The distance of the end of the trip from the starting point is 193.1321 km.
The ship goes 180 kilometers on bearing after 70 km of subsequent journey.
The starting point in this case is A, and the ending point is C.
We now discover distance AC:
As we can see, a right-angled triangle results.
The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two sides that make up the right angle is equal to the square of the hypotenuse. This can be expressed mathematically as a^2 + b^2 = c^2, where a and b are the two sides that make up the right angle, and c is the hypotenuse.
Use Pythagoras's principle.
c = √a² + b²
The distance in the Hypotenuse in our case is now.
c = √(70)² + (180)²
c = √4900 + 32400
c = √37,300
c = 193.1321 km
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The complete question is:
A ship travels 70 km on a bearing of 27 degrees, and then travels on a bearing of 147 degrees for 180 km. Find the distance of the end of the trip from the starting point.
where is the water table in a swamp? group of answer choices well below the surface. at the surface. well above the surface. generally, 2 miles below the surface.
Generally, the water table in a swamp is located 2 miles below the surface.
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Jarvis and his family are at the dine-in movies and wish to purchase some popcom. A large popcom costs $18 and a small popcom costs $12. Jarvis offered to pay for the popcom with $50 in his wallet.
Create an inequality in standard form that describes this situation.
Use the given numbers and the following variables.
• x = the number of large popcoms
• y = the number of small popcorn
Answer:
18x + 12y ≤ 50
Step-by-step explanation:
Let x be the number of large popcoms and y be the number of small popcoms.
The cost of a large popcom is $18, and the cost of a small popcom is $12. The total cost of purchasing x large popcoms and y small popcoms is given by:
Total cost = 18x + 12y
The problem states that Jarvis has $50 in his wallet to pay for the popcoms. Therefore, we can write the following inequality:
18x + 12y ≤ 50
This inequality represents the situation where Jarvis and his family want to purchase popcoms, and Jarvis has $50 to spend. The inequality ensures that the total cost of the popcoms does not exceed $50.
please help!! I need this by the end of tonight..!
Answer:
y=2.05x
Step-by-step explanation:
Figure out what the total cost is for 1 of them then you put that in as your M value, then X stands for number of sheets so 2.05 multiplied by the number of sheets sold you get your Y which is the total cost in dollars for x sheets.
fatima is 1.27m tall. charlotte is 0.89m tall lila is taller than charlotte by half the difference betweem fatimas height and charlottes height. how tall in meters is lila?
Lila's height is 0.89 + 0.19 = 1.08m.
What is height ?
Height typically refers to the measurement of an object or person from the base to the top, usually measured vertically. It is often used in reference to the physical dimension of a person or object, such as the height of a building, tree, or individual.
According to the question:
In the context of the given problem, height refers to the height of Fatima, Charlotte, and Lila.
Fatima is 1.27 meters tall, Charlotte is 0.89 meters tall, and Lila is taller than Charlotte by half the difference between Fatima's height and Charlotte's height.
The difference between Fatima's height and Charlotte's height is 1.27 - 0.89 = 0.38m.
Half of that difference is 0.38/2 = 0.19m.
So, Lila is taller than Charlotte by 0.19m.
Therefore, Lila's height is 0.89 + 0.19 = 1.08m.
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3 2/5 -1 3/5!!
Please i need help!
Answer:
Step-by-step explanation:
3 2/5 -1 3/5 = 1.8
the probability of class failure is 7%. if 56 students take a class, what number of students is expected to fail the class?
The probability of class failure is 7%. If 56 students take a class, the expected number of students who will fail the class is 4.
We will use the above formula to find the expected value of class failure. Let x be the number of students expected to fail the class.
Expected value = Probability x Total number of trials
The probability of class failure is 7%, so the probability of passing the class is 100% - 7% = 93%. The total number of trials is the total number of students taking the class, which is 56. Putting these values into the formula gives us:
Expected value = 7% x 56
Expected value = 0.07 x 56
Expected value = 3.92
We cannot have a fraction of a student, so we can round this number up to get the expected number of students who will fail the class.
Therefore, the expected number of students who will fail the class is 4.
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you have an srs of 23 observations from a large population. the distribution of sample values is roughly symmetric with no outliers. what critical value would you use to obtain a 98% confidence interval for the mean of the population?
The Critical value to be used to gain the 98 confidence interval for the population mean is2.508 and can be determined using the t- distribution table.
critical value is the value of a test statistic that defines the upper and lower bounds of the confidence interval or determines the position of statistical significance in a statistical test.
Given
You have an SRS of 23 compliances from a large population.The distribution of the sample values is roughly symmetric, with no outliers.98% confidence interval.The following way can be carried out to determine the critical value
Step 1-First determine the degrees of freedom using the following formula
degrees of freedom = n- 1
where n is the sample size.
Step 2- Replace" n" in the below formula.
degrees of freedom = 23- 1
= 22
Step 3- Now you can use the t- distribution table to determine the critical value to get a 98 confidence interval.
critical value = 2.508
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nineteen students are eligible to play doubles tennis. what is the maximum number of different 2-person teams possible?
By permutation and combination, Maximum 171 number of different 2 - person teams are possible.
Provide an example of permutation and combination?
An arrangement of things in a specific order is referred to as a permutation. In this arrangement, the components or components of sets are organized in a linear or sequential order.
As an illustration, set A=1,6 has the permutation 2, which is 1,6,1. Permutations include the arrangement of individuals, digits, numbers, alphabets, letters, and colors. Combinations include things like choosing a menu, cuisine, clothing, a subject, and a team.
Total number of ways to choose different 2 person out of 19 person.
= ¹⁹C₂
= 19!/2! (19 - 2)!
= 19!/2! 17!
= 19 * 18 * 17!/2 * 1 * 17!
= 19 * 7
= 171
Hence, maximum 171 number of different 2 - person teams are possible.
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ten families have an average of 2 children per family. if exactly two of these families are childless, what is the average number of children in the families with children? express your answer as a decimal to the nearest tenth.
Answer:
Step-by-step explanation:
If there are ten families and exactly two of them are childless, then there are 10 - 2 = 8 families with children.
The total number of children in these families is 8 x 2 = 16.
Therefore, the average number of children in the families with children is:
16 / 8 = 2
So the average number of children in the families with children is 2.0 (to the nearest tenth).
The average number of children in the families with children is 2.2.
To calculate this, first we need to determine the total number of children in the ten families. Since each family has an average of 2 children, this means that the total number of children in the ten families is 10 x 2 = 20.
Since two of these families are childless, this means that the total number of children in the remaining 8 families is 20 – 0 = 20.
Now, we need to determine the average number of children in the 8 families with children. To do this, we divide the total number of children (20) by the number of families with children (8):
20/8 = 2.5
Finally, we express the answer to the nearest tenth, which is 2.2.
In conclusion, the average number of children in the families with children is 2.2.
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Which of the following explains why it is easier to reject the null hypothesis with a one-tailed test than with a two-tailed test with all the same parameters?
a. Because the standard deviation in a one-tailed test is larger than that for a two-tailed test
b. Because z-scores are calculated differently in a one-tailed test
c. Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test
d. Because a two-tailed test uses a bimodal distributio
Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test.
What is the difference between a one-tailed test and a two-tailed test in hypothesis testing?In a one-tailed test, the alternative hypothesis is directional and the critical region is all on one side of the distribution. In a two-tailed test, the alternative hypothesis is non-directional and the critical region is split between the two tails of the distribution.
Why is it easier to reject the null hypothesis with a one-tailed test than with a two-tailed test?It is easier to reject the null hypothesis with a one-tailed test because the critical region is all on one side of the distribution, making it more likely to observe a significant difference and reject the null hypothesis. In contrast, the critical region is split between the two tails in a two-tailed test, making it less likely to observe a significant difference and reject the null hypothesis.
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Annabelle works in a deli and has been tracking the daily sales of different items over several months. Annabelle found that when there was an increase in the number of cups of hot chocolate sold, the number of cups of coffee sold also increased. Similarly, when there was a decrease in the number of cups of hot chocolate sold, the number of cups of coffee also decreased.
Which of the following is a valid conclusion?
A.
There is no correlation between the sale of hot chocolate and the sale of coffee.
B.
The increase in the sale of hot chocolate caused an increase in the sale of coffee.
C.
The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
D.
No conclusion can be drawn about the correlation or causation of the sale of hot chocolate and the sale of coffee.
Option C is the correct answer. The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
What is correlation?
Correlation is a statistical measure that shows how closely two or more variables are linked to one another. It is a measurement of the strength and direction of the linear connection between two variables, in other words.
Based on the information provided, it can be concluded that there is a correlation between the sale of hot chocolate and the sale of coffee.
Option A can't be considered because it conflicts with the material provided.
Option B indicates a causal relationship that cannot be proven merely on the basis of the observed correlation between the sales of hot chocolate and coffee.
Option D is untrue as well because a correlation has been found.
Therefore, option C is the valid conclusion that can be drawn from the given information, stating that the increase in the sale of hot chocolate is correlated to, but not necessarily caused by, the sale of coffee.
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hills vanessa is walking up a hill. after walking 40 feet, she has climbed a total of 8 feet vertically. if she walks an additional 25 feet up the hill, how many feet will she have climbed vertically in total?
Vanessa's vertical climb rate is 0.2 feet per foot of horizontal distance. When she walks 65 feet horizontally up the hill and climbs an additional 25 feet, her total vertical climb will be 21 feet.
For every 40 feet of horizontal distance Vanessa walks, she climbs 8 feet vertically. So her vertical climb rate is 8/40 = 0.2 feet per foot of horizontal distance.
If she walks an additional 25 feet up the hill, her total horizontal distance traveled will be 40 + 25 = 65 feet.
Therefore, her total vertical climb will be 0.2 times her total horizontal distance:
8 + (0.2 * 65) = 8 + 13 = 21 feet
So, Vanessa will have climbed a total of 21 feet vertically after walking 65 feet horizontally up the hill.
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Ms Kowal invests £6000 in a simple interest account.
After 5 years her investment has earned £450 interest.
What rate of interest does the account pay?
Answer:
We can use the simple interest formula I = Prt to find the rate of interest that the account pays. Here, P is the principal amount (£6000), t is the time period (5 years), and I is the interest earned (£450). Substituting these values in the formula gives us: 450 = 6000 * r * 5. Solving for r, we get r = 0.015 or 1.5%. Therefore, the account pays a simple interest rate of 1.5%
5. the number of people arriving for treatment at an emergency room can be modeled by a poisson process with a mean of 5 people per hour. how many people do you expect to arrive during a 45-min period?
If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.
The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.
To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.
Next, we can use the Poisson distribution formula, which is:
P(X = k) = (e^(-λ) * λ^k) / k!
where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).
Expected number of arrivals = λ * t = 5 * 0.75 = 3.75
Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.
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help please i dont get this
● < P=R " angles opp =sides"
●PQ =QR " Angles opposite = sides"
therefore PQR is an isosceles " 2 opp angles and sides are equal "
job elimination in the past year, of businesses have eliminated jobs. if businesses are selected at random, find the probability that at least have eliminated jobs during the last year. round your answer to at least three decimal places. do not round your intermediate calculations.
The probability that at least 5 have eliminated jobs during the last year is 0.002965.
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.
n = 9
p = probability of businesses have eliminated jobs = 0.13
X = Number of businesses have eliminated jobs ~
Binomial( n= 9 , p = 0.13)
[tex]P(X \geq 5)[/tex]
[tex]P(X \geq 5) = 1-P( X < 5)[/tex]
[tex]P(X \geq 5) = 1-P( X \leq 4)[/tex]
Use following Excel command:
=1-BINOM.DIST(x, n, p, cumulative)
=1-BINOM.DIST(4,9,0.13,TRUE)
=0.0029649
=0.002965
Thus
[tex]\mathbf{{P(X \geq 5) =0.002965}}[/tex].
Therefore, probability that at least 5 have eliminated jobs during the last year is 0.002965.
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Complete question';
Job Elimination in the past year, 13% of businesses have eliminated jobs. If 9 businesses are selected at random, find the probability that at least 5 have eliminated jobs during the last year. Round the answer to at least four decimal places P(at least 5 have eliminated jobs during the last year) X
Help, please!
The answer is presented on the image, thank you!
Answer:
PQ = 3QR = 5EF = 10Step-by-step explanation:
You want to know the side lengths of the triangles shown if DE = 8.
Value of xSide DE is marked as x+6. If its length is 8, then we have ...
x +6 = 8
x = 2 . . . . . subtract 6
Side lengthsThe unknown side lengths are then ...
PQ = x+1 = 3
QR = x+3 = 5
EF = x+8 = 10
__
Additional comment
These are both 3:4:5 right triangles. The larger is twice the size of the smaller. You can guess this because a 3:4:5 right triangle is the only one with a side length of 4 and integer lengths for the other sides.
Compute the interest on 250000 at a 7. 5% interest rates for half a year
the interest earned on 250000 at a 7.5% interest rate for half a year is 4687.50. This means that after half a year, the total amount that you would have is the sum of the principal and the interest, which is 254687.50.
To calculate the interest on 250000 at a 7.5% interest rate for half a year, we first need to determine the annual interest rate, as most interest rates are quoted on an annual basis. To do this, we can divide the annual interest rate of 7.5% by 2 to get the half-yearly interest rate, which is 3.75%.
Next, we can use the formula for simple interest to calculate the interest earned over half a year. Simple interest is calculated by multiplying the principal amount (in this case, 250000) by the interest rate (3.75%) and the time period (0.5 years).
So, the interest earned would be:
Interest = Principal x Rate x Time
= 250000 x 0.0375 x 0.5
= 4687.50
Therefore, the interest earned on 250000 at a 7.5% interest rate for half a year is 4687.50. This means that after half a year, the total amount that you would have is the sum of the principal and the interest, which is 254687.50.
It's worth noting that this calculation assumes that the interest is simple interest, which means that the interest earned is not reinvested. If the interest is compounded (i.e., the interest earned is reinvested), then the interest earned would be higher.
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assuming a constant growth factor, by what percent did the population of gotham city grow each year? give at least 3 decimal places.
Assuming a constant growth factor, the population of Gotham City grew by approximately 4.287% each year.
This can be calculated using the formula for exponential growth, which is:
y = a * (1 + r)^t
Where: y = final value of the population
a = initial value of the population
r = annual growth rate expressed as a decimal
t = number of years
For this problem, let's assume that the initial population of Gotham City was 100,000 and that the population grew for 10 years.
Using these values, we can calculate the annual growth rate as follows:
100,000 * (1 + r)^10 = final population
r = (final population / 100,000)^(1/10) - 1
Plugging in a final population of 148,644 (which is a 48.644% increase from the initial population),
r = (148,644 / 100,000)^(1/10) - 1r = 0.04287 (rounded to 5 decimal places)
Therefore, the annual growth rate (or percentage increase) is approximately 4.287% (rounded to 3 decimal places).
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four times the sum of a number and four is 136. translate into an equation and then solve for the number?
Answer: y-98
Step-by-step explanation:
at an airport restaurant, two sodas and four hamburgers cost $12.00. an order of four sodas and two hamburgers costs $9.00. how much does one hamburger cost?
At an airport restaurant, the cost of one hamburger is $2.50.
How to get the cost of one hamburger?Two sodas and four hamburgers cost $12.00, and an order of four sodas and two hamburgers costs $9.00.
To know the cost of each soda and hamburger, we need to use the equation (x and y)
Use x for soda, and use y for hamburger
Two sodas and four hamburgers cost $12.00
Then, (2 x x) + (4 x y) = 12
2x + 4y = 12
We need to divide the numbers by 2, as follows:
x + 2y = 6
four sodas and two hamburgers cost $9.00
(4 x x) + (2 x y) = 9
4x + 2y = 9
We have to substitute the "x", as follows:
4 (6-2y) + 2y = 9
24 - 8y + 2y = 9
24 - 6y = 9
24 - 9 = 6y
15 = 6y
y = 2.5
Therefore, the cost of one hamburger is $2.50.
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the gallup poll surveyed a representative sample of american adults and offered a list of seven personal economic problems that many people face. what are the top financial concerns that people have?
According to a histogram that displays the percentage of replies over time, an April Gallup poll indicated that 55% of Americans think autonomous cars would be widely used in the next ten years.
Whether completely automated "driverless automobiles" would be widely deployed in the United States was the subject of a Gallup Poll conducted in April, which polled Americans ages 18 and older.
How soon, in your opinion, do you believe autonomous cars will be widely used in the US? According to the survey, 55% of Americans think autonomous cars will become commonplace over the next ten years.
The survey's results were displayed as a histogram, displaying the proportion of replies at various time intervals. This indicates how many respondents indicated that driverless cars will be widely utilised within a particular time period (e.g., within 5 years, within 10 years, etc.).
This survey reveals how people feel about autonomous cars in the future and how soon they believe they will be a common sight on the roads.
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The question is -
A Gallup Poll utilizing a random sample of adults ages or older was conducted in April. The survey indicated a majority of Americans () say driverless cars will be common in the next years (). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? The figure below shows a summary of the results of the survey in a histogram indicating the percentage of the total responses in different time intervals.
How To Do 387 x 72 In standard algorithm.
Answer: k898
iiii
Step-by-step explanation:
k8ni7mrvnyrt
assume that 50 million households in the u.s. watched a particular show at 9:00 pm, and 90 million households had their television sets turned on at 9:00 p.m. calculate the share of audience.
The share of audience for the particular show at 9:00 pm is 55.56% for 50 million households.
We need to know the number of households that watched the programme and the total number of households with televisions on at 9:00 p.m. in order to determine the proportion of audience for that programme.
In this instance, it is stated that 90 million homes had their televisions on at 9:00 p.m. in addition to 50 million households watching the programme. Consequently, the following formula can be used to determine the show's viewership share:
Share of audience is calculated as follows: (Number of households that watched the programme / Total number of households with TVs on) x 100%
= 100% x (50 million / 90 million)
= 55.56%
As a result, 55.56% of the audience watched the specific show at 9:00 p.m. This indicates that the programme was viewed by more than half of the homes with on-air televisions at the time.
The share of audience is a crucial measurement in television ratings since it aids networks and advertisers in understanding how popular a show is and how far it might be able to reach the intended audience.
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I need help asap please sb
LN/RT = NM/TS is the correct option in congruent triangle .
What in mathematics is congruent?
If two shapes are similar in size and shape, they are said to be congruent. The mirror image of one shape is the same as the other if two shapes are congruent.
Congruent refers to objects that are precisely the same size and shape. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.
In ΔLMN ≅ ΔRST
In triangle are congruent .
LN/RT = NM/TS
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Tell whether the angles are complementary, supplementary, or neither.
pleaseeee help!!!!!!!!!
The phrase that reflects the amount of recordings, in thousands, owned by the collector 4 years later if it continues to expand at this rate is: [tex]O 12 • (1.02)^48[/tex] Thus, option C is correct.
What number of records will increase by a factor?o calculate the number of records that will increase by a factor, you first need to know the initial number of records. Let's call this number "N".
To increase the number of records by a factor of "F", you can simply multiply the initial number of records by the factor:
New number of records = N x F
For example, if you have 100 records and you want to increase the number of records by a factor of 3, the new number of records would be:
New number of records [tex]= 100 x 3 = 300[/tex]
So, the new number of records would be 300.
The growth rate is 2% per month, which means that the number of records will increase by a factor of 1.02 each month. After 4 years (48 months), the number of records owned by the collector can be calculated using the formula:
[tex]12,000 x (1.02)^48[/tex]
Simplifying this expression, we get:
[tex]12,00x0 1.02^48[/tex]
Therefore, the expression that represents the number of records, in thousands, owned by the collector 4 years later if it continues to grow at this rate is: O 12 • (1.02)^48
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when conducting a logistic regression analysis, what is the problem of class imbalance in a dataset?
Class imbalance is a common problem in logistic regression analysis, where one class of data significantly outnumbers the other.
Class imbalance can be problematic because it leads to an over-representation of one class and an under-representation of the other, which can bias the model’s prediction towards the more frequently occurring class.
Class imbalance can cause the model to focus on optimizing accuracy by predicting the majority class more often than the minority class, leading to an underestimation of the minority class. It can also reduce the model’s ability to capture the nuances of the data that can be associated with the minority class. To address this, techniques such as oversampling, undersampling, and cost-sensitive learning can be employed to balance the data and improve model performance.
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9. There are 8 black socks, 6 blue socks, and 14 white socks in a drawer. If one sock is randomly chosen from the
drawer, then what is the probability that the sock will not be blue?
The probability that the socks will not be blue would be =11/14.
How to calculate the probability of socks that are not blue in colour?Probability can be defined as the expression that shows the possibility of the occurrence of an event.
The formula that is used to calculate probability = the chosen events/total number of outcomes.
The total number of black socks = 8
The total number of blue socks = 6
The total number of white socks = 14
The total number of socks (outcomes) = 8+6+14 = 28
The socks that are not blue = 8+14 = 2
Therefore the probability that they socks won't be blue = 22/28 = 11/14.
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A club sponsor collects and analyzes data to estimate the number of students, y
, in attendance at a club meeting x
weeks after the start of the school year. The linear model y=11x+41
can be used to represent the data when x≥0
.
Which two best describe the value 41
?
Responses
change in number of students in attendance per week
change in number of students in attendance per week
initial number of students in attendance when x=0
initial number of students in attendance when x = 0
slope
slope
x
-intercept
x -intercept
y
-intercept
y -intercept
Since the linear model y = 11x + 41 can be used to represent the data when x≥0, the two statement which best describe the value 41 include the following:
B. initial number of students in attendance when x = 0.
E. y-intercept.
What is the slope-intercept form?In Mathematics, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept, y-intercept or initial number.Based on the information, an equation that models the line is given by this mathematical expression;
y = mx + c
y = 11x + 41
By comparison, we have the following:
mx = 11x
Slope, m = 11.
Initial number or y-intercept, c = 41.
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