What conjecture can you make about the sum of the first 33 positive odd numbers?
Answers
Answer:
The number series 1, 3, 5, 7, 9, . . . . , 59. Therefore, 900 is the sum of first 30 odd numbers.
The conjecture we can make is C. The sum is equal to the no. of terms squared.
According to the given question we have been asked What conjecture can you make about the sum of the first 33 positive odd natural numbers.
We know that the sum of first 'n' odd natural numbers is n².
So, the sum of first 33 odd natural numbers is (33)² which is = 1089.
Let us prove this by AP.
First term(a₁) is = 1.
common difference(d) = 2.
No. of terms (n) = 33.
∴ aₙ = a₁ + (n-1)d
aₙ = 1 + (33-1)2
aₙ = 1 + 32(2).
aₙ = 1 + 64.
aₙ = 65.
∴ S₃₃ = 33/2×[ 2(1) + (33-1)2].
S₃₃ = 33/2×[ 2 + 64].
S₃₃ = 33/2×66.
S₃₃ = 33×33.
S₃₃ = 1089.
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Related Questions
I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?
Answers
Answer:
your numnber is 15
Step-by-step explanation:
3x-3=n
nx=90
nx=90
(3x-3)x=90
3x^2-3x=90
x=6
3x-3=n
3(6)-3=n
18-3=n
15=n
What goes in each drop down menu?
Answers
Answer:
x = 95 y = 137 z = 128
Step-by-step explanation:
z = 180 - 52 = 128 z plus 52 have to be equal to 180
Angle coincident of x is equal to 180 - (45 + 50) = 85
x = 180 - 85 = 95
Angle coincident of y is equal to 180 - (85 + 52) = 43
y = 180 - 43 = 137
geometry geometry geometry
Answers
Let the missing angle be ∠y . Then :-
∠y =∠115°
Their measure will be equal as they are alternate interior angles whose angle measure will be equal when on two parallel lines with a transversal .
Therefore , the missing angle = 115° .
Solution (6) :Let the missing angle be ∠x . Then :-
∠x = ∠66°
Their measure will be equal as they alternate interior angles .
Therefore , the ,measure of the missing angle is = 66° .
Solution (7) :Let the missing angle be ∠m . Then :-
∠m + ∠50° = 180°
∠m = 180 - 50
∠m = 130°
The sum of these two angles will be equal to 180° as they are interior angles on the same side of transversal .
Therefore , the measure of the missing angle will be = 130° .
Solution (8) :Let the missing angle be ∠n . Then :-
∠n + ∠105° = 180°
∠n = 180 - 105
∠n = 75°
The sum of these two angles will be will be equal to 180° as they are interior angles on the same side of transversal .
Therefore , the measure of the missing angle will be = 75° .
Answer:
5) 115- alternate interior angles
6) 66 - alternate interior angles
7) 130 - consecutive interior angles
8) 75 - consecutive interior angles
Step-by-step explanation:
The ANOVA procedure is a statistical approach for determining whether or not a. the means of two samples are equal b. the means of more than two samples are equal c. the means of two or more samples are equal d. the means of two or more populations are equal
Answers
Answer:
d. the means of two or more populations are equal
Step-by-step explanation:
ANOVA is a short term for analysis of variance and it was developed by the notable statistician Ronald Fisher. It is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors. In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.
The ANOVA procedure is a statistical approach for determining whether or not the means of two or more populations are equal through the use of a F-test or null hypothesis.
The ANOVA procedure is a statistical approach for determining :
d. the means of two or more populations are equal
The ANOVA procedure is a statistical approach for determining the means of two or more populations are equal . This is a collection of statistical models with their respective estimation methods, typically used to analyze the differences between the groups of mean values found in the sample.Thus, the correct answer is D.
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Analyze the following table of values and select the true statement.
y -1 -2 -4 -8 -32 -64
x 0 1 2 3 5 6
The relationship is linear.
The relationship is quadratic.
The relationship is exponential.
The relationship is neither linear, quadratic, nor exponential.
Answers
Marcus reads in a magazine article that 62% of teenagers prefer Batman over Iron Man. He decides to test this so he takes a simple random sample of 50 people at Wal-Mart on a Sunday afternoon. What is the probability that he finds exactly 40 Batman fans? Round to the nearest thousandth.
Answers
Answer:
The probability is 0.003
Step-by-step explanation:
If 62% prefers Batman, the percentage that prefers Iron man will be (100-62)% = 38%
So the probability of finding a teenager that likes batman will be 62/100 = 0.62
The probability of finding a teenager that prefers iron man will be 38/100 = 0.38
Now, we want to find the probability that out of 50 people at Walmart on a Sunday, exactly 40 prefers Batman
We can use the Bernoulli approximation of the binomial theorem ;
let probability of liking Batman be q and that of iron man be q
Thus the approximation will be;
P(X = 40) = 50 C 40 (0.62)^40 (0.38)^10
= 0.003200147531
To the nearest thousandth, this is 0.003
500.000 times 0.045 what is the answer and explained
Answers
Answer:22.5
Step-by-step explanation:think of 500.000 as an 500 then multiply 0.045 so I got 22.5
Answer:
22.5
Step-by-step explanation:
500.000
x 0.045
22.5
You just have to use long multiplication
solve m=9/5p for p help please
Answers
Answer:
p=5/9m
Step-by-step explanation:
you multiply both sides by the reciprocal (5/9) to got p = 5/9
Can someone help me with this please lol this is hard
Answers
Answer:
y=-2x+3/2 or y=-2x-3/2
Step-by-step explanation:
so the line starts at the negative 2 on the y-axis and -3 is on the x-axis then so you start at the -2 on the y-axis and go over and count how many times it goes over and then count how many times it goes down to the next dot.
The cost of 3 scarves is $47.25. What is the unit price?
Thanks (this is not high school)
Answers
Answer:
1 scarf costs $15.75 (that is one expensive scarf!)
Step-by-step explanation:
$47.25 divided by 3 = $15.75
Hope I helped :)
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Use mental math to find the quotient of 397.3 ÷ 103.
A. 0.03973
B. 0.3973
C. 3.973
D. 39.73
Answers
Answer:
Your answer is: I think C) 3.973
Because ↓
Step-by-step explanation:
Hope this helped : )
Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.
Which lines are parallel? Justify your answer.
Lines a and b are parallel because their alternate exterior angles are congruent.
Lines a and b are parallel because their same side exterior angles are supplementary.
Lines e and f are parallel because their alternate exterior angles are congruent.
Lines e and f are parallel because their same side exterior angles are congruent.
Answers
Lines e and f are parallel because their alternate exterior angle is congruent. Option C is correct.
Find the diagram attached;
The point where two lines meet is known as an angle.
From the given diagram, we can see that the angle of 75 degrees is at the top left corner is similar to the 75 degrees down right.Hence we can conclude that lines e and f are parallel because their alternate exterior angle is congruent.Learn more here: https://brainly.com/question/11397920
Answer: Option 3 or C. Lines e and f are parallel because their alternate exterior angles are congruent.
Step-by-step explanation: The correct answer is C.
I got it right on the Edge 2022 quiz. Trust me the proof is shown below.
Solve for a: u = 3b - 2a + 2
Answers
If a=2 then you would have u=3b-2(2) or u=3b-4 :)
Answer:
Step-by-step explanation:
B= 2/3a-2//3+1/3u, u equals R, A equals r
A=3/2b+1-1/2u, u equals R b equals R
Anyone please help me
Answers
Answer:
a. y=30(20)+800
y=1400
b. 700
Step-by-step explanation:
Answer: Answers are in the steps, please read carefully.
Step-by-step explanation:
A. Since each of the twenty people paid $30 each and an $800 was raised, then the expression will be multiplying 20 by 30 and adding it to 800. To find the value of the expression, multiply 20 by 30 then add it to find the result.
Expression: 20(30) + 800
Value of Expression: 600 + 800 = 1400
B. If the money is being split equally among two organizations, then is the same as diving the money by 2 to find how much each organization received.
1400 / 2 = 700 Each organization received $700.
How do i simplify the expression 6(x+2)-4
Answers
It would be 8
1. Find the term in the expression y + 1.2y + 1.2z.
A. y and 1.2y
B. 1.2y and 1.2z
C. y and 1.2z
D. y, 1.2y, and 1.2z
2. Simplify 2+17x-5x+9.
A. 19x+4
B. 12x+11
C. 22x+11
D. 15x-4
3. Simplify 3(5y+6)-4.
A. 11y+14
B. 11y+18
C. 15y+14
D. 15y+2
4. Factor 81-27p.
A. 9(9-3p)
B. 27(3-p)
C. 27(54-p)
D. 27(p-3)
Answers
2.B
3.C
4.B
Solve for x: u = k + yx
Answers
=
u
y
−
k
y
is the answer
x= u/y - k/y
6> z(10-z)
Which number is a solution of the inequality?
Answers
Answer:
6 > z(10 - z)
6 > 10z - z^2
z^2 - 10z^2 + 6 < 0
z > 9.36, z < 0.64
Therefore, option (0) is the correct answer.
Step-by-step explanation:
HOPE IT HELP
A new scarf, a pair of gloves, and a ski hat
costs $35.50. How much is the total price
with 7% sales tax added?
Answers
Answer:
37.99
Step-by-step explanation:
Find the amount of tax
35.50 * 7%
Change to decimal form
35.50 *.07
2.485
Round to the nearest cent
2.49
Add this to the original cost
35.50+2.49
37.99
Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3
Answers
Will mark you brainliest!!!!
It’s basically asking to write the missing numbers by looking for the pattern to describe how the tenth and hundredths change
Answers
Step-by-step explanation:
i not understand your questions
If the measure of ∠2 is 83°, what is the measure of ∠3?
Answers
Answer:
97 degress
Step-by-step explanation:
2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.
The measure of ∠3 is 97°.
What are supplementary angles?If two angles add up to 180 degrees, they are considered supplementary angles. When combined, supplementary angles form a straight angle of 180 degrees. In other words, if Angle 1 + Angle 2 equals 180 degrees, angles 1 and 2 are added together. Angles 1 and 2 are referred to as "supplements" of one another in this instance.
Given two lines intersect and form angles
∠1, ∠2, ∠3, ∠4
and ∠2 = 83°
here ∠2 and ∠3 form supplementary angles,
them ∠2 + ∠3 = 180°
83 + ∠3 = 180
∠3 = 180 - 83
∠3 = 97°
Hence measure of ∠3 is 97°.
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What is a unit? * what is a unit? a process used to convert units and rates using a conversion factor and multiplication a quantity used as a standard measurement a solution or an answer a mathematical phrase involving at least one variable and sometimes numbers and operation symbols
Answers
Answer:
C. a quantity used as a standard measurement
Step-by-step explanation:
A unit is a universally acceptable system of measurement. The system is majorly referred to as the international standard of units i.e (SI) units.
Since physical quantities could be categorize as either fundamental or derived. The use of units in measurement is very essential, because it relates the magnitude measured to the physical quantity.
The units of measurement tells what physical quantity has been measured.
A daycare charges $195 per week for each child that attends. There are 51 children that attend each week.
What is the best estimate for the total amount of money the daycare receives each week?
A. $5,000
B. $7,000
C. $10,000
D. $15,000
Answers
Answer:
c
Step-by-step explanation:
195 x 51 =9945
estimated = 10,000
195 x 51= 9945
So the estimated number is 10,000
Tina runs at a reate of 8 miles per hour. at that rate, how many miles will she run in 12 minutes
Answers
a european made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Search instead for a eurapean made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Answers
Answer:
$36.9735831
rounded: $36.97
WILL MARK YOU BRAINLIEST!!!!!!
Answers
Answer:
124
Step-by-step explanation:
ASAP ,HELP ME PLS
Find the slope given these points:
(2,-4) & (3,1)
A. 5
B. -3
C. 3
D. -5
Answers
Answer:
A.
Step-by-step explanation:
If x2 = 10, what is the value of x?
Answers
Answer:
see below
Step-by-step explanation:
since the expression given is not very clear,
there are two possible answers
option 1
x2 = 10
x = 10/5
x = 2
option 2
x^2 = 10
x = √10
x = 3.26
Paola is selling bags of homemade caramel corn for a club fundraiser. The amount she makes depends on the number of bags sold. Based on this information, which statement explains what (8, 12) means?
Answers
Answer:
She realised $12 from selling 8 bags of caramel corn
Step-by-step explanation:
Given
(8, 12)
Required
Determine what it means based on the available information
A function is always written as (x,y)
Where x is dependent on y
By comparison,
x = bags of caramel corn = 8
y = amount realised = 12
Assuming the currency is in dollars
Conclusively,
She realised $12 from selling 8 bags of caramel corn.
