Given that there are 2 inferior products out of 10 , and 2 pieces are taken without replacement ("without replacement" means that each piece is NOT put back before the next piece is taken). Find the probability of the following events: (a) (5 points) Both pieces are genuine. (b) (5 points) Both pieces are inferior. (c) (5 points) One is a genuine product and one is an inferior product. (d) (5 points) The second piece is an inferior item.
Answers
a. The probability that both pieces are genuine can be calculated by considering the number of ways to select 2 genuine pieces out of the remaining 8 genuine pieces, divided by the total number of ways to select 2 pieces out of the total 10 pieces.
The probability that both pieces are genuine is 28/45.
To calculate the probability, we first determine the number of ways to select 2 genuine pieces out of the remaining 8 genuine pieces. This can be calculated using the combination formula:
Number of ways to select 2 genuine pieces = C(8, 2) = 8! / (2!(8-2)!) = 28
Next, we calculate the total number of ways to select 2 pieces out of the total 10 pieces:
Total number of ways to select 2 pieces = C(10, 2) = 10! / (2!(10-2)!) = 45
Finally, we divide the number of ways to select 2 genuine pieces by the total number of ways to select 2 pieces to obtain the probability:
Probability = (Number of ways to select 2 genuine pieces) / (Total number of ways to select 2 pieces) = 28/45.
Therefore, the probability that both pieces are genuine is 28/45.
b. The probability that both pieces are inferior can be calculated similarly to part (a), considering the number of ways to select 2 inferior pieces out of the remaining 2 inferior pieces, divided by the total number of ways to select 2 pieces out of the total 10 pieces.
The probability that both pieces are inferior is 1/45.
To calculate the probability, we determine the number of ways to select 2 inferior pieces out of the remaining 2 inferior pieces:
Number of ways to select 2 inferior pieces = C(2, 2) = 2! / (2!(2-2)!) = 1
Next, we calculate the total number of ways to select 2 pieces out of the total 10 pieces:
Total number of ways to select 2 pieces = C(10, 2) = 10! / (2!(10-2)!) = 45
Finally, we divide the number of ways to select 2 inferior pieces by the total number of ways to select 2 pieces to obtain the probability:
Probability = (Number of ways to select 2 inferior pieces) / (Total number of ways to select 2 pieces) = 1/45.
Therefore, the probability that both pieces are inferior is 1/45.
c. The probability that one piece is a genuine product and one piece is an inferior product can be calculated by considering the number of ways to select 1 genuine piece out of the 8 genuine pieces and 1 inferior piece out of the 2 inferior pieces, divided by the total number of ways to select 2 pieces out of the total 10 pieces.
The probability that one piece is genuine and one piece is inferior is 16/45.
To calculate the probability, we determine the number of ways to select 1 genuine piece out of the 8 genuine pieces and 1 inferior piece out of the 2 inferior pieces:
Number of ways to select 1 genuine piece and 1 inferior piece = C(8, 1) * C(2, 1) = (8! / (1!(8-1)!)) * (2! / (1!(2-1)!)) = 8 * 2 = 16
Next, we calculate the total number of ways to select 2 pieces out of the total 10 pieces:
Total number of ways to select 2 pieces = C(10, 2) = 10! / (2!(10-2)!) = 45
Finally, we divide the number of ways to select 1 genuine piece and 1 inferior piece by the total number of ways to select 2 pieces to obtain the probability:
Probability = (Number of ways to select 1 genuine piece and 1 inferior piece) / (Total number of ways to select 2 pieces) = 16/45.
Therefore, the probability that one piece is genuine and one piece is inferior is 16/45.
d. The probability that the second piece is an inferior item can be calculated by considering the number of ways to select 1 inferior piece out of the 2 inferior pieces, divided by the total number of ways to select 2 pieces out of the total 10 pieces.
The probability that the second piece is an inferior item is 1/9.
To calculate the probability, we determine the number of ways to select 1 inferior piece out of the 2 inferior pieces:
Number of ways to select 1 inferior piece = C(2, 1) = 2! / (1!(2-1)!) = 2
Next, we calculate the total number of ways to select 2 pieces out of the total 10 pieces:
Total number of ways to select 2 pieces = C(10, 2) = 10! / (2!(10-2)!) = 45
Finally, we divide the number of ways to select 1 inferior piece by the total number of ways to select 2 pieces to obtain the probability:
Probability = (Number of ways to select 1 inferior piece) / (Total number of ways to select 2 pieces) = 2/45.
However, this probability represents the probability of the second piece being inferior when both pieces are selected without replacement. If the question is asking for the probability of the second piece being inferior without considering the first piece, then we can assume that the first piece selected is irrelevant. In that case, the probability would be the same as the probability of selecting an inferior piece from the total 10 pieces, which would be 2/10 = 1/5.
Therefore, the probability that the second piece is an inferior item is 1/9 (assuming the first piece is already selected) or 1/5 (without considering the first piece).
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Related Questions
Sally found the deal of the century when buying a TV. • The store advertised the TV for 1/3 off. • At the register she handed the cashier a coupon for an additional 1/4 off. If the TV originally cost $320 how much did she pay for it?
Answers
Answer:
$160
Step-by-step explanation:
These discounts would be added one after the other. Therefore, we would first apply the first discount of 1/3 to the original price. Since it is a discount it means that from the original price we would pay 2/3. We do this by multiplying this fraction by the original price like so...
$320 * (2/3) = $213.33
Now we add the second discount of 1/4. Again, since it is a discount it means that we would be paying 3/4 of the current price.
$213.33 * 3/4 = $160
Finally, we can see that Sally would have ended up paying $160 for the TV.
Find the product.
n(n+3)
Answers
n(n+3)
Answer : n^2+3n
Nathan dove −4 feet into a pool. Jenny dove deeper into the same pool. Which could represent the depth that Jenny dove?
A −5 feet
B −3 feet
C 2 feet
D 6 feet
Answers
This is because when you are diving into a pool the lower the number the deeper into the pool you are going
Since Jenny dove deeper, the only number lower than -4 is -5
Below is a stem and leaf plot of the magnitude of earthquakes in the Philippines Islands region on Sept. 4th. This data was recorded by the USGS. Find the mediana. 53 b. 5.3 c. 0.53d. 53.5 e. 5.5 f. 5.2 g. 5.35
Answers
The median of the data set is 5.35.
To find the median, we need to first arrange the data set in order from smallest to largest. In this case, the data set is:
0.53, 5.2, 5.3, 5.35, 5.5, 53.
The median is the middle value of the data set. In this case, there are 6 values, so the median is the average of the 3rd and 4th values. In this case, 5.35 is the average of 5.3 and 5.35, so 5.35 is the median.
Therefore, the answer is 5.35 (Option d).
Median is a measure of central tendency and is used to describe a set of numerical values. It is the middle value when the values are arranged in ascending or descending order. It is the midpoint of a distribution and is often used as a measure of central tendency when the data is skewed or has outliers. The median is less affected by extreme values than the mean, making it a more accurate measure of the central location of the data.
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given f(x)=-x^2-7x find f(-1)
Answers
Answer:
f(-1) = 6
Step-by-step explanation:
Hello!
To find f(-1), you can substitute -1 for x in the equation and simplify.
Substitute:f(x) = -x² - 7xf(-1) = -(-1)^2 - 7(-1)f(-1) = -1 + 7f(-1) = 6The value of f(-1) is 6.
if 21 of the people in the picture group and 13 of the people in the actual candy group failed to detect the switch, would you conclude that there is convincing evidence that the proportion who experience choice blindness is different for the two treatments (choice based on a picture and choice based on seeing the actual candy)? test the relevant hypotheses using a 0.01 significance level. (let p1 be the proportion who experience choice blindness based on a picture treatment, and p2 be the proportion who experience choice blindness based on seeing the actual candy treatment.)
Answers
The calculated z-value of 2.45 is less than the critical value of 2.58, we fail to reject the null hypothesis.
To test whether there is convincing evidence that the proportion of people who experience choice blindness is different for the picture group and actual candy group, we need to conduct a hypothesis test.
Let p1 be the proportion who experiences choice blindness based on a picture treatment, and p2 be the proportion who experiences choice blindness based on seeing the actual candy treatment.
Our null hypothesis is that there is no difference between the two proportions:
H0: p1 = p2
Our alternative hypothesis is that there is a difference between the two proportions:
Ha: p1 ≠ p2
We will use a two-sample z-test to test this hypothesis. The test statistic is:
z = (p1 - p2) / sqrt(p*(1-p)*(1/n1 + 1/n2))
where p = (x1 + x2) / (n1 + n2) is the pooled sample proportion, x1, and x2 are the number of people who experienced choice blindness in the picture and actual candy groups, respectively, and n1 and n2 are the sample sizes.
Using the given information, we can calculate the sample proportions as:
p1 = (21/50) = 0.42
p2 = (13/50) = 0.26
The pooled sample proportion is:
p = (21 + 13) / (50 + 50) = 0.34
The sample sizes are n1 = n2 = 50.
Substituting these values into the formula for the test statistic, we get:
z = (0.42 - 0.26) / sqrt(0.34*(1-0.34)*(1/50 + 1/50)) = 2.45
Using a standard normal distribution table, we can find the critical values for a two-tailed test with a significance level of 0.01:
\(z_crit = ±2.58\)
Since our calculated z-value of 2.45 is less than the critical value of 2.58, we fail to reject the null hypothesis. Therefore, we do not have convincing evidence to conclude that the proportion of people who experience choice blindness is different for the picture group and actual candy group at a significance level of 0.01.
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(100 points) Give a step by step explanation on how you solved this problem
y = 3x + 3
y = x − 1
Answers
Given both y values, you know that they have to be equal
3x + 3 = x - 1
2x + 3 = -1
2x = -4, divide by 2
x = -2
Now plug x value into any of the equation to find y value
y = 3(-2) + 3
y = -6 + 3, y = -3
Solution: x = -2, y = -3
Answer:
Step-by-step explanation:
Well you have to solve for X to find Y simplified.
Since both equations equal Y you can plug them together
3x+3=x-1
-x -x
2x+3=-1
-3 -3
2x=-4
Divide -4 by 2 and you get X = -2 then plug X into both equations and boom
y= -3
\(\sqrt{2x-3 +5=7\\\)
Answers
Answer:
\(x=47/2\)
Step-by-step explanation:
Given:
\(\sqrt{2x-3+5}=7\)
Solution:
\(\sqrt{2x-3+5}=7\)
\(\sqrt{2x+2}=7\)
\(2x+2=7^2\)
\(2x+2=49\)
\(2x=49-2\)
\(2x=47\)
\(x=47/2\)
∴ The value of x is 47/2
Answer: \(x=\frac{47}{2}\quad \left(\mathrm{Decimal}:\quad x=23.5\right)\)
Step-by-step explanation:
\(\sqrt{2x-3+5}=7\)
\(2x+2=49\)
\(x=\frac{47}{2}\)
In the diagram above, mZABC = (3x-1), mZCBD = (2x)°, and mZDBE = (4x + 1)º. Find mZABC, mZCBD, and
mZDBE. Assume that ZABE is a straight angle.
A. ZABC = 290, mZCBD = 20°, and mZDBE = 1319
B. ZABC = 59°, mZCBD = 20°, and mZDBE = 101°
C. m ABC = 59, mZCBD = 40°, and MZDBE = 81°
Dm ABC = 61º, mZCBD = 390, and mDBE = 80°
Answers
Step-by-step explanation:
3x -1 +2x + 4 x +1 = 180
9x = 180
X= 20
<ABC = 59
< CB D = 40
< DBE = 81
Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?.
Answers
The range of the relation will be expressed as 0 ≤ g(x) ≤ 120
Let the number of lessons he gives be xIf he earns $20 for each piano lesson, the amount he will earn on x lessons will be $20xWriting this as a function will give:
g(x) = 20xwhere g(x) is the range of the relation.
If he has between 0 and 6 lessons each evening, the corresponding range at x = 0 and x = 6 is given as;
g(0) = 20(0) = 0g(6) = 20(6) = 120Therefore the range of the relation will be expressed as 0 ≤ g(x) ≤ 120
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Answer: {0, 20, 40, 60, 80, 100, 120}
Step-by-step explanation: Remember we only use inequality signs for continuous relations with an infinite amount of values or data points or values or points. When we're given a set finite amount of data points we use brackets for this data because it is a discrete relation.
And for this problem we're looking for the range of the relation and recall the range is the dependent values or variables that depend on the domain or independent variables. The amount of money he earns depends on the amount of hours he works. Hence, the range is {0, 20, 40, 60, 80, 100, 120} the amount of possible money he can earn.
Bharat has two identical ink pens with full ink .he used up 3/4 of the ink from one pen and 2/3 of the ink from the second pen . fraction of the ink left in first pen
Answers
The fraction of ink left in the first pen is 1/4.
In the given question;
Bharat has two identical ink pens ( which are similar ) and they are full of ink.
From both pens, he used some amount of ink.
In the first ink pen, he used 3/4 of the ink and in the second ink pen, he used 2/3 of the ink.
To find the Fraction of ink left in the first pen, we need to get the following factors;
From pen 1;
3/4 ink was used so the remaining ink will be 1/4 ( where 75% ink is used and 25% ink is left )
From pen 2;
2/3 ink was used so the remaining ink will be 1/3 ( where 66.67% ink is used and 33.33% ink is left )
The total amount of ink remaining in both pens is = 1/4 + 1/3 = 7/12
Therefore, a fraction of ink left in the first pen is 1/4.
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a.by calculating differences, show that these data can be modeled using a linear function.b.what is the slope for the linear function model-ing high school graduations? explain in practical terms the meaning of the slope.c.find a formula for a linear function that models these data.d.express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
Answers
We can show that these data can be modeled using a linear function in the following manner:
a) We must compute the differences in the number of high school graduates in each year in order to model the data using a linear function. For instance, the difference between the 1993 and 1994 graduation rates is 5,479 - 5,410, or 69. This pattern of differences suggests that a linear function can be used to model the data.
The annual change in the number of graduates serves as the slope for the linear function. The slope, for instance, is 69 between 1993 and 1994 and 76 between 1994 and 1995. The slope for the linear function is, in general, the difference between the number of graduates in successive years, therefore it is the slope between graduates in consecutive years.
b) Y = mx + b, where y is the number of graduates, x is the year, m is the slope, and b is the y-intercept, is the formula for a linear function that represents the data. We need to know the values of m and b in order to calculate the formula for the linear function that describes the data.
We can use the slope between any two consecutive years to get the value of m. For instance, m = 69 since the slope from 1993 to 1994 is 69. The number of graduates in the first year of the data, which is the y-intercept, can be used to determine the value of b.
For instance, if the first year of the data is 1993 and that year had 5,479 graduates, then b = 5,479. Consequently, y = 69x + 5,479 is the equation for the linear function that models the data.
c) Functional notation can be used to indicate the number of high school graduates in 1994. The formula is y = 69x + 5,479, where x is the year and y is the total number of graduates. Therefore, y = 69(1994) + 5,479 = 137,123 is the total number of graduates in 1994. We may enter the numbers of x and b into the formula from section c to obtain y = 69 (1994) + 5,479 = 137,123.
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Given rhombus ABCD,AD = 4x-2, AB = 3x+1, find the perimeter
Answers
a rhombus has all its sides equal, therefore
AD=AB
solve the equality
\(\begin{gathered} 4x-2=3x+1 \\ 4x-3x=1+2 \\ x=3 \end{gathered}\)the value of x is 3, to find the measure of a side I will replace x=3 on any equation
\(4(3)-2=10\)the measure of a side is 10
the perimeter is the sum of alla sides, 4 on this case, so
\(10+10+10+10=40\)the perimeter is 40 units
Solve the equation.
-7(x-2)-28 - 14
(Simplify your answer.)
Answers
Answer:
\(-7x-28\)
Step-by-step explanation
\(-7(x-2)-28-14\)
To solve this, we must first solve what is inside the parenthesis by the distributive property. We will multiply -7 by x and -2.
\(-7(x)=-7x\\-7(-2)=14\)
So then we have:
\(-7x+14-28-14\)
From here, we combine like terms.
7x does not have any like terms, so we just combine 14, -28, and -14.
\(14+(-28)+(-14)\\=-28\)
So, the final answer would be:
\(-7x-28\)
If you have any questions, please feel free to ask!
If two lines represent the same line, then what is the nature of its solution?
Answers
Step-by-step explanation:
If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .
Answer:
Infinite
Step-by-step explanation:
Solution between 2 lines is considered the point of their intersection. Now, since two lines are same (not only parallel but same), it tends to have infinite solutions.
Installing custom glass windows costs $400 for the install and $30 per square foot of
glass needed for your windows. The total charge for your window installation was
$4900. Translate this information into an equation using a to represent the number of
square feet of glass used for your windows.
Using your equation, determine the number of square feet of glass used for your
windows.
Please help ASAP really bad at math and can’t afford a tutor.
Answers
Part 1
[tex)400+30x=4900\)
Part 2
\(30x=4500 \\ \\ x=150\)
So, the answer is 150 ft².
Find the measure of angle b.
Which is the Answers?
A.70
B.34
C.110
D.20
Can you help me, I would appreciate it very much:)
Answers
Answer:
110
Step-by-step explanation:
Angles 110 and b are alternate interior angles,
Alternate interior angles are equal.
So,
b = 110
(3)/(x^(2)-2x-8)-(4)/(x^(2)-16) Simplify. Assume that all variables result in nonzero denominators.
Answers
The simplified expression is (-1)/((x+2)(x+4)).
To simplify the expression (3)/(x^(2)-2x-8)-(4)/(x^(2)-16), we need to find a common denominator and combine the numerators.
Factor the denominators to find a common denominator.
(x^(2)-2x-8) = (x-4)(x+2)
(x^(2)-16) = (x-4)(x+4)
The common denominator is (x-4)(x+2)(x+4).
Multiply the numerators and denominators by the appropriate factors to get the common denominator.
(3)/(x^(2)-2x-8) = (3)(x+4)/((x-4)(x+2)(x+4))
(4)/(x^(2)-16) = (4)(x+2)/((x-4)(x+2)(x+4))
Combine the numerators and keep the common denominator.
(3)(x+4)/((x-4)(x+2)(x+4)) - (4)(x+2)/((x-4)(x+2)(x+4)) = (3x+12-4x-8)/((x-4)(x+2)(x+4))
Simplify the numerator and denominator.
(-x+4)/((x-4)(x+2)(x+4)) = (-1)(x-4)/((x-4)(x+2)(x+4))
Cancel out the common factors in the numerator and denominator.
(-1)/((x+2)(x+4))
Therefore, the simplified expression is (-1)/((x+2)(x+4)).
Note: We assumed that all variables result in nonzero denominators, so we do not need to worry about any restrictions on the values of x.
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A metal bat is dropped from a hot air balloon and strikes the ground 6 seconds later. How high was the hot air balloon?
Answers
The balloon was flying at a height of 176.58 m .
The fundamentals of an object's motion, such as its position, velocity, or acceleration over time, are defined by kinematics equations of motion. An object's motion in one, two, and three dimensions is determined by these three equations of motion. One of three equations of motion can be used to calculate components like displacement (s), velocity (initial and final), time (t), and acceleration (a). The following are the three motion equations:
Initial formula: v = u + at
The second formula is s = ut + 0.5at2.
The third formula is v2 = u2 + 2as.
Let t stand for the duration of the metal bat's flight, s for the height at which the hot air balloon was traveling, and u for the metal bat's initial vertical velocity since it is simply dropped.
Given: The metal bat took 6 seconds to reach the ground.
With t = 12 and u = 0, the second equation of motion gives us s = 0*t + 0.5*9.81*162 = 176.58 m.
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what’s the answer to (7−4n)⋅6
Answers
I think and I hope this helps
pls pls help due in an hour if you get it right you'll get marked brainliest
Answers
Answer:
the first option
Step-by-step explanation:
the table does not have a constant rate of change so it is not linear.
Members of a softball team raised $2089.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament would be = 24 players
What is softball game?The softball game is the type of game that involves two teams which is made up of 9. - 10 players.
The total amount of money raised by a softball team=
$2089.50
The amount of money spent on rented bus = $1087.50
The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002
The amount budgeted for meals for each player= $41.75
The number of players that would be brought for tournament= 1,002/41.75
= 24 players.
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need help quick
evaluate the expression
4x−5 for x=10
Answers
Answer:
35
Step-by-step explanation:
hi aaihe to JB by see bsuhs hi I'm s
f the following, which is the smallest sample size that will result in a margin of error of no more than 5 percentage points? responses 73 73 97 97 271 271 385 385 1,537 1,537 skip to navigation
Answers
The smallest sample size that will result in a margin of error of no more than 5% for a 95% confidence interval is given as follows:
385.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is modeled as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
We have no estimate, hence we consider that:
\(\pi = 0.5\)
The minimum sample size is obtained as n when M = 0.05, hence:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.05\sqrt{n} = 1.96 \times 0.5\)
\(\sqrt{n} = 1.96 \times 10\) (0.5/0.05 = 10).
\((\sqrt{n})^2 = (1.96 \times 10)^2\)
n = 384.16
Hence rounded to 385, as a sample size of 384 would have a margin of error slightly above 0.05.
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t-models, part II Using the t tables, software, or a calculator, estimate
a) the critical value of t for a 95% confidence interval with df = 7.
b) the critical value of t for a 99% confidence interval with df = 102.
Answers
The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62
In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.
a)
On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.
b)
The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.
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Find the perimeter and area of the polygon
Answers
Answer:
p= 76
A=338
Step-by-step explanation:
Perimeter: 15+18+18+8+17=76
Area:
15x18=270+(8x17/2)
270+68=338
Your current wage is $1,500 plus 3% commission per month. During your 6-month employee review, your boss suggests to change your base rate to $1,200 but is offering you a larger commission percentage. What commission rate would he need to offer to make up for the reduced base rate? Your past 6 month sales numbers are: $10,000, $12,450, $8,756, $10,354, $10,938, and $11,452.
Answers
The new commission percentage is 3.75%
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Current wage is $1,500,
Commission on this wage is 3%.
Now if we change the base rate to $1,200 ,
the commission will increase to make up the reduced base rate.
Let the new commission is x,
Now, to find the commission x, use identity,
1,500×3=1,200×x
x=15/4
x=3.75%
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Select the equation of the line that passes through the point (-2,3) and is perpendicular to the line on the graph.
O y = -2
O y = 0
O y = 3
O y = 3x
Answers
4x+13 5x+95 what are the X
Answers
Answer:
-82
Step-by-step explanation:
Solve each problem below. Show your steps. The Yellow Cab Company charges just $0.25 a mile, but it costs $5 to get in the cab. Express Cab charges no fee to get in the cab, but $1.50 a mile for the ride. Write the equations for both companies. Let y = total cost of ride and x = miles. (14) Yellow Cab Company: (15)Express Cab: (16) If you are going 7 miles, which cab company should you call? (17) If you are going 3 miles, which company should you call?(18)for what length of drive is the cost equal ?
Answers
15. $1.5x=y
16. Yellow cab, 5+.25(7)=6.75
17. Express cab, 1.5(3)=4.50