The probability that he would have done at least this well if he had no ESP is approximately 2.4%. This can be calculated by determining the probability of getting 22 or more of 30 coin flips correct by chance, which is 0.024.
The probability of getting 23 or more of 30 coin flips correct by chance is 0.0048. The probability of getting 24 or more of 30 coin flips correct by chance is 0.0008. The probability of getting 25 or more of 30 coin flips correct by chance is 0.00012. The probability of getting 26 or more of 30 coin flips correct by chance is 0.000016. The probability of getting 27 or more of 30 coin flips correct by chance is 0.000002. The probability of getting 28 or more of 30 coin flips correct by chance is 0.00000003. The probability of getting 29 or more of 30 coin flips correct by chance is 0.000000004. The probability of getting 30 of 30 coin flips correct by chance is 0.00000000003.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
The perimeter of a rectangle measures 48 feet. The length is 4 times as long as the width. If 9 1/2 feet is added to the length of the original rectangle, what is the new length of the rectangle?
Since the polygon's perimeter equals the sum of its sides. This means that the perimeter (P) of a rectangle is;
P = the sum of all of its sides.
P = a + b + a + b In a rectangle, the opposite sides are equal.
P = 2(a + b)
Given a rectangle with length 4x and width x, what is its perimeter?
P equals 2(a + b), thus 48 equals 2(x + 4x).
48 = 2(x+4x)
48 = 2(5x)
48 = 10x
x = 4.8
4x = 19
19.2 feet in length and 4.8 feet in width when first built.
The new length would be 9.5+19.2=28.7 if 9 1/2 were added to the previous length.
A new length of 28.7 feet results as a result.
To know more about polygon's perimeter click here.
brainly.com/question/15387363
#SPJ4
Stella has $4.50 worth of dimes and quarters. She has 3 more dimes than quarters. Determine the number of dimes and the number of quarters that Stella has.
Answer:
12 quarters, 15 dimes
Step-by-step explanation:
Let q be the number of quarters and d be the number of dimes. We set up and solve this system of equations:
.10d + .25q = 4.50
d = 3 + q
.10(3 + q) + .25q = 4.50
.30 + .10q + .25q = 4.50
.30 + .35q = 4.50
.35q = 4.20
q = 12, d = 15
Find the surface area of this triangular prism. Be sure to Include the correct unit in your answer.
Answer:
The surface area of the triangular prism is 180 square centimeters.
Step-by-step explanation:
To find the surface area of a triangular prism, we need to find the area of each face and add them up. Let's call the base of the triangle b, the height of the triangle h, and the height of the prism (the distance between the two triangular faces) H.
The triangular faces each have an area of (1/2)bh, so the total area of the two triangular faces is bh. The rectangular faces each have an area of Hb, so the total area of the two rectangular faces is 2Hb. Finally, the top and bottom faces each have an area of b^2, so the total area of these two faces is 2b^2.
Adding all of these areas together, we get:
Surface area = bh + 2Hb + 2b^2
Substituting the given values, we get:
Surface area = (6 cm)(8 cm) + 2(5 cm)(6 cm) + 2(6 cm)^2
Surface area = 48 cm^2 + 60 cm^2 + 72 cm^2
Surface area = 180 cm^2
Therefore, the surface area of the triangular prism is 180 square centimeters.
The present age of a mother is 3 times that of her daughter. If 6 years ago, the mother's age was 4 times the daughter's age, find the present age of the daughter.
Answer: 20
Step-by-step explanation:
a + b = 60.
a - 6 = 5b - 30 or a = 5b - 24
a = 60 - b
60 - b = 5 b - 24
84 = 6b
b = 14
a = 46
Mother is 46 and daughter is 14 now. After 6 years, daughter will be 20.
Hope this helped you, And if possible, could I have brainliest?
I also answered first! :D (Please don't copy what I said for the people that are going to answer this question, thank you!) :D
How do you find the x and y coordinates of a location
See below for the steps to find the coordinates
How to determine the x and y coordinatesTo find the x and y coordinates of a point on a coordinate plane, follow these steps:
Identify the point: Look at the graph and locate the point for which you need to find the coordinates.Locate the x-axis and y-axis: Identify the x-coordinate: The x-coordinate of the point is the horizontal distance from the y-axis to the point. Identify the y-coordinate: The y-coordinate of the point is the vertical distance from the x-axis to the point.Lastly, write down the coordinates as an ordered pair (x, y)
Read more about coordinates at
https://brainly.com/question/25886396
#SPJ1
realiza la inversa de la siguiente función f(x)=x+2/x-3
The inverse function {f⁻¹(x)} for the function f(x) is -
f⁻¹(x) = (3x + 2)/(x - 1)
What is algebraic expression?An algebraic expression is a combination of terms both constants and variables. For example -
2x + 3y + z
3x + y
Given is the function f(x) as -
f(x) = (x + 2)/(x - 3)
We can write the function f(x) as -
f(x) = (x + 2)/(x - 3)
We can find the inverse function {f⁻¹(x)} as follows -
y = (x + 2)/(x - 3)
x = (y + 2)/(y - 3)
x(y - 3) = y + 2
xy - 3x = y + 2
xy - y = 3x + 2
y(x - 1) = 3x + 2
y = (3x + 2)/(x - 1)
f⁻¹(x) = (3x + 2)/(x - 1)
Therefore, the inverse function {f⁻¹(x)} for the function f(x) is -
f⁻¹(x) = (3x + 2)/(x - 1)
To solve more questions on inverse function, visit the link below
brainly.com/question/29014197
#SPJ1
{Question in english -
perform the inverse of the following function f(x)=x+2/x-3}
A farmer keeps chickens and sheep together in a pen. He counts 26 heads and 86 legs all together. How many of each type of animal does the farmer have in the pen.
Please explain and answer. :)
Answer:Well lets look at the arithmetic of this. Logically we know that all 42 animals have at least 2 feet each so 42 x 2 =84 that means the remaining feet cannot belong to the chickens and therefore 114–84= 30 remaining feet belong to the cows, therefore you divide 30/2 = 15 cows who have 4 legs each, 60 legs in total. 42–15 = 27 chickens who have 2 legs each, 54 legs in total. This adds up to the total of legs of 114, 60 + 54. Therefore out of a total of 42 animals, 15 are cows and 27 are chickens.
Step-by-step explanation:
Please help me I have a 60inch tv and don’t know how to solve this can u maybe make smth up? I will give brainliest to the first person who answers
60 INCH TV MATE 60
the answer is 60 inch its a trick question just find out the inches there trying to trick you its 60 inch mate enjoy <3 Mark me brainliest
Answer:
1. Tv Length: 12 in
2. Tv Width: 5 in
3. Sorry I don't understand 3
4. I have a 60-inch Tv.
Hope this helps!
I
The density of lanthanum is given as a rate of 6. 15g/mL. What is the density of lanthanum in pounds per liter if 1lb=0. 454kg
? Express your answer as a fraction in lowest terms
Lanthanum, a chemical element with the atomic number 57, has the symbol La in the Periodic Table.
Density is calculated by comparing an object's mass to its volume.
In this question the density of lanthanum is given in grams per mililitre.
For lanthanum density, the appropriate response is 6.15 grammes per millilitre.
To convert grams into kilograms, we do
Since\s1g=.001kg
Hence, the formula to determine the density of lanthanum in kilogrammes is 0.001*6.15g/ml, or 0.00615kg/ml.
Hence, 0.001*6.15g/ml, or 0.00615kg/ml, is the formula for computing the density of lanthanum in kilogrammes. Therefore,
The density will then be 0.00615/0.454 lbs/ml, or 0.0135462555066 lbs/ml, which is the equivalent in pounds.
To know more about Lanthanum click here .
brainly.com/question/30702287
#SPJ4
Find half of the time that Arnold skied without falling, and write inequalities to compare it with the times others in the family skied without falling
The half of the time that Arnold skied without falling is 712 as 2 x 356=712>223 .
Inequality is a mathematical statement that illustrates the connection between two expressions by using the inequality symbol. The phrases on both sides of an inequality sign are distinct. It indicates that the left expression should be larger or smaller than the right expression, or vice versa. When the link between two algebraic expressions is expressed using inequality symbols, literal inequalities arise.
The discrepancy represents the incident in which Kelvin skied for more than twice as long as anybody else in his family:
2f < 223
Here 223 is the time for Kelvin.
Check for Lori as follows:
2f < 223
2 x 55=110 < 223
Kelvin skied without falling more than twice as long as Lori.
Check for Vanessa as follows:
2f < 223
2 x 265=530>223
Check for Arnold as follows:
2f < 223
2 x 356=712>223
Kelvin skied without falling less than twice as long as Arnold.
Learn more about Inequality:
https://brainly.com/question/17153612
#SPJ4
Complete question:
Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.
Lori 55
Vanessa 265
Devon 172
Celia 112
Arnold 356
five number summary calculator
The five-number summary calculator is a statistical method. It is used to find the third quartile, first quartile, median, minimum, and maximum value of the given data set.
A five-number summary calculator is a statistical test that includes five items. The items are Q₁ or first quartile, Q₃ or third quartile, the median, the maximum, and the minimum. This helps to give an idea about the data set. This also helps to calculate ascending order, descending order, and interquartile of the given data set.
In this method, we first input the list of numbers or data. Then, we arrange those numbers. From this, the minimum value and the maximum value will be found. Then, the median is calculated using the formula for odd and even numbers of terms. Then, the median of the lower half numbers gives the first quartile and the upper half number gives the third quartile.
To know more about the median:
https://brainly.com/question/3515636
#SPJ4
Using the special right triangle shortcuts, what is the length of the hypotenuse of a 45-45-90 triangle with a leg length of 8?
The length of the hypotenuse is 8√2 units.
What is Pythagoras theorem?According to the Pythagoras theorem, we can write -
the square of the hypotenuse is equal to the sum of the squares of the other two sides.Mathematically, we can write -(hypotenuse)² = (base)² + (perpendicular)²
(h)² = (b)² + (p)²
Given is a 45 - 45 - 90 triangle with a leg length of 8.
Equal Opp. Angles Theorem -
The angles opposite to equal sides are equal and vice - versa is also true. So, we can conclude that both leg length and height length are equal. Mathematically, we can say : (base) = (perpendicular) = 8 unitsWe can write using the Pythagoras theorem as -
x² = 8² + 8²
x² = 64 + 64
x² = 128
x = √(2 x 2 x 2 x 2 x 2 x 2 x 2)
x = √(2² x 2² x 2² x 2 )
x = 8√2
Therefore, the length of the hypotenuse is 8√2 units.
To solve more questions on Pythagoras theorem, visit the link below -
https://brainly.com/question/27911936
#SPJ1
Which sequence of transformations proves that shape I is similar to shape II?
A.
a 90° clockwise rotation about the origin, and then a dilation by a scale factor of 2
B.
a reflection across the x-axis, and then a dilation by a scale factor of 1.5
C.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 1.5
D.
a reflection across the x-axis, and then a dilation by a scale factor of 2
E.
a reflection across the y-axis, and then a dilation by a scale factor of 2
what is 20 in decimal?
The number 20 can be represented as a decimal by simply writing it as 20.0 or 20.00
The number 20 can be represented as a decimal by simply writing it as 20.00 or 20.000 This is because decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part.
In this case, since 20 is a whole number and has no fractional part, we can represent it in decimal form by adding a decimal point and a zero or two zeros after it to indicate that there are no decimal places.
Alternatively, we can also represent 20 as a decimal by dividing it by 1, which does not change its value, and then expressing the quotient as a decimal. Since 20 divided by 1 equals 20, we can write 25 as a decimal by dividing 25 by 1 and writing the quotient as follows:
20 ÷ 1 = 20.000000... (with the decimal places repeating indefinitely)
However, in most cases, it is sufficient to represent 20 as 20.0 or 20.00, since these notations convey that the number has no fractional part.
Learn more about decimal number here
brainly.com/question/4708407
#SPJ4
Solve the inequality from part A for x. Then use the drawing tools to graph the solution set on the number line.
On the number line, mark the endpoint at 10 with a closed circle.
Next, draw a ray to the right of 10.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would collect like-terms and rearrange the expression as follows;
1,558 + 60x ≥ 2,158
60x ≥ 2,158 - 1,558
60x ≥ 600
x ≥ 10
Read more on inequality here: https://brainly.com/question/18731644
#SPJ1
Complete Question:
Solve the inequality from part A for x. 1,558 + 60x ≥ 2,158.
Then use the drawing tools to graph the solution set on the number line.
On the number line, ________________.
Next, draw a ray to the ____ of 10.
Find the solution set (1)
10+y<10-3y
find the solution set (2)
-6≥10-8x
The solution sets for the inequality 10+y<10-3y and -6≥10-8x are y>-2.5 and x≤0.75, respectively.
Inequality is a mathematical concept used to compare two expressions and determine whether one is larger or smaller than the other. It is represented by symbols such as <, >, ≤, and ≥.
To find the solution set of 10+y<10-3y, we must first isolate the variable y on one side of the equation.
To do this, we need to subtract 10 from both sides of the equation, leaving us with y<-10-3y.
We can then divide both sides by -4 to get
=> y>-2.5.
Thus, the solution set of 10+y<10-3y is y>-2.5.
To find the solution set of -6≥10-8x, we must first isolate the variable x on one side of the equation.
To do this, we need to subtract 10 from both sides of the equation, leaving us with
=> -6≥-8x.
We can then divide both sides by -8 to get
=> x≤0.75.
Thus, the solution set of -6≥10-8x is x≤0.75.
To know more about inequality here.
https://brainly.com/question/28823603
#SPJ4
I need some help please
Answer: this is true
Step-by-step explanation:
2) In a senior high school there are 174 students in SHS 3. Of there 86 plytennis tabletennis, 84 play football and 94 play vollefall: 30 play table tennis and volleyball, 34 34 phy volleyball and football and 42 play tableteris and futball Each. one of the daudertas do and games games Plebrate the information plays play all three Venn diagram 9 and find of random from SHS 3 on Write dan If a dudent on equation in x chosen, at rando is What the probability thate he plays 2 games.
Please help now!!
The value of x is 24.
If chosen at random, the probability that he plays two games is 7/29
What is a Venn Diagram?John Venn popularized the Venn diagram in the 1880s, which is a type of diagram that displays the logical relationship between sets. The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach basic set theory and to show basic set relationships.
To find the value of x:
x + (42 - x) + (42 -x ) + (30-x) + 186 -42 + x - x -30 + x
=>150x + x = 174
x= 24.
From the Venn diagram, the number of students that play both games is 42
Hence, the probability is 42/174
Simplified further, it becomes:
7/29
Read more about venn diagrams here:
https://brainly.com/question/2099071
#SPJ1
Choose the fraction pair that is equivalent.
3/7 and 36/84
3/6 and 6/9
7/12 and 12/7
1/5 and 1/10
The fraction of pair that are equivalent are 3/7 and 36/84 and 1/5 and 1/10.
How to find equivalent fraction?The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.
When evaluating equivalent fractions, the numerator and denominator are multiplied or divided by the same value. As a result, equivalent fractions will all have the same value when reduced to their simple form.
To find the equivalent fraction we simplify the fractions to the simplest form:
3/7 and 36/84
The simplified form of 36/84 = 3/7
3/7 and 36/84 are equivalent.
3/6 and 6/9 = 1/2 and 2/3 - Not equivalent
7/12 and 12/7 not equivalent
1/5 and 1/10 = 1/5 and 1/5 equivalent.
Hence, the fraction of pair that are equivalent are 3/7 and 36/84 and 1/5 and 1/10.
Learn more about equivalent fractions here:
https://brainly.com/question/29766013
#SPJ1
Someone answer please appreciate it
Answer:
$4
Step-by-step explanation:
Simplify this equation:
Answer:
[tex]8y^{3}[/tex]
Step-by-step explanation:
First you move like terms together. This leads to the equation, (2*2^2)(y^2*y). (2*2^2) is (2*4), or 8, and y^2*y is y^3. This means the simplifies equation is 8(y^3).
Answer:
Step-by-step explanation:
Given
[tex]\left(y^22\right)\left(y2^2\right)[/tex]
Lets simplify.
Remove the parenthesis.
[tex]y^2*2*y*2^2[/tex]
Rearrange the terms. (commutative property)
[tex]y*y^2*2*2^2[/tex]
Rewrite [tex]y[/tex] as [tex]y^1[/tex].
[tex]y^1y^2*2*2^2[/tex]
Use the power rule to combine the exponents.
[tex]y^{1+2} *2*2^2[/tex]
[tex]y^{3} *2*2^2[/tex]
Evaluate [tex]2*2^2[/tex].
[tex]2*2*2=8[/tex]
[tex]y^3*8=8y^3[/tex]
[tex]8y^3[/tex]
Learn more about the power rule here
https://brainly.com/question/24920520
Learn more about the commutative property here
https://brainly.com/question/17196747
State the domain and range for the relation. Order from LEAST to GREATEST.
{(-5, 1), (-7, 3), (2, 0), (5, 8)}
Answer:
Domain = {2, -5, 5, -7 }
Range = { 0, 1 , 3 , 8 }
Refection across x=3
Reflection across x=3 is a transformation that involves reflecting a figure across a vertical line of symmetry at x=3.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
This transformation produces a mirror image of the original figure. Reflection across x=3 can be represented in the form of a matrix equation,
A= [[-1, 0],
[ 0, 1]]
This matrix equation demonstrates that the x coordinates of a point will be multiplied by -1, while the y coordinates will remain unchanged. This transformation is also known as a reflection over the y-axis.
Reflection across x=3 can be used to change the orientation of a figure in a 2-dimensional coordinate plane. For example, if a triangle is located at the position (2,4) and the coordinates need to be changed so the triangle is reflected across x=3, the coordinates would be transformed to (-2,4).
Reflection across x=3 can also be used to solve various types of mathematical problems. For example, if a problem asks for the coordinates of a point that is the reflection of a point across x=3, the coordinates of the reflected point can be calculated by multiplying the original x coordinate by -1 and leaving the y coordinate unchanged.
To know more about triangle click-
https://brainly.com/question/17335144
#SPJ1
Need answers fast❗️
Answer: 22 degrees !
Step-by-step explanation: angle ABD is a right, 90 degree angle. angle ABC is a 68 degree angle. CBD is left, so you would do 90-68 to find it, which equals 22 :)
3. Communicate and Justify The average cost of
an entree on a restaurant menu is $15. Does this
describe the mean or median? Explain.
The average cost of an entree on a restaurant menu that is $15 describes the mean, not the median.
What is the mean?The mean is the average value of a data set.
To compute the average, the total value of the data set is divided by the number of items involved.
The average value or mean is the quotient of the total value and the number of data items.
On the other hand, the median describes the middle value of an ordered list of data values.
Thus, when an entree on a restaurant menu costs $15 on average, it is a description of the mean value and not the median.
Learn more about the mean and median at https://brainly.com/question/6281520.
#SPJ1
Geraldo asked Ruth, "About how many people show up to play bingo each week?" Is this a statistical question? Choose 1 answer: A Yes B No
A. Yes, this is a statistical question.
What is statistical problems?A statistical problem has four main elements that define it: the manner in which the question is posed, the characteristics and function of the data, the specific methods used to analyze the data, and the inferences drawn from the investigation. In summary, a statistics problem usually consists of four essential components.
1. Ask a Question
2, Collect Data
3. Analyze Data
4. Interpret Results
A statistical question is a question that can be answered by collecting and analyzing data. In this case, Geraldo is asking about the number of people who show up to play bingo each week.
This question can be answered by collecting data over a period of time and calculating the average number of people who show up to play bingo each week.
Therefore, this question is a statistical question.
Learn more about statistical problems here:
https://brainly.com/question/29765147
#SPJ9
Eight upright domino's of increasing heights are lined up to be knocked down. The dominos are numbered 0 to 7. The smallest domino, #0 is 5.00 cm tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 13% taller than the one before. What is the height of domino number 7?
The required height of domino number 7 is 11.76 cm (rounded to two decimal places).
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
Here,
Since each subsequent domino is 13% taller than the one before, we can find the height of each domino by multiplying the height of the previous domino by 1.13.
Starting with the height of the smallest domino, we can calculate the height of each subsequent domino using this rule:
Height of domino n = Height of domino (n-1) × 1.13
Using this formula, we can find the height of each domino:
Height of domino 1 = 5.00 cm × 1.13 = 5.65 cm
Height of domino 2 = 5.65 cm × 1.13 = 6.38 cm
Height of domino 3 = 6.38 cm × 1.13 = 7.21 cm
Height of domino 4 = 7.21 cm × 1.13 = 8.16 cm
Height of domino 5 = 8.16 cm × 1.13 = 9.22 cm
Height of domino 6 = 9.22 cm × 1.13 = 10.41 cm
Height of domino 7 = 10.41 cm × 1.13 = 11.76 cm
Therefore, the height of domino number 7 is 11.76 cm (rounded to two decimal places).
Learn more about arithmetic progression here:
https://brainly.com/question/20334860
#SPJ1
which figure is a translation of figure A? explain
Answer:
Figure B
Step-by-step explanation:
A translation is when you move every point of a figure in the same direction and same distance. It must retain the original shape of the figure and be superimposable. Figure C is a reflection, not a translation.
a rectangular prism is intersected by a horizontal plane and a vertical plane. The cross section formed by the horizontal plane and the prism is a rectangle with dimension 8 in. and 12 in. The cross section formed by the vertical plane and the prsim is a rectangle with dimensions 5 in. and 8 in. Describe the faces of the prism, including their dimensions. Then find its volume
The volume of the rectangular prism is 480 cubic inches.
What is Volume?Volume is a three-dimensional space measurement. It is frequently numerically quantified using SI-derived units or various imperial or US customary units. The definition of length is linked to the definition of volume.
Let's label the dimensions of the rectangular prism as length (l), width (w), and height (h).
From the given information, we know that the cross section formed by the horizontal plane and the prism is a rectangle with dimensions 8 in. and 12 in. This means that the length and width of the rectangular prism are at least 12 in. and 8 in., respectively.
Similarly, the cross section formed by the vertical plane and the prism is a rectangle with dimensions 5 in. and 8 in. This means that the height and width of the rectangular prism are at least 5 in. and 8 in., respectively.
Therefore, the faces of the rectangular prism are:
A face with dimensions l x w = 12 in. x 8 in.
A face with dimensions l x h = 12 in. x 5 in.
A face with dimensions w x h = 8 in. x 5 in.
To find the volume of the rectangular prism, we can use the formula:
Volume = length x width x height
Since we don't know the exact dimensions of the rectangular prism, we can use the minimum dimensions we found earlier. Therefore, the volume of the rectangular prism is:
Volume = 12 in. x 8 in. x 5 in. = 480 cubic inches
So the volume of the rectangular prism is 480 cubic inches.
To learn more about Volume from the given link
brainly.com/question/463363
#SPJ1
If r=1 and 0=pi/4, what is the approximate arc length?
The approximate arc length of the circle of radius 1 unit is B. 0.785 units.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know, S = rФ, where S is the arc length, r is the radius and Ф is the measure of the angle in radians.
Therefore, When r = 1 and Ф = π/4,
S = 1×π/4.
S = 0.785 units.
learn more about the arc of circles here :
https://brainly.com/question/16930503
#SPJ1
