Answer:
0.6
Step-by-step explanation:
Out of the people who support the racetrack, 12348 live in town and 9702 live in the surrounding area.
So, the probability is \(\frac{12348}{12348+9702} \approx 0.6\).
A rectangle is divided into same size squares one row covers 1/8 of the whole rectangle there are 3 squares in each row how many squares are in a whole triangle
Answer:
it is one square
Step-by-step explanation:
in the middle is room for one but anywhere else isn't
There are 3 types of PercentProblems.
a) Number compared to the Base is unknown: x/100 = ?/b
b) Base Number is unknown: a/?= x/100
c) Percent is unknown: a/b = ?/100
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8?
Answer:A. x= .100
Step-by-step explanation:because of the distance in miles
Someone please help me I need help .
Answer:
It’s the last option; 10/24 and 20/24
If h(x)=-3x and g(x)=2x-1 what input value would make h(x)=12?
The question gives the function h(x) as
\(h(x)=-3x\)To find the value that will make the function 12, we equate the function to 12, such that
\(-3x=12\)Solving to get x, we have
\(\begin{gathered} x=\frac{12}{-3} \\ x=4 \end{gathered}\)Therefore, h(x) = 12 when x = 4.
You deposit a $100 in an account the account earns $2 simple interest in 6 months what is the annual interest rate
Answer:
The annual interest rate for the given condition is 4%
Step-by-step explanation:
Josh practices free throws during basketball practice on Monday and Tuesday. On Monday, he attempts 44 free throws and 12
basketballs went in the basket. Over both days, Josh wants at least 50% of his balls to go in the basket. If he makes every free throw on
Tuesday, what is the minimum number of free throws required on Tuesday to reach his goal?
Answer:
The answer to your question is 20, I may be wrong, if I am try this.
Step-by-step explanation:
Try adding 44 and 12 together, then divide your answer by 5.
pless i really need help
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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Al lanzar un dado determinar la probabilidad de que salga un número primo o un número mayor que 3
The probability of a prime number or a number greater than 3 coming up is given as follows:
5/6.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:
Prime numbers: 2, 3, 5.Non-prime greater than 3: 4 and 6.Hence the probability is given as follows:
5/6.
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whats -5/8 divided by -5/16
Answer:
-2 is the answer
Step-by-step explanation:
i hope this helped
Answer:
2
Step-by-step explanation:
Make a common denominator so -5/8 would be -10/8. It is now -10/16 divided by -5/16. Cancel out the 16 and you get -10 divided by -5. The answer is 2. Brainliest would be nice if I helped you out. Thanks.
The volume of a cone of height hand base radius r is given by:
The volume of a cone is calculated using the formula \((\frac{1}{3} )r^2h\), where "h" is the cone's height and "r" is the radius of the base.
Answer:
The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.
Step-by-step explanation:
hope it helps you :)
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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About how many units apart are point S and point Q
The point S is at (-2,-8)
The point Q is at (8,7)
Distance formula is express as:
\(\text{ Distance=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{^{}}}\)The coordinates are:
\(\begin{gathered} (x_1,y_1)=(-2,-8) \\ (x_2,y_2)=(8,7) \end{gathered}\)SUbstitute the value and simplify for the distance
\(\begin{gathered} \text{ Distance=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{^{}}} \\ \text{Distance}=\sqrt[]{(8-(-2)^2+(7-(-8))^2} \\ \text{Distance}=\sqrt[]{(8+2)^2+(7+8)^2}_{} \\ \text{Distance}=\sqrt[]{10^2+15^2} \\ \text{Distance}=\sqrt[]{100+225} \\ \text{Distance}=\sqrt[]{325} \\ \text{Distance}=18.02\text{ unit} \end{gathered}\)The point S and Q are 18.02 unit away
Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, due to the crowding and smaller lot sizes. In fact, if it builds 40 houses in this particular development, it can sell them for $200,000 each, but if it builds 60 houses, it will only be able to get $160,000 each. Obtain a linear demand equation and hence determine how many houses Pack- Em-In should build to get the largest revenue. What is the largest possible revenue?
Using a linear and a quadratic function, it is found that the largest possible revenue is of $9,800,000.
The demand function has a linear format, given by:
\(P = mh + b\)
In which:
m is the slope, that is, the rate of change.b is the intercept, that is, the value of P when h = 0.40 houses can be sold for $200,000 each, thus, the first point of the linear function is: (40, 200000).
60 houses can be sold for $160,000 each, thus, the second point is: (60, 160000).
The slope is given by change in the output divided by change in the input, thus:
\(m = \frac{160000 - 200000}{60 - 40} = -2000\)
Thus:
\(P = -2000h + b\)
Point (40, 200000) means that when \(x = 40, y = 200000\). This is used to find b.
\(P = -2000h + b\)
\(200000 = -2000(40) + b\)
\(b = 280000\)
Then
\(P = -2000h + 280000\)
The revenue function is:
\(R = hp = -2000h^2 + 280000h\)
It is a quadratic equation with \(a = -2000, b = 280000\)
Since the quadratic equation is concave down, the maximum value is:
\(R_{MAX} = -\frac{b^2 - 4ac}{4a} = -\frac{280000^2}{4(-2000)} = 9800000\)
The largest possible revenue is of $9,800,000.
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What is the area of the figure?
Answer:
58.5 ft²
Step-by-step explanation:
The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.
Let's find the area of each!
Square
Area of square= side ×side
Area
= 3(3)
= 9 ft²
Triangle
Area of triangle= ½ ×base ×height
Base= 11 ft
Height= 3 ft
Area
= ½(11)(3)
= 16.5 ft²
Rectangle
Area of rectangle= length ×breadth
Area
= 3(11)
= 33 ft²
Area of figure
= 9 +16.5 +33
= \(\textcolor{red}{58.5 \: {\text{ft}} {}^{2} }\)
f(t) = 0.25t2 − 0.5t + 3.5
The resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively
Function and valuesFunctions are expressions in form of variables. Given the following quadratic equation expressed as:
f(t) = 0.25t^2 − 0.5t + 3.5
We can find the equivalent value of the function when the value of t a re 2 and 6.
If the value of t is 2. hence;
f(2) = 0.25(2)^2 − 0.5(2) + 3.5
f(2) = 1 - 1 + 3.5
f(2) = 3.5
If the value of t is 6, hence;
f(6) = 0.25(6)^2 − 0.5(6) + 3.5
f(6) = 9 - 3 + 3.5
f(6) = 6.5
Hence the resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively
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Help plz:) photo attached
Answer:
y=5x+25
Step-by-step explanation:
Since the y intercept for the scatterplot is 25, that means that the only equation that matches the graph is y=5x+25
y=5(0)+25
y=0+25
y=25
A boy runs at 4 miles per hour for 90 minutes and then 13 miles per hour for 60 minutes. How far in miles has the boy travelled?
Answer: 19 miles
Step-by-step explanation:
in 90 minutes there are 1.5 hours,
so, 4×1.5= 6 miles
then, he runs 13 miles for another hour (60 minutes)
6+13= 19 miles
Therefore, the boy runs 19 miles.
Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0
both clocks ring toget (b) Two bells hanged at a school were adjusted at 10:00 am in such a way th one of them rings at the interval of every 45 minutes and another at every minutes. At what time will both bells ring together ?
The Least common multiple (LCM) The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.
The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.
To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...
Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.
Thus, the two bells will ring together every 45 minutes.
If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.
Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
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the commission paid on goods for $4000 is $80. what is the percentage commission?
Answer:
percentage = 80÷4000=0.02
Three out of nineteen students will ride in a car instead of a van. How many ways can those three students be
chosen? Use the following formula.
n!
r
C(n, r) = r!(n-1)!
The four digit number is divisible by 8 and 9 and has no repeated digits
The four-digit number is divisible by 8 and 9 and has no repeated digits
is 7416.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The four digit number be abcd.
If the number is divisible by 8 and 9 simultaneously it must be a LCM of 8 and 9 which is 72.
Let, The number be 72m, where m ∈ I⁺.
Now, 72×100 = 7200 but the number should have no repeating digits.
The next multiples of 72m are, when m = 101, 102, 103...
At m = 103, 72m = 7416.
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Solve the equation: -2 = 1/2x + b
Answer:
If solving for x, the answer is x = -2b - 4.
Step-by-step explanation:
If solving for b, the answer is b = -2 - \(\frac{x}{2}\).
.....................
HELP MEEE
name a ray
name a line segment
name a line
From the given diagram, we can name the following as;
Ray is AT
Line segment is MH
Line is AM
How to Identify rays, line segments and lines?A ray is defined as a line that has only one endpoint. The other end of the line just goes on. It has one start point and one end point.
A line segment has two end points. The difference between a line segment and a line is that a line is extensive while the line segment has two end points.
A line is straight, without any type of thickness and it is the shortest distance that exists between 2 points. It has only length. It is without width.
Looking at the given image and comparing with our definitions, we can say that;
Line segment is MH
Ray is AT
Line is AM
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HELP ME ASAP!!!!!!!!!!!! 30 POINT REWARD!!!!!!!!!!!!!!!!!!!!!!!PLEASE EXPLAIN AND SOLVE!!!!!The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
X g(x)
0 $600
3 $720
6 $840
Part A: Find and intepret the slope of the function
Part B: Write the equation in point slope, slope intercept form, and standard form
Part C: Write the equation of the line using function notation
Part D: What is the balance of the bank account after 7 days?
Part A:
The y-intercept is $1,500
The x-intercept is 20 days
Part B:
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
f(x) = -75·x + 1500
Part D:
$1,125
Step-by-step explanation:
The information given are;
x, g(x)
0, $1,500
2, $1,350
4, $1,200
The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is y = m·x + c
Where;
m = The slope
c = The y-intercept
From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);
The y-intercept = y at x = 0 = 1,500
y = -75·x + 1500
x = 1500/75 = 20
Part B:
The equation in point-slope form is y - y₁ = m×(x - x₁)
Which gives;
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
The equation of the line using function notation is f(x) = -75·x + 1500
Part D:
The balance in the bank after 5 days is f(5) = -75 × 5 + 1500 = $1,125
Na2SO4(aq) +CaCl2(aq) - CaSO4(s) + 2NaCl(aq)
Now that we have a balanced chemical
equation, let's write the ionic equation:
[]
+
+
A. Na2SO4(aq)
B. 2Na+(aq) + SO4 (aq)
C. Na+ (aq) + S0 - (aq)
D. Na2SO4(s)
Answer:
Is B then D then A then B :)
Answer:
Ionic Equation:
2Na+(aq)+SO4-2(aq) + Ca2(aq)+2CL-(aq) ----> CaSO4(s) + 2Na(aq) + 2Cl-(aq)
B, D, A, B
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
URGENT!!!!!! Find the value of q in the following system so that the solution to the system is——
====================================================
Explanation:
The left hand side of the first equation is x-3y
The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y
If we multiply both sides of the first equation by 2, we get
x-3y = 4
2(x-3y) = 2*4
2x-6y = 8
Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.
We can say each solution is in the set {(x,y): x-3y = 4}
Which is the same as saying each solution is of the form (3y+4,y)
Use the original price and the markdown to find the retail price. Original price: $80; Markdown: 18%
Answer:
$27
Step-by-step explanation: