~700 regular sodas to server 864 people
(the actual answer is 699.4285)
The number of regular sodas that should be bought will be 700 regular sodas.
If out of 21 people prefer diet soda to regular soda, then it means that 17 people prefer regular soda.
Since the number of people are 864 people, then the number of regular sodas that'll be bought will be:
= 17/21 × 864
= 699.42
= 700 Approximately
Therefore, the number of regular sodas that should be bought will be 700 regular sodas.
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On the next test, one of the students score 100 but the remaining 4 students score 50 again. What is the average score on this second test?
Answer:
60
Step-by-step explanation:
50+50+50+50+100= 300
divide by 5 students
300/5 = 60
Answer:
now I can answer correctly! 60 is the average
Step-by-step explanation:
100+50(4) =300
50(4)= 200+100=300
300/5= 60
4 x 3/4 is greater than 3/4 , since 4 is greater than 1. True o false
Answer:
Trueeee I guessss
Step-by-step explanation:
I don't know
Si un jarrón tíene 80 cm de altura ¿ cuantos milímetros mida
Si tiene 80 cm de altura mier 800 milímetros de altura
express 75 as prodict of prime factor
75 = 1 x 75, 3 x 25,
or
75 = 3 xx 5^(2)
Please refer to the pictures below
Answer:
D
8-2
Step-by-step explanation:
System of inequalities are
x + y ≥ 7
8x + 7y ≤ 82
find the area of ABC
Answer:
area of ABC=1/2 b×h=1/2×20×6=30m²
Answer:
60 m^2
Step-by-step explanation:
( Base * Hight / 2 = Area)
20 * 6 = 120
120 / 2 = 60
242m/min express this in km/h
Answer:
14.52 km/h
Step-by-step explanation:
Please see the picture attached.
I hope this helps!
Find area of composite figure 6m 10m 8m
Answer: 24
Step-by-step explanation:
Basically you just need to add them simply breaking them up then adding them
Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Explain to Jeff how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 25.
Answer:
There will be 132 seats in row 25
Step-by-step explanation:
1st term = 12
common difference = 5
f(x) = 12 + 5(x - 1)
f(25) = 12 + 5(25-1)
f(25) = 12 + 5(24)
f(25)= 12+120
f(25)=132
There will be 132 seats in row 25
The number of seats is 137 with the general equation [tex](12+5n)[/tex] seats
General equation:In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Let the row number is [tex]n[/tex]
The number of seats in the first row is 12
As per the plan, each row shall have 5 more seats.
So, in the first row seats=12
In the second row seats=[tex]12+5[/tex]
In the third row seats=[tex]12+2\times5[/tex]
[tex]n^{th}[/tex] row seats=[tex]12+5n[/tex]
So, the number of seats in any row is [tex]12+5n[/tex]
Where [tex]n[/tex] is the row number
Now, for 25 rows, [tex]n=25[/tex] then,
The number of seats is,
[tex]12+5\times25=137[/tex]
Learn more about the topic general equation:
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Determine the missing card value that will result in a product of -324
-6 3 -9
Answer:
-2
Step-by-step explanation:
-324 ÷ -6 ÷ 3 ÷ -9 = 162
-324 ÷ 162 = -2
1. What is 2 added to 1?
4
in
Answer:
3
Step-by-step explanation:
what is the 4 in for?
Answer:
2+1=3
I think you copy pasted something else like the '4 in'.
Step-by-step explanation:
Question 2 (1 point)
If 5 hours is 25% of the time a trip will take, how long will it take?
Answer:
20 hours
5 hours- 25%
10 hours- 50%
15 hours- 75%
20 hours- 100%
What’s the answer please help !!!!
bonjour,pouvez vous m’aider ;)
a. calculer DC
b.en déduire que ED =1,60 m
c.une fillette mesure 1,10 m
elle passe a 1,40m derrière la camionnette.
Le conducteur peut-il la voir ? expliquer
Données :
(AE) // (BD)
AE = 1,50 m
BD = 1,10 m
EC = 6 cm
Answer:
je suis super nul en math desolee
1. A bank account started with $1000 and earned $10 interest per month
for two years. The bank then paid 2% interest on the account for the
next two years.
Answer:
What exactly is the question here ？？ （lol）
Treys grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture.
Answer:
144 inches
Step-by-step explanation:
Answer:
144 inches :)
Step-by-step explanation:
overnight a pipe cracked and started to leak into a basement. the graph shows the depth of the water in relation to time. how many inches does the water rise each hour?
Answer:
if a water pipe bursts over night depends on the pressure of the water but i will say a foot or more an hour
Step-by-step explanation:
17/2 is bigger than what?
Answer:
7/2= 8.5 so it can be bigger then 1/2 or anything under 8.5
Step-by-step explanation:
Select the letter for the correct answer
,
Answer:
a) 2
Step-by-step explanation:
4:8 and 6:12
4/8 and 6/12
we flip them since we want to find the conversino
8/4 and 12/6
simpilify
2 and 2
scale factor was 2
hope this helps, lmk if it is correct
can u pls help me i am really stuck this is a geo problem pls get to me as soon as possible thanks.
Question: find the value of x.
Answer:
Please refer to the attachment
Find the value of x.
m2 = x + 85
2
73°
Answer:
-12
Step-by-step explanation:
in an iscocles, the base angles equal eachother so,
73=x+85
x=-12
in a pack of 24 balloons, 3/4 are blue or green, how many of the balloons are blue or green?
Answer:
3 my answer
Step-by-step explanation:
24 divide 8-3
LIBBY NEEDS TO MAKE 1/2 OF HER CHILLI RECIPE FOR THE SCHOOLS CHILI CONTEST.IF LIBBY USUALLY NEEDS 2 CUPS OF CORN FOR HER CHILI RECIPE,HOW MUCH CORN WILL SHE NEED FOR THE CHILI CONTEST?
A. 1 CUP
B. 1/4 CUP
C. 4 CUPS
D. 2/4 CUP
Answer:
a
Step-by-step explanation:
because she only need a half of it
Answer:1/4
Step-by-step explanation:
Question 1
Which set of numbers below can be used to make a triangle?
10, 1,9
4,8,5
1,1,5
O 2, 6, 12
Answer:
The Ans is 4,8,5
Step-by-step explanation:
As 8 is the base and 4,5 are sides
Hope it helps you
Which number line shows the graph of x 11
Answer:
The second one
Step-by-step explanation:
Since the equation is X is greater than or equal to 11, because of the line under it, the "or equal to" it is a closed dot. (If it didn't have that line under it, it would be an open dot.) And, how I like to explain which way the blue arrow goes, the ">" kind of looks like the tip of an arrow, so the blue arrow should go the same way. For example, ">" seems like an arrow going this way "-->", or "<" seems like an arrow going this way "<--"!
Answer:
B, is the correct option.
Step-by-step explanation:
because x is greater than or equal to 11.
In the diagram below, which distance represents the distance from point Qto
RS?
Answer:
QT
Step-by-step explanation:
Given
The attached diagram
Required
Which distance represents Q to RS
The distance from Q to RS is determined by drawing a perpendicular line from Q to RS.
From the diagram, the perpendicular from Q to RS meets RS at point T.
Hence, the required distance is represented by QT
In addition to the information given in the drawing, which statement would be sufficient to prove
that STW-XYZ?
Number 5
Answer:
[tex]SW= 15[/tex] and [tex]TW= 24[/tex]
Step-by-step explanation:
Given
See attachment for the triangles
Required
Which additional statement proves the similarity of both triangles
From the attachment:
[tex]ST = 27\\XY = 9\\YZ = 8\\XZ = 5[/tex]
The similar sides of both triangles are: ST and XY
So:
[tex]Ratio = ST : XY[/tex]
[tex]Ratio = 27 : 9[/tex]
Divide by 9
[tex]Ratio = 3 : 1[/tex]
Another similar sides are: TW and YZ
So:
[tex]TW : YZ = TW : 8[/tex]
Equate both ratios:
[tex]TW : 8 = 3 : 1[/tex]
Represent as fraction
[tex]\frac{TW }{ 8 }= \frac{3 }{ 1}[/tex]
[tex]\frac{TW }{ 8 }= 3[/tex]
Multiply both sides by 8
[tex]8 * \frac{TW }{ 8 }= 3*8[/tex]
[tex]TW= 3*8[/tex]
[tex]TW= 24[/tex]
Another similar sides are: SW and XZ
So:
[tex]SW:XZ = SW:5[/tex]
Equate both ratios:
[tex]SW:5 = 3:1[/tex]
Represent as fraction
[tex]\frac{SW}{5} = \frac{3}{1}[/tex]
[tex]\frac{SW}{5} = 3[/tex]
Multiply both sides by 5
[tex]5*\frac{SW}{5} = 3*5[/tex]
[tex]SW = 3*5[/tex]
[tex]SW = 15[/tex]
So, the statement that proves the similarity of the triangles is:
[tex]SW= 15[/tex] and [tex]TW= 24[/tex]
It's math,I'll send u a picture!
Answer:
suree.
Step-by-step explanation:
what is the purpose of the dx in the integral ∫2x dx?
Answer:
[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex]
Step-by-step explanation:
The integration refers to the antiderivative of a function. The inverse process of differentiation is the integration.
The integration is used to find the volume and area under the curve.
In ∫ [tex]2x\,\,dx[/tex]
∫ denotes the sign of integral,
[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex],
[tex]2x[/tex] is the part to be integrated.
A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that in February 2012, a sample of 1,000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 1,100 adults showed 385 indicating that their financial security was more than fair.
Required:
a. State the hypothesis that can be used to test for a significant difference between the population proportions for the two years?
b. What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c. Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
d. What is the 95% confidence interval estimate of the difference between the two population proportion?
Answer:
The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.
Step-by-step explanation:
Let p1 be the sample of 1000 adults chosen in 2012 and
p2 be the sample of 1100 adults chosen in 2010
Part a:
The hypothesis that can be used to test for a significant difference between the population proportions for the two years is:
H0: p1-p2= 0 against the claim Ha: p1-p2≠0
Part b:
The sample proportion indicating that their financial security was more that fair in 2012 is
p1^= 410/1000= 0.41
In 2010 is:
p2^= 385/1100= 0.35
Part c:
p^c= 410+385/1000+1100= 0.3785
q^c= 1-p^c= 1-0.3785= 0.6124
The critical region is z > ±1.96
The test statistic is
z= p1^- p2^ / sqrt ( p^cq^c( 1/n1+ 1/n2)
z= 0.41-0.35 /sqrt( 0.3785*0.6124(1/1000 +1/1100)
z= 0.06 / 0.021036
z= 2.85
Conclusion
The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.
P- value : 0.00466
The result is significant( accept the null hypothesis) for value less than 0.05
Part d:
2012 2010
Sample 1000 1100
Proportions 0.41 0.35
Standard Error √0.41( 0.59)/1000 √0.35( 0.65)/1100
= 0.0155 0.01438
Standard Error for the difference = √0.0155² + 0.01438² =0.0211
p1-p2 ± z* standard error for the difference
0.41-0.35 ± 1.96 *( 0.0211)
0.06 ± 0.041356
-0.018644, 0.101356
The 95 % confidence interval estimate is (-0.018644, 0.10135
