The Rivertown city council is attempting to choose one of four sites (A, B, C, or D) as the location for its new emergency facility. After the new emergency facility becomes available for service, the current emergency facility will be shut down. The project manager has estimated the following response times in minutes from each of the proposed sites to the four areas that must be served by the emergency facility.
proposed-site Area-Served
1 2 3 4
A 5.2 4.4 3.6 6.5
B 6.0 7.4 3.4 4.0
C 5.8 5.9 5.9 5.8
D 4.3 4.8 6.5 5.1
The number of emergency runs from the current emergency facility to each of the four areas over the past year is as follows:
Area 1 2 3 4
Number-runs 150 65 175 92
Compute the weighted mean response time from the proposed locations and determine which proposed site should be selected for the new emergency facility.
a. site A
b. site B
c. site C
d. site D
Answer:
SITE A
Step-by-step explanation:
Given :
proposed-site Area-Served
1 2 3 4
A 5.2 4.4 3.6 6.5
B 6.0 7.4 3.4 4.0
C 5.8 5.9 5.9 5.8
D 4.3 4.8 6.5 5.1
Area 1 2 3 4
Number-runs 150 65 175 92
Computing the weighted average for the 4 sites :
Site A:
((150*5.2) + (65*4.4) + (175*3.6) + (92*6.5)) / (150 + 65 + 175 + 92)
= 2294 / 482
= 4.7593
Site B:
((150*6.0) + (65*7.4) + (175*3.4) + (92*4.0)) / (150 + 65 + 175 + 92)
= 2344/ 482
= 4.863
Site C:
((150*5.8) + (65*5.9) + (175*5.9) + (92*5.8)) / (150 + 65 + 175 + 92)
= 2819.6/ 482
= 5.850
Site D:
((150*4.3) + (65*4.8) + (175*6.5) + (92*5.1)) / (150 + 65 + 175 + 92)
= 2563.7/ 482
= 5.319
From the weighted average response time computed for the different sites ;
The best location for the emergency facility would be one with the least average response time; which is SITE A.
put these fractions in ascending order 1/2 3/5 and 3/4
There are 10 girls and 6 boys in a class. The teacher randomly draws one student's name and then draws another. What is the probability that the first name drawn will be a boy and the second will be a girl? (Please show work so I can understand)
60%
23.4%
16%
25%
Answer:
25%
Step-by-step explanation:
Answer:
D 25%
Step-by-step explanation:
Calculate the mass of a sample of pure silver (density of 10.49 g/mL) that has a volume of 12.99 mL.
Answer:
please find attached pdf
Step-by-step explanation:
Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to
perform the computation How reasonable is your estimate when compared to the actual answer?
2815-15.458
An estimate of the difference is (Type a whole number
Answer:
Step-by-step explanation:
2915 can stay as it is; 15.458 should be rounded down to 15. Then we have
2915-15, or 2900 (which is a very reasonable estimate).
The baker's recipe for a loaf of bread calls for 12 ounces of flour. If he uses all of his flour to make loaves of bread, how many full loaves can he bake in two weeks?
Answer:
not enough info. how much flour does he have to begin with? how much does he use per day?
Step-by-step explanation:
Plss HELP I’LL GIVE BRAINLIEST!!!!!
A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
A)
20 cm?
B)
36 cm2
C)
54 cm
D)
58 cm2
Answer:
the answer is D:)
Step-by-step explanation:
write the equation that matches the green line
Answer:
Cant see the picture
Step-by-step explanation:
Cant see the picture
To visit her grandmother, Melek takes a motorcycle 3.8, kilometers and a horse 3.32, point, 32 kilometers. In total, the journey takes 50.54 minutes
How many kilometers is Melek's journey in total?
Malik to visit her grandmother takes a motorcycle 3.8 kilometres at a horse 3.3 2.3 32 kilometres in total journey takes 50.5 4 minutes total kilometres which mlx journey is 7.725 kilometres
Answer:
The answer is 7.17 on khan
Step-by-step explanation:
Btw the first answer is wrong
someone help me please
39 - 24 + 6m
Which of the following describes 6m in the expression above?
A. factor
B. product
C. coefficient
D. sum
Gechina Galvez shopped at a department store during the end-of-summer sale All luggage was marked down 35 percent. She purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8000, and a tote bag that regularly sells for $39.99. What is the total sale price?
Answer:
The total sale price that Gechina paid was $5,274.71.
Step-by-step explanation:
Given that Gechina Galvez shopped at a department store during the end-of-summer sale in which all luggage was marked down 35 percent, and she purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8,000, and a tote bag that regularly sells for $39.99, in order to know the total sale price, the following calculation has to be made:
100 - 35 = 65
(8,000 + 74.95 + 39.99) x 0.65 = X
8,114.94 x 0.65 = X
5,274.71 = X
Therefore, the total sale price that Gechina paid was $5,274.71.
Pete read 2/5 of his book on the first day and 1/4 of his book on the second day. What fraction of the book Pete has left to read after two days of reading
=========================================================
Work Shown:
2/5 = 8/20 .... multiply top and bottom by 4
1/4 = 5/20 ..... multiply top and bottom by 5
The fractions 2/5 and 1/4 are equivalent to 8/20 and 5/20 in that order.
These new equivalent fractions add to 8/20+5/20 = (8+5)/20 = 13/20
After two days, Pete has read 13/20 of the book.
This leaves 1 - (13/20) = 20/20 - 13/20 = (20-13)/20 = 7/20 of the book left to be read.
Note how 13/20 + 7/20 = (13+7)/20 = 20/20 = 1
Mick paid $3.84 in sales tax on an item that cost $64.00 before tax. At that rate, how much would he pay in
sales tax for an item that costs $53.00 before tax? Explain STEP-BY-STEP
Tax rate = tax amount / item cost
Tax rate = 3.84 / 64.00
Tax rate = 0.06 (6%)
Tax amount = item cost x tax rate
Tax amount = 53.00 x 0.06 = $3.18
Lester's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 100 espressos in all, 40% of which were single-shot. How many single-shot espressos did the cafe sell?
Answer:
The cafe sold 40 single shot espressos.
Step-by-step explanation:
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a, 2) is also on the line?
a. -7
b.-1
c.1
D.7
I NEED ANSWERS SOON
Answer:
[tex]\boxed{a = 3}[/tex]
Step-by-step explanation:
[tex] (using \: the \: points : (2, \: 7) = ( x_{1}, \: y_{1}\: \: ) \\ hence : (a, \: 2) = ( x_{2}, \: y_{2}\: \: ) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{2 - 7}{a - 2} \\ - 5 = \frac{2 - 7}{a - 2} \\ - 5(a - 2) = 2 - 7 \\ - 5a + 10 = 2 - 7 \\ - 5a = - 5 - 10 \\ - 5a = - 15 \\ a = \frac{ - 15}{ - 5} \\ \boxed{a = 3}[/tex]
Which model can be used to represent the number below pls help
given < A ≅ < D, AB ≅ DE, and AC ≅ DF, prove that < C ≅ < F. show your work.
-2/3-(-3/4)
Simplify if needed
Answer:
1/12
Step-by-step explanation:
Start by simplifying the fraction's signs:
[tex]-\frac{2}{3} - (- \frac{3}{4} ) = -\frac{2}{3} +\frac{3}{4}[/tex]
Now write both fractions as equivalent fraction with a common denominator of 12:
[tex]-\frac{2}{3} +\frac{3}{4} =-\frac{8}{12} +\frac{9}{12}=\frac{1}{12}[/tex]
If you need to add 5/6 to 5/12
again you need to write the fractions with a common denominator in this case also 12:
[tex]\frac{5}{6} +\frac{5}{12}= \frac{10}{12} +\frac{5}{12}=\frac{15}{12} = \frac{5}{4}[/tex]
in this last step we simplified a common factor of "3" in numerator and denominator to reduce the fraction to 5/4
POINTS PLZ HELP!
What is the complete factorization of 8x2 − 8x + 2?
A.
2(4x − 1)2
B.
8(x − 1)(x + 1)
C.
2(2x − 1)2
D.
2(x − 2)(x + 2)
Answer:
Step-by-step explanation:
[tex]step^ 1=>2(4x^{2} -4x+1)\\step^2=> 2(2x-1)^2[/tex]
Classify each number according to its value
5.2×10-4
Answer:
48
Step-by-step explanation:
first put 5.2 x 10 in parentheses . Which you do first then subtract 4 and you will get your answer.
I have this question on a homework and don't know how to do It
Area of a triangle = 1/2 x length x height.
80 = 1/2 x (x+1) (2x-2)
Multiply both sides by 2:
160 = (x+1)(2x-2)
Expand the right side:
160 = 2x^2 -2
Add 2 to both sides:
162 = 2x^2
Divide both sides by 2:
81 = x^2
Take the square root of both sides:
x = 9
Now find the length of the s1des:
(x+1) = 9+1 = 10
2x-2 = 2(9) -2 = 18-2 =16
The shorter side is 10
a typing question please help and make brainleist
Describe the relationship between base 4 and exponent 3
there are no choices I just need an answer
Answer:
To the power 3 means cube.
Whenever you cube an even number it is a multiple of 8.
Whenever an exponent is used on 4, the number is always a square.
The value of the give exponent is 64.
Given that, the base is 4 and exponent is 3.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
With the base 4 and exponent 3, we have
4³
= 4×4×4
= 64
Therefore, the value of the give exponent is 64.
To learn more about an exponents visit:
https://brainly.com/question/15993626.
#SPJ2
I need help please. Thank you.
how many feet are there in 23 yards? answer without units.
Answer:
69 :)
Step-by-step explanation:
Answer: 69 feet
Step-by-step explanation:
1 yard= 3 feet
Given
There are 23 yards
Calculate
23 yards × 3 feet/yard= 69 feet
Hope this helps!! :)
Please let me know if you have any questions
The price of an item yesterday was $140. Today, the price fell to $42. Find the percentage decrease.
Answer:
Step-by-step explanation:
140-42 = 98
amount of decrease = $98
$98/$140 = 0.7 = 70%
The price decreases by 70%
What is the ratio of a:b, knowing that a-b/a+b = 3/5.
Answer:
4:1
Step-by-step explanation:
[tex]\frac{a-b}{a+b}[/tex] = [tex]\frac{3}{5}[/tex]
4-1 = 3
4+1 = 5
What single decimal multiplier would you use to increase by 7% followed by a 9% increase?
Answer:
[tex]Digit = 1.1663[/tex]
Step-by-step explanation:
Given
Increase by 7% followed by a 9% increase
Required
Represent by a single decimal
Represent 7% increment by x and 9% increment by y.
Increment by 7% is:
[tex]x = 1 + 7\%[/tex]
Express as decimal
[tex]x = 1 + 0.07[/tex]
[tex]x = 1.07[/tex]
Increment by 9% is:
[tex]y = 1 + 9\%[/tex]
Express as decimal
[tex]y = 1 + 0.09[/tex]
[tex]y = 1.09[/tex]
The single digit is:
[tex]Digit = x * y[/tex]
[tex]Digit = 1.07*1.09[/tex]
[tex]Digit = 1.1663[/tex]
If a number is decreased by 19 the result is -15 What is the number?
Answer:4
Step-by-step explanation:
What's the slope of -x+2y=5
Answer:
Slope = (1/2)
Step-by-step explanation:
Rearrange the equation into the y = mx + b format.
-x + 2y = 5
2y = x + 5
y = (1/2)x + (5/2)
m represents slope, which is (1/2) in this question.