Answer:
100
Step-by-step explanation:
what are the answers to both of the questions
Answer:
see explanation
Step-by-step explanation:
(1)
f(x) = g(x) , that is
- x² + 3x - 2 = - x + 1 ( add x to both sides )
- x² + 4x - 2 = 1 ( subtract 1 from both sides )
- x² + 4x - 3 = 0 ( multiply through by - 1 )
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
(2)
let x and y be the 2 numbers : x > y , then
x + y = 217 → (1)
x - y = 85 → (2)
add the 2 equations term by term to eliminate y
2x + 0 = 302
2x = 302 ( divide both sides by 2 )
x = 151
substitute x = 151 into (1)
151 + y = 217 ( subtract 151 from both sides )
y = 66
the 2 numbers are 66, 151
Which probabilities are correct? select two options. p(a|c) = two-thirds p(c|b) = startfraction 8 over 27 endfraction p(a) = startfraction 31 over 59 endfraction p(c) = three-sevenths p(b|a) = startfraction 13 over 27 endfraction
Probability of an event is the measure of its chance of occurrence. The correct probabilities are:
P(A|C) = 2/3P(C) = 3/7How to interpret conditional probabilities?Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.
Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).
Symbolically, we write it as:
[tex]P(A|B) = \dfrac{P(A \cap B)}{P(B)}[/tex]
What is the size of the union of three sets?For three sets, A, B and C:
[tex]n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)[/tex]
The problem is incomplete. The corresponding venn diagram is attached below.
We can symbolize the venn diagram as:
[tex]n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8[/tex]
S = sample space = collection of all unique elements.
S is union of A, B and C.
[tex]n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49[/tex]
Checking all the options for their correctness:
P(A|C) = 2/3We have:
[tex]P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}[/tex]
Thus, its correct.
P(C|B) = 8/27[tex]P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}[/tex]
Thus, this option is incorrect.
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{31}{49} \neq \dfrac{31}{59}[/tex]Thus, this option is incorrect.
P(C) = 3/7[tex]P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}[/tex]
Thus, its correct.
P(B|A) = 13/27[tex]P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}[/tex]
Thus, this option is incorrect.
Thus, the correct probabilities are:
P(A|C) = 2/3P(C) = 3/7Learn more about probability here:
brainly.com/question/1210781
Which model and number line show the same fraction? Answer and explain why
Which fraction would you find marked on a ruler?
A. 1/8 inch
B. 1/10
C. Inch D. 1/5 inch
D. 1/9 inch
Answer:
1/8
Step-by-step explanation:
Generally, rulers, yardsticks and tape measures are marked in 16ths 8ths and quarter inches
Answer:
1/8
Step-by-step explanation:
that is the answer
Can someone help me with this problem?
Answer:
4(17+5)
Step-by-step explanation:
GCF is 4
68/4 = 17
20/4 = 5
so,
4(17+5)
The fish population of a receding pond is 8,000. The population is
expected to decrease at a rate of 8% each year.
Which function represents the population of the fish in the pond after x
years?
f(x) = 8,000(0.08)
f(0) = 92(1.08)
f(2) = 92(0.8)
Of(x) = 8,000(0.92)*
f(3) = 8,000(0.2)
f(x) = 8,000(1.08)*
Answer:
f(x)=8,000(0.08)
Step-by-step explanation:
I am not 100% sertin but 8% = 0.08 so to find the percentage you would just multiple that by the given 8,000.
In scalene triangle ABC shown in the diagram
below, mC = 90°.
Which equation is always true?
A) cos A = cos B
B) cos A = sin C
C) sin A=sin B
D) sin A = cos B
for given Triangle
sin A = cos B is always
Costuet
Hence option d is career
Step-by-step explanation:[tex]given\ \ \ \ \ < C=90\textdegree[/tex]
[tex]In\ \Delta\ ABC;\ \ \ \ \ < A+ < B+ < C=180[/tex]
[tex]A+B=180-C[/tex]
[tex]A+B=180-90=90[/tex]
[tex]A=90-B[/tex]
[tex]taking\ sine\ on\ noth\ side[/tex]
[tex]sin\ A=sin(90-B)\\ sin\ A=cos\ B[/tex]
[tex]Henee\ ophon\ 'd'\ is\ cgrrect.[/tex]
I hope this helps you
:)
Which function has an axis of symmetry of x = −2? f(x) = (x − 1)2 2 f(x) = (x 1)2 − 2 f(x) = (x − 2)2 − 1 f(x) = (x 2)2 − 1
The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.
All of these functions start from the same function, f(x) = x^2, which has an axis of symmetry of x = 0.
What is a quadratic function?A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The first function has been shifted 1 unit to the right and 2 units up, which have an axis of symmetry at x = 1.
The second function has been shifted 1 unit to the left and 2 units down, which have an axis of symmetry at x = -1.
The third function has been shifted 2 units to the right and 1 unit down, which have an axis of symmetry at x = 2.
The fourth function has been shifted 2 units to the left and 1 unit down, which have an axis of symmetry at x = -2.
As you can see, the last function has been shifted 2 units to the left, which has an axis of symmetry at x = -2.
Thus, The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.
Learn more about function;
https://brainly.com/question/10628941
Answer:
D. f(x) = (x + 2)2 − 1
Step-by-step explanation:
took the test on edge :)
please guys tell me what’s the answer for this
Answer:
119
Step-by-step explanation:
I did the math on a calculator
The formula t = 2 pi startroot startfraction l over 32 endfraction endroot relates the time, t, in seconds for a pendulum with the length, l, in feet, to make one full swing back and forth. what is the length of a pendulum that makes one full swing in 2.2 seconds? use 3.14 for pi. 2 feet 4 feet 11 feet 19 feet
The length of this pendulum that makes one full swing is 3.93 meters.
How to calculate the length of the pendulum?Mathematically, the time taken by this pendulum is given by this formula:
[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}[/tex]
Making L the subject of the formula, we have:
[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}\\\\32T^2=4\pi ^2L\\\\L=\dfrac{32T^2}{4\pi ^2}\\\\[/tex]
Substitute all the values in the formula
[tex]\rm L=\dfrac{32T^2}{4\pi ^2}\\\\ L = \dfrac{32 \times 2.2^2}{4 \times 3.14 ^2\\}\\\\ L =\dfrac{154.88}{39.43}\\\\L=3.93 \ m[/tex]
Hence, the length of this pendulum that makes one full swing is 3.93 meters.
Read more about pendulum here:
brainly.com/question/20070798
Answer:
Basically if your coming from edge its 4 ft so B
Step-by-step explanation:
Which of these expressions represent the
sum of the areas of the triangles shown?
Answer:
C. 3((x+4) + (x-2))
Step-by-step explanation:
Area of a triangle: [tex]\frac{1}{2}bh[/tex]
Area of the left triangle:
[tex]\frac{1}{2}(x+4)(6)[/tex]
The 6 multiplied by the 1/2 equals 3, so:
[tex]A = 3(x+4)[/tex]
Area of the right triangle:
[tex]\frac{1}{2}(x-2)(6)\\[/tex]
Again, the 6 multiplied by the 1/2 equals 3, so:
[tex]A= 3(x-2)[/tex]
Adding the two areas together equals:
[tex]3(x+4) + 3(x-2)[/tex]
We can factor out the 3 from both, giving us the final answer:
[tex]A = 3((x-4)+(x-2))[/tex]
Can Someone Help Me With This Please
Answer:
-3 = -5
-2= -4
-1= -3
0= -2
1 =.-1
Step-by-step explanation:
From the input -2 and from the output -4,
we can make an equation,
-2 + x =-4
or, x= -4 +2
or, x = -2
Again,
From the input 1 and output -1,
We can make an equation,
1 + x = -1
or, x= -1 -1
or, x= -2
Therefore, we know that x = -2
Now, putting the value of X in the following equations, we get,
Input Processing output
-3. -2. -5
-2. -2. -4
-1. -2. -3
0. -2. -2
1. -2. -1
A sporting goods store specializes in mountain bikes. Each week, two dozen mountain bikes are randomly selected from the store's warehouse to undergo a performance test.
What is the population for the performance test?
A.
The population is all of the mountain bikes in the store's warehouse.
B.
The population is the salespersons at the store.
C.
The population is all of the merchandise sold by the store.
D.
The population is the mountain bikes that are not randomly selected
Answer:
A
Step-by-step explanation:
A population is a set of similar items or events which is of interest for some question or experiment.
Erica solved the equation below. 3(a +5)=2a +35 Step 1 3a + 15 = 2a +35 Step 2 5a + 15 = 35 Step 3 5a = 20 Step =4
Answer:
B. Step 2
Step-by-step explanation:
When moving 2a to the left, you would need to subtract, not add. You would get 1a instead of 5a.
A group of people walk 62 in week 1 in week 2 they walked 14 miles less than during week 1 how many miles did the group walk in week 2 weeks
Help pleaseeeeee the options are 21,8,28,36,39,14,2,37
So the answer has to be one of those
Explanation:
Use the intersecting chords theorem to find x
JN*NK = MN*NL
(3x+6)*16 = (7x-11)*14
48x+96 = 98x-154
96+154 = 98x-48x
250 = 50x
50x = 250
x = 250/50
x = 5
This means,
JN = 3x+6 = 3(5)+6 = 21
JK = JN+NK = 21+16 = 37
What is the factored form of a2 – 121?
(a – 121)(a – 1)
(a – 11)(a + 11)
(a + 11)(a + 11)
(a – 121)(a + 1)
Answer:
(a-11) (a+11)
Step-by-step explanation:
Hope it helps you
Answer:
(a+11)(a-11)
Step-by-step explanation:
we all need help sometimes dude
anyone know? stuck on this question
Answer:
it would be A.2/3
Step-by-step explanation:
I hope this helps if not please let me now
Answer:
Should be A
Step-by-step explanation:
Because of BIDMAS do the division first and then the multiplication.
Do :
8/9 divided by 2/3
so: 8/9 * 3/2 = 24/18
24/18 * 1/2 = 24/36
24/36 simplified is 2/3
Therefore the answer is A
• What is the solution of 5y + 2 = 42?
y=
Answer:
y = 8
Step-by-step explanation:
Hi there!
We are given the equation 5y + 2 = 42
And we want to solve it for y
To do that, we need to isolate the variable y on one side - we don't want any numbers on the same side as y.
So we need to first get rid of any numbers on the same side as y; we can subtract 2 from both sides to remove it from the left side.
5y + 2 = 42
-2 -2
_______________
5y = 40
Now, we have variables on one side and numbers on another, but we're not done yet, as we want the value of just y, not 5y (that's 5 * y)
So to find the value of just y, divide both sides by 5
5y = 40
÷5 ÷5
________
y = 8
Hope this helps!
Show that l || m?
See photo below for problem,
Answer:
A
Step-by-step explanation:
The Corresponding Angles Postulate tells you corresponding angles are congruent where a transversal crosses parallel lines.
The converse of that postulate tells you the lines are parallel if the corresponding angles at a transversal are congruent.
__
Choice A matches the proof you're asked to provide.
Please help me solve
a) 66%
b) 42%
hope it really helps..!!!
The pointer on a scale is about
1/4
of the way from 60 to 80.
What measurement
is shown?
Answer:
15
Step-by-step explanation:
the arrow is showing exactly in-between the 10 and 20 which means it is 15
Help pls help I need help
Answer:
i cannot see the photo to well whats the question?
nvm its A yw
Step-by-step explanation:
brainliest
HELPPPPPPPPP PLEASE!!! :(
Answer:
x = 25
Step-by-step explanation:
Given:
∠A = ∠B (Vertically opposite angles)∠A = (7x - 8)°∠B = (6x + 17)°Since ∠A is equivalent to ∠B...
[tex]\implies (7x - 8)= (6x + 17)[/tex]
Open the parenthesis:
[tex]\implies 7x - 8= 6x + 17[/tex]
Add 8 both sides:
[tex]\implies 7x - 8 + 8= 6x + 17 + 8[/tex]
Simplify both sides:
[tex]\implies 7x = 6x + 25[/tex]
Subtract 6x both sides:
[tex]\implies 7x - 6x = 6x - 6x + 25[/tex]
Simplify both sides:
[tex]\implies x = 25[/tex]
Answer:
x = 25
Step-by-step explanation:
Putting Both angels together:
Since,
m∠A = (7x - 8)°
m∠B = (6x + 17)°
Then,
(7x-8) = (6x+17)
Solving for x:
7x - 8 = 6x + 17
+ 8 +8
--------------------------
7x = 6x + 25
-6x -6x
-------------------
x = 25
Hence Answer is 25
~Lenvy~
Which inequality is represented by the graph?
Answer:
The correct option isn't shown on the image. I have attached a DESMOS graph with the option listed, and added an approximate equation that comes close to the actual line. This should aid in understanding the equations and lines.
Step-by-step explanation:
See attached image.
The one option is noted as the first equation. I added two points from the line provided: (0,-2.5) and (3.5,0) and then approximated an equation that comes closer. I simply chose 3x-4y=>10, and it comes close to the actual line that goes through the two given points.
To do this properly, find the equation, y=mx+b, of the given line using the two points selected:
Slope, m is rise/run:
Rise = 2.5
Run = 3.5
Slope = 2.5/3.5
y-intercept, b, is -2.5
The equation of the given line is y = (2.5/3.5)x - 2.5
We can rewrite this in the form the answer options are given, or rearrange the answer options to standard form in order to make the comparison.
Hopefully this will help guide to the correct solution.
Please help I will give brainliest.
Answer:
t = 1 sec 5 meters
Step-by-step explanation:
When the object hits the ground , height = 0
0 = (5t+5)(1-t) so t = -1(throw out...can't have negative time value) or 1
As the object is dropped, t = 0 sub that in to the equation
h = (5(0)+5)(1-0) = 5 meters
The point (-2, 2) is on the line given by which of the equations below?
Answer:
need a photo
Step-by-step explanation:
willl give correct answer if photo
Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third.
The smallest integer is ___
Answer:
The smallest integer is 4Step-by-step explanation:
So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!
Let us assume the first consecutive positive integer as m. Therefore, second and third consecutive number would be (m + 1) and (m + 2) respectively.
Refer to the attachment now.
What effect does the sample size have on the mean of the sampling distribution of the mean?.
Answer:
As sample sizes increase, the sampling distributions approach a normal distribution. With "infinite" numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ).
The graph below represents the proportional relationship between the weight of dog food, in pounds, and the price of dog food, in dollars.
How much money will 6lbs of dog food cost?
$8.75
$6.00
$5.50
$7.50
Answer:
The answer is 8.75<3
Answer:
the correct answer is 7.50
Step-by-step explanation:
because they are telling to measure how much will 6lbs will scost them in the chart when you look at six and go up to the line it lines up with 7.50