Answer:16 minutes
Step-by-step explanation:
64 errors / 8 errors = 8
8 x 2 minutes = 16 minutes
A board game is played by moving a counter S space forward at a time, where S is determined by the following rule: A fair six-sided dice is thrown once. S is half the number shown on the dice if that number is even; otherwise S is twice the number shown on the dice.
1. Write out a table showing the possible value of S and their possibilities.
2. Find the probability that, in a single turn, a player moves their counter forward more than 2 spaces.
The table showing the possible value of S and their possibilities is attached below,
The probability that a player moves their counter forward more than 2 spaces is 0.5.
The Probability is the ratio of favorable outcomes to total number of outcomes. The probability of an event must be less than 1 as the sum of all probabilities of events is equal to 1.
Here, If the number on the dice is even, S is half that number; if it is not even, S is double that amount. The table showing the possible value of S and their possibilities is attached below,
Now, finding the probability that a player moves their counter forward more than 2 spaces,
As seen from the table, the number of favorable outcomes where the player moves the counter more than 2 spaces is 3.
The total number of outcomes is 6. so, the probability will be,
Probability [tex]=\frac{3}{6}[/tex]
[tex]=\frac{1}{2} \\\\=0.5[/tex]
Hence, the probability that a player moves their counter forward more than 2 spaces is 0.5.
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I'm not sure I need help.
Answer:
A
Step-by-step explanation:
It is perpendicular because it forms a right angle with the second line
please help! i dont knnow what to do
Answer: g= 61/5 or 12.2
Step-by-step explanation:
Find the inequality represented by the graph
The inequality represented by the graph is y ≥ -x + 2
How to find the inequality the graph representsA graph is a pictorial representation of data and the graph presented represents inequality data
The graph shows a linear function written in the form
y = mx +c
where slope, m calculated as
c = intercept
x = input variables
y = output variables
calculation of slope
The points used for the slope is gotten from the graph as (0. 2) (1, 1)
m = (y₂ -y₁) / (x₂ - x₁)
substituting the values
= ( 2 - 1 ) / ( 0 - 1 )
= 1 / -1
= -1
y intercept, c this is a point where the graph cuts the y axis
c = 2
The graph contains a solid line as result there will be "equal to" attached to the inequality symbol usedshading above the line means greater thanThe two points result greater than or equal to written with the symbol ≥
hence the equation is
y ≥ -x + 2
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one serving of wheat square cereal has 11 grams of fiber, which is 32% of the recommended daily amount. what is the total recommended daily amount of fiber? round your answer to the nearest tenth if necessary.
Using the principle of proportional relationship, the total recommended daily amount of fiber is 34.4 grams
Let x be the recommended daily amount ( in grams ) of the fiber,
So, 32% of x = [tex]\frac{32}{100}x[/tex] = 0.32x
According to the question,
11 grams is 32% of the recommended daily amount of fiber,
That is, 0.32x = 11
x = 11/0.32 = 34.4 grams
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in order to estimate attendance at a music festival, management counts the number of people entering the admissions gate in a 30-minute sample time. management assumes that there is a steady stream of people entering the festival for the 10 hours that the admissions gate is open. at a particular music festival, 2,250 people were counted entering the gate in a 30-minute sample time. what was the estimated attendance at this festival?
Answer:
45,000
Step-by-step explanation:
Given a 30 minute sample of a constant stream shows 2250 people entered the gate, you want an estimate of the total number of people through the gate in 10 hours.
AttendanceA half-hour period is 1/20 of the 10-hour period the gate was open. The rate is assumed constant, so the 2250 people entering in that half-hour period is presumed to be 1/20 of the total attendance.
20 · 2250 = 45000
The estimated festival attendance is 45,000 people.
Solve for
x
xx.
x
=
x=x, equals
Two triangles A B C and A D E. Triangle A B C is on top of Triangle A D E at point A. Side A C is smaller than A E and side A B is smaller than side A D. Side C B has a length of three. Side E D has a length of x. Side A B has a length of nine. Segment B D has a length of six. Angle A B C and A D E are both ninety degrees.
A
A
E
E
D
D
B
B
C
C
9
9
3
3
6
6
x
x
The ΔABC placed on top of ΔADE, and having angles ∠ABC and ∠BAC congruent to ∠ADE and ∠DAE in ΔADE is similar to ΔADE. The side CB is 3 indicating that the side ED, which has a length of x = 5
What are similar triangles?Similar triangles are triangles that have similar (the same shape), such that one triangles has side lengths that are a constant multiple of the other.
Please find attached a possible drawing that is based on the parameters of the question
From the question and the drawing created with MS Word, we have;
Length of AB = 9
Side CB = 3
Segment BD = 6
∠ABC = ∠ADE = 90°
∠ABC ≅ ∠ADE by definition of congruency
From the drawing, ∠BAC ≅ ∠BAC by reflexive property of equality
Triangle ΔBAC is similar to triangle ΔDAE by AA similarity postulate
Segment AD = Segment AB + Segment BD by segment addition postulate
AD = 9 + 6 = 15
The pair of corresponding sides of similar triangles are proportional, therefore;
[tex]\dfrac{\overline{AB}}{\overline{AD}} = \dfrac{\overline{BC}}{\overline{DE}}[/tex]
Which gives;
[tex]\dfrac{9}{15} = \dfrac{3}{x}[/tex]
9 × x = 15 × 3 = 45
x = 45 ÷ 9 = 5
The length of side ED, x = 5
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Answer: 12
Step-by-step explanation: Because 9 x 2 is 18, and 7 x 2 is 14, we want to multiply 6 by 2. This gives us the answer 12.
9 x 2 = 18
7 x 2 = 14
6 x 2 = 12
The measure of two remote interior angles of a triangle are x - 10 and 4x + 4 The exterior angle of the triangle measures 3x + 54 Solve for the measure of the exterior angle .
The measure of the exterior angle of the triangle is 144 degrees.
How to solve angles of a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Therefore, the measure of the two remote interior angles of a triangle are x - 10 and 4x + 4. The exterior angle of the triangle measures 3x + 54 .
Let's solve for the exterior angle.
x - 10 + 4x + 4 = 3x + 54
5x - 6 = 3x + 54
5x - 3x = 54 + 6
2x = 60
x = 60 / 2
x = 30
Therefore,
exterior angle = 3x + 54 = 3(30) + 54 = 90 + 54 = 144 degrees
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The difference between five-halves of a number
and 17 is 48.
The required expression is: [tex]| 17 - \frac{5}{2}x|[/tex] = 48
What are algebraic expressions ?An algebraic expression (or) a variable expression is a aggregate of phrases through the operations together with addition, subtraction, multiplication, division, etc. For instance, allow us to have a study the expression 5x + 7. Thus, we will say that 5x + 7 is an instance of an algebraic expression.
CalculationWords can be expressed algebraically.
The algebraic expression is: [tex]| 17 - \frac{5}{2}x|[/tex] = 48
Let the number be x.
Five-halves of x is: 5/2x
So the difference between and 17 is:
5/2x - 17 = 48 or 17 - 5/2x = 48
Combine both expressions
[tex]| 17 - \frac{5}{2}x|[/tex] = 48
Hence, the required expression is: [tex]| 17 - \frac{5}{2}x|[/tex] = 48
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If you translate the square root parent function up three units, and reflect it across the x-axis, what is the equation of the new function?
The equation the function after the transformation is (c) g(x) = -√x - 3
How to determine the transformation of the function?The equation of the function is given as
f(x) = √x ---- i.e the square root parent function
The sequence of transformations is given as follows:-
Translate up by 3 unitsReflection across the x-axisWhen the above transformations are combined, we have:
Translate up by 3 units: g(x) = f(x) + 3
Reflection across the x-axis: g(x) = -(f(x) + 3)
So, we have
g(x) = -(√x + 3)
Expand
g(x) = -√x - 3
Hence, the function g(x) is (c) g(x) = -√x - 3
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Find the value of x. 50 points
Answer:
x = 53°
Step-by-step explanation:
Forming the equation,
→ x + (2x + 21°) = 180°
Now the value of x will be,
→ x + (2x + 21°) = 180°
→ 3x = 180° - 21°
→ x = 159°/3
→ [ x = 53° ]
Hence, the value of x is 53°.
2) What is the slope of the line from the following table? (Please show your work)
Answer:
pick any two points
im going to chose (1,3) and (3,7)
so the equation y2-y1/x2-x1
1 = x1
3=y1
3=x2
7=y2
so 7-3/3-1 is 4/2
which is 2
find the surface area of a rectangle prism that has the following deminsions.
length : 2ft
width : 14in
height : 11in
surface area : in 2
Answer:
SA(surface area) of the rectangular prism is 1,510 in inches
Step-by-step explanation:
SA=2(lh+lw+hw)
2inch=24ft
lh=264
lw=336
wh=154
755*2=1,510
(6,10)
(a,8)
(4,b)
(2,2)
What are the values of a and b?
a=
b=
Answer:
Step-by-step explanation:
Put the value of a in equation 2. b² = 6² + a². b² = 36 + (81 / 4 ). b = √(225 / 4). b = 15 / 2. Therefore, the value of a and b will be 9.
Plot these points of graph f(x)= -(x-5)^2+5 that correspond to x-values 3 and 4. Plot the vertex and reflections of these points in axis
Answer:
On the attached graph
Step-by-step explanation:
See attached graph
5x - 4 ≥ 4x + 3 or 9 + 4x2-1 + 9x
Answer:
9x3
Step-by-step explanation:
x+9
/4
9x=8
x=2
+2=4
x=1+4234
please help. To convert to degrees Fahrenheit, use the formula F=95C+32, where C is the degrees in Celsius. Which is the first step to solve for Celsius if the temperature is 70 °F?
What fraction of their goal did the sixth graders reach after day 2? day 4? day 6? day 8? day 10?
The fractions of sixth graders that reached their goal after each day are given as follows:
Day 2: 1/4.Day 4: 1/3.Day 6: 1/2.Day 8: 2/3.Day 10: 3/4.What is a fraction?A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:
Fraction = x/y.
In which the technical terms related to x and y are as follows:
x, which is the top term of the fraction, is the numerator.y, which is the bottom term of the fraction, is the denominator.The fraction can be represented by bars, in which:
The number of painted bars is the numerator.The total number of bars is the denominator.As shown by the image at the end of the answer, the fractions are given as follows:
Day 2: 1 out of 4 bars painted, hence the fraction is of 1/4.Day 4: 1 out of 3 bars painted, hence the fraction is of 1/3.Day 6: 1 out of 2 bars painted, hence the fraction is of 1/2.Day 8: 2 out of 3 bars painted, hence the fraction is of 2/3.Day 10: 3 out of 4 bars painted, hence the fraction is of 3/4.Missing InformationThe image is given at the end of the answer.
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If f(x) = e¹/x then f(x)=
The derivative of f(x) is option A.
What is derivative?
The instantaneous pace at which one quantity changes in relation to another is referred to as a derivative in mathematics.
Main Body:
Since the derivative of [tex]e^{x}[/tex] is just [tex]e^{x}[/tex] , application of the chain rule to a composite function with [tex]e^{x}[/tex] as the outside function means that:
[tex]\frac{dy}{dx} (e^{f(x)} )= e^{f(x) }.f'(x)[/tex]
Now the derivative of 1/x = [tex]\frac{-1}{x^{2} }[/tex]
Hence derivative of f(x) = [tex]-e^{\frac{1}{x} } /x^{2}[/tex].
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i need solving this problem
The percentage statement 28 is 35% of 80 is written in the form
a/b = p/100 as 28/80 = 35/100.
Explain the term percentages?A ratio or value that can be stated as a fraction over 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its total and then multiply it by 100.The proportion usually applies to a component per hundred. Per 100 refers to what the word percent means.For the given question.
The statement defining the percentage is ;
28 is 35% of 80.
This can be written as;
35% of 80 = 28
Solve percentage.
35×80/100 = 28
35/100 = 28/80
Or,
28/80 = 35/100
This is the form
a/b = p/100
a = 28
b = 80
p = 35
Thus, the percentage statement 28 is 35% of 80 is written in the form
a/b = p/100 as 28/80 = 35/100.
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P=2l+2w. Solve the formula for w in terms of P and l
The formula for w in terms of p and l is w = (p - 2l)/2
What is an expression?Numbers, symbols and operators grouped together that show the value of something.
Given that, an expression p = 2l + 2w
Solving for w, we get,
w = (p - 2l)/2
Hence, The formula for w in terms of p and l is w = (p - 2l)/2
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Why is every rhombus a parallelogram but not every parallelogram is a rhombus? Why is every square a rectangle but not every rectangle is a square? Why is every square a rhombus but not every rhombus
square?
A rhombus is a parallelogram because the opposite sides are parallel but every parallelogram is not a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.
We need to identify the properties of the given figure in order to answer why one figure can not be the other one:
A rhombus has all sides equal as well as parallel but all angles might not be right angles.
A square has all four sides equal and has 4 right angles.
A rectangle has equal opposite sides and 4 right angles.
A parallelogram has opposite parallel sides.
Hence, a rhombus can be a parallelogram because the opposite sides are parallel but every parallelogram can not be a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.
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how many different two-letter initials can people have using the upper case characters in the english alphabet?
The different two-letter initials can people have using the upper case characters in the English alphabet is 676 (if no specifications are given)
The question has not specified other conditions so we have assumed it by cases and solved it
Case 1 -
“Everything” allowed, means that we are considering solutions like “AA” and “BA, AB”
If this is the case then there are => 26 x 26 = 676 Combinations,
Case 2-
No repetition allowed
Here, we are excluding cases like “AA, BB” etc so here we have
26 x 25 = 650 as our answer
Case 3-
no repetition allowed + unique set every time, So
here we will have ²⁶C₂ (this is basic combinatorics formula )
= (26 x 25)/2
= 325 combinations possible
Case 4 -
Repetition allowed + unique set every time
here we will assume along with the uniqueness of each combination we will add Repeated combinations, Here we have “AA, BB, CC,……..ZZ” 26 new combinations along with unique ones So,
²⁶C₂+ 26 = 325 + 26 = 391 possible cases.
and I would recommend adding more detail to your question specifying the conditions in a better way, but the technically correct answer to your questions if no conditions are CASE 1.
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Bloomington University charges $53,730 for tuition. If they raise their tuition by 8% each
year, how much will tuition be in 2 years?
If necessary, round your answer to the nearest cent.
$
E
If your weekly salary is $1,015.00, how much do you have left each week after you pay for the following? Rent - $443.50 Cable TV -$23.99 Electricity - $45.62 Groceries - $124.87 ?
(need explanation.)
aisha wants to buy apples and raspberries to make a fruit tart. apples cost $3 per pound and raspberries cost $2.75 per pound. how many pounds of fruit does she buy if she buys 3 pounds of apples and 2.5 pounds of raspberries? how many pounds of fruit does she buy if she buys xx pounds of apples and yy pounds of raspberries?
Answer:
6.4
Step-by-step explanation:
I guessed and got it right.
Two friends, Bo and Daniel, had just bought their first cars. The equation y = 31.5x
represents the number of miles, y, that Daniel can drive his car for every x gallons of
gas. Bo uses 9 gallons of gas to drive 256.5 miles in his car.
By using a linear equation, it is obtained that
Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =
3 miles
What is linear equation?
At first, it is important to know about equation.
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The equation y = 31.5x represents the number of miles, y, that Daniel can drive his car for every x gallons of gas
Distance driven by Daniel in 1 gallon of gas = [tex]31.5 \times 1 = 31.5 \ miles[/tex]
Bo uses 9 gallons of gas to drive 256.5 miles in his car.
Bo uses 1 gallon of gas to drive [tex]\frac{256.5}{9}[/tex] miles in his car.
Bo uses 1 gallon of gas to drive 28.5 miles in his car.
Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =
31.5 - 28.5 = 3 miles
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Complete Question
The complete question has been attached here.
state how the 2 triangles are congruent? SSS AND SAS!! hello!!!
Answer:
SAS
Step-by-step explanation:
We now that 2 sides are congruent because of the congruent marker, and the bases of the triangles are the same, meaning they are congruent. And we also have a congruent pair of angles. So we can tell if they are congruent by using the SAS theorem.
-Hope this helped
There are 16 questions on a test. Karen got 4 wrong. What percent did she get right?
Suppose g(x) = f(x + 2) - 3. Which statement best compares the graph of g(x)
with the graph of f(x)?
• A. The graph of g(x) is shifted 2 units left and 3 units up.
• B. The graph of g(x) is shifted 2 units right and 3 units down. 3
• C. The graph of g(x) is shifted 2 units right and 3 units
up.
• D. The graph of g(x) is shifted 2 units left and 3 units down.
We deduce that g(x) = f(x - 2) + 3 denotes a 2-unit right and 3-unit up in the graph of g(x). The best choice is C.
Describe a graph.A diagram that shows how a variable varies in relation to one or more other variables, such as a collection of points, lines, line segments, curves, or regions.
Right-shift a function
Inside the function's argument, subtract. For instance, is essentially moved b units to the right.
You go to the right while subtracting from the parameter of the function.
Accordingly, f(x) is moved two units to the right in g(x) = f(x - 2).
also to advance a function
Outside of the function, add. For instance, is essentially shifted up units.
G(x) = f(x - 2) + 3 hence says that f(x) is shifted up by 3 units.
Overall, then, using two transformations, we deduce that g(x) = f(x - 2) + 3 denotes a 2-unit right and 3-unit upswing in the graph of g(x).
Therefore, choice C is right.
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