On a 4 sided dice what is the probability that a 1 was rolled?
Answer (round) to the hundredth place value.
Given:
A 4 sided dice is rolled.
To find:
The probability of getting 1.
Solution:
A 4 sided dice is rolled.
On a 4 sided dice, the possible outputs are 1,2,3,4.
Total number of outcomes = 4
Favorable outcomes or number of 1 = 1
Now,
[tex]\text{Probability of getting 1}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]\text{Probability of getting 1}=\dfrac{1}{4}[/tex]
[tex]\text{Probability of getting 1}=0.25[/tex]
Therefore, the probability of getting 1 is 0.25.
At a fundraiser, a school group charges $6 for tickets for a "grab bag." You choose one bill at random from a bag that contains 39 $1 bills, 19 $5 bills, 3 $10 bills, 7 $20 bills, and 3 $100 bills. Is it likely that you will win enough to pay for your ticket?
Answer:
no, the probability is only about 18%
Step-by-step explanation:
there are total of 71 bills of varying denominations in the bag
you need to select a bill that is $10 or more to cover your $6 expense; therefore, P($ ≥ 10) = 3 + 7 + 3 / 71 or 13 /71, about 18%
Given that f(x) = x2 + 12x + 32 and g(x) = 2 + 4, find (f - g)(x) and
express the result in standard form.
Answer:
(f - g)(x) = x² + 12x + 26
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
f(x) = x² + 12x + 32
g(x) = 2 + 4
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = x² + 12x + 32 - (2 + 4)Combine like terms: (f - g)(x) = x² + 12x + 32 - 6Combine like terms: (f - g)(x) = x² + 12x + 26In May 2007, the price of crude oil was at 61$ per barrel. A year later it was at 126$ per barrel. So ,If the price of the oil continued to climb at this rate , will barrel 1 have cost more than 200$ in December 2008? answer using ax+by=c
Answer:
Yes, it will cost $204.30.
Step-by-step explanation:
Given that in May 2007 the price of a barrel of crude oil was $ 61, and a year later it rose to $ 126, to determine the rate of increase we must perform the following calculation:
61 = 100
126 = X
(126 x 100) / 61 = X
206.55 = X
206.55 - 100 = 106.55
Therefore, a barrel of crude oil rose 106.55% in one year, which implies a rise of 8.87% per month (106.55 / 8.87). Given that December is 7 months apart, maintaining this average increase, the price of a barrel of crude oil in December 2008 arises from the following calculation:
8.87 x 7 = 62.15
126 x 1.6215 = 204.30
Therefore, maintaining this average increase, as of December 2008 a barrel of crude oil will cost $ 204.30.
Last month, Carly paid a gas and electric bill that totaled $150. The gas portion of the bill was $30. What percent of the bill did Carly pay towards her gas? (Hint: Write a proportion and remember what percents start as!) *
30%
20%
150%
45%
ILL GIVE BRAINLYIST
Answer:
I believe its 45%
Step-by-step explanation:
someone plssss helppppp i need it finished in like 20 min plsss help
Answer:
number of guest tickets, g, is 100 tickets
number of student tickets, s, is 125 tickets
Step-by-step explanation:
Given;
total number of tickets sold, t = 225 tickets
cost of each guest ticket, = $5.5
cost of each student ticket, = $3.5
total cost of the tickets, Tc = $987.5
number of guest tickets = g
number of student tickets, = s
g(5.5) + s(3.5) = 987.5 ------- (1)
g + s = 225 ----------- (2)
From equation (2); s = 225 - g
Substitute the value of g in equation (1)
5.5g + 3.5(225 - g) = 987.5
5.5g + 787.5 - 3.5g = 987.5
5.5g - 3.5g = 987.5 - 787.5
2g = 200
g = 200 / 2
g = 100 tickets
Then, s = 225 - g
s = 225 - 100
s = 125 tickets
The function V(x)=650(0.77)^x models the change in yearly value for Anya's cellphone. What was the original value of the cellphone? Does the function represent exponential growth or exponential decay?
Answer: ↓↓
Step-by-step explanation:
The original value of the cellphone is $650. The function represents an exponential decay because if it was exponential growth, the function would look like this:
[tex]V (x) = 650 (1.77)^{x}[/tex]
given f(x) = -3x - 1, solve for f(x)= -4
Answer:
its 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
x= -4
f(x)= -4
f(-4)= -3(-4) -1
=11
*
8. Determine the rate of change (slope) in the graph
Answer:
Step-by-step explanation:
2 calculate rise over run
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 10 ÷ 5 and 5 ÷ 10
Answer:
no, its not equivalent
Step-by-step explanation:
10/5= 2
5/10=0.5
ind an expression for the nth term (t_n) in each of the following
[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \ frac{1}{n}}}[/tex]
Step-by-step explanation:A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,
[tex]\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}[/tex]
When we flip the numbers , we can clearly see that the number are in Harmonic Progression.
That is when we flip the numbers they are found to be in Arithmetic Progression .
And nth term of an Harmonic Progression is :-
[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}[/tex]
Hence here
Common difference = 1First term = 1 .Substituting the respective values,
[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]
Hence the nth term of the given sequence is given by ¹/n .Answer: 1
Step-by-step explanation:
Please help me solve this and please also show work so I can understand it BETTER PLEASEEE ITS DUE
Answer:
6. 8b²-5b-4
7. -3x²+9x-4
8. 3
9. 6a+15
Step-by-step explanation:
you will subtract/add the numbers with the same variables and exponent.
ex. (number 6) 7b²+ b²= 8b²
5b= 5b 8b²+5b-4
1-5= -4
(plus 5b because it didnt come out to a negative) if you have any questions, say in the comments and ill try my best to help
PLEASE HELP!! WILL MARK BRAINLIEST!!!!
Answer:
Choice A (-18.75 or -75/4)
Mr. Garza is buying a new lawnmower. The lawnmower sells for $235.75. Sales tax is 8%. What is the total price do the lawnmower including the tax?
15y+3=36
Y=?/?
It’s asking for y in a fraction
Answer:
y = 33 / 15 = 11 /5
Step-by-step explanation:
subtract 3 from both sides,
15y = 33
divide 15 from both sides
y = 33/15
simplify ( divide top and bottom by 3)
y = 11/5
please help me on this.
Answer:
here
Step-by-step explanation:
so most of the time it would land on brown only 5% of the time would it land on red and the other there is a 0% chance
‼️‼️‼️ please help fast ‼️‼️‼️
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i believe the answer is either A or D
12x+9y=-36 4x+3y=-12 graphed
Answer:
graph attached
Step-by-step explanation:
12x+9y=-36
(12x+9y)/3=-36/3
4x+3y=-12
2 functions has the same value, they are identical line
What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?
A. O y=-3x+
B. O y = 2x - 3
CO y = 2x
DO y = 2x + 3
Answer:
The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:
[tex]y=2x+3[/tex]
Hence, option D is true.
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the equation
y = 2x - 1
comparing with the slope-intercept form y = mx+b
Hence, the slope of the line y = 2x - 1 is: m = 2
We know that the parallel lines have the same slopes.
Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values of the slope = 2 and the point (-1, 1)
[tex]y-1=2\left(x-\left(-1\right)\right)[/tex]
[tex]y-1=2\left(x+1\right)[/tex]
Add 1 to both sides
[tex]y-1+1=2\left(x+1\right)+1[/tex]
Simplify
[tex]y=2x+3[/tex]
Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:
[tex]y=2x+3[/tex]
Hence, option D is true.
pls help i’m not good at this lol
Answer:
You selected the right one, 12^5 :)
Mariah drank 2/3 cup of orange juice. A serving size of is 5/6 cup. What part of a serving did she drink?
Answer:
80% of a serving
Step-by-step explanation:
First, convert 2/3 into 6ths
2/3 = 4/6
She drank 4 of 5 6ths
This is 80% of a serving
Simplify 4x4-6x2+4-2x4+7x-10.
Answer:
7x-10
Step-by-step explanation:
-3p = -48
What does p equal
Answer:
p=16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
[tex] - 3p = - 48 \\ \\ p = \frac{ - 48}{ - 3} \\ \\ p = 16[/tex]
what is the length of a line segment with endpoints (3,-6) and (-2,6) ?
Answer:
13
Step-by-step explanation:
Solve the compound inequality and show your solution.
2(x – 14) – x < 7(x + 2) + x ≤ x + 70
Answer:
-6 x less than or equal to 8
Step-by-step explanation:
Line 1: 4x-6y= -6 Line 2: -3y=2x+5 Line 3: y= -3/2x-5 Are line 1 and 2: parallel, perpendicular, or neither? Are line 1 and 3: parallel, perpendicular, or neither? Are line 2 and 3: parallel, perpendicular, or neither?
Answer:
Line 1 and line 2 are neither parallel nor perpendicular
Line 1 and 3 are perpendicular to each other
Line 2 and line 3 are neither parallel nor perpendicular
Step-by-step explanation
Given the equations of the line
Line 1: 4x-6y= -6
Line 2: -3y=2x+5
Line 3: y= -3/2x-5
Before we can know which line is parallel or perpendicular to each other, we need to find their slope first
For line 1:
4x-6y= -6
Write in standard form y = mx+c
-6y = -4x - 6
Divide through by -6
-6y/-6 = -4x/-6 - 6/-6
y = 2/3 x + 1
The slope of line 1 is 2/3
For line 2:
-3y=2x+5
Divide through by -3
-3y/-3 =2x/-3 + 5/-3
y = -2/3 x - 5/3
The slope of this line is -2/3
For line 3:
y= -3/2x-5
this is already written in standard format. The slope of this line is -3/2
Note that for two lines to be parallel, they must have the same slope
For two lines to be perpendicular, the product of their slope must be -1
For line 1 and line2, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
For line 1 and line 3, we can see that their slope are not the same but the product of their slope is -1 (2/3 * -3/2 = -1), hence both lines are perpendicular.
For line 2 and line 3, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular
what information is necessary to prove two triangles are similar by SAS similarity thereom?
Answer:
two sides and an angle of the triangle should be equal
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.
Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready?
Let x represent the maximum and minimum time.
|x−15|=25
|x+15|=25
|x+25|=15
|x−25|=15
Answer:
x-25=15 or D
Step-by-step explanation:
I promise that is the answer
6x-8y-x+3y please this is hard
6x-8y-x+3y
= (6x-x)+(-8y+3y)
= 5x+(-5y)
=5x-5y
Answer:
5x-5y
Step-by-step explanation:
Equation;
6x-8y-x+3y(Group like terms)
Which is going to be;
6x-x-8y+3y
Then you proceed to simplify;
5x-5y
This is the final answer
What is the slope of the line?
Answer:
y= -x-2
Step-by-step explanation: