Answer: 16 degrees obviously
Step-by-step explanation:
vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 80 per hour, and this rate is Poisson-distributed. Determine the following: a. The percentage of time the machine is busy b. The average number of customers waiting in line c. The average time customers spend in the system d. The average number in the system
Answer:
0.667 ;
0.667 customers ;
0.0166708 hour ;
1.334 customers
Step-by-step explanation:
Given that:
Service time (μ) = 30 seconds ; 2 customers per minute ; 2 * 60 = 120 customers per hour
Arrival time, λ = 80 customers per hour
a.) percentage of time machine is busy (p) ; Utilization factor :
P = λ/ μ = 80 / 120 = 0.667
b.) average number of customers waiting in line Li = p² / 2(1-p)
= 0.667² / 2(1-0.667) = 0.667 customers
c) Average time customer spend in the system = Li/λ + 1/μ
= (0.667 / 80) + (1 / 120)
0.0083375 + 0.0083333
= 0.0166708 hour
= 0.0166708 * 60 = 1.00025 minutes
D) average number in the system ;
Li + p
= 0.667 + 0.667 = 1.334 customers
Gabrielle is 9 years younger than Mikhail. The sum of their ages is 35. What is Mikhail’ age?
Answer:
Mikhail = 22
Step-by-step explanation:
Mikhail = x
Gabrielle = x-9
x+x-9=35
2x=35+9
2x=44
x=22
If you can answer these simple questions im giving brainly :)
Answer:
65 3 46
Step-by-step explanation:
Answer:
a² + 1 = 65
18/2a = 3
6(d + 8) - 10d = 46
Step-by-step explanation:
a² + 1 when a = 8
first, plug in 8 for a.
a² + 1 ⇒ 8² + 1begin simplifying by finding 8², which is just 8 · 8.
8² + 1 ⇒ 64 + 1finish simplifying by adding 64 + 1.
64 + 1 = 65therefore, when a = 8, a² + 1 = 65.
18/2a when a = 3
first, plug in 3 for a.
18/2a ⇒ 18/2(3)begin simplifying by multiplying 2 · 3.
18/2(3) ⇒ 18/6finish simplifying by dividing 18 ÷ 6.
18/6 = 3therefore, when a = 3, 18/2a = 3.
6(d + 8) - 10d when d = 1/2
(i'm going to convert 1/2 to 0.5 because i prefer working with decimals rather than fractions)
so... 6(d + 8) - 10d when d = 0.5
first, plug in 0.5 for d.
6(d + 8) - 10d ⇒ 6(0.5 + 8) - 10(0.5)begin simplifying by distributing 6 to 0.5 and 8, which is just 6 · 0.5 and 6 · 8.
6(0.5) = 36(8) = 48after distributing, your expression is 3 + 48 - 10(0.5).
continue simplifying by multiplying -10 · 0.5.
3 + 48 - 10(0.5) ⇒ 3 + 48 - 5add 3 + 48.
3 + 48 - 5 ⇒ 51 - 5finally, finish simplifying by subtracting 5 from 51.
51 - 5 = 46therefore when d = 1/2 or 0.5, 6(d + 8) - 10d = 46.
i hope this helps! have an amazing day <3
What is the unit fraction for each part?
5. David Read's the problem:
Ally bought a T-shirt and a pair of shorts on sale which
reduced prices by 1/4. The total savings on the 2
garments was $10.25. Find the original price for the
pair of shorts.
David says that the original price of the shorts was $41.
Does his answer seem reasonable? Defend your
answer by writing and solving an equation that
represents the situation.
Answer:
No, David's answer does not seem reasonable.
Let x= original purchase amount
25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.
If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.
Step-by-step explanation:
We need to get the tomatoes from farm to the stores. We have tomato farms we can buy from in California and Florida. It cost .25 per pound to buy tomatoes from California. It costs .15 per pound to buy Florida tomatoes. California has available 6,000 pounds of tomatoes and Florida has available 8,000 pounds of tomatoes. Our stores are in Tampa, Atlanta and Dallas. Tampa needs 3,000 pounds, Atlanta needs 4,000 pounds and Dallas needs 5,000 pounds. Choose the appropriate technique to minimize the total shipping cost.
a. Forecasting / time series analysis
b. Linear programming model
c. Regression analysis
d. None of the above
Answer:
b. Linear Programming model
Step-by-step explanation:
Correct option is b. Linear Programming model.
As we know that, Linear programming model is a technique that used to find the optimal solution of a given problem with the available resources.
Enter the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating decimal.
3
5
=
The decimal is
(select)
.
Answer:
3
Step-by-step explanation:
the answer is 3, you can also search up the answers on the internet or use an online calculator
Answer: Decimals are of different types based on the numbers that come after the decimal point. These types are terminating decimal numbers, non-terminating repeating decimals, recurring decimal numbers, and non-recurring decimal Numbers. The answer is 3, you can also search up the answers on the internet or use a calculator.
Which equation represents the vertical line passing through (5,-4)?
x = -4
y = -4
x = 5
y = 5
pick one
Answer:
Y = -4
Step-by-step explanation:
Given:
Points (5, -4)
Computation:
We know that vertical line means Y axis
On Y axis x always zero
So,
Y = -4
guys i really need help I'm so lost
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.
=16-9-2
=5
That's it , Very easy
distance formula is?
Answer:
what formula sorry cant help
Step-by-step explanation:
Answer:
[tex]d=\sqrt{(x2-x1)^{2} (y2-y1)^{2} }[/tex]
Step-by-step explanation:
This is what it is lol
Katniss and Peeta find the sum of their ages which is 50 years. Peeta is five years older than Katniss. What are their ages?
Answer:
peeta is 30 and kat is 20 i think
Step-by-step explanation:
graph a line with a slope of 4 that contains the point (3,0).
Answer:
The graph at the bottom of the page is what it would look like.
*Note: I made the graph using desmos
Answer:
(3,0) and (4,4)
Step-by-step explanation:
What is the CIRCUMFERENCE of the given circle?
12.57 in
30.23 in
25.13 in
50.27 in
The cost, in dollars, to produce x vats of ice cream is C ( x ) = 4 x + 4 . When selling them to ice cream shops, the price-demand function, in dollars per vat, is p ( x ) = 88 − 3 x. Find the profit function p(x). How many vats of ice cream need to be sold to maximize the profit? Find the maximum profit. Find the price to charge per vat to maximize profit
Answer:
92-7x
Step-by-step explanation:
88-3x-4x+4=92-7x
one boy has 63k and another 59k .if they share it equally,how much does each of them get
Answer:
61k
Step-by-step explanation:
63+59=122
122/2=61
Answer:
61000
Step-by-step explanation:
First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
*
6x + 3y = 12
(5.-6);
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Answer:
x = 5 and y = -6
Step-by-step explanation:
The given equations are :
6x + 3y = 12 ...(1)
4x + y = 14 ...(2)
Multiply equation (2) by 3.
12x + 3y = 42 ...(3)
Subtract equation (1) from (3).
12x + 3y-(6x + 3y) = 42-12
12x+3y-6x-3y = 30
6x = 30
x = 5
Put th value of x in equation (2).
4(5) + y = 14
20 +y = 14
y = -6
So, the solution of the equations are x = 5 and y = -6.
4x - y = 3
ax + 10y = 6
Solve for y
Answer:
Step-by-step explanation:
First Question: 4x-y=3
Second Question: ax+10y=6
First Answer: y=3-4x
Step 1: Property of Inequality!
4x-y=3 = (4x-4x) - y=(3-4x)
Step 2: Solve!
4x-4x=0 which leaves us with y=3-4x
Second Answer: y=6/10
Step 1: Property of Inequality!
ax+10y=6 = (ax-ax) + 10y= (6-ax)
Step 2: Solve!
10y=6 which leaves us with y=6/10
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis. A. : p0.2 : p0.2 B. : p0.2 : p0.2 C. : p0.2 : p0.2 D. : p0.2 : p0.2 E. : p0.2 : p0.2 F. : p0.2 : p0.2 The test statistic is z nothing. (Round to four decimal places as needed.) The P-value is nothing. (Round to four decimal places as needed.) Because the P-value is ▼ greater than less than the significance level, ▼ fail to reject reject the null hypothesis. There is ▼ insufficient sufficient evidence support the claim that less than 20% of the pumps are inaccurate.
Complete question :
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1294 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5705 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answer:
H0: p=0.2
H1: p<0.2 ;
- 3.16 ;
0.0008 ;
p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
Step-by-step explanation:
The null hypothesis ; H0 : p = 20%
Alternative ; H1 : p < 20%
Sample size, n = 1294 + 5705 = 6999
p = inaccurate / total
p = 1294 / 6999 = 0.1849
The test statistic (Z) :
(P - P0) ÷ sqrt((P0(1 - P0)) /n)
P0 = 0.2
(0.1849 - 0.2) ÷ sqrt((0.2 * 0.8)/6999))
−0.0151 ÷ 0.0047812
= - 3.1582029
= - 3.16
Pvalue : using the Pvalue from Zstatistic calculator at α = 0.01
P value = 0.000789
P value = 0.0008 (4 decimal places).
Since p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 70% while 22% require a developmental math course and 25% require a developmental English course. Find the probability that a first year student requires both a development math course and a developmental English course.
Answer:
Probability of both English and Maths = 17%
Step-by-step explanation:
Probability of English or Maths
100 -70 = 30%
Probability of English or Maths =
Probability of English + Probability of Maths + Probability of both English and Maths
30 % = 22% + 25 % + Probability of both English and Maths
Probability of both English and Maths = 47% - 30 %
Probability of both English and Maths = 17%
While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-shaped to justify using the 68-95-99.7 rule. Suppose the distribution of calories in a Chipotle meal can be considered symmetric and mound-shaped with mean 1060 calories and standard deviation 291 calories.
Required:
a. What is the approximate percentage of the Chipotle meals that have more than 469 calories?
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?
Answer:
97.9% ; 12.4% ; 771
Step-by-step explanation:
The approximate percentage who have more Than 469 calories :
P(x > 469)
Mean, m = 1060
Standard deviation, s = 291
Z = (x - mean) / standard deviation
Z = (469 - 1060) / 291
Z = −2.030927
P(Z > - 2.031) = 1 - P(Z < - 2.031)
P(Z > - 2.031) = 1 - 0.0211
P(Z > - 2.031) = 0.9788 = 97.9%
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
[(1673 - 1060) / 291] - [(1372 - 1060) / 291]
P(Z <2.106) - P(Z < 1.072)
0.9824 - 0.85814
= 0.12426 = 12.4%
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal
The Zscore at 16 percentile = -0.994
Zscore = (score - mean) / standard deviation
-0.994 * 291 = score - 1060
−289.254 = score - 1060
Score = −289.254 + 1060
Score = 770.746
Approximately 771
Three yellow balls, two red balls and five orange balls are placed in a bag. Mark draws a ball out, and replaces it. He then picks another ball.
What is the probability that he gets at least one yellow ball?
Answer:
45
Step-by-step explanation:
because of me and I can send you a picture when
5x-7y=58
Y=-x+2
X=
Y=
Answer:
Since, Y = x + 2
so, 5x-7y = 58
5x-7×x+2 = 58
5x-7x = 58
-2x = 58
x = 58÷2
x = 29
Instant brainliest please answer.
Three angles in a triangle measure x°, (4x+12)° and (3x+16)°. What is the measure of the largest angle in this triangle?
Answer:
Step-by-step explanation:
90°
Simplify to create an equivalent expression.
2(−2−4p)+2(−2p−1)
Choose 1 answer:
(Choice A)
A
-12p-6
(Choice B)
B
-10p-6
(Choice C)
C
-12p+6
(Choice D)
D
12p-6
Answer:
choice A
Step-by-step explanation:
-8p-4p - 4 - 2
= -12p-6
colin did the work to see if 10 is a solution to the equatio
A percentage is another way to write a _________________.
Answer: fraction
Step-by-step explanation:
Answer:
Decimal
Step-by-step explanation:
For example, 10% can also be .10.
You just move the decimal two places to the right or left depending on which one you want.
Question 3
Circle A has area of 500 in^2. The diameter of Circle B is three times the diameter of circle A. Estimate the area of circle B.
Answer:
750^2
Step-by-step explanation:
backtrack and find the diameter of circle A. A=πr, which means the diamater is about 159 1/11. three times the diameter will give 477 3/11, so the radius is 238 7/11. multiply it to 22/7 (π) then you get 750^2.
Simplify each expression.
ASAP PLEASE
Answer:
3
2y
Step-by-step explanation:
[tex] \bold{In \: {e}^{3} = 3In \: {e} = 3 \times 1 = 3} \\ \\ \bold{In \: {e}^{2y} = 2yIn \: {e} = 2y \times 1 = 2y}[/tex]
For the function y = -x2 – 2, how can you find the value of y when x = 3?
Answer:
y=-3x2-2
y=-8
I think it.
Answer: D- Square 3, multiply the result by -1, and then subtract 2. b r a I n l I e s t plzz