The results of the chi-square test of independence found that fear of crime depended on one's perception of whether their neighborhood was a high crime area or not. if the null hypothesis is rejected, which is the most appropriate conclusion that can be made

The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

According to the statement

we have to find that the rational numbers.

So, For this purpose, we know that the

Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

From the given information:

The given numbers are between -1/2 and 4/7

Then to find the numbers then

Rational numbers = (-1/2 +4/7) /2

Rational numbers = (-1 +2/7)

Rational numbers = -5/7.

And then the number becomes -6/7, 2/7,3/7.

Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

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The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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Answer:

3.27

Step-by-step explanation:

Answer:

no it is not proportional

Answer:

No 3/9 would be proportional to 6/18

Step-by-step explanation:

I think

If the first and last terms of an arithmetic series are 5 and 27, respectively, and the sum of the series is 192, then the number of terms in the series can be calculated as 12.

To find the number of terms in the arithmetic series, we can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

We are given the first term (5), the last term (27), and the sum (192). Plugging these values into the formula, we have:

192 = (n/2)(5 + 27)

Simplifying the equation:

192 = (n/2)(32)

192 = 16n

Dividing both sides of the equation by 16:

n = 192/16

n = 12

Therefore, the number of terms in the arithmetic series is 12.

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Answer:

4x=>-74

Step-by-step explanation:

x+23=>18

4(x+23)=>18

4x+92=>18

collect like terms

4x=>18-92

4x=>-74

Answer is 4 (x + 23 ) ≥ 18

Step by step

4 times the sum of a number and 23

4(x + 23)

Is at least 18

≥ 18

Your inequality

4 (x + 23 ) ≥ 18

to solve, distribute

4x + 92 ≥ 18

subtract 92 from both sides

4x + 92 - 92 ≥ 18 - 92

simplify

4x ≥ -74

divide both sides by 4 to solve for x

4/4 x ≥ -74/4

x ≥ 18.5

18.5 is equal to or greater than 18 so problem solved

** We used ≥ in this inequality which means at least (equal to) this number or greater

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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Answer:

65.4 degrees

Step-by-step explanation:

sin theta = 100/110

theta = inverse sin (100/110)

theta = 65.4 degrees

Hope this helped!

The required maximum safe angle of elevation for the rescue ladder is 65.4°

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.



here,
Perpendicular distance = 100 ft
hypotenuse length = 110 ft
SinФ = perpendicular height/hypotenuse length

sin Ф= 100/110

Ф = inverse sin (100/110)

Ф = 65.4 °

Thus, the required maximum safe angle of elevation for the rescue ladder is 65.4°

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Answer: D

Step-by-step explanation:

I am guessing but sorry if I am wrong

The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Answer:500 mile per hour

Step-by-step explanation: 4000/8=500

Answer: 500mi/h

Step-by-step explanation: Speed = distance/time.

distance = 4000mi(miles)

Time =8h(hours)

4000mi/8h = 500mi/h

Answer:

Area of ABCD = 959.93 units²

Step-by-step explanation:

a). By applying Sine rule in the ΔABD,

  \(\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}\)

  \(\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}\)

 Sin∠DBA = \(\frac{35\times \text{Sin}(110)}{46}\)

 m∠DBA = \(\text{Sin}^{-1}(0.714983)\)

 m∠DBA = 45.64°

 Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°

                  m∠ADB = 24.36°

c). Area of ABCD = Area of ΔABD + Area of ΔBCD

  Area of ΔABD = AD×BD×Sin(\(\frac{24.36}{2}\))

                           = 35×46Sin(12.18)

                           = 339.68 units²

   Area of ΔBCD = BD×BC×Sin(\(\frac{59.92}{2}\))°

                            = 46×27×(0.4994)

                            = 620.25 units²

   Area of ABCD = 339.68 + 620.25

                            = 959.93 units²

Answer:

no i didnt even know there was a tutor option

Step-by-step explanation:

Answer:

1) The image of the line has the same slope as the pre-image but a different y-intercept.

hope this helps ;)

The helix defined by the parameterization r(t) = (sin(t), cos(t), t) intersects the sphere x² + y² + z² = 17 at two points. These points are approximately (0.990, -0.140, 2.848) and (-0.990, 0.140, -2.848).

To find the points of intersection between the helix and the sphere, we substitute the helix coordinates into the equation of the sphere and solve for t.

Substituting x = sin(t), y = cos(t), and z = t into the equation x²+ y² + z² = 17 yields sin²(t) + cos²(t) + t² = 17.

Simplifying this equation gives t²- 17 = 0. Solving this quadratic equation, we find t = ±√17.

Substituting these values of t back into the helix parameterization, we obtain the approximate points of intersection: (0.990, -0.140, 2.848) and (-0.990, 0.140, -2.848).

These are the two points where the helix intersects the given sphere.

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Answer:

4.95

Step-by-step explanation:

The volume of the rectangular prism is 16.2 ft³.

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

\(V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3\)

\(V = \frac{6}{5} \times \frac{9}{2} \times 3\)

V = 162/10

V = 16.2

Hence, the volume of the rectangular prism is 16.2 ft³.

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The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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Answer: (Likely) y = -2x

Step-by-step explanation:

1. We know the line y = 2x + 4, it intersects 4 and it's rate of change is 2. We also know the point it is passing, (-4,-1).

2. With this info, It is best to confirm the slope is likely -2, since it is likely that lines when perpendicular are likely to be congruent.

3. So, how about the y intercept? Well, it's simple as well, we will substitute x for 0, and 2 times 0 equals 0, and y = 0, so the perpendicular line is y = -2x

We can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

If there are integers s and t such that as + bt = 15, then we can conclude that gcd(a, b) divides 15. This is known as Bézout's identity, which states that for any two integers a and b, there exist integers s and t such that as + bt = gcd(a, b).

To see why this is true, consider the set of all linear combinations of a and b, that is, the set {ax + by : x, y are integers}. This set contains all multiples of gcd(a, b) since gcd(a, b) divides both a and b.

Therefore, gcd(a, b) is the smallest positive integer that can be expressed as a linear combination of a and b.

Now, if as + bt = 15, then 15 is a linear combination of a and b, which means that gcd(a, b) divides 15.

Conversely, if gcd(a, b) divides 15, then we can find integers s and t such that as + bt = gcd(a, b), and we can scale this equation to obtain as' + bt' = 15, where s' = (15/gcd(a, b))s and t' = (15/gcd(a, b))t.

Therefore, we can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

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Answer: y = -4x + 29

Step-by-step explanation:

To find the equation of the line passing through the points (-3, 17) and (2, -3), we can use the slope-point form of a line, which is given by:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are the coordinates of any other point on the line. To find the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two points, we have:

m = (-3 - 17) / (2 - (-3)) = -20 / 5 = -4

Next, we plug in the coordinates of one of the points and the slope into the slope-point form of a line:

y - 17 = -4(x - (-3))

Expanding the right side:

y - 17 = -4x + 12

Adding 17 to both sides:

y = -4x + 29

So the equation of the line passing through the points (-3, 17) and (2, -3) is: y = -4x + 29

The probability that the arborist will break a saw chain on a day in which he spends 1/2 of his time climbing, 3/8 limbing, and 1/8 felling and bucking is 0.007

We are given the probabilities of an arborist breaking a saw chain in a day's work are 0.004 for a small climbing saw, 0.008 for a medium limbing saw, and 0.04 for a large felling and bucking saw.

The time that he spends on each saw are 1/2 of his time climbing, 3/8 limbing, and 1/8 felling and bucking.

Let us find the probability that he will break a chain when he uses the small climbing saw.

P(small climbing saw) = 1/2P(Break a chain using small climbing saw) = 0.004

Using the medium limbing saw: P(medium limbing saw) = 3/8P(Break a chain using medium limbing saw) = 0.008

Using the large felling and bucking saw: P(large felling and bucking saw) = 1/8P(Break a chain using large felling and bucking saw) = 0.04

Now, to find the probability that he will break a chain on a day, we use the weighted average. Probability is a weighted average because the probability of breaking the saw chain is different for each saw that he uses.

Hence, the probability that he breaks a saw chain when he uses each saw is weighted according to how much time he spends on that saw.

P = P(small climbing saw)* P(Break a chain using small climbing saw) + P(medium limbing saw) * P(Break a chain using medium limbing saw) + P(large felling and bucking saw) * P(Break a chain using large felling and bucking saw)P = (1/2 * 0.004) + (3/8 * 0.008) + (1/8 * 0.04)P = 0.007

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Answer:

Mean: 20

Median: 16

Mode: No mode

Step-by-step explanation:

For the mean:

44 + 4 + 27 + 5 = 80

80/4 = 20

For the median:

5 + 27 = 32

32/2 = 16

For the mode:
None of the numbers are repeated.

Answer:

Step-by-step explanation:

Can i be made brainliest

Answer:

1.2345679e+16

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

Simplify the expression

Answer: The number of the adult tickets is 168

Step-by-step explanation: * Lets explain how to solve the problem

- The adults ticket costs $10.50

- The students ticket costs $3.75

- The total money of the opening night is $2071.50

- The equation of the total money earned in the opening night is:

10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket

 and b is the number of the student ticket

- There were 82 students attended

* Lets solve the problem

∵ 10.50 a + 3.75 b = 2071.50

∵ The number of the students attended is 82

∵ b is the number of the students

∴ b = 82

- Substitute the value of b in the equation

∴ 10.50 a + 3.75(82) = 2071.50

∴ 10.50 a + 307.5 = 2071.50

- Subtract 307.5 from both sides

∴ 10.50 a = 1764

- Divide both sides by 10.50

∴ a = 168

∵ a is the number of the adult tickets

∴ The number of the adult tickets is 168

Give credit to ashraf 82

Answer:

The answer is 168

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3x+5+49=90

3x+54=90

3x=90-54

3x=36

3x/36/3

x=12

Answer:

1/5

Step-by-step explanation:

width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed

Given that :

Original Width of picture = 7 3/5 cm

Width required for picture to fit into frame=7 3/10

For picture to fit into frame:

(7 3/5 - 7 3/10) must be trimmed off from the frame.

(7 3/5 - 7 3/10)

(7 - 7) = 0

(3/5 - 3/10)

Taking the L. C. M

(6 - 3) / 10

= 2 / 10

= 1/5

THEREFORE, 1 / 5 of the width should be trimmed in other to ensure the picture fits into the frame.

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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There ought to be infinitely many solutions.

How many solutions can a system of 3 linear equations with 5 variables have?

There are infinitely many solutions. Assuming the 3 linear equations are linearly independent you have 2 free variables that can be chosen freely and depending on those two values you can find the 3 remaining variables as function of those two so for any choice of those two variables you can find a solution. If the equations are not linearly independent you have effectively only 1 or two equations so you can pick 4 or 3 variables freely and then the remaining variable or variables are function of these.

How do you solve a system of equations with 3 variables?
Simultaneous equations. Easy, if they are all linear. Possibly difficult otherwise. Basically pick 1 variable and 1 equation to rearrange so that variable is expressed in terms if the other 2. Then simplify. Now you have 2 equations in 2 variables. Repeat with the remaining 2 variables. When you have solved for the last variable, you can then substitute to solve for the second last. Then backtrack to the original substitution and solve that. General advice that works even for nonlinear equations.

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Answer:

22.8 kg?

Step-by-step explanation: