To calculate the size of the missing angle when one angle is 127 degrees and another angle is 37 degrees, we subtract the sum of these two angles from 180 degrees. The missing angle, denoted by x, is equal to 16 degrees.
The sum of the angles in any triangle is always 180 degrees. In this scenario, we are given two angles: one angle measures 127 degrees, and the other angle measures 37 degrees. To find the size of the missing angle, we subtract the sum of these two angles from 180 degrees.
Let's calculate:
180 - (127 + 37) = 16.
Therefore, the missing angle, denoted by x, has a measurement of 16 degrees.
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Which side is opposite 0
The value of opposite side of angle θ would be,
⇒ EF
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that,
A right triangle EFD is shown in figure.
And, At angle E, right angle is shown.
We know that;
The Opposite side of a angle is called perpendicular side.
Hence, The value of opposite side of angle θ would be,
⇒ EF
Thus, Option A is true.
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Isabella and Tom leave from the same location at
9:45 AM. Isabella drives north at a constant speed of
65 kilometers per hour, and Tom drives south at a
constant speed of 77 kilometers per hour.
25
At what time will Isabella and Tom be 639 km apart?
A) 1:15 PM
B) 2:15 PM
C) 3:30 PM
D) 4:30 PM
A scale that allows us to rank individuals or objects, but not to say anything about the meaning of the differences between the ranks, is a(n)?
A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
What is an ordinal scale?An ordinal scale is one that allows us to rank individuals or objects without saying anything about the significance of the differences between the ranks. The ordinal scale is the second level of measurement that reports data ranking and ordering without determining the degree of variation between them. Cases in the same class are regarded as equivalent. Movie ratings, political affiliation, military rank, and other variables that use ordinal scales are examples."Movie ratings" is an example of an ordinal scale. Students in a class, for example, could rate a movie using the scale below.Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
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before i can open my gym locker, i must remember the combination. two of the numbers of this three-term sequence are 17 and 24, but i have forgotten the third, and do not know which is which. there are 40 possibilities for the third number. at ten seconds per try, at most how long will it take me to test every possibility? the answer is not 40 minutes!
Therefore, 6 minutes and 40 seconds are needed to test possibilities.
Describe combination.Combinations are sometimes known as selections. Combinations are the results of selecting elements from a set assortment. Nothing specific is being organized here. We are choosing them. To denote the number of unique r-selections or combinations among a set of n items, we write n C r. Combinations are distinct from arrangements or permutations.
Here,
The first two numbers in this three-term series are 17 and 24, and the third one remains a mystery.
Given that there are 40 options for the third number and that each try takes 10 seconds, we have 40 x 10 seconds, or 400 seconds, to try every possible combination.
Thus,
=> 400 seconds is equals to 6 minutes and 40 seconds
Therefore, 6 minutes and 40 seconds are needed to test every scenario.
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4. 32, 16, 8, ___ ___ ___
Rule: _____________
Answer:
32, 16, 8, 4, 2, 1
Step-by-step explanation:
32, 16, 8, 4, 2, 1
Rule: Divide by 2 the previous number
A runner’s goal is to complete a mile in 4 minutes or less. The runner’s speed is 20 feet per second. Does the runner meet the goal? Explain.
Answer:
no, because the runner is short by 480 feet
Step-by-step explanation:
there are 5280 feet in 1 mile
5280 feet= 1 mile 20 feet= 1 second (times by 240)
4800 feet= 240 seconds
he is 5280-4800= 480 feet less
please give me brainliest!!<3
we have a study involving 3 different groups that each contain 9 participants (27 total). what two degrees of freedom would we report when we report the results of our study?
Using degree of freedom,
Two degrees of freedom would we report when we report the results of our study is (2,24).
Degree of freedom:
The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.
degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters
DF = N – P
Where:
N = sample size
P = the number of relationships
We given that,
Number of groups , k = 3
Number of total participants, n = 27
Degrees of freedom for F-test is F(k-1,n-k)
= F(3-1 , 27-3)
= F(2,24)
Hence, (2,24,) are required two degrees of freedom.
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Kathy ell ome pie at a bakery he cut each pie into 6 piece to ell individually he ell 5/6 of a pie each hour How many whole pie did Kathy ell in 36 hour?
Step-by-step explanation:
she sell 5piece out of 6 per hour
for 36 hour, she sell:
5 × 36 = 180piece of pie
one pie is cut to 6 piece
180/6 = 30pie
If xy = 13 and both x and y are positive integers, then what is the sum of x + y?.
The sum of x + y is always equal to 14.
What is positive integers?
Positive integers are the numbers that we use to count: 1, 2, 3, 4, and so on. A collection of positive integers excludes numbers with a fractional element that is not equal to zero and negative numbers.
Since x and y are positive integers, we can find the possible values of x and y by finding the factors of 13. The positive integer factors of 13 are 1 and 13. Therefore, the possible pairs of x and y are (1, 13) and (13, 1).
The sum of the two values for x and y in each pair is 14.
So, The sum of x + y is always equal to 14.
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m∠R=140 and m∠S=100. Find the m∠T. The diagram is not on the scale.
Answer:
m<T = 20°
Step-by-step explanation:
m<R = 140°
m<S = 100°
The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:
m<S = m<U = 100°
Sum of all interior angles of a quadrilateral = 360°
Therefore:
m<T = 360° - (m<S + m<U + m<R)
m<T = 360° - (100° + 100° + 140°) (substitution)
m<T = 20°
A city has a population of 370,000 people. Suppose that each year the population grows by 6.5%. What will the population be after 12 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
I think the answer is 787765.609372 which rounds to 787766.
I hope this helped
Answer:
658,600 after 12 years
Step-by-step explanation:
Convert 6.5% into the decimal: 0.065Multiply the current population by the decimal: 370,000(0.065)=24,050Multiply 24,050 by 12 years: 24,050(12)= 288,600Add the answer to the current population: 370,000+288,600= 658,600That should be correct I think
. In this exercise, we will see monotone convergence and dominated convergence generalize some of the results we learned in Section 1. Let A∈A and (An)n∈N⊆A. (a) (0.5 pt) Use monotone convergence to show that if An⊆An+1 for n∈N and A=⋃n∈NAn, then limn→[infinity]μ(An)=μ(A). (b) (0.5 pt) Use monotone/dominated convergence to show that if μ(A1)<[infinity],An⊇An+1 for n∈N and A=⋂n∈NAn, then limn→[infinity]μ(An)=μ(A). (c) (0.5 pt) Use dominated convergence to show that if limn→[infinity]1An=1A almost surely, and there is B∈A such that An⊆B and μ(B)<[infinity], then μ(A)<[infinity] and limn→[infinity]μ(An)=μ(A).
Monotone convergence theorem states that if A∈A and (An)n∈N⊆A, if An⊆An+1 for n∈N and A=⋃n∈NAn, then limn→[infinity]μ(An)=μ(A). Proof: Define B1=A1, Bn=An∖An−1 for all n∈N, then we have ⋃n∈NAn=⋃n∈NBn and Bn∩Bm=∅ for all n,m∈N and n≠m.
Then we can write μ(⋃n∈NAn)=∑n=1∞μ(An)since μ is countably additive, and we have∑n=1∞μ(An)=limn→[infinity]∑k=1nμ(Ak)=limn→[infinity]μ(⋃k=1nAk)=μ(⋃n∈NAn).Therefore, limn→[infinity]μ(An)=μ(A). We can use monotone convergence/dominated convergence to show that if μ(A1)<[infinity], An⊇An+1 for n∈N and A=⋂n∈NAn, then limn→[infinity]μ(An)=μ(A).Proof: Define C1=A1, Cn=Cn−1∩An for all n∈N, then we have⋂n∈NAn=⋂n∈NCn and Cn⊆Cn+1 for all n∈N.
Then we can write μ(⋂n∈NAn)=μ(⋂n∈NCn)and thenμ(⋂n∈NAn)=limn→[infinity]μ(Cn) since Cn⊆Cn+1, and μ is monotonic, we can apply monotone convergence theorem and conclude thatlimn→[infinity]μ(Cn)=μ(⋂n∈NCn)=μ(A).Therefore, limn→[infinity]μ(An)=μ(A).Dominated convergence theorem states that if limn→[infinity]1An=1A almost surely, and there is B∈A such that An⊆B and μ(B)<[infinity], then μ(A)<[infinity] and limn→[infinity]μ(An)=μ(A).Proof: For all n, we have|1An|≤1B∈L1, and 1An→1A almost surely. Therefore, by the dominated convergence theorem, we have∫|1An−1A|dμ→0 as n→∞.Since 1An→1A almost surely, we haveμ(An)→μ(A) as n→∞. Therefore, limn→[infinity]μ(An)=μ(A).
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Monotone convergence theorem states that if A∈A and (An)n∈N⊆A, if An⊆An+1 for n∈N and A=⋃n∈NAn, then limn→[infinity]μ(An)=μ(A).
For Proof:
To Define B1=A1, Bn=An∖An−1 for all n∈N, we have ⋃n∈NAn=⋃n∈NBn and Bn∩Bm=∅ for all n,m∈N and n≠m.
Then we will write μ(⋃n∈NAn)=∑n=1∞μ(An)
since μ is countably additive, and we have;
∑n=1∞μ(An)=limn→[infinity]∑k
=1nμ(Ak)=limn→[infinity]μ(⋃k=1nAk)
=μ(⋃n∈NAn).
Therefore, limn→[infinity]μ(An)=μ(A).
We will use monotone convergence/dominated convergence to show that if μ(A1)<[infinity], An⊇An+1 for n∈N and A=⋂n∈NAn,
then limn→[infinity]μ(An)=μ(A).
Proof:
To Define C1=A1, Cn=Cn−1∩An for all n∈N, then ⋂n∈NAn=⋂n∈NCn and Cn⊆Cn+1 for all n∈N.
Then we can write μ(⋂n∈NAn)=μ(⋂n∈NCn)and thenμ(⋂n∈NAn)=limn→[infinity]μ(Cn) since Cn⊆Cn+1, and μ is monotonic,
Now we can apply the monotone convergence theorem and conclude thatlimn→[infinity]μ(Cn)=μ(⋂n∈NCn)=μ(A).
Therefore, limn→[infinity]μ(An)=μ(A).
For convergence theorem states that if limn→[infinity]1An=1A almost surely, and there is B∈A such that An⊆B and μ(B)<[infinity], then μ(A)<[infinity] and limn→[infinity]μ(An)=μ(A).
To Proof For all n, we have|1An|≤1B∈L1, and 1An→1A almost surely.
Therefore, by the dominated convergence theorem, we have∫|1An−1A|dμ→0 as n→∞.Since 1An→1A almost surely μ(An)→μ(A) as n→∞.
Therefore, limn→[infinity]μ(An)=μ(A).
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QUESTION #4 PLEASE HURRY
Answer:
A, I had to look for a second
Step-by-step explanation:
ACD and CEB are equal and CDE is not equal to either of them
so the right answer is A
What is a simple way to tell that 112
is not the slope of this graph?
On a coordinate plane, a line goes through points A (0, 2.5) and B (0.833, 0).
Since the slope is -1.2 and not 112, we can conclude that 112 is not the slope of this graph.
To determine whether 112 is the slope of the line that goes through points A(0, 2.5) and B(0.833, 0), we can use the slope formula:
\(slope = (y_{2} - y_{1} ) / (x_{2} - x_{1} )\)
wherewhereand\((x_{1} , y_{1} )\)and \((x_{2} , y_{2} )\) are the coordinates of two points on the line.
Using the coordinates of points A and B, we get:
slope = (0 - 2.5) / (0.833 - 0) = -3 / 2.5 = -1.2
Since the slope is -1.2 and not 112, we can conclude that 112 is not the slope of this graph.
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A shop sells stuffed animals. The sales team calculated that today's bear sales were 5 more than 5/4ths the number of all
other stuffed animals combined. If they sold 25 stuffed bears today, how many other animals were sold?
Answer:
25
Step-by-step explanation:
25-5=20, 5/4*20=25
Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 388 pounds. Agriculture scientists believe that the new fertilizer may increase the yield. State the appropriate null and alternate hypotheses.the null hypothesis is H0: mu (=,<,>,=\) ________
the alternate hypothesis H1: mu (=,<,>,=\)_______
In hypothesis testing, the null hypothesis (H0) represents the default assumption or the status quo, while the alternative hypothesis (H1) represents the opposing or alternative claim. The appropriate null and alternative hypotheses for this situation can be stated as follows:
Null hypothesis (H0): The mean number of pounds of fruit with the new fertilizer is equal to the mean number of pounds of fruit with the old fertilizer (mu = 388).
Alternative hypothesis (H1): The mean number of pounds of fruit with the new fertilizer is greater than the mean number of pounds of fruit with the old fertilizer
\(\(\mu > 388\)\)
This notation indicates that the mean value, represented by the Greek letter μ, is greater than 388.
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Yesterday, the temperature at noon was 22.5 degrees. By midnight, the temperature had decreased by 27.7 degrees. What was the temperature at midnight?
Answer:
54.23
Step-by-step explanation:
If that not a choice simpfly
6 * 10^8 is how many times larger as 2 * 10^3
Answer:599998000Step-by-step explanation: their is your answer
make a the subject of this formula:
p=n^2+a/n+a
Step-by-step explanation:
we multiply both sides by the denominator on the right to eliminate fraction, so we have..
p*(n+a)= (n²+a/n+a)*n+a
so we have
p(n+a)= n²+a
so opening the bracket on the left hand side we have,
p*n+p*a
pn+pa
so,
pn+pa= n²+a
so collecting like terms we have,
pn-n²= a-pa
so removing a from the equation on the right hand side we have,
pn-n²=a(1-p)
dividing both sides by the equation in the bracket on the right hand side, we have..
pn-n²/(1-p)= a
a = pn-n²/1-p
or
a = n(p-n)/1-p
how many 20mm long wire pieces could be cut from a 1 meter long wire piece
Olivia opens a bank account and deposits $514.During the month Olivia withdraws $120.00 and deposits $40. What is her new balance?
Answer:
the answer is 434 because a deposit is adding money into an account and she deposited 514 and removed 120 and added 40 back.
Can anyone help me with this
Answer:
66
Step-by-step explanation:
180-119=61
53+61-180
=66
if f(1) = 12, f ' is continuous, and 6 f '(x) dx 1 = 16, what is the value of f(6)
To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.
Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:
∫[a to b] f '(x) dx = f(b) - f(a)
In this case, we are given that:
∫[1 to 6] 6 f '(x) dx = 16
We can simplify the integral:
6 ∫[1 to 6] f '(x) dx = 16
Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:
6 f(6) - 6 f(1) = 16
Substituting the given value f(1) = 12:
6 f(6) - 6(12) = 16
6 f(6) - 72 = 16
Next, we isolate the term with f(6):
6 f(6) = 16 + 72
6 f(6) = 88
Finally, we solve for f(6) by dividing both sides by 6:
f(6) = 88 / 6
f(6) = 44/3
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A diver leaves the diving board 9.25 feet above the surface of the pool and travels downward. His dive carries him 3.25 feet below the surface of the pool. What is the total distance of the dive?
What bed level deviation is considered precise.
Answer: A levelling map viewed in Optoprint shows a 0.7mm deviation 'high' in the rear right corner vs the front left 'home' position of the bed.
Step-by-step explanation:
please help 15pts and will give brainlist!!
Answer:
1st ans
(x+15)=135(alternate angle)
x=135-15
x=120
2nd ans
(8x-4)=92(corresponding angle)
8x=92+4
x=96/8
x=12
3rd ans
(x+1)=51(vertically opposite angle)
x=51-1
x=50
PLEASE HELP ASAP!!!!!! Suppose a triangle has sides 1, 1, and 1. Which of the following must be true? A. The triangle in question is a right triangle. B. The triangle in question is not a right triangle. C. The triangle in question may or may not be a right triangle.
Answer:
B.
Step-by-step explanation:
It will be completely symmetrical (a.k.a. Equilateral Triangle) with all 3 angles 60°, whereas a right triangle has one side of 90°.
Answer:
b
Step-by-step explanation:
If all sides are the same it is an equilateral triangle
A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 members, 44 of which are Demonstrators and 56 of which are Repudiators. (a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators
The left and right ends of the normal probability distribution extend indefinitely, never quite touching the horizontal axis. True False
It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.
The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.
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Ellora wants to accumulate $150000.00 in an RRSP by making annual contributions of $5000.00 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.
a. 18.202125
b. 18.676765
c. 17.455483
d. 17.585794
e. 18.076686
Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.
First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is:
\(FV = (C * [(1 + r)^n - 1] / r)\),
For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)
We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)
Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.
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