2. The letters from the word MATH are placed in a hat. What is the probability that you select an A when you are choosing a letter without looking? A. What is asked in the problem? 8. What are the given numbers? What operation will you use? D What is the mathematical sentence? E What is the answer to the problem? V. A
Answers
The probability of getting M from the word MATH placed in hat is 0.25.
Probability is defined as the ratio of the number of favorable results to the total number of elements of an event.
P= number of favorable outcomes / total number of outcomes of an event
A. The problem is the probability of finding A
B. The given are MATH i.e. {M,A,T,H}
C. the operation used will be selecting a word from hat of word MATH
D. the mathematical statement from the probability of finding M will be
P(getting M from word MATH)
E. the answer to the problem will be calculated as
no. of element in the hat=4 i.e. {M,A,T,H}
no. of favorable outcomes= 1 i.e. {A}
P(getting A from word MATH) = number of favorable outcomes/ number of total outcomes
⇒ P(getting A from word MATH) = 1/4
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Related Questions
What is the measure of m? 6 3 n 18 m = [?] Give your answer in simplest form. Enter
Answers
By solving a system of equations, we will see that m measures 12 units.
How to get the measure of m?
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
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If two angles are supplementary, and the angle measurements are in the ratio 3:1, what is the measure of the smaller angle?
Answers
Answer:
The measure of smaller angle = 45°
Step-by-step explanation:
Finding the unknown angle
Ratio of the supplementary angles = 3 :1
The angles are 3x , x
Supplementary angles add up to 180°
3x + x = 180
4x = 180
x = 180 ÷ 4
x = 45°
3x = 3*45 = 135°
the answer to this is 40=
Step-by-step explanation:
I did this
What is the distance formula?
OA. √y₂-y₁)2-(x2-x2)2
OB. √(x₂+x1)²-(y₂+y₁)2
OC. √x₂-x₁)+(y₂-y1)
OD. √(x₂-x1)²+(y₂-y₁)2
Answers
Will always be x2 and y2 starting off
Which statement describes how the graph of the given polynomial would change if the term -3x^6 is added?
y=2x^6+9x^5-7x^3-1
Answers
The correct answer will be option B which is the ends of the graph will extend in the opposite direction.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given equation is as follows:-
y = 2x⁶ + 9x⁵ -7x³ -1
When the term -3x⁶ is added the equation will be reduced in the following form.
y = -3x⁶+2x⁶ + 9x⁵ -7x³ -1
y =-x⁶+9x⁵ -7x³ -1
When we plot the graph of the above equation we will see that the graph will be reduced to the form in which both the ends of the graph lie opposite to each other.
The graph of the equation is attached with the answer below.
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Answer:
B is the correct answer
Step-by-step explanation:
Which of the following will result in a rational number? Select all that apply.
Answers
An expression is defined as a set of numbers, variables, and mathematical operations
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be simplified as,
A.) 7 3/4 - (√11)/5 = (155-4√11)/20
B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)
C) 7 3/4 + (√16)/5 = 166/20
D.) 7 3/4 + (√16)/5 = 31/5
The option that will result in a rational number is C and D.
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Find the value of the following:
1. Decrease 1.25km by 0.6%
2. Decrease 64 g by 12 ½%
3. Decrease 124 L by 15%
4. Decrease 350m² by 42%
Step by step working please!
Answers
The required decreased value is given by 1.2425, 56g, 105.4L, 203m²
What are percentage?
percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.
1) Decrease 1.25km by 0.6%
0.6% of 1.25km = 0.0075
so total decrease = 1.25 - 0.0075
= 1.2425
similarly,
2.) Decrease 64 g by 12 ½%
12 ½% of 64g = 8g
so total decrease = 64-8
= 56g
3. Decrease 124 L by 15%
15% of 124 = 18.6L
so total decrease = 105.4L
4. Decrease 350m² by 42%
42% of 350m² = 147m²
so total decrease = 203m²
Thus, the required decreased value is given by 1.2425, 56g, 105.4L, 203m²
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Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus for $960.50 and budgeted $35.75 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.
Answers
The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that,
The total amount that can be spent = $1818.50
Rent of bus = $960.50
Cost per player = $35.75/player
So,
Cost of bus + Cost per player × number of players ≤ The total amount that can be spent
960.50 + 35.75p ≤ 1818.50
35.75p ≤ 858
p ≤ 24
Hence "The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24".
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Equation:
Step-by-step explanation:
0 y-
Which of the following exponential equations
-2
|--1
2.0041
2.0123
3
2.0014
0 y=
x-3
Oy=3*-2-3
Oy-3-³+2
-3
3
3
-2
3
G
could be represented by the table below?
o
1
2.037
2.111
2.333
3
4
5
34:01
ما
11
Answers
Answer:
can you write these in proper way
A linear inequality that is represented by the graph include the following: C. y > 2/3(x) + 3.
What is the rules for writing an inequality?In Mathematics, there are two (2) main rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:
here, we have,
The line on a graph should be a solid line when the inequality symbol is (≥ or ≤).
The line on a graph should be a dashed (dotted) line when the inequality symbol is (> or <).
The line on a graph should be shaded above the line when the inequality symbol is (>).
Since the line on this graph was shaded above the line and it passes through the point (0, 3), it ultimately implies that 3 is part of its solution and as such, it is represented by this inequality equation:
y > 2x/3 + 3.
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A software company wants to get an idea of their customers' level of satisfaction with their software. To do so, they included a phone number on the packaging of their most recent software release, with the message, "If you have any concerns with the product, please call this number." Based on the overwhelmingly negative response they received from these calls, the company decided to stop selling the product.
What could be wrong with their decision?
A.
The phone system screened out certain positive comments because of a malfunction.
B.
The release of the software coincided with the spread of a virus which affected the performance of the program.
C.
The note on the package only told customers to call in the event that they had a concern, which could bias the results negatively.
D.
The customers were misinformed about the purpose of the program.
Answers
Answer:
C. The note on the package only told customers to call in the event that they had a concern, which could bias the results negatively.
Explanation:
Since customers were only told to call if they had concerns, all of the calls were about concerns or problems that they were having - meaning all of the calls were negative. However, they were never informed to call if they were happy or content with the product, meaning they were never informed of the people who had positive comments, only negative.
A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
A.y=-4x+5
B. Y=4x -5
C.2y=8x-10
D.-2y=-8x-10
Answers
answer :
A. y = – 4x + 5
Step-by-step explanation:
make y = 4x-5 equal to each of the answer choices and see if you get an answer
STEPS:
1.
make 4x - y = 5 into a y= equation
4x - y = 5 is y = 4x-5
2.
then make y = 4x-5 equal to each of the answer choices and see if you get an answer
A.
4x-5 = -4x+5
8x = 10
x = 10/8 = 5/4
yes, it has one solution
its also an intersecting line because
one line has 4x and the other has -4x
4x and -4x are slopes and opposite signs so
the lines are intersecting
B.
4x-5 = 4x-5
since they are the same on both sides of the equal sign they have
infinite solutions
they are also both the same line
C.
2y=8x-10 when simplified is y=4x-5
so its just like choice B
they are also both the same line
4x-5 = 4x-5 which is
0 = 0
since they are the same on both sides of the equal sign
infinite solutions
they are also both the same line
D.
-2y=-8x-10 when simplified is y=4x+5
4x-5 = 4x+5 when you work it out you get the answer
0 = 5
since when you solve the equation and get 0 = 5
that means its there is no solution
its also parallel line because both lines have 4x as a slope
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Find the following, giving your answers
to 1 decimal place.
10 cm/
6 cm
8 cm
a) The volume of the cone.
b) The curved surface area of the cone.
Answers
Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
__
a) volumeThe volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
__
b) areaThe lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94°. Based on the information that is provided, which could be a correct set of sides for this set of angles?
side QR = 7 cm , side RS = 10 cm , side QS = 12.6 cm
side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm
side QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
Answers
Answer:
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
Step-by-step explanation:
The side opposite to biggest angle is the longest side
In ΔQRS,
∠S > ∠R > ∠Q
∠S is the biggest and ∠ Q is the smallest angle.
So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.
QR > QS > RS
QR = 12.6 cm ; QS = 10 cm and RS = 7 cm
Which sign should be used for the following equation? 0.452 _______ 0.712 < > ≤ ≥
Answers
Answer:
<
Step-by-step explanation:
0.4<0.7
4 is smaller than 7 so the sighn points to 0.7
Tom has a fair six-sided spinner. he spins it three times. the probability that the spinner will land on white is
1/6.
calculate the probability that the spinner will land on white for all three spins.
Answers
The probability that the spinner will land on white for all three spins is 1/216
How to determine the probability?The probability is given as:
P(White) = 1/6
The event that the spinner lands on white all three times is:
White White White
The probability is then represented as:
P = P(White)^3
So, we have:
P = (1/6)^3
Evaluate
P =1/216
Hence, the probability that the spinner will land on white for all three spins is 1/216
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Work out the size of angle x.
Answers
Answer:
according to my calculation it is 13
Step-by-step explanation:
hope I helped
The person who answered is correct
A music-streaming service charges $9 per month for a single user. Additional users within the same household can be added for $3 per month.
Write an equation that shows how the monthly cost, y, depends on the number of additional users in the household, x.
Do not include dollar signs in the equation.
y=
Answers
Answer:
y=9+3x
Step-by-step explanation:
It starts with y=.
Then you have to put the 9 for the streaming service.
Then you add.
You multiply by 3 for all the x in the household plan.
Answer:
y = 9 + 3x
Step-by-step explanation:
$9 per month for a single user
$3 per month for additional users
Find monthly cost, y, where additional cost is represented by x
The cost for a single user = fixed cost (It remains constant)
The cost of the additional user = variable (It increases with the number of users)
The monthly cost increases with the number of additional users
The monthly cost = cost of single user + the cost of additional users
y = 9 + 3x
what equation describes a linear function
Answers
Answer: y = f(x) = a + bx y = f(x) = a + bx y = f(x) =
explanation: The following is the formula for a linear function. y = f(x) = a + bx y = f(x) = a + bx y = f(x) = One independent variable and one dependent variable make up a linear function.
Answer:
I don't knowwwwwwwwwwwwwwww
is the square root parent function.
OA. F(x)=√x + 1
OB. F(x)=√x
O C. F(x) = x
OD. F(x) = x²
Answers
B. F(x)= √x
Solve for x in the diagram below.
Answers
Answer:
x = 34
Step-by-step explanation:
A straight line is 180 degrees
We can sum angles to form a straight line
x+12 + 100 +x = 180
Combine like terms
2x+112 = 180
2x+112-112 = 180-112
2x = 68
Divide each side by 2
2x/2 = 68/2
x = 34
answer:
=x+12+100+x =180
=x+x+12+100=180
=2x+112=180
=2x=180-112
=2x=68
=2/2x=68/2
=x=34
The first step in determining the solution to the system of equations, y = -x2 - 4x - 3 and y = 2x + 5, algebraically is to set the two equations equal as -x2 - 4x -3 = 2x + 5. What is the next step?
Answers
Answer:
See below
Step-by-step explanation:
Next step is to gather 'like' terms
-x2 - 4x -3 = 2x + 5.
x^2 + (4x + 2x) + (3+5) = 0 then simplify
x^2 + 6x + 8 = 0 then factor
(x+4)(x+2) = 0
so either of these terms = 0
x+4 = 0 means x = -4
x+ 2 = 0 means x = - 2
Answer:
d
Step-by-step explanation:
Combine like terms onto one side of the equation.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answers
For more explanation, please see the attachment
Solve the following system of equations. Show all work and solutions.
y = 2x2 + 6x + 4
y = −4x2 + 4
Answers
The lowest point in the United States is the Sierra Nevada in California. Its altitude is 300 feet below the sea level. Identify the absolute value of the point. (Sierra Nevada).
Answers
Answer:
300 feet
Step-by-step explanation:
The absolute value of a number is defined as that number's distance from 0 (the origin) on a number line, regardless of direction.
In this case, the origin can be represented by sea level. Since the lowest point of 300 feet is taken by reference to sea level, it can be said that the absolute value of the point is 300 feet, since this represents its vertical distance from sea level.
Hope this helps!
-35÷6=
-350÷6-350-6=
350 - 60 =
Answers
Answer:
The first one is 5.83 or -5 5/6
The second one is -414 1/3
The last one is 290
Solve the Proportion.
10/a = 15/24
a=?
Answers
Answer:
a=16
Step-by-step explanation:
10/a=15/24, a≠0
10/a=5/8
80=5a
5a=80
a=16,a≠0
a=16
10/a = 5/8
Because 10 divided by 2 equals 5, we could multiply 8 by 2 to get what our denominator that is missing would be. 8 x 2 = 16, so a = 16. 10/16 = 15/24.
Your final answer: a = 16
Se quieren llenar 100 botellas de agua con una capacidad de 1/4lt ¿cuantos litros de agua son necesarias?
Answers
Answer:
25
Step-by-step explanation:
Because 100 25+25+25+25 or 25/1/4
Where would 8.46 be located on a number line?
Answers
8.46 be located between 8.45 and 8.47 on a number line.
What is the number line?A number line is a horizontal line that has equally unfolded range increments. The numbers protected on the line will determine how the wide variety on the road may be responded to. The query that goes with the wide variety determines how it will likely be used, as an instance, in plotting a point.
What is a number line example?Numbers on various lines include all sets of numbers namely natural and complete numbers. An instance of a fixed of entire numbers is:(0, 1, 2, 3,5,6 …….) while the natural numbers consist of:1, 2, 3, four, five, 6…. a number of lines consists of 3 basic elements. within the center, the starting place is commonly plotted with 0.
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Describe the translation from f ( x ) = I x I... to f ( x ) = I x - 1 I + 11.
Answers
can someone confirm why it's not? im *pretty* sure it's d?
Answers
Answer:
yes it is I'm sure of it ok.
Do you know how fast last year's winner was traveling? san francisco laser boat.
Answers
The average speed of the Australian team's laser boat in the San Francisco final was 68.81 km/h.
What is the laser boat?
The laser boat is a type of boat that uses the wind to move on the water. This type of boat is used in the SailGP Championship.
In the phase of San Francisco, the United States the winner was the team of Australia that had an average speed of 68.81 km/h and a maximum of more than 90 km/h.
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