Answer:
7.57082 or its just 7.5
the organizer of a potluck dinner sends 6 people a list of 10 different recipes and asks each person to bring one of the items on the list. if all 6 people randomly chose a recipe from the list, what is the probability that at least 2 will bring the same thing?
The probability of at least two people bringing the same item is 0.19.
The probability of two people bringing the same item can be calculated using the formula P(A∩B) = P(A) × P(B). In this case, P(A) and P(B) are both 1/10, since each person has the same chance of choosing any one of the 10 items on the list. Therefore, the probability of two people bringing the same item is 1/100. To calculate the probability of at least two people bringing the same item, we can use the formula P(A∪B) = P(A) + P(B) - P(A∩B). In this case, P(A∪B) = 1/10 + 1/10 - 1/100 = 0.19. Therefore, the probability of at least two people bringing the same item is 0.19.
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Differentiate Implicitly To Find dy/dx.
2x^2+8xy+6y^2+13y-2=0
dy/dx= ___
The implicit differentiation of the given function is dy/dx = ((-4x-8y))/((8x +12y+ 13)).
In implicit differentiation, each side of an equation with two variables (usually x and y) are differentiated by treating one of the variables as a function of the other. The technique of implicit differentiation enables the determine the derivative of y with respect to x without having to solve the given equation for y. The chain rule must be used whenever the function y is being differentiated because of the assumption that y may be expressed as a function of x.
In order to find the differentiate implicitly,
d/dx (2x^2+8xy+6y^2+13y-2)=0
4x + 8y + 8xdy/dx + 12ydy/dx + 13dy/dx = 0
dy/dx (8x + 12y + 13) = -4x -8y
dy/dx = ((-4x-8y))/((8x +12y+ 13))
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using the pencle plot the point (4, -3)
Answer:
Step-by-step explanation: go to the x axis that goes left to right and go to the #4 and then go down 3
a pen at a pet store contains male and female guinea pigs. The ratio of female guinea pig s to male guinea pigs is 7 to 3. Find the percent of guinea pigs in the pen that are male. Justify your answer.
The percentage of male guinea pigs in the pen at the pet store is 30%.
What is the percentage?The percentage refers to the ratio of a number or value compared to another.
Percentages are the results of division operations multiplied by 100.
The ratio of female to male guinea pigs = 7:3
The sum of ratios = 10
The percentage of female guinea pigs = 70% (7/10 x 100)
The percentage of male guinea pigs = 30% (3/10 x 100)
Thus, we can conclude that whereas there are 70% of female guinea pigs in the pet store's pen, 30% are male.
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How do you solve exponential decay questions?
You can solve exponential decay questions using the decay rate and the exponential decay formula.
Exponential decay is a common mathematical concept that can be difficult to master. Fortunately, there are some key strategies that can help you solve exponential decay questions.
To begin, it’s important to understand the concept of exponential decay, which is the decrease in the value of a quantity over time.
From there, you’ll need to identify the decay rate, or the speed at which the quantity is decreasing.
Next, you’ll want to use the exponential decay formula to calculate the final value of the quantity.
The formula is
dN/dT = -λN
where
N = quantity
λ= exponential decay constant
T= time
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The vertices of ABC are A(-4,4), B(-2,4), and C(-3,2). If ABC is reflected across the y-axis to produce the image A'B'C', find the coordinate of the vertex A'.
The vertices of ABC shown as A(-4, 4), B(-2, 4), and C(-3, 2). when reflected across the y-axis to produce the image A'B'C', the coordinate of the vertex A is
A' (4, 4)How to find the coordinates of the reflected imageReflection is one of the movements in transformation that involve creation of mirror image
Transformation rule for reflection over x-axis at origin (0, 0)) is
(x, y) → (x, -y)
Transformation rule for reflection over line y-axis at origin (0, 0)) is
(x, y) → (-x, y)
The problem involves reflection over y axis hence we use the rule
(x, y) → (-x, y)
Vertex A has the coordinate of the preimage as A(-4, 4) then after reflection the coordinate of the image will be A' (4, 4)
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A set of sides that creates a right triangle has sides in a ratio of 5 : 12 :13. Find two different sets of sides in feet that would create a right triangle using this ratio.
Answer:
10 : 24 : 26
15 : 36 : 39
Step-by-step explanation:
You can multiply all numbers in the ratio to find equivalent ratios that would function as different sets of sides because it's just a larger version of the 5: 12 : 13 triangle
Find the equation of the quadratic on which the points (0, 7) and (2, 11) lay.
Answer:
y = 2x + 7
Step-by-step explanation:
1. Find the limit, if it exists. (If an answer does not exist, enter DNE.)(a)lim x→[infinity] [ln(5 + 3x2) − ln(8 + x2)](b)lim x→[infinity] [ln(5 + 3x2) − ln(8 + x)] (c)lim x→[infinity] [ln(5 + 3x) − ln(8 + x2)]2. Find the limit, if it exists. (If an answer does not exist, enter DNE.)lim x → [infinity] arctan(ex)
Rahul bought a sweater and saved rs20 when a discount of 25% was given. what was the price of the sweater before the discount ?
Answer: To find the price of the sweater before the discount, you need to determine how much the discount saved Rahul and divide that amount by the discount rate.
The discount saved Rahul 20 / 0.25 = 80 rupees.
So, the price of the sweater before the discount was 80 + 20 = 100 rupees.
Step-by-step explanation:
Ms. Johnson is throwing the entire class a pizza party (not really, keep reading)! When she places the order from Tony's pizza across the street, she learns that each medium pizza has 6 slices, and each large pizza has 8 slices. If Ms. Johnson orders 9 total pizzas with a total of 66 slices, how many of each size pizza did she buy? Let x represent the number of medium pieces and let y represent the number of large pizzas
There are 3 medium pizzas and 6 large pizza.
How to illustrate the equation?Let medium pizza = x
Let large pizza = y
Since she she places the order from Tony's pizza across the street, she learns that each medium pizza has 6 slices, and each large pizza has 8 slices and Ms. Johnson orders 9 total pizzas with a total of 66 slices
This will be:
x + y = 9 ..... i
6x + 8y = 66 ..... ii
From i, x = 9 - y
Put this into equation ii
6x + 8y = 66
6(9 - y) + 8y = 66.
54 - 6y + 8y = 66.
2y = 12
Divide
y = 12/2
y = 6.
Therefore there are 6 large pizzas
Medium pizza = 9 - 6 = 3
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A consumer organization was concerned that an automobile manufacturer was misleading customers by overstating the average fuel efficiency measured in miles per gallon or mos) of a particular car model. The model was advertised to get 27 mpg. To investigate the researchers selected a random sample of 10 cars of the model. Each car was then randomly assigned a different driver. Each car was driven for 5000 miles and the total fuel consumption was used to compute the mpg for the car. What is the parameter of interest? O the mean mpg of the 10 carsO the mpg measurements of this car model O the population of all cars of this particular model O the mean mog of all cars of this particular model
The correct answer is option a). The parameter of interest is the mean mpg of the 10 cars.
This parameter is important because it is the average mpg of the sample that is being used to measure the fuel efficiency of the car model. This parameter is important because it provides an indication of how efficient the car model is. By measuring the mpg of a sample of 10 cars, the researchers can get an indication of how the entire population of cars of this particular model perform.
The mean mpg of all cars of this particular model is the population parameter and is the overall average mpg of all cars of this particular model. The mpg measurements of this car model is the individual measurements for each car in the sample, which are used to calculate the mean mpg of the 10 cars.
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The scalar product of two parallel unit vectors, is equals to one i.e., i.e., = 1 , = 1 and = 1 .
Scalar Product: The scalar product is also known as dot product. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other vector and multiplying it by magnitude of other vector. That gives scalar as a result. Scalar don't have a direction associated with them. The scalar product of vector A and vector B is equal to |A| |B|Cosθ , where |A|, |B| represent magnitude of vector A and vector B and θ angle between the two vectors direction.
We have to determine the scalar product of , and Here and are the unit vectors in the direction along the x-axis. So, they are parallel to each other, that's why θ = 0° and = 1 . Therefore, = (1) (1) cos 0° = 1. Similarly, = 1 ( unit vectors in direction along the y-axis) and = 1 ( along z-axis). Hence, the dot product of the two unit vectors and is equal to one for each
Select all the expressions that can be used to find the price of a $320 tablet after a 45% markup.
A 320 . 4.5
B 320 . 1.45
C 320 . 0.45
D 320 + 320(1.45)
E 320 + 320(0.45)
The markup price is $464 and the expression to find the markup price is 320×1.45
What is markup price?Markup shows how much more a company's selling price is than the amount the item costs the company.
Given that, the price of a $320 tablet after a 45% markup.
This mean that, the tablet price is being hiked by 45%,
Therefore,
Total price will be = 45% of 320 + 320
= 45 / 100 x 320 + 320
= 144 + 320
= 464
Hence, the markup price is $464 and the expression to find the markup price is 320×1.45
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given a and b, determine the least-squares error in the least-squares solution of ax equals b.
The least-squares error in the least-squares solution of ax = b is given by the equation:
[tex]||b - ax||^2 = (b - ax)^T(b - ax) = b^Tb - 2a^Tbx + a^Tax[/tex]
The least-squares solution is the value of x that minimizes this error. This occurs when the derivative of the error with respect to x is equal to zero, and the second derivative is positive.
To find the least-squares solution, we take the derivative with respect to x and set it to zero:
[tex]-2a^T(b - ax) = 0\\a^Tb = a^Tax[/tex]
This gives us the normal equation, which is the equation that x must satisfy in order to minimize the error. The solution of this equation is:
[tex]x = (a^Ta)^-1a^Tb[/tex]
This is the least-squares solution of the equation ax = b, and it is the value of x that minimizes the least-squares error. The least-squares error is given by the equation:
[tex]||b - ax||^2 = b^Tb - 2a^Tbx + a^Tax = b^Tb - a^T(a(a^Ta)^-1a^Tb) = b^Tb - a^T(a^Tb)[/tex]
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Gente me ajuda no projeto de matemática quanto é 3743÷250=???
GIVING AWAY FREE CREDS!! JUST ANSWER WITH ANYTHING AND GET REWARDED!!
Answer:
1+1=2
Step-by-step explanation:
2=1+1
How do you find triangle pairs congruent by the HL?
To find triangle pairs congruent by the HL (Hypotenuse-Leg) condition, first identify the hypotenuse (the longest side) and the leg (the side adjacent to it).
Finding Triangle Pairs Congruent by the HL ConditionTo find triangle pairs congruent by the HL condition, first identify the hypotenuse and the leg in each triangle. The hypotenuse is the longest side, while the leg is the side adjacent to it. Once the hypotenuse and leg have been identified in both triangles, measure them to ensure they are the same length. If they are the same length, then the triangles are congruent by the HL condition. If the hypotenuse and leg of both triangles match in length, then the two triangles are congruent to each other. This means all three sides of the two triangles will be the same length, making them congruent by the HL condition.
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The Bobcats football coach logged the following yardage gains, and losses over four game plays.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
Answer:
lose 12y yards AKA( 3rd option)
Step-by-step explanation:
Answer: 77x+21y
Step-by-step explanation:
rosie the ribbeter loves the three-jump,two-step event. if she completes the three-jump,two-step cycle 5 times, alex thinks the sequence can be written as 15j +2 Sara doesn't agree
Alex's expression about the sequence is incorrect and Sara's thought is correct
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Event: Three-jump, two-step cycle
Represent the number of jumps with x
So, we have the following representation
Event: Three- x, two-step cycle
When represented as an equation, we have
Event = 3x + 2
The number of times is 5
So, the sequence is represented as
Sequence = Event * 5
Substitute the known values in the above equation, so, we have the following representation
Sequence = (3x + 2) * 5
Evaluate the product
Sequence = 15x + 10
This means that the sequence is 15x + 10
Hence, Alex is incorrect and Sara is right
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(BRAINLIEST IF CORRECT) Brice has twice as many stamps in his collection as his friends Anthony and Paul
combined.
Paul has 32 stamps in his collection Brice has 96 stamps in his
collection. How many stamps does Anthony have in his collection?
The equation 2(x +32)=96 models this situation. Which choice
shows the sequence of operations needed to solve this problem, using
both arithmetic and algebra?
Answer: B is correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
96=(32+x)x2=?
a student is working in an optics lab and has a light bulb which is 90 cm from a screen. She needs to make a real image of the bulb on the screen and shehas a positive lens witha focal length of 12.5 cm. Find two places she can put the lens andgive object and imagedistances to both setups.
The two places she can put lens and give object and image distances are 15cm and 75cm.
The Lens equation gives us:
1/f = 1/u + 1/v
From the problem we know that,
v=90-u
By solving
u² - 90u + 1125 = 0.
An optical system's focal length, which is the inverse of the system's optical power, indicates how strongly the system converges or diverges light. A system with a positive focal length is said to converge light, and one with a negative focal length is said to diverge light.
A negative focal length, on the other hand, indicates how far in front of the lens a point source must be located to form a collimated beam, for the special case of a thin lens in air, where a positive focal length is the distance over which initially collimated (parallel) rays are brought to a focus. For more generic optical systems, the focal length is merely the inverse of optical power and lacks any intuitive significance.
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Pat does a lot of traveling in her car, she keeps records on how often she fills her car with petrol. The table alongside shows the frequencies of the number of days between refills. Estimate the likelihood that:
A) there is a four day gap between refills.
B) there is at least a four day gap between refills.
At least 4 days means 4 or more; in this example, 4, 5, or 6
a 17/190 ≈ 0.089
b 24/190 ≈ 0.126
How often she fills her car with petrol?Step 1:
At least 4 days means 4 or more; in this example, 4, 5, or 6. So
Estimated Probability (Car Refill Gaps)
in general ,estimated probability observe =The frequency of a particular
outcome/The no: of times an
experiment is
repeated
This particular task observes=The no: of time a 4 day refill gap occurs/
The total frequency of refill gap
days
Case a total of 190 refill gap days occurred. Of those 17 were 4 days gap
Estimated probability in these case 17/190 or 0.089
This particular task observe= The no : of times 4 day or more refill gap
occurs/The total frequency of refill gap
day
Case a total of 190 refill gap day occurred of these 24 were 4+ day gap
Estimated probability in these case 24/190 or 0.126
Step 2:
a 17/190 ≈ 0.089
b 24/190 ≈ 0.126
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Interpreting the meaning of the derivative in context Due to the tide, the water level rises and falls daily in Buzzard's Bay. D gives the depth of the water, in meters, t hours after midnight on a certain day. What is the best interpretation for the following statement? The value of the derivative of D at t = 8 is equal to -0.5. Choose 1 answer At 8 a.m. the water level decreased at a rate of 0.5 meters per hour. At 8 a.m. the water level decreased at a rate of 0.5 meters. At 8 a.m. the water level was 0.5 meters below sea level. D Until 8 a.m. the water level decreased at a rate of 0.5 meters per hour.
The value of the derivative of D at t = 8 is equal to -0.5 is At 8 a.m. the water level decreased at a rate of 0.5 meters per hour.
A function that has a derivative at each point in its domain is referred to as a differentiable function of one real variable in mathematics.
In other words, a graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function has no break, angle, or cusp and is smooth (it is locally well approximated as a linear function at each interior point).
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IfMNO~ QRS, find x. Round to the nearest tenth.
MN = 10
NO=x
QR=5
RS 7
Answer:
x = 14
Step-by-step explanation:
given Δ MNO and Δ QRS are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{NO}{RS}[/tex] = [tex]\frac{MN}{QR}[/tex] ( substitute values )
[tex]\frac{x}{7}[/tex] = [tex]\frac{10}{5}[/tex] = 2 ( multiply both sides by 7 to clear the fraction )
x = 7 × 2 = 14
help with geometry please fast
Answer: 10
Step-by-step explanation:
Using the Pythagorean theorem we know a^2 + b^2 = c^2.
We can plug in 8 and [tex]2\sqrt{41[/tex] for b and c.
a^2 + 8^2 = [tex]2\sqrt{41}[/tex]^2
a^2 + 64 = 164
a^2 = 100
a = 10
The diagram shows a convex polygon. What is the sum of the interior angle measures of this polygon?
The sum of the interior angle measures of the given polygon , given that it is a convex polygon is 540 °
How to find the sum of the angles ?The polygon given is a convex polygon , and has 5 sides . This means that it is a Pentagon .
Each interior angle in a regular convex pentagon, measures 108 ° . This means that the sum of the interior angle measures is therefore :
= Measure of interior angles x Number of angles in Pentagon
= 108 x 5
= 540 °
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find the exact length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x))
The exact length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) is 2.527.
The exact length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) can be calculated using the formula for arc length.
This formula states that the length of a parametric curve from t=a to t=b is equal to the integral of the square root of the sum of the squares of the respective derivatives of x and y, evaluated from a to b.
Using this formula, the length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) can be calculated by integrating the square root of (1-2x)^2 + (1/sqrt(x))^2 from 0 to 1. This yields a length of approximately 2.527.
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Chocolate bars are $0.85 each. Gummy worms are $1.15 per package. Cora buys some of each.
If c represents the number of chocolate bars and g represents the number of packages of gummy
worms, what expression could be used to find how much Cora spent?
The expression that represents how much Cora spent = $0.85c + $1.15 g
What is expression?
An expression is a mathematical statement used to represent the method of a mathematical operation in a symbolic form.
Mathematical terms and operators are combined to form an expression.
Terms can be numerical or numerical and variables both.
As example 3y + 5 z + 10 is an expression that has been developed based on two variables y and Z, three numbers 3, 5 and 10.
How can be the expression given in question?Given, cost of each chocolate bar = $0.85
cost of Gummy worms per package = $1.15
If c is the numbers of chocolate bar and g is the number of packages of Gummy worms that Cora bought, then the expression will be
$0.85 c + $1.15 g
which has two variables and two decimal numbers
hence, Cora spent $0.85c + $1.15g
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I NEED HELP, GUYS DO WHAT YOU DO BEST.
Answer:
Geometric -64, 128,-256
Step-by-step explanation:
It follows the same pattern of alternating + and - and has the quadratic increase as the others
Answer: B
Step-by-step explanation:
In the diagram below, right ∆ is the image of right ∆ after a dilation centered at the
origin, with (0,0), (3,0), (4.5,0),(0,6) and (0,4).
Determine and state the scale factor.
The scale factor of the dilation is 1.5.
What is scale factor?Scale factor is a numerical value used to describe the relationship between two different measurements. It is used to compare two measurements of the same type, such as length, area, or volume. The scale factors are used in many mathematical equations and can be used to enlarge or reduce an image or object. For example, a scale factor of two would cause a two-dimensional object to double in size while a scale factor of one-half would cause the object to halve in size.
This can be determined by dividing the length of the sides of the original triangle by the length of the sides of the image triangle. For example, the length of the side of the original triangle connecting (0,0) and (3,0) is 3, and the length of the side of the image triangle connecting (0,0) and (4.5,0) is 4.5. Dividing 4.5 by 3 gives 1.5, which is the scale factor.
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