The critical correlation coefficient at an alpha level of 0.01 with a sample size of 7 is 3.365.
To find the critical correlation coefficient at an alpha level of 0.01 with a sample size of 7, we need to consult the critical values table for the correlation coefficient (r) at the given significance level and sample size.
Since the sample size is small (n = 7), we need to use the t-distribution instead of the normal distribution. The critical correlation coefficient is determined by the degrees of freedom (df), which is calculated as df = n - 2.
With a sample size of 7, the degrees of freedom is df = 7 - 2 = 5.
Consulting the t-distribution table with a two-tailed test and a significance level of 0.01, we find that the critical value for a sample size of 7 and alpha of 0.01 is approximately 3.365.
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Which of the following statements is not true about the profit business model?
Choose the incorrect statement below.
A.If a product costs $A to produce and has fixed costs of $B, then the cost function can be represented by C(x)=Ax+B.
B.The profit function can be represented by P(x)=R(x)−C(x).
C.Ideally, the cost will be less than the revenue.
D.The revenue is always more than the cost.
"The revenue is always more than the cost," is the incorrect statement in relation to the profit business model. It is untrue that the revenue is always greater than the cost since the cost of manufacturing and providing the service must be considered as well.
The profit business model is a business plan that helps a company establish how much income they expect to generate from sales after all expenses are taken into account. It outlines the strategy for acquiring customers, establishing customer retention, developing the sales process, and setting prices that enable the business to make a profit.
It is important to consider that the company will only make a profit if the total revenue from sales is greater than the expenses. The cost of manufacturing and providing the service must be considered as well. The revenue from selling goods is reduced by the cost of producing those goods.
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A cyclist travels 7 miles in 15 minutes.
What is her average speed in mph?
Answer:
0.47 miles per hour
Step-by-step explanation:
Nathan has a points card for a movie theater. He receives 40 rewards points just for signing up. He earns 14.5 points for each visit to the movie theater. He needs at least 225 points for a free movie ticket. What is the least number of visits he needs to make in order to earn a free movie ticket?
Nathan needs to make 13 visits to make enough points for a movie ticket.
When Nathan joined, he received 40 reward points. This means that out of the 225 points he needs for a movie ticket, he now only needs:
= 225 - 40
= 185 points
He gets 14.5 points for every visit which means that the number of visits he needs to get to 185 points is:
= Number of points remaining / Number of points per visit
= 185 / 14.5
= 12.76 visits
= 13 visits
Nathan therefore needs at least 13 visits to get enough points.
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Help please!
You board a Ferris Wheel at its lowest point (20 feet off the ground) and it begins to move counterclockwise at a
constant rate. At the highest point, you are 530 feet above the ground. It takes 40 minutes for 1 full revolution.
Derive the formula for h(t) by evaluating for the A, B, C, and D transformation factors.
h(t) = D + A sin (B (t-C))
The formula for the height above the ground, h(t) is h(t) = 255 sin (π/20 t) + 20.
How to get the formulaThe amplitude is half the distance between the highest and lowest points, which is (530 - 20)/2 = 255 feet. So A = 255.
The period is 40 minutes, so B = 2π/40 = π/20.
At t = 0 (when we board the Ferris Wheel), we are 20 feet above the ground.
This means there is no phase shift, so C = 0.
The vertical shift is also 20 feet, so D = 20.
Putting it all together, we have:
h(t) = 255 sin (π/20 t) + 20
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PLEASE HELP!!!!!!!!!!!!!!
Which graph represents the solution to the inequality −0.96 is greater than or equal to the product of a number and 0.3?
number line with closed circle on point negative 9.3 and arrow shaded to the right number line with open circle on point negative 9.9 and arrow shaded to the left number line with closed circle on point negative 3.2 and arrow shaded to the left number line with closed circle on point negative 3.2 and arrow shaded to the right
The graph of the solution set of the given inequality can be seen in the image at the end.
Which graph represents the solution of the inequality?
Here we have the following inequality:
-0.96 ≥ x*0.3
To solve this, we need to isolate the variable x in one of the sides of the inequality.
To do that, we need to divide both sides by 0.3
-0.96/0.3 ≥ x*0.3/0.3
-3.2 ≥ x
So our variable x is smaller than or equal to -3.2
Then the graph will be a closed circle at x = -3.2 and a line that extends to the left side.
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a point is chosen randomly on a line segment of length l, where we break this line segment into two parts. find the probability that the ratio of the shorter to the longer segment is less than 1/4.
To find the probability that the ratio of the shorter to the longer segment is less than 1/4 when a point is chosen randomly on a line segment of length 'l,' we can consider the following approach.
Let's denote the position of the chosen point by 'x' where 0 ≤ x ≤ l represents the distance from one end of the line segment.
The ratio of the shorter segment to the longer segment will be less than 1/4 if 'x' lies in the interval (0, l/5).
This is because any point within this interval will divide the line segment into two parts such that the shorter segment is less than 1/4 of the longer segment.
The length of the interval (0, l/5) is l/5, and the total length of the line segment is 'l.' Therefore, the probability of choosing a point within the interval (0, l/5) is given by (l/5) / l = 1/5.
Hence, the probability that the ratio of the shorter to the longer segment is less than 1/4 is 1/5 or 0.2.
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two apples and 1 banana contain a total of 285 calories. an apple has 15 less calories than a banana. how many calories does each fruit contain
Answer:
Each apples contain 90 calories while each bananas contain 105 calories.
Step-by-step explanation:
Let x be the calories of apple and y be the calories of banana:
\(\displaystyle{2x + y = 285}\)
Since an apple has 15 less calories than a banana:
\(\displaystyle{x = y-15}\)
Solve the simultaenous equations; substitute x = y - 15 in 2x + y = 285:
\(\displaystyle{2\left(y-15\right) + y = 285}\\\\\displaystyle{2y-30+y=285}\\\\\displaystyle{3y=285+30}\\\\\displaystyle{3y=315}\\\\\displaystyle{y=105}\)
We know the calories of banana now but we have not known the calories of apple yet. Therefore, substitute y = 105 into x = y - 15:
\(\displaystyle{x=105-15}\\\\\displaystyle{x=90}\)
Hence, the calories of each apples contain 90 calories and the calories of each bananas contains 105 calories.
Which of the following shows an example of two irrational numbers being multiplied to get a rational number?
Responses
3×9
0×5
3√ ×12−−√
2√×3√
12. Julie is buying a house for $225,000. She obtains a mortgage in the amount of $156,000 at a
4. 5% fixed rate. The bank offers a 4. 25% interest rate if julie pays 2. 25 points. What is the cost
of points for this mortgage rounded to the nearest dollar?
$3,510
$5,063
$6,630
$7,020
The cost of points for this mortgage is $3,510 rounded to the nearest dollar if Julie pays 2.25 points.
Cost of house = $225,000.
Mortgage amount = $156,000
Fixed-rate = 4.5%
Bank offer rate = 4.25%
Points to pay = 2.25 points
If we assume that one point is equal to 1%, then 2.25 points are equal to 2.25% of the loan amount.
The cost of points for the mortgage can be calculated by the product of the loan amount by 2.25%.
Cost of points = 0.0225 × $156,000
Cost of points = $3,510
Therefore, we can conclude that the cost of points for this mortgage is $3,510 rounded to the nearest dollar.
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55 subtracted from three times any number.
Use xx to represent any number.
The expression to represent the above statement is
The expression for the given statement is 3x-55.
The given statement is 55 subtracted from three times any number.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Let the unknown number be x.
Three times any number = 3x
55 subtracted from three times any number = 3x-55
Therefore, the expression for the given statement is 3x-55.
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You should be able to see the question, if you know how to answer the ones that i didnt answer please let me know (with work please) if you do i will be so grateful!
Answer:
Sometimes, “I don't know” or “Let me get back to you” just doesn't cut it. ... Most of the time it's no big deal when you don't have a solid answer right away. ... get back to you,” can risk diminishing your credibility–especially if those are your ... Related: 5 Credibility-Busting Responses You Need To Stop Using .
Step-by-step explanation:
Credibility-Busting Responses You Need To Stop Using .
A small auditorium has 20 seats in the first row and each successive row contains 2
additional seats. If there are 12 rows in the auditorium, how many seats are in this
auditorium?
O 384
O 372
O 330
O 264
Answer:
330.
Step-by-step explanation:
Count all the way up. The first row is 20, then goes, 22,24,26,28,30,32,34,36,38,40. These are the number of seats for all 12 rows, since we added 2 each row. Add them all together including 20 to get 330 seats. The whole auditorium has 330 seats.
Hope this helps!
As per arithmetic Progression, there are 372 seats in the given auditorium.
What is an arithmetic progression?"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Given, the auditorium has 20 seats in the first row.
Then, each successive row contains 2.
We can assume it as an arithmetic progression.
Here, the first term(a) is 20.
The common difference(d) is 2.
Total number of terms(n) is 12.
Therefore, the sum of all the terms is
\(= \frac{n}{2}[2a + (n-1)d]\\= \frac{12}{2}[2(20) + (12-1)2]\\= 6[40+(11)2)]\\= 6(40+22)\\= 6(62)\\= 372\)
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A square has an area of 25 cm^2. What is the perimeter of the square.
Answer:
Step-by-step explanation:
area of the aquare = s^2 = 25cm^2
∴ side = √25
side = 5cm
perimeter = 4 × side
= 4 × 5
∴ perimeter = 20 m
hope this helps
plz mark it as brainliest!!!!!!
Answer:
20cm
Step-by-step explanation:
area = Length x Width with a square we know the length and width are equal so we just work out the square root of 25 which is 5cm. A square has 4 sides so 5x4 = 20cm
please help me understand this
Answer:
16 pounds
Step-by-step explanation:
you look at where x is 24 and y is equal to 16
hopes this helps please mark brainliest
H28−−√ was simplified and the final answer is 87√. What was the value of H in the original question?
Solution
To solve this problem, we only need to equate and solve for H
\(\begin{gathered} H\sqrt{28}=8\sqrt{7} \\ divide\text{ both sides by }\sqrt{28} \\ H=\frac{8\sqrt{7}}{\sqrt{28}} \\ \\ H=\frac{8\sqrt{7}}{2\sqrt{7}} \\ \\ H=4 \end{gathered}\)what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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7. B) please! i’m not sure i quite understand how to do it
Answer:
3cm
Step-by-step explanation:
those double hashes on those 5 sides mean they are equal. so essentially you have 5 sides that measure 3/10cm and one side that measures 1 1/2cm.
3/10 * 5 = 15/10 = 1 1/2cm
1 1/2cm + 1 1/2cm = 3cm
4. Evaluate:
root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)
Therefore, the evaluated value of `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)` is approximately 0.3263634046.
To evaluate the expression `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)`, we will follow the order of operations (PEMDAS/BODMAS), which instructs us to simplify operations inside parentheses, exponents, multiplication, division, addition, and subtraction.
First, let's simplify the exponents inside the expression:
- (0.0023) ^ 2 = 0.0023 * 0.0023 = 0.00000529
- (0.0496) ^ 5 = 0.0496 * 0.0496 * 0.0496 * 0.0496 * 0.0496 = 0.000005577776
Now, we substitute the simplified values back into the expression:
- `root((34.64 * 0.00000529) / 0.000005577776, 3)`
Next, we perform the division:
- (34.64 * 0.00000529) / 0.000005577776 = 0.03262532014
Substituting the result back into the expression, we have:
- `root(0.03262532014, 3)`
Now, let's calculate the cube root of 0.03262532014:
- cube root of 0.03262532014 ≈ 0.3263634046
It's important to note that due to rounding during intermediate steps, the final answer may not be entirely precise. If you require a more accurate result, it is recommended to carry out the calculations using higher precision or additional decimal places.
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Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.
Answer:
The amount she saves is 25% of her income
Step-by-step explanation:
She is paid $11 per hour
She works 9 hours per day
and for 24 days per month
So, she works 9(24) hours per month
= 216 hours per month
Now, she is paid $11 hourly, so for 216 hours,
she will have 11(216) = $2376
Total income = $2376 per month
Saving = $594 per month
As a percentage, we divide the savings by the total income,
savings/(total income) = 594/2376 = 1/4 = 0.25
Hence we get 25%
how many seconds would it take an echo sounder's ping to make the trip from a ship to the challenger deep (10,994 meters) and back? recall that depth
It would take an echo sounder's ping 88 seconds to make the trip from a ship to the Challenger Deep (10,994 meters) and back. The speed of sound in seawater is 1,500 meters per second, which is used to calculate the round-trip time of the ping.
Given, The depth of Challenger Deep, d = 10,994 meters.
The speed of sound in seawater = 1500 meters per second. Assuming the sound moves at a constant speed, we can calculate the time it takes for a sound to travel 1 meter as follows:
t = d/s, where t = time taken to travel 1 meter, d = distance traveled by sound (in meters), s = speed of sound in seawater (in meters/second)
Substituting the values, we get
t = 10,994/1500 = 7.33 seconds
To find the round-trip time of the ping, we need to double this time, so the total time taken by the ping is 2 × 7.33 = 14.66 seconds. However, the ping travels from the ship to the Challenger Deep and then back to the ship. So, we need to double the time taken by the ping again to account for the return trip. Therefore, the round-trip time of the ping is
=2 × 14.66 = 29.32 seconds. Finally, converting the time into seconds, we get 88 seconds.
Hence, it would take an echo sounder's ping 88 seconds to make the trip from a ship to the Challenger Deep (10,994 meters) and back.
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Determine whether the infinite series m=1 Σ 4+3^m/5^mconverges or diverges, and if it converges, it find sum:1. converges with sum = 11/4 2. series diverges 3. converges with sum = 23/84. converges with sum = 21/8 5. converges with sum = 19/8
The given infinite series Σ 4+3^m/5^m converges with sum equal to 19/8.
To determine whether the given series converges or diverges, we can use the ratio test:
| (4 + 3^(m+1) / 5^(m+1)) / (4 + 3^m / 5^m) |
= | (4/5) + (3/5)(3/4)^m+1 |
As the limit of this expression as m approaches infinity is less than 1, by the ratio test, the series converges.
To find the sum of the series, we can use the formula for a convergent geometric series:
Σ ar^n = a / (1-r)
where a is the first term and r is the common ratio.
In this case, a = 4 and r = 3/5. Therefore, the sum of the series is:
4 / (1 - 3/5) = 19/8.
Hence, the given infinite series converges with sum equal to 19/8.
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SOMOENE HELP ASAPPPPP
53= 29t < 343
Step-by-step explanation:
Answer:
53 = 343t-29
Step-by-step explanation:
53 is equal to (53 =)
t times 343 (343t)
29 less than the quantity (-29)
Good luck! :)
Simplify The following Expression:
45 + (x - 12)
Answer:
The answer is x + 33
Step-by-step explanation:
1) Remove parentheses.
\(45 + x - 12\)
2) Collect like terms.
\(x + (45 - 12)\)
3) Simplify.
\(x + 33\)
Therefor, the answer is x + 33.
Answer:
x+33 is your answer
Step-by-step explanation:
45 + (x - 12)
45+x-12
x+45-12
x+33
Which fraction is smallest?
4/35 OR 1/7 ?
Answer:
1/7 is the smallest fraction
Someone show me how to do this
Answer:
The answer is five and D.
Answer:
E
Step-by-step explanation:
As you can see, A is closest to -4 on the line. Each gaps on the line is 4-0=4, so the point which B on is 4+4=8. Finally, the answer is 8-(4)=12
Anita has saved $43.75 of the $112.50 that she needs for a new snowboard.She saves $13.75 from her paper route each week. The equation13.75w + 43.75 = 112.50 can be used to represent the number of weeksit will take her to reach her goal. In how many more weeks will Anita havesaved enough money for the snowboard?
In order to find the number of weeks w it will take Anita to reach her goal, we need to solve the following equation for w:
\(13.75w+43.75=112.50\)So, we can apply the same operations on both sides of the equation, until we isolate the variable w and find its value.
We obtain:
\(\begin{gathered} 13.75w+43.75-43.75=112.50-43.75 \\ \\ 13.75w=68.75 \\ \\ \frac{13.75w}{13.75}=\frac{68.75}{13.75} \\ \\ w=5 \end{gathered}\)Therefore, Anita will have saved enough money for the snowboard in 5 weeks.
a book sold copies in its first month of release. suppose this represents of the number of copies sold to date. how many copies have been sold to date?
An expected 479,512 duplicates of the book have been offered to date. The principal month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date.
On the off chance that the quantity of duplicates sold in the main month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date, then, at that point, we can utilize this data to appraise the all out number of duplicates offered to date. To do as such, we partition the quantity of duplicates sold in the primary month by the rate portrayal:
38,900 ÷ 0.081 = 479,512
A book has sold 38,900 duplicates in its most memorable month of delivery. This is viewed as 8.1% of the absolute number of duplicates offered to date. To decide the absolute number of duplicates offered, we can utilize this data to appraise the quantity of duplicates offered to date. To do this, we take the quantity of duplicates sold in the main month and gap it by the rate portrayal of the primary month deals comparable to add up to deals. Partitioning 38,900 by 0.081 provides us with an expected absolute of 479,512 duplicates offered to date. This assessment expects that the pace of deals in the principal month is illustrative of the general deals pattern. In any case, minus any additional data about deals in ensuing months, this assessment ought to be taken with alert.
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How do you know if a midpoint Riemann sum is an overestimate or underestimate?
When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.
We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.
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the melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in a sample mean of 94.32. assume the distribution of melting point is normal with a population standard deviation of 1.20. does the true mean melting point differ from 95? use a significance level of 0.01
We do not have enough evidence to conclude that the true mean melting point differs from 95 at a significance level of 0.01.
To determine if the true mean melting point differs from 95, we can use a one-sample t-test with a significance level of 0.01.
The null hypothesis is that the true mean melting point is equal to 95, and the alternative hypothesis is that the true mean melting point is different from 95.
We can calculate the t-statistic using the formula:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
where sample size is 16, sample mean is 94.32, hypothesized mean is 95, and sample standard deviation is the same as the population standard deviation of 1.20.
Plugging in these values, we get:
\(t = (94.32 - 95) / (1.20 / \sqrt{(16)} ) = -2.6667\)
Using a t-distribution table with 15 degrees of freedom (n-1=16-1), and a two-tailed test at a significance level of 0.01, the critical t-value is ±2.947.
Since our calculated t-value of -2.6667 falls within the acceptance region (-2.947 < -2.6667 < 2.947), we fail to reject the null hypothesis.
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If Pua needs 3 1/4 cups of oatmeal, how many 1/4 cups of oatmeal will she use?
ANSWER: If you do a trick called all around the world, you should get
13/4
Pua will use 13, 1/4 cups of oatmeal.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Pua needs 3\(\frac{1}{4}\) cups of oatmeal.
The number of 1/4 cups of oatmeal,
she will use,
= 13/4 ÷ 1/4
= 13
Therefore, she will use 13 cups.
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