In the problem, we are given that the probability of getting a bear is equal to p. Where probability is the share of successful outcome in this case is the bear) over total outcomes (total amount of prizes).
The likelihood of not receiving a bear two times in a row is containing of 2 tries:
try 1: 1st spin gets a bear, 2nd spin does not receive a bear
total probability of try 1 = p * (1 – p)
try 2: 1st spin does not get a bear, 2nd spin gets a bear
total probability of try 1 = (1 – p) * p
The total probability of the 2 tries is just the sum of the 2:
Overall probability of not getting a bear twice in a row= p * (1 – p) + (1 – p) * p
Simplifying this will give us:
Overall probability of not getting a bear twice in a row = 2p * (1 – p)
Therefore, the likelihood of not receiving a bear twice in a row > 3 times the probability of getting the teddy bear. Rewriting the statement, will give us the inequality of 2p * (1 – p) > 3 p
To compare the probability of getting the teddy bear to the probability of not getting the teddy bear, use the inequality p^2 + 3p - 1 < 0.
Explanation:To write an inequality that compares the probability of getting the teddy bear to the probability of not getting the teddy bear, we can use the inequality sign. Let's represent the probability of getting the teddy bear in one try as 'p'. Since we want the probability of not getting a bear twice in a row to be greater than 3 times the probability of getting the teddy bear in one spin, we can write the inequality as:
1 - p * p > 3p
Simplifying the inequality, we get:
1 - p^2 > 3p
Then, rearranging the terms, we get:
p^2 + 3p - 1 < 0
This is the inequality that compares the probability of getting the teddy bear to the probability of not getting the teddy bear.
Express 5/14 as a decimal number rounded to the nearest thousandth.
0.357
2.8
0.3571
0.28
Rounded to the nearest thousandth, it's 0.357. So, the correct answer is: A) 0.357.
To express 5/14 as a decimal, divide 5 by 14 to get 0.357142857. Rounding to the nearest thousandth means considering the third digit after the decimal point. Since the fourth digit is 1, which is less than 5, it doesn't affect the rounding. Therefore, 5/14 as a decimal rounded to the nearest thousandth is 0.357. This approximation maintains three decimal places, with the third digit being 7.
[tex]\frac{5}{14}=0.357142857[/tex]
Complete Question:
Express 5/14 as a decimal number rounded to the nearest thousandth.
A) 0.357
B) 2.8
C) 0.3571
D) 0.28
it will be 12 degrees tonight. the weatherman predicts it will be 25 degrees warmer by noon tomorrow. what will the temperature be by noon tomorrow?
Which property justifies the procedure used to eliminate fractions and decimals from equations?
Division Property of Equality
Identity Property of Multiplication
Multiplication Property of Equality
Addition Property of Equality
By multiplication property of equality, we can eliminate fractions and decimals from equations. Option C is correct.
Given that,
To determine which property justifies the procedure used to eliminate fractions and decimals from equations.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Suppose the equation
1 / 4 = 0.25
Now multiply both sides by 4
4 * 1/ 4 = 0.25 * 4
1 = 1
So, by multiplication property of equality, we can eliminate fractions and decimals from equations.
Thus, by multiplication property of equality, we can eliminate fractions and decimals from equations.
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Which two terms are often synonymous with or made possible with cidr?
CIDR, or Classless Inter-Domain Routing, is tied to IP address aggregation and subnetting, which help in efficient IP address allocation and network management.
Classless Inter-Domain Routing, commonly known as CIDR, is a method for allocating IP addresses and routing Internet Protocol packets.
Two terms often associated with CIDR are IP address aggregation and subnetting. IP address aggregation involves the grouping of multiple networks into a single, larger network, represented as a CIDR block.
Subnetting refers to dividing a larger network into smaller, more manageable sub-networks or subnets. This technique can help reduce the number of routing table entries needed in a network, which improves routing efficiency and conserves the limited supply of IP addresses.
q(a+y)=67y+93 Solve for y
The value of y is:
[tex]y=\dfrac{93-qa}{q-67}[/tex]
Step-by-step explanation:We are given a expression in terms of three unknowns q,a and y.
Now, we are asked to solve this expression for y.
i.e. we are asked to represent y in terms of other two unknowns.
We will first use the distributive property under multiplication in the left hand side of the equation.
i.e.
[tex]q\times a+q\times y=67y+93\\\\i.e.\\\\qa+qy=67y+93[/tex]
Now, we combine the terms of y at one side of the equation and the other terms to the other side.
i.e.
[tex]qy-67y=93-qa\\\\i.e.\\\\(q-67)y=93-qa\\\\i.e.\\\\y=\dfrac{93-qa}{q-67}[/tex]
What is the value of r? 5+r−2=9
The value of r in a solution of the expression 5 + r - 2 = 9 is,
⇒ r = -6
Given that,
A mathematical expression is,
⇒ 5 + r - 2 = 9
Now, simplify the expression by combining like terms as,
⇒ 5 + r - 2 = 9
⇒ 3 - r = 9
Add r on both sides,
⇒ 3 = 9 + r
Subtract 9 on both sides,
⇒ 3 - 9 = r
⇒ - 6 = r
Therefore, the solution of the expression is,
⇒ r = -6
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The following sequence is arithmetic. 18, 11, 4, -3, -10, -17….
True
False
I can't study this because keystones makes you take the quiz before giving instructions.
The statement "The following sequence is arithmetic. 18, 11, 4, -3, -10, -17 is True.
To determine if a sequence is arithmetic, one must check if there is a common difference between consecutive terms. The common difference (d) can be found by subtracting any term in the sequence from the term immediately following it.
Let's calculate the common difference for the given sequence:
- For the first two terms: (11 - 18 = -7)
- For the next two terms: (4 - 11 = -7)
- For the following two terms: (-3 - 4 = -7)
- And for the last two terms provided: (-10 - (-3) = -10 + 3 = -7)
Since the difference between each pair of consecutive terms is constant and equal to \(-7\), this confirms that the sequence is indeed arithmetic. Therefore, the statement is True.
If all marbles in a bag are red, and all red marbles weigh 3oz, then all 3oz marbles are red. true or false?
Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.
Non-random sampling is less likely to result in a representative sample than random sampling. select one:
a. True
b. False
Which term describes a person's previous pattern of borrowing and repaying?
a blue print for a house has a scale of 1:35 in in a wall in the blue print is 3 inches what is the length in feet
The product of two positive even numbers is 168. What are the numbers? A) 12 and 14 B) 16 and 18 C) −12 and −14 D) −16 and −18
Help please . Thank you
Write an inequality to model the situation. a number exceeds 9.
Answer:
n ≥ 9
Step-by-step explanation:
The _____ of a cone is the curved surface that connects the base of a cone to the apex of the cone.
The lateral surface of a cone is the curved surface that connects the base of a cone to the apex of the cone.
The lateral surface of a cone refers to the curved surface area that connects the base of the cone to its apex (the pointed top).
It forms the sloping sides of the cone.
In a cone shape, the base is a circle, and the lateral surface is the part that wraps around the sides to meet at the apex.
This surface does not include the base or the tip of the cone. It is only the curved part that connects the two.
The lateral surface area of a cone can be calculated using the formula A = πrl, where A represents the lateral surface area, r is the radius of the base of the cone, and l is the slant height, which is the distance from the apex to any point on the edge of the base.
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If you start with an integer and , subtract -85 ,add -57 ,subtract 68, add -77,add 55 and subtract-73 the result is 0. Find the integer that you start with
use mental math to solve 4576 + 2842
which expression shows how 6x45 can be rewritten using the distributive property
List the steps to construct parallel lines using a compass and straightedge.
List the steps to construct parallel lines using a drawing program.
List the steps to construct perpendicular lines using a compass and straightedge. List the steps to construct perpendicular lines using a drawing program.
1. To construct parallel lines, first, you must start with a line segment AB that well copies. Mark another point called C. Set the compass to the point A and adjust the compass to the width of the original line. Then without moving the compass, put it on point C and mark the end and label it D. Use a straightedge to connect the points and now you’ve copied a line segment.
2. First, you click the line and make a line segment. Then make a separate point anywhere. Then you double-click perpendicular lines and click parallel lines. Click and drag the line segment onto the separate point.
3. First, you start with a point on a line. Then you put your compass on the point and mark an arc on each side of the line and put points on them. Then you put the compass on one of the points and make an arc above the original point. Do the same for the other side. You should end up with 2 X’s on top and bottom of the original point. Then mark points on the Xs. Finally, use a straight edge to connect the two X’s which will make a bisecting line through the original.
4. First, you make a line and click perpendicular lines and you will have a straight line cutting through the original.
Answer:
Step-by-step explanation:
if the discriminant of an equation is zero, which of the following is true of the equation?
a. it has one real solution
b. it has two complex solutions
c. it has two real solutions
d. it has one complex solution
If the discriminant of an equation is zero, then the correct statement amongst given statement is:
a. It has one real solution
Step-by-step explanation:We have three cases of discriminant--
If the discriminant of the equation is strictly greater than zero then the equation has two real solutions.If the discriminant is equal to zero then it has one real solution.and if the discriminant is strictly less than zero then the equation has 0 real solutions i.e. both the solutions of the equation are complex.
In which area did the French find the most success?
Shipbuilding
Fur trade
Lumber industry
Agriculture
At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two small fries have a total of 1,330 calories. How many calories does each item contain? Create two equations to model this situation using X and Y for your variables. Use a comma to separate your equations.
A cheeseburger contains 290 calories and a small fries contains 230 calories.
Explanation:Let X be the number of calories in a cheeseburger, and Y be the number of calories in a small fries.
From the given information, we can create two equations:
4X + 5Y = 23103X + 2Y = 1330To solve this system of equations, we can use substitution or elimination. Let's use elimination:
Multiply equation 1 by 3 and equation 2 by 4 to eliminate the X term:12X + 15Y = 693012X + 8Y = 5320Subtract the second equation from the first equation:12X + 15Y - 12X - 8Y = 6930 - 53207Y = 1610Divide both sides by 7:Y = 230Substitute the value of Y into either equation and solve for X:3X + 2(230) = 13303X + 460 = 13303X = 870X = 290Therefore, a cheeseburger contains 290 calories and a small fries contains 230 calories.
7x-4y=3y-14 solve for y
MATH HELP > WILL AWARD BRAINLIEST
The graph below shows the graphs of the linear function y=7x and the exponential function y=7^x
True or False: The growth rate of the exponential function exceeds the growth rate of the linear function for 1
Answer: True.
Step-by-step explanation:
Given: The graph below shows the graphs of the linear function y=7x and the exponential function [tex]y=7^x[/tex]
Both of the function have same value of rate =7
But in linear function y=7x , 7 is the constant of proportionality.
In exponential function [tex]y=7^x[/tex], 7 is the multiplicative rate of change.
For [tex]1\leq x\leq 3[/tex]
For y=7x ,
x y
1 7
2 14
3 21
For [tex]y=7^x[/tex]
x y
1 7
2 49
3 343
Thus, we can see the growth rate of the exponential function exceeds the growth rate of the linear function for [tex]1\leq x\leq 3[/tex].
Answer:
D
Step-by-step explanation:
Just took test on it
I don't understand this :((
15b - 10c - 10b + 5=
Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. she starts by assigning coordinates to a rectangle as shown. then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.
The solution for the problem is:
d(S,P) = √(0-0)^2
+ √(b-0)^2
d(S,P) = √b^2
d(S,P) = b
so we know that, SP = b
d(P, Q) = √(a-0)^2 + √(b-b)^2
d(P, Q) = √a^2
d(P, Q) = a
so
PQ = a
SQ = c^2 = a^2 + b^2
SQ = √(a^2 + b^2)
Therefore, the answer is √(a^2 + b^2).
Proof of the congruence of the diagonals of a rectangle involves the distance formula stemming from the Pythagorean theorem and can be shown using specific coordinates. Comparing areas of squares uses the squares of the side lengths which simplifies to ratios.
Explanation:The lengths of the diagonals of a rectangle can be found using the distance formula, which is derived from the Pythagorean theorem. To prove the diagonals are congruent, coordinates are assigned to the vertices of the rectangle and the distance formula is applied to both diagonals. If the rectangle is placed with one corner at the origin and sides along the axes, then this process is further simplified as one can use the differences in x-coordinates and y-coordinates directly.
If we have a rectangle with vertices at coordinates (0,0), (a,0), (a,b), and (0,b), the diagonal lengths can be found by using the distance formula: the diagonal between (0,0) and (a,b) would have a length of √(a² + b²), and the diagonal between (a,0) and (0,b) would also have a length of √(a² + b²), proving that they are congruent. Additionally, when comparing areas using ratios, one simply needs to compare the squares of the lengths of respective sides, as the area of a square is the square of its side length.
On scrap paper, determine if the triangle with the following vertices is a right triangle.
A(-3, 5), B(1, 4), and C(-1, 0).
in the box below, tell whether or not the triangle is a right triangle. Explain how you arrived at your answer.
Answer:
not a right triangle
Step-by-step explanation:
The slope of AB is -1/4; the slope of BC is 2. These are not negative reciprocals of one another.
Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?
f(x) = –3x – 6
f(x) = –3x – 4
f(x) = –3x + 16
f(x) = –3x + 14
answer asap
The linear function represents the line given by the point-slope equation y + 1 = –3(x – 5) is f(x) = -3x + 14.
What is point-slope equation?"In a Point-slope form it is likely to be y - y1 = m(x - x1). This form of a linear equation is derived from a equation for finding the slope of a line."
Given
The point-slope equation y + 1 = –3(x – 5)
By solving the above equation
y + 1 = -3x + 15
⇒ y = -3x + 15 - 1
⇒ y = -3x + 14
Replace y with f(x)
⇒ f(x) = -3x + 14
Hence, the linear function represents the line given by the point-slope equation y + 1 = –3(x – 5) is f(x) = -3x + 14.
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