A student performed the following steps to find the solution to the equation
x2 + 4x-12-0. Where did the student go wrong?
Answer:
Step 2
Step-by-step explanation:
Step 2 because in step 1, they correctly wrote the factors of the polynomial as (x+6) and (x-2). But then in step 2, (x+6) suddenly became (x-6) and (x-2) became (x+2), which is incorrect.
The answers in step 3 should have been -6 and 2.
The number of coyotes observed in a day on a field trip possesses a distribution with a mean of 2.3 coyotes per day with a variance of 2 coyotes per day. A random sample of 100 days was observed, and the mean number of coyotes for the sample was calculated. Describe the sampling distribution of the sample mean. approximately normal with mean
Answer:
approximate normal with mean is 2.3 and the variance is 0.2
Step-by-step explanation:
Given that
The mean is 2.3 coyotes per day
The variance is 2 coyotes per day
The random sample is 100 days
We need to describe the sample mean and approximate normal with mean
So,
= 2 ÷ √100
= 0.2
So approximate normal with mean is 2.3 and the variance is 0.2
The same would be considered and relevant
Please help very urgent
Answer:
1) A={0,2,4,12,14,20}
2) 6
3) W={1,3,5,9,21,23,39}
4) 7
evaluate : (-2)^5 × (-2)^-8 ( do as director )
PLEASE HELP ME, LIKE ACTUALLY! The sum of two numbers is 193. One of them in 71 more than the other. Find the larger of these two numbers
Answer:
132
Step-by-step explanation:
X is smaller number
x + 71 is larger number.
x+ (x+71)=193
2x = 193-71
2x=122
x=61
x+71=largest number
61+71=132 largest numher
check answer
x+(x+71)=193
61+132=193
Answer:
The larger of the two numbers is 132.
Step-by-step explanation:
let x be the larger number and y be the smaller number.
x + y = 193 [Equatio#1]
x = y +71 [Equation#2]
substitute x from equation #2 into equation # 1:
(y+71) + y = 193
2y = 193 - 71
2y = 122
y = 61
substitute this value of y back into equation #2 to solve for x:
x = (61)+71
x= 132
the larger number is 132.
What is the perimeter of the parallelograrn?
Evaluate sin^2 θ for θ = 45°
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value , then
sin²45° = [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex]
What is the ratio of 4 and 120
Answer:
1 : 30 or
[tex] \frac{1}{30} [/tex]
................................................
Answer:
1: 30
Step-by-step explanation:
Help!!! Find the measure of the arc or angle indicated.
Answer:
77°Step-by-step explanation:
m∠QDC = 1/2(mQB + mBC)5x + 17= 1/2( 4x - 6 + 9x + 4)10x + 34 = 13x - 213x - 10x = 34 + 23x = 36x = 12m∠QDC = 5*12 + 17 = 77
Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Answer:
A.) Independent
B.) Independent
C.) Dependent
D.) Independent
E.) Dependent
F.) Independent
Step-by-step explanation:
To find - Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Proof -
We know that,
Independent events are the events that does not depend on the previous events.
Also,
If A and B are two independent events, then
P(A and B) = P(A) * P(B)
Now,
A.)
Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
Here,
Event 1 - Draw a 2 of clubs from a standard deck of 52 cards
Event 2 - keep it, then draw a 2 of diamonds.
These Events are independent
Because
Event 1 is about picking a card that is club
Event 2 is about picking a card that is diamond
And Diamond and spades are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
B.)
Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
Event 1 is about picking a card that is spade
Event 2 is about replacing the card to heart.
These Events are independent
Because
And spade and heart are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
C.)
Roll a number cube. Then roll again if the first roll is a 6.
Event 1 is Roll a number cube.
Event 2 is Roll again if the first roll is 6.
These Events are Dependent
Because
Event 2 is dependent on Event 1.
If Event 1 given no 6 then Event 2 would not happen
If Event 1 given 6 then Event 2 would happen.
So, They are related to each other
So,
Both the Events are Dependent.
D.)
Roll a 2 on a number cube and spin a 3 on a spinner.
Event 1 is Roll a 2 on a number cube
Event 2 is spin a 3 on a spinner
These Events are independent
Because
Cube and spinner are two different objects.
So, they are not related to each other.
So,
Both the Events are Independent.
E.)
Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
These Events are Dependent
Because
P(A and B) = P(A)*P(B)
⇒0.8 = 0.4*0.2
⇒0.8 = 0.08
But they are not equal
So, they are not independent Events.
F.)
Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
These Events are independent
Because
P(A and B) = P(A)*P(B)
⇒0.05 = 0.1*0.5
⇒0.05 = 0.05
They are not equal
So, they are independent Events.
Original price of a book 18.50 discount 45%
Answer:
18.5-45%=10.175 Hope this helped! :)
joe mama is obama
Step-by-step explanation:
Which equations can be used to determine the area of the irregular figure?
Answer:
the first option put I'm not 100% sure so if I get it wrong I apologize
I WILL GIFT YOU 30 Brainly (On Jesus)
Answer:
since highest degree is 2 the degree of a polynomial is also 2.
since the highest exponent is 2 the leading coefficient is 1.
Step-by-step explanation:
X
If the edges of a rectangular prism are increased by a scale factor of 3, how will the volume change
O A. The new volume is 3 times the old volume,
B. The new volume is 9 more than the old volume.
O C. The new volume is 9 times the old volume,
D. The new volume is 27 more than the old volume,
O E. The new volume is 27 times the old volume,
Answer:
E. The new volume is 27 times the old volume.
Step-by-step explanation:
A rectangular prism has dimensions width w, height h and length l. It's volume is given by:
[tex]V = wdl[/tex]
Edges of a rectangular prism are increased by a scale factor of 3
Each dimensions is multiplied by 3, and the volume is:
[tex]V_m = 3w(3d)(3l) = 3*3*3wdl = 27wdl[/tex]
How will the volume change?
[tex]\frac{V_m}{V} = \frac{27wdl}{wdl} = 27[/tex]
Thus, the volume is multiplied by 27, that is, it is 27 times the old volume, and the correct answer is given by option E.
The constraints of a problem are listed below. What are the vertices of the feasible region?
X+y<_5
y<_3
X>_0
y>_0
Answer:
(0, 0), (0, 3), (2, 3), and (5, 0)
Step-by-step explanation:
The constraints of the problem are:
x + y ≤ 5
y ≤ 3
x ≥ 0
y ≥ 0
Then:
Using the second and fourth inequalities we can write:
0 ≤ y ≤ 3
Knowing that the minimum value of y is 0, then if we replace that in the first equation we get:
x + 0 ≤ 5
x ≤ 5
While for the maximum value of y, y = 3, this inequality becomes:
x + 3 ≤ 5
x ≤ 2
Now, the vertexes are the points where both variables take one of their extremes.
Then, we have a vertex at (0, 0) because we have:
x ≥ 0
y ≥ 0
So this is the vertex when both x and y take the minimum value.
When y takes the maximum value y = 3, and x takes the minimum value x = 0, we have the vertex:
(0, 3)
When y takes the maximum value, y = 3, and x takes the maximum value, x = 2, we have the vertex:
(2, 3)
When y takes the minimum value, y = 0, and x takes the maximum value, x = 5, we have the vertex:
(5, 0)
Then the four vertexes are:
(0, 0), (0, 3), (2, 3), and (5, 0)
x + 5 ≤ 13 what's the answer for this question?
Answer:
Inequality Form: x ≤ 8
Interval Notation: (-∞,8]
Step-by-step explanation:
x + 5 ≤ 13
Subtract 5 on both sides...
13 - 5 = 8
You're left with x ≤ 8
Inequality Form: x ≤ 8
Interval Notation: (-∞,8]
Type SSS SAS ASA AAS or HL to justify why the two larger triangles are congruent
Answer:
HL
Step-by-step explanation:
We know the following:
The hypotenuse, DB, of ∆BAD is congruent to the hypotenuse, CA, of ∆CBA.
Also, a leg, AB in ∆BAD is congruent to a leg, AB in ∆CBA.
This shows that the hypotenuse and a leg of ∆CBA is congruent to the hypotenuse and the corresponding leg of ∆BAD. Based on the Hypotenuse-Leg Theorem, both triangles are congruent.
An experiment to improve eyesight with a new drug involves 100 subjects. 50 subjects are randomly chosen to receive the treatment and the other 50 subjects receive a placebo. There was very little difference between the success rate of the treatment group and the placebo group. The success of the placebo group may be due to Group of answer choices
Answer: Hello your question lacks the required options but I will provide a more general answer
answer : Ineffectiveness/failure of the experimental Treatment given to the 50 subjects in the Treatment group
Step-by-step explanation:
The Placebo treatment is a treatment given for the purpose of psychological benefit. it does not have a therapeutic effect on the individual.
Given that there is very little difference between the success rate of the group whom actually receive the treatment ( for the purpose of therapeutic effect ) and the group that received placebo treatment we can conclude that the success of the Placebo group is due to the ineffectiveness of the Treatment given to the 50 subjects in the Treatment group
A number added to five equal to negative eleven find the number
Answer:-16
Step-by-step explanation: -16 + 5 = -11
Find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of -1. Show your work for full credit.
Help
hi I love you wibsiwb
which of the functions below could have created this graph?
A. F(x)=x^8+4x+20^2
B. F(x)=x^9+12x^8+x^7
C. F(x)=-x^6+x^3-x^2
D. F(x)=-x^7+4x^3-2x^2
Answer:
The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.
Step-by-step explanation:
Find the value of x.
9514 1404 393
Answer:
x = 136
Step-by-step explanation:
The angle marked x° is half the sum of the intercepted arcs:
x° = (130° +142°)/2 = 272°/2
x = 136
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
A.
28 feet
B.
-52 feet
C.
-28 feet
D.
52 feet
Answer:
The answer is D.
Step-by-step explanation:
It is D because they cannot be negative feet away and if the fisherman is 12ft above water and the diver is 40ft below than 40 + 12 = 52. Hope this helps.
Can someone tell e where to plot this? (PLEASE NO FILE ANSWER). !!!
Step-by-step explanation:
x<5
This means that we want to graph all the numbers less than 5, but not 5 itself. So the circle is selected onto the 5 mark, we make it open, and we make the graph go to the left of the circle.
Answer:
1.Make the circle open
2.put the dot on 5
3. change direction
Step-by-step explanation:
A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.
Have a nice day! :-)
Simplify c^3d^4/c^2d
Answer:
I think the answer is :-
[tex]c {d}^{3} [/tex]
The simplification of c^3d^4/c^2d is cd^3.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
For the given situation,
The expression is c^3d^4/c^2d.
The simplification is as
⇒ [tex]\frac{c^{3}d^{4} }{c^{2}d }[/tex]
⇒ [tex]\frac{(c^{2})( c)(d^{3} )(d)}{c^{2} d}[/tex]
⇒ [tex]cd^{3}[/tex]
Hence we can conclude that the simplification of c^3d^4/c^2d is cd^3.
Learn more about simplification of an expression here
https://brainly.com/question/13730519
#SPJ2
Factor the algebraic expression (x - 1)2
- (y - 2)2
Answer:
2(x-y+1) Is The Awnser
Samantha brings $34 to the county fair. First, she pays the admission fee of $8.50. Next she buys a corn dog for
$4.50. Samantha plans to spend the rest of her money on ride tickets. Each ride ticket costs $1.75.
Enter the maximum number of ride tickets Samantha can buy with her remaining money.
Answer:
12 rides
Step-by-step explanation:
First, get the total and subtract it from the expenses.
34 - 8.50 - 4.50 = 21
Then divide the answer by how much each ride costs to find the answer
21 ➗1.75 = 12
So Sam can ride 12 rides.
Please help on number one I’ve been so stuck
Answer/Step-by-step explanation:
Ok so x,y. is the first thing you need to know A. 1, -5 = X, -Y.
the number from the x grid goes before the y see the arrows seperating the squares the vertical line is the X any numbers coming off of x go before y ok, x, y.
See the -5, -5 on the bottom right square both of those are negative and since E. is negative (-2, -2) it gets placed in the negative bottom right square ok.
now you see how for some squares there is only 1 number for them well the number on the other side where there is no number is the number. In the top right square there is only 5 on the y line meaning that if u look beyond that and where the other number suppose to be the -5 is there so -5 is the answer for that ok.
(The 0 in the middle is called the "Origin")
Hope this helps! I didn't exactly answer because there's no way to answer without downloading or submitting an image but it wont let me download it for some reason.
Top right square = -5, 5.
C. goes into the top right square
Top left = 5, 5.
B. goes into the top left square
Bottom right square = -5, -5.
E. gets placed in the bottom right square
Bottom left square = 5, -5.
D. gets placed in the bottom left square
A. gets placed in the bottom left square
~ LadyBrain
The supplement of an angle is 12 less than 3 times the angle. Find the angle and its supplement
Answer:
[tex]\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}[/tex]
Step-by-step explanation:
Let the angle be [tex]\theta[/tex]. Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Therefore, we can set up the following equation:
For some angle [tex]\theta[/tex], the supplement of [tex]\theta[/tex] will be [tex]180-\theta[/tex].
[tex]3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=\frac{192}{4}=\boxed{48^{\circ}}[/tex]
Now solving for the supplement:
[tex]\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}[/tex]
6. A vertex is a point where _____ or more edges meet.
Answer:
2
Step-by-step explanation: