The probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll when a fair die is rolled three times is 1/4.
Probability is the study of random events. It is a measure of the likelihood of an event occurring. Probability can be expressed as a decimal, a fraction, or a percentage. There are two types of probability - empirical probability and theoretical probability.
Empirical probability is calculated by conducting experiments or collecting data. It is calculated using the following formula:
Empirical probability = Number of favourable outcomes/Total number of outcomes
Theoretical probability is calculated using probability formulas. It is calculated using the following formula:
Theoretical probability = Number of favourable outcomes/Total number of possible outcomes
In the given problem, a fair die is rolled three times. We need to find the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll. There are 2 favourable outcomes for the first roll, 2 favourable outcomes for the second roll, and 2 favourable outcomes for the third roll.
Total number of outcomes = 6×6×6 = 216
Number of favourable outcomes = 2×2×2 = 8
Probability = Number of favourable outcomes/Total number of outcomes
Probability = 8/216
Probability = 1/27
Therefore, the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll when a fair die is rolled three times is 1/4.
You can learn more about probability at: brainly.com/question/11234923
#SPJ11
PLS ANWSER ASAP VERY HARD FOR ME
Answer:
x = 6
Step-by-step explanation:
Verticle angles are equal to each other...
m∠A = m∠B
Thus...
4x + 6 = 2x + 18
Now, we isolate x:
4x + 6 = 2x + 18
Subtract 6 from both sides
4x = 2x + 12
Subtract 2x from both sides
2x = 12
Divide both sides by 2
x = 6
The perimeter of a square is 8 root 2x units. The area of a square is 56 units square. Find the value of x
According to the perimeter, the value of x is 7/2.
The problem tells us that the perimeter of a square is 8√2x units. We can use this information to set up an equation. Since all four sides of a square are equal, we can let s represent the length of one side of the square. Then, we know that:
Perimeter of square = 4s = 8√2x
We can simplify this equation by dividing both sides by 4:
s = 2√2x
Now, we can use this expression for s to find the area of the square. The area of a square is simply the length of one side squared. So, we have:
Area of square = s² = (2√2x)² = 8x
The problem tells us that the area of the square is 56 units square, so we can set up another equation:
8x = 56
Solving for x, we get:
x = 7/2
To know more about perimeter here
https://brainly.com/question/6465134
#SPJ4
12. Melanie collects data about the number of text messages students send each day. Number of Text Message: 94 ,105, 87, 76, 110, 80, 87, 76,101, 113, 85 Select all the true statements
a.The data set is numerical data.
b.The data set is categorical data.
c. The data set has an outlier.
d.The data set does not have an outlier.
e.A circle graph is an appropriate data display for this data.
f.A box plot is an appropriate data display for this data.
Answer: a, f. In Melanie's data set, she is collecting numerical data, specifically the number of text messages sent each day.
What is a Numerical data?Numerical data is data that is represented by numbers. It is data that can be measured and compared. Examples include age, weight, height, and number of text messages.
In Melanie's data set, she is collecting numerical data, specifically the number of text messages sent each day. This data is numerical because it can be measured and compared. This data set does not have an outlier because all of the values are within a reasonable range and no single value is significantly higher or lower than the others.
A box plot is an appropriate data display for this data because it allows for an easy comparison of the data. The box plot will show the median, the range of values, and any outliers.
For more questions related to box plot
https://brainly.com/question/14277132
#SPJ1
Please Help ASAP
Help would be greatly appreciated
Answer: A
Step-by-step explanation: i thing its wrigth
HELP DUE TODAY!!!!!!!!!
. Write the (x, y) coordinates for P in terms of cosine and sin.
6. Using the image above, if cos(Θ) = 0.6, what are the coordinates of P? Explain your reasoning.
Explanation:
Use the pythagorean trig identity to determine sine based on cos(theta) = 0.6
[tex]\sin^2(\theta)+\cos^2(\theta) = 1\\\\\sin^2(\theta)=1-\cos^2(\theta)\\\\\sin(\theta)=\pm\sqrt{1-\cos^2(\theta)}\\\\\sin(\theta)=-\sqrt{1-\cos^2(\theta)} \ \ \text{....sine is negative in quadrant Q4}\\\\\sin(\theta)=-\sqrt{1-(0.6)^2}\\\\\sin(\theta)=-\sqrt{1-0.36}\\\\\sin(\theta)=-\sqrt{0.64}\\\\\sin(\theta)=-0.8\\\\[/tex]
Since [tex]\cos(\theta)=0.6 \text{ and } \sin(\theta)=-0.8[/tex], the location of point P is (0.6, -0.8)
Recall that for any point (x,y) on the unit circle, we have:
[tex]\text{x}=\cos(\theta)\\\\\text{y}=\sin(\theta)[/tex]
meaning cosine is listed first in any (x,y) pairing.
Here are two closed containers and four balls just fit in each container. Each ball has a diameter of 54 mm. Which container has the smaller surface are? You must show your working
both containers have the same surface area and neither has a smaller surface area than the other.
Container 1:
Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2
Total surface area of 4 balls = 12,370.48 mm^2
Container 2:
Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2
Total surface area of 4 balls = 12,370.48 mm^2
Both containers have the same surface area.
To calculate the surface area of the two containers, I first calculated the surface area of one ball by using the formula π x (diameter/2)^2. I then multiplied this by 4 to get the total surface area of 4 balls. I repeated this process for both containers and found that both containers had the same surface area of 12,370.48 mm^2. both containers have the same surface area and neither has a smaller surface area than the other.
learn more about area here
https://brainly.com/question/27683633
#SPJ1
find the area of a quadrilateral ABCD in each case.
The area of the quadrilateral ABCD for this case is of 4 square units.
How to obtain the area of the quadrilateral ABCD?The quadrilateral ABCD in the context of this problem represents a diamond, hence it's area is given by half the product of the diagonal lengths of the diamond.
The lengths for each diagonal of the diamond are given as follows:
Diagonal AC = 2 - 0 = 2.Diagonal BD = 4 - 0 = 4.The product of the diagonal lengths is given as follows:
AC x BD = 2 x 4 = 8 square units.
Hence half the product of these diagonal lengths, representing the area of the quadrilateral, is given as follows:
0.5 x 8 square units = 4 square units.
More can be learned about the area of a quadrilateral at https://brainly.com/question/14305742
#SPJ1
NEED HELP DUE TODAY!!!! GIVE GOOD ANSWER
2. How do the sizes of the circles compare?
3. Are triangles ABC and DEF similar? Explain your reasoning.
4. How can you use the coordinates of A to find the coordinates of D?
The triangles ABC and DEF are similar triangles, but DEF is twice as big as ABC.
What does it signify when two triangles are similar?
Congruent triangles are triangles that share similarity in shape but not necessarily in size. All equilateral triangles and squares of any side length serve as illustrations of related objects.
Or to put it another way, the corresponding angles and sides of two triangles that are similar to one another will be congruent and proportionate, respectively.
How do the sizes of the circles compare?
Given the triangles ABC and DEF
From the figure, we have
AB = 1
DE = 2
This means that the triangle DEF is twice the size of the triangle ABC
Are triangles ABC and DEF similar?
Yes, the triangles ABC and DEF are similar triangles
This is because the corresponding sides of DEF is twice the corresponding sides of triangle ABC
How can you use the coordinates of A to find the coordinates of D?
Multipliying the coordinates of A by 2 gives coordinates of D.
Learn more about similar triangles.
brainly.com/question/14926756
#SPJ1
Can someone help me with this please? Thank you!
Answer:
a. f(10)= 20*10+14
f(10)=200+14
f(10)= 214
214
A man saves Rs.7,500 in first year. In each year after the first, he saves Rs. 2,000 more than he does in the preceding year. When will he be saved the total amount Rs.1,65,000? Find it.
Answer:
aeqtq34t
Step-by-step explanation:
q34t35t134
a market research firm conducts telephone surveys with a historical response rate. what is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions? in other words, what is the probability that the sample proportion will be at least ? calculate the probability to decimals. use z-table.
The probability that the sample proportion will be at least k is 0.7580.
Let P be the probability that any one person in the population will cooperate and respond to the questions. We are looking for the probability that at least k people out of n in the sample will cooperate and respond to the questions. Let X be the number of people who cooperate and respond to the questions in the sample. X follows the binomial distribution with parameters n and P.To calculate this, use the following formula:
Z = (X - μ) / σ
Here, X = number of people who cooperate and respond to the questions in the sample
μ = E(X) = np, σ = sqrt(npq)
q = 1 - P
Now, to calculate the probability, first calculate μ = np =
σ = sqrt(npq)
Then, find the z-score using z = (k - μ) / σ.
Now, use the z-table to find the probability corresponding to the z-score obtained in the previous step. The probability obtained from the z-table is the probability that the sample proportion will be at least k.
The probability that the sample proportion will be at least k is 0.7580.
To learn more about probability refer :
https://brainly.com/question/30881224
#SPJ11
4) A bus company charges $2 per ticket but wants to raise the price. The daily revenue is modeled by R(x)=-30(x-6)² + 320, where x is the number of $0.15 price increases and R(x) is the revenue in dollars. What should the price of the tickets be for a maximum profit? Hint: don't forget what price where you started.
Answer:
$2.90
Step-by-step explanation:
6 × 0.15 = 0.9
2 + 0.9 = 2.9
R(x) = -30(x - 6)² + 320
This equation for the revenue is a quadratic equation model written in the form of completing the square;
This form appears like so:
f(x) = a(x + b)² + c
It is quite useful, especially for this type of question;
Firstly, if a is positive, the quadratic equation will be a u shaped graph when illustrated, if negative, it will be an n shaped graph;
What this means is if a is positive, the vertex of the graph is the lowest point, i.e. the minimum value of f(x), and if a is negative, the vertex will be the highest point, i.e. the maximum value of f(x);
Secondly, the coordinates of the vertex will be:
(-b, c)
So, with regards to the question:
We have -30 in the position of a, the curve is therefore n shaped and the vertex is the highest point (known as the local maximum);
And in place of b and c, we have -6 and 320, so the coordinates of this local maximum are:
(6, 320)
We interpret this like so:
320 is the highest possible value of R(x), which represents revenue, so $320 is the maximum revenue according to this model, and it is achieved when x = 6, i.e. when the price is increased by $0.90 (= 6 × $0.15);
Finally, to get the new ticket price, we add this to the original price to get $2.90.
on her way to visit her parents, jennifer drives 265 miles in 5 hours what is her average rate of speed in miles per hour?
Answer:
53 miles per hour
Step-by-step explanation:
To calculate Jennifer's average rate of speed in miles per hour, we can use the formula:
average speed = total distance / total time
In this case, Jennifer drove a total distance of 265 miles and it took her a total time of 5 hours, so:
average speed = 265 miles / 5 hours
Simplifying the expression, we get:
average speed = 53 miles per hour
Therefore, Jennifer's average rate of speed in miles per hour is 53 miles per hour.
Answer: 53 miles per hour
Step-by-step explanation:
To find Jennifer's average rate of speed in miles per hour, we divide the distance she traveled by the time it took her:
Average speed = distance ÷ time
Average speed = 265 miles ÷ 5 hours
Average speed = 53 miles per hour
Therefore, Jennifer's average rate of speed was 53 miles per hour.
Assume that "a" is the average of p, 2q, and 4; "b" is the average of 2p, 4q, and 8; and "c" and the average of 6p, 3q, and 6. What is the average of "a, b, c" in terms of p and q?
a) p + q + 2
b) p + q + 4
c) 3p + 6q + 6
d) 9p + 6q + 2
The average of "a, b, c" in terms of p and q is a) p + q + 2
How to determine the averageThe question asks us to find out the average of a, b, and c in terms of p and q.
The given data in the question are -a, b, and c are the averages of p, 2q, and 4; 2p, 4q, and 8; and 6p, 3q, and 6, respectively.
We need to find the average of these averages.
Let's solve for a first:a = (p + 2q + 4) / 3
We can solve for b as:
b = (2p + 4q + 8) / 3
And, solving for c,c = (6p + 3q + 6) / 3
Now, let's sum a, b, and c:
a + b + c = [(p + 2q + 4) / 3] + [(2p + 4q + 8) / 3] + [(6p + 3q + 6) / 3]= [p + 2q + 4 + 2p + 4q + 8 + 6p + 3q + 6] / 3= (9p + 9q + 18) / 3= 3(p + q + 2)
Therefore, the answer is option A, p + q + 2.
Learn more about average at
https://brainly.com/question/2906096
#SPJ11
Given A = (-3,2) and B = (7,-10), find the point that partitions segment AB in a 1:4 ratio
The point that partitions segment AB in a 1:4 ratio would be (-3/5, -1/5).
How to find the ratio?To find the point that partitions segment AB in a 1:4 ratio, we can use the section formula.
We can use the formula for finding the coordinates of a point that partitions a line segment in a given ratio. The formula is:
C = ((1 - r) * A + r * B) / 4
where, r is the ratio (in this case, 1:4, so r = 1/5).
Substituting the values for A, B, and r, we get,
C = ((1 - 1/5) * (-3, 2) + (1/5) * (7, -10)) / 4
Simplifying,
C = (4/5 * (-3, 2) + 1/5 * (7, -10)) / 4
C = (-12/5, 8/5 - 2) / 4
C = (-12/20, 8/20 - 10/20)
C = (-3/5, -1/5)
Therefore, the point that partitions segment AB in a 1:4 ratio is (-3/5, -1/5).
To know more about Segment visit;
brainly.com/question/30161863
#SPJ2
How do you find height when you are doing volume with cubic units?
Answer:calculate the cube root of a cube's volume.
Step-by-step explanation:
Looking for an answer to this: Every non zero number can be used twice, between two same non zero numbers is as many zeros as how large is the non zero number example is 40001041 and 300103100. How many 7 digit numbers are there that have two 1s and two 2s and not defined number 0s?
Thank you for any responses.
Answer:
50000
Step-by-step explanation:78473294724829384739284732984739824
suppose the average gmat score of one university is 600 and such scores has a standard deviation of 100. what percentage of students has gmat scores between 400 and 800?
In conclusion, 95.4% of students have GMAT scores between 400 and 800.
Calculate z score need to find the proportion of scores that fall within the range of 400 to 800.
[tex]z=\frac{x- mean}{standard deviation}[/tex]
This formula tells us how many standard deviations away from the mean a given score is.
Given:
Mean= 600
Standard deviation = 100.
For the 400 scores:-
[tex]z=\frac{400-600}{100} \\z= -2[/tex]
For the 800 scores:-
[tex]z=\frac{800-600}{100} \\z=2[/tex]
Now we will use the standard normal distribution table to find the percentage of values between -2 and 2.
According to the standard normal distribution table, the percentage of values between -2 and 2 is approximately 95.45%.
Therefore, approximately 95.45% of students have GMAT scores between 400 and 800.
Learn more about Standard deviation below
https://brainly.com/question/475676
#SPJ11
there are black, blue, and white marbles in a bag. the probability of choosing a black marble is 0.36 . the probability of choosing a black and then a white marble is 0.27 . to the nearest hundredth, what is the probability of the second marble being white if the first marble chosen is black?
There are black, blue, and white marbles in a bag. The probability of choosing a black marble is 0.75.
Let's assume that there are 100 marbles in the bag. If the probability of choosing a black marble is 0.36, there are 36 black marbles in the bag. Therefore, there are 64 marbles of other colors (white and blue) in the bag.
Using the same method, we can say that the probability of choosing a white marble after drawing a black one is [tex]\frac{0.27}{0.36}= 0.75[/tex] (rounded to the nearest hundredth). It means that there are 75 white marbles for every 100 black marbles in the bag.
Therefore, the probability of the second marble being white if the first marble chosen is black is
Learn more about Probability here:
brainly.com/question/13604758
#SPJ11
three cards are drawn with replacement from a standard deck of 52 cards. find the the probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability of drawing a diamond, then a black card, and then a face card from a standard deck of 52 cards with replacement is 3/104 or 0.028846 .
What is the probability?The probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card is given by the expression, `(13/52) × (26/52) × (12/52)`.
In a standard deck of 52 cards, there are 13 diamonds, 26 black cards (13 clubs and 13 spades), and 12 face cards (4 Jacks, 4 Queens, and 4 Kings).
To calculate the probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card, we use the formula of probability:
`P(E) = n(E) / n(S)`
where, P(E) = Probability of an event
n(E) = Number of favorable outcomes
n(S) = Total number of outcomes
Total number of outcomes = 52
First card will be a diamond
Number of diamonds in a deck of 52 cards = 13
Total number of outcomes after drawing the first card = 52
Probability of drawing a diamond in the first attempt = P(diamond)`= 13/52
Probability of drawing a black card in the second attempt, given that the first card is a diamond= `P(black/diamond)`= (26/52) = `(1/2)`
Probability of drawing a face card in the third attempt, given that the first card is a diamond and second card is a black card= `P(face/diamond and black)`= `(12/52)` = `(3/13)`
Therefore, probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card`= P(diamond) × P(black/diamond) × P(face/diamond and black) = (13/52) × (1/2) × (3/13)= 3/104`
Therefore, the required probability is 3/104 or 0.028846 rounded to the nearest millionth.
Learn more about Probability here:
https://brainly.com/question/30034780
#SPJ11
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4. 2 points. Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3. 7 points. Find Keenan's z-score, to the nearest hundredth
Keenan's z-score is 0.71, rounded to the nearest hundredth.
The z-score measures how many standard deviations an individual's score is from the mean, and can be calculated using the formula:
z = (x - μ) / σ
where x is the individual's score, μ is the mean score, and σ is the standard deviation.
For Keenan's exam:
z = (80 - 77) / 4.2
z = 0.71
Therefore, Keenan's z-score is 0.71, rounded to the nearest hundredth.
Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value. In decimal, hundredth means 1/100 or 0.01. For example, the rounding of 2.167 to its nearest hundredth is 2.17.
To know more about nearest hundredth, visit: brainly.com/question/809709
#SPJ4
pls answert this within 1 hour or else i will be DOOMED
In the fractions prompts given, the correct output are:
(1 ÷2) ÷ 4 = 1/8(1 ÷5) ÷ 2 = 1/10(1 ÷3) ÷ 5 = 1/15(1 ÷4) ÷ 4 = 1/16The solution to the problem for (1/2) ÷ 3 is given below.What is a fraction?A fraction represents a part of a whole. It consists of a numerator and a denominator, with the numerator indicating the number of parts and the denominator indicating the total number of parts.
The calculations are given as follows;
1 )
= (1/2) x (1/4) [dividing by a number is the same as multiplying by its reciprocal]
= 1/8
2) (1/5) ÷ 2
= (1/5) x (1/2)
= 1/10
3)
(1/3) ÷ 5
= (1/3) x (1/5)
= 1/15
4) (1/4) ÷ 4
= (1/4) x (1/4)
= 1/16
5) One day, Amy baked a cake and wanted to divide it equally among 3 of her friends. She realized she only had half a cake left, so she decided to divide it into equal parts. Each friend received 1/6 of a cake. To check her calculation, she multiplied 1/6 by 3 and got 1/2. Thus, (1/2) ÷ 3 = 1/6, since dividing by 3 is the same as multiplying by 1/3.
Learn more about Fractions on:
https://brainly.com/question/20323470
#SPJ1
With the information given, can you prove
that this quadrilateral is a parallelogram?
A. Yes
B. No
AB = DC
We cannot prove that the quadrilateral is a parallelogram with only the given information that AB = DC.
What is quadrilateral and parallelogram ?
A quadrilateral is a four-sided polygon, which means it is a closed shape with four straight sides. Some examples of quadrilaterals include rectangles, squares, trapezoids, and rhombuses.
A parallelogram is a special type of quadrilateral where both pairs of opposite sides are parallel. This means that the opposite sides never intersect, and they have the same slope. Additionally, the opposite sides of a parallelogram are congruent (i.e., have the same length), and the opposite angles are also congruent. Some examples of parallelograms include rectangles, squares, and rhombuses.
To prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. Knowing that AB = DC only gives us information about the lengths of the sides, but it doesn't tell us anything about their orientation or whether they are parallel.
We would need additional information, such as the measures of angles or the lengths of other sides, to determine whether the quadrilateral is a parallelogram.
To know more about polygon visit :-
https://brainly.com/question/29425329
#SPJ1
Five percent of my students suffer from a terrible malady called Lazybrain(LB). A blood test detects LB accurately 90% of the time. Yusuke is told that his blood test is positive for LB. Yusuke hopes that this is a "flase positive" and he actually doesn't have LB. i. Draw the tree with all the probabilities. Indicate which branches are false positive, false negative, correct positive, and correct negative.
The tree diagram with probabilities that shows all possible outcomes for Yusuke's situation is mentioned below .
What is tree diagram?A tree diagram is a visual tool used to represent hierarchical structures or relationships.
It consists of a branching structure where each branch represents a different category or possibility, allowing for easy visualization of complex systems or decision-making processes.
LB (+) LB (-)
Test (+) 0.045 (true) 0.055 (false positive)
Test (-) 0.005 (false negative) 0.895 (true negative)
The probabilities are as follows:
0.05 (5%) of the students have LB, and therefore the probability of Yusuke having LB is 0.05.
The blood test detects LB accurately 90% of the time, meaning that the probability of a correct positive test result (i.e., Yusuke has LB and the test detects it) is 0.05 * 0.9 = 0.045.
The probability of a false positive test result (i.e., Yusuke does not have LB but the test detects it) is 0.95 * 0.1 = 0.055.
The probability of a true negative test result (i.e., Yusuke does not have LB and the test does not detect it) is 0.95 * 0.9 = 0.855.
The probability of a false negative test result (i.e., Yusuke has LB but the test does not detect it) is 0.05 * 0.1 = 0.005.
Note that the sum of the probabilities for each possible outcome (i.e., correct positive, false positive, true negative, false negative) should add up to 1.
To know more about probabilities visit:
https://brainly.com/question/28969342
#SPJ1
Yusuke having LB is 0.05. Yusuke has LB, the test detects it is 0.05 * 0.9 = 0.045. Yusuke does not have LB, the test detects it is 0.95*0.1 = 0.055. Yusuke does not have LB , the test does not detect it is 0.95 0.9 =0.855.
What is tree diagram?A tree diagram is a visual tool used to represent hierarchical structures or relationships.
It consists of a branching structure where each branch represents a different category or possibility, allowing for easy visualization of complex systems or decision-making processes.
LB (+) LB (-)
Test (+) 0.045 (true) 0.055 (false positive)
Test (-) 0.005 (false negative) 0.895 (true negative)
The probabilities are as follows:
0.05 (5%) of the students have LB, and therefore the probability of Yusuke having LB is 0.05.
The blood test detects LB accurately 90% of the time, meaning that the probability of a correct positive test result (i.e., Yusuke has LB and the test detects it) is 0.05 * 0.9 = 0.045.
The probability of a false positive test result (i.e., Yusuke does not have LB but the test detects it) is 0.95 * 0.1 = 0.055.
The probability of a true negative test result (i.e., Yusuke does not have LB and the test does not detect it) is 0.95 * 0.9 = 0.855.
The probability of a false negative test result (i.e., Yusuke has LB but the test does not detect it) is 0.05 * 0.1 = 0.005.
Note that the sum of the probabilities for each possible outcome (i.e., correct positive, false positive, true negative, false negative) should add up to 1.
To know more about probabilities visit:
brainly.com/question/28969342
#SPJ1
Find the distance between each pair of points.
a. M= (0,-11) and P=(0,2)
b. A= (0,0) and B= (-3,-4)
c. C= (8,0) and D=(0,-6)
Answer:
To calculate the distance between each pair of points given, we can use the distance formula which is derived from the Pythagorean theorem. The formula is:
distance = square root of [(x2 - x1)^2 + (y2 - y1)^2]
Using this formula, we can calculate the following distances:
a. Distance between M and P = 13 units
b. Distance between A and B = 5 units
c. Distance between C and D = 10 units
give a binary representation for each number given below in hex. drop the leading zeroes in your binary representation. (a) a3 (b) 1fc (c) 2a0b
The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011
In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.
To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.
Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.
Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.
To know more about hexadecimal click on below link:
https://brainly.com/question/30430774#
#SPJ11
A company has hired 12 new employees and must assign eight to the dayshift and four to the night shift and how many ways can the assignment be made ?
There are 495 ways to assign 8 employees to the day shift and 4 employees to the night shift from a group of 12 employees.
How many ways can the company assign eight employees to the dayshift and four employees to the night shift?Given that, we need to find the number of ways to assign 8 employees to the day shift and 4 employees to the night shift from a group of 12 employees.
We can use combinations to solve this problem.
The number of ways to choose 8 employees from 12 for the day shift is:
C(12,8)
= 12! / ( 12 - 8 )! × 8!
= 495
Similarly, the number of ways to choose 4 employees from the remaining 4 for the night shift is:
C(4,4) = 1
= 4! / ( 4 - 4 )! × 4!
= 4!/4!
= 1
Therefore, the total number of ways to make the assignment is:
495 × 1 = 495
Learn about combination here: https://brainly.com/question/31050063
#SPJ1
Terri pays a monthly cell phone fee of $10. She pays 5 cents for each minute that she talks. If Terri does not make any calls, what would her bill be?
Answer:
$10
Step-by-step explanation:
We Know
Terri pays a monthly cell phone fee of $10. She pays 5 cents for each minute that she talks.
Let C be the total cost, and x be the number of minutes she talks; we have the equation.
C = 0.05x + 10
If Terri does not make any calls, what would her bill be?
C = 0.05(0) + 10
C = $10
So, her bill will be $10
) What is the measure of ∠x in the diagram below?
Answer:
Step-by-step explanation:
X+125=180 (angles on a straight line add to 180 (supplementary) ).
so x=55°
Austin has a dimes and y nickels, having at most 28 coins worth a minimum of $2
combined. At least 18 of the coins are dimes and no more than 6 of the coins are
nickels. Solve this system of inequalities graphically and determine one possible
solution.
The solution of system of inequalities solved graphically is (18,6).
What is system of linear inequalities?A group of two or more linear inequalities are graphed together on a coordinate plane to discover the solution that concurrently satisfies all the inequalities. This is known as a system of linear inequalities. The location where all the half-planes overlap is where the system is solved. Each inequality defines a half-plane on the coordinate plane. Every point in this area, which is referred to as the feasible region, fulfils all of the system's inequalities. To identify the optimum solution for an optimization problem given a set of constraints, systems of linear inequalities are frequently utilised.
Let us suppose the number of dimes = a.
Let us suppose the number of nickels = y.
According to the problem we have the following conditions:
a + y ≤ 28 (at most 28 coins)
0.10a + 0.05y ≥ 2 (worth at least $2)
a ≥ 18 (at least 18 dimes)
y ≤ 6 (no more than 6 nickels)
Using different values of a and y plot the points.
The solution of this system of inequality is any point that lies in the feasible region.
One such point is (18, 6).
Hence, the solution of system of inequalities solved graphically is (18,6).
Learn more about inequality here:
https://brainly.com/question/25567240
#SPJ1