The probability of getting blue and white counter is 0.2275
Probability is the likelihood or chance that an event will occur
Probability = n(E)/n(S)
n(E) is the number of eventsn(S) is the sample spaceIf the the probability of getting a red counter red red 0.35, the probability of getting a blue will be 0.65
Pr(getting blue and white counter) = 0.35 * 0.65
Pr(getting blue and white counter) = 0.2275
Hence the probability of getting blue and white counter is 0.2275
Learn more on probability here: https://brainly.com/question/24756209
3. Find the area of the trapezoid.
8 ft
4V3
10 ft
Answer:
[tex]32\sqrt3[/tex]
Step-by-step explanation:
We need first to find the measure of the red horizontal line, call it x. The triangle i filled is a right triangle, so we can apply pythagoras theorem,
[tex]8^2 = x^2+(4\sqrt3)^2 \rightarrow 64=x^2+(16\times3) \\x^2=64-48 \rightarrow x^2=16 \rightarrow x=4[/tex]
(we are talking lengths of segment so we take only the positive root!)
At this point we can find the length of the smaller base of the trapezoid (which is [tex]10-4=6[/tex]) and apply the formula, or split the figure in a rectangle of sides 6 and [tex]4\sqrt3[/tex] and a triangle of sides [tex]4\sqrt3[/tex] and 4.
With the trapezoid formula
[tex]A=\frac12(B+b)h = \frac12(10+6)4\sqrt3 = 32\sqrt3[/tex]
With the sum of figures:
[tex]A= bh+\frac12 xh=6\times4\sqrt3 +\frac12\times4\times4\sqrt3=24\sqrt3+8\sqrt3=32\sqrt3[/tex]
HELPPP!! DUE NOWWWW!
Lucy recently joined a fitness club, she had to pay an initial fee to join. Lucy will also pay an extra fee per class she takes there. The equation below represents the relationship.
f(x)=20+3x
Identify the false statement
A. Lucy paid $3 per class.
B. f(x) represents the total amount Lucy paid.
C. x represents the cost of classes.
D. The initial fee was $20
Answer: C
Step-by-step explanation: x represents the number of classes, not the cost of classes.
Solve. 6 Everyone at a park was either hiking or riding a bike. There were 24 more hikers than bike riders. If there were a total of 100 people at the park, how many were hiking?
b r = 178 + h;
b r + h = 676;
then, 178 + 2h = 676 => h = 498/2 = 249 => b r = 178 + 249 = 427
Answer:
676
Step-by-step explanation:
h=b+178=427
b=b=249
-------------
(b+178)+b=676
2b+178=676
2b=498
b=249
-------------
249+427=676
Kaneppeleqw and 2 more u
According to the telegram which of the following description of the data are true
Answer:ITS THE SECOND ONE
Step-by-step
1038*472 please help
Answer:
443,226
Step-by-step explanation:
-6x+6y=9 (1/2,2) please helppppp
Answer:
A. Solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Step-by-step explanation:
*Note:
A coordinate is a solution if both the left side and right side of the equation is equal.
Step 1: Define
Identify.
-6x + 6y = 9
(1/2, 2)
Step 2: Verify
Substitute in variables [Equation]: -6(1/2) + 6(2) = 9[Order of Operations] Evaluate: 9 = 9Since 9 does indeed equal 9, the coordinate (1/2, 2) is a solution.
Help help math math
Answer:
5/1
Step-by-step explanation:
the y is 5units and the x is 1unit
Answer:
7/4
Step-by-step explanation:
Use rise over run to solve
4-(-3) 7
-------- = -
6-2 4
Find the least common denominator for these fractions. Enter your answer in
the space provided.
Answer:
10
Step-by-step explanation:
"Least" means smallest.
"Common" means same.
"Denominator " means the bottom number in a fraction.
Something/2 can be changed to something/10
AND something/5 can also be changed to
something/10
1/2 >>>> 5/10
3/5 >>>> 6/10
10 is the least common denominator.
give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.
Helpppo for an exammmm
Answer:
AAS
Step-by-step explanation:
Helpppppppp me …………………..
Answer:
first let's solve for x
x + (x + 30) + 2x = 180
4x + 30 = 180
-30 -30
4x = 150
/4 /4
x = 37.5
Now solve for the angle measures:
(x + 30) = (37.5 + 30) = 67.5
2x = 2(37.5) = 75
x = 37.5
Answer:
X= 37.5
Step-by-step explanation:
HELP ME!! (I WILL GIVE BRAINLIEST!)
Answer:
|-5| absolute be always + so 5
Answer:
[tex]5[/tex]
Step-by-step explanation:
Step 1: Determine what absolute value does
Taking the absolute value of a number just returns how far a specific value is from 0. So in this case we see a number -9 and although it's negative it's still 9 away from 0 therefore that would be the absolute value.
We are missing the absolute value of -5 or 5 so we know that taking the absolute value would just give us the distance from 0. In this case that would just be 5.
Answer: [tex]5[/tex]
Select the correct answer from each drop-down menu.
what is 1 plus 1
GEOMETRY MULTIPLE CHOICE
Answer:
E seems to be the only one that is true
Step-by-step explanation:
its just asking you basically which ones are true based on the info they already give you
9. The length of a rectangle is 3 cm longer than twice the width. If the area of the rectangle is 65 cm2,
find its length and the width.
Answer:
length: 13 cm
width: 5 cm
Step-by-step explanation:
You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:
5 cm wide; 13 cm long
__
If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...
A = LW
65 = (2w+3)(w)
In standard form, this equation is ...
2w^2 +3w -65 = 0
To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...
-130 = (-10)(13)
Then the factored equation is ...
2w^2 +13w -10w -65 = 0
w(2w+13) -5(2w+13) = 0
(w -5)(2w +13) = 0 ⇒ w = 5, -13/2
The positive solution makes sense in this problem, so ...
width = 5 cm
length = 2(5) +3 = 13 cm
Find the perimeter of the figure. Use 3.14 for 7 and round to at least 1 decimal place.
Answer:
the perimeter of the figure is 27.4 mi
Step-by-step explanation:
rectangle perimeter = 6+6+6 = 18
half circle perimeter = 1/2 2πr = 3.14 × 3 = 9.42
the perimeter of the figure is 18+9.42 = 27.42 --> 27.4 mi
Help me please I don’t know what to don
heeeeeeeeeeeeeeeeeeeelp me plssssssssssss
Answer:
Yep linear functions look like diagonal lines. Vertical lines have a slope of 0 whilst horizontal lines aren’t even defined. Diagonal and horizontal don’t work since horizontal aren’t defined so if one doesn’t work then it won’t work.
So (a) is the answer
Diagonal lines are linear functions
Answer:
Diagonal lines........
The area of each square tile is square feet and the area of each triangular tile is square foot.
We will pour sand into each frame to a depth of foot.
image placeholder
ft
Complete the sentence with the amount of sand we will need for each tile.
We will need
ft of sand for each square tile, and
ft of sand for each triangular tile.
Answer
hi
Step-by-step explanation:
ok
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26000 kilograms. Other shipments weighing 13200 kilograms have already been loaded into the container. What is the greatest number of 60-kilogram crates that can be loaded into the shipping container?
Answer:
213 crates
Step-by-step explanation:
There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.
The diagram shows the distance between my home, H. and two towns, A and B.
It also shows information about journey times.
What is the average speed of the journey from my home to town A?
I do not know English :33333
Solve for x.
8x - 5 = 6x + 8x + 10
Therefore, we found that x = -5/2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Can someone help me? Will mark brainiest :)
6. Rachael is married with 2 dependents. Her salary as a dental hygienist is $47,650 paid
in 26 pay periods. Find the state tax withheld per pay period.
Answer:1.2389 million US$
Step-by-step explanation:
solve: s=4 + square rooted s+5
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
[tex]I(-2,0) \to\\ I \ ' \ (-0.5,0)\\\\J(3,2) \to\\ J \ ' \ (0.75,0.5)\\\\K(1,-1) \to\\ K \ ' \ (0.25,-0.25)\\\\[/tex]
==================================================
Explanation:
For each point, multiply each x,y coordinate by 0.25 (the scale factor) to dilate the preimage to the image. This will shrink the image because the positive scale factor is less than 1.
So for instance, point J(3,2) will have this scratch work
3*(0.25) = 0.752*(0.25) = 0.5meaning J(3,2) moves to J ' (0.75, 0.5)
----------
Side notes:
0.25 = 1/40.5 = 2/4 = 1/20.75 = 3/4this trick only works if the center of dilation is the originAntonio wants to examine the sales in a restaurant during a period of time from 2 hours before to 2 hours after the peak dinner time and graph his results. If the peak dinner time is considered to be at 6 p.m., what would be the domain for the graph Antonio is creating?
Using function concepts, it is found that the domain of the graph Antonio is creating would be: [tex]4 \leq x \leq 8[/tex]
The domain of a function is the set that contains all possible input values.In this problem, the inputs are the time, between 2 hours before and 2 hours after the peak time of 6 pm, hence, it is given by: [tex]4 \leq x \leq 8[/tex]
For more on the domain of functions, you can check https://brainly.com/question/24374080
Manny borrowed $800 at 10% annual interest. How much interest did he owe in one year?
Answer:
80
Step-by-step explanation:
If sinA=1/7, sinB=1/3.
Prove: cos2A=sin4A
Answer:
Question!! What is the relationship between A and B?
Step-by-step explanation:
The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.4 times every eight hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open.
(a) Explain why the Poisson probability distribution would be a good choice for the random variable r.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.
What is ? (Round your answer to three decimal places.)
(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Round your answer to four decimal places.)
(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Round your answer to four decimal places.)
(d) What is the probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security? (Round your answer to four decimal places.)
Using the Poisson distribution, it is found that:
a) Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.b) 0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.c) 0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.d) 0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.Item a:
In this problem, we are given the mean during an interval, which is a common event(1.4 every 8 hours), and intervals can be assumed to be independent, hence, the correct option is:
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.Item b:
Mean of 1.4 every 8 hours, hence, every 11 hours, the mean is:
[tex]\mu = 11 \times \frac{1.4}{8} = 1.925[/tex]
The probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1459 = 0.8541[/tex]
0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.
Item c:
The probability is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
[tex]P(X = 1) = \frac{e^{-1.925}(1.925)^{1}}{(1)!} = 0.2808[/tex]
[tex]P(X = 2) = \frac{e^{-1.925}(1.925)^{2}}{(2)!} = 0.2703[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1459 + 0.2808 + 0.2703 = 0.697[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.697 = 0.303[/tex]
0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.
Item d:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.
To learn more about the Poisson distribution, you can take a look at https://brainly.com/question/13971530