Work Shown:
n = number of questions = 8
p = probability of getting a question correct = 1/2 = 0.5
n*p = number of questions we expect Lee to get correct
n*p = 8*0.5
n*p = 4
We expect Lee gets about 4 questions correct.
4 question that lee guessed would be correct.
There 8 question of true and false.
Lee guessed every question.
Probability can be defined as ratio of favorable outcomes to the sample of events.
Here,
Probability of guessing right answer = 1/2 = 0.5
Probability of lee guessing right answer out of 8 question.
= 0.5 x 8
= 4
Thus, 4 question that lee guessed would be correct.
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Alex is x years old. Addison is y years younger. Find their combined age in 10 years’ time.
Answer:
x+10-y
Step-by-step explanation:
i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:
alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).
What is the slope, the Y-intercept and the equation for this graph??
Answer:
equation of the line: y=1/2x-1
slope :1/2x
y intercept: -1
Step-by-step explanation:
using y1-y2/x1-x2:
-1-0/0-2= -1/-2=1/2
the slope is 1/2.
plug in the numbers from the given points to find the y intercept:
-1=1/2•0+b
b= -1
the y intercept is -1.
with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.
so, the equation of the line is y=1/2x-1
Alberto bought his bicycle for$275. He sold for $350. What was the amount of his Percentage profit?
Answer:
Step-by-step explanation:
$350 -$275= $75 profit
In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is
Answer:
where is the figure and without figure what to do
A flat screen tv at Best Buy costs $699 . The sales tax in Virginia is 5.3%. How much tax will you pay on the TV?
Answer:
736.05
Step-by-step explanation:699.00 x 5.3%=37.047
699.00 + 37.05 = 736.05
Answer:
$37.05
Step-by-step explanation:
$699 × 5.3%
We must convert 5.3% into just a decimal (not a percentage)
To do so, move the decimal to the left two places.
This would be 0.053
699 × 0.053 = 37.047
Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place
37.047 rounds up to 37.05
$37.05 is how much tax will be paid on the TV
solve for c a(b-c)=d
Answer; c= -d/a + b
Step-by-step explanation:
I need help finding the slope, The y - intercept, and the equation?
Slope: -2/3
Y intercept: 5
Equation: y = -(2/3)x + 5
Hope this helped :)
Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were made during the game?
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
Answer:
x = -15/-3
Step-by-step explanation:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
14
Bolve for the value of z:
5
Z
25
Answer:
The answer is 15
Step-by-step explanation:
Thats what I got
Extra points!!
Given: Circle M
Given: Segment MA bisects Segment BC
Prove: Angle B is congruent to Angle C
Answer:
See Explanation
Step-by-step explanation:
[tex] In \: \odot M, \: \overline{MA} \: bisects \: \overline {BC}\\... (given) \\\\
\therefore \overline{MN} \: bisects \: \overline {BC}\\... (\because B-N-C) \\\\
\therefore BN \cong NC... (1)\\\\
In\: \triangle BMN \:\&\:\triangle CMN\\\\
BM\cong CM\\ (radii \: of \: same \: circle) \\\\
MN\cong MN\\ (common \:side) \\\\
BN \cong NC\\ (from\:1)\\\\
\triangle BMN \:\cong\:\triangle CMN\\.. (by\: SSS\: postulate) \\\\
\therefore \angle B\cong \angle C.. (CACT) [/tex]
Please help I don’t understand
Answer:
y = -2x+4
Exp:
Slope (m) =
ΔY
ΔX
=
-2
1
= -2
θ =
arctan( ΔY ) + 360°
ΔX
= 296.56505117708°
ΔX = 2 – 1 = 1
ΔY = 0 – 2 = -2
Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998
Equation of the line:
y = -2x + 4
When x=0, y = 4
When y=0, x = 2
Jasmine needs to solve the equation 9x + 12 = 3(x-8). Which
equations represent a first step Jasmine could use to solve the original
equation? Select all that apply.
Answer:
To find the value of x
1. Solve what it is in the parentheses
2. Combine like numbers on each side of the equation if is possible
3. Subtract 12 on both sides of the equation
4. Subtract 3x on both sides of the equation
5. Divide by 6 both sides of the equation
Step-by-step explanation:
9x + 12 = 3(x-8)
9x + 12 = 3x -24
-12 -12
9x = 3x -36
-3x -3x
6x = -36
6 6
x = -6
The equation that represent the first step that should be required is 9x + 12 = 3x -24.
Calculation of an equation:Since the equation is
9x + 12 = 3(x-8)
So
9x + 12 = 3x -24
6x = -36
x = -6
So based on this, we can say that The equation that represent the first step that should be required is 9x + 12 = 3x -24.
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What is the domain of this quadratic function?
The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.
simplify rs
r (0,a)
s (b,c)
p (b,-c)
q (0,-a)
Answer:
see explanation
Step-by-step explanation:
Calculate RS using the distance formula
d = [tex]\sqrt{(x_{2 -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = R(0, a) and (x₂, y₂ ) = S(b, c) , thus
RS = [tex]\sqrt{(b-0)^2+(c-a)^2}[/tex]
= [tex]\sqrt{b^2+(c-a)^2}[/tex]
Following are the calculation to the distance of rs:
Given:
Please find the question.
To find:
distance in rs=?
Solution:
Using the formula of distance:
[tex]\to d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
points:
[tex]\to R=(0,a)\\\\\to S=(b,c)[/tex]
[tex]\to (X_1, y_1) = R(0, a) \\\\ \to (x_2, y_2 ) = S(b, c)[/tex]
Calculate RS distance by using the above formula:
[tex]\to RS=\sqrt{(b-0)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{\sqrt{b^2+(c-a)^2}}[/tex]"
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Please help me with this question.
Multi Step Problem (Show work!!)
-4 + -5 = 8
Answer:
the answer is -9 not 8
Step-by-step explanation:
y=2x+3 for the slope
x= -3/2
Step-by-step explanation:
y=2x+3 for the slope
move the variable to the left
divide both sides
solution solve
Solve the equation for all real solutions.
k^2+8k+22=6
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {k}^{2} + 8k + 22 = 6 [/tex]
Subtract sides 6
[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]
[tex] {k}^{2} + 8k + 16 = 0[/tex]
[tex] ({k + 4})^{2} = 0[/tex]
Thus ;
[tex]k + 4 = 0[/tex]
Subtract sides 4
[tex]k + 4 - 4 = - 4[/tex]
[tex]k = - 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which scatter plot shows a nonlinear association for the data?
10
8
6
10-
8
6-
4
2
2
092746810
0 246810
yt
10
8
6
4
2
y+
10
8
6
2
0 246810
0 249698 10x
Answer:
10, 8, 6, 4, 2
Step-by-step explanation:
The Massachusetts Body of Liberties __________.Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)?
Answer:
Step-by-step explanation:
The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.
what is the Greatest common factor shared by 80 and 100
Answer:
20
Step-by-step explanation:
[tex]GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\[/tex]
so for two is
[tex]2^2[/tex]
and for 5 is
[tex]5[/tex]
so we multiply both
[tex]\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20[/tex]
we can use the euclidean algoritm as follows
[tex]100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd[/tex]
Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in wall per gallon?
35/25
1 7/25
1/2
1 3/32
Answer:
Since your answer needs to be in walls per gallon I would assume you divide 4/5 by 5/8 since that would tell you how many walls he can paint in an hour.
4/5 walls÷5/8 gallons=1.28walls/gallon.
Step-by-step explanation:I hope this helps. Let me know if anything is unclear.
What’s the answer hurry
Answer:
y=12x
Step-by-step explanation:
According to the table
48=12(4) which is true
60=12(5) which is true
96=12(8) which is true
Answer:
12, 60/5 is 12, 48/4 is 12, 96/8 is 12
530, 6%, 1 year i dont think the answer is 3189 it told me i was wrong so yea please help
Answer:
6% of 530 is 31.8 hope this is what you ment
Answer this for 15 points
Answer:
A.
Step-by-step explanation:
y = mx + b
y = -2/3 x + b
(x, y) = (3, 0)
0 = -2/3 (3) + b
0 = -2 + b
b = 2
y = -2/3 x + 2
Answer: A.
Answer:
y = - 2/3 + 2
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = - 2/3x + b Input Slope
Step 3:
0 = - 2/3 ( 3 ) + b Input x and y
Step 4:
0 = - 2 + b Multiply
Step 5:
2 = b Add 2 on both sides
Answer:
y = - 2/3 + 2
Hope This Helps :)
What is 2
1
4
·
9
5
?
Answer:
20,330
Step-by-step explanation:
214 times 95 is 20,330.
A leather jacket is priced at $130. There is an 8% sales tax rate. What is the sales tax for the jacket in dollars and cents?
Answer:
$10.40
Step-by-step explanation:
Multiply $130 with 0.08 to get the sales tax. 0.08 is the same as 8%, just in decimal form.
$130 * 0.08 = $10.40
Use the drop-down menu to complete the sentence.
Resistance is measured in units called _____.
Answer:
ohms
Step-by-step explanation:
Resistance is measured in units called ohms (symbol: Ω).
What is resistance?Resistance is a property of an electrical component that resists the flow of electric current through it.
We have,
Resistance is measured in ohms, which is the unit of electrical resistance. One ohm is the resistance value through which a current of one ampere will flow when a potential difference of one volt is applied across it.
Resistance is an important concept in electrical engineering and physics, as it is a fundamental property of electrical circuits and components.
Thus,
Resistance is measured in units called ohms (symbol: Ω).
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John bought 3 pants for 25 dollars each and paid with a one hundred-dollar bill. Write a numerical expression to represent this situation and then find how much money John gets back from the cashier?
explain the slope rules
I need them for my notes.
many thanks <3
Answer:
Rules for Calculating the Slope of Line
Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)
Step-by-step explanation: