Answer:
He made 5 2-pointers and 4 3-pointers
Step-by-step explanation:
Let x = number of 2-pointers he scored.
Let y = number of 3 pointers he scored.
The total number of shots he made is x + y, and it it equals 9.
The first equation is
x + y = 9
The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.
The second equation is
2x + 3y = 22
We have a system of 2 equations.
x + y = 9
2x + 3y = 22
We will use the substitution method.
Solve the first equation for x.
x = 9 - y
Now substitute 9 - y in for x in the second equation.
2x + 3y = 22
2(9 - y) + 3y = 22
18 - 2y + 3y = 22
y + 18 = 22
y = 4
Now we substitute 4 for y in the first equation and solve for x.
x + y = 9
x + 4 = 9
x = 5
Answer: He made 5 2-pointers and 4 3-pointers
Check:
5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.
Now we check the number of points.
5 * 2 + 4 * 3 = 10 + 12 = 22
22 points is the correct total.
Our answer is correct.
two fan blades in the shape of equilateral triangles are rotates clockwise around point p. how many degrees will the blades have rotates when vertex d reaches the point where vertex c is nwo
The fan blades will have rotated 180 degrees when vertex D reaches the point where vertex C is now.
When the two fan blades in the shape of equilateral triangles rotate clockwise around point P, the vertex D will reach the point where vertex C is now.
To determine the number of degrees the blades will have rotated, we need to know the number of degrees in a full rotation. A full rotation consists of 360 degrees.
Since both blades rotate together, they will cover the same number of degrees. Therefore, when vertex D reaches the point where vertex C is now, the blades will have rotated by half of a full rotation, which is 180 degrees.
In summary, the fan blades will have rotated 180 degrees when vertex D reaches the point where vertex C is now.
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Kyle has 105 baseball cards and must give 1/5 of his figures away. How many cards will Kyle give away? What fraction of his cards does he have left?
Answer:
I think it would be 21, because 105 / 5 is 21, and if the denominator is the holder spot, it should be 21
suppose that for some hypothesis test on the mean of a normally distributed population, standard deviation known, the p-value is computed as 0.11. if a level of significance of 0.05 is used, is rejecting the null hypothesis in favor of the alternative the correct decision?
If the p-value for a hypothesis test is greater than the chosen level of significance, then the null hypothesis cannot be rejected.
In this case, the p-value is 0.11 and the level of significance is 0.05. Since the p-value is greater than the level of significance, we cannot reject the null hypothesis.
Therefore, we do not have sufficient evidence to conclude that the population mean is different from the hypothesized value. In other words, we do not have enough evidence to support the alternative hypothesis.
Thus, rejecting the null hypothesis in favor of the alternative hypothesis is not the correct decision in this case.
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Belinda is buying fencing for her vegetable garden to keep her dogs out. The length of her garden is 15. 6 feet, and the width is 10. 8 feet. How much fencing material should she purchase to build the fence around the garden?
A. 168. 48 ft
B. 54 ft
C. 52. 8 ft
D. 26. 4
Belinda needs to purchase a rectangular perimeter garden of 52.8 ft of fencing material to build the fence around her vegetable garden.
To calculate the amount of fencing material required, we need to find the perimeter of the rectangular garden, which is the sum of all four sides. The length and width of the garden are given as 15.6 feet and 10.8 feet, respectively. Therefore, the perimeter is:
Perimeter = 2 x (Length + Width)
Perimeter = 2 x (15.6 + 10.8)
Perimeter = 2 x 26.4
Perimeter = 52.8 ft
Hence, Belinda needs to purchase 52.8 ft of fencing material to build a fence around her vegetable garden, which will be sufficient to cover the entire perimeter of her rectangular garden.
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Nasim invests money in an account paying a simple interest of 1. 3% per year. If he invests $70 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?
If Nasim invests money in an account paying a simple interest of 1. 3% per year and he invests $70 and no money will be added or removed from the investment, the amount he will have in one year is 70 dollars and 91 cents
Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:
Interest = P * r * t
where P is the principal
r is the rate of interest (in decimal)
t is the time
Given in the question,
P = $70
r = 1.3% = 0.013
t = 1 year
Interest = 70 * 0.013 * 1
= $0.91
Amount = P + i
where P is principal
i is interest
A = 70 + 0.91
A = $70.91
The amount that Nasim has after 1 year is $70.91.
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what is the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each?
2/221 is the probability that a 2-card hand has two queens, two kings, or one of each.
What is probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or the probability that a statement is true.Probability varies between zero and 1, wherein zero approaches are not possible and 1 approach is certain.Now, calculate the probability as follows:
There are 4 kings and 4 queens in a deck of cards.Then, it can be either KK or QQ.
Select 2 kings from 4 king cards that can be done in 4c₂=6 ways.Select 2 queens from 4 queen cards that can be done in c₂ = 6 ways.Total ways = 52c₂ = 1326So required probability = 2king or 2 queen
= 6/1326 + 6/1326= 12/1326= 2/221Therefore, the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each is 2/221.
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You have two pieces of rope. One piece is of rope is 98 feet and the other is 56 feet. You need to cut the rope into equal lengths with non left over. What is the greatest possible lenth you can cut the rope so all peices will be the same
Answer:
14 feet
Step-by-step explanation:
We solve the above question by using the Greatest Common Factor method
We find the factors of 56 and 98
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14.
Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet
In simple linear regression, the following sample regression equation is obtained:
y-hat = 436 - 17x
1) Interpret the slope coefficient.
a. As x increases by 1 unit, y is predicted to decrease by 436 units.
b. As x increases by 1 unit, y is predicted to increase by 17 units.
c. As x increases by 1 unit, y is predicted to decrease by 17 units.
d. As x increases by 1 unit, y is predicted to increase by 436 units.
Option b accurately interprets the slope coefficient in the context of the regression equation provided. b. As x increases by 1 unit, y is predicted to decrease by 17 units.
In the given sample regression equation, the slope coefficient (-17) represents the rate of change in the predicted value of y (y-hat) for each one-unit increase in x. Since the coefficient is negative, it indicates a negative relationship between x and y.
Specifically, for every one-unit increase in x, the predicted value of y is expected to decrease by 17 units. Therefore, option b accurately interprets the slope coefficient in the context of the regression equation provided.
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All other things equal, the margin of error in one-sample z confidence intervals to estimate the population proportion gets larger as: On gets larger. O p approaches 0.50. O C-1-a gets smaller. p approaches
The margin of error is a measure of the degree of uncertainty associated with the point estimate of a population parameter. Confidence intervals are constructed to estimate the true value of a population parameter with a certain level of confidence.
The margin of error and the width of the confidence interval are related, in that a larger margin of error implies a wider confidence interval.
When constructing a one-sample z-confidence interval to estimate the population proportion, the margin of error increases as the sample size increases. This is because larger sample sizes provide more information about the population and, as a result, the estimate becomes more precise. Conversely, as the sample size decreases, the margin of error increases, making the estimate less precise.
The margin of error also increases as the population proportion approaches 0.50. This is because when p=0.50, the population is evenly split between the two possible outcomes. As a result, more variability is expected in the sample proportions, leading to a larger margin of error.
Finally, the margin of error decreases as the confidence level (1-a) increases. This is because a higher confidence level requires a wider interval to account for the additional uncertainty associated with a higher level of confidence. In conclusion, the margin of error in one-sample z confidence intervals is affected by sample size, population proportion, and confidence level.
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14.3 Consider the following T-ARCH model:
h1 = 8+αje2+yd1-1e-1
530
d
=
-{
e, <0
(bad news)
e, ≥0
(good news)
TIME-VARYING VOLATILITY AND ARCH MODELS
(a) If y is zero, what are the values of h, when e,-1=-1, when e1-1 = 0, and when e1-1 = 1?
= 0, and
(b) If y is not zero, what are the values of h, when e-1-1, when e-1 = when e1-1 = 1? What is the key difference between the case y = 0 and y #0?
The given T-ARCH model represents a time-varying volatility model with a parameter α. The model calculates the values of h, which represent conditional variances, based on the previous error term (e-1) and a lagged value of the conditional variance (yd1-1).
The task is to determine the values of h when the error term (e) takes different values, specifically when y is zero and when y is not zero. The key difference between these cases will be explained.
(a) When y is zero, the values of h can be determined by substituting the given values of the error term (e-1) into the model equation. Specifically, we need to calculate h when e-1 equals -1, 0, and 1. By plugging in these values and solving the equation, we can find the corresponding values of h, which represent the conditional variances in each case.
(b) When y is not zero, the values of h will depend on both the error term (e-1) and the value of y. Similarly, we need to calculate h when e-1 equals -1, 0, and 1, but this time taking into account the non-zero value of y. The key difference between the case where y is zero and the case where y is not zero is that the presence of y introduces an additional factor that influences the values of h. This factor represents the impact of the non-zero value of y on the conditional variances, resulting in potentially different values compared to the case where y is zero.
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(q007) identify the true statement. group of answer choices p-waves and s-waves are seismic surface waves. s-waves are compressional body waves, while p-waves are shear body waves. surface waves are the first to show up on a seismogram recording of a quake. surface waves typically have the largest amplitude.
In this case, the true statement is that surface waves typically have the largest amplitude.
Explanation:
What are seismic waves?
Seismic waves are vibrations that travel through the earth's layers and carry the energy from an earthquake's release. Seismic waves are divided into two main types: body waves and surface waves.
Body waves are waves that travel through the earth's interior and have two different types: P-waves, or primary waves, and S-waves, or secondary waves.
Surface waves are the waves that travel along the earth's surface and are responsible for the most significant destruction during an earthquake. Surface waves are divided into two types: Rayleigh waves and Love waves.
Surface waves typically have the largest amplitude, which means that they are the ones that shake the most and cause the most significant destruction.
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Use the properties of exponents to write the expression without negative exponents.
The equivalent of the expression is w⁴z⁵/s⁶r⁵
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
s⁻⁶r⁻⁵w⁵z⁵w⁻⁹
Evaluate the like factors using the law of indices
So, we have the following representation
s⁻⁶r⁻⁵w⁴z⁵
Rewrite the expression without negative exponents.
So, we have
w⁴z⁵/s⁶r⁵
hence, the expression is w⁴z⁵/s⁶r⁵
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A football is kicked into the air. It's height in meters after t seconds is given by h= -4.9(t-2.4)^2+29.
a. What was the height of the football when it was kicked?
b. What was the maximum height of the ball? At what time was the maximum height reached?
c. How high was the ball after 2 seconds?
d. Was the ball still in the air after 5 seconds?
The height of the football when it was kicked is 0.776 meter.
The maximum height of the ball is 29 meters, at a time of 2.4 seconds.
The height of the football after 2 seconds is 28.87 meter.
No, the ball was not in the air after 5 seconds.
What is the vertex form of a quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic equation is modeled by this formula:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.The football was kicked when t = 0, so the height is given by;
h(0) = -4.9(0 - 2.4)² + 29
h(0) = 0.776 meter.
For the maximum height of the ball, we have:
Vertex (h, k) = (2.4, 29).
Maximum height, k = 29 meters.
After 2 seconds, the height of the ball is given by;
h(2) = -4.9(2 - 2.4)² + 29
h(2) = 28.87 meter.
After 5 seconds, the height of the ball is given by;
h(5) = -4.9(5 - 2.4)² + 29
h(5) = -4.124 meter.
In conclusion, the ball would not be in the air after 5 seconds because because it would land after 4.124 seconds.
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Suppose the p-value for a hypothesis test is 0.063. Using ? = 0.05, what is the appropriate conclusion?
Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis.
This is because the p-value is greater than the significance level, indicating that there is not enough evidence to reject the null hypothesis. Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis. It is important to note that although the results are not statistically significant, they do not necessarily mean that the null hypothesis is true. The results only indicate that the data does not provide sufficient evidence to reject the null hypothesis at the given significance level. In practice, it is always advisable to consider other factors before drawing final conclusions.
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Given parallelogram L M N O below, LP = 81 If PN = -7x-3 solve for x
Answer:-12x
Step-by-step explanation:
just trust me on this
A histogram of blood alcohol concentrations in fatal accidents shows that BACs are highly skewed right. Explain why a large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC.
A large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC because it allows for a better approximation of a normal distribution according to the Central Limit Theorem, reduces the margin of error, and minimizes the impact of outliers in a highly skewed right distribution.
To understand why a large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC, especially when the histogram of blood alcohol concentrations is highly skewed right.
A histogram of blood alcohol concentrations (BACs) in fatal accidents that is highly skewed right indicates that most of the data points are concentrated on the lower end of the scale, with fewer data points extending to the higher BAC levels. When constructing a confidence interval for the mean BAC of fatal crashes with a positive BAC, a large sample size is necessary for the following reasons:
1. Central Limit Theorem: The Central Limit Theorem (CLT) states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. A larger sample size allows for a better approximation of a normal distribution, which is essential for constructing an accurate confidence interval.
2. Decreased Margin of Error: A larger sample size reduces the margin of error in the confidence interval, leading to a more precise estimate of the true population mean. As sample size increases, the standard error of the sample mean decreases, which narrows the confidence interval.
3. Minimizing the Impact of Outliers: In a highly skewed right distribution, there may be extreme values (outliers) on the higher end of the BAC scale. A larger sample size helps to minimize the impact of these outliers on the mean and the confidence interval, leading to a more accurate representation of the true population mean.
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factorise 8bx -15ay-6by +20ax by using regrouping
Answer:
(2b+ 5) (4x-3y)
Step-by-step explanation:
8bx -15ay-6by +20ax
2b (4x -3y) +5 (4x-3y)
(2b+ 5) (4x-3y)
what’s (e+3)(e+1) ??
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
let's evaluate :
\((e + 3)(e + 1)\)\( {e}^{2} + e + 3e + 3\)\( {e}^{2} + 4e + 3\)Answer:
e² + 4e + 3
Step-by-step explanation:
(e + 3)(e + 1)
Each term in the second factor is multiplied by each term in the first factor , that is
e(e + 1) + 3(e + 1) ← distribute parenthesis
= e² + e + 3e + 3 ← collect like terms
= e² + 4e + 3
Can you provide the solution for this exercise?
Let u(w) = −(b − w)c. What restrictions on w, b, and c are required to ensure that u(w) is strictly increasing and strictly concave? Show that under those restrictions, u(w) displays increasing absolute risk aversion.
under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.
To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.
To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.
Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.
In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.
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What is the vertex form of the equation? y = – x 2 + 12 x – 4 show steps of how you solved please
The vertex form of the equation is in the form of y = a(x-h)^2 + k.
Step 1: Use the formula below to solve for a.
a = -1/4 * (4 - 12) = -1
Step 2: Use the formula below to solve for h.
h = -b/(2a) = 12/(2(-1)) = -6
Step 3: Use the formula below to solve for k.
k = f(h) = -(-6)^2 + 12(-6) - 4 = 36
Therefore, the vertex form of the equation is y = -(x+6)^2 + 36.
In mathematics, what is the vertex?A vertex, or particular point, is a place where two or more lines or edges meet in a mathematical object. Angles, polygons, polyhedra, and graphs are where vertices are most frequently seen. Nodes and vertices in a graph are the same thing.
What is the vertex location?Recall that a parabola's General Form is y = ax2 + bx + c. The x-coordinate of the vertices, which is x = - b/2a, must first be discovered in order to find the vertex from this form. You will use this number to replace x in the parabola equation once you have determined the x-coordinate of the vertex.
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if uhelp u get 30 points pls help in math
Answer:
i dont know
Step-by-step explanation:
q
Study the outcrops of the Mesozoic (green) and Cenozoic (yellow) rocks in the map area. What structures are indicated by these map patterns
The structures indicated by the map patterns of Mesozoic (green) and Cenozoic (yellow) rocks can provide insights into the geological history and tectonic activity of the area.
The presence of linear or curvilinear patterns in the map may suggest the occurrence of faults or fractures in the rocks. Faults are fractures along which rocks on either side have moved relative to each other. These structures can be associated with the movement of tectonic plates and the deformation of the Earth's crust.
Additionally, the map patterns may reveal the presence of folds in the rocks. Folds are bending or flexing of rock layers caused by compressional forces in the Earth's crust. They can result in the formation of anticlines (upward folds) and synclines (downward folds) that can be observed in the map patterns.
The interpretation of the map patterns in terms of specific structures requires careful analysis and additional geological data. Field observations, cross-sections, and geophysical techniques are often employed to gain a better understanding of the geological structures present in the area.
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The figure below is reflected over y-axis and then rotated 180° counterclockwise.
What are the coordinates of the image of point Y after these transformations?
Answer:
The coordinates of point y after the transformation is (-6,5)
Step-by-step explanation:
Firstly , we need to get the coordinates of the point y before the transformation
The coordinates are
(-6,-5)
By reflecting over the y-axis, we have the following change;
(x,y) becomes (-x,y)
So we have;
(6,-5)
Then we are to rotate at an angle of 180 degrees counterclockwise
The operation here will be;
(x,y) to (-x,-y)
So we have;
(6,-5) to (-6,5)
what is the answer need help
Answer:
-5 ≤ y ≤ 3
Step-by-step explanation:
The range of a function is all the possible values that y can be. We can carefully look at the graph to determine the range. It looks like the greatest y can be is 3, since that's the point on the graph where the function stops going up. Now we can trace down the function to find the least y can be.
It looks like the least y can be is -5, since that's the bottom value of the function. Which option uses says that -5 is the least y can be, and 3 is the greatest y can be?
It looks like -5 ≤ y ≤ 3 is this option, so we can select it as our answer.
Hopefully this was helpful... if you have any more questions, let me know. :)
you have started your position as transportation director in a small town called mountainside village. there is only one road in and out of town. today you can expect at peak traffic to see 35 cars per hour and the drive along the road with no traffic is 1 minute. assuming poisson arrival and exponential drive times, what is the current utilization of the road? (4 points)
The current utilization of the road is 0.5833 or 58.33%. To calculate the current utilization of the road, we need to use the formula:
Utilization = Arrival rate x Drive time
Since we are assuming Poisson arrival and exponential drive times, we can use the following formulas:
Arrival rate = λ = 35 cars per hour
Drive time = 1/μ = 1/60 hours (since the drive time is 1 minute)
Therefore,
Utilization = 35 cars per hour x (1/60 hours)
Utilization = 0.5833 or 58.33%
So the current utilization of the road in Mountainside Village is 58.33%.
Hi! As the transportation director of Mountainside Village, we can calculate the current utilization of the road using the given terms. The peak traffic rate is 35 cars per hour, and the drive time without traffic is 1 minute (or 1/60 hours).
Since we're assuming Poisson arrival and exponential drive times, we can calculate the utilization (ρ) using the formula:
ρ = λ / μ
Here, λ represents the arrival rate (35 cars/hour), and μ represents the service rate, which is the inverse of the average drive time (1/60 hours).
So, μ = 1 / (1/60) = 60 cars/hour
Now, we can calculate the utilization:
ρ = 35 cars/hour / 60 cars/hour = 0.5833 (rounded to 4 decimal places)
Thus, the current utilization of the road is 0.5833 or 58.33%.
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Explain which car model (Camry, Fusion, Malibu, Sonata) converts ‘search’ into ‘sales’ the best? Mention 5 best and 5 worst performing states of the model with the best search to sales conversion rate.
Tips:
sales share = sales of product A / sum of sales
search share = search index of product A / sum of search index
To determine which car model (Camry, Fusion, Malibu, Sonata) converts 'search' into 'sales' the best, we can analyze the sales share and search share for each model.
To determine the model with the best search-to-sales conversion rate, we calculate the sales share and search share for each model and compare them. The sales share is calculated by dividing the sales of a specific car model by the sum of sales for all models. The search share is calculated by dividing the search index of a specific car model by the sum of search indices for all models.
After calculating the sales share and search share for each model, we can compare their ratios to identify the model with the highest conversion rate. The model with the highest ratio indicates the one that converts search into sales the best.
To identify the top 5 best-performing states and the top 5 worst-performing states, we need to consider the sales and search data for the model with the highest conversion rate. We can rank the states based on their search-to-sales conversion rate and select the top 5 states with the highest conversion rate as the best-performing states, and the bottom 5 states with the lowest conversion rate as the worst-performing states.
By analyzing these metrics, we can determine which car model demonstrates the best search-to-sales conversion and identify the top-performing and bottom-performing states for that model.
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solve and simplify 2/3 x 3/4
Answer:
6/12 ≈ 1/2
Step-by-step explanation:
Q) 2/3 × 3/4 = ?
→ a = 2/3 × 3/4
→ a = (2 × 3)/(3 × 4)
→ a = 6/12
→ [ a = 1/2 ]
1/2
Multiply the numerators and the denominators of both fractions,
2 * 3
_____
3 * 4
= 6/12
Simplify.
1/2
Plz help ASAP Will mark u brainliest
Answer:
60 square feet
Step-by-step explanation:
area= length*width
a=5*12
a=60
Answer: 60 ft²
Step-by-step explanation: To find the area of the rectangular bedroom wall, we use the formula for the area of a rectangle, A = lw.
Since the length of the rectangle is 12 feet and the width of the rectangle
is 5 feet, we plug this information into the formula for length and width
and we have (12 ft)(5 ft) which simplifies to 60 ft².
So the area of the rectangular bedroom wall is 60 ft².
what type of statistical learning do all data examples in problem 1 correspond to - supervised or unsupervised?
It is possible to design any statistical learning problem to minimize predicted loss. All data examples in problem 1 correspond to supervised learning.
What is supervised learning?
The use of labelled datasets distinguishes the machine learning strategy known as supervised learning. These datasets are intended to "supervise" or "train" algorithms to correctly classify data or forecast outcomes. Labeled inputs and outputs allow the model to monitor its precision and improve over time.
When using data mining, supervised learning may be divided into two categories: classification and regression.
Using an algorithm, classification issues correctly categories test data into distinct groups, such as distinguishing apples from oranges.
Another supervised learning technique that employs an algorithm to comprehend the link between dependent and independent variables is regression.
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Correct question:
What type of statistical learning do all data examples supervised or unsupervised?
For an art project, a cone is covered with paper without any gaps or overlaps. The height of the cone is 28 inches and its diameter is 14 inches.
What is the surface area of the covering to the nearest square inch?
The surface area of the covering of the cone to the nearest square inches is 788 inches²
Surface area of a conesurface area of a cone = πr(r + l)
where
r = radiusl = slant lengthTherefore,
diameter = 2(radius)
14 = 2r
r = 14 / 2
r = 7 inches
l² = 7² + 28²
l = √49 + 784
l = √833
l = 28.8617393793
l = 28.86 inches
Therefore,
surface area = 3.14 × 7 (7 + 28.86)
surface area = 21.98 × 35.86
surface area = 788.2028
surface area = 788 inches²
learn more on surface area here: https://brainly.com/question/13343525
Answer: Here you go :)
Step-by-step explanation:
Hope this helps, have a nice day!