The probability of Ryan choosing a flavor that he does not like is 3/10.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.So, the formula for probability:
P = favourable events/Total eventsFavorable events: (Picking flavor that Ryan does not like) = 10 + 8Total events: (sum of all the jelly) = 60Now, insert the values in the probability formula as follows:
P = favourable events/Total eventsP = 18/60 ⇒ 9/30 ⇒ 3/10Therefore, the probability of Ryan choosing a flavor that he does not like is 3/10.
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Find the equation of a line parallel to 2x-2y=-4 that passes through the
point (3,9).
The line which is parallel to 2x-2y=-4 that passes through the
point (3,9) is x-y = -6.
Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.
Let's proceed to find the equation of the line.
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
Using the slope-intercept formula, the equation of the line is:
y = mx + b
where,
m = the slope of the line
b = y-intercept of the line
(x, y) represent every point on the line
x and y have to be kept as the variables while applying the above formula.
2x-2y = -4
-2y = -4-2x
y = -4/-2 - 2x/-2
y = 2+x
y = x+2
On comparing with y = mx+b
m = 1 and b = 2
As the lines are parallel then the slope of other line will also be same i.e., m = 1
The point from which it is passes is (3,9)
⇒ x₁ = 3 and y₁ = 9
y-y₁ = m(x-x₁)
⇒ y-9 = 1(x-3)
⇒ y-9 = x-3
⇒ y = x-3+9
⇒ y = x+6
⇒ x-y = -6
Therefore, the line which is parallel to 2x-2y=-4 that passes through the
point (3,9) is x-y = -6.
Hence, x-y = -6 is the required answer.
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4va olleckpoiniDiscrete Mathematics OL v1 A - Koscianski, Megan / Chapter 2: Set TheoryRD 2. Use the accompanying Venn diagram that shows the number of elements in regions I through IV to answer the question.10MHow many elements belong to neither set A nor set B?BU Font FamilyAAIFEEOOOE•"'NE
The elements that are neither in set A nor set B are: {10}
Answer: 10
2(3/4L-1) + 2(18) = 2L + 2(12)
2(3/4L-1) + 2(18) = 2L + 2(12)
Distribute
3/2 L -2 +36 = 2L +24
Subtract 3/2 L from each side
-3/2 L-3/2L
-2+36 = 4/2L-3/2L +24
34 = 1/2L +24
Subtract 24 from each side
34-24 = 1/2 L +24-24
10 = 1/2L
Multiply each side by 2
10*2 =1/2L * 2
20 = L
write 1062 correct to the nearest thousand
Answer:
1062 would be 1000 because if you are rounding anything less than 5 is 0 and everything behind it is 0
Please help! 8th grade pre-algebra math question
Answer:
a) 16
Step-by-step explanation:
[tex]x^{2} =(-4)^{2} =(-4)(-4)=16[/tex]
Hope this helps
Write the slope intercept form for the points through (-4,-5) and (0,2)
Answer:
y = (7/4)x + 2
Step-by-step explanation:
(-4, -5) and (0, 2)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 2 - (-5) 2 + 5 7
m = ------------- = ------------- = ------------- = --------
x₂ - x₁ 0 - (-4) 0 + 4 4
(it doesn't matter which points you put)
y - y₁ = m(x - x₁)
y - 2 = (7/4)(x - 0)
y - 2 = (7/4)x - 0
+2 +2
----------------------------
y = (7/4)x + 2
I hope this helps!
I need help on this one:)
iven: ²
equired:
xplanation:
Since the graph is translated vertically downwards by 3 units, so the function f(x) is
[tex]\begin{gathered} f(x)=h(x)-3 \\ f(x)=3x^2-6-3 \end{gathered}[/tex]Hence, the function is
[tex]f(x)=3x^2-9[/tex]inal Answer
[tex]f(x)=3x^2-9[/tex]Please help I’ll mark you as brainliest if correct!!
Set A ={q, g, c, z, b}
What is a Venn diagram?
A Venn diagram is a popular diagram type for displaying the logical relationship between sets. Venn diagrams display all potential relationships between the sets by having all of the curves overlap in every way.Simple closed curves depicted on a plane are used in Venn diagrams to illustrate sets. These curves resemble circles or ellipses quite frequently.What is a roaster form?
Roster notation is a straightforward way to represent a set in mathematical form. Within the curly brackets of the roster form, the components of a set are listed in a row. If the set has more than one element, a comma is used to denote the separation of every pair of elements in a roster notation. Because the enumeration is done one by one, the roster form is also known as an enumeration notation.For example : A ={q, g, c, z, b}To learn more about Venn diagrams, refer:
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Which correctly shows the title of a movie?
"In an Old House"
In an Old House
Answer:
The answer to your question is A "In an Old House" I hope this helps
Sorry if I am wrong
Answer: It would be "In an Old House"
Step-by-step explanation:
Suppose the heights of adult American males are normally distributed with a mean of 66.9 inches and a standard deviation of 4.33. What would be the upper boundary, in inches, of a symmetric, centered interval that contained all the sample averages (from samples of size 167) that are within 0.92 standard deviation units of the mean? Round to the nearest hundredth.
Using the normal distribution, the upper boundary, in inches, of a symmetric and centered interval of the sample averages with n = 167 that are within 0.92 standard deviation s of the mean is of:
67.21 inches.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Considering samples of 167, with the mean and standard deviation of the population given in the problem, the parameters are given as follows:
[tex]\mu = 66.9, \sigma = 4.33, n = 167, s = \frac{4.33}{\sqrt{167}} = 0.335[/tex]
The desired height is X when Z = 0.92, because it is 0.92 standard deviations from the mean and we want the upper limit, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
0.92 = (X - 66.9)/0.335
X - 66.9 = 0.92 x 0.335
X = 67.21 inches.
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Which of the following quantities are directly proportional? (Answer if they are directly proportional or not) PLS HELP ASAP
A) distance and time traveled if speed is a constant 77 mph
B) speed and time if the distance traveled is 110 miles
C) the price per item and the number of items bought if the amount of money spent is constant
The only quantities that will be directly proportional are; A) distance and time traveled if speed is a constant 77 mph
Which Quantities are Directly Proportional?
Direct proportionality means the change of a similar kind.
For example, as pressure increases, density also increases, which means both the parameters (pressure and density) are experiencing a similar kind of change i.e. increment in their magnitude.
Looking at the given options;
A) Distance and time traveled if speed is a constant 77 mph.
Now, formula for speed is;
Speed = Distance/Time
Thus, if speed is constant, then it means that distance varies directly with the time because as distance increases, then time also increases.
B) We are told that the distance traveled is 110 miles.
Distance = Speed * time.
Thus, speed and time vary indirectly with the time because as one increases, the other decreases
C) Since the amount of money spent is constant, then it means that;
Amount spent = Price per item * number of items
The price per item and the number of items bought will vary indirectly
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The difference of three times a number and eight is two more than the number.
Answer:
The number is 5.
Step-by-step explanation:
Let x be the number.
[tex]3x - 8 = x + 2[/tex]
[tex]2x = 10[/tex]
[tex]x = 5[/tex]
Are these right? Geometry by the way
Answer:
ABM is 60; DBC is 60; CBM is 120; HGF is 120; EFM is 120
Step-by-step explanation:
Solve for x.
4(3x - 5) = 6x-2
Answer:
x = 3
Pls, choose me as brainliest!
PLEASE HELP MEEEEEEEEEE
18 Answer:
Write the verbal phrase as an algebraic expression. Use x for the
variable in your expression: Sum of 8 and a number
19 Answer:
Write the verbal phrase as an algebraic expression. Use x for the
variable in your expression: Ten less than a number
20 Answer:
Write the verbal sentence as an equation or an inequality:
The sum of three and x is ten.
21 Answer:
Write the verbal sentence as an equation or an inequality:
Four is greater than six times a number t.
22 Answer:
Write an equation or inequality to model the situation:
The distance d to school is 1 1/2 miles more than the distance p to
the park.
23 Answer:
Write an equation or inequality to model the situation:
The perimeter of a square with a side length s is greater than or equal
to seventy plus five.
Answer:
Yquandary dinglegrt
Step-by-step explanation:
go and minijrir
18) x+8 or 8+x
19) x-10
20) x+3=10
22)4>6t or 6t<4
23)4s[tex]\geq[/tex]70+5
hi i have a question
Given the sample table below:
Total number of teenagers that get less than 8 hours of sleep each school night
Sample #1:
The number of teenagers that get less than 8 hours of sleep each night include the sum of teenagers that get less than 4 hours, teenagers that get between 4 and 6 hours, teenagers that get between 6 and 8 hours.
Thus, we have
[tex]2+9+39=50\text{ t}eenagers[/tex]Sample #2:
Thus, we have
[tex]1+12+34=47\text{ te}enagers[/tex]Percentage of teenagers that get between 4 and 10 hours of sleep each school night
ample #1:
The total number of teenagers that get between 4 and 10 hours of sleep is evaluated to be
[tex]9+39+44=92\text{ te}enagers[/tex]Thus, the percentage becomes
[tex]\frac{92}{100}\times100\text{ = 90\%}[/tex]Sample #2:
[tex]12+34+48=94\text{ te}enagers[/tex][tex]\frac{94}{100}\times100=94\text{ \%}[/tex]Hence, based on the result of the survey,
About half of the teenagers get less than 8 hours of sleep each school night,
More than 90% of teenagers get between 4 and 10 hours of sleep each school night.
Which equation represents the graphed function?
a. y=-3x + 3
b. y = 3x3
c. y = 3x -
d.y=-x+3
(-1, 2), slope = 2 slope intercept form
Answer:
Slope-intercept form is given as y = mx + c where m is the slope and c is the y-intercept.
Since slope = 2, equation is y = 2x + c.
Substitute (-1,2) into the equation to find c.
2 = 2(-1) + c
c = 4
Hence, equation is y = 2x + 4
a national caterer determined that 87% of the people who sampled their food said it was delicious. A random sample of 144 people is obtained from a population of 5,000. The 144 people are asked to sample the caterer's food. Will the distribution of p hat, the sample proportion saying that the food is delicious, be approximately normal?
The sample proportion saying that the food is delicious will be approximately normal.
In this question, we have been given that 87% of the people who sampled their food said that it was delicious
so, the Population proportion = 87%
A random sample of 144 people is obtained from a population of 5,000. The 144 people are asked to sample the caterer's food.
The sample size of 144 from 5000 will have proportion p cap which will follow a normal distribution with mean= p = 87%
and variance = npq
Since the mean of the sampling distribution of p hat, mean is 0.87 the sample proportion saying that the food is delicious will be approximately normal.
Therefore, the sample proportion saying that the food is delicious will be approximately normal.
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Let t(x) = gof (x). where g (12) = 6. g(6) =-8, and f(x) = 4x - 6.
What is the value of t(3)?
The composition of functions evaluated in x = 3 is equal to -8.
t(3) = -8.
How to evaluate the composition of functions?Here we have the two functions g(x) and f(x), and the composition:
(g°f)(x) = t(x).
This is equal to:
t(x) = g(f(x))
Then:
t(3) = g( f(3) )
Evaluating f(x) in 3 we get:
f(3) = 4*3- 6 = 12 - 6 = 6
Then:
t(3) = g( f(3)) =g(6)
And we know that g(6) = -8, then:
t(3) = -8.
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11.7 divided by 26.2
Answer:
Step-by-step explanation:
the answer is 0.4465 or if needed to be rounded then 0.45
Hayden recorded his speed while walking and determined he walked 120 feet in 30 seconds . At this rate how many feet will Hayden walk in 45 seconds
Answer:
180
Step-by-step explanation:
120ft/30sec=4sec per ft
45-30=15
4(15)=60
120+60=180
9583cm=9hm+5dam+8m+3cm
Answer:
a=(9580c-8-9h)/5d
Step-by-step explanation:
9hm+5dam+8m+3cm=9583cm
Subtract (9hm+8m+3cm) from both sides
5dam=9580mc-8m-9mh simplify
then divide both sides by 5dm
a=(9580c-8-9h)/5d
THIS QUESTION IS VERY UNCLEAR SO I JUST SOLVED FOR A
Which of the following is the same as the equation x + 5y = 4x - 3y ?
a) 3x = 2y b) 3x=8y c) 5x = 2y (d) 6x=y
Answer:
b
Step-by-step explanation:
x + 5y = 4x - 3y ( subtract 4x from both sides )
- 3x + 5y = - 3y ( subtract 5y from both sides )
- 3x = - 8y ( multiply both sides by - 1 )
3x = 8y → b
w(x)=0.6x + 2 graph the linear function please I need to answer it soon
The graph of the linear function w(x) = 0.6x+2 has been plotted
The given linear function is
w(x) = 0.6x+2
The domain is the set of all possible inputs of the functions.
The range is the set of all possible outputs of the functions
Here we will substitute some values of x that is the domain of the function and the result will be the range of the function
w(-3) = 0.6×-3+2
= 0.2
w(-2) = 0.6×-2+2
= 0.8
w(-1) = 0.6×-1+2
= 1.4
w(0) = 0.6×0+2
= 2
w(1) = 0.6×1+2
= 2.6
w(2) = 0.6×2+2
= 3.2
w(3) = 0.6×3+2
= 3.8
Plot the graph using the domain and range
Hence, the graph of the linear function w(x) = 0.6x+2 has been plotted
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Roger Laut, who lives in Territory 5, carries 10/20/5 compulsory liability insurance along with optional collision that has a $1,000 deductible. Roger was at fault in an accident that caused $4,800 damage to the other car and $8,800 damage to his own car. Also, the courts awarded $19,000 and $9,000, respectively, to the two passengers in the other car for personal injuries. How much does the insurance company pay, and what is Roger’s share of the responsibility?
The insurance company will pay $10000 while Roger's share will be $4800 and therefore he must pay $4,800 in the insurance claim.
How to illustrate the information?From the information, Roger Laut, who lives in Territory 5, carries 10/20/5 compulsory liability insurance along with optional collision that has a $1,000 deductible.
An insurance claim is a formal request for payment for losses protected by your insurance policy. A contract between you and your insurer is known as an insurance policy. You must pay a predetermined premium. With a $5,000 maximum limit on property damage, the insurance provider will pay losses up to $10,000 for one injured or killed person and up to $20,000 for several persons. This slab is for any accident.
Roger's share will be $4800 because the cost of repairing the other car is only expected to be around $4800. He's got $4,800 to pay.
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SOMEONE HELP PLS I WILL MAKE BRAINLEIST I PROMISE ONE U AWNSER SAY PLS MARK BRANILIEST HERE MAKE IT SIMPLE OR NO BRANILEST
The addition of 45 + 90 using the greatest common factor is 45(1 + 2) = 135
How to illustrate the information?From the information, it should be noted that Claude uses the greatest common factor and the distributive property to write the sum of 45 + 90.
It should be noted that the greatest common factor between 45 and 90 is 45.
This will be illustrated as:
45 + 90 = 45(1 + 2)
= 45 + 90
= 135
Therefore, the addition is 135.
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URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!
Answer:
A: Reflection over the y-axis
B: Translation 3 right
C: Translation 4 down
D: Reflection over the x-axis
Step-by-step explanation:
A: This is a reflection over the y axis because we can tell it has been flipped to the other side, vertically.
B: Count the spaces between the two 'P's, getting 3 to the right. This is not a reflection because it is facing the same way.
C: Count the spaces between the two 'P's, getting 4 down. Again, this is not a reflection because it is facing the same way.
D. This is a reflection over the x axis because we can tell it has been flipped to the other side, horizontally.
Hope it helps!
The Adidas Flagship Building located in Herzogenaurach is shaped like a rhombus One of the diagonals measures 255.4 meters and the other diagonal measures 203.7 meters. Find the area of the top of the building.
Answer:
26012.49 m²Step-by-step explanation:
Area of the rhombus in terms of given diagonals:
A = ab/2, where A- area, a and b - diagonals.Plug in the values and calculate:
A = 255.4*203.7/2 = 26012.49Please help I’ll mark you as brainliest if correct!
a) quotient = 23 and remainder = 14
b) quotient = 28 and remainder = 12.
c) quotient = 20 and remainder = 10.
a) Here in the first question we have to divide 405 by 17.
405 is not completely divisible by 17.
So when we divide 405 by 17 we get 23 as quotient and 14 as remainder.
we can cross check this by the formula;
Dividend= Divisor × Quotient + Remainder.
So in here the dividend is 405 and the divisor is 17 which when multiplied by the quotient 23 and added by the remainder that is 14 gives us 405.
Thus quotient = 23 and remainder = 14
b) Here dividend = 656 and divisor = 23
Thus when we divide 656 by 23 we get:
we get quotient as 28 and remainder as 12.
c) Given dividend is 1990 and divisor is 98.
Thus we divide 1990 by 98 we get:
Quotient = 20 and remainder = 10.
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