what percentage of drivers obey the law despite not knowing the law use percentages to answer round to one decimal place

Answer:

 \(-\frac{\sqrt2}{2} \\\)  or exact is −0.70710678...

Step-by-step explanation:

Getting the point!

Finding the sin!

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In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.

We must figure out how many sales are necessary to get that income.

Let's write "S" to represent the sales amount.

The associate's base pay is $450 per week, and she receives a commission of 2% of her sales. Her commission is therefore equal to 0.02S (2% of sales), which can be computed.

The total income must be at least $800 in order for her to fulfill her goal. As a result, we may construct the equation shown below:

Base Salary + Commission ≥ Goal

$450 + 0.02S ≥ $800

Now, we can solve the inequality to find the minimum sales amount:

0.02S ≥ $800 - $450

0.02S ≥ $350

Divide both sides by 0.02 to isolate 'S':

S ≥ $350 / 0.02

S ≥ $17,500

Therefore, In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.

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1. A simplified expression for the volume of the above prism is 15x³ cubic units.

2. Destiny made her mistake in step 1, and the correct solution with steps is shown below.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 3x × 5x ×  x

Volume of rectangular prism = 15x³ cubic units.

Question 2.

Given the following expression, \(\frac{5(x+2)-(8-x)}{2}\)

Step 1: we would open the bracket;

\(\frac{5x\;+\;10\;-\;8\;+\;x}{2}\)

Step 2: we would collect like-terms and evaluate;

\(\frac{5x\;+\;x\;+\;10\;-\;8}{2}\\\\\frac{6x\;+\;2}{2}\)

Step 3: we would split;

\(\frac{6x}{2}+ \frac{2}{2}\)

Step 4: we would divide;

3x + 1

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On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = \(-1 < y < 1\)

Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.

The Range of the given function, f(x) = sin(x)

\(-1 < y < 1\)

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The 96% confidence interval for the difference in proportions is (−0.1127, 0.3191)

To compare the proportions of success in two binomial experiments, we can use the two-sample Z-test.

Let p1 be the proportion of success in the first experiment and p2 be the proportion of success in the second experiment. We want to test the null hypothesis H0: p1 = p2 against the alternative hypothesis Ha: p1 ≠ p2.

First, we calculate the point estimate of the difference in proportions:

\(pp1 - p2 = \frac{54}{94} - \frac{40}{63} = 0.1032\)

Next, we find the critical value of the test statistic. Since the confidence level is 96%, we have alpha = 0.04/2 = 0.02 on each tail of the distribution. Using a standard normal distribution table, we find that the critical values are ±2.0537.

The margin of error is given by:

\(ME= z \sqrt{\frac{p1(1-p1)}{n1} +\frac{p2(1-p2)}{n2} }\)

where z* is the critical value, n1 and n2 are the sample sizes of the two experiments. Plugging in the values, we get:

\(ME= z \sqrt{\frac{0.5769(1-0.5769)}{94} +\frac{0.6349(1-0.6349)}{63} }= 0.2159\)

Finally, we can construct the confidence interval for the difference in proportions as:

(p1 - p2) ± ME

which gives us:

0.1032 ± 0.2159

Thus, the 96% confidence interval for the difference in proportions is (−0.1127, 0.3191).

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Thus, the probability that two people picked at random both own a dog is 0.1296 or 1296/10000.

To solve this problem, we need to use the formula for calculating the probability of independent events: P(A and B) = P(A) x P(B).

In this case, let A be the event that the first person owns a dog and B be the event that the second person owns a dog.

We know that P(A) = 0.36, or 36% chance that the first person owns a dog. Since the events are independent, P(B) is also 0.36.

So, the probability of both events occurring (both people owning dogs) is:

P(A and B) = P(A) x P(B)
= 0.36 x 0.36
= 0.1296

This can also be expressed as a fraction:

P(A and B) = 36/100 x 36/100
= 1296/10000

Therefore, the probability that two people picked at random both own a dog is 0.1296 or 1296/10000.

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Answer:

To determine whether q(!x) = 3x21 2x22 x23 4x1x2 4x2x3 is positive definite, we need to check the signs of the eigenvalues of the matrix Q defined by Q_ij = ∂^2q/∂xi∂xj evaluated at !x.

Using the expression for q(!x), we can compute the Hessian matrix of q as follows:

H(q) = [6 4 0;
          4 0 4;
          0 4 0]

Evaluating this matrix at !x = [x1; x2; x3]t, we get:

H(q)(!x) = [6x1+4x2 4x1 0;
               4x1 0 4x3;
               0 4x3 0]

Next, we need to find the eigen values of this matrix. The characteristic polynomial of H(q)(!x) is given by:

det(H(q)(!x) - λI) = λ^3 - 6x1\(λ^2\)- 16x3λ

The roots of this polynomial are the eigen values of H(q)(!x). We can solve for them using the cubic formula or by factoring out λ:

λ( \(λ^2\)- 6x1λ - 16x3) = 0

Thus, we have one eigen value at λ = 0 and two others given by the roots of the quadratic equation:

\(λ^2\)- 6x1λ - 16x3 = 0

The discriminant of this quadratic is Δ = 36x\(1^2\) + 64x3, which is always non-negative since x is positive definite. Therefore, the quadratic has two real roots if and only if 6x ≥ \(1^2\)16x3, or equivalently, 3x \(1^2\) ≥ 8x3. This condition ensures that both eigenvalues are non-negative.

In conclusion, q(!x) is positive definite if and only if 3x\(1^2\)≥ 8x3.

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Answer:

I don’t know but I think is 17 units.

Step-by-step explanation:

=====================================================

Explanation:

Point M is at (4,6) and point M' is at (-4, -3) after shifting 8 units left and 9 units down.

Apply the distance formula.

\(M = (x_1,y_1) = (4,6) \text{ and } M' = (x_2, y_2) = (-4,-3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-(-4))^2 + (6-(-3))^2}\\\\d = \sqrt{(4+4)^2 + (6+3)^2}\\\\d = \sqrt{(8)^2 + (9)^2}\\\\d = \sqrt{64 + 81}\\\\d = \sqrt{145}\\\\d \approx 12.041595\\\\d \approx 12\\\\\)

The distance between the two points is about 12 units.

You could also use the pythagorean theorem as an alternative method.

Answer:

62

Step-by-step explanation:

you have to work out the surface area of a cuboid by:

3×2=6

5×3=15

5×2=10

sum of all the areas is 31

then times it by 2 which is 62

you don t really have to pay attention to the net, apart from the 2cm because you don t want to use it twice in the calculation.

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

hey can you make a zoom so I can join

hey can you make a zoom so I can join

hey can you make a zoom so I can join

hey can you make a zoom so I can join

hey can you make a zoom so I can join

hey can you make a zoom so I can join

hey can you make a zoom so I can join

hey can you make a zoom so I can join

hey can you make a zoom so I can join

hey can you make a zoom so I can join

Step-by-step explanation:

Answer:

25°

Step-by-step explanation:

look at the picture, that's the ans

Answer:

x = 25.4

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

139° is an exterior angle of the triangle, then

5x - 25 + 37 = 139

5x + 12 = 139 ( subtract 12 from both sides )

5x = 127 ( divide both sides by 5 )

x = 25.4

Answer:

\(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)

Step-by-step explanation:

Let's factorize the 1st option :

⇒ \(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)

⇒ \(f(x) = \frac{x^{2}+x-6x-6 }{(x+2)(x-2)}\)

⇒ \(f(x) = \frac{(x+1)(x-6)}{(x+2)(x-2)}\)

===============================================================

Finding the zeros :

⇒ Factors of numerator should be equated to 0

=============================================================

Solution :

\(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)

Answer:

first option

Step-by-step explanation:

the zeros are determined by the numerator of the rational function.

given that the zeros are x = - 1 and x = 6 , then the corresponding factors are

(x + 1) and (x - 6) , that is

(x + 1)(x - 6) ← expand using FOIL

= x² - 5x - 6

the rational function is then

f(x) = \(\frac{x^2-5x-6}{x^2-4}\)

The LCM of the set of numbers are:

1. {12,15} = 60

2. {16,24} = 48

3. {18,27} = 54

4. {20,28} = 140

5. {36,54} = 108

6. {9,12,24} = 72

7. {15, 20, 45} = 180

8. {6,8,12} = 24

9. {4,6,9} = 36

10. {8,9,12} = 72

The least common multiple of two or more numbers is the least multiple that is common to two or more numbers. A multiple of a number is the product of an integer and that number. For example, the multiples of 6 are 12 and 18.

Prime factors of 12 = 2 x 2 x 3

Prime factors of 15 = 3 x 5

LCM = 2 x 2  x 3 x 5 = 60

Prime factors of 16 = 2 x 2 x 2 x 2

Prime factors of 24 = 2 x 2 x 2 x 3

LCM = 2 x 2 x 2 x 2 x 3 = 48

Prime factors of 18  = 2 x 3 x 3

Prime factors of  27  = 3 x 3 x 3

LCM = 2 x 3 x 3 x 3 = 54

Prime factors of 20  = 2 x 2 x 5

Prime factors of 28  = 2 x 2 x 7

LCM = 2 x 2 x 5 x 7 = 140

Prime factors of 36  =2 x  2 x 3 x 3

Prime factors of 54  = 2 x 3 x 3 x 3

LCM = 2 x 2 x3 x 3 x3 = 108

Prime factors of 9  = 3 x 3

Prime factors of 12 = 2 x 2 x 3

Prime factors of 24 = 2 x 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

Prime factors of 15 = 3 x 5

Prime factors of 20 = 2 x 2 x 5

Prime factors of  45 = 3 x 3 x 5

LCM = 2 x 2 x 3 x 3 x 5 = 180

Prime factors of 6  = 2 x 3

Prime factors of 8= 2 x 2 x 2

Prime factors of  12= 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 = 24

Prime factors of 4  = 2 x 2

Prime factors of 6= 2 x 3

Prime factors of  9= 3 x 3

LCM = 2 x 2 x 3 x 3 = 36

Prime factors of 8 = 2 x 2 x 2

Prime factors of 9= 3 x 3

Prime factors of 12 = 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

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Answer:

B

Step-by-step explanation:

In the middle of the kite, there are 4 angles that are the same (90*)

So using the given angle 54 and the 90* we can find the last angle

54 + 90 = 144

180 - 144 = 36

The left-over angle is 36*

Answer:

PO = 7

PM = 7

MJ = 11

∠PJO = 32°

∠KJL = 64°

PL ≈ 18.385

OL = 17

∠PLO = 22°

∠NLO = 44°

∠JKL = 72°

∠MKP = 36°

∠NKP = 36°

∠PKN = 36°

KN = 10

PL ≈ 13.04

PK ≈ 12.21

JL = 28

JK = 21

LK = 27

Step-by-step explanation:

The given parameters are;

The point representing the incenter of the triangle = P

Therefore PO = PM = PN = 7

tan(32°) = PM/JM = 7/JM

∴JM = 7/(tan(32°)) ≈ 11.2

∠PJO = tan⁻¹(7/11)≈ 32.47°

∠PJO = ∠PJM = 32° similar triangles

∠KJL = ∠KJP + ∠PJO = 32 + 32 = 64°

∠KJL ≈ 64°

PL = √(7² + 17²) ≈ 18.385

OL = NL = 17 similar triangles

∠PLO = sin⁻¹(7/18.385) ≈ 22.380°

∠PLO = ∠PLN = 22°

∠NLO = ∠PNL + ∠OLP ≈ 22° + 22° ≈ 44°

∠NLO ≈ 44.380°

∠JKL = 180 - (∠KJL + ∠NLO)

∠JKL = 180° - (64° + 44°) ≈ 72°

∠JKL  ≈ 72°

∠MKP = ∠NKP = 72°/2 = 36°

∠MKP = 36°

∠NKP = 36°

∠PKN = ∠JKL - ∠MKP = 72° - 36° ≈ 36°

∠PKN  ≈ 36°

KN = KM = 10

MJ = OJ = 11

PL = √(7² + 11²) ≈ 13.04

PK = √(7² + 10²) ≈ 12.21

JL = JO + OL = 11 + 17 = 28

JK = JM + MK = 11 + 10 = 21

LK = LN + NK = 17 + 10 = 27

  By using the property of incenter, measures of the sides and the angles will be,

JK = 21.2 units

KL = 26.63 units

JL = 28.33 units

m∠K = 36°

 By the property of incenter,

PM = PN = PO = 7 units

∠MJP = ∠OJP = 32°

∠NLP = ∠OLP = 22°

 By the triangle sum theorem,

m∠JKL + m∠KLJ + m∠LJK = 180°

2(m∠NKP) + 2(m∠NLP) + 2(m∠MJP) = 180°

2(m∠NKP) + 2(22°) + 2(32°) = 180°

2(m∠NKP) = 180° - 108°

m∠NKP = 36°

From ΔJMP,

tan(32°) = \(\frac{MP}{MJ}\)

tan(32°) = \(\frac{7}{MJ}\)

MJ = \(\frac{7}{\text{tan}(32)^\circ}\)

MJ = 11.20

From ΔPOL,

tan(22°) = \(\frac{OP}{OL}\)

tan(22°) = \(\frac{7}{OL}\)

OL = 17.33

From ΔKNP,

tan(36°) = \(\frac{NP}{KN}\)

tan(36°) = \(\frac{7}{KN}\)

KN = 9.63

Therefore, JK = MJ + MK = 21.2 units

KL = LN + KN = 26.63 units

JL = JO + OL = 28.33 units

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Answer: y = -6x - 2  

Step-by-step explanation:

54x + 15 = -3(3y + 1)   To solve for y distribute on the right side to get,

54x + 15 = -9y -3        Add 3 to both sides

      +3             +3

54x  + 18 = -9y        Divide each term by -9 on each side.

y = -6x - 2

Answer______

54x + 15 = -3 (3y + 1)

54x + 15 = -9y -3

+3 +3

54x + 18 = -9y

y = -6x - 2

Answer:

2. 4

3. 5

4. 8

5. 9

6. 1

7. 6

8. 5

9. 7

10. 2

Step-by-step explanation:

Count the number of terms for each.  Alternately, count the number of "+" and "-", and add 1.

Answer:

associative

Step-by-step explanation:

the numbers are switched but they will equal the same thing

The probability of randomly selecting a coin from the jar with a value greater than 0.15 is approximately 0.536, or 53.6%.

To find the probability of selecting a coin from the jar with a value greater than 0.15, we need to determine the total number of coins with a value greater than 0.15 and divide it by the total number of coins in the jar.

- Pennies: 65

- Nickels: 27

- Dimes: 30

- Quarters: 18

To find the probability, we follow these steps:

1. Count the number of coins with a value greater than 0.15:

- Pennies have a value of 0.01, so none of the pennies have a value greater than 0.15.

- Nickels have a value of 0.05, so all of the nickels have a value greater than 0.15.

- Dimes have a value of 0.10, so all of the dimes have a value greater than 0.15.

- Quarters have a value of 0.25, so all of the quarters have a value greater than 0.15.

Therefore, the total number of coins with a value greater than 0.15 is 27 (nickels) + 30 (dimes) + 18 (quarters) = 75.

2. Count the total number of coins in the jar:

The total number of coins in the jar is 65 (pennies) + 27 (nickels) + 30 (dimes) + 18 (quarters) = 140.

3. Calculate the probability:

Probability (P) = Number of favorable outcomes / Total number of possible outcomes

In this case, the number of favorable outcomes is 75 (coins with a value greater than 0.15) and the total number of possible outcomes is 140 (total number of coins in the jar).

P (value greater than 0.15) = 75 / 140 ≈ 0.536

Therefore, the probability of randomly selecting a coin from the jar with a value greater than 0.15 is approximately 0.536, or 53.6%.

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If f(z) is analytic on |z| < 1, continuous on |z| ≤ 1, and real-valued for |z| = 1, then f is constant for all |z| ≤ 1.

To prove that f is constant for all |z| ≤ 1 given that f(z) is analytic on |z| < 1, continuous on |z| ≤ 1, and real-valued for |z| = 1, we can consider the function g(z) = \(e^(if(z))\)and show that g(z) is constant on |z| ≤ 1. If g(z) is constant, then f(z) must also be constant.

Let's consider the function g(z) = \(e^(if(z))\). Since f(z) is real-valued for |z| = 1, we have\(e^(if(z))\) = \(e^(if(z))\)*, where * denotes complex conjugate. Now, let's consider the modulus of g(z):

|g(z)| = \(e^(if(z))\)| = |\(e^(if(z))\)*| = \(e^(if(z))\) * \(e^(-if(z))\) = 1.

From the above equation, we can see that |g(z)| is constant for all |z| ≤ 1. According to the modulus principle, if a function is analytic in a domain and its modulus is constant in that domain, then the function itself is constant in that domain.

Therefore, since g(z) is constant for all |z| ≤ 1, it implies that f(z) is also constant for all |z| ≤ 1. Hence, f is constant for all |z| ≤ 1.

This completes the proof that if f(z) is analytic on |z| < 1, continuous on |z| ≤ 1, and real-valued for |z| = 1, then f is constant for all |z| ≤ 1.

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Answer:

(-9,1.5)

Step-by-step explanation:

(-6*1.5, 1*1.5)

The volume of the cylinder in the diagram is  226.08 m²

The volume of a cylinder of diameter D and height H is:

V = pi*(D/2)²*H

wher pi = 3.14

In the diagram we can see that the cylinder has a diameter of 6 meters and a height of 8 meters, replacing that in the formula above, we can get:

V = 3.14*(6m/2)²*8m

V = 226.08 m²

That is the volume of the cylinder.

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Answer:

V = 72π m³ (exact)

V = 226.19 m³ (approximate)

SA = 66π m² (exact)

SA = 207.34 m² (approximate)

Step-by-step explanation:

Since you don't specify what you are looking for, here are the volume and surface area.

Volume:

V = πr²h

Total Surface Area

SA = 2πr² + 2πrh

r = d/2 = 6 m / 2 = 3 m

V = πr²h
V = π × (3 m)² × 8 m

V = 72π m³ (exact)

V = 226.19 m³ (approximate)

SA = 2πr² + 2πrh

SA = 2 × π × (3 m)² + 2 × π × 3 m × 8 m

SA = (18π + 48 π) m²

SA = 66π m² (exact)

SA = 207.34 m² (approximate)

The probability that at least 75 rolls are necessary to exceed a total sum of 275 is approximately 0.293.

Let X be the random variable denoting the total number of rolls required to exceed 275. We want to calculate P(X >= 75). The probability of rolling a number greater than 5 is 1/3, and the probability of rolling a number less than or equal to 5 is 2/3. Therefore, the expected value of a single roll is

The variance of a single roll is

Using the properties of the geometric distribution, we can calculate the probability that it takes at least 75 rolls to achieve a sum greater than 275:

P(X >= 75) = (1 - P(X < 75)) = (1 - (1 - (275/3.67)/75\()^{(75)}\)) = 0.293.

Therefore, the probability that at least 75 rolls are required is approximately 0.293.

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