Answer:
Based on the definition of an isosceles triangle, the measure of angle L is: 43°
An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.
Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.
If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).
This implies that: m∠M = 43°
In summary, based on the definition of an isosceles triangle, the measure of angle M is: 43°
Emmett made sand art bottles to sell at his school's craft fair. He wanted to use 9 different colors of sand. So, he bought 1 pound of each color. Then, he filled as many 6-ounce bottles as he could. How many sand art bottles did Emmett make?
The number of bottles will be 24 bottles.
How to calculate the value?It should be noted that 1 pound = 16 ounces.
Since he bought 1 pound of each color, the total pounds will be:
= 1 × 9 = 9 pounds.
The number of sand art will be:
= 9 pounds / 6 ounce
= (9 × 16) / 6
= 24 bottles
Learn more about ounce on:
brainly.com/question/14953687
#SPJ1
Describe the slope of the line. Then find the slope (-2,-3) , (3,-3)
\(\sf HELP!\)
\(\sf 17=2x-9\)
Answer:
x=13
Step-by-step explanation:
Switch sides:
2x−9=17
Add 9 to both sides:
2x−9+9=17+9
Simplify
2x=26
Divide both sides by 2:
2x/2 =26/2
Simplify to get the result.
x=13
Answer:
x=13
Step-by-step explanation:
\(\sf 2x-9=17\)
\(\sf 2x-9+9=17+9\)
\(\sf 2x=26\)
\(\sf \cfrac{2x}{2}=\cfrac{26}{2}\)
\(\sf x=13\)
Tien bought movie tickets for herself and two of her friends. She paid $8.50 for each ticket. If Tien has $14.50 left, how much money did she have before she bought the movie tickets
Answer:
$23
Step-by-step explanation:
add:
14.50
+ 8.50
-------------
23.00
hope this helped!
evaluate: 5/6 + 4/9 =___?
Answer:
23/18 or 1 5/18
Step-by-step explanation:
In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).
Equation Given
5/6 + 4/9
Finding LCM
- List down their multiples
The multiples of 6 = 6 12 18 24
The multiples of 9 = 9 18 27 36
Thus, their Least Common Multiple (LCM) is 18
Converting Dissimilar Fraction into Similar Fraction
The LCM is already the denominator
Divide the LCM by its original denominator then multiply by numerator to get the new numerator
5/6
(18 ÷ 6) × 5 = 15/18, new fraction
4/9
(18 ÷ 9) × 4 = 8/18, new fraction
Evaluate
15/18 + 8/18
= 23/18, or
= 1 5/18
Answer:
23/18 or 1 5/18
Step-by-step explanation:
In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).
Equation Given
5/6 + 4/9
Finding LCM
List down their multiples
The multiple of 6
6 12 18 24
The multiple of 9
9 18 27 36
Thus, their Least Common Multiple (LCM) is 18
- Converting Dissimilar Fraction into Similar Fraction
The LCM is already the denominator
Divide the LCM by its original denominator then multiply by numerator to get the new numerator
5/6
(18 ÷ 6) × 5 = 15/18, new fraction
4/9
(18 ÷ 9) × 4 = 8/18, new fraction
- Evaluate
15/18 + 8/18
= 23/18, or
= 1 5/18
students who get help from the professor during office hours are 18x more likely to get an a on the exam than students who do not get help from the professor during office hours. about 11.7% of students get help from the professor during office hours. if you learn that a student got an a on the exam, what are the odds that they got help from the professor during office hours? put your answer in percentage form and round to two decimal places.
The odds that a student who got an A on the exam got help from the professor during office hours is about 41.77%.
To solve this problem, we can use Bayes' theorem, which is a way to calculate conditional probabilities. Let A be the event that a student got an A on the exam, and B be the event that a student got help from the professor during office hours.
We want to find P(B|A), the probability that a student got help from the professor during office hours given that they got an A on the exam.
Bayes' theorem states that:
P(B|A) = P(A|B) * P(B) / P(A)
We are given that students who get help from the professor during office hours are 18 times more likely to get an A on the exam than students who do not get help, so:
P(A|B) = 18 * P(A|B')
where B' is the complement of B (i.e., not getting help from the professor during office hours).
We are also given that about 11.7% of students get help from the professor during office hours, so:
P(B) = 0.117
We can calculate P(A) by using the law of total probability:
P(A) = P(A|B) * P(B) + P(A|B') * P(B')
Since P(B') = 1 - P(B), we have:
P(A) = 18 * P(A|B') * 0.883 + P(A|B) * 0.117
Now we can plug in the values we have and solve for P(B|A):
P(B|A) = (18 * P(A|B') * P(B)) / (18 * P(A|B') * 0.883 + P(A|B) * 0.117)
Using a calculator, we can find that P(B|A) is approximately 41.77%.
In other words, if we randomly select a student who got an A on the exam, there is a 41.77% chance that they got help from the professor during office hours.
To learn more about probability click on,
https://brainly.com/question/31682849
#SPJ4
Use the information shown in the line plot.
How many fruit baskets weigh more than
4
1
2
412
pounds and less than
6
pounds?
Enter your answer in the box.
_____fruit baskets
Answer:
8.
Step-by-step explanation:
5 and 5 1/2 are the only fractions between 4 and 6. There are 4 dots above each, and 4 x 2 = 8. (I know the amount of dots because I had this question.)
There are two baskets that weigh more than 4 but less than 6.
The weights of fruit baskets are:
4, 1, 2, 5, 5(1/2), 6
What is weight?Weight is the quantity of matter in a physical body.
We can see that fruit baskets that weigh more than 4 pounds but less than 6 pounds are ones with weights of 5 pounds and 5(1/2) pounds.
So, there are two baskets that weigh more than 4 but less than 6.
Thus, there are two baskets that weigh more than 4 but less than 6.
To get more about weight visit:
https://brainly.com/question/2337612
For his exercise today, bill plans to run and swim some laps. The table below shows how long ( in minutes) it takes him to run each lap and swim to each lap
The inequality describing this problem is given as follows:
4r + 2s > 30.
How to define the inequality?The variables for this problem are given as follows:
Variable r: number of laps run.Variable s: number of laps swam.Bill will practice for more than 30 minutes, hence the inequality is given as follows:
4r + 2s > 30.
(the sign > is used as the sign is the more than symbol in inequality).
As we have more than and not at least in the sentence, the symbol used does not contain the equal sign, meaning that the interval is open.
Missing InformationThe problem is given by the image presented at the end of the answer.
More can be learned about inequalities at brainly.com/question/25275758
#SPJ1
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x+6y=9
-4x+24y=48
Answer:
no solution
Step-by-step explanation:
- x + 6y = 9 → (1)
- 4x + 24y = 48 → (2)
multiplying (1) by - 4 and adding to (2) will eliminate x and y
4x - 24y = - 36 → (3)
add (2) and (3) term by term
0 + 0 = 12
0 = 12 ← false statement
this false statement indicates the system has no solution
Determine the length of AB. Write your answer in simplest form.
By using the definition of similarity between triangles and algebraic properties, the length of the segment AB of the system is equal to 4 units.
How to determine the length of the segment AB
In this problem we have two similar triangles and we need first to determine the lengths of segments AC and BC and then subtract the length of the latter from the length of the former, that is:
AC/BC = CE/CD
AC/2 = 15/5
AC = 6
AB = AC - BC
AB = 6 - 2
AB = 4
By using the definition of similarity between triangles and algebraic properties, the length of the segment AB of the system is equal to 4 units.
To learn more on similar triangles: https://brainly.com/question/25882965
#SPJ1
Which of the following is equivalent to the expression shown (0.2x-1)+(0.3-0.01x)
Answer:
0.07x - 0.002x^2 - 0.3
Step-by-step explanation:
Given the expression shown (0.2x-1)+(0.3-0.01x)
Expand
(0.2x-1)+(0.3-0.01x)
= 0.2x(0.3) - 0.2x(0.01x)-1(0.3) + 1(0.01x)
= 0.06x - 0.002x^2 - 0.3 + 0.01x
= 0.06x+0.01x - 0.002x^2 - 0.3
= 0.07x - 0.002x^2 - 0.3
This gives the required expression
1 - 2³ - 3² 1 please answer correctly please
Answer:
-16
Step-by-step explanation:
1 - 8 - 9 = - 16
Mr. Keller bought 5 electronic games. The games range from $25. 00 to $65. 00 for each game. What is a reasonable estimate of the amount he paid for the games?
between $25 and 565
between $70 and $120
between $165 and $285
between $290 and $370
The cost of 5 electronic games falls between $165 and $285.
Mr. Keller bought 5 electronic games, and the games range from $25 to $65 for each game.
We need to find a reasonable estimate of the amount he paid for the games.
Let's find the average value of the games. Add up the cost of each game and divide by the number of games:
The amount for 5 games = (25 + 30 + 35 + 55 + 65) dollar
Amount for 5 games = 240 dollars
Therefore, we can say that the reasonable estimate of the amount he paid for the games is between $165 and $285 dollars. This is because the cost of 5 electronic games falls in between the given values. Hence, option (c) between $165 and $285 is the correct answer.
Option (c) is the correct option: between $165 and $285.
To learn more about cost click on the given link:
https://brainly.com/question/25109150
#SPJ11
consider randomly selecting a student at a large university, and let a be the event that the selected student has a visa card and b be the analogous event for mastercard. suppose that
It is not possible that the intersection case is P(A B)=0.5 .
What is intersection?The set of all objects that are members of both sets A and B is represented by the intersection of the two sets A and B, abbreviated as A∩B.
If there is any element x that is an element of both A and B, then we can also say that A intersects (meets) B at x. If A∩B is an inhabited set, which means that there must be some x such that x∈A∩B exists, then A intersects B equivalently.
If A does not intersect B, then A and B are said to be disjoint. They share no elements, to put it simply. If the intersection of A and B contains nothing—A∩B=Ф—then A and B are disjoint.
Explanation:
The likelihood of occurring of an event is called probability.
Consider two events A and B are occurred with probabilities P(A) and P(B) respectively.
The probability that both the events occurs is,
P(A and B)=P(A∩B)
When both the events are independent,
P(A and B)=P(AB) = P(A)x P(B)
The probability that either A or B occurs is,
P(A or B)= P(AUB) = P(A)+P(B)-P(A∩B)
When both the events are mutually exclusive the probability that either A or B occurs is,
P(A or B)=P(AUB) = P(A)+P(B)
The compliment of the probability is,
P(A)=1-P(A)
The conditional probability of occurring of an event A when it is given that B had already occurred is,
P(A|B)=P(A∩B)/P(B)
Let A represent the situation where the chosen person has a Visa credit card and B represent the situation where they have a Master card. The probability of occurring event A is 0.6 and the probability of occurring event B is 0.4 that is, P(A)=0.6, P(B)=0.4 .
It is known that P(A B)∠P(A) and P(A B)∠P(B) . So, it is not possible that the intersection case, P(A B)=0.5 .
To learn more about intersection ,visit:
https://brainly.com/question/14217061
#SPJ4
Christi is doing her math homework. To receive full credit, she must answer this question: What key features are necessary-and how are the features used-to create the sketch of a polynomial function
The polynomial function are \(x^{2}\) and \(\frac{1}{x}\).
What is a polynomial function?A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Christi should know the "zeros" of the polynomial function for sketching the graph of it (where the graph intersects with the x an y - axises, (if it does). Also, she needs to know the vertical and horizontal stretches/shrinks for that. Finally, she should know the basic function of the polynomial function such as , \(x^{2}\) and \(\frac{1}{x}\) , etc.
To learn more about Polynomial function from the given link:
https://brainly.com/question/850322
#SPJ4
Determine whether y varies directly with x . If so, find the constant of variation.
y=4 x+1
The required value of constant of variation, k does not exist for which x and y vary directly.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of constant of variation
When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion —-- 1
Given relation is y = 4x + 1
On comparing it with equation 1, we get, that y does not vary directly with x
Hence, the required value of constant of variation does not exist.
To learn more about the constant of proportion, visit the link:
https://brainly.com/question/24868934
#SPJ4
A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.
$
Answer:
Your answer is: X = 11
Your equation: 7x+30=90
If you subtract 7 from 90 you get 77.
If you divide 77 and 7 you get 11.
Step-by-step explanation:
Hope this helped : )
draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form
Answer:
-1/5
Step-by-step explanation:
Rise/Run = 1 /5
Its negative because the run is going left instead of right
Round to the nearest 10th
Answer:
30
Step-by-step explanation:
Well I hope this helps Have a good day! :)
why are employees today in the transportation and shipping industry required to know advanced math?
Employees in the transportation and shipping industry today are required to know advanced math for several reasons. Here are some of the most important ones:
1. Efficiency: In the transportation and shipping industry, time is money. To maximize efficiency, workers need to be able to calculate distances, speeds, and travel times accurately.
This requires a solid understanding of advanced math concepts such as algebra, calculus, and trigonometry.
2. Safety: Transporting goods and people comes with risks. To ensure safety, employees need to understand the physics of motion, forces, and momentum.
This requires knowledge of advanced math concepts such as vectors, kinematics, and dynamics.
3. Technology: The transportation and shipping industry is becoming increasingly automated and technology-driven. Employees need to be able to understand and use complex algorithms, statistical models, and data analysis tools.
This requires advanced math skills such as statistics, probability theory, and linear algebra.
4. Regulations: The transportation and shipping industry is subject to a wide range of regulations, including safety standards, environmental laws, and trade policies.
Compliance with these regulations often requires complex calculations and data analysis. Advanced math skills are essential for navigating this regulatory landscape.
In summary, advanced math skills are essential for employees in the transportation and shipping industry to ensure efficiency, safety, technology adoption, and compliance with regulations.
To know more about advanced math refer here:
https://brainly.com/question/31350737#
#SPJ11
Graph of y = log(-x)?
Answer:
lklklkj
Step-by-step explanation:
67890-
using a rulers and a pair of compasses only contruct a triangle pqr such that pq is 7.5cm and qr is 6.1cm if pqr is 45 degree measure pr
Using a ruler and compasses, draw PQ (7.5cm), locate R using a 6.1cm radius from P, then connect PR. To measure ∠PQR, use a protractor with Q as the center.
To construct triangle PQR with sides PQ = 7.5 cm, QR = 6.1 cm, and ∠PQR = 45 degrees, follow these steps:
1. Draw a line segment PQ of length 7.5 cm using a ruler.
2. Place the compass at point P and draw an arc with a radius of 6.1 cm to intersect PQ. Label this point of intersection as R.
3. Set the compass to a radius of 7.5 cm and draw an arc with center Q.
4. Without changing the compass width, draw another arc with center R to intersect the previous arc. Label this point of intersection as P.
5. Connect points P and Q with a straight line segment to complete triangle PQR.
6. To measure the angle ∠PQR, use a protractor and place it on line segment QR such that the center of the protractor aligns with point Q. Then measure a 45-degree angle starting from the line segment QR and mark the point of intersection on line segment PQ. Label this point as S.
7. Connect points P and S to form the line segment PS.
8. Measure the length of line segment PS using a ruler.
For more such questions on compasses, click on:
https://brainly.com/question/30661844
#SPJ8
Is this correct? If not then whats the answer?????
(image below)
If measure of AC= 50 degrees, then…
1) How many degrees measures the central angle O?
2) How many degrees measures the inscribed angle B?
1) Because \(\angle AOC\) is a central angle, the answer is 50 degrees.
2) By the inscribed angle theorem, the answer is 25 degrees.
suppose you pick 1 card out of 52 cards of a standard deck. find the probability of picking each kinds of card
The probability of picking each kind of card is 1/4 or 0.25.
There are four kinds of cards in a standard deck of 52 cards: hearts, diamonds, clubs, and spades. Each kind has 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King).
To find the probability of picking a card of each kind, we can use the following formula:
Probability = Number of favorable outcomes / Total number of outcomes
Probability of picking a heart:
There are 13 hearts in the deck, so the number of favorable outcomes is 13. The total number of outcomes is 52, since there are 52 cards in the deck. Therefore, the probability of picking a heart is:
Probability of picking a heart = 13/52
Probability of picking a heart = 1/4
Probability of picking a diamond:
There are 13 diamonds in the deck, so the number of favorable outcomes is 13. The total number of outcomes is still 52, since we haven't replaced the card that we picked earlier. Therefore, the probability of picking a diamond is:
Probability of picking a diamond = 13/52
Probability of picking a diamond = 1/4
Probability of picking a club:
There are 13 clubs in the deck, so the number of favorable outcomes is 13. The total number of outcomes is still 52. Therefore, the probability of picking a club is:
Probability of picking a club = 13/52
Probability of picking a club = 1/4
Probability of picking a spade:
There are 13 spades in the deck, so the number of favorable outcomes is 13. The total number of outcomes is still 52. Therefore, the probability of picking a spade is:
Probability of picking a spade = 13/52
Probability of picking a spade = 1/4
To learn more about the probability;
brainly.com/question/11234923
#SPJ1
What is the total surface area of a triangular prism.
3 (hight) × 8 (base) = 24
24 ÷ 2 = 12 (area of triangle)
12 × 2 = 24 (because there are 2 triangles)
5 × 7 = 35 (because length times width)
35 × 2 = 70 (because there are 2 rectangles)
8 × 7 = 56 (because of the base)
ANSWER24 + 12 + 24 + 35 + 70 + 56 = 221
veronica get a haircut. the basic haircut is $ 25. the sales tax is 8%. then, she adds 15% tip to the base price of the hair cut. how much does she spend all together?
10. The product of two numbers is -30. The sum of the two numbers is 13. Find
the two numbers.
Answer:
1) 2 × (-15) = -30
It could be 1+12 2+11 3+10 4+9 5+8 6+7 any of those
The reliability factor table provides factors for as many as
three computations when planning and evaluating the results of a
PPS sample. Describe in general terms each of these
computations
The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.
Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.
The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.
The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.
know more about reliability here
https://brainly.com/question/32178729#
#SPJ11
A line has a slope of -8 and passes through the point (-2, -3/2).By substituting into the equation y = mx + b, find the value of b for this line.
The value of b is -35/2.
What is the slope?
The slope of a line is determined by taking the tangent of the angle it forms with the x-axis. The slope of a straight line remains constant over time. The slope of a line sometimes called its gradient is a numerical representation of the steepness and direction of the line.
Here, we have
Given: A line has a slope of -8 and passes through the point (-2, -3/2).
We have to find the value of b.
slope = -8 and point (-2, -3/2).
equation: y = mx + b
Putting all values in the given equation and we get
-3/2 = -8(-2) + b
-3/2 = 16 + b
b = -3/2 - 16
b = -35/2
y = -8x - 35/2
Hence, the value of b is -35/2.
To learn more about the slope from the given link
https://brainly.com/question/3493733
#SPJ1