The number of 45-second commercials can it show, based on the given informations and values provided, it is calculated to show approximately 1749 number of 45-second commercials each hour.
There are 60 seconds in a minute, so there are 60/45 = 4/3 45-second commercials in a minute.
If the television station shows commercials for 1312 minutes each hour, then in one hour, it can show 1312 x 4/3 = 1749.33... 45-second commercials.
Since it's not possible to show a fraction of a commercial, we need to round the result to the nearest whole number.
Therefore, the television station can show approximately 1749 number of 45-second commercials each hour.
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Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him to cover this distance if he drives at an average speed of 65km/h? Give your answer rounded to the nearest minute.
Answer:
7.385 minutes
Step-by-step explanation:
Given that :
Average speed = 65km/hr
The distance covered = 8km
The time taken Given the information above :
Recall:
Speed = distance / time
Time taken = distance / speed
Time taken = 8km / 65km/hr
Time taken = 0.1230769 hr
Time taken = 0.1230769 * 60 = 7.385 minutes
The time taken to cover this distance is 7.3848 minutes
What is speed?Speed is the change of an object's distance within a specified period of time.
Mathematically, speed can be calculated by using the relation:
Speed = distance/timeFrom the given information:
The average speed = 65 km/hThe distance = 8 kmFrom the above formula, we can make the time the subject of the formula:
Speed = distance/timeBy cross multiplying
Time = distance/speedTime = 8 km / 65 km/hTime = 0.12308 hourWe all know that:
60 seconds = 1 minute60 minutes = 1 hourThus, time(t) = (0.12308 × 60) minutes
Time(t) = 7.3848 minutes
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what is the probability that it will take less than or equal to 4 throws to hit the target on both successful target hits? write out the theoretical form and use r to compute a numeric value.
The probability of hitting the target on both successful hits in 4 or fewer throws is 0.387.
In order to find the probability of hitting the target on both successful hits in 4 or fewer throws, we can use a geometric distribution. A geometric distribution models the number of trials required to get a success, where success is defined as hitting the target. Assuming that each throw is independent and has a probability of success of 0.5, the probability of getting a success on the first throw is 0.5. The probability of getting a success on the second throw is also 0.5.
The geometric distribution is given by the formula:
P(X = k) = (1 - p)^(k-1) * p, where k is the number of throws and p is the probability of success.
So, we can find the probability of hitting the target in 4 or fewer throws by summing the probabilities of hitting the target in 1, 2, 3, and 4 throws:
P(X <= 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
= (1 - 0.5)^(1-1) * 0.5 + (1 - 0.5)^(2-1) * 0.5^2 + (1 - 0.5)^(3-1) * 0.5^3 + (1 - 0.5)^(4-1) * 0.5^4
= 0.5 + 0.25 + 0.125 + 0.0625
= 0.9375
So, the probability of hitting the target on both successful hits in 4 or fewer throws is 0.9375.
Using R, we can easily compute this numeric value:
p <- 0.5
k <- 4
sum((1 - p)^(0:(k-1)) * p)
Result:
0.3867187
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What are all of the factors pairs of 25
Answer:
Step-by-step explanation:
1, 5, 25 are the factor pairs and the multiples are 50.
Factor pairs of 25 :
1 , 5, 25
Given ,
Factors of 25 .
Now,
Factor is a number that divides the given number completely and remainder will be zero .
So,
25 = 5*5
25 = 5²
And,
1 and the number itself is an universal factor of any number .
Thus the factors of 25 are:
1, 5 , 25 .
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Slope is written as a ratio of the vertical change (run) to the horizontal change (rise) between any two points on a line.
Answer:
Step-by-step explanation:
Yeah the equation is change in y over change in x; change in is represented with the delta sign, so y2-y1/x2-x1
Math - Ratios
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A - 9 : 4
B - 2 : 1
C - 9 : 5
D - 3 : 2
a high school has 40 players on the football team. the summary of the players' weights is given in the box plot. what is the median weight of the players?
The median weight of the players on the football team is approximately 160 lbs.
The box plot provides a visual summary of the data which shows the distribution of the weights of the players on the football team. The box plot consists of a box and two "whiskers" which represent the upper and lower quartiles of the data. The box is bounded by the upper quartile and lower quartile and the two whiskers represent the highest and lowest values in the data set, excluding any outliers. The median weight of the players is represented by the line in the middle of the box, which is approximately 160 lbs. The box plot is a useful tool for summarizing the data and provides a quick and easy way to visualize the distribution of the players' weights. The median weight of 160 lbs gives us an idea of the average weight of the players, which can be used to determine the overall strength of the team.
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The complete question is
a high school has 40 players on the football team. the summary of the players' weights is given in the box plot. what is the median weight of the players and find lbs.
please help me on the blank ones
Answer:
A. (12 , -12)
B. (-2 , -8)
C. (15 , 0)
E. (0 , 12)
Step-by-step explanation:
Answer:
(12, -12)(-2, -8)(15, 0)Correct ✅(0, 12)4x+4y=-12
2x+4y=6
I am studying math and I i don’t know how to answer this question
Answer:
X = -y -3
X= -2y + 3 (if correct, please mark brainliest. :))
Step-by-step explanation:
Eli is exploring a career choices. After randomly surveying 40 companies,he determines that the annual median salary for a computer tech Ian is 72,000. Which two statements are valid inferences for this situation
Answer:
The answer is A 50% of computer technicians earn more than $72,000 annually. Step-by-step explanation:
dont have 1 i cheated
Answer:
a and c
Step-by-step explanation:
The table represents the number of cheese crackers in the lunchboxes of 9 boys and 9 girls. by looking at the table, does it appear that the degree of variability for the boys' data is greater, less, or the same as the girls' data? compute the interquartile range of each data set. using the interquartile range, compare the degree of variability between the data sets. explain how the comparison supports your first answer.
a) no; boys: iqr: 4.5; girls iqr: 3; the degree of variability for both sets is about the same.
b) no; boys: iqr: 3; girls iqr: 4.5; the degree of variability for both sets is about the same.
c) yes; boys: iqr: 8; girls iqr: 5; the degree of variability is greater for the boys than for the girls.
d) yes; boys: iqr:10; girls iqr:16; the degree of variability for the boys is less than for the boys.
Hence, the correct option is c) yes; boys: iqr: 8; girls iqr: 5; the degree of variability is greater for the boys than for the girls.
To compute the interquartile range, we need to first find the median of each data set. For the boys' data, the median is 17, and for the girls' data, the median is 15. Then, we find the first and third quartiles by dividing the data set into two halves at the median and finding the median of each half. For the boys' data, the first quartile is 13 and the third quartile is 21, giving an interquartile range of 8. For the girls' data, the first quartile is 12 and the third quartile is 15, giving an interquartile range of 3.
Based on these calculations, we can see that the degree of variability for the boys' data is greater than for the girls' data, as their interquartile range is larger. This supports our initial observation that the boys' data has a greater degree of variability than the girls' data. Answer c) is therefore the correct choice.
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Rewrite the following without an exponent. WILL GIVE BRAINLIEST IF CORRECT
Answer:
(-4)
Step-by-step explanation:
i believe that the answer
A survey of students in the junior class at Avery's high school provided the following information:
Percentage of students who think there is too much homework
85%
Average number of hours per week spent on homework this year
8 hours
Average number of hours per week spent on homework last year
5 hours
Average number of students with afterschool jobs this year
215 students
Average number of students with afterschool jobs last year
135 students
In three to five complete sentences, write a statement that Avery can present to the school principal explaining why 85 percent of the students in the junior class think there is too much homework.
Avery can explain to her school principal that 85% of juniors think there is a lot of homework because several indicators have increased.
What is an indicator?An indicator is a datum that is taken as a reference to analyze the evolution or change of a fact over time. In this case, the indicators would be:
Weekly hours used to do homeworkNumber of students with work for after school.According to the information, it can be inferred that 85% of Junior students consider that there is an increase in homework because there were the following changes compared to last year:
Increase in hours spent on after school homework, last year the average was 5 hours, this year it is 8 hours.Increase in the number of students with after school jobs, last year it was 135 students, this year it is 215 students.From the foregoing, it can be inferred that the number of homework has increased in Junior students and that is why now 85% of them consider that homework has increased.
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Show that every element of Sn can be written as a product of transpositions of the form (1, k) for 2sksn. (Assume that n >1 so that you don't have to worry about the philosophical challenges of Si-t0) [Hint: why is it enough to show that this is true for transpositions?]
In conclusion, we have shown that every element of Sn can be written as a product of transpositions of the form (1, k) for 2 ≤ k ≤ n.
To show that every element of Sn can be written as a product of transpositions of the form (1, k) for 2 ≤ k ≤ n, we need to prove that any permutation in Sn can be expressed as a product of such transpositions.
Firstly, note that it is enough to show that this is true for transpositions because any permutation in Sn can be expressed as a product of transpositions.
Now, consider a permutation π in Sn. We can write π as a product of transpositions as follows:
π = (1, π(1))(1, π(2))...(1, π(n-1))
To see why this works, consider the effect of the first transposition (1, π(1)) on π. This transposition swaps 1 and the element π(1) in π. Then, consider the effect of the second transposition (1, π(2)) on the result of the first transposition. This transposition swaps 1 and the element π(2), which may or may not be equal to π(1). Continuing this process, we eventually end up with the permutation π.
Note that each transposition (1, k) can be expressed as the product of three transpositions:
(1, k) = (1, 2)(2, k)(1, 2)
Therefore, any permutation in Sn can be expressed as a product of transpositions of the form (1, k) for 2 ≤ k ≤ n.
In conclusion, we have shown that every element of Sn can be written as a product of transpositions of the form (1, k) for 2 ≤ k ≤ n.
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The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070
If I make $5 every 10 minutes for 5 hours. How much money would I make?
Answer: 150$
Step-by-step explanation:
60 minutes in an hour means you make 5$ * 6 = 30$ per hour.
For 5 hours would be 150$
You got an A on 6 of your last 18 quizzes in Algebra 2. What is the experimental probability
that you will get an A on your next quiz? (Simplify the fraction).
The experimental probability would be the number of A’s you have out of the number of quizzes you took:
Experimental probability would be 6/18 which reduces to 1/3
The answer is 1/3
Use De Morgan's laws to determine whether the two statements are equivalent. (~p∨~q)→r, ~(p∧q)→r
De Morgan's laws state that ~(p∧q) is equivalent to ~p∨~q and ~(p∨q) is equivalent to ~p∧~q. Using this, we can rewrite the second statement ~(p∧q)→r as ~p∨~q→r.
Now, we can compare the two statements:
(~p∨~q)→r and ~p∨~q→r
To determine if they are equivalent, we need to see if they have the same truth value for every possible combination of truth values for p, q, and r.
Let's create a truth table to help us:
| p | q | r | ~p | ~q | ~p∨~q | (~p∨~q)→r | ~p∨~q | (~p∨~q)→r |
|---|---|---|----|----|--------|-------------|--------|-------------|
| T | T | T | F | F | T | T | T | T |
| T | T | F | F | F | T | F | T | F |
| T | F | T | F | T | T | T | T | T |
| T | F | F | F | T | T | F | T | F |
| F | T | T | T | F | T | T | T | T |
| F | T | F | T | F | T | F | T | F |
| F | F | T | T | T | T | T | T | T |
| F | F | F | T | T | T | T | T | T |
As we can see, both statements have the same truth value for every possible combination of truth values for p, q, and r. Therefore, the two statements are equivalent.
We used De Morgan's laws to rewrite ~(p∧q)→r as ~p∨~q→r, then we compared the two statements using a truth table to see if they have the same truth value for every possible combination of truth values for p, q, and r.
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Identify the slope of the line
The slope of the line that passes through the points, (3, 4) and (-4, -5) is: A. 9/7.
How to Determine the Slope of a Line?The slope of a line can be calculated by using the slope formula, which is given as:
Slope (m) = change in y / change in x or rise / run.
Given that the following points lie on a line:
(3, 4)(-4, -5)The slope of the line would be solved using the slope formula as explained below:
Slope (m) = change in y / change in x = (-5 - 4) / (-4 - 3)
m = -9 / -7
Slope (m) = 9/7.
Therefore, the slope is identified as:
a. 9/7.
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a shipment contains 10 televisions, of which two are defective. a sample of three televisions is selected at random. what is the probability that the sample contains no defective televisions?
The combination of samples is 80% likely to contain no defective televisions.
A combination appears to be a statistical technique for estimating the number of potential configurations in a collection of objects where the sequence of anything like the option is immaterial. Organize the elements in every order to choose. Permutations & combinations are commonly misunderstood.
Evaluate just non-faulty TVs to identify the same amount of ways in which the picked TVs are not defective. Because there are two faulty televisions out of 16, the amount of non-faulty sets is two.
= 10 - 2
= 8
Two non-defective televisions must be picked from a pool of twelve. There are several ways to accomplish this:
= ((10 × 9 × 8 × 7 ....) ÷ ((2 × 1) × (8 × 7 × 6...)) = 8!/2!((10- 2)!) = 80.
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Calculate the acceleration due to gravity on the moon . the feather and hammer were dropped from a height of 1.2 m and took 1.22 seconds to fall .
Answer:
1.61 m/s²
Step-by-step explanation:
You want the acceleration due to gravity on the moon if an object dropped from a height of 1.2 m takes 1.22 seconds to fall.
AccelerationThe relation between time, distance, and uniform acceleration from rest is given by the formula ...
a = 2d/t²
For the given distance and time, the acceleration is ...
a = 2(1.2 m)/(1.22 s)² ≈ 1.61 m/s²
Acceleration due to gravity on the moon is approximately 1.61 m/s².
answer for ten points!
Answer:
try 1239128981441231241
Step-by-step explanation:
myra
The graphs of f(x) and g(x) are shown below: Graph of function f of x equals x squared minus x minus 12. Graph of function g of x equals 3.4 times x minus 6.6 What are the solutions to the equation f(x) = g(x)?
HELP DUE IN 15 MINS!
The diagonals of a rectangle are perpendicular.
True
False
trust me the answer is false :)
Answer:
No they are not, false
Step-by-step explanation:
We know that if the diagonals are perpendicular then they cut at 90 degrees but in rectangles, the diagonals dont cut at 90 degrees. Hence the statement is false.
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What is the value of the missing angle?
150*
95
95
105
145
0120°
O 1300
O 1550
0720
Answer:
b) 130
Step-by-step explanation:
The total of the internal angles of any simple hexagon (six sides) is 720°.
720 = 150+95+105+145+95+x
720= 590 + x
720 - 590 = x
130 = x
Is the following data an example of linear function?
Answer:
yes
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
because A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate
which law would you use to simplify the expression 3^10/3^4
Answer:
I would use the "quotient rule of exponents"
Step-by-step explanation:
I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.
That is:
\(\frac{a^m}{a^n} =a^{m-n}\)
Then in this case the simplified expression would be:
\(\frac{3^{10}}{3^4} =3^{10-4}=3^6\)
Answer: quotient of powers
Step-by-step explanation:
writing equations of lines parallel and perpendicular to a given line through a point
To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:
1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.
2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.
3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.
Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
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suppose quadrilaterals a and b are both squares. determine whether the statement below is true or false. select the correct choice.a and b are scale copies of one another.
The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.
To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.
In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.
Therefore, the statement cannot be determined as true or false based on the given information.
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for two different values of r , the function y(t)= tr satisfies the differential equation t2 y'' − 8 t y' 14 y = 0 what are the two values of r ? separate the numbers with a comma, e.g. 1,2
For two different values of r, the function y(t) = tr satisfies the differential equation t²y'' - 8ty' + 14y = 0. The two values of r are:2, 7
We can solve the given differential equation by using the method of characteristic equations. The characteristic equation is: r² - 8r + 14 = 0. Solving this quadratic equation gives: r = (8 ± √(8² - 4*1*14))/2r = (8 ± √4)/2r₁ = 2r₂ = 7.
Now, let's find the solution of the differential equation for each value of r:For r = 2:Let y = t². Putting it into y = tr, we have y = 2t². Therefore, the solution for r = 2 is: y(t) = 2t².
For r = 7: Let y = t⁷. Putting it into y = tr, we have y = 7t⁷. Therefore, the solution for r = 7 is: y(t) = 7t⁷. Thus, the two values of r are 2 and 7.
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help asap please lol
Answer:
m∠A = 24° , a ≈ 26 ft , b ≈ 51 ft
Step-by-step explanation: