The set of 4 integers are is given by the equation A = { 1 , 2 , 3 , 4 }
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the set of 4 integers be represented as set A
Now , the equation will be
Let the first number be 1
The absolute value of 1 is | 1 | = 1
Let the second number be 2
The absolute value of 2 is | 2 | = 2
Let the third number be 3
The absolute value of 3 is | 3 | = 3
Let the fourth number be 4
The absolute value of 4 is | 4 | = 4
And , | 1 | < | 2 | < | 3 | < | 4 |
Hence , the set of integers are { 1 , 2 , 3 , 4 }
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One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
Oof please help me with geometry
Answer:
as it a cyclic quadrilateral
its opposite sides sum be 180
z/2+z/4+30=180
2z+z/4=150
3z/4=150...z=200
angles...
b=z/2=200/2=100
d=80
e=200-59=141
c=180-141=39
In a randomly generated list of numbers from 0 to 8, what is the chance that
each number will occur?
O A 1/8
O B. 1/7
OC. 1/6
O D 1/9
Answer:
D) 1/9
Step-by-step explanation:
The median of the data 78,56,22,34,45,56,39,68,54,84 is____
Answer:
22,34,39,45,54,56,56,68,78,84
Answer: 54,56
Step-by-step explanation:
Since 54 and 56 are in the middle,
In order to find the median you need to arrange the following numbers in ascending order and identify the number in the middle of the order.
can someone plz help me out
Step-by-step explanation:
A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.
9. Convert to fractions and write in simplest form.
A) 0.02
B) 12%
C) 0.5%
D) 1.12
Answer:
A) 1/50
B) 6/5
C) 1/2
D) 28/25
x^2 - 2x factorise fully
Answer:
(x-2)*x
Step-by-step explanation:
[tex]x^{2}-2x[/tex]
its maximum common divisor is x
[tex]\frac{x^{2}-2x }{x}[/tex]
[tex](x-2)*x[/tex]
Which method do you prefer for solving the equation 2^x=16? Explain.
Answer:
I'd just ask ma.th wa.y but...Yhea
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for
x
Step-by-step explanation:
step 1. 2^x = 16
step 2. ln(2^x) = ln16
step 3. xln2 = ln16
step 4. x = ln16/ln2 = 4ln2/ln2 = 4.
step 5. The method I prefer is using logarithms.
4(9x + 7) + 6(8 - x)
Answer:
2(15x+38) and if you simplify it it is 30x+76
Step-by-step explanation:
Solve the proportion 2x+3/3 = 9/27
Answer:
-0.3333333333
Step-by-step explanation:
Solve for x please help
Step-by-step explanation:
4x + 2 + 3x + 3 = 180 (straight angle)
4x + 3x + 2 + 3 = 180
7x + 5 = 180
7x = 175
x = 25°
divide 7 by 2 then subtract p from the result.
Answer:
3.5/p
Step-by-step explanation:
7/2 = 3.5
Answer:
[tex]\frac{7}{2}[/tex]-p is the equation
Step-by-step explanation:
nicolas quiere pavimentar el patio rectangular de su nueva casa el patio mide 5,25 m de largo y 3 m dd ancho y necesita 81 baldosas por metro cuadrado ¿cuantas baldosas nesesita nicolas para pavimentar todo el patio ? ¿porque?
Answer: Me gusta bailar y dibujar
Step-by-step explanation:
WHO KNOWS HOW TO DO THIS LET ME KNOW
Answer:
Step-by-step explanation:
7). Since, ∠4 and ∠5 are the linear pair of angles,
m∠4 + m∠5 = 180° [Supplementary angles]
72° + m∠5 = 180°
m∠5 = 180° - 72°
m∠5 = 108°
8). Since, ∠6 and ∠7 are the vertically opposite angles,
Therefore, ∠6 ≅ ∠7
m∠6 = m∠7
3x + 94 = 9x - 38
9x - 3x = 94 + 38
6x = 132
x = 22
m∠6 = 3(22) + 94 = 160°
m∠7 = 9(22) - 38 = 160°
9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.
m∠2 + m∠3 = 180°
(13x + 54) + (2x + 36) = 180°
15x + 90 = 180°
15x = 90
x = 6
m∠2 = 13(6) + 54 = 132°
m∠3 = 2(6) + 36 = 48°
Write 8 and 1/3 % as a fraction in simplified form.
Answer:
as a fraction i believe it would be 25/3, but correct me if im wrong :)
Ryan's unpaid credit card balance was $1853.68. His APR is 24.9%. What is his new balance after he makes one new transaction for $178?
Answer: 2070.14
Step-by-step explanation:
Slide the decimal for 24.9 and get 0.249
1853.68 × 0.249 ÷ 12 = $38.46
you have 0.249 as the monthly rate which means dividing it by 12 is a key to your answer
$1853.68 +38.46 + 178.00 = $2070.14
39 is what percent of 82
Answer:
47.5%
Step-by-step explanation:
39/82 = .475 = 47.5%
Answer:
39 is 47.56% of 82
Step-by-step explanation:
82 is 100% since it is our output value.
divide 39 by 82 to get the answer in decimal form:
39 / 82 = 0.4756
Then multiplied the answer from the first step by one hundred to get the answer as a percentage
0.4756 * 100 = 47.56%
Maureen filled a bucket with 5/8 of a gallon of water. 1/4 gallon remained how much leaked
Answer:
3/8 leaked,
Step-by-step explanation:
5/8 - 1/4 = 3/8.
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answer:
B.
H0 : PA - PB = 0
Ha : PA - PB > = 0
Step-by-step explanation:
The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.
In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.
I dont rlly understand this problem, can someone help me pls! thx :)
Answer:
68 i think
Step-by-step explanation:
Step-by-step explanation:
The equation here is,
w° + 124° = 180°
=> w = 180° - 124°
=> w = 56° (Ans)
SOLUTION TO THIS EQUATION
(p+1)x^(2)+(5p-3)x+2p=-3
Answer:
3.
Step-by-step explanati
5% of a number is 23
Answer:
460
Step-by-step explanation:
5%(calculated %)of what number equals 23?
Answer is 460
I hope it's helpful!
460 is the answer of the question
Write as an expression and solve (show your work)
One fourth the difference between 21 and 5
Answer:hiii
Step-by-step explanatio
Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows:
Type A: 75%, Type B: 20%, and Type C: 5%
The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%.
The contestant selects a box and draws a marble. What is the chance of drawing a red marble? (Give the exact decimal answer.)
If the contestant does draw a red marble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places.)
Answer:
0.114
0.049
Step-by-step explanation:
For the boxes:
Type A - 75% = 0.75
Type B - 20% = 0.2
Type C - 5% = 0.05
For the marbles in each box:
Type A - 2% = 0.02
Type B - 20% = 0.25
Type C - 98% = 0.98
Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:
0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98
= 0.015 + 0.05 + 0.049
= 0.114
The specific chance for box Type C is 0.05 * 0.98 = 0.049
Amy runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
miles
Х
Answer:
10.5miles
Step-by-step explanation:
the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump
Step-by-step explanation:
Water filled in 20 second = 200 liters
Water filled in 1 second = 200 / 20 = 10 liters
The flow rate of the pump is 10 liters per second.
Hope it will help :)
Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.
The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.
It can be calculated as:
= Amount of water supplied / Time supplied
= 200 / 20
= 10 liters per second
In conclusion, the pump has a flow rate of 10 liters per second.
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Fill in the blank
In the expression 7+(2x6), the term (2x6) is the _ of two _ 2 and 6.
words to fill the blank
-power
-sum
-different
-ratio
-base
-coefficient
-factors
-product
-variable
-terms
-quotient
Answer:
..................................................................................
Step-by-step explanation:
hahaahahah
how many terms of arithmetic sequence 3;11;19.... will add up to 1580
Answer:1.58
Step-by-step explanation:
The number of terms in the sequence will be 20 adds up to 1580.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The arithmetic sequence is given in the question, as follows:
3; 11; 19....
We have to determine the number of terms of the sequence will add up to 1580
The sum of an arithmetic sequence is the sum of the first n terms of the sequence as
Sₙ = n/2(2a+(n−1)d)
In arithmetic, here a₁ is the first term and sequence d represents the common difference.
As per the question,
d = 11 - 3 = 8, a = 2 and S = 1580
Substitute the known values in the formula, and solve for n
1580 = n/2(2x3+(n-1)8)
1580 x 2 = n(6 + 8n - 8)
Solving the above equation, we get
n = 20, and -79/4
Thus, the number of terms in the sequence will 20.
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Which fraction has a value less than 5-7?
Answer:
3/4
Step-by-step explanation:
find the angle of elevation from c to a
Answer:
32 Degrees
Step-by-step explanation:
Thank me later lol