Answer:
Step-by-step explanation:
The random variable in this scenario is the sample mean speed of the cable Internet connection. It represents the average speed of a random sample of cable Internet connections.
The random variable is a statistical measurement that captures the variability in the speeds of different cable Internet connections. In this case, it specifically focuses on whether the mean speed exceeds one hundred Megabits per second, which serves as the threshold for the hypothesis test.
By collecting a sample of cable Internet speeds and calculating their mean, we can determine if the observed average speed is significantly greater than the specified threshold, indicating a faster Internet connection.
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Share $240 between Alex and Burton in the radio:
5:1
Answer:
$200 : $40
(i divided 240 by 6 because there are six parts in the ratio, and got 40. 40*5=200 and the other 40 makes it 240 in the ratio of 5:1)
Step-by-step explanation:
Answer:
Alex : Burton
5 : 1
5+1=6
240/6=40
5 times 40=200
1 times 40 =40
= 200:40 this means alex gets $200 and burton gets $40
Solve 2(x + 1) = 2x + 2.
All real numbers
No solution
0
1
Answer:
All real numbers
A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $30 per foot and on the other three sides by a metal fence costing $10 per foot. If the area of the garden is 450 ft2, find the dimensions of the garden minimizing the cost.
The dimensions that minimize the cost are x ≈ 13.42 ft and y ≈ 33.58 ft.
We are given that;
Brick wall costing= $30
Area= 450ft^2
Now,
To find the critical points, we take the derivative of C and set it equal to zero:
C’ = 50 - 9000/x2 C’ = 0 50 - 9000/x2 = 0 9000/x2 = 50 x2 = 9000/50 x2 = 180 x = ±√180 x ≈ ±13.42
Since x must be positive, we only consider x ≈ 13.42 as a critical point. To check if this is a minimum or maximum, we can use the first derivative test or the second derivative test. Using the second derivative test, we find:
C’’ = 18000/x3
Since x ≈ 13.42 is positive, C’’ > 0 at this point, which means C has a local minimum at x ≈ 13.42.
To find the absolute minimum, we also need to evaluate C at the endpoints of its domain:
C(0) = undefined C(450) = 50(450) + 20(1) = 22520
So, C has an absolute minimum at x ≈ 13.42 with a value of:
C(13.42) ≈ 50(13.42) + 20(33.58) ≈ $1,337
To find the dimensions of the garden that minimize the cost, we use y = 450/x and plug in x ≈ 13.42:
y ≈ 450/13.42 y ≈ 33.58
Therefore, by area the answer will be x ≈ 13.42 ft and y ≈ 33.58 ft.
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A delicatessen is open 24 hours a day every day of the week. If, on the average, 20 orders are received by fax every two hours throughout the day, find the a. probability that a faxed order will arrive within the next 9 minutes b. probability that the time between two faxed orders will be between 3 and 6 minutes c. probability that 12 or more minutes will elapse between faxed orders
The answers are (a) 1.5 orders (b) 0.5 (c)-1
a. Probability that a faxed order will arrive within the next 9 minutes:
Since there are 24 hours in a day, and we receive an average of 20 orders every two hours, this means we receive an average of 10 orders per hour. We can assume that orders arrive uniformly throughout the hour. To find the probability that a faxed order will arrive within the next 9 minutes, we can convert the time to hours. 9 minutes is \(\frac{9}{60} = 0.15\) hours. The probability of an order arriving within the next 9 minutes is equal to the average rate of orders per hour multiplied by the time interval:
Probability = (10 orders/hour) * (0.15 hours) = 1.5 orders.
b. Probability that the time between two faxed orders will be between 3 and 6 minutes. Again, we need to convert the time interval to hours. 3 minutes is \(\frac{3}{60}=0.05\) hours, and 6 minutes is \(\frac{6}{60} = 0.1\).
The probability of the time between two orders being between 3 and 6 minutes can be calculated as the difference between the probabilities of an order arriving within the next 3 minutes and an order arriving within the next 6 minutes:
Probability = (10 orders/hour) (0.1 hours) - (10 orders/hour) (0.05 hours)
= 1 - 0.5
= 0.5.
c. Probability that 12 or more minutes will elapse between faxed orders:
Similar to the previous calculations, we convert the time to hours. 12 minutes is \(\frac{12}{60} = 0.2\) hours.
The probability that 12 or more minutes will elapse between faxed orders can be calculated as the probability of no orders arriving within the next 12 minutes:
Probability = 1 - (10 orders/hour) (0.2 hours)
= 1 - 2
= -1.
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Find the midpoint of the segment with the given endpoints. (9.-9) and (2.-10)
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{(5.5 \: , \: - 9.5)}}}}}\)
Step-by-step explanation:
Let the points be A and B
Let A ( 9 , -9 ) be ( x₁ , y₁ ) and B ( 2 , - 10 ) be ( x₂ , y₂ )
Finding the midpoint
\( \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} }}\)
\( \longrightarrow{ \sf{midpoint = ( \frac{9 + 2}{2} , \: \frac{ - 9 + ( - 10)}{2}}} )\)
\( \longrightarrow{ \sf {midpoint = ( \frac{11}{2} \: , \: \frac{ - 9 - 10}{2}})} \)
\( \longrightarrow{ \sf{midpoint = (5.5 \: , \: \frac{ - 19}{2}}} )\)
\( \longrightarrow{ \sf{midpoint = (5.5 \: , - 9.5}})\)
Hope I helped!
Best regards! :D
Please solve in EXCEL using an excel formula such as =npv
ou're buying a house that costs 300,000 with a down payment of \( 25 \% \) in cash and a 30 year mortgage for the rest at \( 2.75 \% \). What are your onthly principal + interest payments?
To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:
Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
Loan Amount = $300,000 - $75,000 = $225,000
Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.
Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.
Use the PMT function in Excel to calculate the monthly principal + interest payment.
Monthly Payment = -PMT(0.00229, 360, 225000)
The negative sign is used because the payment is an outgoing cash flow.
By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.
To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.
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you may not use the break and continue statements within the same set of nested loops. t/f
The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.
The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.
The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.
Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.
By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.
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Note : This is a computer science question
Two of the sides of a triangle are $18$ and $25.$ The length of the third side is also a positive integer. How many different possible values are there for the third side length? Ps: (Geometry Problem) Have fun!
Answer:
A set of all positive integers between 7 and 43.
Step-by-step explanation:
If a triangle is given with the sides a, b, c, triangle is possible when,
a + b > c
a + c > b
b + c > a
Following the same rule in a triangle having side lengths 18, 25 and l unit.
18 + 25 > l ⇒ l < 43
18 + l > 25 ⇒ l > 7
25 + l > 18 ⇒ l > -7
Therefore, length of the third side of the triangle will be,
7 < l < 43 (A set of positive integers between 7 and 43)
Carol was able to drive her car 300 miles on 12 gallons of gasoline. At this rate, how many miles did she drive using 20 gallons of gasoline
Answer:
500
Step-by-step explanation:
It is hard to expain.
Hope its correct and helps:)
Solve the equation:
4y2 + 7 = 19
(write your answer in exact form)
Answer:
y2=3
Step-by-step explanation:
4y2+7=19
Subtract 7 from both sides.
4y 2 =19−7
Subtract 7 from 19 to get 12.
4y2=12
Divide both sides by 4.
y2= 12/4
Divide 12 by 4 to get 3.
y2=3
Answer:
4y2 + 7 = 19
Step-by-step explanation:
4y2 =19-7
4y2=12
4yx2=12
8y=12
dbs by 8
y=1.5 or 2
If the slope of the line is -1/4, find x when (x,2) and (1/2,6).
Please help me !!!
Answer:
-7/6 is the answer hope it helped
Using the following diagram, determine the values of x, y, and z.
State the solution in simplest radical form or x equals a √b, y = c to the square root d, and z equals e to the square root of f, where a, c, and E are coefficients and become a d, and F are radicants. use NA when necessary
The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.
How to evaluate the values of x, y, and z for the triangleThe perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.
√15/(y + 2) = y/√15 {opposite/adjacent}
y(y + 2) = (√15)² {cross multiplication}
y² + 2y = 15
y² + 2y - 15 = 0
by factorization;
(y - 3)(y + 5) = 0
y = 3 or y = -5
by Pythagoras rule:
(√15)² = x² + y²
15 = x² + 3²
x = √(15 - 9)
x = √6
z² = (√6)² + 2²
z = √(6 + 4)
z = √10
Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.
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PLEASE I NEED SOMEONE TO HELP MY ASSIGNMENT IN MATH!!!
Answer:
Step-by-step explanation:
Midpoint theorem : The line joining midpoint of any two side of a triangle is parallel to third side and is half of it.
1) AI = 10.5
MC = 2*AI = 2*10.5
MC = 21
I solved for MC using midpoint theorem.
2) MC = 32
AI = \(\frac{1}{2}*32\)
AI = 16
I solved for AI using midpoint theorem.
Answer:
AI is 16
Step-by-step explanation:
can someone plz help me with this question asap: solve the equation for x in the terms of c. 2/3(cx + 1/2) - 1/4 = 5/2
A: x = 9/4c
B: x = 27/8c
C: x = 29/8c
D: x = 29/18c
Is this image an example of a ray ??
Answer:
what image u talking about can u so me the image so I can right the answer. plis
Answer:
No
Step-by-step explanation:
This is a ray (Image Below)
The image you have is a line segment.
solve 6x - 3 = 3x + 12
Answer:
x=5
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Answer:
x=5
Step-by-step explanation:
6x-3 = 3x +12
+3 +3
6x = 3x +15
-3x -3x
3x = 15
divided both sides by 3 to get your answer
Please help i got it wrong its not 170 degrees
Jessica estimated that her family used 30% more water this month compared to last month . they used 12000 gallons of water last month , how much water did they use this month
Answer:
15,600 Gallons
Step-by-step explanation:
The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Last used of water = 12000
30% of 12000 = (30/100)12000 = 3600
Water used in the current year = 12000 + 3600 = 15600 gallons.
Hence "The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water".
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A garden store recently sold several types of seed packets.
zucchini 40
pumpkin 21
cucumber 16
Considering this data, how many of the next 99 seed packets sold should you expect to be pumpkin seed packets?
Out of the next 99 seed packets, the expected number of pumpkin seed packets is given as follows:
27.
How to obtain the expected number of pumpkin seed packets?First we must obtain the proportion of the number of pumpkin seed packets, which is given by the division of the number of pumpkin seed packets by the total number of packets.
The total number of packets is obtained as follows:
40 + 21 + 16 = 77.
Hence the proportion of pumpkin seed packets is given as follows:
21/77.
Out of 99 packets, the expected number of pumpkin seed packets is given as follows:
99 x 21/77 = 9 x 21/7 = 27.
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The system of equations below has no solution.
StartLayout enlarged left-brace 1st row two-thirds x + five-halves y = 15 2nd row 4 x + 15 y = 12
Which equation could represent a linear combination of the system?
Four-thirds x = 42
Fifteen-halves y = 33
0 = 0
I will give Brainliest to whomever answers this question quickly but CORRECTLY!!!!
An equation that could represent a linear combination of the system with no solution is: B) 0 = 26.
What is no solution?In Mathematics, no solution is sometimes referred to as zero solution. Additionally, an equation is considered as having no solution when the right hand side and left hand side of the equation are not the same or equal.
From the information provided above, we have this system of equations:
2x/3 + 5y/2 = 15 ........equation 1
4x + 15y = 12 ........equation 2
Multiplying equation 1 by 6, we have:
6 × (2x/3 + 5y/2 = 15)
4x + 15y = 90 ......equation 3
Subtracting the equation 3 from equation 2, we have:
(4x - 4x) + (15y - 15y) = (12 - 90)
0 + 0 = -78
0 = -78 ≡ 0 = 26.
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Complete question:
The system of equations below has no solution.
2x/3 + 5y/2 = 15
4x + 15y = 12
Which equation could represent a linear combination of the system?
A) 4/3x=42
B) 0 = 26
C) 15/2y=33
D) 0=0
In the U.S., shoe sizes are defined differently for men and women, but in Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of center?
To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them.
The problem with either the mean or the median as a measure of center in this case is that the data is not separated by gender, and the shoe size distributions for men and women are likely to be different. Therefore, computing the mean or median shoe size across all students may not accurately represent the typical shoe size for men or women separately.
For example, if the men in the sample have, on average, larger shoe sizes than the women, then the mean shoe size across all students may be biased towards the larger sizes, even though the majority of the students are women. On the other hand, if there are a few male students with very large shoe sizes, then the median shoe size across all students may be biased towards the larger sizes as well, even if most of the students are women with smaller shoe sizes.
To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them. Alternatively, a better measure of center might be to report the mode, which represents the most common shoe size in the data.
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BRO SOMEONE HELP!!!!!!!!!!
Answer:
t= 52 seconds
A= 7,903 ft
Step-by-step explanation:
So start by writing each plane as an expression.
Plane A
3687+65.5*t is an expression for the ascent
Plane B
5000+40.25*t is an expression for the ascent
to find the time when they are at the same altitude set them equal to each other
3687+65.5*t = 5000+40.25*t
25.25*t = 1313
t= 52 seconds
to find the altitude solve one of the expressions with t=52
A =3687+65.5*52= 7093 ft
Fatima is taking a test that is 45 minutes long.
She finishes the test at 10:50 a.m.
What time did she start the test?
Answer:10:05
Step-by-step explanation:
subtract 45 from 50!
Answer:
She started the test at 10:05 am
Step-by-step explanation:
Take the end time and subtract the time of the test
10:50-45 = 10:05
She started the test at 10:05 am
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
7. Given the diagram below, what is the length of side x?
Answer:
x = 19.425
Step-by-step explanation:
x = (asin(B)) / (sin(B))
x = (21sin(61∘)) / (sin(71∘))
x = 19.425 cm
If you have 20 apples and you give 10 of them away how much apples would you have?.
Answer:
you would have 10 apples I'm pretty sure lollll
This is my mom's phone number i 361 906 5457 call her so she can wake up bc I have a performance soon and I know she won't hear her alarm
plz call her or I won't be able to go thnx
Answer:
ok
Step-by-step explanation:
let me do it for you lol
Answer:
ok?!?!?!?!?!?!?!?!?!?!?!?
6. suppose [a],[b] ∈ z6 and [a]·[b] = [0]. is it necessarily true that either [a] = [0] or [b] = [0]? what if [a],[b] ∈ z7?
It is not necessarily true that either [a] = [0] or [b] = [0] when [a],[b] ∈ z6 and [a]·[b] = [0].
This is because in z6, there are other pairs of elements that multiply to [0] besides [0] and any other element. For example, [2]·[3] = [6] = [0] in z6, but neither [2] nor [3] are equal to [0].
However, if [a],[b] ∈ z7 and [a]·[b] = [0], then it is necessarily true that either [a] = [0] or [b] = [0]. This is because z7 is a field, meaning that it has no zero divisors (elements that multiply to [0] besides [0] itself). Therefore, the only way for [a]·[b] = [0] in z7 is if either [a] or [b] are equal to [0].
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Solve for x: 2^4x + 2^4+3 = 144
The Land of Nod lies in the monsoon zone, and has just two seasons, Wet and Dry. The Wet season lasts for 1/3 of the year, and the Dry season for 2/3 of the year. During the Wet season, the probability that it is raining is 3/4; during the Dry season, the probability that it is raining is 1/6. (a) I visit the capital city, Oneirabad, on a random day of the year. What is the probability that it is raining when I arrive? (b) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that my visit is during the Wet season? (c) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that it will be raining when I return to Oneirabad in a year's time? (You may assume that in a year's time the season will be the same as today but, given the season, whether or not it is raining is independent of today's weather.)
Answer:
Step-by-step explanation:
(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.
Let A be the event that it is raining, and B be the event that it is the Wet season.
P(A) = P(A|B)P(B) + P(A|B')P(B')
Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.
The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.
Now we can calculate the probability that it is raining when you arrive:
P(A) = (3/4)(1/3) + (1/6)(2/3)
= 1/4 + 1/9
= 9/36 + 4/36
= 13/36
Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.
(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.
Let C be the event that your visit is during the Wet season.
P(C|A) = (P(A|C)P(C)) / P(A)
We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.
Now we can calculate the probability that your visit is during the Wet season:
P(C|A) = (3/4)(1/3) / (13/36)
= 1/4 / (13/36)
= 9/52
Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.
(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.
Let D be the event that it is raining when you return.
If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.
If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.
Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.
Let C' be the event that your visit is during the Dry season.
P(D) = P(D|C)P(C) + P(D|C')P(C')
Since P(C) = 1/3 and P(C') = 2/3, we can calculate:
P(D) = (3/4)(1/3) + (1/6)(2/3)
= 1/4 + 1/9
= 9/36 + 4/36
= 13/36
Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.
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