The variable B represents the area of one of the lateral sides of a prism.

True
False

You ask your neighbor to water a sickly plant while you are on vacation. Without water it will die with probability 90%: with water it will die with probability 20%. You are 80% certain that your neighbor will remember to water the plant. The probability that the plant will die when you return  is 34%. If the plant is dead, the probability that the neighbor forgot to water it is approximately 52.94%.

1. The probability that the plant will die when you return can be calculated using the law of total probability. We need to consider both scenarios, where the neighbor remembers to water the plant and where they forget to water the plant.

P(plant dies) = P(plant dies | neighbor remembers) * P(neighbor remembers) + P(plant dies | neighbor forgets) * P(neighbor forgets)

= (0.20 * 0.80) + (0.90 * 0.20)

= 0.16 + 0.18

= 0.34

So the probability that the plant will die when you return is 34%.

2. If the plant is dead, we need to calculate the probability that the neighbor forgot to water it using Bayes' theorem.

P(neighbor forgets | plant dies) = P(plant dies | neighbor forgets) * P(neighbor forgets) / P(plant dies)

= (0.90 * 0.20) / 0.34

= 0.5294

So if the plant is dead, the probability that the neighbor forgot to water it is approximately 52.94%.

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[tex]y = \frac{1}{2} x - 2[/tex]

the line of stars is parallel to the blue line, so the slope doesn't change.

if you take the star at x = 4, the y coordinate is zero. at this same point of x = 4, the y coordinate of the blue line is 6. So to get from 6 to 0, subtract 6. This means the whole line goes down 6 points, and so does the y intercept. 4-6 = -2, so the new y intercept is -2.

Answer:

Step-by-step explanation:

The number of the students chose action movies, is 4

A survey is a list of questions aimed for extracting specific data from a particular group of people. Surveys may be conducted by phone, mail, via the internet, and also at street corners or in malls

Given that, a survey asked 1,200 students which movie genre was their favorite.

We need to find that how many students chose action movies,

There are 45 % of the students watched the same genre,

Therefore, the number of the students chose action movies, =

45 / 1200 x 100

= 3.75

≈ 4

Hence, the number of the students chose action movies, is 4

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The answers of range, variance, and standard deviation are:
a. Range = 17, Variance = 44.16, Standard deviation = 6.65
b. Range = 109, Variance = 1514.14, Standard deviation = 38.91
c. Range = 109, Variance = 1486.86, Standard deviation = 38.56

The range is the difference between the highest and lowest values in the sample. The variance is a measure of how spread out the values are from the mean, and the standard deviation is the square root of the variance.

For sample a:
Range = 47 - 30

=> 17
Variance =[tex][(32-37.8)^2 + (44-37.8)^2 + (30-37.8)^2 + (36-37.8)^2 + (47-37.8)^2] / (5-1)[/tex]

=> 44.16
Standard deviation = √44.16

=> 6.65

For sample b:
Range = 110 - 1

=> 109
Variance = [tex][(110-34.44)^2 + (6-34.44)^2 + (4-34.44)^2 + (99-34.44)^2 + (80-34.44)^2 + (3-34.44)^2 + (5-34.44)^2 + (10-34.44)^2 + (1-34.44)^2] / (9-1)[/tex]

=> 1514.14
Standard deviation = √1514.14

=> 38.91

For sample c:
Range = 110 - 1

=> 109
Variance = [tex][(110-42)^2 + (6-42)^2 + (4-42)^2 + (40-42)^2 + (80-42)^2 + (40-42)^2 + (55-42)^2 + (1-42)^2] / (8-1)[/tex] = 1486.86
Standard deviation = √1486.86

=> 38.56

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Answer:

3, 18 , 24

Step-by-step explanation:

f(- 2) with x = - 2 < 0 , then f(x) = 3x + 9 , that is

f(- 2) = 3(- 2) + 9 = - 6 + 9 = 3

f(0) with x = 0 then f(x) = 3x + 18 , that is

f(0) = 3(0) + 18 = 0 + 18 = 18

f(2) with x = 2 ≥ 0 , then f(x) = 3x + 18, that is

f(2) = 3(2) + 18 = 6 + 18 = 24

Given the function f(x) = {3x + 9 if x < 0; 3x + 18 if x ≥ 0}, the following values  as follows:

f(-2) = 3

f(0) =  18

f(2) = 24

The function f(x) is a piecewise function, meaning it has different rules for different values of x. We need to use the appropriate rule for each value of x we are given.

For f(-2), we use the rule 3x+9 because x<0. Plugging in -2 for x, we get:

f(-2) = 3(-2) + 9
f(-2) = -6 + 9
f(-2) = 3

For f(0), we use the rule 3x+18 because x≥0. Plugging in 0 for x, we get:

f(0) = 3(0) + 18
f(0) = 0 + 18
f(0) = 18

For f(2), we use the same rule as f(0) because x≥0. Plugging in 2 for x, we get:

f(2) = 3(2) + 18
f(2) = 6 + 18
f(2) = 24

So the final answers are f(-2) = 3, f(0) = 18, and f(2) = 24.

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maxima_value = sp.sin(maxima)
minima_value = sp.sin(minima)

For part (a), to find the minima and maxima of the function y=sin(x) in the interval [2π, 4π], you can use the SymPy solves

et() function, which takes an equation, a variable and an interval (numn1​, num2​) as inputs. To do this, you can use the following code:

minima, maxima = sp.solveset(sp.Eq(sp.sin(x), 0), x, (sp.pi*2, sp.pi*4))

For part (b), to determine the x-values at which the maxima and minima occurs, you can use the minima and maxima values from the previous solveset() function and evaluate the sin(x) at those points. For example:

maxima_value = sp.sin(maxima)
minima_value = sp.sin(minima)

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Answer:

The function y = 3(x - 2)^2 + 6 is in vertex form, which is y = a(x - h)^2 + k, where (h,k) is the vertex of the parabola.

In this case, the vertex is (2,6), and the coefficient "a" is 3, so we can write the equivalent function in standard form as follows:

y = 3(x - 2)^2 + 6

y = 3(x^2 - 4x + 4) + 6

y = 3x^2 - 12x + 18

Therefore, the equivalent function in standard form is y = 3x^2 - 12x + 18.

The sum of two numbers is 146. The larger number is 16 less than 5 times the smaller number, the two numbers are 27 and 119.

Let's call the smaller number "x" and the larger number "y". We can write two equations based on the information given:

The sum of two numbers is 146: x + y = 146

The larger number is 16 less than 5 times the smaller number: y = 5x - 16

We can use substitution to solve for one of the variables. Using equation 2, we can solve for y in terms of x:

y = 5x - 16

Now we can substitute this expression for y into equation 1:

x + (5x - 16) = 146

Simplifying this equation, we get: 6x - 16 = 146

Adding 16 to both sides, we get: 6x = 162

Dividing both sides by 6, we get: x = 27

Now we can use equation 2 to solve for y:

y = 5x - 16 = 5(27) - 16 = 119

Therefore, the two numbers are 27 and 119.

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Answer: (-35, 30)

Step-by-step explanation:

Since the scale factor is four, it denotes that it’s a positive dilation. The question is asking for 5 times the point. In other words, where would the point be if it was stretched out 5 times.

If you draw a line from the given to the QED, (-7, 6) to (-35, 30), then you’ll realize that the image is 5 times the original point.

K= (-7*5, 6*5)

Any number less than one means the point or shape is being compressed or made smaller.

The final expression after collecting terms is: 19zx^(2) - 3z^(2)x + 2z^(2)y

Explanation: To collect terms in an expression, we need to combine like terms. Like terms are terms that have the same variables with the same exponents. In the given expression, the like terms are 13zx^(2) and 6zx^(2). We can combine these terms by adding their coefficients:

13zx^(2) + 6zx^(2) = 19zx^(2)

The other terms, 2z^(2)y and -3z^(2)x, do not have any like terms, so we cannot combine them with any other terms. Therefore, the final expression after collecting terms is:

19zx^(2) - 3z^(2)x + 2z^(2)y

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Answer:

Step-by-step explanation:

Answer:

7 and 4

Step-by-step explanation:

take away 3 each time so

10-3=7

7-3=4

a. The greatest possible distance from  Austin to san Antonio is 335.77 mi, b. the Least possible distance to Austin to san Antonio is 120.03 mi.

Distance refers to the physical length or space between two points or objects. It is an important concept in mathematics, physics, and everyday life. Distance can be measured in various units such as meters, feet, kilometers, miles, or light-years, depending on the context and scale of the measurement.

In mathematics, distance is often measured using the Euclidean distance formula, which calculates the distance between two points in a plane or in three-dimensional space. The formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where d is the distance between the two points, (x1, y1) and (x2, y2).

In physics, distance is often used to describe the separation between two objects or particles. The distance between two objects can affect the strength of gravitational or electromagnetic forces between them. Distance is also an important concept in special relativity, where it is affected by the relative motion of observers and the distortion of spacetime.

a. Greatest possible distance from  Austin to san Antonio= Distance from Austin →Houston → san Antonio.

Austin - Houston = 146.43 mi

Houston - San Antonio = 189.34 mi

Total  distance= 146.43+ 189.34= 335.77 mi

b. Least possible distance to Austin to san Antonio= the shortest distance = x

By pythagoras theorem

(189.34)²= (146.43)²+ x²

x²= (189.34)²- (146.43)²

x²= 35849.63- 21441.744

x²= 14407.89

x=√14407.89

x= 120.03

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The complete question is:

a) n = 650 and p = 0.03

b)0.954

c)0.802

d)0.0206 to 0.0594

e)The result in (d) would be more precise

(a) The sampling distribution of the sample proportion is a binomial distribution with parameters n = 650 and p = 0.03.
(b) The probability that the sample proportion of death claims is between 2% and 6% is 0.954.
(c) The probability that the sample proportion is within 0.02 of the population proportion of death claims caused by accidents is 0.802.
(d) The 95% confidence interval for the proportion of death claims caused by accidents is 0.0206 to 0.0594.
(e) If the sample size were 2000 instead of 650, the result in (d) would be more precise. This is because with a larger sample size, the confidence interval will become narrower, allowing for a more accurate estimate of the population proportion.

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Answer:

O don't know

Step-by-step explanation:

I'm just doing this because i need to i don't really know and I'm litterraly confused?

The mean advertising spent for the automotive sector is $72,450 and for the department store sector is $67,650.

The standard deviation for the automotive sector is $10,808.16 and for the department store sector is $8,265.49.

The range of advertising spent for the automotive sector is $41,000 and for the department store sector is $30,800.

The interquartile range for the automotive sector is $14,250 and for the department store sector is $10,200.

Based on this sample and the answers to the previous questions, it can be seen that the automotive sector spends more on advertising on average than the department store sector. The automotive sector also has a larger standard deviation, indicating that there is more variation in the amount of advertising spent by companies in this sector.

The range of advertising spent for the automotive sector is also larger than that of the department store sector, indicating that there is a larger difference between the highest and lowest amounts spent on advertising in this sector.

The interquartile range for the automotive sector is also larger than that of the department store sector, indicating that there is a larger difference between the 25th and 75th percentiles of advertising spent in this sector.

Overall, these results suggest that there is more variation in the amount of advertising spent by companies in the automotive sector compared to the department store sector.

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Answer:

8 small and 14 large is the answer

Step-by-step explanation:

a) alternate- angle a is 60 degrees

b) corresponding- 75 degrees

c) corresponding- 108 degrees

Answer: No

Step-by-step explanation: because in order to find out if a triangle is a right triangle you use the Pythagorean Theron which is A squared+ B squared= C squared and since 8 times 8 is 64 and 12 times 12 is 144 if you add then it is 208 which is not equal to 225 to it isn’t a right triangle

Answer: No

Step-by-step explanation:

To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.

a and b are the legs of the right triangle.

8²+12²=15²

64+144=225

208 ≠ 225

The expression 3^(-3) can be rewritten without an exponent as 1/27.

To rewrite the expression 3^(-3) without an exponent, we can use the rule that any expression with a negative exponent can be rewritten as the reciprocal of the expression with a positive exponent. In other words, a^(-b) = 1/a^(b).

So in this case, we can rewrite 3^(-3) as 1/3^(3).

Now, we can simplify the expression by evaluating the exponent. 3^(3) = 3*3*3 = 27.

So our final answer is 1/27.

Therefore, the expression 3^(-3) can be rewritten without an exponent as 1/27.

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The probability of first subset has 14 observations with population of 5 million or greater, and the second subset has 36 observations with population less than 5 million.

The state population data has 50 observations, each representing a different state. To create two subsets, I filtered the data according to 2018 population. The first subset includes observations with population of 5 million or greater, and the second subset includes observations with population less than 5 million. There are 14 observations in the first subset and 36 observations in the second subset. This shows that there are more states with population below 5 million than above 5 million. The data also shows that the states with population of 5 million or greater tend to have higher population densities than those with population below 5 million. This could be due to a variety of factors such as location, climate, and resources.

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The only solution to the equation log6 x + log6 (x+16) = 2 is x = 2.

A logarithm of a number with a base is equal to another number. A logarithm is just the opposite function of exponentiation

Using the logarithmic property that states that log a + log b = log ab, we can simplify the left-hand side of the equation as follows:

log6 x + log6 (x+16) = log6(x(x+16))

Substituting this expression back into the original equation, we get:

log6(x(x+16)) = 2

Using the definition of logarithms, we can rewrite this equation in exponential form as:

6² = x(x+16)

Simplifying the left-hand side, we get:

36 = x² + 16x

Moving all the terms to one side of the equation, we get:

x² + 16x - 36 = 0

Now, we can solve for x using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 16, and c = -36.

Plugging these values into the formula, we get:

x = (-16 ± √(16² - 4(1)(-36))) / 2(1)

Simplifying the expression under the square root, we get:

x = (-16 ± √(400)) / 2

x = (-16 ± 20) / 2

Therefore, we have two possible solutions:

x = 2 or x = -18

However, we need to check if each solution is valid by plugging it back into the original equation and ensuring that it doesn't result in taking the logarithm of a negative number or zero.

Plugging in x = 2, we get:

log6 2 + log6 (2+16) = 2

This simplifies to:

log6 18 = 2

This is true, so x = 2 is a valid solution.

Plugging in x = -18, we get:

log6 (-18) + log6 (-2) = 2

Both of these logarithms are undefined because they involve taking the logarithm of a negative number. Therefore, x = -18 is not a valid solution.

Therefore, the only solution to the equation log6 x + log6 (x+16) = 2 is x = 2.

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To get the total area of the figure: 6 x 705 = 1725.9 ft².

What is area?

Area is a measure of the size of a two-dimensional surface, such as a region of land or a space in a building. It is typically measured in square units, such as square feet or square meters. Area can also be calculated for three-dimensional objects, such as a cube or other solid shape. Area is an important concept in mathematics and is used to measure the size of many different shapes.

The correct answer is A) 1725.9 ft². To find the area of the regular figure, calculate the area of one of the triangles, and then multiply this by 6 (the number of triangles in the figure). The area of a triangle is A = ½bh, where b is the base and h is the height. The base of the triangle is 19 ft and the height is 12.5 ft. Therefore, A = ½(19) (12.5) = 117.5 ft². Multiply this by 6 to get 6 x 117.5 = 705 ft. Finally, multiply this by the number of triangles in the figure, which is 6, to get the total area of the figure: 6 x 705 = 1725.9 ft².

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Recall definitions:

Use the triangle to define each ratio.

Use Pythagorean theorem:

Proved

Proved

What fraction of the trip has Andre completed.

A fraction is a way of representing a part of a whole or a quantity that is not a whole number. It is a mathematical expression that represents a ratio of two numbers, where the number above the line (numerator) represents the part being considered, and the number below the line (denominator) represents the whole or the total number of parts. Fractions are usually written in the form a/b, where a is the numerator and b is the denominator.

Given that the entire road to be covered is  1 5/8 kilometers and so far Andre has walked 1/3 kilometer, the expression represents the fraction that has been covered.

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Missing parts;

Heathercain

01/24/2020

Mathematics

Middle School

answered • expert verified

3. Andre is walking from home to a festival that is 1 5\8 kilometers away. He takes a quick rest after walking 1\3 kilometers. In this situation, which question can be represented by the equation: ?× 1 5\8 = 1\3?

a. What fraction of the trip has Andre completed?

b. How many more kilometer does he have to walk to get to the festival?

c. What fraction of the trio is left.

d. How many kilometers is it from home to the festival and back home?

Values of the given expression are:

(a)  (f∘g)(−2) = -7

(b) (g∘f)(−2) = -78

To evaluate the expression, we need to find the values of (f∘g)(−2) and (g∘f)(−2).

(a) (f∘g)(−2) means that we need to first plug in -2 into the g(x) function, and then plug in the result into the f(x) function.

So, g(-2) = 3 - (-2)^2 = 3 - 4 = -1

Now, we plug in -1 into the f(x) function:

f(-1) = 2(-1) - 5 = -2 - 5 = -7

Therefore, (f∘g)(−2) = -7.

(b) (g∘f)(−2) means that we need to first plug in -2 into the f(x) function, and then plug in the result into the g(x) function.

So, f(-2) = 2(-2) - 5 = -4 - 5 = -9

Now, we plug in -9 into the g(x) function:

g(-9) = 3 - (-9)^2 = 3 - 81 = -78

Therefore, (g∘f)(−2) = -78.

In conclusion, the values of the expression are a) (f∘g)(−2) = -7 and b) (g∘f)(−2) = -78.

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The measurement of the third angle is 100°.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Given ,

The measurement of one angle in triangle is 30°.

And other angle in triangle is 50°

We have to find,

The measurement of the third angle.

According to the question,

It is a triangle the sum of three angles is 180 degrees.

Now,

Sum of the all the interior angle in right triangle = 180°

30° + 50° + ∠c = 180°

80° + ∠c  = 180°

∠c = 180° - 180° = 100°

Hence, The required measurement of the third angle is 100°.

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Answer: they lost profit

Step-by-step explanation: because 5,700 is less then 6,000 so 6,000 - 5,700 = 300 so they lost $300

Answer: $4.28 per quart

Step-by-step explanation:

So there is 4 quarts in one gallon. Since there is 2 gallons that means there is 8 quarts total. now you want to take $34.24 and divide it by 8 and you will get $4.28

Answer:

−4x−3

Step-by-step explanation: