Answers
Answer/Step-by-step explanation:
1. Sin A = opp/hyp
Opp = 3
Hyp = 5
\( sin(A) = \frac{3}{5} \) (substitution)
\( sin(A) = 0.6 \)
2. Sin B = opp/hyp
Opp = 4
Hyp = 5
\( sin(B) = \frac{4}{5} \) (substitution)
\( sin(B) = 0.8 \)
3. Cos Q = adjacent/hypotenuse
Adjacent = 12
Hypotenuse = 13
\( cos(Q) = \frac{12}{13} \) (substitution)
\( cos(Q) = 0.9231 \) (4 decimal places)
4. Cos S = adjacent/hypotenuse
Adjacent = 5
Hypotenuse = 13
\( cos(S) = \frac{5}{13} \) (substitution)
\( cos(S) = 0.3846 \) (4 decimal places)
Related Questions
Name an acute angle and give its measure.
Angle: ______ Measure: _____
Name an obtuse angle and give its measure. (2 points)
Angle: _____ Measure: _____
Name one right angle. (1 point
Name one straight angle. (1 point)
Answers
11. Angle KEF = 40°, Angle KEJ = 50°
12. Angle HEF = 115°, Angle KED = 140°
13. Angle JEF = 90°, Angle KEF = 90°
14. Angle DEF = 180°
Define the term geometry?The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.
11. Acute angles: Those angles are less than 90 degree angles.
Angle KEF = 40°
Angle KEJ = 50°
Angle KEH = 75°
Angle JEH = 25°
Angle HED = 65°
12. Obtuse angles: Those angles are more than 90 degree angles.
Angle HEF = 115°
Angle KED = 140°
13. Right angle: Those angles are 90 degree angle.
Angle JEF = 90°
Angle KEF = 90°
14. Straight angle: Those angles make 180 degree angle.
Angle DEF = 180°
To know more about geometry, visit:
https://brainly.com/question/247911
#SPJ1
pls help if u can tyyysm im struggling will gvie brainly
Answers
Answer:
Would buy Would not
again buy again Total
Aalora 77 16 93
Mederac 48 23 71
Total 125 39 164
71/164 = 43.3% of the customers purchased Mederac.
So the group that accounts for about 43% of the respondents is the percentage of the customers who purchased Mederac.
A coin is flipped five times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 5 from {H, T}, such as HHHTH. Assuming the coin is a fair coin, give the proba- bility of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads.
Answers
(a)there are four possible outcomes in the set and the coin is fair, the probability of this event is 4/32 or 1/8.
(b)There are 16 possible outcomes, and the probability of this event is 16/32 or 1/2.
(c) the probability of this event is 3/32.
(a) The event that the first and last flips come up heads can be expressed as the set {HHHHT, HHHTH, HHTHH, HTHHH}, which contains all the possible outcomes that have heads as the first and last flip. Since there are four possible outcomes in the set and the coin is fair, the probability of this event is 4/32 or 1/8.
(b) The event that there are at least two consecutive flips that come up heads can be expressed as the set {HHHHH, HHHHT, HHHTH, HHTHH, HTTHH, THHHH, THHHT, TTHHH}, which contains all the possible outcomes that have at least two consecutive heads. There are 16 possible outcomes, and the probability of this event is 16/32 or 1/2.
(c) The event that the first flip comes up tails and there are at least two consecutive flips that come up heads can be expressed as the set {THHHT, THHTH, THTHH}, which contains all the possible outcomes that have tails as the first flip and at least two consecutive heads. There are 3 possible outcomes in the set, and the probability of this event is 3/32.
To learn more about probability:
https://brainly.com/question/30034780
#SPJ4
What is the quotient? please hurry
8745/53
Answers
Answer:
165
Step-by-step explanation:
HELPPPPPP!!!!
I’ll give brainliest!!!! To best
Answers
Answer:
The last one
Step-by-step explanation:
Question 6
Sharron gets a total of £1050 each month.
She spends 3/10 of this on rent and 2/3 on food and bills.
How much money does Sharron have remaining?
Show your working out and write your answer in the box below.
Answers
2/3 = 0.66 and 3/10= 0.3
Then multiply both by the total amount
1050 x 0.66 = 693
1050 x 0.3 = 315
Add them both together
693 + 315 = 1008
Then subtract 1008 from 1050
1050-1008 = 42
Estimate the sum of 6107 and 2960 to the nearest thousand.
How u do this
Answers
Answer:
9,000
Step-by-step explanation:
You would add it together.
6107 + 2960 = 9,067
You round the thousand (9) to the 0.
The rule is that if any number next to the one your rounding is higher then 5 or is 5 then the rounding number will go up, if its 4 or below if won't go up but stay the same.
9,067 would not go up but stay the same because of the rule.
Estimations are guesses from the mind so an exact answer wouldn't work but its whatever.
A wire runs from the top of a 24 foot telephone
pole to a point on the ground 34 feet from the
base of the pole. What is the measure of the angle
of elevation from the point on the ground to the
top of the flagpole ? Round to the nearest degree.
Answers
Answer:35 degrees.
Step-by-step explanation:
The height of the pole is the opposite
The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 4 g(x) 24 6 0 -2 Which statement correctly compares the two functions? A. They have different end behavior as x approaches -∞ and different end behavior as x approaches ∞. B. They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞. C. They have the same end behavior as x approaches -∞ and the same end behavior as x approaches ∞. D. They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.
Answers
The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.
As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).
It therefore follows that as; x reduces (approaches -∞), the y value increases.
And, as x -increases (approaches +∞), the y-value decreases.
For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).
Consequently, as x reduces (approaches -∞), the y- values decrease.
And, as x increases (approaches +∞), the y-values decrease.
Ultimately, the two functions in discuss can be concluded to have; Choice C.
Read more on end behaviour of functions;
brainly.com/question/1365136
#SPJ1
Can yall please help me with this question
Answers
Answer:
B.
Step-by-step explanation:
Question content area top
Part 1
A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.12 lb, the mean of all of the weights is x=2.335 lb, and the standard deviation of the weights is s=1.631 lb.
a. What is the difference between the weight of 5.12 lb and the mean of the weights?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the weight of 5.12 lb to a z score.
d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.12 lb significant?
Question content area bottom
Part 1
a. The difference is 2.7852.785 lb.
(Type an integer or a decimal. Do not round.)
Part 2
b. The difference is enter your response here standard deviations.
(Round to two decimal places as needed.)
Answers
Answer: The difference of 2.785 lb is approximately 1.702 standard deviations away from the mean.
Step-by-step explanation: The difference between the weight of 5.12 lb and the mean of the weights is:
5.12 - 2.335 = 2.785 lb
To find how many standard deviations this is, we can use the formula:
z = (x - mu) / sigma
where z is the z-score, x is the weight, mu is the mean, and sigma is the standard deviation.
Plugging in the values, we get:
z = (5.12 - 2.335) / 1.631
z ≈ 1.702
Therefore, the difference of 2.785 lb is approximately 1.702 standard deviations away from the mean.
Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?
Answers
Answer:
14
Step-by-step explanation:
if sin 15° =x and sin 75° =y then which one of the following correct
Tan 15°=x/y
Tan 75° =x/y
Cot 15°=x/y
75°=y/x
Answers
Answer:
tan 75 =x/you is the my answer
192 ounces is equivalent to pounds?
Answers
Answer:
12.0625 pounds.
Step-by-step explanation:
To find your answer, divide the number of ounces by 16. The quotient is the number of pounds.
Find the slope and the y-intercept of the line. 7x-2y = -10 simplest form
Answers
Answer:
7/2 is the slope and 5 is the y-intercept
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
7x-2y=-10
subtract 7x on both sides
-2y=-7x-10
divide by -2 on both sides
y=(7/2)x+5
7/2 is the slope and 5 is the y-intercept.
A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent
Answers
Answer:
A. the total amount of the budget given to the country
Step-by-step explanation:
In order to know the answer, you have to check what the y-axis represents. In the graph above, it represents the "Budget Remaining," which is expressed in thousands of dollars. On the other hand, the x-axis represents the "Time," which is expressed in months.
Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's "negative slope." This means that as the number of months increases, the amount of money decreases.
After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alumni were in favor of firing the coach. a simple random sample of 100 alumni from the population of all living alumni was taken. 64 of the alumni in the sample were in favor of firing the coach. let p represent the proportion of all living alumni who favored firing the coach. suppose the alumni association wished to see if the majority of alumni are in favor of firing the coach. denote p true as the true(population) proportion of all living alumni who favor firing the coach.
A) what hypotheses should one test if one suspects that p true is less than 70%?
a) H0: ptrue<0.7; Ha:ptrue=0.7
b) H0: ptrue=0.7; Ha:ptrue<0.7
c) H0: ptrue\neq0.7; Ha:ptrue>0.7
d) H0: ptrue=0.7; Ha:ptrue>0.7
e) H0: ptrue\neq0.7; H a:ptrue=0.7
B) What is the P-value, P associated with the test statistic for the test in part A)?
a) 0.0476
b) 0.1902
c) 0.0951
d) 0.64
e) 0.06
C) Is it reasonable to conclude that Ptrue is less than 70%? Use a significant level of 10%.
a) YES
b) NO
Answers
Answer:
A)
a) H0: ptrue < 0.7; Ha: ptrue = 0.7
B)
d) 0.64
C)
b) No
Step-by-step explanation:
Hypothesis is a technique which is used to test the event against an alternative hypothesis. The null hypothesis is set as a basis which is tested against an alternative hypothesis to make a conclusion. This null hypothesis is analysed against a probability using significance level and then a conclusion is made to accept or reject the null hypothesis.
Hello I will need the answer for both of these thank you it’s not 2 problems it’s just asking to questions about one problem
Answers
Part 1: Solving for the amount of discount
Convert 50% into decimal by dividing it by 100%
\(50\%\div100\%=0.5\)Multiply 0.5 to the original price, to get the amount of discount
\(\$59.58\times0.5=\$29.79\)Therefore, the amount of discount is equal to $29.79.
Part 2: Solving for sale price.
Since we already have the amount of discount, subtract the discount to the original price, to get the sale price. That is
\(\$59.58-\$29.79=\$29.79\)Therefore, the sale price is $29.79.
You are playing a game of change where you roll a pair of die. If the sum of the die is 7 or 11, you win $25. Any other sum, loses you $15. You pay $2 to play. What are your expected winnings over time?
Answers
The expected winnings over the time are -73/9.
What is an outcome?The term "outcome" refers to a potential outcome in the field of probability theory. [1] A specific experiment can have any number of outcomes, and they are all distinct and unrelated to one another (only one outcome will occur on each trial of the experiment). A sample space is made up of every scenario that could happen during an experiment.
The four possible outcomes for the experiment in which we flip a coin twice are (H, T), (T, H), (T, T), and (H, H), where "H" denotes "heads" and "T" denotes "tails." Events, which are formally referred to as "groups" of outcomes, should not be confused with outcomes. When "at least one "heads"" is flipped, we can characterize an event as taking place.
(2, 5), (5, 2), (1, 6), (6, 1), (3, 4), (4,3), (6, 5), (5, 6)
These are the possible outcomes to win $25 out of 36 outcomes.
=(8/36)(25)
For the remaining 28 outcomes, we lose $15
=(28/36)(-15)
=((8×25)/36)-((15×28)/36)
=(50/9)-(105/9)
= -55/9
For each play $2 is the pay,
So, (-55/9)-2=-73/9
Therefore, the expected winnings over the time are -73/9
To know more about outcomes, visit:
https://brainly.com/question/17238771
#SPJ1
2. Two of the roots of x4 + ax3 +(a+3)x2 + 16x+b=0 are 1 and 3.
Find the values of a and b and the other roots.
Answers
Answer:
4567_567189263
Step-by-step explanation:
936578916
6. How many of the integers between 20 and 40 are
odd?
b)11
d)12
c12
Answers
Answer: 10
Step-by-step explanation:
List out the numbers:
20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40
There are 10 odd numbers
Otherwise a faster method:
Odd numbers occur every other number
There are 40 - 20 = 20 numbers between 20 and 40
20/2 = 10
10 odd numbers
what is the ratio of 3 cans of blue paint to 9 cans
of yellow paint
Answers
Answer:
1 to 3
Step-by-step explanation:
3 blue: 9 yellow
Divide each side by 3
3/3 : 9/3
1 blue: 3 yellow
1 to 3
Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins,
Alan uses 5 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 3 cup of oil and 1 egg. Alan has 4 cups of
oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan
wants to maximize the money raised at the bake sale. Let x represent the number of trays of blueberry muffins and
y represent the number of trays of bran muffins Alan bakes.
What are the constraints for the problem?
Answers
Answer:
1/3x + 1/2y < or equal to 12
2x + y < or equal to 12
x > or equal to 0
y > or equal to 0
1/3x + 1/2y < or equal to 4
Step-by-step explanation:
none
Answer:
A on edge :)
Step-by-step explanation:
edge2021
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+b.
x= 1, 2, 3
y= 11, 22, 33
Answers
Answer:
y= 11x
Step-by-step explanation:
find the slope: 22-11/2-1= 11/1 or 11
To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x
Help me pls I don’t know how to do this
Answers
Answer:
\(radius=6.68cm\)
Step-by-step explanation:
Formula to find radius:
\(r=\frac{C}{2\pi }\)
\(r=42/2\pi\)
\(r=42/2(3.14)\)
\(r=6.68cm\)
hope this helps......
when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
Answers
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
To learn more about ratio refer to :
https://brainly.com/question/2328454
#SPJ1
Which expression is undefined?
Answers
Answer:
C. 4/0
Step-by-step explanation:
You can't divide 4 by 0.
A. you would have gotten -0.5
B. you would have gotten 0
D. you would have gotten 0
Hope this help!! :)
Answer:
C. \(\frac{4}{0}\)
Step-by-step explanation:
you cannot divide by zero, therefore option C is the correct choice because \(\frac{4}{0}\) means 4 ÷ 0.
if 0 was the numerator, like in \(\frac{0}{4}\) or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.
i hope this helps! have a great day <3
T
yler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. Which type of inference test should Tyler use?
Answers
The appropriate test is the chi-squared test for association/independence.
What is an inference test?A statistical inference involves hypothesis testing about a population using a sample.
In this case, Tyler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. The appropriate test is the chi-squared test for association/independence.
Learn more about statistics on:
https://brainly.com/question/22044990
#SPJ1
Answer:
chi-squared test
Step-by-step explanation:
Got it right on the test.
A portfolio manager generates a 5% return in Year 1, a 12% return in Year 2, a negative 6% return in Year 3, and a return of 2% (nonannualized) in the first quarter in Year 4. The annualized return for the entire period is the closest to __________.
Answers
The annualized return for the entire period is the closest to 10.5%.
To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.
The formula for calculating the geometric mean return is:
Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1
Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.
Given the returns:
Year 1 return: 5% or 0.05
Year 2 return: 12% or 0.12
Year 3 return: -6% or -0.06
First quarter of Year 4 return: 2% or 0.02
Using the formula, we can calculate the annualized return:
Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1
Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1
Annualized Return = 1.121485^(1/3) - 1
Annualized Return ≈ 0.105 or 10.5%
Therefore, the annualized return for the entire period is approximately 10.5%.
For more question on return visit:
https://brainly.com/question/30761579
#SPJ8
ill give brainliest
Exterior Angle Theorem CLASSWORK
Answers
Answer & Step-by-step explanation:
7). C = 44
8). S = 40
9). S = 40
10). T = 118
You can write in the comments if you want an explanation.
Hope this help ;)
Answer:
Let the required angle be x
7). \(x + 22 = 66 \\ \boxed{x = 44°}\)
44° is the right answer.8). \(x + 60 = 110 \\ \boxed{x = 50°}\)
50° is the right answer.9). \(x + 75 = 105 \\ \boxed{ x = 30°}\)
30° is the right answer.10). \(x = 31 + 87 \\\boxed{ x = 118°}\)
118° is the right answer.