Answer:
You have 13 loonies and 7 quarters.
Step-by-step explanation:
Given that you have a handfull of loonies and quarters in your hand, and in total, there are 20 coins and the value of all of these coins equals $ 14.75, to determine how many loonies and how many quarters do you have the following calculation must be done:
Loonie = 1
Quarter = 0.25
1 - 0.25 = 0.75
20 x 0.25 = 5
14.75 - 5 = 9.75
9.75 / 0.75 = 13
13 x 1 + 7 x 0.25 = X
13 + 1.75 = X
14.75 = X
Therefore, you have 13 loonies and 7 quarters.
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day
Answer:
tsc = 8*1*10 = $80
twc = 8*20*0.0667*12 = $128.06
tc = 80 + 128.06 = $208.06
Step-by-step explanation:
To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).
Total service cost = (the number of channels)(cost per channel)
tsc = m*Cs
There is only 1 employee so the number of channels is 1.
The cost for this channel is $10 per hour, so 10 * 8 hours in the day.
Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)
twc = (number of arrivals)(average wait per arrival) Cw
The number arrivals is at the rate of 20 per hour.
The average wait per arrival was found as Wq previously.
Wq = 20/(30*(30-20)) = 0.0667 hours
The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.
Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.
Building A is 464 feet tall and Building B is 321 feet tall. Dale is standing between the buildings. The angle of elevation from the point on the ground where Dale is standing is 75 degrees to the top of Building A and 48 degrees to the top of Building B, how far apart are the buildings?
Answer:
The distance between the buildings is:
D = 413.3 ft
Step-by-step explanation:
Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.
One of the triangles, let's call it triangle A, has the catheti:
Distance between Dale and Building A = d1
Height of Building A = 464 ft
The other triangle (triangle B) has the catheti:
Distance between Dale and Building B = d2
Height of building B = 321ft
We want to find the distance between the buildings, which is equal to d1 + d2.
Then we want to find d1 and d2.
For triangle A:
We know that the angle at the vertex where Dale is standing, is 75°
Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.
Remember that:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Then:
Tan(75°) = (464 ft)/(d1)
d1 = (464 ft)/(Tan(75°)) = 124.3 ft
Now for triangle B, the angle at the vertex where Dale is standing is 48°.
from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.
Then:
Tan(48°) = 321ft/d2
d2 = (321ft)/(Tan(48°)) = 289ft
Then the distance between the buildings is:
D = d1 + d2 = 124.3 ft + 289ft = 413.3 ft
Find a fraction that, when multiplied by 1/3, is less than 2/7. Justify your answer.
Step-by-step explanation:
[tex]x < \frac{6}{7} [/tex]
All the fractions which less than (6/7) will be true
The steps of the solution in the above photo
I hope that is useful for you :)
Answer:
1/2 times 1/3
Step-by-step explanation:
Multiply them and you get 1/6 which is less than 2/7.
Answer please and explain
Answer:
18.84956, 18.84 if rounded to the nearest hundredth, and 18 if rounded to nearest whole number.
Answer:
Step-by-step explanation:
teacher was comparing two sets of quis scores shown below.
Quiz Scores
Quiz 1
70
Quiz 2
75
82
91
85
87
%一一一一
74
77
What reasonable conclusion can be drawn from the data?
The mean of Quiz 1 scores is greater than the mean of Quiz 2 scores, but the variability is the same.
The mean of Quiz 2 scores is greater than the mean of Quiz 1 scores, but the variability is the same
The variability of Quiz 1 scores is greater than the variability of Quiz 2 scores, but the mean is the same.
The variability of Quiz 2 scores is greater than the variability of Quiz 1 scores, but the mean is the same.
Jjjj
HELP PLEASE 15 POINTS
The number of bacteria in a petri dish triples every month, if the dish started with 25 bacteria, how many will there be an 8 months?
Answer:
600
Step-by-step explanation:
25x3 (per month) therefore it would be 75 times 8
Answer:
164025
Step-by-step explanation:
Please help me with the two column proof
Part 2B
Answer:
Step-by-step explanation:
I can't read the diagram well enough to tell you how exactly this should be done and I've been reprimanded a couple of times for using comments to solve problems, but this much I can tell you.
You need 2 angles
One comes from vertical angles being equal.
the other comes from the other end of the line that is bisected. Be careful to chose this angel. The two angles are equal because the lines are parallel.
Now what you have is ASA which always proves congruency. AAS should never be used if you can avoid it. If you search out AAS on the internet you will find long discussions on why AAS should never be used.
In this case it will work but even if it does, it should be avoided because you may run into questions where there are conditions that make AAS incorrect. Even if you are told it is OK in your lessons, you should not do it.
lecture ends.
Sorry.
A savings account starts with $231 25. After 8 years of continuous compounding at an
interest rate the account has $1850.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Enter your answer in the box
Answer:
87.5%
Step-by-step explanation:
Took the k12 math test
A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate of 87.5% the account has $1850.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest = P(1+r/n)^rt
A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate the account has $1850.
Compound Interest = P(1+r/n)^rt
[tex]\rm 1850 = 231 25 (1 + r/12)^{96}[/tex]
[tex]\rm 1850 = 231 25 (1 + r/12)^{96}\\\rm 1850 /231 25 = (1 + r/12)^{96}[/tex]
r = 87.5%
Thus, the interest rate percentage is 0.87 rate per year.
Learn more about interest;
https://brainly.com/question/4128149
HELP PLZ!
The Fluffy Lump Cat Toy Company rents a warehouse facility. There
is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of
toys that are stored. If the total cost for this month was $1315, how many boxes
of toys are being stored?
NO LINKS
Answer:
23 boxes of toys are being stored.
Step-by-step explanation:
There is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of toys that are stored
This means that for x boxes of toys stored, the total cost is of:
[tex]C(x) = 1200 + 5x[/tex]
If the total cost for this month was $1315, how many boxes of toys are being stored?
This is [tex]x[/tex] for which [tex]C(x) = 1315[/tex]. So
[tex]C(x) = 1200 + 5x[/tex]
[tex]1315 = 1200 + 5x[/tex]
[tex]5x = 115[/tex]
[tex]x = \frac{115}{5}[/tex]
[tex]x = 23[/tex]
23 boxes of toys are being stored.
What is (0.4) exponential form?
Answer:
it would be 0.4 to the power (exponent) of 3
Step-by-step explanation:
should the answer be 0.4^3
(hope this helps can i plz have brainlist :D hehe)
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Answer:
432
Step-by-step explanation:
Answer: 4032
Step-by-step explanation: 9x4x112 is 4032
i took the test and pls give brainiest
show your work please
Answer:
-0.375
Step-by-step explanation:
just convert the expression to get -0.375
hope this helps
What is the area of the triangle?
6 yd.
2 yd.
Answer:
12 yd.
Step-by-step explanation:
Please find the area of the compound figures. PLEASE AND THANKS :D
Answer:
1200
Step-by-step explanation:
Please help.. I really don't understand this
Answer:
The answer is 62 degrees
Step-by-step explanation:
I was kind of anticipating this question, given the others you posted. :) It builds on what you learned in the last 2.
Two angles that form a straight line = 180 degrees.
So x + 149 = 180, x = 31.
Now look at the horizontal line that is parallel on top. The corresponding angle for x is the upper left angle.
And the prior example also said that vertical angles/opposite angles are equal. So x = y, so y = 31 also.
The question is what is x + y
31 + 31 = 62
please let me know if you have questions about this.
Dana bought 144 pencils for $8.64.which equation could be used to determine the cost of each pencil,x?
A.144/8.64=x
B.x/144=8.64
C.8.64-x=144
D.144x=8.64
Answer:
144x=8.64
This way you can divide by 144 to find how much each individual pencil costs
Tell whether each kind of angle is Right, Acute or Obtuse angle. Write your answer inside the box.
Answer:
1. Right Angle
2. Acute Angle
3. Acute Angle
4. Obtuse Angle
5. Right Angle
Step-by-step explanation:
Please mark as brainliest
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]
The probability of the given scenario occuring is about 0.0153.
100 POINTS!!
zapata junior high is considering changing its school colors. the results of a survey show that 20 of 36 students are in favor of the change. which is the best prediction for the number of students in the entire body of 1,200 students who are in favor of changing the school colors?
A. 50
B. 400
C. 660
D. 530
Answer: C
Step by Step Explanation: The answer is 660
The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
The results of a survey show that 20 of 36 students are in favor of the change.
Now, Let number of students in the entire body of 1,200 students who are in favor of changing the school colors is, x
Hence, We can formulate;
⇒ 20 / 36 = x / 1200
⇒ 5 / 9 = x / 1200
⇒ 1200 × 5 / 9 = x
⇒ x = 6000 / 9
⇒ x = 660
Thus, The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ2
3(5)+2(w-1)=
Cual es el valor de la expresión algebraica?
Answer:
distribute
2(w-1)
a(b-c)=ab-ac
(3)(5)+(2)(w)+(2)(−1)
=15+2w+−2
combine like terms
15+2w+−2
=(2w)+(15+−2)
=
2w+13Step-by-step explanation:
https://qcv.gg/rXpglU
Write in standard form. (Use Desmos)* 9.76x10 with a 5 on top of the ten
Answer:
976000
Step-by-step explanation:
Why
What does an individual's effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year's tax rate
Answer:
d
Step-by-step explanation:
if the taxes raise each year
what's in between 1/3 and 4/3
Answer:
5/6
Step-by-step explanation:
:)
The number of copies made each week by teachers at Lamley High School follows a bell-shaped distribution with a
mean of 550 copies and a standard deviation of 185 copies. Mr. Thomas made 782 copies last week. His Z-score is
1.25. Which of the following statements best interprets this value?
O Mr. Thomas made 125 more copies, on average, than the mean number of copies of teachers at Lamley High
School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the median number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the median number of copies of
teachers at Lamley High School.
Answer:
3. The number of copies he made is 1.25 standard deviations more than the mean number of copies made by teachers.
Step-by-step explanation:
In statistics, a z-score is measurement that describes a value's relationship to the mean and allows us to compare the value and the mean. It tells us how many standard deviations above or below the population mean.
Mr. Thomas has a z-score of 1.25.
He made 782 copies last week. The statistic this is being compared to is the mean of 550 copies by teachers per week at Lamley High School.
Therefore, the best interpretation is Mr. Thomas made 1.25 standard deviations more than the mean number of copies. The correct answer is choice 3.
Let's make sure the other choices are incorrect.
The first answer is incorrect because a z-score doesn't compare the exact values, but uses the standard deviation to compare. The second answer is incorrect because he made 782 copies, while the mean was 550. He made more copies, plus the z-score is positive. The fourth and fifth answers are incorrect because the z-score doesn't use the median to compare.if answer is correct brainliest
Does anyone know what the answer please!?????????
Answer:
-5<x<9
Step-by-step explanation:
Within a triangle, the greater an angle, the greater the length of opposite side. So, since we know that 42° gives an opposite side of 23, and (3x+15)° gives an opposite side of 21, (3x+15) must be less than 42:
3x+15<42
3x<27
x<9
We also know that the angle (3x+15)° cannot equal zero or less than zero. So find x when 3x+15=0, and note that our value for x must be greater than this:
3x+15=0
3x=-15
x=-5
so, -5<x
Put both parts together to get: -5<x<9
14 + 3 [81 - (4x6)]
Please Show Your Work!
Answer:
185
Step-by-step explanation:
first multiply to get 14+3(81-24)
then calculate to get 14+3*57
multiply and get 14+171
the calculate to get your final answer which is 185
Answer:
969
Step-by-step explanation:
4x6+=24
81-24=57
14+3(57)
17(57)
969
David averaged 12 points per game during his 7th grade basketball season. As a result of practicing all summer, he averaged 20 points per game during his 8th-grade season. By what percent did his average change?
Answer:
20-12=8 the answer is 8 I did the math
Answer:
8 is right
Step-by-step explanation:
because 20-12=8
i need help please i will mark u brill
Step-by-step explanation:
25 - ( 9 - 4.3 ) = 25 - 5.3 = 20.7 ●
Answer:
false
Step-by-step explanation:
rewrite this with 4.3 in place of y first
25 - (9 - 4.3) = 20.7
25 - (4.7) = 20.7
25 - 4.7 = 20.7
25 - 4.7 = 20.3
20.3 ≠ 20.7
false
hope this helped! good luck matey
-cheesetoasty