Answer: 74°
Step-by-step explanation:
\($$ Using the Law of Cosines: $$\begin{aligned} \text { Given, } a &=15 f t, \ b=13 f t, \ c=17 f t \\c^{2} &=a^{2}+b^{2}-2 a b \cos C \\(17)^{2} &=(15)^{2}+(13)^{2}-2(15)(13) \cos C \\289 &=225+169-390 \cos C \\390 \cos C &=225+169-289 \\\cos C &=\frac{225+169-289}{390} \\\cos C &=\frac{105}{390} \\\cos C & \approx 0.26923 \\C & \approx \cos (0.26923) \\C & \approx 74^{\circ}\end{aligned}$$\)
Justin and Eric came home from school on Friday and found a freshly baked cherry pie. Justin ate 2/3 of a pie and Eric ate 1/4 of the pie. How much of the pie was left after they finished eating?
Answer:
1/12
Step-by-step explanation:
if Nandi and thabo share R15,00 in the ratio 1:2 how many rands does each get
Answer:
\(\boxed{\textsf{ The amount shared by Nandi is \textbf{ Rs 500. }.}}\)
\(\boxed{\textsf{ The amount shared by Thabo is \textbf{ Rs 1,000. }.}}\)
Step-by-step explanation:
Given that Nandini and Thabo share Rs 1500 in the ratio 1:2 . And we need to find how much each gets . So lets take the given ratio be 1x :2x . Now here we can find the share of both as ,
\(\qquad\boxed{\boxed{\sf Share =\dfrac{ Ratio \ number }{Sum \ of\ ratio\ nos. }\times Amount }}\)
Hence here the sum of ratio numbers would be 1+2 = 3 . Here the ratio number of Nandi is 1 and that of Thaboo is 2 . So ,
Share of Nandi :-
\(\sf\implies Share =\dfrac{ Ratio \ number }{Sum\ of\ ratio\ nos. }\times Amount \\\\\sf\implies Share_{(Nandi)}= \dfrac{1}{1+2}\times Rs\ 1,500 \\\\\sf\implies Share_{(Nandi)}= \dfrac{1}{3}\times Rs\ 1,500 \\\\\sf\implies \boxed{\pink{\frak{ Share_{(Nandi)}= Rs\ 500 }}}\)
\(\rule{200}2\)
Share of Thabo :-
\(\sf\implies Share =\dfrac{ Ratio \ number }{Sum\ of\ ratio\ nos. }\times Amount \\\\\sf\implies Share_{(Thabo)}= \dfrac{2}{1+2}\times Rs\ 1,500 \\\\\sf\implies Share_{(Thabo)}= \dfrac{2}{3}\times Rs\ 1,500 \\\\\sf\implies \boxed{\pink{\frak{ Share_{(Thabo)}= Rs\ 1,000 }}}\)
write an expression that replaces the heights of the tallest mountain in each continent with the values 8850, 6963, and 6192.
The expression that replaces the heights of the tallest mountain in each continent with the values 8850, 6963, and 6192 is a table with three rows and two columns, containing the continent and its corresponding mountain height in meters.
To replace the heights of the tallest mountain in each continent with the values 8850, 6963, and 6192, an expression is required that can facilitate this transformation.
Which provides a flexible and powerful way to create dynamic web pages.
Language and is used to create web pages that can be displayed on the internet.
To replace the heights of the tallest mountain in each continent with the values 8850, 6963, and 6192, the following expression can be used:
Continent Tallest Mountain Africa 8850 Antarctica 6963 Asia 6192
Here, a table is used to store the data for each continent and its tallest mountain.
The tag is used to indicate the start of the table, and the tag is used to indicate the start of a row.
The tag is used to indicate the header row, while the tag is used to indicate a data cell.
The data is then entered into the table using the appropriate tags to create the desired layout.
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The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17. The passing score was 111 or higher. Use the z-table to answer the question.
What percent of students passed the midterm?a. 10%
b. 50%
c. 70%
d. 62%
The percentage of students passing the partial exam is:
Option c. 70%
What is the percentage of students passing the partial exam?To answer this question, we use the Z-table. We have:
Given, mean (μ) = 120 and standard deviation (σ) = 17
Passing Score = 111
To find out what percentage of students passed the midterm, we need to find the probability that a score picked at random from the distribution is greater than or equal to 111. We can convert this score into a standard score (Z-score) using the Z-table. We have:
Z-score = (111 - μ) / σ
= (111 - 120) / 17
= -0.53
Using the Z-table, we can find the area (probability) to the left of this Z-score as follows:
Area to the left of Z-score = 0.2981 (from Z-table)
The area to the right of this Z-score (i.e. the probability that a score picked at random from the distribution is greater than or equal to 111) is:
Area to the right of Z-score = 1 - 0.2981
= 0.7019
= 70.19%
Therefore, the percentage of students who passed the midterm is approximately 70% (Option C).
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Answer:
C. 70%
Step-by-step explanation:
The probability of choosing a green grape out of the bag that contains red and green grapes without looking is StartFraction 11 over 15 EndFraction. Which term best describes this probability?
impossible
unlikely
likely
certain
Answer:
likley
Step-by-step explanation: edge 2021 on the quiz for me its question 6
Answer:
C. likely
Step-by-step explanation:
It is likely because if the bag holds red and green grapes then its not impossible to get a green grape because there are green grapes in the bag. It is not unlikly because there are 11/15 green grapes there, so there are more green grapes than red. But its still not certain that you will get a green grape, remember there are still quite a few red grapes too! So you would likely get a green grape.
I hope this helps!
the code below a: { int a = 1; b:{ int b = 2; int c = 2; c: { int c = 3; int d; d = a b c; write(d); } d: { int e; e = a b c; write(e); } } } variable c in block d has the value
The value of variable c in block d is 2.
In the given code, there are multiple nested blocks with variables a, b, c, and d. The variable c appears in two different scopes: one within block b and another within block c.
When the code reaches the innermost block c, a new variable c is declared with a value of 3. This innermost c variable shadows the outer c variable, which has a value of 2 in block b.
Inside the innermost block c, the value of d is assigned as the concatenation of variables a, b, and c, which are all in the current scope and have values 1, 2, and 3 respectively. Therefore, the value of d is 1 2 3.
In block d, another variable e is declared and assigned the concatenation of variables a, b, and c, which are still in the current scope and have the same values. Hence, the value of e is also 1 2 3.
In summary, the value of variable c in block d is 2, not 3.
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Please help me with this ASAP!!
Find the probability that a randomly selected point within the circle falls in the white area.
Round to the nearest tenth of a percent.
r=4cm
Probability that a randomly selected point falls in the white area is; 84.1%
How to find the probability?The formula for area of a circle is;
A = πr²
where r is radius.
Thus;
A_circle = π * 4² = 50.265 cm²
Now, formula for area of triangle is;
A_tria = ¹/₂ * base * height
A_tria = ¹/₂ * 4 * 4 = 8 cm²
Thus;
Area of white portion = 50.265 cm² - 8 cm²
Area of white portion = 42.265 cm²
Thus;
Probability that a randomly selected point falls in the white area is;
P(White area) = 42.265/50.265 = 0.8408
= 84.1%
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Bella is watching a baseball game. So far, 4 out of 22 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
The required experimental probability that the next batter will get a hit is 2/11.
What is Probability?A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.
According to question:The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.
In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:
P(hit) = Number of hits / Total number of batters
P(hit) = 4/22
Simplifying:
P(hit) = 2/11
Therefore, the experimental probability that the next batter will get a hit is 2/11.
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A pair of shoes costs $(4x² - 9) and a bag costs $(2x² - 3x + 5). Find the total cost of five such pairs of shoes and four of the bags, in terms of x.
Five pairs of shoes = 5(4x² - 9) = 20x² - 45.
Four bags = 4(2x² - 3x + 5) = 8x² - 12x + 20
-> Total cost = 20x² - 45 + 8x² - 12x + 20 = 28x² - 12x - 25.
PLEASE ANSWER THIS!!! IF DO, YOU ARE SMART!
Answer:
33.64
Step-by-step explanation:
Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was 2.5, and the standard deviation was 0.5. What is the margin of error, assuming a 95% confidence level
The margin of error is ±0.1706
What is the margin of error?The margin of error is a statistical solution for the amount of random sampling error in the survey results.
What is 95% of a confidence level?The 95% confidence interval means from 100 different samples computing a 95% of confidence for each sample. From this, we get the approximate value 95 of the 100 confidence intervals will contain the true mean value.
We have a sample size of n=33
The critical value of the significance level is \(\alpha =0.05\\z_{\frac{\alpha }{2} }=1.96\)
Then our sample mean will be 2.5
then the standard deviation is 0.5
from this, we can assume that this is a normal distribution.
then our margin of error will be
\(E=\)±\(z_{\frac{\alpha }{2} }\frac{deviation}{\sqrt{n} }\)
⇒\(E=\)±\((1.96)\frac{0.5}{\sqrt{33} }\\\)
≅±0.1706 is the margin of error.
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Help!!! The one marked red is wrong
Answer:
4x+5
Step-by-step explanation:
10x + 7 - 6x - 2
4x +5
hope this helps
Answer: no I think the correct answer is 4x+5
Step-by-step explanation:
the concept of hedonistic calculus is associated with
The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.
Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.
According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.
By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.
Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.
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A rectangular prim mut have a bae with an area of no more than 27 quare meter. The width of the bae mut be 9 meter le than the height of the prim. The length of the bae mut be 6 meter more than the width of the bae. Find the maximum height of the prim. Let x = the height of the prim
x – 9 =
The rectangular prism will have a maximum height of prism is 12m and inequality is \(x^{2} -12x+0\leq 0\)
a) To find maximum height of prism
As per question,
x = height of prism
Area of rectangular base = Length x Width
Thus, A = \(\leq 27\)
Now,
L x W \(\leq 27\) (inequality Z)
Given, W = x - 9 (equation 1)
L = W + 6 (equation 2)
Substituting equation 1 in equation 2
We get, L = (x-9)+6
= x-3 (equation 3)
Substituting, equation 1 and equation 3 in the inequality Z
we get, \((x-3)(x-9) = x^{2} -12x+27\)
subtracting 27 we get \(x^{2} -12x+0\leq 0\)
Thus, the coordinates will be (0,12)
As given in question, width of base must be 9 meters less than height of prism. Therefore,
The solution of x interval comes out as (9,12)
Hence, the height of prism is 12m
b) selecting inequality that represents problem
Length = x-3
Width = x-9
Multiplying, we get \((x-3)(x-9) = x^{2} -12x+27\)
Area will come out as \(\leq 27\)
The final expression will be, \(x^{2}-12x+27\leq 27\)
Now subtracting 27 from the expression we get,
\(x^{2} -12x+0\leq 0\)
Note that the full question is:
A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less than the height of the prism. The length of the base must be 6 meters more than the width of the base. Find the maximum height of the prism.
Let x = the height of the prism
x – 9 = the width of the base
A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less than the height of the prism. The length of the base must be 6 meters more than the width of the base. Find the maximum height of the prism.
Let x = the height of the prism
x – 9 = the width of the base
x -3 = the length of the prism
Select the inequality that represents the problem.
x2 – 3 x – 81 ≤ 0
x2 – 3 x – 27 ≤ 0
x2 – 12 x – 27 ≤ 0
x2 – 12 x ≤ 0
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Evaluate: ab for a = 2 and b = 5
please mark this answer as brainlist
In this game your hypothesis is that underage drinking is going on at the party. Time is short, the police are on their way! Picking unnecessary people to check wastes time. Who do you need to check before the authorities raid the place?
Step-by-step explanation:
If there is a hypothesis that underage drinking is occurring at a party and time is limited before the authorities arrive, it would be important to focus on individuals who are more likely to be underage and involved in drinking activities. While I cannot provide real-time information about a specific party, I can offer you some general guidelines on who to prioritize checking:
Young-looking individuals: Pay attention to those who appear to be younger in age, as they might be more likely to be underage.
Behavioral indicators: Observe individuals who exhibit behaviors commonly associated with underage drinking, such as stumbling, slurred speech, or odor of alcohol.
Observation of alcohol: Look for people holding or consuming alcoholic beverages. However, keep in mind that this alone does not necessarily confirm their age, as some young-looking individuals might be of legal drinking age.
Peer groups: Focus on clusters of individuals who seem to be socializing together. It's possible that underage individuals might be in the same group as older attendees.
Remember, it is crucial to approach the situation respectfully and avoid making assumptions solely based on appearances. Checking IDs or verifying ages discreetly can help determine whether someone is underage or legally allowed to consume alcohol.
Write an equation of the line passing through the points (3,5) and (-1,-11).
The equation of the line is__
Answer: y=4x-7
Step-by-step explanation:
Graphing Calculator on top
Solve for m.
m − 10 + 6m = 10 + 2m
m =
Answer:
m = 4
Step-by-step explanation:
m−10+6m=10+2m
7m-10=10+2m
Subtract 2m from both sides
5m-10=10
Add 10 to both sides
5m=20
Divide both sides by 5
m=4
Answer:
m=4
Step-by-step explanation:
m − 10 + 6m = 10 + 2m
7m - 10 = 10 + 2m (subtract 2m from both sides)
7m - 10 - 2m = 10
5m - 10 = 10 (add 10 to both sides)
5m = 10 + 10
5m = 20 (divide both sides by 5)
m = 20/5
m = 4
HELp Giving out brainlest and more points
Answer:
A
Step-by-step explanation:
Answer should be A
Powers multiply so
2*3=6
4*3= 12
(8^6)/(4^12)
Answer:
\(\frac{8^6}{4^{12}}\) A)
Step-by-step explanation:
\((\frac{8^2}{4^4} )^3\\\\\frac{8^6}{4^{12}}\)
Exponent:
2 * 3 = 6
4 * 3 = 12
1. Laura earns $115 a month babysitting. If she saves all of the
money she earns in June and July and uses it to buy a bicycle
that cost $158, how much money will she have left?
A. $230,00
B. $43.00
C. $60.00
D. $72.00
A
B
OC
Answer:
Laura will have exactly $72.00 after purchasing the bicycle.
Step-by-step explanation:
We are given that Laura ends $115 per month of babysitting.
We also learn that she wants to save her money from June and July, which means she wants to save her money over a period of two months.
Therefore, she will earn $115 twice.
\(\displaystyle{\$115 \times 2 = \$230}\)
Then, she wants to purchase a bicycle that costs $158, so we need to subtract the cost of the bicycle from her total earnings.
\(\$230 - \$158 = \$72\)
Therefore, Laura will have exactly $72.00 remaining after her purchase.
PLEASE HELP ASAP IT'S REALLY IMPORTANT!!!
Answer:
why
Step-by-step explanation:
I thought something happened to you why did u never come back,why just ghost me of all people not only once but twice
Identify the graph of the linear equation 2x + 2y - z=-4 in three dimensional space.
The answer is option C
The points graph must be a solution to the equation. Then, in graph C, we have three points:
(0 , -2, 0)
(-2, 0, 0)
(0, 0, 4)
Now let's try each in the equation:
\(\begin{gathered} \mleft(0,2,0\mright)\Rightarrow2\cdot0+2(-2)-0=-4 \\ -4=-4 \end{gathered}\)\(\begin{gathered} \mleft(-2,0,0\mright)\Rightarrow2\cdot(-2)+2\cdot0-0=-4 \\ -4=-4 \end{gathered}\)\(\begin{gathered} (0,0,4)\Rightarrow2\cdot0+2\cdot0-4=-4 \\ -4=-4 \end{gathered}\)
Suppose a golf club company has designed a new club, which it claims will allow a professional golfer to make a hole in 120% of the time and an amateur golfer 10% of the time. Professional an amateur golfers sign up to play 5 games of 18 holes each
A professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6.
First, let's define some variables to represent the probabilities of making a hole for a professional golfer and an amateur golfer:
Let p be the probability that a professional golfer makes a hole with the new club.
Let q be the probability that an amateur golfer makes a hole with the new club.
According to the company's claims, we know that:
p = 1.2q (since the professional golfer makes a hole 120% of the time, which is 1.2 times the probability of the amateur golfer making a hole)
Next, we need to determine the probability of each golfer making a hole during one round of golf, which consists of 18 holes. Let's assume that each hole is independent of the others, meaning that the outcome of one hole does not affect the outcome of another. In that case, the probability of making at least one hole in a round can be calculated using the complement rule:
The probability that a professional golfer makes at least one hole in a round is 1 minus the probability that the golfer misses every hole: \(1 - (1-p)^{18} .\)
The probability that an amateur golfer makes at least one hole in a round is\(1 - (1-q)^{18} .\)
Now, let's use these probabilities to calculate the expected number of holes each golfer will make in 5 rounds of golf:
The expected number of holes made by a professional golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-p)^{18} )\times18.\)
The expected number of holes made by an amateur golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-q)^{18} )\times18.\)
We can simplify these expressions using the relationship between p and q:
The expected number of holes made by a professional golfer in 5 rounds is \(518(1 - (1-1.2q)^{18} ).\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ).\)
We can now evaluate these expressions using the values of p and q:
\(p = 1.2q, so q = p/1.2\)
Substituting this into the expressions above, we get:
The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2(p/1.2))^{18} ) = 518(1 - (1-p)^{18} ).\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-p/1.2)^{18} ).\)
Finally, we can evaluate these expressions using the given probabilities:
The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2q)^{18} ) = 518(1 - (1-1.2(0.1))^{18} ) = 40.7.\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ) = 518(1 - (1-0.1/1.2)^{18} ) = 1.6.\)
So according to these calculations, we would expect a professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6
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what is 9.7 as a fraction ?
Answer:
Step-by-step explanation:
9.7 = \(\frac{97}{10}\)
Count the number of places in the decimal number after the decimal point.
Here , there is only one place.
So, multiply and divide by 10. 9.7 *10/1*10 = 97/10
find a · b. |a| = 40, |b| = 30, the angle between a and b is 3 4 .
To find the dot product, we substitute the given values into the formula:
a · b = 40 * 30 * cos(34°)
Calculating the cosine of 34 degrees (cos(34°)), we find its value to be approximately 0.829.
Substituting this value into the equation, we get:
a · b ≈ 40 * 30 * 0.829 = 993.6
Therefore, the dot product of vectors a and b is approximately 993.6.
The dot product of two vectors represents the extent to which they align with each other. In this case, we have two vectors, a and b, with magnitudes of 40 and 30, respectively, and an angle of 34 degrees between them. The dot product formula involves multiplying the magnitudes of the vectors and the cosine of the angle between them. By substituting the given values into the equation, we find that the dot product of a and b is approximately 993.6. This value indicates that the vectors have a moderate alignment, as the dot product is positive and greater than zero.
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Elizabeth her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?
Help me please
Answer:
29.11
Step-by-step explanation:
HELP PLEASE!! WILL GIVE BRAINLIEST!!!
Answer:
The slope will be y=-20/8x +17.5
Step-by-step explanation:
I hope this Helped
Complete the following statement. Use the integers that are closest to the number in the middle.
? < 90 < ?
The integers that are closest to the number in the middle will be 89 < 90 < 91.
What is an integer?It should be noted that an integer simply means a whole number that can be positive, negative, or zero.
It should be noted that on this case, we have to look for the numbers that are closest to 90 one has to be less than 90 and the other one should be greater than it.
Therefore, the numbers that fits the information will be 89 and 91.
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of the travelers arriving at a small airport, 70% fly on major airlines and 30% fly on privately owned planes. of those traveling on major airlines, 50% are traveling for business reasons, whereas 70% of those arriving on private planes are traveling for business reasons. suppose that we randomly select one person arriving at this airport. what the is the probability that the person (a) is traveling on business? (b) is traveling for business on a privately owned plane? (c) arrived on a privately owned plane, given that the person is traveling for business reasons?
The probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons, is approximately 0.54.
(a) The probability that the person is traveling on business is 0.7(0.5) + 0.3(0.7) = 0.56.
(b) The probability that the person is traveling for business on a privately owned plane is 0.3(0.7) = 0.21.
(c) The probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons, is given by Bayes' theorem as:
P(private plane | business) = P(business | private plane) * P(private plane) / P(business)
= (0.7 * 0.3) / (0.7 * 0.5 + 0.3 * 0.7) = 0.3 / 0.56 ≈ 0.54.
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consider the titration of a 23.0-mlml sample of 0.185 mm ch3nh2ch3nh2 (kb=4.4×10−4)(kb=4.4×10−4) with 0.150 mm hbrhbr.
To fully analyze the titration, additional information is needed, such as the balanced chemical equation and the stoichiometry of the reaction between CH3NH2 and HBr. The titration involves a 23.0 mL sample of 0.185 M CH3NH2 with 0.150 M HBr. Further information is required to provide a detailed answer.
To fully analyze the titration, additional information is needed, such as the balanced chemical equation and the stoichiometry of the reaction between CH3NH2 and HBr. With this information, it would be possible to determine the molar ratio between the reactants and calculate the amount of HBr needed to completely react with the CH3NH2.
The titration process involves adding the HBr solution gradually to the CH3NH2 solution until the equivalence point is reached. The equivalence point is the point at which stoichiometrically equivalent amounts of the acid (HBr) and base (CH3NH2) have reacted. The volume of HBr solution required to reach the equivalence point can be determined by performing a titration curve or using mathematical calculations based on the known concentrations and volumes.
Once the equivalence point is determined, various parameters can be analyzed, such as the pH at the equivalence point, the amount of excess acid or base, and the determination of the Ka or Kb value. However, without the specific details mentioned earlier, it is not possible to provide a more detailed explanation of the titration process and its results.
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