Under normal conditions, is the average body temperature the same for men and women? Medical researchers interested in this question collected data from a large number of men and women, and random samples from that data are presented in the accompanying table below. (a) Set up a hypothesis test for testing whether there is sufficient evidence to indicate that mean body temperatures differ for men and women. (b) What is the exact p-value? What doed this value indicate? (c) Construct a 95% confidence interval for the mean body temperatures between men and women.
The column vectors for the table are Men : <96.9,97.4,97.5,97.8,97.8,98,98.6,98.8>
and Women : <97.8,98,98.2,98.2,98.2,98.6,98.8,99.2,99.4
Answers
Therefore, we can say with 95% confidence interval that the true difference in mean body temperatures between men and women is between -1.144 and -0.056 degrees Fahrenheit.
a) Hypothesis test setup:
Let μ1 be the population mean body temperature of men and μ2 be the population mean body temperature of women.
Null hypothesis: H0: μ1 = μ2 (The mean body temperature is the same for men and women)
Alternative hypothesis: Ha: μ1 ≠ μ2 (The mean body temperature differs for men and women)
We will use a two-sample t-test for independent samples to test this hypothesis.
b) The exact p-value for the two-sample t-test with the given data is 0.0117. This p-value indicates that if the null hypothesis were true, the probability of obtaining a sample as extreme as the observed sample (or more extreme) is 0.0117. Since this p-value is less than the commonly used significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to indicate that mean body temperatures differ for men and women.
c) To construct a 95% confidence interval for the difference in population means (μ1 - μ2), we can use the following formula:
CI = (x1 - x2) ± tα/2,ν * SE
where x1 and x2 are the sample means for men and women, tα/2,ν is the t-value for the desired confidence level and degrees of freedom (df), and SE is the standard error of the difference in sample means.
Using the given data, we have:
x1 = 97.5, x2 = 98.4
s1 = 0.35, s2 = 0.366
n1 = 8, n2 = 9
df = n1 + n2 - 2 = 15
t0.025,15 = 2.131 (from t-distribution table)
SE = sqrt(s1^2/n1 + s2^2/n2) = 0.126
CI = (97.5 - 98.4) ± 2.131 * 0.126
CI = (-1.144, -0.056)
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Related Questions
Find the domain and range of the graph
A. D: X ≤ 5
R: y ≤ 7
B. D: X ≤ 7
R: y ≤ 5
C. D : X < 5
R: y < 7
D. D: X < 7
R: y < 5
Answers
Domain
The set of x-values that can be inputted into function f(x)Range
The set of y-values that are outputted by function f(x)Interval Notation
ApplicationStep 1: DefineLet's organize what is given to us from the problem.
We are given a graph of a function.
Step 2: SolveWe need to analyze the graph to determine the domain and range of the graph.
If we take a look at our x values, we see that our graph starts at x = 3 and continues infinitely.
∴ we can write the graph's x-values as [3, ∞), or x ≥ 3.
⇒ The domain of the graph is equal to x ≥ 3.
If we take a look at our y values, we see that our graph begins at y = 1 and also continues infinitely.
∴ we can write the graph's y-values as [1, ∞), or y ≥ 1.
⇒ The range of the graph is equal to y ≥ 1.
Answer∴ the answer to the question is equal to:
A. D: x ≥ 3
R: y ≥ 1
___
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___
Topic: Algebra I
Unit: Functions
Six calculators cost 180 determine the cost per calculator
Answers
Each calculator would cost 30 dollars (sorry if this isn't what you mean)
Why should we NOT be using linear regression when the response is qualitative/categorical? SELECT ALL THE ANSWERS that apply from the below list.a) Linear regression will overfit the datab) Linear regression will produce probabilities less than zero or bigger than onec) Linear regression will assume an ordering of the coded outcomesd) Linear regression will be too computationally expensive
Answers
The required answers are is Linear regression will assume an ordering of the coded outcomes.
Linear regression assumes that the response variable is continuous and can take any value between negative infinity and positive infinity. It also assumes that there is a linear relationship between the response variable and the predictor variables. When the response variable is qualitative/categorical, it means that the categories are distinct and not ordered. Using linear regression would assume an ordering of the categories, which is not valid.
a) Linear regression will overfit the data
Linear regression is designed to minimize the sum of the squared errors between the predicted values and the actual values. When the response variable is qualitative/categorical, the model will try to fit a line through the categories, which will result in overfitting. This means that the model will perform well on the training data but will not generalize well to new data.
b) Linear regression will produce probabilities less than zero or bigger than one
Linear regression assumes that the response variable can take any value between negative infinity and positive infinity. This means that the predicted values can be less than zero or bigger than one, which is not valid when the response variable is a probability or a proportion.
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A car travels 63 miles in 30 minutes. If the car travels at a constant speed, how many miles does the car travel in 50 minutes?
Answers
Answer: 105
Step-by-step explanation: If the car is going 63/30 is 2.1 which is the miles/minute, then to get to 50 miles you’d have to multiply 2.1 x 50 = 105 miles in 50 minutes.
Are the functions below acceptable or unacceptable to be wave functions? Justify for each of them. (i) Ψ1(x)=e^(−x5) (ii) Ψ2(x)=cos(x−(2π/3))
Answers
The function is not normalizable and cannot be a wave function.
A wave function must satisfy two important conditions. First, it must be normalizable, meaning its integral over all space is finite.
Second, it must be single-valued and continuous.
(i) The function Ψ1(x) = \(e^{-x^{5} }\) is acceptable as a wave function, since it is continuous everywhere and decays to zero as x → ±∞.
However, we must check if it is normalizable. The normalization condition for a one-dimensional wave function Ψ(x) is:
∫(-∞) to ∞ |Ψ(x)|²dx = 1
In this case, we have:
∫(-∞) to ∞ |Ψ₁(x)|² dx
= ∫(-∞) to ∞ \(e^{-2x^{5} }\) dx
This integral can be quite challenging to evaluate, but we can see that the integrand goes to zero faster than any power of x as x → ±∞.
Therefore, the integral is convergent and the function is normalizable.
Therefore, Ψ₁(x) is an acceptable wave function.
(ii) The function Ψ₂(x) = cos(x - 2π/3) is not acceptable as a wave function, since it is not normalizable.
The normalization condition for a one-dimensional wave function Ψ(x) is:
∫( -∞) to ∞ |Ψ(x)|² dx = 1
In this case, we have:
∫(-∞) to ∞ |Ψ₂(x)|² dx = ∫(-∞)to∞ cos²(x - 2π/3) dx
This integral is not convergent, since the integrand oscillates between 0 and 1 over an infinitely repeating interval.
Therefore, the function is not normalizable and cannot be a wave function.
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(7+ √18) (11 + √2) can be written in the form a+b√2, where a and b are integers. What are the values of a and b?
Answers
Answer: 83 + 40\(\sqrt{2}\)
a = 83 and b = \(40\sqrt{2}\)
Step-by-step explanation:
Firstly start by simplifying \(\sqrt{18}\) .
1. \(\sqrt{9 * 2}\)
2. \(3\sqrt{2}\)
Then multiply the parentheses with each other
1. 77 + 7\(\sqrt{2}\) + 33\(\sqrt{2}\) + 6
2. 83 + \(40\sqrt{2}\)
PLEASE HURRY IM TIMED WILL MARK BRAINLEST LOTS OF POINS
Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same amount of water as the small tank. Which statement describes the flow rate?
The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is –10 gal/min.
The flow rate of the large tank is –10 gal/min, and the flow rate of the small tank is 10 gal/min.
The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is –20 gal/min.
The flow rate of the large tank is –20 gal/min, and the flow rate of the small tank is 20 gal/min.
Answers
Answer? the answer is A
Step-by-step explanation:
is A
Ralphie's dad has a nutritionist who instructed him to consume less than 2,187 calories per day. He has already consumed 1,571 calories today and wants to eat some fruit bars that are 64 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?
Answers
Answer:
1571 + 64x < 2187
Step-by-step explanation:
Eric's house is 1/4 mile from the library. Min's house is 5 times as far from the library as Eric's house. How far is Min's house from the library?
Answers
Answer: 1 1/4 mile
Step-by-step explanation:
Solve the following system of equations. Show your work.
y=−3x+5
5x−4y=−3
Solution:
Answers
5x-4y=-3
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
X=1
10 of 12
Given that 8x – 5y = 24
Find x when y - 8
X =
Answers
Answer:
x = 8 because of the explanation given in the image above hopefully it helps :) let me know if you have any questions!
HELP NEEDED ASAP!
(In the diagram shown, assume each square on the grid is 1 centimeter in length.)
What is the area, in square meters, of the actual park?
What is the scale factor?
Answers
Answer:
30 square feet
Step-by-step explanation:
scale F = 43.744532
Ginger bought a sweater marked half price from its original price of $100. If she paid 4% sales tax, how much did she spend on the sweater?
Answers
Answer:
It should be $52
Step-by-step explanation:
Half of $100 is $50 and 4% of $50 is $2 so assuming sales tax is calculated after the discount the answer is $52. If sales tax is calculated before the discount than the answer is $54.
a parabolic archway is 12 meters high at the vertex. at a height of 10 meters, the width of the archway is 8 meters. how wide (in m) is the archway at ground level? (round your answer to one decimal place.)
Answers
The archway is about 20.8 meters wide at ground level.
We can start by using the formula for a parabolic archway:
y = a\((x-h)^{2}\) + k
where y is the height, x is the width at a certain height, h is the horizontal distance from the vertex to the center of the archway, k represents the height of the vertex, and a determines the shape of the parabola.
We know that the archway is 12 meters high at the vertex, so we can plug in the values we have:
12 = a\((0-h)^{2}\) + k
12 = a\(h^{2}\) + 12
Simplifying this equation, we get:
a = -1/(4h)
We also know that at a height of 10 meters, the width of the archway is 8 meters. Plugging in these values:
10 = a\((4-h)^{2}\) + 12
10 = -1/(4h)\((16-8h)^{2}\) + 12
Simplifying this equation, we get a quadratic equation in terms of h:
0 = 2\(h^{2}\) - 3h - 14
h = 2 or h = -7/2
Since h represents a distance, it cannot be negative, so we take h = 2.
Now we can find the width of the archway at ground level (where y = 0):
0 = a\((x-2)^{2}\) + 12
-a\((x-2)^{2}\) = 12
-a = 12/\((x-2)^{2}\)
Putting our value for a, we get:
1/(4h) = 12/\((x-2)^{2}\)
Solving for x, we get:
x = 20.8 meters
Therefore, the archway is about 20.8 meters wide at ground level.
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how many different possible options of combinations are available in binary code using eight bits?
1. 64
2. 16
3. 128
4. 256
Answers
There are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.
What are binary codes?A binary code uses a two-symbol system to represent text, computer processor instructions, or any other data.
The binary number system's "0" and "1" are frequently employed as the two symbols in this system.
Each character, command, etc. is given a set of binary digits, often referred to as bits, by the binary code.
A binary string of eight bits (also known as a byte) can, for instance, represent any of 256 possible values and hence a vast range of distinct things.
8 bits, or 8 binary digits, can be combined in 2⁸=256 different ways.
Some of these combinations are shown in the following table.
(The number in parentheses is the equivalent in decimal form.)
Therefore, there are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.
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Can someone help with problem 1 and 2
Answers
To find the sum of interior angles of a polygon, multiply the number of triangles formed inside the polygon to 180 degrees.
How to find the sum of interior angles ?
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.Each interior angle of a regular hexagon has a measure of 120°. Because the sum of these angles will always be 360°, then each exterior angle would be 60° (360° ÷ 6 = 60°). If each exterior angle is 60°, then each interior angle is 120° (180° − 60° = 120°).The angles that lie inside a shape, are said to be interior angles, or the angles that lie in the area bounded between two parallel lines that are intersected by a transversal are also called interior angles.
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Please help! This is due in 40 minutes!
Answers
Answer:
A=1/2
Step-by-step explanation:
the point A is half way to the point of 2 therefore A is 1/2
Find the side length, b.
Round to the nearest tenth.
B=90°
a=6
c=7
Answers
Answer:
b = 9.2
Step-by-step explanation:
Using the Pythagorean theorem (in your case): \(a^{2} +c^{2} = b^{2}\)
Plug in your values and solve for x:
\(6^{2}+7^{2} =b^{2}\\36+49 =b^{2} \\85 = b^{2} \\b = \sqrt{85} \\b = 9.2\)
Brian was thinking of a number. Brian
halves it and gets an answer of 1.6. What
was the original number?
Answers
Answer:
\(3.2\)
Step-by-step explanation:
let the number be x
\(x \times \frac{1}{2} = 1.6 \\ \frac{x}{2} = 1.6 \\ x = 2 \times 1.6 = 3.2\)
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack.
Based on this information, if 700 students were at the assembly, how many students could be
expected to be carrying a backpack?____
Answers
Answer:
490 students.
Step-by-step explanation:
7 out of 10 students would be a percentage of 70% which is 0.7 in decimal form. To find out how many students would be expected to be carrying a backpack out of 700 students, 700 * 0.7 = 490 students.
True or False (50 question)
_____ 1. The sum of the probabilities can give one and sometimes exceed one
_____ 2. The alpha value indicates the % of error allowed in the investigation
_____ 3. The critical value is obtained from the formulas applied to each Test
_____ 4. H0 is rejected when the manual value is greater than the critical value
_____ 5. All probability is between zero and 1
_____ 6. The ANOVA Test uses the entire bell
_____ 7. There are 2 types of hypotheses
_____ 8. The null hypothesis may posit that there is no significant difference between the statistic and the parameter or between 2 parameters
_____ 9. When α =.05 then you allow 95% error in the study
____ 10. The critical value is where the rejection zone for H0 begins
. ____ 11. In the binomial distribution r can be greater than n.
____ 12. If H0 ≤ 30 then H1 cannot be determined
____ 13. In the normal distribution the probability is in agreement to the total deviations you find
____ 14. In an incompatible event the probabilities must all give to one
____ 15. In Classical Probability the sample space is always known.
____ 16. In Binomial when n =30, the Pr can give greater than one.
____ 17. All probability is in Pr ≤ 1 and zero
____ 18. In the Binomial Distribution the Pr (0) is part of the probabilities.
____ 19. In Poison Distribution, N is known and its average N is used.
____ 20. Incompatible events are mutually exclusive.
____ 21. The [Pr (Oc) + Pr (Not Oc)] can give greater than one, sometimes.
____ 22. Incompatible events can be seen in classical probability
______23. The variable "eye color" is a qualitative variable, nominal
______24. The "scatter diagram" illustrates the relationship between 2 variables.
______25. In the range of grouped data you subtract the extreme values.
______26. The independent variable is manipulated by the researcher.
______27. In Poison, with lambda = 20, then Pr (X >1) = 1 – [Pr (0, 1)]
______28. In the Binomial distribution, with n=10, the Pr (r > 1) = 1 –[Pr (0, 1)]
______29. The Pr (Oc) + Pr (Not Oc) = 1
______30. In Normal distribution the sum of the Probabilities equals one.
_______31. In the Binomial Distribution r can be greater than n.
_______32. The bar chart is used to illustrate the relationship of nominal qualitative variables
_______33. In Binomial Distribution, with n =25, the sum of all Pr = 1
_______3. 4. In the Poison Distribution, with lambda = 30, the Pr (X = 31) is > 1
_______35. The null and alternate hypotheses are mutually exclusive.
_______36. Let a and b be independent events, Pr(No Oc) = 1 –[Pr(a) Pr (b)].
_______37. Let A and B be Dependent Events, Pr(A)Pr (B/A) = Pr(B)Pr (A/B)
_______38. The Correlation Coefficient can be negative
_______39. The Scatter Plot illustrates the dispersion of the data
_______40. All Pr (Oc) give to one.
_______41. When Z is negative also the probability found
_______42. In Normal Dist when you have Pr(Z ≤ 3) = 1- [Pr (Z=3)]
_____43. The arithmetic average is sought by adding all the data/(n-1)
_____44. The location of the median is found by looking for (n + 1) / 2
_____45. Median of ungrouped data does not use outliers
_____46. In the Normal Dist Z = total of the events
_____47. When Z = 1, the probability = .5 - .3413
_____48. Variance in grouped data is divided by n + 1
_____49. If r > 1 then the variables are directly proportional
_____50. Every probability is a proper fraction
Answers
1. False: The sum of the probabilities can never exceed one.
2. False: The alpha value indicates the maximum level of error allowed in the investigation.
3. True: The critical value is obtained from the formulas applied to each test.
4. False: H0 is rejected when the test statistic value is greater than the critical value.
5. True: All probability is between zero and one.
6. False: The ANOVA test uses only a portion of the bell curve.
7. True: There are two types of hypotheses.
8. True: The null hypothesis may posit that there is no significant difference between the statistic and the parameter or between two parameters.
9. True: When α = 0.05, it means that the level of significance is 5%, not that you allow 95% error in the study.
10. True: The critical value is the point at which the rejection zone for H0 begins.
11. False: In binomial distribution, r cannot be greater than n.
12. False: The value of H1 depends on the alternative hypothesis.
13. False: In a normal distribution, the probabilities can never exceed one.
14. True: In incompatible events, the sum of probabilities must be one.
15. True: In classical probability, the sample space is always known.
16. False: When n = 30 in a binomial distribution, Pr can never be greater than one.
17. True: All probability values are between 0 and 1.
18. True: In binomial distribution, Pr(0) is one of the probabilities.
19. True: In Poisson distribution, N is known, and its average N is used.
20. True: Incompatible events are mutually exclusive.
21. False: The sum of Pr(Oc) and Pr(Not Oc) can never exceed one.
22. True: Incompatible events can be seen in classical probability.
23. True: The variable "eye color" is a qualitative variable, nominal.
24. True: The "scatter diagram" illustrates the relationship between two variables.
25. True: In the range of grouped data, you subtract the smallest value from the largest value.
26. True: The independent variable is manipulated by the researcher.
27. False: In Poisson distribution, Pr(X > 1) = 1 - Pr(0) - Pr(1).
28. False: In binomial distribution, Pr(r > 1) = 1 - Pr(0) - Pr(1).
29. True: The sum of Pr(Oc) and Pr(Not Oc) is always one.
30. True: In normal distribution, the sum of probabilities equals one.
31. False: In binomial distribution, r cannot be greater than n.
32. True: The bar chart is used to illustrate the relationship of nominal qualitative variables.
33. True: In binomial distribution, the sum of all Pr is 1.
34. False: In the Poisson distribution, Pr(X = 31) is always less than or equal to 1.
35. False: The null and alternative hypotheses are not mutually exclusive.
36. False: The given formula is only true for independent events.
37. True: The given formula is only true for dependent events.
38. True: The correlation coefficient can be negative.
39. True: The scatter plot illustrates the dispersion of the data.
40. True: The sum of all Pr(Oc) is always one.
41. True: When Z is negative, the probability is also negative.
42. False: In normal distribution, Pr(Z ≤ 3) = Pr(Z = 3) + Pr(Z < 3).
43. False: The arithmetic average is found by adding all the data and dividing by n.
44. True: The location of the median is found by looking for (n + 1) / 2.
45. True: Median of ungrouped data does not use outliers.
46. False: In normal distribution, Z is equal to the number of standard deviations away from the mean.
47. False: When Z = 1, the probability is 0.3413, not 0.5 - 0.3413.
48. True: Variance in grouped data is divided by n - 1.
49. False: If r > 1, then the variables are not directly proportional.
50. True: Every probability is a proper fraction.
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I WILL GIVE YOU BRAINLIEST PLS HURRY: Two siblings, sibling A and sibling B, are saving money for their summer vacation. The amount of money that sibling A has in their savings account, y, can be represented by the equation y = 7x + 40, where x represents the number of weeks. Sibling B's savings can be represented by the equation y = 5x + 60.
Based on the graph of this system of linear equations, after how many weeks will their savings accounts have the same amount of money?
100 weeks
12 weeks
10 weeks
5 weeks
Answers
The number of weeks that their savings accounts would have the same amount of money: C. 10 weeks.
How to determine the number of weeks that their savings accounts would be equal?Based on the information provided above, the amount of money that sibling A has in his or her savings account, y, can be represented by the following equation:
y = 7x + 40 .......equation 1.
where:
x represents the number of weeks.
Similarly, the amount of money that sibling B has in his or her savings account, y, can be represented by the following equation:
y = 5x + 60 .......equation 2.
By equating equation 1 and equation 2, we have the following:
7x + 40 = 5x + 60
7x - 5x = 60 - 40
2x = 20
x = 20/2
x = 10 weeks.
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1/2 plus blank equals 3/4
Answers
Answer:
1/4
Step-by-step explanation:
1/2 + 1/4= 3/4
Answer:
1/2 + 1/4 = 3/4
Step-by-step explanation:
can I please have brainliest? :)
Hi My teacher hasn't been in online class for a week and I dont get the math and I need help
Answers
Sebastian, this is the solution to the first problem you uploaded:
Let's recall that the interior angles of a triangle add up to 180 degrees.
Then if E =
8 - 5xt-8х - 5x
how do I solve this?
Answers
Answer:
\(8 - 5xt - 13x\)
Step-by-step explanation:
1) Collect like terms.
\(8 - 5xt + ( - 8x - 5x)\)
2) Simplify.
\(8 - 5xt - 13x\)
Therefor the answer is 8 - 5xt - 13x.
Which of these equations is false
Answers
Answer:
d
Step-by-step explanation:
\(1.2 \times 10^6 =1200000 \neq 12000000\)
Convert 36 pounds to kilograms. (1 pound = 0.454 kilogram)
79 kilograms
7.9 kilograms
163.44 kilograms
16.344 kilograms
Answers
The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.
36 pounds is equal to 16.344 kilograms.
Given that we need to convert 36 pounds to kilograms.
We have 1 pound = 0.454 kilogram,
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.454 kilogram.
Given that we have 36 pounds, we can multiply this value by the conversion factor to find the equivalent weight in kilograms:
36 pounds x 0.454 kilogram/pound = 16.344 kilograms
Therefore, 36 pounds is equal to 16.344 kilograms.
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Which of the equations below have one solution? Select all that apply. 8x–3x+5=5x–2 9=3(5x–2) 6x–(3x+8)=16 9x+4–x=4(2x+1)
Answers
Answer:
The equations that have one solution are 9=3(5x–2) and 6x–(3x+8)=16
Step-by-step explanation:
To determine which equations have one solution, we will determine the solution(s) to all the equations (that is, find the value of the unknown, x).
1. 8x–3x+5=5x–2
This becomes
5x+5=5x-2
Subtract 5x from both sides
5x-5x+5 = 5x-5x-2
0+5 = 0-2
This equation has no solution
2. 9=3(5x–2)
First, open the bracket by distributing 3
∴ 9 = 15x - 6
Then, add 6 to both sides
9+6 = 15x -6 +6
15 = 15x
Divide both sides by 15
15/15 = 15x/15
1 = x
∴ x = 1
This has one solution.
3. 6x–(3x+8)=16
Open the bracket by distributing –1
6x -3x -8 = 16
3x - 8 = 16
Add 8 to both sides
3x -8 +8 = 16 + 8
3x = 24
Divide both sides by 3
3x/3 = 24/3
x = 8
This has one solution.
4. 9x+4–x=4(2x+1)
This becomes
9x -x +4 = 4(2x+1)
Then, 8x +4 = 4(2x+1)
Open the bracket by distributing 4
8x +4 = 8x +4
This is true for any value of x.
Hence, the equations that have one solution are 9=3(5x–2) and 6x–(3x+8)=16.
Find the perimeter and area of a 30-60-90 right triangle with a hypotenuse of 8 m
Answers
the perimeter and area is the hypotenuse multiplied
Find:-
1) Complement of 75 degree
2) Complement of 40 degree
3) Complement of 71 degree
4) Complement of 101 degree
Answers
Given :
Some angles in degree.
To Find :
1) Complement of 75 degree
2) Complement of 40 degree
3) Complement of 71 degree
4) Complement of 101 degree
Solution :
We know, two angles are complement when their sum is 90 degree.
1) Complement of 75 degree is, 90 - 75 = 15 degree.
2) Complement of 40 degree is, 90 - 40 = 50 degree.
3) Complement of 71 degree is, 90 - 71 = 19 degree.
4) Complement of 101 degree is, 90 - ( -101 ) = 191 degree.
Hence, this is the required solution.