Answers
Answer:
90 miles
$81
Step-by-step explanation:
Let m = number of miles driven.
Plan A:
cost = 0.40m + 45
Plan B:
cost = 0.90m
0.90m = 0.40m + 45
0.5m = 45
m = 90
The plans cost the same for 90 miles.
cost = 0.9m = 0.9(90) = 81
The cost is $81.
Related Questions
On Friday, Tyler came up with the expression t= -0.5(1-2h) to represent the temperature change. His math teacher came up with the expression t= 4(2h+2) - 7h - 8.5 for the same day. Are these expressions equivalent or not?
Answers
Answer:
no
Step-by-step explanation:
??????????????????????????
Answers
Answer:
Top left and bottom one
Step-by-step explanation:
What is the length of side s of the square shown below? 8 90"
A. 2
B. 4
C. √8
D. 4√2
E. 1
F. 8√2
Answers
maria bought a swimming pool with a circumference of 24 feet. she wants to buy a cover for her pool. what is the approximate size of the cover that maria will need to buy? round your answer to the nearest hundredth.
Answers
The approximate size of the cover that Maria will need to buy is 45. 84 square feet
How to determine the valueThe formula for calculating the circumference of a circle is expressed as;
Circumference = πr²
Where 'r' is the radius of the circle
Now, let's substitute the value of the circumference
24 = 2 × 3. 14 × r
r = 24/6. 28
r = 3. 82 feet
Formula for area = πr²
Substitute value of r
Area = 3. 14 × (3. 82)²
Area = 3. 14 × 14. 59
Area = 45. 84 square feet
Hence, the value is 45. 84 square feet
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(2-5√8)(4-6√3)
I need help
Answers
Answer:
see explanation
Step-by-step explanation:
Using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
Given
(2 - 5\(\sqrt{8}\) )(4 - 6\(\sqrt{3}\) )
Each term in the second factor is multiplied by each term in the first factor, that is
2(4 - 6\(\sqrt{3}\) ) - 5\(\sqrt{8}\)(4 - 6\(\sqrt{3}\) ) ← distribute both parenthesis
= 8 - 12\(\sqrt{3}\) - 20\(\sqrt{8}\) + 30\(\sqrt{24}\) → *
Simplify \(\sqrt{8}\) and \(\sqrt{24}\)
\(\sqrt{8}\) = \(\sqrt{4(2)}\) = \(\sqrt{4}\) × \(\sqrt{2}\) = 2\(\sqrt{2}\)
\(\sqrt{24}\) = \(\sqrt{4(6)}\) = \(\sqrt{4}\) × \(\sqrt{6}\) = 2\(\sqrt{6}\)
Back to *
= 8 - 12\(\sqrt{3}\) - 20(2\(\sqrt{2}\) ) + 30(2\(\sqrt{6}\) )
= 8 - 12\(\sqrt{3}\) - 40\(\sqrt{2}\) + 60\(\sqrt{6}\)
For any normally distributed random variable with mean μ and standard deviation σ, the proportion of the observations that fall outside the interval [μ - σ, μ + σ] is the closest to _________.a. 0.1687b. 0.8413c. 0.0466d. 0.3174
Answers
The proportion of observations that fall outside the interval [μ - σ, μ + σ] for a normally distributed random variable is closest to 0.3174 (option d).
In a standard normal distribution, approximately 68% of the observations fall within one standard deviation of the mean. This means that the proportion of observations outside this range is approximately 1 - 0.68 = 0.32.
For any normally distributed random variable with mean μ and standard deviation σ, we can standardize it to a standard normal distribution by subtracting the mean and dividing by the standard deviation. The interval [μ - σ, μ + σ] in the original distribution corresponds to the interval [-1, 1] in the standardized distribution.
In the standardized normal distribution, the proportion of observations outside the interval [-1, 1] is approximately 1 - 0.68 = 0.32. Since this holds true for any normally distributed random variable, the proportion of observations that fall outside the interval [μ - σ, μ + σ] is also approximately 0.32.
Therefore, the closest option to the proportion is 0.3174 (option d).
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A student wrote, “if 2 and 8 are factors of a number, then 16 is also a factor of that number.” Is the student correct? Explain your answer.
Answers
No. An example might be 8. 2 and 8 are its factors, but not 16.
The answer is:
No, the student is not correct.
Work/explanation:
If 2 and 8 are factors of a number, then 16 is also a factor of that number.
This statement is not always true. Just because a number is divisible by 2 and 8 doesn't mean it is divisible by 16 as well.
I will use 24 as an example.
24 is divisible by 2 and 8, but it is not divisible by 16.
x - 4y = 28
x+2y = -2
it’s substitution
Answers
Step-by-step explanation:
hope this will help you!!!.. plz follow me!!
Answer plzzzzzzzzzzzzzzz
Answers
Answer:
1 63636363 /1000000000
Step-by-step explanation:
Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.
the price of a gallon of milk follows a normal distribution with a mean of $3.4 and a standard deviation of $0.2. find the price for which only 35% of milk vendors lower than?
Answers
Answer: $3.32
Step-by-step explanation:
-0.3853 = (x - 3.4) / 0.2
Solving for x, we get:
X = 3.32
Therefore, the price for which only 35% of milk vendors is lower than $3.32.
you know there are 2 boys and an unknown number of girls in a nursery at a hospital. then a woman gives birth a baby, but you dont know its gender, and it is placed in the nursery. then a nurse comes in a picks up a baby and it is a boy. given that the nurse picks up a boy, what is the probability that the woman gave birth to a boy?
Answers
The probability that the woman gave birth to a boy, given that the nurse picked up a boy, is 1/3.
There are 2 boys initially and an unknown number of girls in the nursery, so there were a total of 2 + x babies in the nursery, where x is the number of girls.
Since we know that one of those babies is a boy, there are a total of 2 + x - 1 = 1 + x babies left in the nursery.
So the probability of the nurse picking up a boy, given that the woman gave birth to a boy, is 1/(1+x).
P(boy | picked up boy) = P(picked up boy | boy) * P(boy) / P(picked up boy)
= (1/(1+x)) * 1/2 / (1/(1+x) * 1/2 + x/(1+x) * 1/2)
= 1/3
So the probability that the woman gave birth to a boy, given that the nurse picked up a boy, is 1/3.
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if the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? find the value of the test statistic. (round your answer to two decimal places.)
Answers
The test statistic is z = 0.68, and the p-value is approximately 0.2486.
This problem involves testing the hypothesis that the proportion of union workers in the population has increased from 11.5%.
Let p be the true proportion of union workers in the population.
The null hypothesis is H0: p = 0.115, and the alternative hypothesis is Ha: p > 0.115 (one-tailed test, since we are testing for an increase in union membership).
To find the test statistic, we use the formula for a z-test for proportions:
z = (\(\bar p\) - p) / \(\sqrt{(p(1-p)/n) }\)
where, \(\bar p\) is the sample proportion, n is the sample size, and sqrt denotes the square root function.
In this case, \(\bar p\) = 36/300 = 0.12, n = 300, and p = 0.115.
Substituting these values into the formula, we get:
z = (0.12 - 0.115) / \(\sqrt{(0.115(1-0.115)/300) }\)≈ 0.68
To find the p-value, we need to find the probability of getting a test statistic as extreme or more extreme than 0.68, assuming that the null hypothesis is true (i.e., assuming that p = 0.115).
Since this is a one-tailed test, we need to find the area under the standard normal curve to the right of 0.68:
p-value = P(Z > 0.68) ≈ 0.2486
Using a standard normal distribution table or a calculator, we find that the area to the right of 0.68 is approximately 0.2486.
Therefore, the p-value for the test is approximately 0.2486.
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Question: You may need to use the appropriate appendix table or technology to answer this question. An agency reports that historically 11.5% of workers in a particular country belong to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. If the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = ?
-3x - (2y)^2
pls help
Answers
Answer:
\( - 3x - 4y ^{2} \)
Step-by-step explanation:
\( - 3 - 2 ^{2} y ^{2} \)
\( - 3x - 4y ^{2} \)
the average of 8 girls is 15 and the average of 6 girls is 13 find the average of the other two girls with equal age
Answers
Answer:
21
Step-by-step explanation:
Since the girls have the same age, let their age be x.
Then, their average is
\(\frac{x+x}{2} = \frac{2x}{2} = x\)
Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)
Also, we have,
\(\frac{S_{8}}{8} =15 - eq(2)\)
\(\frac{S_{6}}{6} =13 - eq(3)\)
Then eq(2):
(from eq(1) and eq(3))
\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)
The average of the other two girls with equal age is 21
What is the slope of the line that passes though the points:
(10,-2), (10,3)
Answers
Answer:
Undefined
Step-by-step explanation:
Geometry 6.2
What is m∠N
Answers
Check the picture below.
a researcher in a small midwestern town wants to estimate the mean weekday sleep time of its adult residents. he takes a random sample of 80 adult residents and records their weekday mean sleep time as 6.4 hours. assume that the population standard deviation is fairly stable at 1.8 hours
Answers
The 95% confidence interval for the population mean weekday sleep time of all adult residents in the Midwestern town is approximately 6.00 to 6.80 hours.
How to calculate the valueConfidence Interval = x ± Z * (σ/√n)
Substituting the given values into the formula, we get:
Confidence Interval = 6.4 ± 1.96 * (1.8/√80)
Calculating the standard error (σ/√n):
Standard Error = 1.8/√80 ≈ 0.2015
Substituting the standard error into the formula, we have:
Confidence Interval = 6.4 ± 1.96 * 0.2015
Confidence Interval = 6.4 ± 0.3951
Lower limit = 6.4 - 0.3951 ≈ 6.00
Upper limit = 6.4 + 0.3951 ≈ 6.80
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A researcher in a small Midwestern town wants to estimate the mean weekday sleep time of its adult residents. He takes a random sample of 80 adult residents and records their weekday mean sleep time as 6.4 hours. Assume that the population standard deviation is fairly stable at 1.8 hours. (You may find it useful to reference the table.)
Calculate the 95% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestern town. (Round final answers to 2 decimal places.)
The sampling error is usually _______ with_______ samples and ________ as the sample size ________.
Answers
The sampling error is usually smaller with larger samples and decreases as the sample size increases.
When we talk about sampling error, we refer to the discrepancy or difference between the sample statistic (e.g., mean, proportion) and the population parameter it is intended to estimate. The sampling error arises due to the inherent variability in the data and the fact that we are working with a sample rather than the entire population.
By increasing the sample size, we are capturing a more extensive representation of the population, reducing the impact of random variation. As a result, the estimate tends to be more accurate and closer to the true population parameter.
Therefore, larger samples tend to have smaller sampling errors.
It's important to note that although increasing the sample size generally reduces sampling error, there may be other factors to consider, such as the sampling design, representativeness of the sample, and the quality of data collection, which can also influence the accuracy of the estimate.
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A bag contains 10 red 10 blue 10 green and 10 yellow M&Ms an M&M is randomly pulled from the bag and replaced seven times
Answers
Answer:
Blue
Step-by-step explanation:
Given
\(Red = 10\)
\(Blue = 10\)
\(Green = 10\)
\(Yellow = 10\)
\(Total = 10 + 10 + 10 + 10 = 40\)
\(trials = 7\)
See attachment for complete question
From the attached figure;
The observed frequency of each is:
\(Red = 1\)
\(Blue = 2\)
\(Green = 0\)
\(Yellow = 4\)
Next is to calculate the probability of each of the colors.
\(P(Red) = \frac{Red}{Total} = \frac{10}{10 + 10 +10 +10} =\frac{10}{40} = \frac{1}{4}\)
\(P(Blue) = \frac{Blue}{Total} = \frac{10}{10 + 10 +10 +10} =\frac{10}{40} = \frac{1}{4}\)
\(P(Green) = \frac{Green}{Total} = \frac{10}{10 + 10 +10 +10} =\frac{10}{40} = \frac{1}{4}\)
\(P(Yellow) = \frac{Yellow}{Total} = \frac{10}{10 + 10 +10 +10} =\frac{10}{40} = \frac{1}{4}\)
The expected frequency of each is:
\(Expected = Probability * trials\)
So:
\(Red = \frac{1}{4} * 7 = 1.75\)
\(Blue = \frac{1}{4} * 7 = 1.75\)
\(Green= \frac{1}{4} * 7 = 1.75\)
\(Yellow= \frac{1}{4} * 7 = 1.75\)
By comparison the expected frequencies with the observed frequencies;
The closest is Blue.
Observed frequency Expected Absolute difference
\(Red = 1\) \(1.75\) \(|1-1.75| = 0.75\)
\(Blue = 2\) \(1.75\) \(|2-1.75| = 0.25\)
\(Green = 0\) \(1.75\) \(|0-1.75| = 1.75\)
\(Yellow = 4\) \(1.75\) \(|4-1.75| = 1225\)
This is so because; blue has the least absolute difference.
Answer:
blue
Step-by-step explanation:
to can be driven before it would need to be junked is an exponential random variable with parameter smith has a used car that he claims has been driven only 10,000 miles. if jones purchases the car, what is the
Answers
Answer:
2334
Step-by-step explanation:
A girl bought 100 oranges for 400.00. She sold them all in groups of 5. How much should she sell 5 oranges in order to make 50% profits?
Answers
Answer:
She should sell 5 oranges for 30.00 to make a 50% profit.
Step-by-step explanation:
The girl bought 100 oranges for 400.00, so the cost of each orange is:
Cost of each orange = Total cost / Number of oranges = 400.00 / 100 = 4.00
To make a 50% profit, she needs to sell the oranges at 150% of the cost:
Selling price of each orange = Cost of each orange x 150% = 4.00 x 1.5 = 6.00
Since she sells the oranges in groups of 5, the selling price of 5 oranges would be:
Selling price of 5 oranges = Selling price of each orange x Number of oranges in a group = 6.00 x 5 = 30.00
Therefore, she should sell 5 oranges for 30.00 to make a 50% profit.
We can do this by dividing the total cost of all 100 oranges by the number of oranges, which is 100.The cost price of one orange is 4 naira.To make a 50% profit, the selling price of the 5 oranges must be 1.5 times the cost price of one orange. So, the selling price of 5 oranges should be 6 naira.In summary, for a girl to make a 50% profit, she should sell 5 oranges for 6 naira.
A cone has a volume of 314 cubic meters and a height of 12 meters. What is its radius?
Answers
Answer:
About 5 meters
Step-by-step explanation:
v= πr² h/3
r= √3 v/πh= 3•314/ π•12= 4.99873 rounded which then rounds to 5
With equations in the form y=a|x-h| +k. Which of the following is NOT true about how a,h and k affect the graph
Answers
When doing transformations and shipments to absolute value functions is:
When adding or subtracting to the complete function moves up or down, in this case, k is the one that allows this shift
When adding or subtracting to the absolute value part of the function, the function moves left or right, in this case, h is the one that allows this shift.
The vertex for the general form of an absolute value function is (h,k)
The way to flip a function upside-sown is to multiply the absolute value portion by a negative coefficient "a".
Answer:
The expression that is not correct is:
The vertex for the function is (k,h)
Look carefully at the graph and find the slope.
Answers
Answer:
1/10
Step-by-step explananation:
As an estimation we are told 5 miles is 8 km.
Convert 84 km to miles.
Answers
Answer:
52.5 miles
Step-by-step explanation:
5 miles = 8 km
→ Find how many miles in 1 km
8 km = 5 miles
1 km = 0.625 miles
→ Multiply both sides by 84
84 km = 52.5 miles
i hope this work for you
and sory if im wrang
What is the answer to number 10?
Answers
Answer:
979.68
Rounded up, is 980
Step-by-step explanation:
Alina has been collecting video games for a year. The table below shows how many games games she has received over the year
Answers
Answer:
I don’t see the table so I can’t answer it....
Step-by-step explanation:
....................
Houston North Hospital is trying to improve its image by providing a positive experience for its patients and their relatives. Part of the "image" program involves providing tasty, inviting patient meals that are also healthful. A questionnaire accompanies each meal served, asking the patient, among otherthings, whether he or she is satisfied or unsatisfied with the meal. A 150-patient sample of the survey results over the past 7 days yielded the following data:
Day No. of Unsatisfied Patients
1 22
2 20
3 6
4 15
5 10
6 26
7 17
The control limits to include 99.73% of the random variation in meal satisfaction are:
UCL: ____
LCL: _____
Based on the developed control limits, the number of unsatisfied patients has been: In control or out of control?
Answers
Answer:
Step-by-step explanation:
not sure 2
can frequency distributions be made for both categorical and quantitative data?
Answers
Yes, frequency distributions can be made for both categorical and quantitative data.
A frequency distribution is a table that shows how often each value occurs in a data set. It is a way of summarizing data and can be used for both categorical and quantitative data.
Categorical data is data that can be divided into categories, such as gender or eye color. A frequency distribution for categorical data would show how many times each category appears in the data set.
Quantitative data is numerical data, such as height or weight. A frequency distribution for quantitative data would show how many times each numerical value appears in the data set.
In both cases, the frequency distribution helps to summarize and visualize the data in a clear and concise way.
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Ziplines Inc. enters into a contract to employ Scot as a manager for two years. If Ziplines breaches the contract, Scot has a duty to Group of answer choices find another job or receive no damages. rescind the contract with Ziplines. reduce the damages that Scot might otherwise suffer. act to punish Ziplines as an example to deter others from similar acts.
Answers
If Ziplines Inc. breaches the contract, Scot has a duty to Group of answer choices: find another job or receive no damages, rescind the contract with Ziplines, reduce the damages that Scot might otherwise suffer, and act to punish Ziplines as an example to deter others from similar acts.
Determine the Ziplines Inc. breaches?If Ziplines Inc. breaches the contract with Scot, Scot has the option to pursue different courses of action. The first option is to find another job or accept no damages, which means Scot can actively seek alternative employment without seeking compensation from Ziplines. This allows Scot to move on and secure a new position.
The second option is to rescind the contract with Ziplines. This means Scot can choose to terminate the contract altogether due to the breach, effectively nullifying the agreement between Scot and Ziplines.
The third option is to reduce the damages that Scot might otherwise suffer. In this case, Scot can take measures to minimize the negative impact caused by Ziplines' breach, such as mitigating financial losses or finding alternative sources of income.
The fourth option is to act to punish Ziplines as an example to deter others from similar acts. Scot can take legal action or pursue remedies to hold Ziplines accountable for the breach, aiming to discourage similar misconduct by setting an example for other companies.
Ultimately, Scot's course of action will depend on their individual circumstances, priorities, and the available legal remedies in the specific jurisdiction.
Therefore, In the event of a contract breach by Ziplines Inc., Scot is obligated to either seek alternative employment or forego damages, terminate the contract, minimize potential losses, or set an example by taking action against Ziplines.
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