The answer using probability are shown:
(A) 43/60 projection is used.
(B) He shouldn't alter the estimate in light of this knowledge.
What is probability?Simply put, the probability is the likelihood that something will occur.
When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes.
Statistics is the study of occurrences that follow a probability distribution.
Mathematics' study of random events is known as probability, and there are four major kinds of probability: axiomatic, classical, empirical, and subjective.
So, he would calculate the amount by dividing the overall number of bricks by the proportion of green bricks. The likelihood of choosing a green block out of all 60 bricks would be that.
Then, the probability would be:
= 43/60
Andre shouldn't alter his assessment, in other words.
The explanation is that we do not know whether the bricks he saw were green in color; we are only told that she looked in the bag and found 6 bricks.
The only time Andre needs to adjust his guess is if it turns out that the six bricks Mai saw in the bag were, in fact, green.
The estimate should not be altered until this proof is received.
Therefore, the answer using probability are shown:
(A) 43/60 projection is used.
(B) He shouldn't alter the estimate in light of this knowledge.
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Complete question:
Andre picks a block out of a bag 60 times and notes that 43 of them were green. What should Andre estimate for the probability of picking out a green block from this bag? Mai looks in the bag and sees that there are 6 blocks in the bag. Should Andre change his estimate based on this information? If so, what should the new estimate be? If not, explain your reasoning.
a 86-ft tree casts a shadow that is 110 ft long. what is the angle of elevation of the sun? round the answer to two decimal places
The angle of elevation of the sun is 38.24 degrees (rounded to two decimal places).
The ratio of the height of the tree and the length of the shadow can be found by using the formula for tan which is given by:
tan(x) = (opposite/hypotenuse)
In the given problem statement, the height of the tree is opposite to the angle we are trying to find and the length of the shadow is the hypotenuse of the right-angled triangle. Therefore, we can say that:
tan(x) = opposite/hypotenuse = 86/110
We can use the inverse tangent function to find the value of x. This is because tan is the ratio of the opposite side (height of the tree) to the adjacent side (length of the shadow), and the inverse tangent function gives the angle that has that ratio.
So, tan x = 86/110 => x = tan⁻¹ (86/110) = 38.24 degrees (rounded to two decimal places). Therefore, the angle of elevation of the sun is 38.24 degrees.
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Decorative sheets of paper sell for
$0.16 per sheet. How many sheets
are sold for $7.84?
Answer:
42 sheet of paper
Step-by-step explanation:
$7.84 divided by $0.16
This equals 42
After spending 7 dollars and 84 cents, 42 sheets of paper will be sold.
Rewrite the following equation in slope-intercept form:
17x-17y=-9
Answer:
y=x+9/17
Step-by-step explanation:
easy question that's all :) have a great day
Which of the following is an example of quantitative data?A. North America is moving across Earth's surface several centimeters per yearB. the river has flooded a low-lying areaC. the volcano is releasing much steamD. volcanoes are dangerousE. when held, one rock feels heavier than another rock
The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year
Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.
Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.
B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.
C. The volcano is releasing much steam describes a qualitative observation of steam release.
D. Volcanoes are dangerous makes a general statement without providing specific numerical information.
E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.
Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.
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What is the decimal multiplier to increase by 6. 1%?
Answer: 1.061
Step-by-step explanation:
1). Based on conditions, formulate: 1+6.1%
2). Then convert to a decimal: 1.061
Simplify the Following
4×7-63÷9+20
Answer:
41
Step-by-step explanation:
pay attention to the order of operation
4*7 - 63/ 9 +20, first multiplication and division from left to right
28 - 7 + 20 , second addition and subtraction from left to right
21 +20
41
Answer:
Step-by-step explanation:
Use PEDMAS
First perform division, then multiplication and then addition & subtraction.
4 * 7 - 63÷9 + 20 = 4*7 - 7 + 20 {Division}
= 28 - 7 + 20 {Multiplication}
= 41
how many solutions are there to the equation below?
3x+5+4x=7x+9
select one:
1: one solution
2: no solution
3:infinite solutions
Sketch the region of integration and write an equivalent integral with the order of integration reversed for the integral ∫∫xydydx. Evaluate the integral in both forms.
The equivalent integral with the order of integration reversed is:
∫∫xy dydx = ∫(∫xy dy)dx = ∫\((1/2)y^3\) dx =\((1/8)y^4\)
The value of the integral ∫∫xy dydx is 0.
To sketch the region of integration for the integral ∫∫xy dydx, we need to determine the limits of integration for both x and y. The limits of integration for x will depend on the value of y, while the limits of integration for y will be fixed.
First, let's determine the limits of integration for y. Since there are no restrictions on the value of y, the limits of integration for y are from negative infinity to positive infinity:
-∞ < y < ∞
Next, let's determine the limits of integration for x. The lower limit of integration for x is 0, since x cannot be negative. The upper limit of integration for x is determined by the equation of the line y = x. Solving for x, we get:
x = y
Therefore, the upper limit of integration for x is y.
Thus, the region of integration is the entire xy-plane except for the line x = 0. We can sketch this region as follows:
|\
| \
| \
| \
________|____\_____
| \
| \
| \
|________\
x = 0
To write an equivalent integral with the order of integration reversed, we can swap the order of integration and integrate with respect to y first, and then with respect to x. The limits of integration will be the same as before, except that the order will be reversed:
∫∫xy dydx = ∫(∫xy dy)dx
The inner integral with respect to y is:
∫xy dy = \((1/2)x y^2\)
Integrating this with respect to x from 0 to y, we get:
∫\((1/2)x y^2\) dx = \((1/2)y^3\)
Therefore, the equivalent integral with the order of integration reversed is:
∫∫xy dydx = ∫(∫xy dy)dx = ∫\((1/2)y^3\) dx =\((1/8)y^4\)
Evaluating this integral over the limits of integration for y from negative infinity to positive infinity, we get:
∫∫xy dydx = (1/8)∫\(y^4\) dy from -∞ to ∞
\(= (1/8) [(\infty)^4 - (-\infty)^4]\)
= (1/8)(∞ - ∞)
= 0
Therefore, the value of the integral ∫∫xy dydx is 0.
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1. The region of integration for the integral ∫∫xy dy dx is a rectangle in the xy-plane.
2. The equivalent integral with the order of integration reversed is ∫∫xy dx dy.
3. Evaluating the integral in both forms yields the same result of 1/4.
Explanation:
1. The region of integration for the integral ∫∫xy dy dx is a rectangle in the xy-plane. The limits of integration for x are determined by the width of the rectangle, and the limits of integration for y are determined by the height of the rectangle. The boundaries of the rectangle are not specified in the given problem, so we will assume finite values for the limits.
2. To write an equivalent integral with the order of integration reversed, we switch the order of integration and replace the variables. The equivalent integral is ∫∫xy dx dy. Now, the limits of integration for y will determine the width of the rectangle, and the limits of integration for x will determine the height of the rectangle.
3. Evaluating the integral in both forms will yield the same result. Let's compute the integral:
∫∫xy dy dx = ∫[from a to b] ∫[from c to d] xy dy dx
Integrating with respect to y first:
∫[from a to b] (1/2)xy^2 (evaluated from c to d) dx
= ∫[from a to b] (1/2)x(d^2 - c^2) dx
= (1/2)(d^2 - c^2) ∫[from a to b] x dx
= (1/2)(d^2 - c^2)(1/2)(b^2 - a^2)
= (1/4)(d^2 - c^2)(b^2 - a^2)
Now, integrating with respect to x:
∫∫xy dx dy = ∫[from c to d] ∫[from a to b] xy dx dy
Integrating with respect to x first:
∫[from c to d] (1/2)x^2y (evaluated from a to b) dy
= ∫[from c to d] (1/2)(b^2 - a^2)y dy
= (1/2)(b^2 - a^2) ∫[from c to d] y dy
= (1/2)(b^2 - a^2)(1/2)(d^2 - c^2)
= (1/4)(d^2 - c^2)(b^2 - a^2)
Both forms of the integral yield the same result:
(1/4)(d^2 - c^2)(b^2 - a^2) = (1/4)(b^2 - a^2)(d^2 - c^2)
Therefore, the value of the integral in both forms is the same, which is (1/4)(b^2 - a^2)(d^2 - c^2).
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Line segment pq is a directed line segment beginning at p(6,-5) and ending at q(-2,4). find point r on the line segment pr that partitions it into the segments pr and pq in the ratio 3:2.
Using proportions, the coordinates of point R are given as follows: R(1.2, 0.4).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Segments pr and pq are partitioned in the ratio 3:2, hence:
\(PR = \frac{3}{5}PQ\)
\(R - P = \frac{3}{5}(Q - P)\)
The points are:
R(x,y).P(6,-5).Q(-2,4).For the x-coordinate, we have that:
\(R - P = \frac{3}{5}(Q - P)\)
\(x - 6 = \frac{3}{5}(-2 - 6)\)
x - 6 = -4.8
x = 1.2.
For the y-coordinate, we have that:
\(R - P = \frac{3}{5}(Q - P)\)
\(y + 5 = \frac{3}{5}(4 + 5)\)
y + 5 = 5.4.
y = 0.4.
The coordinates are: R(1.2, 0.4).
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Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?
Answer:
english plz
Step-by-step explanation:
Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
someone please help ASAP!!!
100 points and brainliest
A pizza shop wants to determine how often it delivers to three different areas of a city. The table shows the areas from a random sample of 8080 deliveries.
Based on these data, if the driver makes 200200 deliveries, how many deliveries will be to the southern area of the city?
Answer:
4400
Step-by-step explanation:
One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.
Answer:
2160
Step-by-step explanation:
1872(volume of the cube)+288(volume of the square pyramid)=
2160
v of cube= lwh
v of square pyramid= a² times h/3
please mark brainliest!
Find the missing side length
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
does anyone know this?
what is the solution of the equation. Find the value of y when x equals 1 9x+7y= -12
Answer:
-3
Step-by-step explanation:
Since x=1, we can simplify the equation to 9+7y=-12.
To find the value of 7y, we first have to find what is missing.
-12-9=-21, so 7y has to be equal to -21. -21/7 equals -3, so y=-3.
A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
(a)
Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic. (Round your answer to two decimal places.)
The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.
Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:
p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.
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Construct the graph of the direct proportion y=kx for each value of k k=3x
the answer is 3x²
Step-by-step explanation:
we know that k = 3x
when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²
Answer: the answer is 3x^2 three x to the power of 2
Please help I have been stuck for a while now
Answer:
B. Between x 2 and x 3
Step-by-step explanation:
what is the range of the function g(x)=|x-12|-2?
Answer:-14
Step-by-step explanation:
Answer:
{y | y > 12}
Step-by-step explanation:
just took the test
Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following. Number of Kilowatt-Hours Number of Kilowatt-Hours Rooms (thousands) Rooms (thousands) 12 9 8 6 9 7 10 8 14 10 10 10 6 5 5 4 10 8 7 7 a. Determine the regression equation. B. Determine the number of kilowatt-hours, in thousands, for a six-room house
For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house is mathematically given as
Y = 1.33-0.667X and 5.3332
What is the number of kilowatt-hours, in thousands, for a six-room house?Generally, the equation for the standard deviation is mathematically given as
\(s\)ₓ =\(\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }\)
= \(\sqrt{\frac{66.9}{10-1} }\)
= 2.72
\(s_y\) = \(\sqrt{\frac{36.4}{10-1} }\)
= 2.01
therefore correlation coff
r = \(\frac{44.6}{(10-1)(2.72)(2.01)}\)
r = 0.9038
In conclusion the regression equation is given
b = r_sy/sx
b = (0.9038)(2.01/2.72)
= 0.667
intercept
a = 7.4-0.667(9.1)
a = 1.33
The regression equation is
Y = 1.33-0.667X
(b) number of kilowatts x = 6 house
Y = 1.33-0.667X
Y = 1.33-0.667(6)
= 5.3332
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let's say we calculate the residuals from both the empty model and the complex model. what is similar about these two sets of residuals? responses
both sets of residuals represent the unexplained variation in the response variable, and can be used to assess the goodness of fit of the model and identify any potential issues or problems with the model.
residuals from the empty model and the complex model are similar in that they both represent the variation in the response variable that is not explained by the predictor variables in the model.
In the case of the empty model, the residuals are simply the differences between the observed response values and the overall mean of the response variable. These residuals represent the total variation in the response variable before any predictor variables are included in the model.
In the case of the complex model, the residuals are the differences between the observed response values and the predicted values from the model. These residuals represent the remaining variation in the response variable that is not accounted for by the predictor variables in the model.
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express the number as a ratio of integers. 0.6 = 0.6666
The is expres 0.6 can be expressed as a ratio of integers by rewriting it in fraction form 3/5.
This can be seen by dividing the numerator (6) by the denominator (10) and then dividing the numerator (3) by the denominator (5). The result is 0.6 = 3/5.
To explain further, fractions are mathematical expressions that represent a ratio of two integers. For example, 6/10 represents the ratio of 6 to 10, or three fifths (3/5).
This can be seen by simplifying the fraction; dividing the numerator by the denominator will yield the same result. For example, 6/10 can be simplified to 3/5. So 0.6 can be expressed as a ratio of integers 3/5.
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on a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or 3π/2 in radian measure).
At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.
To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.
The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.
For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).
In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.
Using the angle 270 degrees (or 3π/2 in radian measure):
x-coordinate = 2 * cos(3π/2)
y-coordinate = 2 * sin(3π/2)
Evaluating these expressions:
x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0
y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2
Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.
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The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.
What is the domain of the relation?
{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}
Based on the graph, the domain of the relation include the following: B. {−4, −2, 0, 3, 5}.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By critically observing the graph, we can reasonably and logically deduce the following domain:
Domain = {−4, −2, 0, 3, 5}.
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solve the following using BEDMAS
5X4 -(3+1)2÷2
the value of the expression is 12.
To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.
The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.
It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.
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I need the answer to the problem 40=x/0.3
Answer:
x= 12
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
you need to isolate x. to do that, use inverse operations (if the equation includes addition, subtract, if it's multiplication, divide, etc)
40 = x/0.3 multiply by 0.3 on both sides
40 (0.3) = x/0.3 (0.3) the 0.3 will cancel each other out
x = 40 x 0.3 multiply
x = 12
6. Pre-CS responding of 81 and a CS responding of 49 : ?
7. What does CS responding mean?
8. What does a suppression ratio of zero mean? Explain in terms of both responding and fear.
CS responding of 81 refers to the response to a conditioned stimulus. A suppression ratio of zero means no fear response is observed, indicating no learned association between the conditioned stimulus and the aversive outcome.
“CS responding” refers to the response elicited by a conditioned stimulus (CS). A conditioned stimulus is a neutral stimulus that, through repeated pairing with an unconditioned stimulus (UCS), acquires the ability to elicit a conditioned response (CR). The CS responding value represents the level or frequency of the conditioned response.
Now, let’s address the concept of a suppression ratio. In fear conditioning experiments, a common way to measure fear is through a suppression ratio, which is calculated by dividing the number of responses emitted during the CS presentation by the total number of responses emitted during a specific period, usually including both the CS and a baseline period.
A suppression ratio of zero indicates that no suppression of responding occurs during the presentation of the conditioned stimulus. This means that the individual is not showing any reduction in their responding when the CS is presented compared to the baseline period.
In terms of both responding and fear, a suppression ratio of zero suggests that the individual is not associating the CS with the aversive outcome (UCS) and does not exhibit any fear response. Essentially, there is no behavioral evidence of conditioned fear or a learned association between the CS and the aversive stimulus.
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Here are two closed containers and four balls just fit in each container. Each ball has a diameter of 54 mm. Which container has the smaller surface are? You must show your working
both containers have the same surface area and neither has a smaller surface area than the other.
Container 1:
Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2
Total surface area of 4 balls = 12,370.48 mm^2
Container 2:
Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2
Total surface area of 4 balls = 12,370.48 mm^2
Both containers have the same surface area.
To calculate the surface area of the two containers, I first calculated the surface area of one ball by using the formula π x (diameter/2)^2. I then multiplied this by 4 to get the total surface area of 4 balls. I repeated this process for both containers and found that both containers had the same surface area of 12,370.48 mm^2. both containers have the same surface area and neither has a smaller surface area than the other.
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There are 40 coins in a roll of quarters. The change machine at the local arcade holds 320 rolls of quarters. How many quarters does the change machine hold?
A
128
B
1,280
C
12,800
D
128,000
Answer:
C, 12,800
Step-by-step explanation:
40 x 320 = 12,800