Answer:
[tex]P(R\ and\ B) = 0.0256[/tex]
Step-by-step explanation:
Given
[tex]Red = 22[/tex]
[tex]Yellow = 38[/tex]
[tex]Green = 20[/tex]
[tex]Purple = 28[/tex]
[tex]Blue = 26[/tex]
[tex]Orange = 16[/tex]
Required
Determine the probability of red then blue jelly? i.e. P(R and B)
From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean
So, we have:
[tex]P(R\ and\ B) = P(R)\ and\ P(B)[/tex]
This is then solved further as:
[tex]P(R\ and\ B) = P(R)\ *\ P(B)[/tex]
[tex]P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}[/tex]
The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean
The equation becomes:
[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}[/tex]
[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}[/tex]
[tex]P(R\ and\ B) = \frac{22*26}{150*149}[/tex]
[tex]P(R\ and\ B) = \frac{572}{22350}[/tex]
[tex]P(R\ and\ B) = 0.02559284116[/tex]
[tex]P(R\ and\ B) = 0.0256[/tex]
Consider the function.
Which conclusions can be drawn about f–1(x)? Select two options.
Answer:
The function is being reflected
Step-by-step explanation:
When a function becomes negative it is being reflected
Answer:
C and E
f–1(x) has a y-intercept of (0, –36).
f–1(x) has a range of all real numbers.
Step-by-step explanation:
edge
if a human has 152 points then asks a question for 30 and then answers this one for 40 points. how many will he have after this?
show your work. ( or not idc )
Answer: 162
Work: 152 - 30 which equals 122, then add 40, and you get 162.
I hope this helps for something, and Happy Holidays! :)
A rectangle piece of land is 400m*150m.Find the cost of the piece of land if one square meter of land costs ₹15,000.
Answer:
900000000
Step-by-step explanation:
Area=400×500
=60000m²
Since
1m² = 15000
60000m² = x
x = 60000×15000
x = 900000000
Select Is a Function or Is not a Function to correctly classify each relation.
{(3, 2),(6, 4),(9, 6),(12, 8)}
{(2, 3),(2, 5),(3, 6),(9, 4)}
{(2, 4),(6, 3),(4, 8),(6, 6)}
{(3, 4),(5, 2),(6, 8),(6, 4)}
Which ones are functions and which ones aren't?
Answer:
first is a function second third ad fourth arent function
Step-by-step explanation:
In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.
Given:
As, we know the relation is said to be a function if we have distinct inputs.
If the inputs are repeated then it is not a function.
So, {(3, 2),(6, 4),(9, 6),(12, 8)} is a function.
Also, {(2, 3),(2, 5),(3, 6),(9, 4)} is not a function.
{(2, 4),(6, 3),(4, 8),(6, 6)} is not a function.
{(3, 4),(5, 2),(6, 8),(6, 4)} is not a function.
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Answer correct plz if u steal points ill report
Answer:
I think it might be y= x+2
Step-by-step explanation: because it is going up times 2 every time
OWO
Which of the following are like terms?
15y4,16y3
8y6, 6y8
16y2, 12y
13y25, 2y25
Answer: D) 13y^25 and 2y^25
Like terms involve the same variables, and each of those variables must have the same exponents.
Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.
If the expected value (the mean) of successes in a binomial experiment of 100 trials is 55. Which of the following are not true?Let x = the no. of successes of the 100 trials. Then P(s) = p = 55/100 = 0.55The standard deviation of the binomial distribution is approximately σ = √(npq) = √(100x0.55x0.45) ≈ 4.97The probability distribution of x = B(100, 0.55) can be approximated by N(55, 4.97)a) I onlyb) II onlyc) I and IId) All of the statements are true
Answer:
All of the statements are true
Step-by-step explanation:
Given that :
Number of trials (n) = 100
Expected number of successes = 55
The number of successes of the 100 trials :
Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55
Using Normal approximation :
Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45
σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975
The probability distribution of x = B(n, p) = x = B(100, 0.55)
Using approximation ; N(p, σ) = N(55, 4.97)
Hence, All of the statements are true
2/3 (a-18)=-6
What is a?
Answer:
a=9
Step-by-step explanation:
2/3 (a-18)=-6
a−18=−6×( 3/2)
a−18=−6×3/2
a−18= −18/2
a−18=−9
a=−9+18
a=9
Answer:
A=9
Step-by-step explanation:
Simplify both sides of the equation.
2/3(a−18)=−6
(2/3)(a)+(2/3)(−18)=−6(Distribute)
2/3a+-12=-6
2/3a-12=-6
Add 12 to both sides.
2/3a−12+12=−6+12
2/3a=6
Multiply both sides by 3/2
(3/2)* (2/3a)= (3/2)* (6)
A=9
Two families buy large sandwiches of the same size. Family A shares one sandwich equally among 4 people. family B shares one sandwich equally among 2 people. Will a person from Family A get the same amount or a different amount of a sandwich as a person from family B?
there's a drawing of 4 squares to represent the 4 ppl
Answer:
Different Amount
Step-by-step explanation:
4 is more than 2 and there would need to be 2 sandwiches in family a in order for them to be equal
When P(x) is divided by x-2 the quotient is Q(x) and the remainder is 5.When Q(x) is divided by x^2+2x+4 the remainder is 2x-3.What is remainder when P(x) is divided by x^3-8
Step-by-step explanation:
P(x)
= (x - 2)Q¹(x) + 5
= (x - 2)[(x² + 2x + 4)Q²(x) + 2x - 3] + 5.
Since x³ - 8 = (x - 2)(x² + 2x + 4),
(x - 2)[(x² + 2x + 4)Q²(x) + 2x - 3] + 5
= (x - 2)(x² + 2x + 4)Q²(x) + (x - 2)(2x - 3) + 5
= (x³ - 8)Q²(x) + (2x² - 7x + 11).
Hence when P(x) is divided by (x³ - 8),
the remainder is 2x² - 7x + 11.
FIND THE LCD FO 3/4 AND 7/9
Answer:
The LCD is 36.
Step-by-step explanation:
3/4 = 3/4 × 9/9 = 27/36
7/9 = 7/9 × 4/4 = 28/36
700 in standard form
Answer:
7 × 10²
Step-by-step explanation:
→ The first digit has to be above 1 and below 10
How do I Solve 2-V=17
Answer:
solution
-V=17-2
-V=15
Please help!!!!!!!!!!!
Answer:
Step-by-step explanation:
pounds / dollars =
You have to answer 2 questions.
1. Which axis are you reading first. Hint the question says pounds to dollars.
So you must be reading the x axis first. because it is pounds.
2. Where would the next point on the graph go.
You read along the x axis first. 25
then you read along the y axis. 20
The answer is 25,20 and that's where the next point goes.
Jason buys 8 colored markers at the art store. He handed the cashier $15. The cashier gave him back $1. How much did each marker cost?
Answer:
2.25
Step-by-step explanation:
i think though
Each colored marker costs $1.75.
What is Unit Rate?The amount of one quantity in another single quantity is termed as the unit rate of that quantity.
For example, speed is a unit rate in terms of distance and speed.
Number of colored markers Jason bought = 8
Cash that Jason gives the cashier = $15
Cash that cashier gives back = $1
Price of 8 colored markers = 15 - 1
= $14
We have to find the unit rate of the colored marker, that is the price of one colored marker.
Let x be the cost of the one colored marker.
Using proportion,
8 : 14 = 1 : x
8/14 = 1/x
Doing cross multiplication,
8x = 14
x = 14/8
x = 1.75
Hence the unit rate of the colored marker or the cost of one colored marker is $1.75.
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geometry help please !
Answer:
5 is the correct answer.............
In 2017, the population of a city is 11500, and is increasing exponentially at a rate of 3.1% per year (a) What will the population be in the year 2033? Population size = (b) In what year will the population have tripled? Year = Note You can earn partial credit on this problem
Answer:
(a) The population in the year 2033 is 18630.
(b) After nearly 36years from the starting population of 11500 we will get our population tripled.
Step-by-step explanation:
In 2017, the population of a city is 11500, and is increasing exponentially at a rate of 3.1% per year
This can be formulated with the compound interest formula, also we can think the given situation as we have 11500 rupees which increases at the rate of 3.1% per year.
we can formulate the given situation using the compound interest formula.
A = P(1 + [tex]\frac{r}{n}[/tex])^n*t
A is the final population
P is the initial population = 11500
r is the rate at which the population increases = 3.1A =% = 0.031
n denotes the number of times the population increases per year = 1
t is the time or year = 1
A = [tex]11500( 1 + 0.031)[/tex]^1*t
(a) The number of years to reach the year 2033 from 2017 is 16years.
so we have the value of t = 16
so the final population in the year 2033 will be
A = 11500(1+0.031)^1*16
= 11500(1.031)^16
= 11500*1.63
A = 18630
Therefore the population size in the year 2033 will be 18630.
(b) We need to find the year in which the population gets tripled. we will triple our population from the population which was in 2017
so the our equation will be
11500*3 = 11500(1+0.031)^1*t
3 = (1.031)^t
upon taking logarithm both sides we get
log(3) = t*log(1.031) ( using the property log(a^b) = blog(a)
0.477 = t*0.133
t = 0.477/0.0133
t = 35.86years
upon taking approximation we will get 36 years.
Therefore after nearly 36years from the starting population of 11500 we will get our population tripled.
Which value, when placed in the box, would result ina system of equations with infinitely many solutions?
y=-2x + 4
6x + 3y = O
-12
-4
4
12
Answer:
-4
Step-by-step explanation:
Which number line shows the solution of -5 + 10 > -15?
help this should be simple
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
[tex]2[/tex]
Step-by-step explanation:
For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
So...
[tex]y_2=30\\y_1=10\\x_2=70\\x_1=60[/tex]
Now we plug in and solve...
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{30-10}{70-60}\\m=\frac{20}{10}\\m=\frac{2}{1}=2[/tex]
So the slope will be 2.
What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.
Answer:
1
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
3-2/9-8
1/1
1
Best of Luck!
These points are linear. Find the slope.
Moving the decimal point to the right 4 places in a number is the same as?
Answer:
0^4
Step-by-step explanation:
lets say the number is 1.0 if you where to move the decimal to the right 4 place the number would then be 10,000.0. basically if it says 10^4 add 4 0's
Answer:
it is 10^4
Step-by-step explanation:
Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
What is the total running distance of the four runners?
Miranda cuts grass (g) for $20 and hour and trims hedges (h) for $25 an hour. She is trying to make enough money during the summer to buy a car for $4200.
Which inequality represents the number of hours Miranda needs to cut grass and trim hedges.
Answer:
20g + 25h ≥ 4200
Step-by-step explanation:
Miranda needs nothing less than $4200 to but a car
find the missing value of the direct variation (2,5) (5,y)
Answer:
The missing value y=12.5 and we have (5,12.5)
Step-by-step explanation:
The formula used for direct variation is:
[tex]y\: \alpha \:x\\y=kx[/tex]
We need to find missing value (2,5)(5,y)
First we will find k, and then y
We have x=2, y=5
Find k:
[tex]y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5[/tex]
Now, we cam find missing value in (5,y)
We have x=5, k=2.5 and y=?
[tex]y=kx\\y=2.5(5)\\y=12.5[/tex]
So, the missing value y=12.5 and we have (5,12.5)
Solve for X
5(3X-2)=5
Which point is located at 2 7/10?
Answer:
C
there are 10 spaces in between 2 and 3, so you just count up to it
Last year Hank cashed out his investment account that earned 4.5% simple interest after 10 years
of investing. He ended up with $350 in interest on the account. How much was his initial investment?
Show your work
I=
P=
R=
T=
Answer:
Initial investment= $777.78
Step-by-step explanation:
Giving the following information:
Last year Hank cashed out his investment account that earned 4.5% simple interest after 10 years of investing. He ended up with $350 in interest on the account.
To calculate the principal (initial investment), we need to use the following formula:
I= P*r*t
I= $350
r= 0.045
t= 10
P= ?
350= P*0.045*10
350/0.45 = P
$777.78= P