We would anticipate that a fair six-sided number cube would roll a 4 or 5 roughly 170 times out of 510 rolls.
How is probability determined?The likelihood of rolling a 4 or a 5 on any given roll, supposing the six-sided number cube is fair, is 2/6 or 1/3. This indicates that we should anticipate seeing a 4 or a 5 roughly one-third of the time out of 510 rolls.
We may determine this by dividing the total rolls by the likelihood of rolling a 4 or a 5, as follows:
510 * 1/3 = 170
It's crucial to keep in mind that this is merely a prediction based on probability and that the actual outcomes could change as a consequence of chance or other circumstances.
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You flip four coins. Let X, the random variable, be the number of heads on all four coins.
a. List the sample space for the experiment.
The sample space for flipping four coins is {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}.
What is the sample space of the four coins?The sample space for flipping four coins can be represented as a set of all possible outcomes, where each outcome is a sequence of four coin tosses. Each coin toss can result in either heads (H) or tails (T).
The sample space, Ω, for this experiment can be expressed as:
Ω = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}
Here, for example, the outcome HHHT means that the first three coins landed heads, while the last coin landed tails.
The outcome HTHH means that the first coin landed heads, the second and third coins landed tails, and the fourth coin landed heads.
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A bag has nine balls labeled A, B, C, D, E, F, G, H, and I.
One ball will be randomly picked, and its letter will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of choosing a vowel.
Sample space describing all the possible outcomes,
S = { A,,C,D,E,F,G,H,I} and outcomes for choosing vowel ,V={A,E,I}.
What is a sample space?A sample is a set of possible outcomes from a random experiment. The subset of a space is called as event.
A bag has nine balls labeled A, B, C, D, E, F, G, H, and I.
One ball will be randomly picked, and its letter will be recorded as the outcome.
Let S be the sample space describing all the possible outcomes,
S = { A,,C,D,E,F,G,H,I}
Number of elements in S , n(S) = 9.
Let V be the event of choosing a vowel as outcomes,
V={A,E,I}
Number of outcomes in V, n(V) = 3
Hence, sample space describing all the possible outcomes,
S = { A,,C,D,E,F,G,H,I} and outcomes for choosing vowel ,V={A,E,I}.
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Three spheres each with charge Q uniformly distributed through its volume Rank the spheres according to the magnitude of the electric field they produced at point P (greatest firstl P (1) (2) (3) Select one: a. 3 > 2 > 1 b. all tie c. 1>2>3 d. 1 and 2 tie > 3 e. 2 > 3 >1
The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.
Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.
Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:
Sphere 1 produces the greatest electric field at point P since it is the closest to it.
Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.
Sphere 3 produces the smallest electric field at point P since it is the farthest from it.
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The top of a coffee table is in a shape of a rectangle.The length of the top of the coffee table is 3.5 feet and the area is 14 square feet.What is the widthof the topof the coffee table?
Answer:
4 feet
Step-by-step explanation:
We can use the formula for the area of a rectangle to find the width of the coffee table:
Area = Length x Width
Substituting the given values, we get:
14 = 3.5 x Width
To solve for the width, we can divide both sides by 3.5:
Width = 14 / 3.5
Simplifying the right-hand side, we get:
Width = 4
Therefore, the width of the top of the coffee table is 4 feet.
which equation can be used to find the measure of angle fge?
The measure of angle fge is 53.13°.
The equation used to find the measure of angle fge is the Law of Cosines. The Law of Cosines states that for any triangle, the square of the length of any side is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle opposite the side.
Using the Law of Cosines, we can solve for the measure of angle fge as follows:
[tex]fge = cos-1((a^2 + b^2 - c^2) / 2ab)[/tex]
For example, if the length of side a is 3, the length of side b is 4, and the length of side c is 5, then the measure of angle fge can be calculated as follows:
fge =[tex]cos-1((3^2 + 4^2 - 5^2) / 2(3)(4))[/tex]
fge = [tex]cos-1(1/6)[/tex]
fge = 53.13°
Therefore, the measure of angle fge is 53.13°.
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Someone help me pls
Answer:
S) 9/25 = 36/100
W) 1/18 = 10/180
D) 7/20 = 35/100
N) 2/15 = 4/30
T) 9/10 = 36/40
F) 7/12 = 84/144
M) 19/20 = 95/100
Step-by-step explanation:
S) 9/25 = 36/100 We times 4 top and bottom
W) 1/18 = 10/180 We times 10 top and bottom
D) 7/20 = 35/100 We times 5 top and bottom
N) 2/15 = 4/30 We times 2 top and bottom
T) 9/10 = 36/40 We time 4 top and bottom
F) 7/12 = 84/144 We time 12 top and bottom
M) 19/20 = 95/100 We time 5 top and bottom
Explain why the value of 2.8 is greater than the value of 2.58.
2.58 is greater than 2.8 because 2.8 is closer to 0 on a number line.
2.58 is less than 2.8 because 2.58 is closer to 3 on a number line.
2.8 is greater than 2.58 because 2.8 is closer to 3 on a number line.
2.8 is less than 2.58 because 2.58 is closer to 0 on a number line. The letter on the number line represents one and eighty-five hundredths.
Answer:
Step-by-step explanation:
2.8 is greater than 2.58 - because 2.8 is closer to 3 on the number line.
Answer:
(C)
Step-by-step explanation:
2.8 is greater than 2.58 - because 2.8 is closer to 3 on the number line.
...........................
Answer: ?
Step-by-step explanation: ?
The data for numbers of times per week the 24 students of digimo high eat vegetables are shown in the frequency table which data display would you use to represent this data
To represent the data, the display used is histogram.
What is histogram?A frequency distribution shows how often each different value in a set of data occurs. A histogram is the most commonly used graph to show frequency distributions. Histograms visualize quantitative data or numerical data, whereas bar charts display categorical variables.
Given,
Data of 24 students eating vegetables in the frequency table.
The data is quantitative.
Histograms are visual displays of frequencies using columns plotted on a graph. The Y-axis (vertical axis) generally represents the frequency count, while the X-axis (horizontal axis) generally represents the variable being measured.
Hence, Histogram will be used to represent the data.
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PLEASE HELP THIS IS SO DIFFICULT
What is the number of moles in 3.2 x 10^24 atoms of nitrogen?
A. 1.9 moles
B. 5.3 moles
C. 9.5 moles
D. 19.2 moles
Answer:
b
Step-by-step explanation:
Use the Avogadro constant of 6.02 x 10^23
What's the circumference of a
circle with a diameter of 22 inches?
Use 3.14 for I.
C = [?] inches
Round to the nearest hundredth, if necessary.
Circumference of the circle with the given diameter is 69.08 inches.
What is Circumference of a Circle?Circumference of a circle is defined as the total length of the boundary of the circle.
The concept is same as the perimeter for straight sided figures.
Given,
Diameter of the circle = 22 inches
Radius of the circle = Diameter / 2 = 22 / 2 = 11 inches
Circumference of a circle = 2πr, where r is the radius of the circle and the value of π is 3.14.
Circumference = 2 × 3.14 × 11 = 69.08 inches
Hence 69.08 inches is the circumference of the circle.
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In a frog jumping contest at the county fair, Noah’s frog jumped 7/8 yard. Audra’s frog jumped 2/3 OF the distance Noah’s frog jumped. How far, in yards, did Audra's frog jump?
The distance that Audra's frog jumped is given as follows:
7/12 of a yard.
How to obtain the distance that Audra's frog jumped?The distance that Audra's dog jumped is obtained applying the proportions in the context of this problem.
The distance jumped by Noah's frog is given as follows:
7/8 of a yard.
Audra’s frog jumped 2/3 of the distance Noah’s frog jumped, hence the distance is given as follows:
d = 2/3 x 7/8
d = 14/24
d = 7/12 of a yard.
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Which is different?
How much does it take to fill the cylinder?
What is the capacity of the cylinder?
How much does it take to cover the cylinder?
How much does the cylinder contain?
Find “both” answers
The both answers are- How much does it take to fill the cylinder? and How much is needed to completely fill the cylinder?
what is cylinder ?The cylindrical, which is routinely a two half solid, is one of the most basic curved geometric patterns. In simple geometry, it is known as a pyramid with a ring as its basis. The term "cyl" is also used to refer to a continuously curved surface in a broad range of contemporary areas of mathematics and geometry. A "cylinder" is a four structure made up of sloping surfaces with circle tops and bases. A canister is a muti solid figure with three grounds that have two identical circles connected at its height, which is defined by the separation of the structures from the centre. Examples of canisters are chilled drinks cans and toilet tissue wicks.
given
All four statements stats about cylinders .
How much does it take to cover the cylinder? and How much does it take to fill the cylinder? are both not showing volume or capacity of cylinder.
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Brian was recording the height of a plant for a science project. The plant was 6 1/2 inches tall last week. After measuring the plan this week he recorded that the plant grew 1 1/4 inches. What is the height of the plant now
Answer:
The height of the plant now is 7 3/4 inches, as it has grown by 1 1/4 inches from the previous measurement of 6 1/2 inches.
Step-by-step explanation of how to calculate the height of the plant:
1. Measure the height of the plant last week, and record it (it is 6 1/2 inches).
2. Measure the height of the plant this week, and record it (it is 7 3/4 inches).
3. Subtract the height measured last week from the height measured this week (7 3/4 - 6 1/2 = 1 1/4 inches). This result indicates the amount the plant has grown.
4. Add the result from Step 3 (1 1/4 inches) to the height that was recorded last week (6 1/2 inches).
5. The final result is the current height of the plant, which is 7 3/4 inches.
The equation, A = P(1 + 0.037t), represents the amount of money earned on a savings account with 3.7% annual simple interest. If the amount after 5 years is equal to $1,422, what is the amount of the principal investment? $1,200 $1,422 $274.25 $294.86
The principal investment was $[tex]1,200.[/tex] Answer: $[tex]1,200.[/tex]
What is the savings account?We know that after 5 years, the amount of money earned on the savings account is $ [tex]1,422[/tex], and the equation that relates the amount A to the principal P and the time t is:
[tex]A = P(1 + 0.037t)[/tex]
We can use this equation to find the value of P:
A = $[tex]1,422[/tex]
t = 5 years
[tex]0.037[/tex] is the interest rate per year
[tex]A = P(1 + 0.037t)[/tex]
$[tex]1,422 = P(1 + 0.037\Ttimes 5)[/tex]
$[tex]1,422 = P(1.185)[/tex]
To solve for P, we divide both sides of the equation by 1.185:
[tex]P = $1,200[/tex]
Therefore, the principal investment was $1,200. Answer: $1,200.
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descending from 35600 feet at a rate of 3200 feet per minute
Answer:
the answer is 11.1 minute
Step-by-step explanation:
divide 35600 by 3200
What is the value of x?
The value of x for the given angles will be x = 20. The correct option is A.
What are lines and angles?The lines are the collection of collinear points arranged in a straight path. Types of lines can be a ray, segment, etc. The angle is the space between the two intersecting lines calculated in degrees.
Given that the two opposite angles when two lines intersect each other are,
(x + 40)°
(3x)°
The value of x will be calculated as:-
x + 40 = 3x
3x - x = 40
2x = 40
x = 20
Therefore, the value of x for the given angles will be x = 20. The correct option is A.
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how do you conversion ml to ounces
To convert milliliters (ml) to ounces (oz), multiply the number of milliliters by 0.033814. The conversion factor of 1 ml = 0.033814 oz is used to convert any given volume in milliliters to ounces.
In order to convert milliliters (ml) to ounces (oz), we use the conversion factor of 1 ml = 0.033814 oz. This means that one milliliter is equivalent to 0.033814 ounces. To convert any given volume in milliliters to ounces, we multiply that value by the conversion factor of 0.033814.
The result should be rounded off to an appropriate number of decimal places based on the level of precision required for the particular application.
For example, if we want to convert 500 ml to ounces, we would do:
500 ml * 0.033814 oz/ml = 16.907 oz
So, 500 milliliters is equal to 16.907 ounces.
Note that this conversion factor is exact, meaning that it has an infinite number of decimal places. However, when we round off the final result, we should choose an appropriate number of decimal places based on the level of precision that we need for the particular application.
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How to Convert ml to Ounces?
Determine the interval(s) on which the given function is increasing.
Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right
B IS INCORRECT
A.) (–∞, –1) ∪ (1,∞)
B.) (–1, ∞) NOT THE ANSWER
C.) (–∞, 0) ∪ (1, ∞)
D.) (0, 1)
Answer:
Step-by-step explanation: Answer c the -1 is equivalent to the -0 and -* to the third power equaled the equation mathematics of it being c
Thus, the answer c
Q is the centroid of the triangle. What is the length of QK?
Applying the centroid theorem, the length of QK in the triangle is: 10.
What is a Centroid of a Triangle?The centroid of a triangle is the point of intersection of the three medians of the triangle. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposing side. T
What is the Centroid Theorem?The Centroid Theorem states that the centroid of a triangle is located two-thirds of the distance from each vertex to the midpoint of the opposite side.
In other words, if G is the centroid of triangle ABC, then AG = (2/3)AD, BG = (2/3)BE, and CG = (2/3)CF, where D, E, and F are the midpoints of sides BC, AC, and AB, respectively.
Therefore, given that:
Q is the centroid of ΔJKL
PQ = 5
Thus, PQ = 1/3(PK) [according to the centroid theorem]
Substitute:
5 = 1/3(PK)
15 = PK
PK = 15
QK = PK - PQ
QK = 15 - 5
QK = 10 units
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sorry to be a bug again but please help with 8, 9, and 10 please!
8) The percent of people that said that Pinocchio was their favorite Disney Movie is of: 28%.
9) The percent of people that said that Pinocchio or Cars was their favorite Disney movie is of: 39%.
10) The two movies that about half the people say were their favorite is of: Pinocchio and Toy Story.
How to obtain the percentages?From the pizza graph, the sum of all the percentages must be of 100%, hence the Pinocchio percentage is obtained as follows:
10 + 11 + 14 + 15 + 22 + P = 100
72 + P = 100
P = 100 - 72
P = 28%.
Then the percentage for Pinocchio or Cars is of:
28 + 11 = 39%.
The percentage for Pinocchio or Toy Story is of:
28 + 22 = 50%.
(about half).
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How to identify a common ratio in y and x table
The common ratio of y and x in a table is identified dividing a value of y by it's respective value of x.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The constant represents the common ratio, which is calculated as follows:
k = y/x.
Meaning that we must divide a value of y by it's respective value of x.
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ASAP PLEASEEEEE WILL GIVE 50/60 POINTS
A rectangular prism is shown. The base of the prism is a square. The length of the diagonal from top corner A to opposite bottom corner B is 2 feet.
Determine the exact length of the box in inches.
answer choices :
414
495
The length of the rectangular prism is 20.35
How to solve for the length of the boxThe diagonal of the base is calculated using Pythagoras theorem. This is a side that will use to find the length of the box.
The diagonal A - B given as 2 feet = 24 inches is the hypotenuse while solving for the length of the prism
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 9² + 9²
x² = 81 + 81
x = √162
x = 12.728
The length of the rectangular prism is solved as follows
let y be the required distance
24² = y² + 12.728²
y² = 24² - 12.728²
y = √413.998
y = 20.35 in
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Choose the correct symbol to fill in the box
below.
4c means 4 C
The term 4c defines the constant term 4 is multiplied by c.
What are coefficients and like terms?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.
Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.
Suppose we have an equation 2x + 3, In algebra, we don't write 2×x + 3.
We simply write 2x + 3.
Similarly, 4c mean 4 is multiplied by c, 4×c, Where 4 is the coefficient and c is the variable.
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SP when CPi is 380 and gain percentage is 25
Answer:
If the cost price (CP) is 380 and the gain percentage is 25%, we can use the following formula to find the selling price (SP):
SP = CP + (gain percentage/100) * CP
Substituting the given values, we get:
SP = 380 + (25/100) * 380
SP = 380 + 95
SP = 475
Therefore, the selling price is 475.
Step-by-step explanation:
ERROR ANALYSIS Describe and correct the error in finding the difference.
X
(x²+x) - (2x²-3x)
= (x²+x) + (-2²-3r)
= (x^² - 2x²) + (x²-3x)
=-2²-2r
Answer:
There is an error in finding the difference. The expression (x²+x) - (2x²-3x) can be simplified as follows:
(x²+x) - (2x²-3x) = x²+x + (-2x²+3x) = x² - 2x² + x + 3x = -x² + 4x
So, the correct answer is -x² + 4x, not -2²-2r.
Step-by-step explanation:
pls mark brainlist also:)
Equilateral triangle abc has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle a to side at point m. What is the length of ? 16 mm 24 mm 32 mm 48 mm.
Option a is correct- The length of MC is 16mm.
The equilateral triangle has its three sides with the same length.
So if the perimeter is 96 mm, we have,
perimeter = 3 * side
3 * side = 96
side = 32mm
The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation,
height = (side * root(3))/2
height = 16root(3)
Using the Pythagoras' theorem in the triangle ACM, we have,
side^2 = MC^2 +height ^2
1024 = MC^2 + 768
MC^2 = 256
MC = 16mm
so, The length of MC is 16mm.
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Write two expressions (with at least two terms each) that when added together have a sum of -4 n + 6.
100 POINTS AND BRAINLIEST
The requried expressions that when added together have a sum of -4 n + 6 are -3n - 2 + 7n + 8 and -5n - 1 + 9n + 7.
What is the equation model?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
We can write two expressions that when added together have a sum of -4n + 6 as follows,
-3n - 2 + 7n + 8
Here, the first expression is -3n - 2, and the second expression is 7n + 8.
When we add these two expressions together, we get:
(-3n) + (7n) + (-2) + 8 = 4n + 6
So the sum of the two expressions is -4n + 6.
Again,
-5n - 1 + 9n + 7
Here, the first expression is -5n - 1, and the second expression is 9n + 7.
When we add these two expressions together, we get:
(-5n) + (9n) + (-1) + 7 = 4n + 6
So the sum of the two expressions is -4n + 6.
Thus, the requried expression that when added together have a sum of -4 n + 6 are -3n - 2 + 7n + 8 and -5n - 1 + 9n + 7.
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Please can someone Graph Y=-x+6
Answer: (0,6), (1,5), (2,4), (3,3)
Step-by-step explanation:
I don't think I can add a picture but I can give you points and you can just draw a line through all of them
(0,6), (1,5), (2,4), (3,3)
If you want to, you can use a graphing calculator and just put the equation in. If you don't have an actual graphing calculator, I recommend using desmos online graphing calculator because it works really well.