The experimental probability of rolling a 9 is 1/3 or approximately 0.333.
How to find the experimental probability of rolling a.
The experimental probability of rolling a 9 can be found by dividing the number of times a 9 was rolled by the total number of rolls:
Experimental probability of rolling a 9 = Number of times a 9 was rolled / Total number of rolls
In this case, the number of times a 9 was rolled is 26, and the total number of rolls is 78. Therefore:
Experimental probability of rolling a 9 = 26/78 = 1/3
Therefore, the experimental probability of rolling a 9 is 1/3 or approximately 0.333.
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John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only 8 miles per hour. The route John traveled yesterday took him 1.5 hours. How long was the route?
Answer:
15 miles
Step-by-step explanation:
Speed of John biking = 10 miles per hour
Time taken by John to travel the route = 1.5 hours
We know that
distance = speed * time
now that we know time and speed for John
we can distance by using the above formula
distance = 10 miles per hour* 1.5 hour = 15 Miles
Thus, the route was 15 miles long.
Answer:
15 miles
Step-by-step explanation:
1. Explain why the measure of angle ECF is 19 degrees. If you get stuck, consider
translating line l by moving B to C.
2. What is the measure of angle BCD? Explain.
Answer:
1). Corresponding angles
2). Vertical angles
Step-by-step explanation:
1). Lines 'k' and 'l' are the parallel lines and line 'm' is a transverse.
Since m∠ABC = 19°
Therefore, m∠ECF = 19° [Corresponding angles]
(By translating line 'l' from the points B to C, angle ABC overlaps angle ECF)
2). Since, ∠ECF and ∠BCD are the vertical angles they will be equal in measure.
Therefore, m∠ECF = m∠BCD = 19°
Given that (9,-1) is on the graph of f(x) , find the corresponding point of the function f(x)+5
Answer:
(9, 4).
Step-by-step explanation:
To find the corresponding point of the function f(x)+5 when (9,-1) is on the graph of f(x), we simply add 5 to the y-coordinate of the point.
If (9,-1) is on the graph of f(x), then the corresponding point on the graph of f(x)+5 would be (9, -1+5), which simplifies to (9, 4).
Therefore, the corresponding point of the function f(x)+5 is (9, 4).
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Are all intersecting lines perpendicular? Draw a picture to help explain your answer
Not all intersecting lines are perpendicular.
What are perpendicular lines?Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.
Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.
As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.
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Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius.
Answer:
Before cooling begins, the temperature of the water is 22°C.
Step-by-step explanation:
need steps??
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|w| + 19 < 14
the solution is: \(w < -5\) . Since all real numbers are either less than or greater than \(-5\) , the solution set for this inequality is "All reals".
What is the parameter for the real number?To solve for w in \(w + 19 < 14\) , we need to isolate w on one side of the inequality.
This means that any value of w that is less than \(-5\) would make the inequality true.
For example, \(w = -6\) is a solution because \(-6 + 19 < 14.\) Likewise, any value of w that is greater than or equal to -5 would make the inequality false. For example, \(w = -5\) is not a solution because \(-5 + 19 = 14\) .
Subtracting 19 from both sides of the inequality, we get:
\(w + 19 - 19 < 14 - 19\)
\(w < -5\)
Therefore, the solution is: \(w < -5\) . Since all real numbers are either less than or greater than \(-5\) , the solution set for this inequality is "All reals".
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Slope of -1 through point (3,-1)
Answer:
Step-by-step explanation:
Y axis of y
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1/4 gallons. Who sold more lemonade, Ethan or Kayla? How much more ?
Rewrite 1 1/4 as an improper fraction:
1 1/4 = 5/4 gallons.
Rewrite both fractions with a common denominator:
2/3 = 8/12
5/4 = 15/12
Subtract the amount Ethan sold from total:
15/12 - 8/12 = 7/12
Kayla sold 7/12
This means Ethan sold more, because 8/12 is more than 7/12
The height of the tank is 11 m and the radius of the tank is 5 m. the height of the water is 6 m and the radius of the water is 3 m. how much more water in cubic meters could you fit in the tank?
Answer:
221 cubic metre.
Step-by-step explanation:
Volume of water in tank (v) = π × {3}^{2} × 6
= 54π cubic metre
Volume of tank (v') = π × {5}^{2} × 11
= 275π cubic metre
More Water that can be fit in the tank = v' - v
=275π - 54π
= 221π cubic metre.
ANS.
Complete a piecewise defined function that describes the graph.
The piecewise function that defines the graph is given as follows:
y = x + 1, x < -2.y = -6, x = -2.y = 5, -2 < x ≤ 1.How to define the piecewise function?A piecewise function is a function that has different definitions, according to the input values assumed by the function.
The different definitions for the function in this problem are given as follows:
Left of -2: x < -2.x = -2.Left of x = -2 to x = 1: -2 < x ≤ 1.To the left of x = -2, the function is increasing with a slope 1, hence it would cross the y-axis at y = 1, and the definition is given as follows:
y = x + 1, x < -2.
At x = 2 and between x = -2 and x = 1, the function is constant.
Missing InformationThe piecewise function is given by the image presented at the end of the answer.
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The width of a rectangle is 4 meters less than its length, and the perimeter is 51 meters. Find the length and width of the rectangle.
The dimensions of the rectangle are:
Length = 14.75 m
Width = 10.75 m
What is the Perimeter of a Rectangle?The total length of a rectangle is gotten by adding all it's side lengths together. The formula for the perimeter of a rectangle is given as:
Perimeter = 2(length+ width).
The dimensions for a rectangle is given as:
Perimeter = 51 meters
Length of rectangle = L meters
Width of rectangle = (L - 4) meters.
Therefore:
2(L + (L - 4)) = 51
2(L + L - 4) = 51
2(2L - 4) = 51
4L - 8 = 51
4L = 51 + 8
4L = 59
L = 59/4
L = 14.75
Length of rectangle = 14.75 m
Width of rectangle = (L - 4) = 14.75 - 4 = 10.75 m
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what would be the ° from SQT
Answer:
79°
Step-by-step explanation:
Line pu is a straight line meaning it has a measure of 180°.
37+34+30=101
180-101=79
Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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Which choice is equivalent to the expression below?
√-81
A. √9i
B. i√9
C. 9i
D. -9
E. -√9
Answer:
Step-by-step explanation:
Remark
√-81 breaks down to two roots
√81 = 9√-1 = iSolution
√-81 = i9
Answer
C
If p is a true statement and q is false, then pv g is true.
True
False
If you meant to say \(p \vee q\), then that statement is true.
This is a disjunction which is an "or" statement. If either p or q is true, then overall \(p \vee q\) is true. So the only time it's false is when both p and q are false together.
Answer: Trueround 854,729 to the nearest thousand
Answer:
855,730
Step-by-step explanation:
Answer: 855,730
Step-by-step explanation:
what three numbers give you 206 when multiplied
Answer:
1, 1, 206.Step-by-step explanation:
There are nothing else that can multiply to get to 206, so this is the answer.
Solve:
1 * 1 * 206= 1 * 206= 206.This is the only equation that can make 206 with 3 numbers.
Evaluate the expression 2(4+62)−20÷4 and type your answer in the box. HELP PLEASE!
Answer:
The answer would be 127
Step-by-step explanation:
4+62=66
=2\cdot \:66-20\div \:4
2\cdot \:66=132
=132-20\div \:4
20\div \:4
20\div \:4=5
=132-5
132-5=127
=127
hope this helped !
Answer:
2(4+62)-20/4
2x66-20/4
2x66-5
132-5
=127
Step-by-step explanation:
•You start with Parentheses first which is 4+62=66
•Then do division which is 20/4=5
•you put everything together 2x66-5
• Multiply 2x66=132 then subtract that by 5 and you get 127 as your final answer
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Stanley deposits $1,000 into a savings account that pays 1% interest for a year at the end of the first year he's earned $10 in interest and there is $1,010 in the account. if the account has simple interest the 1% interest you or two would be based off of what if the account has corresponding interest to 1% interest year at 2 would be based off of what?
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
Class: Algebra 2
I need help with these Natural Logarithms problems!!!!!
I will give lots of points!!!!
The solutions are: x = ln(2) for 2eˣ = 4, x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.
Solving equations using natural logarithmTo solve these equations using natural logarithm, we can use the following rules:
If a = eᵇ, then b = ln(a).If ln(aᵇ) = b ln(a).Using these rules, we can solve the given equations as follows:
2eˣ = 4
Divide both sides by 2 to get
eˣ = 2.
Take the natural logarithm of both sides to get
ln(eˣ) = ln(2).
Using rule 1 above, we can simplify ln(eˣ) to x, and we get
x = ln(2).
e⁴ˣ = 25
4x = ln(25).
Divide both sides by 4 to get
x = ln(25)/4.
eˣ = 72
Take the natural logarithm of both sides to get
x = ln(72).
e³ˣ = 124
Take the natural logarithm of both sides to get
3x = ln(124).
Divide both sides by 3 to get
x = ln(124)/3.
For the second set of equations, we use the same rule as above
So, we have
ln(x - 3) = 2
x - 3 = e²
x = e² + 3.
x ≈ 10.389.
Therefore, the solution is x ≈ 10.389.
ln(2t) = 4
2t = e⁴
t = 0.5 * e⁴
t ≈ 27.299.
Therefore, the solution is t ≈ 27.299.
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What is the pattern in the values as the exponents increase?
as the exponents increase, the value is multiplied by 2
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Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet
Answer:
2.5 feet
Step-by-step explanation:
20/8=2.5
A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately Select one: A. normal because is always approximately normally distributed B. normal because the sample size is small in comparison to the population size C. normal because of the central limit theorem D. None of these alternatives is correct.
Option ( C ) normal because of the central limit theorem is the correct option .
I central limit theorem (CLT) states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size (n), and regardless of the population's actual distribution shape.
Putting it on another way, CLT is a statistical premise that, given a sufficiently large sample size from a population with a finite level of variance, the mean of all sampled variables from the same population will be approximately equal to the mean of the whole population. Further more, these samples approximate a normal distribution, with their variances being approximately equal to the variance of the population as the sample size gets larger.
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a bank teller has 340 one hundred dollar bills. how much money does the bank teller have?
Answer:
$34,000
Step-by-step explanation:
Since a one hundred dollar bill is equal to 100, we simply multiply 340 and 100 together:
340(100) = 34000
Evaluate the expression for f = –87 and g = 60.
g − |f| =
Answer:
60 - 87 = -27
Step-by-step explanation:
Hi! First when we have these problems, we always switch in the values.
60 - |-87| = ?
The absolute value is just how many places the number is away from 0 on the number line. (For example, |-4| is 4 away from 0 on the number line, so the absolute value of -4 is 4.)
60 - 87 = 27
Hope this helps!
tyler owens his dad $10. he borrows another$7 if he get paids $20 for moving lawns will he still be in debt
Answer:
no he will not be in debt anymore