b. if one of you has a comparative advantage at baking cookies, it means that one of you: multiple choice 3 can make fewer cookies than the other in a given amount of time. can make more cookies than the other in a given amount of time. gives up fewer cupcakes for each cookie baked. gives up more cupcakes for each cookie baked.

Answer:

Step-by-step explanation:

\( - 3(x + 3) = - 3(x + 1) - 5\)

Expand

\( - 3(x + 3) = - 3x - 9 \\ - 3(x + 1) = - 3x - 3\)

\( - 3x - 9 = - 3x - 3 - 5\)

Collect like terms and simplify

\( - 3x + 3x = - 3 - 5 + 9 \\ 0x = 1\)

Answer:

45 degrees

Step-by-step explanation:

360/2=180

180/2=90

90/2=45

Answer:

15.59 cm^2

Step-by-step explanation:

Given formula for area= √(3s^4)/4

We have, a=6cm

Area= √(3s^4)/4 = √(3*6^4)/4 =√(3*1296)/4 =√3888/4 ≈ 62.35/4 ≈ 15.59 cm^2

Answer:

60

Step-by-step explanation:

Area of a triangle: 1/2(bh)

Base = 12

Height = 10

1/2(12*10)

1/2(120) = 60

Answer:

Step-by-step explanation:

Draw a straight line.

Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees  going up and apart.

Then draw the fourth line joining the ends of these 2 lines.

The 2 angles formed will equal 60 degrees.

The quadrilateral formed is a trapezoid.

Answer:

B) 29

Step-by-step explanation:

Plug in 4 for x.

3(4)^2 - 7(4) + 9

3(16) - 28 + 9

48 - 28 + 9

20 + 9

29.

Hope this helps.

The group of things from which data are taken for a statistical research is referred to as a population in statistics. A data pool for study might consist of numerous things, many individuals, etc.

large-scale numerical data collection and analysis, especially with the aim of extrapolating proportions in the total from those in a representative sample.

The study and development of techniques for gathering, processing, interpreting, and presenting empirical data are the focus of the science of statistics. It could be a collection of things, a gathering of people, etc. It serves as the study's data set.

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The mean is the average value of a set of data. To calculate the mean, you add up all the data values and then divide the sum by the number of values in the set.

For the first sample with data values of 10, 20, 11, 17, and 12, the mean can be calculated as follows:
(10 + 20 + 11 + 17 + 12) / 5 = 70 / 5 = 14

So, the mean of this sample is 14.

The median is the middle value in a set of data when the data is arranged in order. If there is an even number of values, the median is the average of the two middle values.

For the first sample with data values of 10, 20, 11, 17, and 12, the median can be calculated as follows:
First, arrange the data in order: 10, 11, 12, 17, 20
Since there are 5 values, the middle value is the third value, which is 12.

So, the median of this sample is 12.

Now, let's move on to the second sample with data values of 10, 20, 21, 18, 16, and 17.

To calculate the mean:
(10 + 20 + 21 + 18 + 16 + 17) / 6 = 102 / 6 = 17

So, the mean of this sample is 17.

To calculate the median:
First, arrange the data in order: 10, 16, 17, 18, 20, 21
Since there are 6 values, the middle values are the third and fourth values, which are 17 and 18. To find the median, we take the average of these two values:
(17 + 18) / 2 = 35 / 2 = 17.5

So, the median of this sample is 17.5.

Lastly, let's consider the third sample with data values of 51, 54, 71, 58, 65, 56, 51, 69, 56, 68, and 51.

To calculate the mean:
(51 + 54 + 71 + 58 + 65 + 56 + 51 + 69 + 56 + 68 + 51) / 11 = 660 / 11 = 60

So, the mean of this sample is 60.

To calculate the median:
First, arrange the data in order: 51, 51, 51, 54, 56, 56, 58, 65, 68, 69, 71
Since there are 11 values, the middle value is the sixth value, which is 56.

So, the median of this sample is 56.

Please note that the mode refers to the value(s) that appear most frequently in a set of data. In the given questions, mode is not requested for the first and second samples. However, if you need to calculate the mode for the third sample, it would be 51, as it appears three times, which is more than any other value in the set.

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Answer:

-7+1x (ignore this I needed more characters)

Given the expression:

sin(135° - 60°)

Let's find the exact value of the expression.

First simplify the expression in the parentheses:

sin(135° - 60°) = sin(75°)

The exact value of sin(75°) is:

Part B.

Given the expression:

sin135° - cos60°

Let's find the exact value.

Apply the reference by finding the equivalent angle in the first quadrant.

We have the following:

Therefore, the exact value of the expression is:

ANSWER:

• Part A.

• Part B.

Answer:

Step-by-step explanation:

This one has 2 different parts, first we have to find out the speed to drive 660 miles in 12 hours.  Divide 660 by 12 to get the speed of 55 miles per hour, that is your rate for the next part.Next we need to find out how long it will take to drive 495 miles at the same pace of 55 mph.Do the same thing 495/55.  That will give you your final answer.495/55= 9. It will take him 9 hours to drive 495 miles at a rate of 55 mph.

The slope-intercept form of the line tangent to the curve f(x) = −2x³ − 6x² + 8 at the point. Let's obtain the derivative of the function first: f(x) = −2x³ − 6x² + 8f'(x) = -6x² - 12x

Therefore, the slope of the tangent line at x = -1:

f'(-1) = -6(-1)² - 12(-1)

= 6 + 12 = 18

y = 18(x + 1) + f(-1) The slope of the tangent line, 18, and the point, (-1, f(-1)), have been given. Now

y - f(-1) = 18(x + 1)This can be simplified to slope-intercept form:

y = 18(x + 1) + f(-1)Hence, the slope-intercept form of the line tangent to the curve

f(x)=−2x3−6x2+8 at the point

(−1,f(−1)) is y = 18(x + 1) + f(-1).

Therefore, y = 18(x + 1) + f(-1).

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Answer:

Yes

Step-by-step explanation:

Yes , if both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram . The parallelogram has opposite sides equal and parallel . Diagonals bisect each other . The sum of alternate angles is 180° and the opposite angles are equal .

Answer:

true

Step-by-step explanation:

the estimator with both high bias and high variability is is approximately equal to 2

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

if the actual value of the population parameter is 888,

since the center of it is approximately equal to 2 and the spread of the data values is also not far from center value 2 than Statistic B.

Hence the estimator with both high bias and high variability is is approximately equal to 2

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Answer:

The answer is in the screenshot.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.1, 1.112

Answer:

b=22/15 or 1.46 repeating

Step-by-step explanation:

Answer:

160 \(cm^{2}\)

Step-by-step explanation:

The lateral surface area is the area of the considered plane side of a given figure or shape. To calculate that of a prism, it is the product of the base of a prism and its height.

Thus for the given prism;

lateral surface area = (perimeter of its base) x height

perimeter of the base = 6 + 6 + 2 + 2

                                     = 16

Lateral surface area of the prism = 16 x 10

                                     = 160 \(cm^{2}\)

Therefore, the lateral surface area of the prism is 160 \(cm^{2}\).

Answer:

The answer will be $3216.152

Step-by-step explanation:

If you do the 20% of $4020.19 then the answer will came $804.038 and then subtract the result from $4020.19 then it will came $3216.152 and it is the result only.

The value of x is 8

A quadrilateral with one pair of parallel sides. It is a typical mathematical shape that is employed in numerous disciplines. The area of a trapezoid is computed by multiplying the height by half of the sum of the lengths of the two bases.

Given that trapezoid PQRS ~ TUVW are similar;

So, VW/RS = UT/QP

      x/12 = 6/9

      x = 8

Therefore, the value of x is 8

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Trapezoid A trapezoid is a four-sided shape with one pair of parallel sides According to the question The value of x is 8

A trapezoid is a four-sided shape with one pair of parallel sides. It has two non-parallel sides, or legs, and two parallel sides, or bases. The bases are usually of different lengths, and the sides are typically not equal. The angles of a trapezoid are not necessarily all the same size, but the two opposite angles are always equal. Trapezoids can be found in everyday objects like the shape of a deck, a rectangular door frame, or a sloped roof. Trapezoids can also be found in geometry, where they are used to calculate the area and perimeter of the shape.

Given that trapezoid PQRS ~ TUVW are similar;
So, VW/RS = UT/QP
     x/12 = 6/9
     x = 8
Therefore, the value of x is 8

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Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

We are given the standard deviation for the population, hence, the z-distribution is used. The parameters for the interval is:

Sample mean of  \(x = 12.7\)

Population standard deviation of  \(\sigma = 6.37\)

Sample size of .n = 50

The margin of error is:

\(M = z \frac{\sigma }{\sqrt{n} }\)

In which z is the critical value.

We have to find the critical value, which is z with a p-value of  \(\frac{1+\alpha }{2}\) , in which  \(\alpha\) is the confidence level.

In this problem, , thus, z with a p-value of , which means that it is z = 1.96.

Then:

\(M= 1.96\frac{6.37}{\sqrt{50} } = 1.77\)

The confidence interval is the sample mean plus/minutes the margin of error, hence:

x- M = 12.17 - 1.77 =10.4

x+M = 12.17 + 1.77 = 13.94

The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

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To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.

Negative exponent Rule :-

\(a^{-n} = \frac{1}{a^{n} }\)

Now , we will solve a fraction with negative exponent

For example ; Simplify the fraction \(\frac{3^{-2} }{9^{-2} }\)

Solution : \(\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}\)

= 9

Here, 9 is the answer of the above example.

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Answer:

Value of n:

Since the first three terms in the binomial expansion are 1 + kx - x^2, we can compare this with the general binomial expansion formula:

(1 + bx)^n = 1 + n(bx) + (n(n-1)/2)(bx)^2 + ...

Comparing the terms, we see that n(bx) = kx, which means n = k.

Value of k:

From the given expression, we have 1 + kx - x^2. Since the coefficient of x is k, we can conclude that k = 1.

Therefore, the value of n is 1 and the value of k is 1.

Step-by-step explanation:

hope this helps :)

There was a low temperature of 18°C on (b) day 2

The graph that completes the question is added as an attachment

The legend of the graph is

Using the above legend as a guide, we have the following readings on day 2:

This means that the least temperature on day 2 is 18 degrees Celsius

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Complete question

The high and low temperatures for 6 days in Cloud City are plotted on the coordinate plane. The x-axis represents the day number, and the y-axis represents the temperature in degrees Celsius.

On which day was there a low temperature of 18°C? Choose 1 answer:

A Day 1

B Day 2

C Day 4

D Day 55

Answer:

it was ( c ) 9

Step-by-step explanation:

i put the other answer and i got it wrong and turns out it was actually letter c

Using the Pythagorean theorem, we know that the roof of the building is 24 ft far from the ground.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

So, the Pythagorean theorem formula:

c² = a² + b²

Now, substitute the values in the formula to calculate the distance between the roofline and the ground.

c² = a² + b²

25² = a² + 7²

625 = a² + 49

a² = 625 - 49

a² = 576

a = √576

a = 24ft

Therefore, using the Pythagorean theorem, we know that the roof of the building is 24 ft far from the ground.

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The length of the height of the prism is 6 m

From the question, we are to determine the length of the height of the prism

The volume of a prism is given by the formula,

Volume = width × base × height

Thus,

Height = Volume / (width × base)

From the given information,

base = 5 m

width =  3m

Volume = 90 m³

Putting the parameters into the formula, we get

Height = 90 /(3 × 5)

Height = 90 / 15

Height = 6 m

Hence, the length of the height of the prism is 6 m

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Answer:

y=2x+1

Step-by-step explanation:

y=mx+b

The probability that 8 patrons visit during the first half hour is given as follows:

0.1033 = 10.33%.

In a Poisson distribution, the mass probability function is given as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 6\)

Hence the probability of 8 patrons is given as follows:

\(P(X = 8) = \frac{e^{-6}6^{8}}{(8)!} = 0.1033\)

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