Given :
There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded.
Dionte buys two tickets.
To Find :
The probability that he will win both price.
Solution :
Number of prizes available, p = 2
Probability of getting price from first draw :
[tex]P_1=\dfrac{2}{36}\\\\P_1=\dfrac{1}{18}[/tex]
Probability of getting price from second draw if he won first prize :
[tex]P_2=\dfrac{2-1}{36-1}\\\\P_2=\dfrac{1}{35}[/tex]
So, probability of winning both prize :
[tex]P=P_1\times P_2\\\\P=\dfrac{2}{36}\times \dfrac{1}{35}\\\\P=0.00159[/tex]
Therefore, probability of winning both prize is 0.00159 .
Hence, this is the required solution.
PLEASE HELP ME
Write the equation from each line
Answer:
1) y = 2x - 2
2) y = - x - 1
3) y = 2/3 x + 1
4) y = 4x - 4
5) y = 3x + 6
6) y = -3x -3
7) y = 3 - x
8) y = 4 - 4x
(this is english but more people are on math i think) what are two ways to introduce textual evidence??
[tex]I\;would\;say\;one\;way\;do\;it\;is\;like\;this...\\\\"He's\;not\;very\;brave\;after\;all"\;\;(Page\;12)\\\\Another\;way\;to\;do\;it\;is\;like\;this...\\\\According\;to\;the\;authour\;the\;man\;couldn't\;face\;his\;fear\;of\;heights. \;\;(Pg\;13)[/tex]
What is 6(x-6)=x(16-7) as well as the steps?
Answer:
x = -12
Step-by-step explanation:
6x - 36 = 9x
-36 = 3x
3x = -36
x = -12
Answer:
x = -12
Step-by-step explanation:
6(x-6) = x(16-7) given
6x - 36 = 16x -7x distributive multiplication
6x - 36 = 9x simplify
-3x - 36 = 0 subtract 9x to both sides of equality
-3x = 36 add 36 to both sides of equality
x = -12 divide by -3 to both sides of equality
The IQ scores of the middle 50% of a population can be written as the one above
Where x is a person’s IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
Answer:
90≤x≤110
Step-by-step explanation:
Given two inequality |x-100/15|≤2/3
The modulus value can be negative or positive
For the postive value. x-100/15≤2/3
Cross multiply
3(x-100) ≤30
3x-300≤30
3x≤330
x≤110
For the negative value;
-(x-100)/15≤2/3
100-x/15≤2/3
3(100-x) ≤30
300-3x≤30
-3x≤-270
x≥90
90≤x
Combining both inequalities.
90≤x≤110
(3+\sqrt(2))^(2)-(3-\sqrt(2))^(2)
Step-by-step explanation:
Can you take picture I don't understand the given
The student council made a pront of $3,000 on a car wash. If they invest the money at 5% interest
compounded yearly, how much money would they have in four years?
Answer:
$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
Step-by-step explanation:
We are given:
Principal Amount = $3000
Interest Rate r = 5% or 0.05
n=1 (compounded yearly)
Years t= 4
We need to find future value (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values in formula and finding future value A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.05}{1})^{1*4}\\A=3000(1+0.05)^4\\A=3000(1.05)^4\\A=3000(1.215)\\A=3375[/tex]
So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
Luke called a repairman to fix the furnace at his cabin. The repairman charged $35 per hour plus a fee of $25 for the service call, as represented by the expression in the box.
(THE EXPRESSION IN THE BOX IS "35x + 25")
In the expression, what is represented by the variable x?
A) the number of hours it took the repairman to fix the furnace.
B) the distance in miles from the repairman's shop to Luke's cabin.
C) the number of service calls made by the repairman to Luke's cabin.
D) the total amount in dollars that Luke paid to have the furnace repaired.
(I need the answer ASAP)
Answer:
The answer is A.
Step-by-step explanation:
To find the value you have to know how many hours the repairman took to repair. Then after you find how many hours he took multiply the hours by 35 than add 25.
So the equation would look like 35x hr+25 =
hr=hours
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b.
Step-by-step explanation:
Answer:
a. 6
b. 0 i think
Step-by-step explanation:
Answer the questions. All help needed.
1. Multiply all the x and y by 2
M (-6,4)
A (-4,6)
T (-2,4)
H (-4,2)
2. They stayed in the same quadrants. The x and y values shifted.
3. Scale factor of 1/2
4. .....mayhaps?
If 8 is an element in the domain of f(x)=
8x−18
5, what is the corresponding element in the range?
In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
Abby takes a ride-sharing service to ride from her home to the mall. The ride-sharing service charges $1.75 per mile plus a one-time charge of $5.00. Which equation can be used to find y, the total cost of the ride, given x represents the number of miles of the ride
Answer:
y=1.75x + 5.00
Step-by-step explanation:
Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.
Answer:
Step-by-step explanation:
7x + 14 = 8.4x
14 = 1.4x
x = 10 hours
Each works 10 hours. Their total is 84 dollars each.
What is the value of the expression shown below (3/5)^2+4×3-2 PLZ HELP THIS ASSIGNMENT IS DUE IN 10 MINUTES
Answer:
[tex]10\frac{9}{25}[/tex]
Step-by-step explanation:
Answer:
10 9/25
Step-by-step explanation:
i did mathsss i hope this does help tho
What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny Miller can paint it in 6 min, then how long would it take them working together?
If Ben can paint a single coat of the fence in 8 min, then how much of the fence could Ben paint in 1 min?
If Johnny can paint a single coat of the fence in 6 min, then how much of the fence could Johnny paint in 1 min?
If Ben and Johnny work together to paint a single coat of the fence, then let t represent the amount of time they each spend painting. What operation should be used to set up an equation that represents how long they would take to paint a single coat of the fence?
Solve the equation for t. How long will it take Ben and Johnny to paint the fence? Round your answer to the nearest tenth of a minute.
Answer:
I'm confused on what it's asking
Step-by-step explanation:
What is the equation of the graphed line written in standard form?
Answer:
C. y = -2/3x -2
Step-by-step explanation:
We know the slope is negative. You can find slope using rise/run. The y-intercept is -2 because the line meets -2 at the y-intercept.
Answer:
The first answer (top)
Step-by-step explanation:
Standard form is ax+by=c
a and b are the coefficients
Take a point from the given line
I chose (0, -2)
Then, plug in the values of x and y
2*0+3*-2=-6
-6=-6
Since it works the standard form of the line is 2x+3y=-6
7(1 - x) = 10 – 6(x + 2)
Answer:
Step-by-step explanation:
x=9 i think.
White any four rational numbers having the denominator 2 or power of
2. then express them in decimals. Are the decimals always terminating?
While the remarks of your investigation.
9514 1404 393
Answer:
1/2 = 0.53/16 = 0.18755/64 = 0.0781257/2048 = 0.00341796875yesStep-by-step explanation:
A terminating decimal has an equivalent denominator that is a power of 10. That is, it is the product of a power of 2 and a power of 5.
Any fraction that has a denominator that is a power of 2 can be expressed as an equivalent fraction with a power of 10 as the denominator.
Example:
[tex]\dfrac{7}{2048}=\dfrac{7}{2^{11}}=\dfrac{7\cdot5^{11}}{2^{11}\cdot5^{11}}=\dfrac{7\cdot5^{11}}{10^{11}}=0.00341796875[/tex]
hope this helps.enjoy!!!!!!
Solve the system by substitution. 4x=8y 2x+5y=27
Answer:
(6, 3)
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
4x = 8y
2x + 5y = 27
Step 2: Rewrite systems
x = 2y
2x + 5y = 27
Step 3: Solve for y
Substitute: 2(2y) + 5y = 27Multiply: 4y + 5y = 27Combine like terms: 9y = 27Isolate y: y = 3Step 4: Solve for x
Plug in y into an original equation to find x.
Substitute: 4x = 8(3)Multiply: 4x = 24Isolate x: x = 6Answer:
[tex](6,3)[/tex]
Step-by-step explanation:
[tex]4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y[/tex]
[tex]2(2y)+5y=27\\4y+5y=27\\9y=27\\9y/9=y\\27/9=3\\y=3[/tex]
[tex]x =2y\\x= 2(3)\\x=6[/tex]
Which ordered pairs are NOT a solution of y = 2x + 1? Select all that apply. (3, 7) (3, 7) (0, 1) (0, 1) (-1, 1) (-1, 1) (-3, -5) (-3, -5) (-2, 3)
Answer:
The ordered pairs are;
(-1,1) and (-2,3)
Step-by-step explanation:
Here, we want to select which ordered pair is not a solution to the given equation
The one that will not be a solution will be a point at which if we insert the x-value into the equation, we do not get the y-value at that point
For (3,7
2(3) + 1 = 7
For 0,1
2(0) + 1 = 1
For (-1,1)
= 2(-1) + 1 = -2 + 1 = -1
This is wrong
(-3,-5)
= 2(-3) + 1 = -6 + 1 = -5
(-2,3)
= 2(-2) + 1 = -4 + 1 = -3
This is wrong also
PLEASE PLEASE HELP ME ! Jerry wants to buy his grandpa's old car for $500.00. He works 10 hours a week
at $7.50 an hour. How many weeks will he need to work before he earns enough
money to buy the car? Write and equation
Answer:
Step-by-step explanation:
Needs $500 Makes 7.50 and works 10 hours week.
7.50*10= $75.00 a week
500/75= 6.6 weeks or 6 weeks and 2/3 of a week. I'd round to 7 weeks.
75(x)=500 X= weeks needed.
75x=500 if you divide 500 by 75
x=20/3 or 6.6
Graph the equation on the coordinate plane y=-3/2x -4
Answer:
The 3, and -4 are the places where you start, then just graph 1/2 and -3 as slope
Step-by-step explanation:
Step-by-step explanation:
you start at -4 and then you go down 3 and to the right 2
What is the x- coordinate of the point (6,8)?
A. 6
B. 8
C. -6
D. -8
Answer:
A
Step-by-step explanation:
The coordinate is in the form (x,y) so the x-coordinate would be 6
use the multiplier method to increase £258 by 43
Answer:
The new value after an increase
of £258 by 43 will be: 368.94
Step-by-step explanation:
As we have to increase £258 by 43 using the multiplier method.
Let 'n' represent the new value after the increase of £258 by 43 using the multiplier method.
Using the formula
n = 258 + percentage increase
[tex]=258+\left(43\%\:258\right)[/tex]
[tex]=258\:+\:43\%\:\times 258[/tex]
Factoring out 258
[tex]=\left(1\:+\:43\%\right)\:\times \:258[/tex]
as 1 = 100 / 100 = 100%
so
[tex]=\left(100\%\:+\:43\%\right)\:\times \:258[/tex]
[tex]=143\%\:\times \:258[/tex]
[tex]=\frac{143}{100}\times 258[/tex]
[tex]=\:\frac{143\times 258\:\:}{100}[/tex]
[tex]=\:\frac{36,894\:\:}{100}[/tex]
[tex]=368.94[/tex]
Therefore, the new value after an increase
of £258 by 43 will be: 368.94
Can someone graph this
Answer:
Here its graphed for u!!
Step-by-step explanation:
What is the volume of a sphere with a diameter of 23.5 in, rounded to the nearest
tenth of a cubic inch?
Answer:
V≈6795.2in³
Step-by-step explanation:
I think
Answer:
6795.2
Step-by-step explanation:
i got it right
Calculate the are of fabric that will be used?
Answer:
1582,6 cm²
Step-by-step explanation:
⬆ There I wrote for 1 fan, so for two fans
We first find the perimeter of the circle. Then find the center angle by comparing the perimeter of the section. Then use logic to reduce the area of large circles by the area of small circles
Sorry, I am Indonesian I use a translator, hope it helps
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DETAIL ANSWERSSUBJECT : MATHEMATICS
CLASS : JHS
CODE : 2
CODE CATEGORY : 8.2
#ComeOnLearning
The Cuevas family spends $48.73 on dinner Saturday night they leave a 18% tip. What is the tip amount they leave
Answer:
8.7714
Step-by-step explanation:
Can you help me? Thanks!
Answer:
the answer is here
Step-by-step explanation:
180- 68
=112
Evaluate the expression when a=4 and b=43
5
2
+(12−7+x) if x=6
Answer:
the answer will be 6 or 10