Matrix is handing out treats at a local protest to promote his new detective agency. He allows each participant to reach into his bag of goodies and select a treat. Then he replaces it with the same treat and shakes the bag before offering a treat to another person. Matrix’s bag bag of goodies contains the treats below.
Which model shows the probability of selecting each type of treat from his bag?
Answers
Answer:
D. Swordfish treat: 20%
Lizard Lollies : 50%
Puffer pops: 30%.
Step-by-step explanation:
We are told that Matrix is handing out treats at a local protest to promote his new detective agency.
Since he replaces the chosen treat each time with the same treat, so number of each treat remains same and it will not affect the probability for next person to choose the treat.
We know that [tex]\text{Probability}=\frac{\text{The number of favorable outcomes}}{\text{Total number of possible out comes}}[/tex].
Let us find probability of choosing each type of treat one by one.
[tex]\text{Probability of choosing swordfish treat}=\frac{\text{Number of swordfish treat}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing swordfish treat}=\frac{4}{4+10+6}[/tex]
[tex]\text{Probability of choosing swordfish treat}=\frac{4}{20}[/tex]
[tex]\text{Probability of choosing swordfish treat}=0.20[/tex]
Therefore, the probability of choosing swordfish treat is 0.20 or 20%.
[tex]\text{Probability of choosing lizard Lollies}=\frac{\text{Number of lizard lollis}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing lizard Lollies}=\frac{10}{20}[/tex]
[tex]\text{Probability of choosing lizard Lollies}=0.50[/tex]
Therefore, the probability of choosing lizard Lollies is 0.50 or 50%.
[tex]\text{Probability of choosing puffer pops}=\frac{\text{Number of puffer pops}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing puffer pops}=\frac{6}{20}[/tex]
[tex]\text{Probability of choosing puffer pop}=0.30[/tex]
Therefore, the probability of choosing puffer pops treat is 0.30 or 30%.
Upon looking at our given choices we can see that option D is the correct choice.
Answer: D
Step-by-step explanation:
Related Questions
area of a square when 1 side is 44cm
Answers
To find the area it’s multiply the base and height: 44*44=1936cm^2
So your answer would be 1936cm^2
I hope this helps :)
a day care center charges a $75 enrollment fee plus $100 per week which of the following represents the cost of sending a child to daycare for 14 weeks?
Answers
Answer:
cost of sending a child to daycare for 14 weeks is $1475
Step-by-step explanation:
a day care center charges a $75 enrollment fee plus $100 per week
LEt x be the number of weeks
cost of sending a child to day care = 100x + 75
To find the cost for 14 weeks, we plug in 14 for x
cost = 100(14) + 75= 1400+75 = 1475
cost of sending a child to daycare for 14 weeks is $1475
WILL GIVE BRAINLIEST: Which of the following are solutions to the equation below
x^2+3x-18=0
A 9
B 3
C -3
D 6
E 18
F -6
Answers
Whenever you see ______ it is a blank spot where I need to fill in information.
An employee at a state park has 43 photos of animals found at the park. She wants to arrange the photos in rows so that every row except the bottom row has the same number of photos. She also wants there to be at least 4 rows.
Complete the description of two different ways she can arrange the photos.
She can arrange the photos as
______ rows of 10 photos and 1 row of ______
photos or arrange the photos as ______
rows of 8 photos and 1 row of ______
photos.
Answers
A rectangular horseshoe pit is 53 inches long and 32 inches wide.
What is the area of the horseshoe pit?
Answers
Yesterday, Dustin biked 4 1/2 miles, jogged 2 3/4 miles, and swam 3 1/8 miles. How many miles did he travel while exercising?
Answers
1) Bike.
Distance Covered = [tex]4 \frac{1}{2}=4.5 [/tex] miles
2) Jogging
Distance Covered = [tex]2 \frac{3}{4}=2.75 [/tex] miles
3) Swimming
Distance Covered = [tex]3 \frac{1}{8}=3.125 [/tex] miles
The Total distance covered during the exercise will be the sum of distance covered during each activity.
So,
Total Distance Covered during exercise = 4.5 + 2.75 + 3.125 = 10.375 miles
Thus, Dustin covered 10.375 miles yesterday while exercising.
Your answer would be 10 3/8 miles
A person needs to pay TK. 500 to by pencils and TK. X for any additinal unit of pencil.If the cumstomer pays a total of TK. 4700 for 1200 pencils what is the value of X?
Answers
Answer:
3.50
Step-by-step explanation:
First we take the 500 fee for purchasing pencils off of the total:
4700-500 = 4200
This means we pay 4200 for 1200 pencils; dividing this will tell us the amount per pencil, x:
4200/1200 = 42/12 = 21/6 = 7/2 = 3.5
Thus we pay 3.50 per pencil.
The value of X for any additional pencil is gotten as;
X = 3.5
We are told that base amount for pencils is TK. 500 and amount per pencil is TK. X.
This means formula for total cost for n number of pencils is;
C(n) = 500 + Xn
We are told that a customer pays TK. 4700 for 1200 pencils. Thus;
C(n) = TK. 4700
n = 1200 pencils
Therefore;
4700 = 500 + 1200X
1200X = 4700 - 500
1200X = 4200
X = 4200/1200
X = TK. 3.5 per pencil
Read more at; https://brainly.in/question/26658883
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answers
y= # 5-point questions
QUANTITY EQUATION:
x + y= 24
VALUE EQUATION:
3x + 5y= 100
If we solved these two equations by elimination or substitution, we find x and y. I'm going to solve by elimination.
STEP 1:
multiply the quantity equation by -3 to eliminate the x variable and solve for y.
-3(x + y)= -3(24)
-3x - 3y= -72
STEP 2:
add the value equation and the step 1 equation together to eliminate the x term and solve for y.
3x + 5y= 100
-3x - 3y= -72
the x term is eliminated
2y= 28
divide both sides by 2
y= 14 5-point questions
STEP 3:
substitute the y value into either original equation
x + y= 24
x + 14= 24
subtract both sides by 14
x= 10 3-point questions
ANSWER: The test contains 10 3-point questions and 14 5-point questions.
Hope this helps! :)
A circular plate has circumference 29.5 inches. What is the area of this plate? Use 3.14 for pi.
Answers
C = 2 pi r
In this case, we are provided with C, but not r, so we must make r the subject
29.5 = 2 x 3.14 x r
Divide by 2 x 3.14 to get r by itself
r = 4.69745.... (don't round off yet!)
Now that we found r, let's use the formula for the area of a circle,
A = pi r^2
= 3.14 x (4.69745...)^2
= 69.3 in^2 (1 dp)
Hope this helped!
Final answer:
To find the area of a circular plate with a given circumference, use the formula A = πr², where A is the area and r is the radius. Set up the equation for the circumference of the plate and solve for the radius. Then, plug the radius into the formula for the area. This gives the area as 69.07 inches².
Explanation:
To find the area of a circular plate, we can use the formula A = πr², where A is the area and r is the radius. In this case, the circumference of the plate is given as 29.5 inches. We know that the circumference of a circle is equal to 2πr, so we can set up the equation 29.5 = 2πr to solve for the radius.
Dividing both sides of the equation by 2π, we get r = 29.5 / (2π). Using the value of π as 3.14, we can calculate the radius as r ≈ 4.69 inches. Now we can plug this value into the formula for the area: A = 3.14 × (4.69)². Evaluating this expression gives us the area of the circular plate as A ≈ 69.07 inches².
what is the value of the missing number in the sequence
4,12,36,__,324,972,2916
Answers
4 times 3 =12
12 times 3 =36
36 times 3 =108
etc
How many inches are equal to 10 centimeters? Remember, 2.54 cm = 1 in. Round your answer to the nearest hundredth. Do not include units in your answer.
Answers
Answer:
10 centimeters = 3.94 .Step-by-step explanation:
We are given 2.54 cm = 1 in.
We need to convert 10 centimeters into inches.
We have 2.54 cm = 1 in.
On dividing both sides by 2.54, we get
[tex]\frac{2.54}{2.54}cm = \frac{1}{2.54} in[/tex]
1cm=[tex]\frac{1}{2.54}[/tex] in.
In order to find the number of inches in 10 centimeters, we need to multiply [tex]\frac{1}{2.54}[/tex] by 10.
On multiplying [tex]\frac{1}{2.54}[/tex] by 10, we get
=[tex]10\times \frac{1}{2.54}[/tex]=3.94.
Therefore,
10 centimeters = 3.94.10 centimeters is approximately equal to 3.94 inches when converted using the conversion factor of 1 inch equals 2.54 centimeters.
The student is asking for conversion of a length measurement from centimeters to inches. Given that 1 inch equals 2.54 centimeters, you can convert 10 centimeters to inches by dividing by the conversion factor. Here's the calculation:
Identify the conversion factor: 2.54 centimeters per inch.
Divide the number of centimeters by the conversion factor: 10 cm \/ 2.54 cm/in = approximately 3.94 inches.
Therefore, 10 centimeters is approximately equal to 3.94 inches when rounded to the nearest hundredth.
Anna calculated the area of parallelogram with a base of 72
5
m and a height of 2 m. Her work is shown here.
Answers
hope that helps
Answer:
a , c
Step-by-step explanation:
on edge 2021
What expression is equal to -1/3(2x+15)-3
Answers
([tex] \frac{-2x}{3} [/tex] -5) - 3
Open the parentheses:
[tex] \frac{-2x}{3} [/tex] - 8 is the answer
What is the sample space when a coin is tossed twice?
Answers
Answer:
HH, HT, TT, TH
Step-by-step explanation:
Your welcome.
USA testprep squad waz good
1. Using the formula for the probability of one event or another event, calculate the probability of drawing a card from a standard deck that is either a jack or a club. Write out the formula and show your work. Write the final answer as a fraction in simplified form. (10 points)
Bonus question for extra credit: What is the probability of drawing two cards from a deck, without replacing the first card, and either getting two red cards or two aces? Hint: the probability of getting two aces is the probability of the first card being an ace, times the probability of the second card being a different ace. Show your work, and write your answer as a fraction in reduced form.
Answers
A standard deck has 4 jacks.
A standard deck has 13 clubs.
From this, we can derive the following:
The probability of drawing a jack is 4/52 or 1/13
The probability of drawing a club is 13/52 or 1/4
But since the problem asks for drawing jack or club, therefore we should add the 2 probabilities, making 17/52. This is not the final answer yet. We know that there is a jack of clubs, therefore we need to subtract 1 from the probabilities since jack of clubs were considered in the 2 categories of probability.
With that being said, the probability of drawing a club or a jack is 16/52 or 4/13
Bonus Question:
The first thing you need to do here is find the probability of each scenario. First let's do what is given, the probability of drawing 2 aces. Since there are 4 aces in a deck of 52, we can easily say that the probability of drawing an ace is 4/52. However for our second draw, the probability of drawing a different ace is 3/51. This is so since we already drew a card that is an ace, hence we need to subtract one from the total aces (4-1) and from the total cards in the deck (52-1). In getting the probability of drawing two aces, we need to multiply the said probabilities: 4/52 and 3/51, resulting to 1/221.
For the second scenario, the drawing of 2 red cards, we just use the same concept but in this, we are already considering the 2 red cards in the first scenario, therefore the chance of drawing a red on our first draw is 24/52. For our second, we just need to subtract one card, therefore 23/51. Multiply these two and we will get 46/221.
Now, the problem asks for the chance of drawing either 2 reds or 2 aces, therefore we add the probabilities of the 2 scenarios:
46/222 + 1/221 = 47/221
Summary:
First Scenario:
4/52 + 3/51 = 1/221
Second Scenario:
24/52 + 23/51 = 46/221
Chances of drawing 2 red cards or 2 aces:
1/221 + 46/221 = 47/221
You are given the following list of values: 5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9 Which values are outliers?
Answers
Upper fence- (7.4)+1.5(2.5)= 11.15
Lower fence- (4.9)-1.5(2.5)= -1.15
Make sure your values are in the right order so you can see what numbers are below or above the Upper and lower fences. There are no outliers.
Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1400. What was the rate charged per hour by mechanic if the sum of the two rates was $130 per hour
Answers
x = Rate in $ / hr of the mechanic working 15hr
y = Rate in $ / hr of the mechanic working 5hr
We have the following system of equations:
x + y = 130
15x + 5y = 1400
Solving the system we have:
x = $ 75 / hr
y = $ 55 / hr
Answer:
the rate charged per hour by mechanics was:
x = $ 75 / hr
y = $ 55 / hr
ASAP plzzzz help I need answerssss
Answers
i] AB
speed=distance/time
time taken between AB=0.5 hours
distance=20 km
thus
speed=20/0.5=40 km/h
ii]BC
time taken between BC=1.5 hours
distance=20
speed=20/1.5=13 1/3 km/h
b] Average speed for the entire time will be:
average speed=(total distance)/(total time)
total distance=(20+20+20)=60 km
total time=3 hours
thus
average speed=60/3=20 km/h
c] David's distance 2 hours and 15 minutes from the starting point was:
distance=20+20+10=50 km
The lock on a safe requires a three-digit code to open it. The three digits must each be a number from 0-9 (10 possible numbers). Each number cannot be used more than once in the code. How many codes could there be?
A.1,000
B.720
C.30
D.120
Answers
To solve this, you have to use the Fundamental Counting Principal. You find the total number of options for each of the digits, then multiply them together.
For the first one, there are 10 options, then 9 options and finally 8 options.
10 x 9 x 8 = 720
This problem can be solved through permutation in mathematics. Without repetition, with 10 possible digits (0-9), there are 10 choices for the first digit, 9 for the second, and 8 for the third. The total number of 3-digit codes is 10*9*8 = 720.
Explanation:The subject of this question is combinations in mathematics. To solve it, you have to calculate the number of ways you can arrange 3 digits from 0-9 (10 digits), when each digit can only be used once.
This problem is a type of permutation (an ordering or arrangement of objects), specifically a permutation without repetition. With 10 possible digits (0-9), there are 10 choices you can make for the first digit. After the first digit is chosen, there are 9 digits left for the second place, and 8 digits left for the third place.
Therefore, the total number of possible 3 digit codes is calculated as follows: 10*9*8 = 720. Hence, "option B is the correct answer".
Learn more about Permutations here:
https://brainly.com/question/23283166
#SPJ6
Which figures are familiar?
Answers
What's the answer to this? Also if you could explain that would be great but you don't have to! (I picked that answer by accident :/)
Answers
If you count the combinations only one comes out to exactly art, math, science in that order.
How can i find the missing angle of this shape?
Answers
The sum of all the angles of a hexagon equal 720 degrees. So, you'd add all the known angles together (this gives you 590), then subtract that from 720. Thus getting 130 degrees as a final answer.
I hope this helps!
What is the difference in the sum of the exterior angles measures of a rectangular nonagon and a rectangular dodecagon?
Answers
The sum of the exterior angles of any polygon is 360 degrees, thus the difference between the sums of the exterior angles of a nonagon and a dodecagon is 0 degrees.
The question asks about the difference in the sum of the exterior angle measures of a nonagon and a dodecagon. The key concept here is that for any polygon, the sum of the exterior angles is always 360 degrees, regardless of the number of sides.
Therefore, the sum of the exterior angles of both a nonagon (9-sided polygon) and a dodecagon (12-sided polygon) would be 360 degrees each. Consequently, the difference in their sums would be 0 degrees.
What is the outlier in the following set?
28,31,40,26,38,65,39,35,30
Answers
All the numbers are from 26 - 40 EXCEPT for 65
Hope this helps :)
Write a problem that involves finding the unknown measure of a side of a rectangle include the solution?
Answers
The area of the patio of a relative's house is 20 square meters.
The width of the patio is 2 meters.
What is the length of the patio?
Solution:
The area is:
A = (w) * (l)
Where,
w: width
l: long
Clearing l we have:
l = A / w
Substituting values:
l = 20/2
l = 10 meters
The hypotenuse of a right triangle is 12, and one of the legs is 4. Find the length of the missing length to the nearest hundred. Please help! ☺️ 25 points!
Answers
If c is the hypotenuse of right triangle and a and b are of the legs then:
a² + b² = c².
We have:
a = 4; c= 12
substitute
[tex]4^2+b^2=12^2\\\\16+b^2=144\ \ \ |-16\\\\b^2=128\to b=\sqrt{128}\\\\b=\sqrt{64\cdot2}\\\\b=\sqrt{64}\cdot\sqrt2\\\\\boxed{b=8\sqrt2\approx11.31}[/tex]
Giving 10 points! Please help!
Which of the following expresses 12 + 42 by using the GCF of the two numbers? (3 points)
A. 3(9 + 14)
B. 3(4 + 38)
C. 6(2 + 7)
D. 6(6 + 36)
Answers
[tex]12 + 42 = 6(2 + 7)[/tex]
Answer is C. 6(2 + 7)
Hope this helps. - M
At a ballroom dancing lesson there were twenty-three students. Deena danced with six boys, Chloe with seven, Moira with eight and so on for all the girls up to the last girl, Anna, who danced with all the boys. How many boys were at the lesson?
Answers
First girl, Deena danced with 6 boys.
Second girl, Chloe danced with 7 boys.
Third girl, Moira danced with 8 boys.
And so last girl, Anna danced with all boys, given is an arithmetic series as 6, 7, 8, ........, a+(n-1)d.
Let's assume number of girls are 'n'.
Last term of a.p. series would be number of boys = a+(n-1)d.
Here a=6 and d=1, so number of boys = 6+(n-1)*1 = 5+n.
Given there were 23 students.
So total students = number of girls + number of boys
23 = n + (5+n)
23 = 2n + 5
2n = 23-5 = 18
n = 9.
Hence, there were 9 girls and 14 boys.
Niona needs $50 to go on a school trip. She sells necklaces for $15 each and bracelets for $5 each. If she raises the money by selling half as many necklaces as bracelets, how many necklaces and bracelets does she sell? Write a system of linear equations that represent this problem.
Answers
To solve the problem, create a system of linear equations representing the sale of necklaces and bracelets. The two equations will be 15n + 5b = 50 and n = 0.5b, which describe the total funds raised and the relationship between the number of necklaces and bracelets sold.
Explanation:Niona is trying to raise $50 for her school trip by selling necklaces and bracelets. We need to establish a system of linear equations to represent the problem. Let's define n as the number of necklaces and b as the number of bracelets. According to the problem, Niona sells necklaces for $15 each and bracelets for $5 each, and she sells half as many necklaces as bracelets.
Therefore, we can write the first equation based on the total amount of money raised:
15n + 5b = 50
And the second equation based on the relationship between the number of necklaces and bracelets:
n = 0.5b
Solving this system will give us the number of necklaces and bracelets Niona needs to sell to raise $50 for her trip.
The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:
Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13
Which of these is most likely the next step?
3x = 16
3x = 10
3x = 39
3x = 3
Answers
The next step will be to add 3 to both sides:
3x - 3 + 3 = 13 + 3
⇒ 3x = 16
Answer: 3x = 16