Answer:
mean: 73.2
mode : 85
range:47
median: 78.5
Step-by-step explanation:
85,58,72,85,46,93
first put the numbers in order from least to highest
46,58,72,85,85,93
mean: is the sum of the terms divided by the number of terms
(85+85+72+58+46+93)/6=73.2 ( rounded to the nearest tenth)
mode : is the element that occurs the most: in this case it is 85 occurs twice
range : subtract the minimum data from max. data: 93-46=47
median : is the middle number, in this case it is even so take the middle two numbers and divide by 2: 85+72/2= 157/2=78.5
median = 78.5
The mean value is 73.
The mode value is 85.
The range value is 47.
The median value is 78.5.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
85,58,72,85,46,93
Mean = (85 + 58 + 72 + 85 + 46 + 93) / 6
Mean = 73
Mode is the number that occurs the most times in the set.
Mode = 85.
Range = Highest value - Lowest value.
Range = 93 - 46 = 47.
The Median is the middle value after arranging the set in order.
46, 58,72,85, 85, 93
Median = (72 + 85) / 2
Median = 78.5
Thus,
The means is 73.
The mode is 85.
The range is 47.
The median is 78.5.
Learn more about mean here:
https://brainly.com/question/23263573
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What is the value of (-7 + 3i) - (2 - 6i)?
-5 + 91
-5 -3i
-9-31
-9 + 91
Greetings from Brasil...
Real part with real part, complex part with complex part...
(-7 + 3i) - (2 - 6i)
(-7 + 3i) - (2 - 6i) = ((-7 - (+ 2)) + (3i - (- 6i))) = - 5
((-7 - 2) + (3i + 6i))
- 9 + 9iDecimal expansion of 17/16
Answer:
1.0625
Step-by-step explanation:
what is the prime factorization of 430
Answer:
[tex]\huge \boxed{430=2 \times 5 \times 43}[/tex]
Step-by-step explanation:
Using factor tree,
Answer:
[tex]\large\boxed{2, 5, 43}[/tex]
Step-by-step explanation:
430
/ \
215 2
The 2 cannot be factorized anymore, so I will put a small box around it.
430
/ \
215 [tex]\boxed{2}[/tex]
/ \
43 5
5 and 43 cannot be factorized any smaller.
430
/ \
215 [tex]\boxed{2}[/tex]
/ \
[tex]\boxed{43}[/tex] [tex]\boxed{5}[/tex]
The prime factorization is the numbers in the boxes, which are 2, 5, and 43.
[tex]\large\boxed{2, 5, 43}[/tex]
Hope this helps :)
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If the formatting is not showing up correctly, please refer to the images of my answer below instead.
Carrie solved = by cross multiplying to get 4x = 6 and then divided both sides by 4. She got x = which reduced to x = . Is there a faster way to solve this problem?
Answer:
Ok, when we have an equality, like:
A = B
That says that A is the same as B.
Then if a multiply, divide, add or subtract (or do a lot of other operations) in both sides of the equality, the equality does not change.
I suppose that we start with something like:
(4/3)*x = 2
(i will work with this, because you did not post the actual equations)
the thing that Carrie did is:
She multiplies both sides by 3, and get:
3*(4/3)*x = 2*3
4*x = 6
Now she divides bot sides by 4
4*x/4 = 6/4
x = 6/4 = 3/2.
Now, a simpler step is considerin (4/3) as a number A, then we have:
A*x = 2
Now we divide both sides by A.
A*x/A = 2/A
x = 2/A
and we have A = (4/3) then 1/A = (3/4)
x = 2*(3/4) = 3/2
Write and equation of the line that passes through the pair of points (4,6) and (-1,1)
Answer:
y = x + 2
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y2-y1}{x2-x1} = \frac{6-1}{4-(-1)}=\frac{6}{6} =1[/tex]
Step 2: Substitute the slope and a point in to find y intercept
(6)=(1)(4)+b
6 = 4 + b
b = 2
Step 3: Substitute all the information in
y = x + 2
Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2
Match the vocabulary word to its correct definition.
1. complex conjugate the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part
2. complex number the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number
3. i the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number
4. imaginary number a number defined with the property that 12 = -1, so that
5. imaginary part of a complex number the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1
6. multiplicative inverse any nonzero multiple of i; this is the same as the square root of any negative real number
7. real part of a complex number the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs
Answer:
1. Complex number.
2. Imaginary part of a complex number.
3. Real part of a complex number.
4. i
5. Multiplicative inverse.
6. Imaginary number.
7. Complex conjugate.
Step-by-step explanation:
1. Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. i: a number defined with the property that 12 = -1.
5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Answer:
Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. i: a number defined with the property that 12 = -1.
5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Step-by-step explanation:
12 – 2x= -2(y – x)
-2x = -2(y – x) – 12
x= (y - x) + 6
Answer:
x=o and y= -6
Step-by-step explanation:
12-2x = - 2(y-x)
or,12-2x = -2y + 2x
or, 12 = - 2y + 4x
or, 12/2= 2x - y
or, 2x - y = 6
• 2x -6= y.....eqn_1
-2x=-2y+2x -12
or,4x +2y= -12
or,4x + 2(2x-6)= -12
or, 4x+4x-12=-12
or, 8x= 0
• x= o
putting the value of x in eqn...3
o=(y-0)+6
or, o= y + 6
•y = -6
Which of the following would cause an increase in heat? freezing compression stirring friction
Answer:
Compression, stirring, and friction all increase heat
Step-by-step explanation:
I did a lesson on it and got it right
Please help ASAP. The question is down below.
Answer:
(a) and (a)
Step-by-step explanation:
In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.
Given
[tex]\frac{x-3}{(3-x)(2+x)}[/tex]
solve (3 - x)(2 + x) = 0
Equate each factor to zero and solve for x
3 - x = 0 ⇒ x = 3
2 + x = 0 ⇒ x = - 2
x = 3 and x = - 2 are excluded values → (a)
------------------------------------------------------------------------
Given
[tex]\frac{-9x+3}{6x^2+10x-4}[/tex]
solve
6x² + 10x - 4 = 0 ← in standard form
(x+ 2)(6x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
6x - 2 = 0 ⇒ 6x = 2 ⇒ x = [tex]\frac{1}{3}[/tex]
x = [tex]\frac{1}{3}[/tex] and x = - 2 are excluded values → (a)
solve 3(x +15) ≤5(x+2) + 15
Answer:
x≥5
Step-by-step explanation:
3(x+15)≤5(x+2)+15
3x+45≤5x+10+15
3x+35≤5x+25
3x-5x≤25-35
-2x≤-10
x≥5
{x:xEx:6,7,8,9,10....}
Hope this helps ;) ❤❤❤
Find the value of x needed to make the equation below true. *
-4(1.5x-5)+4x=26
Answer:
-3
Step-by-step explanation:
First we need to distribute the -4.
-6x+20+4x=26
-2x+20=26
subtract 20 on both sides
-2x=6
divide out -2
x=-3
solve for x 3(x+2) + 4(x-5)=10
Answer:
x= 3.43
Step-by-step explanation:
First, use the distributive property and multiply 3 by x and 3 by 2:
3x + 6
next use the distributive property again and multiply 4 by x and -5:
4x - 20
Combine Like terms: 3x + 6 + 4x - 20
3x + 4x = 7x
6 - 20 = -14
Now Add 14 to both sides: 7x - 14 = 10
10 + 14 = 24
Now divide 7 by both sides: 7x = 24
24 / 7 = 3.428571429 = 3.43
Answer:
x=24/7 or 3 3/7
Step-by-step explanation:
3(x+2) + 4(x-5)=10 parenthesis first
3x+6+4x-20=10
7x-14=10 addition on both sides
7x-14+14=10+14
7x=24
x=24/7
check the answer:
3(x+2) + 4(x-5)=10
3(24/7+2)+4(24/7-5)=10
72/7+6+96/7-20=10
168/7-14=10
24-14=10
10=10 correct
In a local kickball league, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and the ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one random college graduate is picked, what is the probability that they hold a graduate degree
Answer:
3 / 19
Step-by-step explanation:
Given the following :
ratio of college graduates with a graduate degree to non-college graduates = 1:8
ratio of college graduates without a graduate degree to non-college graduates is 2:3
If college graduate with a degree = A
College graduate without a degree = B
Non-college graduate = C
College graduate to non college graduate = A:C
College graduate without degree to non college graduate = B:C
A:C = 1:8 - - - (1) ; B:C = 2:3 - - - (2)
Combining the two ratios :
To do so : the proportion of non college graduate should be the same in both ratios
To do this, multiply (1) by 3 and (2) by 8
A:C = 3 : 24
B:C = 16 : 24
combining both, we have :
A:B:C = 3:16:24
If one random college graduate is picked, what is the probability that they hold a graduate degree?
Total proportion of college graduate : (college graduates with degree + college graduates without degree)
A + B = (3 + 16) = 19
Proportion who hold a graduate degree = A = 3
Probability = require outcome / Total possible outcomes
Thus :
P = A / (A +B)
= 3/19
if (a+2,b)=(4,5),what is the value of a ?
Answer:
a = 2Step-by-step explanation:
(a+2,b)=(4,5)
Since the points are equal we can equate them to find a
Comparing a + 2 to 4
We have
a + 2 = 4
Send 2 to the right side of the equation
a = 4 - 2
We have the final answer as
a = 2Hope this helps you
Step-by-step explanation:
Here,
according to the question,
(a+2, b)=(4,5)
since, they are equal, equating with their corresponding elements we get,
(a+2)=4
or, a= 4-2
Therefore, the value of a is 2.
Also you can find value of b in same way,
b=5.
Therefore, the value of a abd b are 2 and 5 respectively.
Hope it helps...
Angles θ and φ are angles in standard position such that:
sinθ = -5/13 and θ terminates in Quadrant III
tanφ = -8/15 and φ terminates in Quadrant II
Find sin(θ + φ).
When [tex]\theta[/tex] terminates in quadrant III, both [tex]\cos\theta[/tex] and [tex]\sin\theta[/tex] are negative, and
[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac{12}{13}[/tex]
When [tex]\varphi[/tex] terminates in quadrant II, [tex]\cos\varphi[/tex] is negative and [tex]\sin\varphi[/tex] is positive, so
[tex]1+\tan^2\varphi=\sec^2\varphi\implies\sec\varphi=-\dfrac{17}{15}[/tex]
which gives
[tex]\cos\varphi=\dfrac1{-\frac{17}{15}}=-\dfrac{15}{17}[/tex]
[tex]\tan\varphi=\dfrac{\sin\varphi}{\cos\varphi}=-\dfrac8{15}\implies\sin\varphi=\dfrac8{17}[/tex]
Now,
[tex]\sin(\theta+\varphi)=\sin\theta\cos\varphi+\cos\theta\sin\varphi=-\dfrac{21}{221}[/tex]
Coordinate plane with two lines graphed. The equations of the lines are y equals negative two-thirds x plus four and the other line is y equals two-thirds x. Determine the number of solutions the system of linear equations has and the solution(s) to the equations represented by these two lines? The system of equations has 0 solutions, because the graph has no point of intersection. The system of equations has infinite number of solutions and all real numbers satisfy both equations. The system of equations has 1 solution and it is (3, 2). The system of equations has 1 solution and it is (3, 0).
Answer:
Step-by-step explanation:
y = -2/3x + 4
y = 2/3x
2/3x = -2/3x + 4
4/3x = 4
4x = 12
x = 3
y = 2/3(3)
y = 2
(3,2) one solution
option 3
PLEASE HELP, WILL GIVE BRAINLIEST IF CORRECT!!!! (08.06 MC) Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
x = 5 , y = 15
Step-by-step explanation:
You can solve this using substitution.
Let the quantity of cheese wafers be denoted by x and the quantity of chocolate wafers denoted by y
2x + 1y = 25
x + y = 20
These two equations are the answer to part A, (remember to include the above prompt which says what x and y denote).
For part B I used substitution because it was more applicable to the question then addition or elimination.
ACTUAL WORK
Set 2x + 1y = 25 equal to x
x = 25 - y / 2
Replace x with y in the second equation
(25 - y / 2) + y = 20
And solve for y
y = 15
Since we know what y is we can replace y in the second equation and find what x is
x + 15 = 20
Solve for x
x = 5
Answer:
5 Cheese Wafers and 15 Chocolate Wafers
Step-by-step explanation:
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
LM = 2(MP)
Step-by-step explanation:
The radius KN is perpendicular to LM meaning that the line is split in half at the crossing. Review properties of circles to see why this is true.
Since we know this, we can say LM = LP + MP. And LP = MP.
So we can say LM = 2(MP).
Cheers
Sex ratio is defined as the number of females per 1000 males in the population. Find the sex ratio if there are 3732 females per 4000 males in a town.
Answer:
933
Step-by-step explanation:
female : male
x : 1000
x : 4000
1000 x 4 = 4000
3732 : 4000
3732 ÷ 4 = 933
Nala has 'n' marbles. Paul has three times as many marbles as Nala. Nala loses 5 marbles and Paul buys 10 marbles. Together they now have 105 marbles. Write down and solve an inequality in 'n'
Answer:
Step-by-step explanation:
Nala's marbles = n
Paul's marbles = 3n
nala loses 5 marbles
so nala's marbles = n - 5
paul buys 10 marbles
so paul's marbles = 3n + 10
Total marbles = 105
so,
n - 5 + 3n + 10 = 105
By transposing,
n + 3n = 105 - 10 + 5
4n = 100
n = 100 / 4
n = 25
Hope this helps
plz mark as brainliest!!!!!!!
What is a +b square plz i need help i will mark brainliest
Answer:
a² + 2ab + b²
Step-by-step explanation:
Given
(a + b)²
= (a + b)(a + b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + b) + b(a + b) ← distribute both parenthesis
= a² + ab + ab + b² ← collect like terms
= a² + 2ab + b²
the sum of 35 and one fifth part of itself is added to the sum of one seventh of 11 and 8
Answer:
313/7
Step-by-step explanation:
Here, we are interested in turning the wordings of the statement to numeric values.
We take it one at a time.
Sum of 35 and 1/5(35) = 35 + 7 = 42
This is added to 1/7(11 + 8)
= 1/7(19) = 19/7
So we have;
42 + 19/7 = (294 + 19)/7 = 313/7
PLEASE HELP QUICK, WILL MARK BRAINLIEST!
Solve for x: −6 < x − 1 < 9
5 < x < 10
−5 < x < 10
−5 > x > 10
5 > x > −10
Answer:
−5 < x < 10
Step-by-step explanation:
−6 < x − 1 < 9
Add 1 to all sides
−6+1 < x − 1+1 < 9+1
−5 < x < 10
Answer:
B
Step-by-step explanation:
Add one to everything
-5 < x < 10
Best of Luck!
Answer ASAP, will give brainliest!!
Answer:
Step-by-step explanation:
77; The formula to calculating the area of a trapezoid is (a+b)/2 * c. a+b are the 2 parallel lines, and c is the height or the altitude. So, it is (10+12)/2 * 7, which is 22/2 * 7 = 11*7=77 :)
What is the coefficient of the variable in the expression 2 - 5x – 4 + 8?
a
-5
b
-4
с
2
d
8
Answer:
-5
Step-by-step explanation:
The coefficient is the number attached to the variable.
Solve Please:(c^5)(c)(c^2) Thank You ^-^
Answer:
c^(8)
Step-by-step explanation:
(c^5)(c)(c^2)
When the bases are the same, we can add the exponents when multiplying
The implied exponent on c is c^1
c^( 5+1+2)
c^(8)
Can someone please explain this to me? I don’t understand it at all
Answer:
Step-by-step explanation:
Angle 1 and angle 4 are Alternative angles:
Alternative angles are pair of angles on the inner side of each of those two lines but on opposite sides.
∠1+∠2 =180 sum of straight angle =180 ( angle 2=118)∠2-∠2=180 ,∠2=180-62=118
∠4+∠2=180 sum of straight angles=180 (∠4=62 degrees)∠4+118=180 ⇒∠4=180-118 ⇒∠4=62 degrees
∠1=∠4 alternative angles
Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Compare the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
Answer:
3.
Step-by-step explanation:
3x3 =9
1.2 x3=9
Help the question is there
Answer:
y = 7 when x = -5
Step-by-step explanation:
First go to x = -5
Then go up to where you meet the green line
The y value is 7
y = 7 when x = -5
PLEASE HELP ME !!!
given a function y = 5x² - 9x - 5
from the graph, determine the value of x when y = 0
Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
Answer:
Step-by-step explanation:
The answer is where the graph cuts the x-axis.
I can't see it very well but it looks like x = -0.4 and 2.3.
