You have a bag of gummy worms with 5 green, 3 blue, 6 red, and 2 orange. Which expression represents the probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm?
Answers
Answer:
\(\frac{1}{8}\) I think
Step-by-step explanation:
you have a bag witha a total of 16 gummy worms right? 6 out of 16 of them are red, 5 out of 16 are green.
so you pull out a red one and eat it. the probabilty of you doing that is \(\frac{6}{16}\) . keep it in mind that you ate a gummy worm.after enjoying that gummy worm you decide to take another one, but this time, it's green. you know you just ate one right, but you did not replace it now did you? what that means is out of the 16 gummies you had, you are now left with 15 (because you ate one).now you are left with 15 gummy worms. you take a green one out of the packet. the probabilty of you doing that is \(\frac{5}{15}\).now that you've got your probabilities all sorted, now it's time to use some basic probability principles. if you ever come across a probability question with the word and, you need to know automatically that you are multiplying. if you ever come across the word or, you are adding. it's always gonna be like this.
so when you multiply your two probabilities, you get the answer \(\frac{1}{8}\)
whenever you're dealing with probability, make sure you're aware of things that are being taken. check whether they're being replaced or not. the way I attempted at working it out is how the other probability questions involving replacements are solved, no matter what it is.
I really hope you found this helpful (that is if all I said is correct) :)
Related Questions
Here's a graph of a linear function. Write the
equation that describes that function.
xpress it in slope-intercept form.
Answers
Answer:
the slope intercept form is y = (1/2)x - 1
Step-by-step explanation:
The slope-intercept form is, y = mx + b
We see from looking at the graph that,
at x = 0, y = -1
So, from this we find that b = -1
at x = 2, y = 0,
now, we find the slope m,
using,
\(m = \frac{y_{2} -y_1}{x_2-x_1}\)
Using x_2 = 2, y_2 = 0,
x_1 = 0, y_1 = -1, we get,
m = (0-(-1))/(2-0)
m = 1/2
So, the slope intercept form is,
y = (1/2)x - 1
The perimeter of the triangle below is 54 units. Find the value of y.
Answers
Answer:
y = 7
Step-by-step explanation:
3y + (y+1) + (4y-3) = 54
3y + y + 4y + 1 - 3 = 54
8y - 2 = 54
8y = 54 + 2
8y = 56
y = 56/8
y = 7
Check:
3*7 + (7+1) + ((4*7)-3) = 54
21 + 8 + 28-3 = 54
29 + 25 = 54
Is the given number a solution of the equation? Which value of d is a solution to the equation 13 – d = 8? 7 5 4 2
Answers
Answer:
d = 5 is a solution to the equation 13 - d = 8
Step-by-step explanation:
We have to solve 13 - d = 8
Now,
13 - d = 8,
We add d on both sides,
13 - d + d = 8 + d
13 = 8 + d
we subtract 8 from both sides,
13 - 8 = 8 - 8 + d
5 = d
d = 5
Hence the answer is 5
solve the question:-4x +5=13
Answers
Let's begin by identifying key information given to us:
\(\begin{gathered} -4x+5=13 \\ \text{Add ''4x'' to both sides, we have:} \\ -4x+4x+5=13+4x \\ 5=13+4x \\ \text{Subtract ''13'' from both sides, we have:} \\ 5-13=13-13+4x \\ -8=4x\Rightarrow4x=-8 \\ 4x=-8 \\ x=-\frac{8}{4}=-2 \\ x=-2 \end{gathered}\)3. Ms. Mason bought 24 bags of chips for $0.52 each. What was the total cost of
the pencils before sales tax was added? Show your work!
Answers
Answer:
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HELP, ME PLEASE LOOK AT THE PHOTO TRUE OR FALSE
Answers
Answer:
The answer is false. 2 is not congruent to 5.
Honestly, someone has a different answer but they have a whole paragraph so I think you should listen to what they say.
Answer:
True
Step-by-step explanation:
Same-side exterior angle converse theorem states that if two lines are intersected by a transversal and the same-side exterior angle are congruent, then the two lines are parallel. One can apply this theorem to the given case, and thus lines A and B are parallel.
∎=32÷4 answer plss. hsvhrxkfhgt
Answers
Answer:
hi
Step-by-step explanation:
32÷4=8
check it like this-
8×4 is 32
have a nice day
Answer:
8
Step-by-step explanation:
8*4=32
or
8+8+8+8=32
a 5000 -seat theater has tickets for sale at $27 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $154,500?
Answers
2731 tickets should be sold at $27 and 2269 tickets should be sold at $40.
Given that,
A 5000-seat theater has tickets for sale at $27 and $40.
How many tickets should be sold at each price for a sellout performance to generate total revenue of $154,500 is to be determined.
Here,
Let the number of seats sold for $27 be x and for $40 be y
For a 5000-seat theater
x + y = 5000
x = 5000 - y - - - - - - (1)
Total revenue generated is $154,500 by selling x tickets at $27 and y tickets at $40.
27x +40y = 154,500 - - - - - - (2)
Solving equations 1 and 2
27(5000 - y )+ 40y = 154,500
125,000- 27y + 40y = 154,500
13 y = 29500
y =2269
Putting y in equation 1
x = 5000 - 2269
x = 2731
Thus, 2731 tickets should be sold at $27 and 2269 tickets should be sold at $40.
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A triangle LMN with ln = 12 cm,Nm= x cm, Nk = 6cm and Km 8cm
Calculate the value of
(i) x
(ii) o
Answers
The value of x is 9 cm, and angle O is 0 degrees.
To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:
(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:
c^2 = a^2 + b^2 - 2ab * cos(C)
In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:
LN = 12 cm
NK = 6 cm
KM = 8 cm
Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.
Using the Law of Cosines, we can write the equation for side NM (x):
x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)
We don't know the value of angle N yet, so we need to find it using the Law of Sines.
(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:
sin(A) / a = sin(B) / b = sin(C) / c
In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.
We can write the equation for angle O:
sin(O) / 8 = sin(N) / 6
Now, let's solve these equations step by step to find the values of x and angle O.
To find angle N, we can use the Law of Sines:
sin(N) / 12 = sin(180 - N - O) / x
Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:
sin(N) / 12 = sin(O) / x
Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):
sin(N) / 12 = (6 / 8) * sin(N) / x
Now, we can solve this equation for x:
x = (12 * 6) / 8 = 9 cm
So, the value of x is 9 cm.
To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:
sin(O) / 8 = sin(N) / 6
sin(O) / 8 = sin(O) / 9
9 * sin(O) = 8 * sin(O)
sin(O) = 0
This implies that angle O is 0 degrees.
Therefore, the value of x is 9 cm, and angle O is 0 degrees.
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The figure for the given question is provided here :
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
Answers
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Answer:A function should pass the vertical line test.
Graph each of the functions to determine whether it passes the vertical line test.
Set #1 is a function
Set #2 is a function
Set #3 is not a function
Set #4 is not a function
Set #5 is not a function
Set #6 is not a function
Step-by-step explanation:
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
Determine the value of `w(25)`.
What does this value say about the wolf population?
Answers
Answer:
w(25) = 96
There are 96 wolves in the year 2020
Step-by-step explanation:
Given:
\(w(x)=14\cdot 1.08^{x}\)
w(25) =
\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)
Number of years : 1995 + 25 = 2020
In 2020, there are 96 wolves
Function c
is defined by the equation c(n)=50+4n
. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n
.
True or False? The inverse function is as follows:
n=(c(n) − 50)×4
Responses
Answers
Answer:
False
Step-by-step explanation:
1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4
At a local print shop, 14 copies can be made for $4. At this rate, how much would it
cost to make 63 copies?
Fill out the table of equivalent ratios until you have found the value of x.
Copies Dollars
14
4
63
2
Answers
Answer:
18 dollars
Step-by-step explanation:
63 divied by 14 = 4.5 x 4 = 18
A rectangular field with perimeter of 80m is to have an area of at least 380m² . Describe the possible lengths and of the field.
Answers
\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)
\(perimeter = 2x + 2y \\ area = xy\)
\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)
\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answers
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
4. Chelsea determined that the value of x in the triangle at the right was 5.
a. Find the value of each angle by substituting 5 for x.
b. Was Chelsea's solution, x = 5, correct? How do you know?
15x
x
11x
(8x+5)
Z
Answers
Step-by-step explanation:
a) 11*5=55
15*5=75
8*5+5=45
b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°
helppppp i dont know pslßss
Answers
Answer:
width=3
Step-by-step explanation:
area=length X width
length=4 X width
=>area=4 X width X width
=>area=(2 X width)^2
=>36=(2 X width)^2
=>6=2 X width
=>width=3
the area of a rectangle is length times width
A = L times W
A = 26. so 36 = L times W
The length is 4 times the width
L = 4W
Thus, we can switch L to 4W in the area equation
36 = 4W ×W = 4W²
36 ÷ 4
=√9
=3cm
Part 1 of 2
Evaluate the function f(x)=x-7 at the given value of the variable.
a. f(13)
b. f(3)
Answers
Answer:
a)
b)-4
Step-by-step explanation:
a) f(13) = 13-7=
b) f(3)= 3-7= -4
kyla earned 630 per week. Is she worked 30 hours, what is her hourly rate?
Answers
Answer:
$21
Step-by-step explanation:
Hello,
She earned $630 for 1 week.
In 1 week, she worked 30 hours.
So, she earned $630 for 30 hours.
The hourly rate is then 630 / 30 = 21.
Thank you.
Hello, I need help completing this math problem. I will include a picture. Thank you so much!
Answers
From the given picture, we can see that the figure is a right triangle, so we can apply Pythagorean theorem, that is,
\(5^2+8^2=x^2\)where x denotes the missing length. Then, our equation give us
\(\begin{gathered} x^2=25+64 \\ x^2=89 \end{gathered}\)By taking square root to both side, we have
\(\begin{gathered} x=\sqrt[]{89} \\ x=9.4339 \end{gathered}\)Therefore, by rounding this result to the nearest tenth, the answer is 9.4 ft
Answer now!!!!! Plz!!! In a recent year, 31.2% of all registered doctors were female. If there were 55,400 female registered doctors that year, what was the total number of
registered doctors?
Round your answer to the nearest whole number
Answers
Answer:
17285 female doctors
Step-by-step explanation:
We need 31.2% of 55,400 doctors to do this we multiply 31.2% by 55,400
0.312 is 31.2% as a decimal
so we do...
0.312 * 55,400 = number of female doctors
if type that into a calculator you get 17284.8
17.284 rounds to 17285
so the answer is...
17285 female doctors
Which statement(s) about the line below are true? Select all that apply.
Answers
The slope is traveling upwards
Given that:
Answer: B and C
Ethan’s water bottle is 1/2 full. Olivia’s water bottle is 2/6 full. Who has a more filled water bottle?
Answers
Answer:
Ethan's
Step-by-step explanation:
Ethan's is 1/2 and Olivia's simplified to be 1/3.
Ethan needs only 2 to have a full bottle and Olivia need 3 to have a full bottle.
Joseph is shopping for school supplies. He can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. Which is a better buy? Show your reasoning.
Answers
One -tenth of books are picture books 2/10 are story books and half are science fiction and remainings are encyclopaedia what fraction are encyclopaedia
Answers
Answer:
1/5 of books are encyclopediaStep-by-step explanation:
Remaining fraction:
1 - (1/10 + 2/10 + 5/10) = 1 - 8/10 = 2/10 =1/51/5 of books are encyclopedia
Answer:
Let the total fraction of books be 1, then;
\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)
Therefore, 1/5th of the books are encyclopaedia.for each of the following polynomial functions, write the equation of a different polynomial function that has the same key characteristic. explain your thinking.
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Draw the given graph.
STEP 2: Get the function plotted on the graph.
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A real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged,” meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the five staged homes was $175,000 with a standard deviation of 35,000. A dotplot of each sample shows no strong skewness and no outliers.
The agent tests H0: μ1 – μ2 = 0, Ha: μ1 – μ2 < 0, where μ1 = the true mean selling price of all comparable empty homes and μ2 = the true mean selling price of all comparable staged homes. Are the conditions for inference met for carrying out a t-test for a difference in means?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all of the conditions for inference have been met.
Answers
Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.
Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.
The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.
The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.
The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.
Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.
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f(x)=x²-25
Find f(9)
Answers
really need help with this problem
Answers
Answer:
tanC = 3/4
Step-by-step explanation:
by Pythagoras theorem first find the line DE =
\(36^{2}\)+\(DE^{2}\)=\(45^{2}\)
-> DE=27
then we know that tanθ=opposite/adjacent
so, 27/36 =tanC
simplified: tanC = 3/4