how to solve the volume of this

Answer:

1 hour 37 minutes

Step-by-step explanation:

From the image attached, we can see the start and end time represented by the clock. To calculate the length of time that Maria and her friends rode, we just have to subtract the start time from the end time.

From the end time clock, we can see that the end time is 2:24, while from the start time clock, we can see that the start time is 12:47. Hence, the length of time they rode is:

Length of time for bike ride = 2:24 - 12:47 = 1 hour 37 minutes

The number of people who prefer eggs is 35.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. A ratio might be formatted as a Part to Part or Part to Whole comparison. A Part to Part comparison looks at two individual quantities within a ratio of greater than two numbers, such as the number of dogs to the number of cats in a poll of pet type in an animal clinic. A Part to Whole comparison measures the number of one quantity against the total, such as the number of dogs to the total number of pets in the clinic.

Let the number of people who prefer eggs be x.

21 people said they prefer oatmeal.

The ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5.

∴ \(\frac{21}{x} = \frac{3}{5} \\x = \frac{21*5}{3}\\ x = \frac{105}{3} \\x = 35\)

Thus, the number of people who prefer eggs is 35.

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Answer:

the triangle has 1/3 so the area of parallelogram is equal

Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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Answer:

m = -4, b = -12

Step-by-step explanation:

the slope is m which is the number before x. It goes by rise/run, so it is -4/1

the b is the y-intercept which is -12

The unknown quantity which is the radius has a length of  49752/π yards.

The formula for the length of arc is;

S = rθ

where;

r is radius

θ is the central angle in radians

Now, we are given;

θ = 3π/4

S = 4146 * 9 yards

Thus, making r the subject and solving gives;

r = S/θ

r = (4146 * 9)/(3π/4)

r = 49752/π

Thus, the unknown quantity which is the radius has a length of  49752/π yards.

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Answer:

68°/•

Step-by-step explanation:

100°/• - 32°/•

=68°/•

Answer:

(2)3 • (2x - y)3

Step-by-step explanation:

Put the exponent aside and simplify the base by pulling out like factors

4x-2y  =  2 • (2x-y)

Remember the 4th law of exponents : (a • b)m= am• bm

Retract the exponent and apply the 4th law to the simplified base: ( 2 • (2xy) )3 =  (2)3 • (2x-y)3  

Answer:

The first option, as x approaches infinity, y approaches infinity and as  x approaches negative infinity, y approaches negative infinity

Step-by-step explanation:

We need to know about translation, reflection and rotation to solve the problem. (1) We translate a triangle with respect to a horizontal and vertical direction. (2) We rotate a traingle about a given angle. (3) We refelct a triangle about a line of reflection which can be axis or vector.

(1) Translation of a triangle means changing it's position without changing the shape or size of the triangle. We translate a triangle with respect to a horizontal and vertical direction. We get the new triangle by adding the horizontal translation value to the x-coordinate and the vertical translation value to the y-coordinate.

(2) Rotation of a triangle is turning the triangle by an angle around a center point. When a triangle is rotated by 90° clockwise then (x,y) becomes (y,-x), when rotated by 90° anticlockwise (x,y) becomes (-y,x), when rotated by 180° clockwise or anticlockwise (x,y) becomes (-x,-y).

(3)Reflection of a triangle is finding a mirror like image of the triangle about  a line of reflection. The line of reflection may be either of the axes, a vector. To find the image we have to find the coordinates of the triangle that are of same distance from the line of reflection on the opposite side like they are from the original triangle.

Therefore we learnt about translation, reflection and rotation and saw that (1) Translation needs a horizontal and vertical direction for translating, (2) Rotation needs an angle of rotation and a center point and (3) Reflection needs a line of reflection.

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Answer:

Step-by-step explanation:-30x-15y+6

Answer:

− 30 x − 15 y + 5

Just distribute and combine like terms

If you want the complete steps just ask!

Hope this Helps!!

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

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Answer:

f(x)=(x-1)²+3

Step-by-step explanation:

f(x)=4+x²-2x=x²-2x+1+3=(x-1)²+3

Answer:

Its the third and fourth answer

The exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.

Step-by-step explanation:

We know that the range of the arcsine function is from -π/2 to π/2.

Now, let's evaluate sin(9π/4). Since one full rotation is equal to 2π radians, we can subtract 2π radians from 9π/4 until we get an angle between 0 and 2π.

9π/4 - 2π = π/4

So, sin(9π/4) is equal to sin(π/4).

Now, we know that sin(π/4) = 1/√2.

Therefore, we can evaluate the given expression as:

arcsin[sin(9π/4)] = arcsin[sin(π/4)]

= arcsin[1/√2]

The arcsine of 1/√2 is equal to π/4 or 45°, since the sine is positive in the first and second quadrants.

Hence, the exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed

2,40

Dejar:

T = Tomate

n = cebolla

(2 kilograms of t) plus 1 kilogram of n = 8.40

(1 kilogram plus 2 kilograms) equals 7.80.

2t + n = 8,40 - -

t + 2n = 7,80 - -

De (2);

t = 7,80 - 2n

Toggata = 7.80 - 2n en

2 (7,80 - 2n) + n = 8,40

15,6 - 4n + n = 8,40

15,6 - 3n = 8,40

-3n = 8,40 - 15,6

-3n = - 7,2

n = 2,4

t = 7,80 - 2

t = 7,80 - 4,80

t = 3

As a result, the price of 1 kg of celery is $2.40.

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The series can be written as:

∞∑k=1 (-1)^(k+1) / k^(4k-1)

To determine how many terms of the series must be summed to ensure that the remainder is less than some given value, we can use the remainder formula for alternating series:

|R_n| <= a_(n+1)

where R_n is the remainder after summing the first n terms, and a_(n+1) is the absolute value of the (n+1)-th term.

So, we need to find the smallest value of n such that:

|(-1)^(n+2) / (n+1)^(4n+3)| < ε, where ε is the given error tolerance.

We can simplify this inequality as:

1 / (n+1)^(4n+3) < ε

Taking the natural logarithm of both sides, we get:

(4n+3) ln(n+1) > ln(1/ε)

Using numerical methods, we can solve for n. Alternatively, we can use some approximations to get an estimate.

For large n, we have ln(n+1) ≈ ln(n), so we can simplify the inequality as:

4n ln(n) > ln(1/ε)

or

n > ln(ln(1/ε)) / 4ln(n)

We can start with n = 1000 and use this formula to check if the remainder is less than ε. If not, we can increase n by a factor of 2 and try again. Once we find the smallest n that satisfies the inequality, we can sum the first n terms to get an approximation of the series with the desired error tolerance.

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Answer:

Expression: [105-(-27)]°F

Difference in temperature= 132°F

Step-by-step explanation:

The difference between the two temperatures can be found through subtraction.

Difference in temperature

= 105 -(-27)

= 105 +27

= 132°F

Additional:

An expression does not include an equal sign unlike an equation. If the difference in temperature is represented by D, then the equation would be:

D= [105-(-27)]°F

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Answer:3/6

Step-by-step explanation:

Sorry if it’s wrong ‍♂️

The expected error between the sample mean and the population mean is 3.

In this problem, we have been given :

population mean (μ) = 80,

standard deviation (σ) = 24,  

sample size (n) = 64

We know that,

The Central Limit Theorem states that, for a normally distributed random variable X, with mean μ and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation, which is also called standard error \(s=\frac{\sigma}{\sqrt{n} }\)

We need to find the error between the sample mean and the population mean.

standard error

= σ /√n

= 24 /√64

= 24 / 8

= 3

Therefore, the expected error between the sample mean and the population mean = 3

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Answer:

yes

Step-by-step explanation:

Answer:

64 /49

Step-by-step explanation:

-8/7*-8/7

64 /49

a) A skewed to the right model makes sense as majority have lower weight.

b) It is not possible to determine the probability.

c) The probability that someone's catch averages more than 2 pounds.

d) The standard deviation is 0.115 pounds.

a) A skewed to the right model makes sense because it would be expected that there are many small fish and only a few large ones in the lake. This means that the majority of the fish would have lower weights, with fewer fish having higher weights.

b) Since the distribution is not Normal and the exact distribution is not given, it is not possible to determine the probability using the Normal model.

c) Since the distribution is skewed to the right and the sample size of 15 is not large enough to use the Central Limit Theorem, it is not possible to determine the probability that someone's catch averages more than 2 pounds.

d) To calculate the standard deviation of the mean weight of the 210 fish caught, we can use the formula for the standard deviation of a sample mean: σ_sample_mean = σ_population / sqrt(n),

where σ_population is the standard deviation of the population (1.67 pounds) andn is the sample size (14 contestants * 15 fish each = 210 fish).

So, σ_sample_mean = 1.67 / sqrt(210) ≈ 0.115 pounds. The standard deviation of the mean weight of the 210 fish caught is approximately 0.115 pounds.

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The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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Answer:

\(-\frac{1}{2} \vec {c}\)

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because \(\frac{4}{4}=1=\frac{-2}{-2}\)

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that \(k \vec{c} = \vec {d}\), or equivalently, \(kc_x=d_x\) and \(kc_y=d_y\).

If \(kc_x=d_x\) and \(kc_y=d_y\), we just need to substitute known values and solve for k:

\(kc_x=d_x\\k(4)=(-2)\\k=\dfrac{-2}{4}\\k=-\frac{1}{2}\)

Double checking that k works for the y-coordinates as well:

\(kc_y=d_y\)

\((-\frac{1}{2}) (4)\)    ?    \((-2)\)

\(-2=-2 \text{ } \checkmark\)

So, \(-\frac{1}{2} \vec {c} = \vec {d}\)

Answer:

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that , or equivalently,  and .

If  and , we just need to substitute known values and solve for k:

Double checking that k works for the y-coordinates as well:

   ?    

So,

The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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Answer:

option B

Step-by-step explanation:

let the height=x

base=x

Area=½bh

72=½x•x

72×2=x²

144=x²

x=√144=12

Answer:

12

Step-by-step explanation:

12 x 12= 144

144/2= 72

The probability that more than 12 of these selected children have exactly two siblings is P(13) + P(14) + P(15) + ... + P(20).

To find the probability that more than 12 of the selected children have exactly two siblings, we need to calculate the probability of selecting 13, 14, 15, ..., or 20 children with exactly two siblings, and then add up these individual probabilities.

Let's calculate the probability for each case:

Selecting 13 children with exactly two siblings:

Probability of selecting a child with exactly two siblings: 30% = 0.3

Probability of selecting a child without exactly two siblings: 1 - 0.3 = 0.7

Probability of selecting 13 children with exactly two siblings:

\((0.3)^{13}\) * \((0.7)^{20-13}\) * (20 choose 13)

Selecting 14 children with exactly two siblings:

Probability of selecting 14 children with exactly two siblings:

\((0.3)^{14}\) * \((0.7)^{20-14}\) * (20 choose 14)

Selecting 15 children with exactly two siblings:

Probability of selecting 15 children with exactly two siblings:

\((0.3)^{15}\) * \((0.7)^{20-15}\) * (20 choose 15)

Continue this process for selecting 16, 17, 18, 19, and 20 children with exactly two siblings.

Finally, add up all these individual probabilities to get the probability that more than 12 of the selected children have exactly two siblings:

P(more than 12 children with exactly two siblings) = P(13) + P(14) + P(15) + ... + P(20)

Performing the calculations for each case and summing them up will give you the desired probability.

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