Answer:
-4
Step-by-step explanation:
Start with 3(2x + 8) = 0.
Distribute the 3 to the 2x and 8 in the parentheses.
That will give you 6x + 24 = 0.
Subtract 24 from both sides, which will get x by itself and leave you with 6x = -24.
Divide both sides by 6 to get x = -4.
That is your answer.
Hope this helped.
For a ride on a rental scooter, Hong paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Hong's ride was $13.34. For how many minutes did Hong ride the scooter? minutes X
If the total bill of Hong's ride was $13.34, then Hong rode the scooter for 94 minutes.
Let's denote the number of minutes Hong rode the scooter as X.
According to the given information, Hong paid a $3 fee to start the scooter plus 11 cents per minute of the ride. So the total cost of the ride can be expressed as:
Total Cost = $3 + $0.11 * X
The problem states that the total bill for Hong's ride was $13.34. Therefore, we can set up the equation:
$13.34 = $3 + $0.11 * X
To solve for X, we can isolate the variable:
$0.11 * X = $13.34 - $3
$0.11 * X = $10.34
Dividing both sides of the equation by $0.11:
X = $10.34 / $0.11
X = 94
Therefore, Hong rode the scooter for approximately 94 minutes.
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Rearrange the formula and solve for r.
Answer:
Step-by-step explanation:
The formula of Volume of the Cone, V = 1/3πr^2h
Now, r^2 = 3v/πh
r = √(3v/ πh)
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic? Need help!!
Answer:
$0.25
Step-by-step explanation:
Let's represent the comics by assigning it the letter C.
20C = $5.00
C = $5.00/20
= $0.25
We can confirm this by using the example where he uses 30 comics.
30C = $7.50
C = $7.50/30
= $0.25.
Therefore each comic costs $0.25
For box plot data where Q1 = 200, Q2 = 250, and Q3 = 290, the
IQR
The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.
Given that,
For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290
We have to find the data of IQR.
We know that,
IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.
IQR Formula is Q₃ - Q₁
So,
Q₃ = 290
Q₁ = 200
Then ,
IQR = Q₃ - Q₁
IQR = 290 - 200
IQR = 90
Therefore, The value of IQR is 90.
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For the region R below, write ∬RfdA as an iterated integral in polar coordinates. With a= ___ , b=___, c=______ and d= ______. ∬RfdA=∫ab∫cdfdA, where dA= ____ d___ d____
The iterated integral in polar coordinates will be:
∬R fdA = ∫c^d ∫a^b f(r,θ) r dr dθ.
Since the problem does not provide a specific description or image of the region R, I am unable to determine the values of a, b, c, and d. However, I can explain the general process of setting up an iterated integral in polar coordinates.
In polar coordinates, the differential area element is given by dA = r dr dθ, where r represents the radial distance and θ represents the angle.
To write the double integral in polar coordinates, you need to determine the limits of integration for r and θ.
The integral limits for r will depend on the boundaries of the region R in the radial direction. These limits can be expressed as a ≤ r ≤ b.
The integral limits for θ will depend on the boundaries of the region R in the angular direction. These limits can be expressed as c ≤ θ ≤ d.
Please provide a more specific description or image of the region R in order to determine the values of a, b, c, and d, as well as the differential element dA.
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For the region R below, write ∬RfdA as an iterated integral in polar coordinates. With a= ___ , b=___, c=______ and d= ______. ∬RfdA=∫ab∫cdfdA, where dA= ____ d___ d____
how many seconds are in september show your work
How many seconds are there in September.
Solution:September has 30 days in it.
1 minute = 60 seconds
1 hour = 60 minutes = 3,600 seconds
1 day = 24 hours = 24 × 3,600 = 86,400 seconds
30 days = 24 × 30 = 30 × 86,400 = 2,592,000 seconds
Answer:There are 2,592,000 seconds in September.
what is 1000000+25437
Answer:
1025437
Step-by-step explanation:
1000000+25437=1025437
Answer:
1025437
Step-by-step explanation:
hope it helps, please mark as brainliest
Joseph conducts a survey on which ice cream flavor the students at his school like best. his school has grades kindergarten to fifth grade. he surveys 30 of the 300 students for his sample. which group of 30 students would be the best sample survey?
The best sample of 30 students for Joseph's survey would be a random selection of students from all grades, ensuring each grade is fairly represented.
In order to get the most accurate results for the ice cream flavor preferences at his school, Joseph should aim to have a representative sample. This means selecting students from each grade proportionally, so the preferences of each grade are taken into account. Since there are 300 students and he needs to survey 30, he should choose 10% of the students from each grade (kindergarten to fifth grade).
1. Determine the total number of students in each grade.
2. Calculate 10% of the number of students in each grade (you can do this by multiplying the number of students in each grade by 0.1).
3. Round the numbers from step 2 to whole numbers, if necessary.
4. Randomly select the calculated number of students from each grade for the survey.
5. Make sure the total number of selected students is 30. If not, adjust the numbers slightly while still maintaining a fair representation of each grade.
By using a representative and random sample of students from each grade, Joseph will have a better chance of accurately determining the most popular ice cream flavor among the entire school population.
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If the average (arithmetic mean) of 4 and x is equal to the average (arithmetic mean) of 2 , 8, and x, what is the value of x?
Answer:
x = 8
Step-by-step explanation:
the average is calculated as
average = \(\frac{sum}{count}\)
given that the average of both sets of data are equal then
\(\frac{4+x}{2}\) = \(\frac{2+8+x}{3}\) ( cross- multiply )
3(4 + x) = 2(10 + x) ← distribute parenthesis on both sides
12 + 3x = 20 + 2x ( subtract 2x from both sides )
12 + x = 20 ( subtract 12 from both sides )
x = 8
BRAINLIEST if answered and up to 50 points. 1-3
Answer:
are there any options or...
Step-by-step explanation:
Answer:
You mean the type of solution? or what x equals to?
Step-by-step explanation:
What is an equivalent fraction to 6/14
Answer:
3/7
Step-by-step explanation:
Answer:
0.429 and 3/7
Explanation:
A construction crew is lengthening a road that originally measured 58 miles. The crew is adding one mile to the road each day. The length, L (in miles), after d days of construction is given by the following function.L (D) -58+dWhat is the length of the road after 31 days?miles
We have a situation expressed with the following equation
\(L(d)=58+d\)where L is the miles after a number d of days and d is the number of days
we must find the miles after 31 days of construction, i.e. we replace the value d = 31
\(\begin{gathered} L(31)=58+31 \\ L(31)=89 \end{gathered}\)In conclusion, the answer is 89 miles
help if you can id appreciate it
Less than 14 means
x < 14
Answer:
A. x < 14
Step-by-step explanation:
'<' = "less than"
'=' = "equal to"
'>' = "greater than"
what is the rate of change of the area of a circle with respect to the radius when the radius is r=3
Now the formula for the area of a circle is: πr². So we take 3 and just put it into the equation. π·3²=28.27. This is the area of the circle. Now the rate of change I think would just be the difference between the radius and the area of the circle so 28.27-3=25.27.
The amount of tax for each camera is $5.25 and the tax rate is %6. Explain how the equation
Answer:
the answer is 1.06! hope this helps!
he equation is adjusted by dividing the tax amount by the percent to find the original cost. Dividing by the percent is the inverse operation of multiplying by percent.
Step-by-step explanation:
HELPPP ASAP.
FIND AO
Step-by-step explanation:
\(\frac{9}{12} =\frac{15}{x+15}\)
\(\frac{3}{4} =\frac{15}{x+15}\)
3(x+15)=60
3x+45=60
3x=15
\(\frac{3x}{3} =\frac{15}{3}\\\)
\(x = 5\\\)
or..
\(\frac{9}{12} =\frac{15}{y}\)
\(\frac{3}{4} =\frac{15}{y} \\3y=60\\\frac{3y}{3} =\frac{60}{3} \\y = 20\)
For number five what is the Mean, Median, Mode, and Range
Answer:
Median- 31
Mean- 39
Mode- 20
Range-71
Step-by-step explanation:
Median-13, 20, 20, 20, 31, 35, 61, 67, 84
31 one is in the middle, also you have to sort it for least to greatest.
Mean- Add all the number then divide by the numbers there are.
Mode-It has occored the most
Range- sort least to greatest, then subtract the highest number to the lowest
Suppose you were also asked to calculate a 90% confidence interval. What would change from the 95% confidence interval you calculated previously
The range of the interval will be smaller, when we calculate a 90% confidence interval instead of a 95% confidence interval, the interval will be narrower, meaning that it will exclude more values from the sample.
When we want to estimate the true population mean with a certain degree of certainty, we use a confidence interval. This interval specifies a range of values that the true mean is likely to fall within.
The confidence level is the percentage of times that the interval will include the true population mean of the estimation process is repeated many times.
Suppose we have calculated a 95% confidence interval for the population mean of a variable based on a sample. This means that we are 95% confident that the true population mean falls within the interval we have calculated.
Suppose we are asked to calculate a 90% confidence interval for the same population mean.
What will change?
The answer is that the range of the interval will be smaller.
The 95% confidence interval is wider because it needs to account for a higher probability of including the true population mean.
On the other hand, the 90% confidence interval is narrower because it needs to account for a lower probability of including the true population mean.
Therefore, the confidence level and the width of interval are inversely related. In other words, as the confidence level decreases, the width of the interval decreases, and vice versa.
In summary, when we calculate a 90% confidence interval instead of a 95% confidence interval, the interval will be narrower, meaning that it will exclude more values from the sample.
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which statement is true about the difference of the sample means? the difference of the sample means is statistically significant because it falls outside the 5% significance level. the difference of the sample means is not statistically significant because it falls within the 5% significance level. the difference of the sample means is statistically significant because it falls within the 5% significance level. the difference of the sample means is not statistically significant because it falls outside the 5% significance level.
The statement that is true about the difference of the sample means is option (a) the difference of the sample means is statistically significant because it falls outside the 5% significance level.
To determine whether the difference between the sample means is significant, we need to calculate the confidence interval and check if it includes zero. Since we're assuming there's no difference between the population means, we can use a two-sample t-test and construct a 95% confidence interval.
The formula for the confidence interval for the difference between two sample means is
CI = (X1 - X2) ± tα/2 × SE
where
X1 and X2 are the sample means
tα/2 is the critical t-value from the t-distribution with n1 + n2 - 2 degrees of freedom and α = 0.05/2 = 0.025 (two-tailed test)
SE is the standard error of the difference between two means, which is calculated as SE = sqrt(s1^2/n1 + s2^2/n2), where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
Plugging in the values we have
CI = (1.74 - 0) ± 2.086 × 0.69/sqrt(10) = (1.074, 2.406)
Since the confidence interval doesn't include zero, we can conclude that the difference between the sample means is statistically significant at the 5% level. Therefore, the correct answer is (a) the difference of the sample means is statistically significant because it falls outside the 5% significance level.
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The given question is incomplete, the complete question is:
You calculated the standard deviation of the sample mean differences to be 0.69. You also calculated the sample mean difference to be 1.74. Now you’ll determine whether the difference is significant. For the purpose of constructing the confidence interval, assume that there’s no difference between the population means. which statement is true about the difference of the sample means? a) the difference of the sample means is statistically significant because it falls outside the 5% significance level. b) the difference of the sample means is not statistically significant because it falls within the 5% significance level. c) the difference of the sample means is statistically significant because it falls within the 5% significance level. d) the difference of the sample means is not statistically significant because it falls outside the 5% significance level.
Can the sides of a triangle have lengths 3, 3, and 9?
Answer:
No, the sum of the lengths of ANY 2 sides must be greater than the lengths of this 3rd side.
Step-by-step explanation:
shoko bought a box of popcorn for $3.50 and three medium drinks. define a variable and write an expression to represent the total they spent.
Answer:
hjjjjijjjiiiiiiiiiii
Step-by-step explanation:
jj
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Question 1: American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one: a. No, because the population distribution is skewed. b. No, because the sample size is less than 30. c. No, because the empirical rule is violated. d. Yes. Clear my choice Question 2: Regardless of your answer to the previous question, calculate this probability using a normal distribution. Report your answer to four decimal places. Question 3: Calculate the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm for a random sample of 20 ladybugs. Give your answer accurate to four decimal places. If you found assumptions to be violated in the previous question, answer this question as if the assumptions had not been violated.
Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.
What is meant by standard normal distribution?With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.
As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:
z = (1.5 - 1) / 0.2 = 2.5
We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.
Therefore, the correct answer is option d. Yes. Clear my choice.
The complete question is;
American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:
a. No, because the population distribution is skewed.
b. No, because the sample size is less than 30.
c. No, because the empirical rule is violated.
d. Yes. Clear my choice
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PLEASE HURRY!
I. NEED HELPP
Answer: it would be the third one
A group of friends wants to go to the amusement park. They have $137. 75 to spend on parking and admission. Parking is $15. 25, and tickets cost $24. 50 per person, including tax. Write and solve an equation which can be used to determine xx, the number of people who can go to the amusement park.
The formula to determine xx is
Total Cost = (Parking Cost + Ticket Cost) × Number of People
3 or 4 people can go to the amusement park with available budget.
How to get the answerThe equation which can be used to determine the number of people who can go to the amusement park is:
Total Cost = (Parking Cost + Ticket Cost) × Number of People
Therefore;
The total cost is limited to the available budget of $137.75
The parking cost is $15.25
The ticket cost is $24.50
Number of people is X
So, $137.75 = ( $15.25 + $24.50) × X
$137.75 = $39.75 × X
$137.77 = X
$39.75
X = 3.47
Based on the answer gotten, 3 or 4 people can go to the amusement park with available budget.
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250 pounds = how many tons
The metric unit from pounds to tons is 250 pounds = 0.125 tons
Converting the metric unit from pounds to tonsFrom the question, we have the following parameters that can be used in our computation:
250 pounds = how many tons
As a general rule, we have
1 pound = 0.0005 tons
Multiply both sides of the equation by 250
So, we have
250 * 1 pound = 0.0005 tons * 250
Evaluate the products
250 pounds = 0.125 tons
Hence, the conversion is 250 pounds = 0.125 tons
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Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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A sweater is marked down 20% off the original price. The original price was 33.50. What is the sale price of the sweater after marked down
Answer:
I think its $26.80
Step-by-step explanation:
i need help to solve this please
Answer:
3
Step-by-step explanation:
Please Help Quick ASAP Hurry
Choose the best answer. Which fraction is greater than 7/12?
A. 5/9
B. 2/3
C. 1/2
D. 2/5
Answer: 2/3
Step-by-step explanation: use scratch work and compare the shaded amounts.