Answer:
111 / 190
Step-by-step explanation:
Let us first compute the probability of picking 2 of each sweet. Take liquorice as the first example. There are 12 / 20 liquorice now, but after picking 1 there will be 11 / 19 left. Thus the probability of getting two liquorice is demonstrated below;
[tex]12 / 20 * 11 / 19 = \frac{33}{95},\\Probability of Drawing 2 Liquorice = \frac{33}{95}[/tex]
Apply this same concept to each of the other sweets;
[tex]5 / 20 * 4 / 19 = \frac{1}{19},\\Probability of Drawing 2 Mint Sweets = 1 / 19\\\\3 / 20 * 2 / 19 = \frac{3}{190},\\Probability of Drawing 2 Humbugs = 3 / 190[/tex]
Now add these probabilities together to work out the probability of drawing 2 of the same sweets, and subtract this from 1 to get the probability of not drawing 2 of the same sweets;
[tex]33 / 95 + 1 / 19 + 3 / 190 = \frac{79}{190},\\1 - \frac{79}{190} = \frac{111}{190}\\\\[/tex]
The probability that the two sweets will not be the same type of sweet =
111 / 190
What fraction is greater 6/8 or 3/2
Answer:
3/2
Step-by-step explanation:
3/2 is greater than 1. 6/8 is less than one.
help me pls if you the question
Answer:
[tex]90= 2 \times 3^2 \times 5[/tex]
Step-by-step explanation:
[tex]90= 2 \times 3 \times 3 \times 5[/tex]
[tex]90= 2 \times 3^2 \times 5[/tex]
Answer:
2,3,5
What does prime number mean?
=> A prime number is a number which can be written only as a product of 1 and itself.
Please see the attached picture
Hope it helps..
Good luck on your assignment..
what is the length of a 135 arc
Answer:
3 km
Step-by-step explanation:
Arc length formula: s = rФ, where Ф is the central angle in radians.
Here the arc length is s = (4 km)(135π/180) = 3 km
Isabella changes 700 euros to pounds sterling for her trip to England. The exchange rate is 1 euro = £0.72 How many pounds will she get?
Answer:
700/1=700
Th ratio is 700 times more so we multiply by 700
700 x 0.72 = 504
504 pounds
Hope this helps
Step-by-step explanation:
She will get 504 pounds by multiplying 700×0.72= 504.
What is the benefit of changing currency?Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.
Can you change the currency at the bank?
Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).
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need help ASAP!!!
Find the sum of each infinite geometric series, if it exists
The first series diverges because each successive term is getting multiplied by -3, so the common ratio is larger than 1 in magnitude.
Assuming the second series is
3 - 3/2 + 3/4 - 3/8 + ...
then it converges because the common ratio between terms is -1/2, which is less than 1 in magnitude.
To find the value of the sum, let S denote the n-th partial sum, i.e. the sum of the first n terms in the series:
S = 3 - 3/2 + 3/4 - 3/8 + ... + 3(-1/2)^(n - 2) + 3(-1/2)^(n - 1)
Multiply both sides by -1/2:
(-1/2) S = -3/2 + 3/4 - 3/8 + 3/16 - ... + 3(-1/2)^(n - 1) + 3(-1/2)^n
When we subtract S and (-1/2) S, we see all the middle terms canceling, and we can solve for S:
S - (-1/2) S = 3 - 3(-1/2)^n
S/2 = 3[1 - (-1/2)^n]
S = 6[1 - (-1/2)^n]
As n gets larger, the (-1/2)^n term will converge to 0, leaving us with
lim (n -> infinity) S = 6
so that the series converges to 6.
There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 people use the gym and the pool. 29 people use the pool and the track. 25 people use the gym and the track. 11 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility
To find : Probability that person doesn't use any facility
Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11
So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130
P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130
Prob [ Person uses either P or G or T ] :
P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130
Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130
Hence, Probability that person doesn't use any facility = 35 / 130
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Answer:flying gorillla
Step-by-step explanation:because no
Can i have some help please?
5(2x + 1) + 50
Answer:
4.5
Step-by-step explanation:
5(2x+1)=50
5(2x)+5(1)=50
10x+5=50
10x=45
x=4.5
Hope this helps!
Answer:
4.5
Step-by-step explanation:
To solve, expand first
5(2x+1) = 5 x 2x + 5 x 1 = 10x + 5
Now, we have
10x+5 = 50
Rearrange:
10x+5 = 50
10x = 45
x = 4.5
Hope this helps,
Good Luck
A package of construction paper has 6 sheets of red paper, 14 sheets of blue pape
and 10 sheets of yellow paper. If Dexter bought enough packages of construction
paper to have 50 sheets of yellow paper, how many sheets of red paper does he
have?
Answer:
50/10=5 so the ratio is 5 times more
there was 6 sheets of red paper and there is 5 times more so 5 x 6 = 30 red sheets
30 red sheets
Hope this helps
Step-by-step explanation:
Answer:
30 sheets of red paper
Step-by-step explanation:
Using proportion,
If 10 sheets of yellow paper = 6 sheets of red paper
then 50 sheets of yellow paper = ? sheets of red paper
[tex]\frac{50 sheets of yellow paper}{10sheets of yellow paper} * 6 sheets of red paper[/tex]
= 5 * 6 sheets of red paper
= 30 sheets of red paper
Solve the system by substitution.
у = x
-2x + 4y = 16
Answer:
Step-by-step explanation:
y = x
-2x + 4y = 16
-2x + 4x = 16
2x = 16
x = 8
y = 8
(8,8)
Answer:
Since y=x, then both variables must be the same.
-2x + 4y= 16
You have to have 16 on both sides
-2(8) + 4(8)=16
-16 + 32= 16
16=16
Step-by-step explanation:
En la tienda tienen estas ofertas : 1/4 kg de chorizo : 9,25 €. 1/2 kg de queso : 8,50€.¿Cuánto vale 1 kg de cada producto?¿Cuánto cuesta un queso de 2kg?
Answer: 1. €37 and €17
2. €34
Step-by-step explanation:
Given Data:
Cost of 1/4kg of chorizo = €9.25
Cost of 1/2kg of cheese = €8.50
Therefore:
1. Cost of 1kg of each product.
If 1/4 kg or chorizo cost €9.25,
1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1
1kg = 1/4 + 1/4 + 1/4 + 1/4
Or
1kg = 4 * €9.25
1kg = €37
Cost of 1kg of chorizo is €37
Cost of 1kg of cheese
If 1/2kg = €8.50
Then; 1kg = 1/2 + 1/2
1kg = €8.50 + €8.50
1kg = €17
Cost of 1kg of cheese = €17
2. Cost of 2kg of cheese.
If 1kg of cheese cost €17
2kg = 2 * €17
2kg = €34
Cost of 2kg of cheese is €34
Kelly bought a computer that was 20% off the regular price of $1,060. If a 7% sales tax was added to the cost of the computer, what was the total price Kelly paid for it?
Answer: $ 1361.04
Step-by-step explanation:
Discount will be 1060 * 20% = 212
Sales price 1060 + 212 = 1272
Tax 7% = 89.04
Kelly paid 1272 + 89.04 = 1361.04
Simplify: (-4y3 + y2 - y - 3) - (-2y3 - 3y + 3)
Answer:
-2y^3+y^2+2y-6
Step-by-step explanation:
(-4y^3 + y^2 - y - 3) - (-2y^3 - 3y + 3)
Distribute the minus sign
(-4y^3 + y^2 - y - 3) +2y^3 + 3y - 3
Combine like terms
-4y^3 +2y^3 +y^2 -y+3y -3-3
-2y^3+y^2+2y-6
Which rule represents the translation from the pre image, rhombus ABCD, to the image rhombus A'B'C'D' ?
Answer:
Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.
In the diagram below, the measure of angle 3 is 140, what is the measure of angle 5 ?
I need help with question number 2.
Help me please !
Answer:
2
Step-by-step explanation:
Angles 3 and 5 are alternate interior angles because they are inside the lines and are on opposite sides of the transversal.
This means they are equal to one another, so 2 is correct because they are alternate interior and angle 5 will be 140 degrees.
Which statement below is the correct definition for denoting similar objects?
A. Similar objects have congruent angles and congruent sides
B. Similar objects have proportional angles and congruent sides
C. Similar objects have congruent angles and proportional sides.
D. Similar objects have proportional angles and proportional sides
Answer:
C. Similar objects have congruent angles and proportional sides.
Step-by-step explanation:
I took the test.
The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.
It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.
It should be noted that they don't have objects have congruent angles and congruent sides.
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please help!! any help is appreciated
Answer:
10 ounces
Step-by-step explanation:
Convert the original container into ounces. (1 quart=32 ounces)
5 x 32 = 160 ounces
Then the milk is divided into two containers.
160 / 2 = 80
Each container is then divided into 8 glasses.
80 / 8 = 10
Each glass has 10 ounces of milk in it.
Language is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading. a. true b. false
Answer: False, language is a more specific word.
Step-by-step explanation:
Language is a complex and structured system of communication.
This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.
The thing in the sentence is more general than language, this refers to communication:
"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."
So the actual sentence is false.
Vertical angles are always adjacent.
True False
Answer:
False
Step-by-step explanation:
Vertical angles are opposite to each other, so they are not adjacent.
Write the recurring decimal 0.473737373... as a fraction.
Answer:
[tex]\frac{469}{990}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits after the decimal point.
By subtracting the 2 equations eliminates the repeating digits.
let x = 0.47373737.....
Multiply both sides by 100 and 10000, that is
100x = 47.3737... → (1)
10000x = 4737.3737.... → (2)
Subtract (1) from (2)
9900x = 4690 ( divide both sides by 9900 )
x = [tex]\frac{4690}{9900}[/tex] = [tex]\frac{460}{990}[/tex] ← in simplest form
13. How much voltage would be necessary to generate 20 amps of current in a circuit that has 5.5
ohms of resistance?
V=
I=
R=
Answer:
The voltage is 110 V
Step-by-step explanation:
Given;
current in the circuit, I = 20 A
resistance in the circuit, R = 5.5 Ω
voltage in the circuit, V = ?
Voltage is given as = current x resistance
V = IR
V = 20 x 5.5
V = 110 V
Therefore, the voltage necessary to generate 20 amps of current in a circuit that has 5.5 ohms of resistance is 110 volts.
Five students were running for class president. Ben received 20 more votes than Jack and 40 less than Anna. Elaina received 20 votes less than Parth, who received more votes than Anna, and 50 votes more than Jack. Which list correctly shows the results from the most to the least votes?
A. Parth, Anna, Elaina, Ben, Jack
B. Parth, Anna, Ben, Elaina, Jack
C. Anna, Parth, Ben, Elaina, Jack
D. Anna, Parth, Elaina, Ben, Jack
Answer:
A. Parth > Anna > Elaina > Ben >Jack
Step-by-step explanation:
Oooh man, these questions are evil.
Jack<Ben<Anna
Elaina<Parth
Parth : 50 more votes than Jack. 30 more than Ben (50-20). More than Anna.
Parth > Anna > Elaina > Ben >Jack
brainliest would be epic
what is -5(3m+4)= Please help
Answer:
-15m-20
Step-by-step explanation:
-5(3m+4)
you have to multiply -5 by 3m and 4
-5x3m=-15m and -5x4 would be -20
so it would be -15m-20
The histogram shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair project. A) Skewed Right B) Cannot be determined C) Skewed Left D) Symmetrical
Answer:
C) Skewed Left
Step-by-step explanation:
From the above histogram given, it can observed visually that fewer students spent less hours in Mr. Quentin's class engaging in the online research for the project, while majority of the students spent more hours.
Thus, the histogram is skewed to the left, having a non symmetric shape with a lopsided mound which is bigger on the left of the histogram and smaller to the right of the histogram, as we have few students who spent less hours compared to the vast majority that spent more hours on the research.
Answer:
the answer is C skewed left
Step-by-step explanation:
Can someone plz help me solved this problem! Need help ASAP! Help me !
Answer: 5, 8
Step-by-step explanation:
The difference between 3 times a number and -8 is BETWEEN 23 and 32
Note: "difference" means subtraction --> 3x - (-8) --> 3x + 8
23 < 3x + 8 < 32
15 < 3x < 24 subtracted 8 from all 3 sides
--> 5 < x < 8 divided 3 from all 3 sides
All else being equal, a study with which of the following error ranges would be
the most reliable?
A. +-6 percentage points
B. +-15 percentage points
C. +-9 percentage points
D.+- 112 percentage points
The study with an error range of +-6 percentage points would be the most reliable.
As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.
So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.
Thus, with an error range of +-6 percentage points, has the smallest range.
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A panda weighed 8 pounds and gains 12 pounds every month. What is the vertical intercept (y-intercept) and what does it mean in the context of the situation?Immersive Reader
Answer:
y=8x+12
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE YOU 15 POINTS.
1. Find the simple interest you will obtain if you deposit $600 in bank for 9 months at 4 %per annum.
2. A man walks at a rate of 1.25 / . Find the time he takes to walk 3.75 km.
Answer:
(1) The formula to calculate simple interest (SI), with principal = 600$, annual rate = 4% = 0.04, and time = 9 months is:
SI = principal x rate x time
= 600 x (0.04/12) x 9
= 18$
(2) The formula to calculate the time that man walked 3.75 km, with rate of 1.25:
Time = Distance/Rate
= 3.75/1.25
= 3
Hope this helps!
Factor the expression X^4+6X^2 – 7 completely.
Answer: (x - 1)(x + 1)(x + 7)²
Step-by-step explanation:
x⁴ + 6x² - 7
find two numbers whose product is -7 and sum is +6 --> -1 & 7
Those values go into the parenthesis: (x² - 1)(x + 7)²
Notice that (x² - 1) is the difference of squares --> (x - 1)(x + 1)
At a school carnival, the diameter of the mat of a trampoline is 12 feet and the diameter of its metal frame is 14 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth. A.) 37.7 feet B.) 44.0 feet C.) 75.4 feet D.) 87.9 feet
Answer:
B
Step-by-step explanation:
circumference can be found using formula 2 x pi x radius
radius of the entire trampoline = 7 ft
2 x 3.14 x 7 = 14 x 3.14 = 43.96
Rounded = 44.0 ft = B
Answer:
B
Step-by-step explanation:
The length around a circle, or the circumference, can be found with the formula [tex]\pi d[/tex], where d is the diameter. Therefore, the length of the frame is [tex]\pi \cdot 14\approx 44[/tex]. Hope this helps!
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answer:
a
Step-by-step explanation:
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answer:
B
Step-by-step explanation: