In a recent year (365 days), there were 638 murders in a city. Find the mean number of murders per day, then use that result to find the probability that in a single day, there are no murders. Would 0

Answer:

x=3/2

Step-by-step explanation:

      .D                         .I

          9x                           7x+3

.C           .E             .H             .J

7x+3=9x

-7x     -7x

-------------

3=2x

--  --

2  2

x=3/2

Check

9(3/2)=13.5

7(3/2)+3=13.5

Answer:

your answer will be 30 and 28

Step-by-step explanation:

example: rewrite the equation and solve 2 x ? = 6

1) 2x2 = 4

2) 4 x 2 = 8

3) 8- 2 = 6

so meaning to say that 2x2 = 4 x 2 = 8 - 2 equals 6

hint: ( every number is 3 times before the next number)

so all you do is 2 x 3 = 6, 4 x 3 = 12, 3 x 4 = 12, 5 x 2 = 10, 6 x 5 = 30, 7 x 4 = 28. so your next numbers will be 28 and 30.

(hope this helped)

Answer: x=<4

Step-by-step explanation:

The index forms are represented as;

8.  3⁴

9.  -6²

10. (-1/2)³

11.  (1/3)³

12. π³x⁴

13. -4³y²

14. 6.4⁴b³

15. -t⁵

16. -7⁵

17. - (1/4)⁴

Index forms are simply as mathematical models that are extensively used to represents numbers, variables or elements that are too large or too small in more convenient forms.

The other names used to identify index forms are standard forms and scientific notations.

Examples of index forms are;

5², 6³³, a³, c²

From the information given, we have;

1. 3. 3 . 3. 3

This is represented as 3⁴

2. (-1/2). (-1/2). (-1/2)

This is represented as (-1/2)³

3. (-6). (-6) = -6²

4. π. π. π. x .x .x x.x

This is represented as;

π³x⁴

5. (1/3).(1/3).(1/3)

Represented as (1/3)³

6. 6.4. 6.4. 6.4. 6.4 . b.b.b

This is represented as;

6.4⁴b³

7. (-t). (-t). (-t). (-t).(-t)

-t⁵

8. -(7. 7.7.7.7)

-7⁵

9. (-4). (-4). (-4). y. y

This is represented as;

-4³y²

10. -(1/4. 1/4.1/4.1/4)

- (1/4)⁴

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Answer:

6\(\sqrt{30}\)i

Step-by-step explanation:

120 = 2x2x2x3x5  I can pull out a set of 's

3x2 = 6

6\(\sqrt{2x3x5}\)

6\(\sqrt{30}\)

\(\sqrt{-1}\) = i

"The time taken by the airplane to travel 1200 miles while encountering a 50 mph headwind is 3 hours."

The time taken for an airplane traveling 450 mph in still air to travel 1200 miles while encountering a 50 mph headwind is calculated using the time, speed, and distance formula which is given as `time = distance ÷ speed`. Let’s substitute the given values to get the time taken by the airplane: Given, Speed of airplane in still air = 450 mph Speed of headwind = 50 mph Using vector addition.

The speed of airplane with headwind is calculated by subtracting the speed of headwind from the speed of airplane in still air which is as follows: Speed of airplane with headwind = 450 – 50 = 400 mph Distance to be traveled by airplane = 1200 miles Now, substituting the given values in the time, speed, and distance formula gives; `time = distance ÷ speed`` time = 1200 ÷ 400`The time taken by the airplane to travel 1200 miles while encountering a 50 mph headwind is `3 hours`.

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Answer:

OCD473

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Getting closer together means that both are becoming more accurate.

A valid model is such model whose calculated value approximates to the actual value. If it doesn't approximate to the actual value, it must be close to the actual value.

The model is valid if the results from the survey are close enough, together.

Given that:

\(p_1 = 75\%\) -- the actual estimation of satisfied students

\(p_2 = 70\%\) -- the second estimation of satisfied students

For a model to be valid, the calculated value must be close to the actual value.

If after Mateo's survey of more students, the result of satisfied or very satisfied students is still close to 75%, then Mateo's model is valid.

If otherwise, then the model is invalid.

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The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.

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Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

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3. Using  slope and/or the distance formula .The most precise name for the

figures A(-6, -7), B(-4,-2), C(2,-1), D(0) is: [A] rectangle.

4.  Using slope and/or the distance formula. The most precise name for the

figure: A(-3,-5), B(4, -2), C(7, -9), D(0,-12) is: [D] kite.

3. We must look at the sides and angles characteristics to identify the figure's name. We can plot the four points on a graph to see how the figure appears since we have four points.

When we plot the points on a graph we can see that BC and AD and AB and CD have the same length. In addition every angle is 90 degrees. The figure is a rectangle.

Therefore the correct option is A.

4. Once more we can graph the points and analyze the sides and angles characteristics.

Since AB, BC, and CD have different lengths when the points are plotted on a graph the figure is neither a rhombus nor a square. The figure is a kite since the diagonals AC and BD both connect at a straight angle.

Therefore the correct option is D.

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In light of this, Cylinder radius = r = 3.3 metres, Cylinder height = h = 6 metres. We need to calculate the cylinder's estimated volume in cubic feet. So, the approximate volume of the cylinder in cubic feet is 7237.775 ft³.

We now know that the formula for cylinder volume is V = πr²h , where V is the volume, r is the radius, h is the height, and π is a constant equal to 3.14.

Now, we can substitute the given values in the formula and solve for the volume of the cylinder. V = πr²h = 3.14 × (3.3 meters)² × (6 meters) ...[Substitute r = 3.3 meters, h = 6 meters and π = 3.14 in the above formula]V = 204.828 m³ ...[Solve using calculator]Now, we need to convert cubic meters into cubic feet.

We know that, 1 meter = 3.28084 feetSo, 1 meter³ = (3.28084 feet)³ = 35.3147 cubic feet. Therefore, 1 m³ = 35.3147 ft³.

Now, we can use this conversion factor to convert the volume of cylinder from cubic meters to cubic feet.V = 204.828 m³ × (35.3147 ft³/m³) = 7237.775 ft³ (approx).

Therefore, the approximate volume of the cylinder in cubic feet is 7237.775 ft³.

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It seems that the table has not been provided in the question. However, I can provide a general method to complete the table based on the given information.

If each rectangle is 16% longer than the original, we can calculate the length of each new rectangle by adding 16% of the original length to the original length.

Let L be the original length of the rectangle. Then, the length of the new rectangle would be L + 0.16L = 1.16L.

Using this formula, we can calculate the length of the new rectangle for any given original length. For example, if the original length is 10 cm, then the length of the new rectangle would be:

1.16 x 10 cm = 11.6 cm

Similarly, we can calculate the length of the new rectangle for any other original length and complete the table accordingly.

Answer:

AB

Step-by-step explanation:

The diameter has to pass  through the center of the circle and tough the outside of the circle on both ends

The diameters are

DE and AB

They can also be written as

ED and BA

Answer:

option A :  AB

Step-by-step explanation:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Both AB and DE are diameters.

Therefore, Option A : AB

And the correct graph is the one in option b.

We know that you have 8 cups of flour, and it takes one cup of flour to make 24 cookies.

Then the linear function:

c(f) = 24*f

Relates the number of cookies that we can make using f cups of flour.

Then the possible domain of this function (the possible values of f) is given by:

0  ≤ f ≤ 8

The maximum number of cookies that can be made is:

24*8 = 192

And the range is:

0 ≤ c ≤ 192

With that in mind, we can see that the correct graph is the one in option b.

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Answer:

1040 fries

Step-by-step explanation:

Mass of Fries + Bag= 2268 grams

Mass of Bag ONLY = 284 grams

2268 g - 284 g = 1984 g

Fries ONLY = 1984 g

Mass of 125 Fries= 238 grams

Now we use a proportion

125 fries / 238 g = x fries / 1984 g

125/238 = x/1984

Cross multiply.

238x = 125 × 1984

238x = 248,000

x = 1042

Answer: 1040 fries

Answer:

Step-by-step explanation:

So Basically, We know to find The angle x we need to do some working out. We know angles in a triangles add to 180* degrees c* so we add up all angles in the triangle  so 45+45 which is 90* Are you following me here? :> Ok then You will do 180-90= 90

X = 90 :>

(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.

(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.

(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.

(d) Given the market conditions and demand function, the total market supply can be calculated.

(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).

(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.

(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).

(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.

In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.

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Answer:

Step-by-step explanation:

Even though there aren't any

options for what 5 percent of 35

is, I can find it out without multiple choice.

Answer = 1.75

Hope this helps! <3

A quadrilateral is a polygon with 4 number of sides and 4 vertices. The measure of ∠R, ∠S, and ∠T is 112°, 112°, and 68°, respectively.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

Since the given quadrilateral is a cyclic quadrilateral, therefore, the sum of the opposite angles of the quadrilateral will be 180°. Therefore, the sum of the ∠R and ∠T can be written as,

∠R + ∠T = 180°

(3x + 40) + (5x − 52) = 180

3x + 40 + 5x - 52 = 180

8x - 12 = 180

8x = 168

x = 24

Now, the measure of angle ∠R and ∠T can be written as,

∠T = 5x − 52 = 5(24) − 52 = 68°

∠R = 3x + 40 = 3(24) + 40 = 112°

Also, the sum of ∠Q and ∠S is 180°. Therefore,

∠Q + ∠S = 180°

68° + ∠S = 180°

∠S = 112°

Hence, the measure of ∠R, ∠S, and ∠T is 112°, 112°, and 68°, respectively.

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The  true statement based on the box-and whisker plot of 19 people are The median monthly salary is higher than the first quartile, The first quartile is higher than the minimum monthly salary, The third quartile is higher than the median monthly salary, The maximum monthly salary is higher than the third quartile, There are no outliers in the dataset.

A box-and-whisker plot provides a graphical representation of the five-number summary of a dataset: the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value. The box itself represents the middle 50% of the data (between Q1 and Q3), and the whiskers extend to the minimum and maximum values, with any outliers plotted as individual points.

Therefore, some possible statements that could be true based on the box-and-whisker plot of the monthly salaries of the 19 people are:

The first quartile is higher than the minimum monthly salary.

The third quartile is higher than the median monthly salary.

The median monthly salary is higher than the first quartile.

The maximum monthly salary is higher than the third quartile.

There are no outliers in the dataset.

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The force is 1.6N and the distance between them is 1.3 meters

An inverse variation from force to the square of distance is represented s:

k = Fd^2

Where k represents the variation constant

When F = 10, d = 2.

So, we have:

k = 10 * 2^2

k = 40

Substitute k = 40 in k = Fd^2

Fd^2 = 40

When d = 5, we have:

F * 5^2 = 40

This gives

25F = 40

Divide by 25

F = 1.6

Hence, the force is 1.6N

In (a), we have:

Fd^2 = 40

When F = 25, we have:

25 * d^2 = 40

This gives

25d^2 = 40

Divide by 25

d^2 = 1.6

Take the square root of both sides

d = 1.3

Hence, the distance between them is 1.3 meters

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The equation of the curve is `y = 4x³ - 10x + 1` and the slope of the tangent line at (3, 16.6) is 98.

A curve is a solution to `dy/dx = 12x² - 10`

Also, the point (0, 1) is a point of inflection and the slope of the tangent line at (3, 16.6).To find an equation of the curve having all these properties, we need to perform the following steps:

1: Integrate `dy/dx` to get `y`y = ∫(12x² - 10) dx = 4x³ - 10x + C where C is the constant of integration.

2: Find the value of `C` using the point (0, 1)Substitute x = 0 and y = 1 in the equation of `y`4(0)³ - 10(0) + C = 1C = 1

3: Therefore, the equation of the curve is `y = 4x³ - 10x + 1`

4: Find the derivative of the curve to find the slope of the tangent line. `y = 4x³ - 10x + 1`=> `dy/dx = 12x² - 10`

Therefore, the slope of the tangent line at x = 3 is `dy/dx` evaluated at x = 3.`dy/dx` = 12(3)² - 10= 98

Therefore, the slope of the tangent line at (3, 16.6) is 98

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Answer:

C. The product of two irrational numbers is irrational.

Example: √3•√3=3

The description of the transformation f(x) = 3x + 5 and r(x) = f(1/3x) is that the function f(x) is compressed horizontally by a factor of 3 to form r(x)

The equations of the functions are given as

f(x) = 3x + 5

r(x) = f(1/3x)

The equation r(x) = f(1/3x) implies that the function f(x) is compressed horizontally by a factor of 3

Hence, the description of the transformation f(x) = 3x + 5 and r(x) = f(1/3x) is that the function f(x) is compressed horizontally by a factor of 3 to form r(x)

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Answer:

yes

Step-by-step explanation:

both angels are the same and that means that the length of the parallel sides are also the same

Answer:

Step-by-step explanation:

Subtract 6 from 18. 3x=18. You could divide by 3 to get x=6

Answer:

f(x) = |x + 4| + 2.

Step-by-step explanation:

When you shift the function to the left, the x-value changes, so you put the change within the absolute value. Also, within the absolute value, when you shift things to the right, you minus, and when you shift to the left, you add.

When you shift the function up, the y-value changes, so you put the changes outside of the absolute value. Shifting up means adding and shifting down means subtracting.

Hope this helps!

Answer:

Around 52.94%

Step-by-step explanation:

We can use the percentage error formula, which is

\(\frac{|approx-exact|}{exact}\cdot100\).

The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.

\(\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94\)

Hope this helped!

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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