[tex]= P(z > 1.55) \\\\= 0.0611[/tex]
In point C:
P(Between 3 and 7):
[tex]= P(-2.09 < z < 1.55)\\\\\ = 0.9206[/tex]
The graphs of triangles LMN and NOP are shown.
which of the following best describes the slope of line LP?
A) 5/2
B) 2
C) 2/5
D) 1/3
===========================================================
Explanation:
Point L is located at (-8, 1) while P is at the point (7,7)
Let's apply the slope formula for these two points
m = (y2-y1)/(x2-x1)
m = (7-1)/(7-(-8))
m = (7-1)/(7+8)
m = 6/15
m = (3*2)/(3*5)
m = 2/5 is the slope of line LP
A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.
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.
A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.
Answer:
::::::::::::::::::
5:2
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]
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
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
helppp meee plsss i’m begging
Answer:
y = 9
Step-by-step explanation:
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
A company has to buy computers and printers. Each computer, x, costs $550 and each printer, y, costs $350. If the company spends $8,800 and buys a total of 20 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
Answer:
The company bought 9 computers and 11 printers.
Step-by-step explanation:
Given that a company has to buy computers and printers, and each computer, x, costs $ 550 and each printer, y, costs $ 350, if the company spends $ 8,800 and buys a total of 20 machines, to determine how many of each did it buy the following calculation must be performed:
20 x 550 + 0 x 350 = 11,000
15 x 550 + 5 x 350 = 10,000
10 x 550 + 10 x 350 = 9,000
9 x 559 + 11 x 350 = 8,800
Thus, the company bought 9 computers and 11 printers.
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:
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
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
5 características importantes Sobre la reproducción que se realiza a través de las flores
Answer:
No one here speaks spanish-
Step-by-step explanation:
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
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]
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 is 286,713 rounded to the nearest ten thousand?
Answer:
290,000
Step-by-step explanation:
sorry if wrong
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
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:
Mrs. Rayo cut one piece of pie as shown in the drawing.
From the first cut to the second cut, she rotated the knife
60 one-degreee turns.
second cut
o
first cut
What is the measure of the angle formed by the piece of
pie?
40°
60°
100°
O 180°
Answer:
60°
Step-by-step explanation:
She rotated the knife 60° so the second cut will make an angle of 60° to the first cut.
According to a study, 77 % of K-12 schools or districts in a country use digital content such as ebooks, audio books, and digital textbooks. Of these 77 %, 7 out of 20 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum.
Answer:
26.95%
Step-by-step explanation:
The computation of the probability that randomly selected is shown below:
Since 77% school or district use digital content
And, of these 77%, 7 out of 20 use the digital content as the curriculum part
So based on the above information
The probability is
= 77% × 7 ÷ 20
= 26.95%
Hence, the probability is 26.95%
There are 10 Pokémon cards on a table. Three are identical Pikachu cards, two are identical Charmander
cards, four are identical Mew cards, and 1 is a Gengar card. How many different ways can these cards be arranged?
Answer:
These cards can be arranged in 3,628,800 ways.
Step-by-step explanation:
Number of arrangements of n elements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
How many different ways can these cards be arranged?
10 cards, so:
[tex]A_{10} = 10! = 3628800[/tex]
These cards can be arranged in 3,628,800 ways.
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
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.
To know more about probability here
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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
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:
C OF
The following table shows a portion of a three-year amortization schedule.
3 Year Amortization Schedule
Loan Amount or Principal S 11.940.00
Interest Rate on Loan
7.45%
Extra Payment to Principal $
Month Payment Principal Interest Balance
171 $ 371.13 S 327.92 S 43.21 S 6,632.16
18 5 371.13 S 329.96 41.17 S 6.302.20
19 $ 371.13 S 332 01 | $ 39 13 S 5.970.19
20 S
371.13 S 334.07 S 37.06S 5.636.12
21 S 371.13 S 336.14 S 34.99S 5.299.98
22 s 371.13 S 338.23S 32.90S 4.961.75
23 S
371.13 S 340.33S 30.80S 4.621.42
24 S
371.13 S 342.44S 28.69S 4.278.98
25 S 371.13 S 344.575 26.57 S 3.934 41
After two years, how much has been paid into interest?
a $4,628.14
b $1,246.10
C С
$978.96
d. $1,912.05
Hi
Answer:
b cz vc
Step-by-step explanation:
bv
The total amount of interest paid after two years is $1,246.15.
What is an amortization schedule?An amortization schedule is a table that shows the periodic payments, portions of interest and principal paid, and the loan balance. It is useful for financial managers to understand how much is remaining unpaid and the amount to record as the interest expense periodically.
Data and Calculations:Loan Amount or Principal = $11,940.00
Interest Rate on Loan = 7.45%
Extra Payment to Principal $0
Month Payment Principal Interest Balance
17 $371.13 $327.92 $43.21 $6,632.16
18 $371.13 $329.96 $41.17 $6,302.20
19 $371.13 $332.01 $39.13 $5,970.19
20 $371.13 $334.07 $37.06 $5,636.12
21 $371.13 $336.14 $34.99 $5,299.98
22 $371.13 $338.23 $32.90 $4,961.75
23 $371.13 $340.33 $30.80 $4,621.42
24 $371.13 $342.44 $28.69 $4,278.98
25 $371.13 $344.57 $26.57 $3,934 41
Full Amortization SchedulePeriod PV PMT Interest FV
1 $-11,939.87 $371.13 $-74.13 $11,642.86
2 $-11,642.86 $371.13 $-72.28 $11,344.02
3 $-11,344.02 $371.13 $-70.43 $11,043.31
4 $-11,043.31 $371.13 $-68.56 $10,740.74
5 $-10,740.74 $371.13 $-66.68 $10,436.30
6 $-10,436.30 $371.13 $-64.79 $10,129.96
7 $-10,129.96 $371.13 $-62.89 $9,821.72
8 $-9,821.72 $371.13 $-60.98 $9,511.57
9 $-9,511.57 $371.13 $-59.05 $9,199.49
10 $-9,199.49 $371.13 $-57.11 $8,885.47
11 $-8,885.47 $371.13 $-55.16 $8,569.50
12 $-8,569.50 $371.13 $-53.20 $8,251.58
Year #1 end
Total interest for the first year = $765.26
13 $-8,251.58 $371.13 $-51.23 $7,931.67
14 $-7,931.67 $371.13 $-49.24 $7,609.79
15 $-7,609.79 $371.13 $-47.24 $7,285.90
16 $-7,285.90 $371.13 $-45.23 $6,960.00
17 $-6,960.00 $371.13 $-43.21 $6,632.08
18 $-6,632.08 $371.13 $-41.17 $6,302.13
19 $-6,302.13 $371.13 $-39.13 $5,970.12
20 $-5,970.12 $371.13 $-37.06 $5,636.06
21 $-5,636.06 $371.13 $-34.99 $5,299.92
22 $-5,299.92 $371.13 $-32.90 $4,961.69
23 $-4,961.69 $371.13 $-30.80 $4,621.37
24 $-4,621.37 $371.13 $-28.69 $4,278.93
Year #2 end
Total interest for the second year = $480.89
Total interest after two years = $1,246.15 ($765.26 + $480.89)
Thus, the total amount of interest paid after two years is $1,246.15.
Learn more about calculating loan amortization balances at brainly.com/question/14511778
Simplify the expression. 5(x + 10) + x
Answer:
6x+50
Step-by-step explanation:
we need to distribute the 5 first
5x+50+x
then
6x+50
Answer:
[tex]6x + 50[/tex]
Step-by-step explanation:
[tex]5x + 50+ x[/tex]
[tex]6x + 50[/tex]