Given:
An airport limo service charges riders a fixed charge of $15 plus $4.00 per mile.
To find:
Distance in miles must a rider go to have an average cost per mile of $4.60.
Solution:
Let x be the number of miles the rider travel.
Total charges = Fixed charges + Variable charges
According to the question,
Fixed charges = $15
Variable charges = $4x
So, total charges
[tex]T=15+4x[/tex]
Divide the total charges by number of miles to get the cost per mile.
[tex]\text{Cost per mile}=\dfrac{15+4x}{x}[/tex]
Average cost per mile is $4.60.
[tex]4.60=\dfrac{15+4x}{x}[/tex]
[tex]4.60x=15+4x[/tex]
[tex]4.60x-4x=15[/tex]
[tex]0.60x=15[/tex]
Divide both sides by 0.60.
[tex]x=\dfrac{15}{0.60}[/tex]
[tex]x=25[/tex]
Therefore, the required number of miles is 25.
Write an inequality. Marianda is packing eggs in cartons. Each carton holds 12 eggs. She has already filled 3 cartons. How many more eggs does she need to fill at least 17 cartons?
14 x 12= 168. (she already filled 3 cartons. so, 17-3 =14.) she needs 168 eggs to fill the other 14 cartons.
What is the product of 12 and 5 decreased by 17
Answer:
43
Step-by-step explanation:
Answer: 43
Step-by-step explanation:
12x5-17 would be the equation
60-17 multiplication due to PEMDAS
43 subtraction
I need help on both these questions
NEED ANSWER ASAP! CORRECT ANSWER GETS BRAINLIEST!
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?
1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hour
3 ⋅ 12 hours
Answer:
4 hours
Step-by-step explanation:
1/12 time what equals 1? 12 so do it to the other equation and simplify 12/3 to get 4.
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QUESTION GUIDES
3. An architect built a scale model of an office building using a scale in which
2.5 inches represents 20 feet. The height of the building is 240 feet.
12 in
What is the height of the scale model in inches?
30 in.
Ο Ο Ο Ο
80 in.
25 in.
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Answer:
30 inches
Step-by-step explanation:
240/20=12
12x2.5=30
Answer:
30 inches jrjdbdbrbejjr
n order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? --> It must be
Complete Question
In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->
It must be that the resulting P-value must be
A) Greater than 0.2
B) Between 0.19 and 0.10
C) Between 0.09 and .05
D) Between .049 and .02
E) Less than 0.02
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The mean of sample 1 is [tex]\= x_1 = 10[/tex]
The standard deviation is [tex]s_1 = 6[/tex]
The mean of sample two is [tex]\= x_2 = 16[/tex]
The standard deviation is [tex]s_2= 4[/tex]
The sample size for both samples is [tex]n_1 = n_2 = n = 6[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]
=> [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]
=> [tex]z = -1.3646[/tex]
From the z table the area under the normal curve to the left corresponding to -1.3646 is
[tex]P(Z < -1.3646) = 0.086189[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -1.3646)[/tex]
=> [tex]p-value = 0.086189 * 2[/tex]
=> [tex]p-value = 0.1724[/tex]
So the p-value is Between 0.19 and 0.10
1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.
a. less than $1.55?
b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?
Answer:
0.5
0.9545
0.68268
0.4986501
Step-by-step explanation:
The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.
a. less than $1.55?
b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?
Given that :
Mean (m) = 1.55
Standard deviation (s) = 0.20
a. less than $1.55?
P(x < 1.55)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.55 - 1.55) / 0.20 = 0
p(Z < 0) = 0.5 ( Z probability calculator)
b. between $1.15 and $1.95?
P(x < 1.15)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.15 - 1.55) / 0.20 = - 2
p(Z < - 2) = 0.02275 ( Z probability calculator)
P(x < 1.95)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.95 - 1.55) / 0.20 = 2
p(Z < - 2) = 0.97725 ( Z probability calculator)
0.97725 - 0.02275 = 0.9545
c. between $1.35 and $1.75?
P(x < 1.35)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.35 - 1.55) / 0.20 = - 1
p(Z < - 2) = 0.15866 ( Z probability calculator)
P(x < 1.75)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.75 - 1.55) / 0.20 = 1
p(Z < - 2) = 0.84134 ( Z probability calculator)
0.84134 - 0.15866 = 0.68268
d. between $0.95 and $1.55?
P(x < 0.95)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (0.95 - 1.55) / 0.20 = - 3
p(Z < - 3) = 0.0013499 ( Z probability calculator)
P(x < 1.55)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.55 - 1.55) / 0.20 = 0
p(Z < 0) = 0.5 ( Z probability calculator)
0.5 - 0.0013499 = 0.4986501
WILL MARK BRANLIEST TO THE CORRECT ANSWER!
You decide to invest $250 in an account that yields a return of approximately 4% each year. What is the value of you investment after 15 years if you make no further deposits or withdrawals?
Answer:
$450.24
Step-by-step explanation:
According to my quiz...
Aaliyah had some candy to give to her four children she first took 10 pieces of herself and then evenly divided the raise among her children each to receive two pieces with how many pieces did she start
Answer:
she started with 18
Step-by-step explanation:
2(4)+ 10= 18
ABCE is a parallelogram . determine the meaSure of
Answer:
D. 78°
Step-by-step explanation:
ABCD is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
Therefore,
[tex]3x = x + 52 \\ \\ 3x - x = 52 \\ \\ 2x = 52 \\ \\ x = \frac{52}{2} \\ \\ x = 26 \\ \\ m\angle B = (3x) \degree \\ \\ m\angle B = (3 \times 26) \degree \\ \\ m\angle B = 78\degree[/tex]
Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened in the bank
Answer:
Step-by-step explanation:
False,true,true
Alyssa is learning to drive her parents' car.
She increases her speed for 20 seconds.
She slows down for 10 seconds.
She stays approximately the same speed for the next 20 seconds.
She then slows down to a stop for the last 5 seconds.
Select the graph that best represents Alyssa's speed over time.
Answer:
D
Step-by-step explanation:
I just did this test and D was the right answer.
The graph that best represents Alyssa's speed over time can be determined by using the given data. The correct option is C).
Given :
Alyssa is learning to drive her parents' car.
The following steps can be in order to determine the graph that best represents Alyssa's speed over time:
Step 1 - The graph must be plotted between speed vs time.
Step 2 - According to the given data, Alyssa increases her speed for 20 seconds, which means the graph is increasing gradually up to the next 20 seconds.
Step 3 - Now, she slows down for 10 seconds that is, the graph decreases up to the next 10 seconds.
Step 4 - Now, she stays at approximately the same speed for the next 20 seconds that means the graph is constant for up to the next 20 seconds.
Step 5 - Now, she then slows down to a stop for the last 5 seconds that means the graph again decreases for the next 5 seconds.
From the above steps, it can be concluded that option C) is correct.
For more information, refer to the link given below:
https://brainly.com/question/14375099
PLEASE HELP I GIVE BRAINLIEST
Answer:
y = 11
Step-by-step explanation:
Perimeter = 6 + 5y + y + 2 + 4y + 3
= 10y + 11
10y + 11 = 121
10y = 121 - 11
= 110
y = 110 ÷ 10
y = 11
Solve for x = X-16/x+6= 3/5
Answer:
-16/29
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test
Suppose an ice cream cone is 10 cm deep with a diameter of 4cm. How much ice cream can fit into the cone without it overflowing?
Answer:
6 inches tall and has a diameter of 2 inchces
Step-by-step explanation:
what is the final position of (-7) + (-2) on a number line ?
Answer:
answer is A, source: a calculator
Step-by-step explanation:
if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION
Answer:
Step-by-step explanation:
It’s 9 because you make 7 and 2 a positive number
Why are these triangles similar?
Answer:
sas
Step-by-step explanation:
A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?
Answer:
3 ft.
Step-by-step explanation:
15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4
Given the quadratic equation: 1/2x^2+3x−10=0
Answer:
x=2.3851648071345037,−8.385164807134505
Step-by-step explanation:
(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!
Answer:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Step-by-step explanation:
1)
Given the expression
[tex]10!\times \:20![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]
[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
Now, multiplying the result
[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
so
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
Thus, we conclude that:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
2)
Given the expression
[tex]17!\:\times \:9![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]
[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
Now, multiplying the result
[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
so
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Thus, we conclude that:
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
please help
An auditorium sold 500 tickets for a play and raised $3400. Let x represent the number of adult tickets sold at $8 each and let y represent the number of student tickets sold at $5 each. Write and solve a system of equations to determine the number of adult tickets and the number of student tickets that were sold.
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
Answer:
7040 Yards
Step-by-step explanation:
First, you have to divide 5280 by 3, to get 1760 yards
Then you have to multiply 1760 by 4
Finally, you should get the answer of 7040 yards :D
Answer:
The other person who answered it already explained it but the answer is 7,040
Step-by-step explanation:
If Zuri continues to travel at 0.2 miles per minute. how far will she travel in one hour?
Answer:
1.2 miles yr welcome
What is the space between two rays with the same endpoint?
angle
ray
O endpoint
O length
Answer:
Angle
Step-by-step explanation:
Ray is also known as the line. Endpoint is where the ray stops. Length is how long the ray is. Angle is the space inbetween the two lines!
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 0 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet
Answer:
I think the answers are...
B. 6 feet by 5 feet by 4 feet
C. 7 feet by 6 feet by 4 feet
D. 8 feet by 3 feet by 7 feet
(I'm so sorry if it's wrong)
Hope this Helps!
Answer:
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
7 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet
Step-by-step explanation:
Harry's amount of money is 75% of Kayla's amount of money
Answer:
Add vaslues
Step-by-step explanation:
How much money does kayla have?
a(x+b)=c+d
Solve for x. Step by step.
Answer:
x= (c+d-ab)/a
Step-by-step explanation:
ax+ab=c+d
ax=c+d-ab
x= (c+d-ab)/a
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, 1/9, 1/27
Answer:
not sure if this is correct but is it 3??
Step-by-step explanation:
Count by 5’s starting with 99
104, 109, 114, 119, 124, 129, 134, 139, 144, 149
hehe
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18. Find the missing length indicated.
Find HJ
x+27
X+ 17
Answer:
The answer ia -30. Hope i help
Answer:
The answer is 30 hope it helps