Answer:
y + 3 = 2/3(x - 1)
Step-by-step explanation:
y - y1 = m(x - x1)
y - (-3) = 2/3(x - 1)
y + 3 = 2/3(x - 1)
Find the probability of taking out the king from a well shuffled pack of 52 cards
Answer:
1/13
Step-by-step explanation:
There are 52 cards in a deck, there are 4 suits and a king in each suit.
That makes 4 kings in a deck of cards.
P(king) = number of kings/ total cards
= 4/52 = 1/13
Answer:
1/13
Step-by-step explanation:
in 52 cards there was 4king
so ＝4/52
simplify ＝1/13
for many medical tests, it is standard procedure to repeat the test when a positive signal is given. if repeated tests are independent, what is the probability that a man will test positive on two successive tests if he has the disease?
The probability that a man will test positive on two successive tests if he has the disease 81%.
In mathematical terms, probability can be represented as the ratio of the number of favorable outcomes to the number of possible outcomes. The formula for probability is as follows:
P(E) = n(E) / n(S)
Where:
P(E) is the probability of event E occurring
n(E) is the number of favorable outcomes for event E
n(S) is the number of possible outcomes in the sample space S
Let's assume the probability of a man testing positive for a disease if he has it is represented by the symbol "P".
If the tests are independent, meaning that the outcome of one test does not affect the outcome of the other, then the probability of a man testing positive on two successive tests can be calculated as the product of the probabilities of each individual test.
Therefore, the probability of a man testing positive on two successive tests if he has the disease is P * P, or P².
If the probability of a man testing positive for a disease if he has it is 90%, represented by P = 0.9, then the probability of him testing positive on two successive tests is 0.9 * 0.9 = 0.81, or 81%.
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A company's weekly profit in pesos is determined by the function P(×)=ײ( × + 100 ) ( × + 300 ) where × represent the number of branches it operates. How much profit does the company make in a week if it operates 10 branches
HELP pls will mark you the brainliest
The equation for the total cost is y = 2x + 20
How to write an equation for the total cost?Since we are to multiply the number of kites by 2 and add 20 to get the cost at Windy kites.
The table can be filled as follows:
Kite purchased Tota cost
4 (2*4) + 20 = 28
7 (2*7) + 20 = 34
10 (2*10) + 20 = 30
The equation for the total cost can be written as:
y = 2x + 20
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Que pongo?rápido porfiii
Answer:
4xy + 2xy - 3xy +5xz - yz
4xy - 3xy + 2xy + 5xz - yz
1xy+2xy + 5xz - yz
3xy + 5 xz - yz
Saul makes trail mix with peanuts, raisins, and pretzels. The ratio of cups of raisins to cups of peanuts is 1 to 6. The ratio of cups of pretzels to cups of raisins is 3 to 1. Decide if each statement describing the trail mix is true or false. Choose True or False for each statement.
1.) "Saul uses 6 times as many cups of peanuts as cups
of raisins."
2.) "Saul uses 3 times as many cups of raisins as cups
of pretzels."
3.) "The ratio of cups of peanuts to cups of pretzels is 3 : 6."
4.) "Saul uses 2 times as many cups of peanuts as cups
of pretzels."
The following statements describing the trail mix;
1.) "Saul uses 6 times as many cups of peanuts as cups of raisins."True
2.) "Saul uses 3 times as many cups of raisins as cups of pretzels."False
3.) "The ratio of cups of peanuts to cups of pretzels is 3 : 6."False
4.) "Saul uses 2 times as many cups of peanuts as cups of pretzels."False
Which statement is true or false?The ratio of cups of raisins to cups of peanuts is 1 to 6.
The ratio of cups of pretzels to cups of raisins is 3 to 1.
Check all that applies;
1.) "Saul uses 6 times as many cups of peanuts as cups of raisins."
True
2.) "Saul uses 3 times as many cups of raisins as cups of pretzels."
False
3.) "The ratio of cups of peanuts to cups of pretzels is 3 : 6."
False
ratio of cups of peanuts to cups of pretzels = 6 : 3
4.) "Saul uses 2 times as many cups of peanuts as cups of pretzels."
False
Hence, the statement can be true if the ratio is correct.
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If investments double every 9 years and you
start with a $600 investment, how much
money would you have after 27 years?
First, complete the equation:
Future Amount = [?](1+
↑
initial amount
growth rate
Xtime
periods
After 27 years, you would have $4800 in the account.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
Given:
Investment double every 9 years,
and you start with $600 investment.
So, by the exponential growth function,
y = 600(1+r)ˣ,
To find the growth rate:
1200 = 600(1 + r)⁹
r = 1.08006
So, the equation is,
y = 600(1+0.8006)ˣ
After 27 years,
y = 600 x 8
y = $4800
Therefore, $4800 is the required amount.
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10. Communicate and Justify Jane interpreted
the mean of the given data set, 8.48, as
meaning half the cats weighed less than
8.48 pounds and half weighed more. What
was Jane's error? Explain.
Jane's error was that she assumed that the mean of the data set would represent a midpoint, where half of the cats weighed more and half weighed less.
What informs the assertion?This is not necessarily the case, as the mean is only an average of the data set and does not necessarily represent any particular point within the data set. For example, if the data set was composed of 8 cats that all weighed 8.48 pounds, then the mean would be 8.48, but none of the cats would weigh less than 8.48 pounds.
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HELP pls will mark you the brainliest
We can acquire a number of kites of 6 kites for a total price of $ 30 in both stores (Kites-R-Fun, Windy Kites).
What is the solution to a system of linear equations formed by two lines
In this problem we find the case of two lines being represented on Cartesian plane, both have a point of intersection that represents the solution to the system. Each line represents a price function for a kite model sold in a store, where the horizontal axis represents the number of kites and the vertical axis represents the total cost.
According to the given figures, we can acquired a number of kites of 6 kites at a total price of $ 30 in both stores.
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Discussion: Quadratic Functions
Consider a quadratic function in forms of f(x) = ax^2 + bx + c. How many real zeros can it have? How many complex zeros can it have? How does each case relate to its graph?
To find its zeros you can use two different methods. What are they? When would it be appropriate to use one method over the other?
1. There are two real zeros, one real zero, or two complex conjugate zeros, depending on the discriminant of the quadratic formula, which is b² - 4ac.
2. This formula gives the two zeros of the quadratic function. You can use the quadratic formula when factoring is not possible or not easy to do.
Quadratic FunctionsA quadratic function in the form of f(x) = ax² + bx + c can have either two real zeros, one real zero, or two complex conjugate zeros, depending on the discriminant of the quadratic formula, which is b² - 4ac.
If the discriminant is positive, meaning b² - 4ac > 0, then the quadratic function has two real zeros, since the quadratic formula gives two distinct real roots. The graph of the function will intersect the x-axis at two distinct points.
If the discriminant is zero, meaning b² - 4ac = 0, then the quadratic function has one real zero with a multiplicity of two, which means the graph will touch the x-axis at one point but not cross it.
If the discriminant is negative, meaning b² - 4ac < 0, then the quadratic function has two complex conjugate zeros. The graph will not intersect the x-axis, but it will have a minimum or maximum point called the vertex.
To find the zeros of a quadratic function, you can use two different methods: factoring and the quadratic formula.
Factoring is an efficient method if the quadratic expression can be factored easily. For example, if the expression is in the form of x² + 5x + 6, it can be factored as (x + 2)(x + 3), and the zeros are x = -2 and x = -3.
The quadratic formula is another method to find the zeros of a quadratic function. This formula can be used for any quadratic expression, regardless of whether it can be factored or not. The quadratic formula is:
x = (-b ± √(b² - 4ac)) / 2a
This formula gives the two zeros of the quadratic function. You can use the quadratic formula when factoring is not possible or not easy to do.
In general, factoring is quicker and simpler when it is possible, but the quadratic formula is always reliable and will give the zeros in any case.
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In a library 3 out of 4 books are nonfiction. of the nonfiction books. 40% are biographies. The Library has a total of 840 books.
Answer:
so your telling me that you need the answer to a question? how about you answer my queston first. how much wood could a wood chuck chuck if a wood chuck could chuck wood?
Step-by-step explanation:
ANSWER IT RN.
10 in
12 in
10 in
3 in
Step-by-step explanation:
10in×10in×3in×3in×12in=2172
Janet is making chocolate chip cookies. One batch of chocolate chip cookies needs of a cup of sugar. Janet wants to make three batches of chocolate chip cookies.
Part A
How many total cups of sugar will Janet need to make three batches of chocolate chip cookies? Show your answer in lowest terms.
Part B:
Janet has 4 cups of sugar. How much sugar will she have left over after making three batches of chocolate chip cookies?
PART A) Janet needs only three cups of sugar to make three batches of chocolate chip cookies.
PART B) One cup of sugar will be left over after making three batches of cookies.
What is the unit price?
A unit price is the cost of a single object or unit of measurement, such as a pound, a kilogram, or a pint, and it is used to compare the prices of similar products offered in various weights and quantities. Selling more than one unit of the same product at a discount from its unit price is known as multiple pricing.
Given that Janet needs One cup of sugar to make one batch of chocolate chip cookies.
Part A:
Let The number of cups of sugar Janet needs to make three batches of cookies be 'x'.
Now,
1 batch/ 1 cup = 3 batch/ x cups
x= 3
Therefore, Janet needs only three cups of sugar to make three batches of chocolate chip cookies.
Part B:
Given that Janet has four cups of sugar.
From part A, we found that she only need three cups of sugar.
Available - Needed = Excess
4-3=1
So, one cup of sugar will be left over after making three batches of cookies.
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a dance class consists of 22 students, half of them are men and half of them are women. if 4 men and 4 women are to be chosen and then paired off, how many results are possible?
There exist 108,900 possible results.
Since there are 22 students in the class and half of them are men, there are 22/2 = 11 men. And since half of the students are women, there are 11 women.
When choosing 4 men and 4 women to pair off, the number of results possible is the number of combinations of 4 men from 11, which is C(11, 4), multiplied by the number of combinations of 4 women from 11, which is C(11, 4).
So, the number of results possible is C(11, 4) * C(11, 4) = 330 * 330 = 108900.
Therefore, there are 108,900 possible results.
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What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Martin is walking from Antrim to Randalstown. Randalstown 13 miles Toome 94 miles Antrim 3½ miles (a) Work out the distance from Antrim to Randalstown.
The distance from Antrim to Randalstown is 6 5/6 miles.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Martin is walking from Antrim to Randalstown.
Randalstown 3 1/3 miles, Toome is 9 1/4 miles Antrim 3 1/2 miles.
Therefore, the distance from Antrim to Randalstown is the sum of their distances which is,
= 3 1/3 + 3 1/2 miles.
= 10/3 + 7/2 miles.
= (20 + 21)/6 miles.
= 41/6 miles.
= 6 5/6 miles.
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help me. the problem is in the pic
The anchor dropped at a rate of -1.8 meters per second.
The time it took to reach the water's surface is given as follows:
30 seconds.
What is the relation between velocity, distance and time?The relation between velocity, distance and time states that the velocity is obtained by the quotient of the distance by the time, as follows:
v = d/t.
In which the parameters are given as follows:
v is the velocity.d is the distance.t is the time.The anchor fell 63 meters in 35 seconds, hence the velocity is given as follows:
v = -63/35
v = -1.8 meters per second. (negative means that it is a drop).
The time needed to fall down 54 meters an reach the water's surface is given as follows:
1.8 = 54/t
t = 54/1.8
t = 30 seconds.
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According to Cavalieri's principle, when the height and diameter of a cylinder are equal to the diameter of a sphere, which statement is true about the volume of the sphere?
Responses
A The volume of half of the sphere is 34
the volume of the cylinder.The volume of half of the sphere is 3 4 the volume of the cylinder.
B The volume of half of the sphere is 23
the volume of the cylinder.The volume of half of the sphere is 2 3 the volume of the cylinder.
C The volume of half of the sphere is 43
the volume of the cylinder.The volume of half of the sphere is 4 3 the volume of the cylinder.
D The volume of half of the sphere is 13
the volume of the cylinder.The volume of half of the sphere is 1 3 the volume of the cylinder.
The correct statement regarding the volumes is given as follows:
B. The volume of half the sphere is 2/3 the volume of the cylinder.
How to obtain the volumes?The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
The volume of a sphere of radius r is given by the equation presented as follows:
V = 4πr³/3
The diameter is twice the radius, however they have the same unit, hence we can keep using the radius for the formulas.
If the diameter and the radius of the cylinder are equal to the height, the volume is given as follows:
V = πr² x r = πr³.
Hence the volume of the sphere is of 4/3 the volume of the cylinder, hence the volume of half the sphere is 2/3 the volume of the cylinder, meaning that option B is correct.
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Please help I have a learning disailty and this is due today.
To find the area of a triangle you use the formula A = 1/2
bh where b stands for the base and h is the height.
Find the area of the triangle drawn below.
The area of the triangle is inches squared _____________________
The area of the triangle is 12 inches squared.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the figure,
Base = 8 in
Height = 3 in
Now,
Area = 1/2 x base x height
Area = 1/2 x 8 x 3
Area = 12 in²
Thus,
12 inches squared is the area of the triangle.
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substitution, pls help!
By using the substitution method, the solution to the given system of equations include the following:
x = -9.
y = 36.
How to solve this system of equations?In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:
y = -2x + 18 .......equation 1.
y = -4x .......equation 2.
By using the substitution method to substitute equation 1 into equation 2, we have the following:
-2x + 18 = -4x
By re-arranging and collecting like terms, we have the following:
-4x + 2x = 18
-2x = 18
x = -18/2
x = -9
For the value of y, we have the following:
y = -4x
y = -4(-9)
y = 36.
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If a member is increased by 88,the result is 155. What is the number?
Answer:67
Step-by-step explanation:
88-155=67
Patch traveled from his office to the seashore at a speed of 62 mph. He traveled the same route on his way back to the office, but on the return trip his speed was 66 mph. If, altogether, Patch spent a total of 4 hours on the road, how many hours did the trip to the seashore take? Round your answer to the nearest hundredth (two decimal places)
Answer:
1.03 hours
Step-by-step explanation:
Let x be the time taken to travel from office to seashore at 62mph
Distance traveled = speed x time = 62x miles
Since both trips together took 2 hours, the time taken for the same distance from seashore to office = 2 - x hours
At a speed of 66 mph, the distance traveled = 66(2-x) = 132 - 66x
Since the distances on each trip are equal:
62x = 132 - 66x
Add 66x to both sides => 62x + 66x = 132 =-66x + 66x
128x = 132
x = 132/128 = 1.03125 hours = 1.03 hours rounded to 2 decimal places
if a researcher is very confident that changes in the independent variable caused changes in the dependent variable, the study is said to have
The independent variable caused changes in the dependent variable, then the Pearson’s Correlation Coefficient must be close to either +1 or -1
In order to determine if changes in an independent variable cause changes in a dependent variable, the researcher must use a measure of correlation. The most commonly used measure of correlation is Pearson’s Correlation Coefficient (r). This coefficient measures the strength and direction of the linear relationship between two variables. It can range from -1 to +1 and can be calculated using the formula r = (Σxy) / (√Σx2 * √Σy2).
The value of r indicates the strength of the relationship between two variables. A value of 0 indicates no correlation, a value of 1 indicates a perfect positive correlation, and a value of -1 indicates a perfect negative correlation. The closer the coefficient is to +1 or -1, the more confident the researcher can be that changes in the independent variable caused changes in the dependent variable. If the researcher is very confident that changes in the independent variable caused changes in the dependent variable, then the Pearson’s Correlation Coefficient must be close to either +1 or -1.
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compete question:
What is Pearson's Correlation Coefficient and how is it used to measure the strength of the relationship between two variables?
England and Scotland both produce scones and sweaters. Suppose that an English worker can produce 40 scones per hour or 1 sweater per hour. Suppose that a Scottish worker can produce 20 scones per hour or 2 sweaters per hour. _____________ workers have an absolute advantage in producing scones, _______________ workers have an absolute advantage in producing sweaters.
English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.
How to get workers with absolute advantage?English workers have an absolute advantage in producing scones as they can produce 40 scones per hour,
while Scottish workers can only produce 20 scones per hour. On the other hand, Scottish workers have an absolute advantage in producing sweaters as they can produce 2 sweaters per hour, while English workers can only produce 1 sweater per hour.
Absolute advantage refers to the ability of a country or individual to produce a good or service more efficiently than another country or individual.
This means that the country or individual with the absolute advantage is able to produce the same good or service with fewer resources or in less time. In this case, each country has an absolute advantage in producing one of the goods, scones or sweaters.
Thus,English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.
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Please help me with this ?
The supplement of an angle is 36 less than the supplement of the complement of the
angle. What is the measure of the angle? Show your work as clearly as you can!
The measure of the angle is 54 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let the measure of the angle "x".
The complement of the angle is 90 - x.
The supplement of the complement is 180 - (90 - x) = 90 + x.
The supplement of the angle is 36 less than the supplement of the complement of the angle, so 90 + x - 36 = x.
90 + x - 36 = x
54 = x
So the measure of the angle is 54 degrees.
Hence, the measure of the angle is 54 degrees.
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What’s two fifteen divided by nine
Answer:
23.8888888889 that's the answer
Answer:
215/9=23.8888888889
Step-by-step explanation:
Which is the better buy? (18 points)
7-pack of T-shirts for $23.02
8-pack of T-shirts for $26.72
Answer: 7 Pack
Step-by-step explanation: Divide each price by the number of shirts :)
Question 3(Multiple Choice Worth 5 points)
(Systems of Linear Equations MC)
Which point is a solution to the system of linear equations?
y = -x + 4
x - 3y = 12?
O (0, 3)
O (1, 2)
O (6, -2)
O (4,-4)
Answer:
(6, -2)
Step-by-step explanation:
The only option that satisfies both equations is (6, -2).
Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles?
Therefore , the solution of the given problem of linear equation comes out to be 683 = 211 + 63x option c is correct.
A linear equation is precisely what?A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.
Here,
Distance already traveled by Ed 211 miles
Also, Ed is driving at a rate of 63 miles per hour.
Distance Speed × Time
Distance traveled by Ed in x hours = 63x
Total distance traveled by Ed= 211 + 63x
Also, total distance traveled by Ed is 638 miles.
Therefore,
=> 683 = 211 + 63x
or
x =7.49
Thus , option c is correct.
Therefore , the solution of the given problem of linear equation comes out to be 683 = 211 + 63x option c is correct.
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The complete question is "Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211"
A circle has central angle 144° and its arc length is 4 units. the radius of the circle is?
The radius of the circle is 20/π units or approximately 6.37 units.
To find the radius of the circle given its central angle and arc length, we can use the formula:
arc length = radius * central angle
In this case, we have:
arc length = 4 units
central angle = 144°
Plugging these values into the formula, we get:
4 units = radius * 144°
To solve for the radius, we need to convert the angle from degrees to radians, as the formula requires the angle to be in radians.
1 radian = 180°/π
So, 144° = (144/180) * π radians
Simplifying, we have:
144° = (4/5) * π radians
Now we can rewrite the formula using radians:
4 units = radius * (4/5) * π radians
Solving for the radius, we divide both sides of the equation by (4/5) * π:
radius = (4 units) / ((4/5) * π)
Simplifying further, we can multiply the numerator and denominator by 5 to cancel out the fraction:
radius = (20 units) / π
Thus, the radius of the circle is 20/π units or approximately 6.37 units.
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