Answer: It's none of these because the answer is 30.
consider the following data set when answering questions 9-12. in a study of jury behavior, participants were provided details about a trial in which the defendant was obviously guilty. although group 2 was told the same details as group 1, they were also told that some evidence had been withheld from the jury by the judge. later the participants were asked to recommend a jail sentence in years. the length of sentence suggested by each participant is presented below. group 1 scores: 4 4 3 2 5 1 1 4 group 2 scores: 3 7 8 5 4 7 6 8 what is the null hypothesis for this test? the groups will differ in their suggested sentences the second group will have a longer mean sentence than group one the second group will have a shorter mean sentence than group one the 2 groups will not differ in terms of their suggested sentences
The null hypothesis for this test is that the 2 groups will not differ in terms of their suggested sentences.
The null hypothesis is a statement that there is no difference between the two populations or variables being tested.
It can be thought of as the "default" position, which assumes that any observed difference is due to chance.
The null hypothesis is usually written in a way that it can be tested and rejected or not rejected through statistical analysis.
The null hypothesis for this test is that the two groups will not differ in terms of their suggested sentences.
This means that any difference between the groups in their suggested sentences is due to chance and not a difference in the population or variables being tested.
This hypothesis can be tested and rejected or not rejected through statistical analysis.
If the two groups do differ in their suggested sentences then the null hypothesis will be rejected and it will be concluded that the difference is not due to chance but rather due to a difference in the population or variables being tested.
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A fair die will be rolled 12
times. What is the probability that 1
, 2
, or 3
is rolled at most 9
times? Round your answer to four decimal places
The probability of getting 1, 2, or 3 at the most 9 times after rolling a fair die 12 times is given by 0.9807.
Probability that 1, 2, or 3 is rolled at most 9 times,
Consider all the possible outcomes of rolling a fair die 12 times.
Count the number of outcomes where 1, 2, or 3 is rolled at most 9 times.
Use the complementary probability,
Probability that 1, 2, or 3 is rolled more than 9 times,
Then subtract that probability from 1 .
Let X be the number of times 1, 2, or 3 is rolled in 12 rolls.
Then X follows a binomial distribution with n=12 and p=1/2,
Since there are 3 favorable outcomes out of 6 possible outcomes on each roll.
The probability that 1, 2, or 3 is rolled more than 9 times can be calculated as follows,
P(X > 9) = P(X = 10) + P(X = 11) + P(X = 12)
= (¹²C₁₀) (1/2)^10 (1/2)^2 + (¹²C₁₁) (1/2)^11 (1/2)^1 + (¹²C₁₂) (1/2)^12 (1/2)^0
= 66/2^12 + 12/2^12 + 1/2^12
= 79/2^12
Probability that 1, 2, or 3 is rolled at most 9 times is,
P(X ≤ 9)
= 1 - P(X > 9)
= 1 - 79/2^12
= 4017/2^12
Rounding this to four decimal places gives,
P(X ≤ 9) ≈ 0.9807
Therefore, the probability that 1, 2, or 3 is rolled at most 9 times is approximately 0.9807.
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21st term: 3,8,13,18 What is the indicated term
The 21st term of the sequence 3, 8, 13, 18, .. is 103
To find the indicated term in the sequence, we first need to identify the pattern followed by the sequence. It appears that each term is obtained by adding 5 to the previous term. So, we can write the general formula for the nth term of the arithmetic sequence as
a(n) = a(1) + (n-1)d
where a(1) is the first term of the sequence, d is the common difference, and n is the term number.
In this case, we have:
a(1) = 3 (the first term)
d = 5 (the common difference)
To find the 21st term, we substitute n = 21 in the formula:
a(21) = a(1) + (21-1)d
a(21) = 3 + 20(5)
a(21) = 103
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the anova procedure is a statistical approach for determining whether the means of . a. more than two samples are equal b. two or more populations are equal c. two samples are equal d. two or more samples are equal
The means of two or more populations being equal is determined by a statistical approach for the ANOVA procedure. Option B is correct.
The ANOVA (Analysis of Variance) procedure is a statistical method used to determine whether there is a significant difference between the means of two or more groups. To statistically test the equality of means ANOVA uses F-tests.
The repeated-measures ANOVA is a two-stage process that is described as an analysis of dependencies. This test is used to prove an assumed cause-effect relationship between variables. The conditions that must be met for the results of an ANOVA are Independence, Random Sampling, Large Sample Size, and Normality.
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Hi can someone help me with finding out the equation for this word problem
The equation of the word problem is x-4n.
What is word problem?A word problem is a math problem written out as a short story or scenario. This mathematical statement are interpreted into mathematical equation or expression.
Representing the total number of sheep in the flock by x and representing the number of weeks by n. Therefore the remaining sheep in the flock for the number of weeks will be expressed as
x - 4n.
Therefore the equation for the word problem is x - 4n.
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what are the first four terms if a1=2 and an= an-1 +3?
The first four terms of the sequence are a₁ = 2, a₂ = 5, a₃ = 8, a₄ = 11.
What is arithmetic progression?The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). A good example of an arithmetic progression (AP) is the series 2, 6, 10, 14,..., which follows a pattern in which each number is created by adding 4 to the previous term.
The given sequence is defined as a₁=2 and aₙ= aₙ₋₁ + 3 for n > 1.
To find the first four terms of the sequence, we can use the recursive formula repeatedly:
a₁ = 2 (given)
a₂ = a₁ + 3 = 2 + 3 = 5
a₃ = a₂ + 3 = 5 + 3 = 8
a₄ = a₃ + 3 = 8 + 3 = 11
Therefore, the first four terms of the sequence are a₁ = 2, a₂ = 5, a₃ = 8, a₄ = 11.
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given: weight a: 140 pounds at 17 inches aft of datum weight b: 120 pounds at 110 inches aft of datum weight c: 85 pounds at 210 inches aft of datum based on this information, the cg would be located how far aft of datum?
The center of gravity is located 96.7 inches aft of the datum.
To determine the location of the center of gravity (CG) of the system, we need to calculate the moment of each weight about the datum, and then divide the sum of the moments by the total weight of the system.
The moment of each weight is equal to its weight multiplied by its distance from the datum. In this case:
Moment of weight a = 140 pounds x 17 inches = 2,380 inch-pounds
Moment of weight b = 120 pounds x 110 inches = 13,200 inch-pounds
Moment of weight c = 85 pounds x 210 inches = 17,850 inch-pounds
The total weight of the system is:
Total weight = weight a + weight b + weight c = 140 + 120 + 85 = 345 pounds
Therefore, the location of the CG can be calculated as follows:
CG location = (Moment of weight a + Moment of weight b + Moment of weight c) / Total weight
CG location = (2,380 + 13,200 + 17,850) / 345
CG location = 33,430 / 345
CG location = 96.7 inches aft of datum
As a result, the center of gravity is 96.7 inches aft of the datum.
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A survey found that the ratio of students who play intruments to those who do not was 7/20 of the students do not play an instrument 440 surveyd how many students surveyd play an instument
The number of students surveyed who plays an instrument is 114 students.
The ratio of students who play instruments to those who do not is 7/20, which means that out of every 7+20=27 students, 7 of them play an instrument and 20 of them do not.
If we know that 440 students were surveyed, we can set up a proportion to find the number of students who play an instrument:
7/27 = x/440
To solve for x, we can cross-multiply:
7 * 440 = 27 * x
3080 = 27x
x = 114.07
Since we can't have a fraction of a student, we should round up to the nearest whole number, which means that approximately 114 students surveyed play an instrument.
Therefore, the required answer is 114.
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The scale factor of the larger of two similar triangular prisms is 6. The surface area of the smaller prism is 36 ft2. Identify the surface area, rounded to the nearest tenth, of the larger prism
The surface area, rounded to the nearest tenth, of the larger prism is 1296 square feet.
If the scale factor of the larger prism to the smaller prism is 6, then the corresponding ratio of their surface areas is 6² or 36:1.
Scale factor is the ratio of the lengths of corresponding sides of two similar figures. It is used to determine how much larger or smaller one figure is compared to another, and it is often expressed as a fraction or a decimal.
We know that the surface area of the smaller prism is 36 ft², so we can set up the equation
x = 36 × 36
where x is the surface area of the larger prism.
Simplifying the equation
x = 1296 square feet
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Jody's team scored 26, 25, 34, 28, and 32 points at the last five basketball games.
What does the mean number of points Jody's team scored represent?
Responses:
A mean of 29 means that the data values are relatively close together and Jody's team scored around 29 points each game.
A mean of 29 points means that the data is very spread out.
A mean of 29 points means that Jody's team scored exactly 29 points in each of the last 5 games.
Answer: A
Step-by-step explanation:
justin developed the below hypothesis. h1: younger adults (18-28 years old) spend more time on social media than the middle-aged (29-65 years old) group and older adults (older than 65 years old). what statistical test should he use to test his hypothesis?
To verify if older adults and middles ages people spend less time on social media, Justin can use the Analysis of variance (ANOVA) test.
ANOVA is used to compare means across two or more groups. Justin can use this test on the different category of younger adults, middle-aged and older adult. This test is done when there is statistically significant difference between the group of samples.
Justin can utilize post-hoc tests (such as Tukey's HSD and Bonferroni) to identify whether particular groups are statistically different from one another if an ANOVA shows a significant difference.
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Leo subscribes to a monthly app service that charges him $6 for one month, and each app he purchases costs $0. 90. Lara subscribes to a service that charges $1. 50 per app with no additional monthly fee. After how many apps will they have the same monthly bill?
Iam do not understand what do you mean 1335690964225753897426908224 1335690964225753897426908224 88 9 109 250 10 10 XL 220 10 10 30 250 30 30 30 400
a number c increased by 3 is less than or equal to -18
Please help me so i can finish my homework
Answer:
[tex]\frac{1}{4}[/tex]w + 3
Step-by-step explanation:
Helping in the name of Jesus.
Susan's cell phone plan includes unlimited texting. The amount she pays for texting each
month can be described by the function y = 20, where y is the number of dollars spent on
texting as a function of x, the number of texts.
What is true about the function?
It is linear because the rate of change is zero.
It is linear because the rate of change is increasing.
It is nonlinear because the rate of change is zero.
It is nonlinear because the rate of change is
increasing.
When adding or subtracting mixed numbers with like denominators, the numerators ___ , but the denominators ______ .
A. Stay the same
B. change
Answer:
Yo, when you adding or subtracting mixed numbers with the same denominators, the numerators stay chill, they don't change, bro.
But the denominators, they also stay the same, man. It's like keeping things consistent, ya feel me? So the answer is A, dude. Numerators stay put, denominators stay put. It's all good vibes, bro! ✌️
Find the distance, d, of AB.
The distance between A and B is approximately 8.06 units.
In order to find the distance, d, of AB, we need to use the distance formula. The distance formula gives us the distance between two points in a coordinate plane. It is given as:$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ where (x1, y1) and (x2, y2) are the coordinates of the two points in question.
In this case, A and B are the two points for which we need to find the distance. Let's assume that the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2).
Then the distance formula becomes:
$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$
$$d = \sqrt{((8 + 4) - 2)^2 + ((5 - 1) - 3)^2}$$
$$d = \sqrt{(10 - 2)^2 + (4 - 3)^2}$$
$$d = \sqrt{(8)^2 + (1)^2}$$
$$d = \sqrt{64 + 1}$$
$$d \approx \sqrt{65}$$
$$d \approx 8.06$$
Therefore, the distance between A and B is approximately 8.06 units.
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you place in a dark bag 24 marbles. 12 marbles are red, 5 marbles are blue and 7 marbles are yellow. you select 2 random marbles (one after the other without putting the first back in). what is the probability that the marbles have the same color?
The probability of selecting two marbles with the same color is approximately 0.27 or 27%.
To work out the likelihood that the two marbles drawn have similar variety, we can utilize the accompanying advances:
In the first place, we compute the likelihood of drawing a red marble on the principal pick: 12/24 = 1/2.
On the off chance that the main marble drawn is red, there will be 11 red marbles left clinched, out of a sum of 23 marbles. So the likelihood of drawing one more red marble on the subsequent pick is 11/23.
Likewise, in the event that the principal marble drawn is blue, there will be 4 blue marbles left clinched, out of a sum of 23 marbles. So the likelihood of drawing one more blue marble on the subsequent pick is 4/23.
Furthermore, on the off chance that the main marble drawn is yellow, there will be 6 yellow marbles left taken care of, out of a sum of 23 marbles. So the likelihood of drawing one more yellow marble on the subsequent pick is 6/23.
To get the complete likelihood of drawing two marbles of similar variety, we want to add the probabilities of every one of these cases:
(1/2) x (11/23) + (5/24) x (4/23) + (7/24) x (6/23) = 55/138 or roughly 0.398 or 39.8%.
In this way, the likelihood of drawing two marbles of a similar variety is roughly 39.8%.
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The relationship between the mass m in kilograms of an organism and its metabolism P in Calories per
day can be represented by P = 73.3m³. Find the metabolism of an organism that has a mass of 16 kilograms.
Answer:
The relationship between the mass m in kilograms of an organism and its metabolism p in calories per day can be represented by p = 73.3m³ . To find the metabolism of an organism that has a mass of 16 kilograms, we can substitute m = 16 into the equation:
p = 73.3m³ p = 73.3(16)³ p = 73.3(4096) p = 299,648 calories per day
Therefore, an organism with a mass of 16 kilograms has a metabolism of 299,648 calories per day.
I hope that helps!
Step-by-step explanation:
An organism with a mass of 16 kilograms has a metabolism of 299,708.8 Calories per day according to the given relationship.
We can use the given formula to find the metabolism P of an organism with a mass of 16 kilograms:
P = 73.3m³
where m = 16 kg
Substituting the value of m:
P = 73.3(16)³
P = 73.3(4096)
P = 299,708.8 Calories per day.
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A store is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount?
The cost of the shirt, in dollars, after the 30% discount is $17.50.
What is discount?
A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.
If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:
30% of $25 = 0.30 x $25 = $7.50
The discount amount is $7.50, so the new price of the shirt after the discount is:
$25 - $7.50 = $17.50
Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.
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in a certain health center there are 3 doctors, 8 nurses and 2 physicians. in how many ways one can form a group of 5 members consisting of 1 doctor, 3 nurse and 1 physician.
Charlie made the following table to record the height of each person in his family.
If Cheyenne and Hannah lay end to end, how far will they reach?
A. 9
B. 9, 1/2
C. 10
D. 8
At a candy store, gummy bears are $5.25 per pound and jelly beans are $3.90 per pound. David has 1 3/4 pounds of jelly beans in his basket. Write and solve an inequality to determine the maximum number of pounds of gummy bears David can buy if he has $15 to spend. (Weights are measured to the nearest hundredth of a pound.)
If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
To determine the remaining amount of money available left to buy gummy bears, we have to find the amount of money already spent on jelly beans.
Amount of money spent on jelly beans;
= 7/4 × 3.90
= 6.825
Amount of money left for gummy bears ;
= 15-6.825
= 8.175
Thus, Pounds of gummy bears bought = 8.175 ÷ 5.25
= 1.55 pounds
Hence, If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.
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Can someone please help me asap? It’s due tomorrow.
The correct option is the last one, they only surveyed their subscribers-.
Why is the title misleading?The title is "most popular equipment among all campers", notice the word "all". The title claims that it is representing the whole population of campers.
But the sample does not represent all campers, because the sample is only the subscribers of that magazine, so we have a biased sample.
Then the correct option is the last one, they only surveyed their subscribers.
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Is 20/√40 the same as 1/√2
Answer:
Step-by-step explanation:
[tex]\sqrt{40}[/tex] = [tex]\sqrt{4}[/tex] x [tex]\sqrt{10}[/tex] = [tex]2\sqrt{10[/tex]
[tex]\frac{20}{2\sqrt{10} }[/tex] = [tex]\frac{10}{\sqrt{10} }[/tex]
[tex]\frac{10}{\sqrt{10} } * \frac{\sqrt{10} }{\sqrt{10} } = \frac{10\sqrt{10} }{10} = \sqrt{10} }[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{1}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} } = \frac{\sqrt{2} }{2}[/tex]
From the above since [tex]\frac{20}{\sqrt{40} }[/tex] is not equal to [tex]\frac{1}{\sqrt{2} }[/tex] it implies that they are not the same
Three machines are used to produce nails. The table displays the total number of nails produced by the 3 machines
over different lengths of time.
Nail Production with 3 Machines
Time (minutes)
Number of Nails
(thousands)
15
16
45
48
55
593
ON
If each machine produces nails at the same rate, how many nails can 1 machine produce in 1 hour?
nails
One machine can produce 600,000 nails in one hour.
Finding the total number of nails produced by the three machines in a minute and dividing that number by three to obtain the number of nails produced by a single machine in a minute are the first two steps in the solution to this problem.
The number of nails produced by a single machine in an hour can then be calculated by multiplying that number by 60.
Now, we add up the total number of nails produced during :
(15 + 16 + 45 + 48 + 55 + 59 + 3) / 7 = 30
To find the number of nails produced by one machine in one hour, we multiply by 60: 10,000 x 60 = 600,000
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In triangle ∆ABC, m<A = 33°, m<C = 58°, and AB = 25 in. What is AC to the nearest tenth of an inch?
1. 16.1 in.
2. 38.9 in
3. 42 in.
4. 12 in.
The length of AC using the laws of sines is 29.5 inches
Calculating the length of ACWe can use the law of sines to solve this problem.
The law of sines states that in any triangle ∆ABC:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides opposite to the angles A, B, and C, respectively.
In this case, we know that m<A = 33°, m<C = 58°, and AB = 25 in.
We need to find AC, which is opposite to angle A.
Let's use the law of sines to solve for AC:
AC/sin(B) = AB/sin(C)
Where
B = 180 - 33 - 58
B = 89
So, we have
AC/sin(89°) = 25/sin(58°)
This gives
AC = 29.5 in. (rounded to the nearest tenth)
Therefore, the answer is 29.5 inches
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HELP!! 10 POINTS
uhm yeah thats all I've got to say
The correct statement regarding the middle 50% of the data-set is given as follows:
C. The box, from 41 to 56.
What does a box-and-whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.The box, from the 25th percentile of 41 to the 75th percentile of 56, shows the middle 50% of the data-set.
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16. pen problems a. a rectangular pen is built with one side against a barn. two hundred meters of fencing are used for the other three sides of the pen. what dimensions maximize the area of the pen? b. a rancher plans to make four identical and adjacent rectan- gular pens against a barn, each with an area of 100 m2 (see figure). what are the dimensions of each pen that minimize the amount of fence that must be used?
a. The dimensions that maximize the area of the pen are 33 meters by 100 meters.
b. The dimensions of each rectangular pen that minimize the amount of fence used are 10sqrt(2) meters by 10sqrt(2) meters.
a. To maximize the area of the rectangular pen, we need to find the dimensions that use up all 200 meters of fencing, except for the side that is against the barn. Let the length of the pen be x and the width be y. Then we have:
Perimeter of the pen = 2x + y = 200 - x (since one side is against the barn)
Simplifying this equation, we get:
3x + y = 200
Area of the pen = xy
Now we can express y in terms of x using the equation above:
y = 200 - 3x
Substituting this into the expression for area, we get:
A(x) = x(200 - 3x) = 200x - 3x^2
To maximize the area, we need to find the value of x that makes A(x) as large as possible. We can do this by taking the derivative of A(x) with respect to x and setting it equal to 0:
A'(x) = 200 - 6x
200 - 6x = 0
x = 33.33
Since we can't have a fractional length, we choose x = 33 meters (rounded to the nearest meter). Then y = 200 - 3x = 100 meters.
b. Let the dimensions of each rectangular pen be x and y. Then we have:
Area of each pen = xy = 100
Perimeter of each pen = 2x + 2y
We want to minimize the amount of fence used, which is equal to the total perimeter of all four pens. So, we need to find the dimensions that minimize the total perimeter subject to the constraint that the area of each pen is 100. We can use Lagrange multipliers to solve this problem:
L(x, y, λ) = 2x + 2y + λ(xy - 100)
Taking the partial derivatives with respect to x, y, and λ, we get:
∂L/∂x = 2 + λy = 0
∂L/∂y = 2 + λx = 0
∂L/∂λ = xy - 100 = 0
Solving these equations simultaneously, we get:
x = y = sqrt(200/λ)
xy = 100
Substituting the first equation into the second equation, we get:
sqrt(200/λ)^2 = 100
λ = 2
Substituting λ = 2 back into the first equation, we get:
x = y = sqrt(200/λ) = 10sqrt(2)
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Find the measure of Angle A and round the answer to the nearest tenth.
(Show work if you can, thank you).
68.5 is the measure of Angle A and round the answer to the nearest tenth.
What is Trigonometry?Trigonometry is the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangential (tan), cotangent (cot), secant (sec), & cosecant (csc) are their names, respectively.
Here we have to use the tan ratio to find the answer.
tanθ = base/perpendicular
Given: perpendicular = 19, base = 22
tan θ = 19/22
θ = tan^-1 (19/22)
tan θ = 1.2
so the angle θ is
68.5 degree
Answer: B) 68.5 degrees
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Answer:
The measure of angle A is 40.8° to the nearest tenth.
Step-by-step explanation:
The given triangle ABC is a right triangle.
We want to find the measure of angle A, and have been given the length of the sides opposite and adjacent to angle A.
The tangent ratio of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side of that angle.
Therefore, we can use the tangent trigonometric ratio to find the measure of angle A.
[tex]\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}[/tex]
Given values:
θ = angle A = xO = side BC = 19A = side AC = 22Substitute the given values into the ratio and solve for x:
[tex]\implies \tan(x)=\dfrac{19}{22}[/tex]
[tex]\implies x=\tan^{-1}\left(\dfrac{19}{22}\right)[/tex]
[tex]\implies x=40.8150838...^{\circ}[/tex]
[tex]\implies x=40.8^{\circ}\; \sf (nearest\;tenth)[/tex]
Therefore, the measure of angle A is 40.8° to the nearest tenth.