Answer:
Step-by-step explanation:
x + y = −3
y = 2x + 2
Substitute the y value of the second equation into the top equation
x + 2x + 2 = - 3
3x + 2 = - 3
3x = -3 -2
3x = - 5
x = -5/3
x + y = - 3
-5/3 + y = - 3
y = -3 + 5/3
y = -1 1/3
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces [tex]P(A) = 0.6[/tex]
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces [tex]P(A \cap B) = 0.3[/tex]
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
please answer this!!!
Answer:
A
Step-by-step explanation:
As the angles are equal, AB=BC, 16x-7=12x+1, 4x=8, x=2.
Point A (-6, 2) and B (4, k) lie on a line that has a slope of 3/5 Determine the value of K
Answer:
k=8
Step-by-step explanation:
We can solve using the slope formula
m= (y2-y1)/(x2-x1)
3/5 = (k-2)/(4- -6)
3/5 = (k-2)/(4+6)
3/5 = (k-2)/10
Multiply each side by 10
10*3/5 = (k-2)/10 *10
6 = k-2
Add 2 to each side
6+2 = k-2+2
8 = k
A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final cost of the DVD player?
Answer: its going to be 3 dollars and 67 cents
Step-by-step explanation:
How can you use what you know about 5(2) to find 5(-2)?
Please help
Answer:
-10
Step-by-step explanation:
5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)
If a translation of (x,y) (x+6,y-10) is applied to figure ABCD, what are the coordinates of D?
Image of figure ABCD is missing and so i have attached it.
Answer:
D_new = (-1, - 12)
Step-by-step explanation:
From the figure attached, the current coordinates of D are; (-5, -2)
Now, we are told the figure undergoes a translation of (x,y) (x+6,y-10)
Thus, this means we add 6 to the x value and subtract 10 from the y-value.
Thus, new coordinate of D is;
> (-5 + 6, -2 - 10)
> (-1, - 12)
Answer:
1, -12
Step-by-step explanation:
D = -5, -2
|
-5 + 6 = 1
|
-10 and -2 is -12
1, -12
did it on edge, got it right.
David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car. Write a function that represents the value of David's car, V(t), after t years.
Answer:
V(t) = 14,000(0.89)^t
Step-by-step explanation:
Present value of the Dodge Challenger = $14,000
Present percentage value = 100%
Depreciation value = 11%
Number of years = t
Future value = V(t)
V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t
= 14,000(100% - 11%)^t
= 14,000(89%)^t
= 14,000(0.89)^t
V(t) = 14,000(0.89)^t
Which series represents this situation? 1+1*7+1*7^ 2 +...1*7^ 6; 1+1*7+1*7^ 2 +...1*7^ 7; 7+1*7+1*7^ 2 +... 1*7^ 6; 7+1*7+1*7^ 2 +...1*7^ 7
Answer:
Step-by-step explanation:
The series is missing from the question. I will answer this question with a general explanation by using the following similar series:
[tex]\sum\limits^6_{n=0} 7^n[/tex]
Required
The series
To do this, we simply replace n with the values
[tex]\sum\limits^6_{n=0}[/tex] means n starts from 0 and ends at 6
[tex]\sum[/tex] means the series is a summation series
So, we have:
[tex]\sum\limits^6_{n=0} 7^n = 7^0 + 7^1 + 7^2 + ...... + 7^6[/tex]
[tex]\sum\limits^6_{n=0} 7^n = 1 + 7 + 7^2 + ...... + 7^6[/tex]
A sinusoidal graph has a maximum at the point (–40, 3) and a midline of y = – 12. Determine the amplitude of the graph.
Answer:
15
Step-by-step explanation:
The amplitude of y=sin(x) is 1 with a maximum of y=1 and a minimum of y=-1. It's amplitude is 1 because that is the distance the max( y=1 )is from the mid line (y=0) or the distance the min( y=-1 ) is from the mid line (y=0).
So we just need to find the distance the mid line, y=-12, and the max,y= 3, is from each other.
3--12=3+12=15
Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)
Answer:
GTLN : 1 GTNN: -1
Step-by-step explanation:
Ta có:
[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]
mà [tex]-1\leq cosx \leq 1[/tex]
Nên Max [tex]y=1[/tex] , [tex]x[/tex] ∈ [tex]R[/tex]
Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]
82,92,76,72,92,74,80 and 78
What is the median
Answer:
Step-by-step explanation:
we have 8 choises 8 its even number so
we can write 8= 2*4
X=4 ss the answear between the fiveth and sixeth choise 72+92/2 AND YOU WILL FIND THE ANSWEAR
Can someone verify if this is correct?
I used cosec because the others didn’t work
For the remaining questions, show your work.
6. Solve each of the following equations.
a. - 5 = -3 + a
b.Зc + 2 = -22
Step-by-step explanation:
6a.
[tex] - 5 = - 3 + a[/tex]
[tex] - 2 = a[/tex]
6b.
[tex]3c + 2 = - 22[/tex]
[tex]3c = - 24[/tex]
[tex]c = - 8[/tex]
I’ve been stuck on this for 3 days today is the last day please help me guys
y = x^2 - 2x - 3
Factored Form: y = (x - 3)(x + 1)
X-Intercepts: (3, 0) and (-1, 0)
Axis of Symmetry: x = 1
Vertex: (1, -4)
Domain: All Real Numbers (or negative infinity to infinity)
Range: y > -4
Hope this helps!
which of the following expressions is equal to -3x^2-27?
Answer:
6
[tex] \sqrt{2} [/tex]
please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches
Answer:
V = 24.28 in ^3
Step-by-step explanation:
The area of the base is
A =5/2 × s × a where s is the side length and a is the apothem
A = 5/2 ( 2.13) * .87
A = 4.63275
The volume is
V = Bh where B is the area of the base and h is the height
V = 4.63275 ( 5.24)
V =24.27561 in^3
Rounding to the hundredth
V = 24.28 in ^3
Can someone help me out thx
This is because the two chords are the same length, so they are the same distance away from the center.
We can prove this by drawing the following red segments as shown below. These segments are radii of the circle. After forming the two right triangles, note how we can use the hypotenuse leg (HL) theorem to prove the triangles congruent. So this leads to x = 9 because the corresponding pieces of the triangles must be the same.
7) The sum of the page numbers of two facing pages of a book is 85. What are the page numbers of two facing pages of the book. If the sum is not given, but the product is given to be 1806, how will you find the page numbers?
Answer:
42 and 43.
Step-by-step explanation:
This problem can be solved just by knowing the sum of the page numbers, as page numbers on the same face are always one digit apart. Thus we can take 85, subtract 1, divide by 2, and then get 42,42, and add 1 back to the second-page number.
To check our work we can multiply 42*43 to get 1806.
PLEASE HELP I NEED THIS TURNED IN BY TOMORROW AND I DONT KNOW WHAT TO DO!!!!
Answer:
Don't write the " ^ " that I'm typing, that's just showing its to the power of 2 (squared)
1. x^2 + y^2 = 100
2. (x+1)^2 + (y-8)^2 = 25
3. (x+5)^2 + (y+5)^2 =20
4. x^2 + y^2 = 85
5. x^2 + (y+2)^2 = 40
graph 6) middle of circle (dot) at origin (0,0), 5 out in every direction
graph 7) middle of circle (dot) at (-2, 1), 2 out in every direction
graph 8) middle of circle (dot) at (0, -3), 1 in every direction
graph 9) middle of circle (dot) at (1, 1), 4 in every direction
Step-by-step explanation:
Hope these are right, I just kind of banged them out real quick :)
find the missing side. Round it to the nearest tenth.
Answer:
19.1
Step-by-step explanation:
Answer:
x ≈ 19.1
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{x}[/tex] ( multiply both sides by x )
x × cos33° = 16 ( divide both sides by cos33° )
x = [tex]\frac{16}{cos33}[/tex] ≈ 19.1 ( to the nearest tenth )
John read the first 144 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p in the novel.
Find the total number of pages in the novel.
Answer: 441 pages
Step-by-step explanation:
[tex]\frac{1}{3}p-3=144\\\frac{1}{3}p=147\\3(\frac{1}{3})p=147(3)\\p=441[/tex]
The area of a square is given as (s3)6.
What is its perimeter?
Step-by-step explanation:
what does this problem description really say ? what is the area of that square ?
36 ?
s3×6 ?
s³×6 ?
5³×6 ?
2³×6 ?
(5×3)×6 ?
(2×3)×6 ?
and these are just the options that I can see right away without really thinking about it.
in any case, the solution is to draw the square root of the area, and then multiply the result by 4.
why ?
because the area of a square is the square of the length of one of its side - like for any rectangle the area is length×width, but in a square length = width, so the area is length×length = length².
therefore, sqrt(area) = sqrt(length²) = length.
and the perimeter of the square is the way all around the whole square (4 sides), which is then
length + length + length + length = 4×length
from all the possibilities I listed up there, only 36 and (2×3)×6 lead to nice round numbers.
as the area would be in both cases 36.
sqrt(36) = 6
and the perimeter would be 6×4 = 24
it's emergency pls.
Answer:
see above there is the answer sorry for rough
f(x) = 2x + 7 with domain: x = {2, 3, 5, 9}
Answer:
2(2)+7=11
2(3)+7=13
2(4)+7=15
2(5)+7=17
2(9)+7=25
Step-by-step explanation:
2(2)+7
4+7=11
2(3)+7
6+7=13
2(4)+7
8+7=15
2(5)+7
10+7=17
2(9)+7
18+7=25
WHO KNOWS HOW TO DO THIS!!!!!
Answer:
Step-by-step explanation:
Scale factor is 2. 6/3=2, 8/4=2. So it’s 1/2
Create a triangle ABC of your choice. Using GeoGebra tools, construct the angle bisectors of ∠A and ∠B. Mark the intersection point of the angle bisectors, and label it point D.
Create a line through point D perpendicular to .
Find the intersection of line segment and the perpendicular line, and label it point E. With point D as the center, create a circle passing through point E.
Measure and label the radius of the inscribed circle of ΔABC on the diagram.
Take a screenshot of your result, and paste it below.
The steps to create attached screenshot of the inscribed circle of triangle ΔABC using GeoGebra tools includes;
1) Clicking on the Geometry link, under Powerful Math Apps group
2) On the opened Geometry page click on the Polygon icon and follow the instructions that come up, which is Select all vertices and then the first vertex (selected) again (a second time)
3) Once the triangle is created, select the Angle Bisector icon, under the Construct group; A message will appear, asking to Select three points or two lines, select three vertex, of the triangle created with a mouse click, with the vertex A in the center, such as BAC, or CAB a straight line representing the angle bisector of angle ∠A is created
4) Repeat the above to create the angle bisector of angle ∠B
5) Click on the Point button under the Basic Tools group, then click on the intersection of the two angle bisectors created above, the point will be automatically labelled point D
6) Click on the Perpendicular Line, icon under the Construct group, then click on point D, and then the line AB to draw the perpendicular from D to AB
7) Click on the point Point icon and then the intersection point of the perpendicular from D and AB to label the point E
8) Click on the Circle with Center basic tool and then points D and E above, to create the inscribed circle of triangle ΔABC
9) Select the Segment tool, then select the center of the circle and a point
on the circumference. Click on the label, from the pop up options, select
the label option AA then change the label of the segment created to Radius
and select Show Label and Show Value. The inscribed circle of ΔABC created with GeoGebra tools is attached
Learn more about GeoGebra hear;
https://brainly.com/question/10400398
Answer:
Step-by-step explanation: from edmentum
Find the H.C.F of 144,180,240,300
Answer:
12
Step-by-step explanation:
We are looking for the highest common factor
Breaking each term into primes
144 = 12*12 = 4*3 * 4*3 = 2*2*3*3
180 = 20 *9 = 4*5*3*3 = 2*2*3*3*5
240 = 24*10 = 4*6*2*5 = 2*2*2*3*2*5 = 2*2*2*2*3*5
300 = 30*10 = 5*6*2*5 = 5*2*3*2*5 = 2*2*3*5*5
Look for the common factor
2*2*3 = 12
Kenya solved the equation below. Negative 6 (x minus 2) + 3 x = negative 3 (x + 3) + 21 What is the solution to Kenya's equation? –4 12 no solution infinitely many solutions
Answer: No solution
Step-by-step explanation:
-6(x - 2) + 3x = -3(x + 3) + 21
-6x + 12 + 3x = -3x - 9 + 21
Collect like terms
-6x + 3x + 3x = -9 + 21 - 12
-6x + 6x = - 9 + 9
0 = 0
In this scenario, it can be deduced that there is no solution to Kenya's equation.
Answer:
infinitely many solutions
Step-by-step explanation:
i got it right
13
Simplify the following expression and evaluate for x=36
b
0.02(1.4x - 300)-0.2(2.4x+10)+0.552x
answer:
Answer:
0.028x-6-0.48x-2+0.552x
(0.028-0.48+0.552)x-6-2
0.1x-8
The simplified expression, when evaluated for x=36, is -4.4, when following expression and evaluate for x=36 b= 0.02(1.4x - 300)-0.2(2.4x+10)+0.552x
To simplify the expression and evaluate it for x=36, let's break it down step by step:
0.02(1.4x - 300) - 0.2(2.4x + 10) + 0.552x
First, let's simplify the terms within each set of parentheses:
0.02 * (1.4 * 36 - 300) - 0.2 * (2.4 * 36 + 10) + 0.552 * 36
Next, perform the multiplications and additions/subtractions within each set of parentheses:
0.02 * (50.4 - 300) - 0.2 * (86.4 + 10) + 0.552 * 36
0.02 * (-249.6) - 0.2 * (96.4) + 19.872
Now, evaluate the remaining multiplications:
-4.992 - 19.28 + 19.872
Finally, perform the additions and subtractions:
-4.992 - 19.28 + 19.872 = -4.4
Therefore, the simplified expression, when evaluated for x=36, is -4.4.
To know more about simplified , here
https://brainly.com/question/28595186
#SPJ2
5. Solve each of the following quadratic equations using the Quadratic Formula (Express all roots as integers or as real numbers rounded to one decimal place)
a) 2x2 – 3x - 10 = 0
b) 3x2 - 8x + 4 = 0 (answer pls:)
