Let v =LeftAngleBracket 8, negative 1 RightAngleBracket. What is the approximate direction angle of v?

7°
83°
173°
353°

Yes the comparison fair because, Sampling is the act or process of choosing a sample from a population. In our everyday practical lives, sampling is frequently used.

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Answer: \(84\ \text{units}\)

Step-by-step explanation:

Given

The length of each cube is \(a=14\ \text{units}\)

If there are 6 cubes placed over each other, then the height achieved by the cubes is

\(\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}\)

Answer:

x is 6 i believeee if you're solving for x!!

Step-by-step explanation:

Answer:

x = 1 + 0.5 * 10^7

Step-by-step explanation:

Use log(a) + log(b) = log(ab).

log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7

Using log(a) = b <=> a = 10^b

log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7

a) This test is one-sided. b) Hypotheses: Null hypothesis (H0): is not significantly greater than the allowable limit (μ <= 51 mg/I). Alternative hypothesis (H1): significantly greater than the allowable limit (μ > 51 mg/I). c) Using a z-table or calculator, the critical value for α = 0.02 is approximately 2.055. d) The test statistic is = 5.625 e) This p-value is very small and can be approximated as less than 0.001. f) There is strong evidence to suggest that the concentration of the pollutant in the Liesbeek river exceeds the allowable limit.

(a) The test in question is one-sided because it specifically aims to determine if the pollutant concentration exceeds the safe limit (greater than).

(b) The hypotheses being tested are: Null Hypothesis (H0): The mean pollutant concentration is equal to or below the safe limit (μ ≤ 51 mg/l). Alternative Hypothesis (H1): The mean pollutant concentration exceeds the safe limit (μ > 51 mg/l).
c) To determine the critical value, we need to find the z-score corresponding to the significance level of 2% (α = 0.02) in the upper tail of the standard normal distribution. Using a z-table or calculator, the critical value for α = 0.02 is approximately 2.055.

d) The test statistic can be calculated using the formula: test statistic = (sample mean - population mean) / (standard deviation / sqrt(sample size)) test statistic = \(\frac{(52.25 - 51)}{\frac{2}{\sqrt{25} } }\), test statistic = \(\frac{2.25 }{0.4}\), test statistic = 5.625

e) To determine the p-value of the test statistic, we compare it to the critical value. Since the test is one-sided and the test statistic is positive, the p-value is the probability of observing a test statistic greater than or equal to 5.625 in the upper tail of the standard normal distribution. This p-value is very small and can be approximated as less than 0.001.
f) Based on the p-value being smaller than the significance level of 0.02, we reject the null hypothesis. There is strong evidence to suggest that the concentration of the pollutant in the Liesbeek river exceeds the allowable limit.

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Answer:

1+1=2

2+2=4

4+3=7

7+4=11

so the patter is number + natural numbers (serially)

Step-by-step explanation:

The ratio of students who secured grades A,B,C and D​ is 9 : 15 : 4 : 2

From the question, we have the following parameters that can be used in our computation:

Students = 60

A = 18

B = 30

C = 8

D = 4

When represented as a ratio, we have

Ratio = A : B : C : D

substitute the known values in the above equation, so, we have the following representation

A : B : C : D = 18 : 30 : 8 : 4

Simplify

A : B : C : D = 9 : 15 : 4 : 2

Hence, the ratio of students who secured grade A,B,C and D​ is 9 : 15 : 4 : 2

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Answer:

1:36

Step-by-step explanation:

Length:

6 inches : 18 feet

1 ft = 12 inches

6 inches = 6/12 = 0.5 ft

Length:

0.5 ft : 18 ft

then. rhe scale is:

1: 36

The correct statement is given as follows:

The function g(t) reveals the market value of the house increases by 3.6% each year.

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter b for this problem is given as follows:

b = 1.036.

As the parameter b has an absolute value greater than 1, the function is increasing, with a rate given as follows:

1.036 - 1 = 0.036 = 3.6% a year.

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The diameter change of the 50-ft spherical tank due to internal pressure of 100 psi is approximately 0.0214 inches.

To calculate the diameter change of the spherical tank, we can use the formula for the change in diameter due to internal pressure in a thin-walled sphere:

ΔD = (4 * E * ΔP * D) / (3 * (1 - ν^2) * t)

where:

ΔD is the change in diameter

E is the elastic modulus of the steel (30,000,000 psi)

ΔP is the internal pressure (100 psi)

D is the original diameter of the tank (50 ft)

ν is the Poisson's ratio of the steel (0.3)

t is the thickness of the steel plate (0.5 inches)

Plugging in the given values into the formula, we have:

ΔD = (4 * 30,000,000 * 100 * 50) / (3 * (1 - 0.3^2) * 0.5)

Simplifying the equation, we get:

ΔD = 0.0214 inches

Therefore, the diameter change of the 50-ft spherical tank due to the internal pressure of 100 psi is approximately 0.0214 inches.

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Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

90

Step-by-step explanation:

4x+22=-6x+192 since 4x+22 is the same as angle 5 due to parallel lines, and then 5 = -6x+192 as it is straight across.

4x+22=-6x+192

10x+22=192

10x=170

x=17

plug back in to equation

4(17)+22= 90

Answer:

∠3  =  90°

Step-by-step explanation:

∠4 = ( 4x + 22 )°                          [ Vertically opposite angles ]

∠4 = ( -6x + 192)°                         [ Corresponding angles ]

Therefore ,

4x + 22 = - 6x + 192

4x + 6x = 192 - 22

10x = 170

x = 17

∠4 = 4x + 22 = (4 × 17 ) + 22 = 90°

∠4 = 90°

∠3 + ∠4 = 180°                              

∠3 + 90° = 180°                              

∠3  = 180° - 90°                            

∠3  = 90°  

Equation that represents the relationship between x and y is  y = 10x

A variable in mathematics is a sign or letter that designates a variable or changeable number. It is typically used to symbolize ambiguous or undefined values in a mathematical expression, equation, or formula. Depending on the situation, variables may take on a variety of meanings.

Given that:

When x = 1, then y = 10

also when x = 2, then y = 20

x/y = x/y

1 / 10 = 2 / 20

That is

x/y = 1 / 10

1 × y = x × 10

= y = 10x

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Answer:

11+x because the equation is reversabel.

Step-by-step explanation:

By meeting these conditions, you can construct a valid and useful confidence interval when working with a sample size of 18.

To create a confidence interval when the sample size (n) is 18, it is essential for the data to meet certain conditions. Here's a summary of the requirements:

1. Distributed normally: The data should follow a normal distribution, which is characterized by a bell-shaped curve. This condition is necessary to apply the central limit theorem and calculate the confidence interval accurately.

2. Accurate: The data should be collected in a reliable and unbiased manner to ensure that the confidence interval reflects the true population parameter.

3. Theoretically determined: The confidence level (e.g., 95% or 99%) should be predetermined, as it affects the width of the interval and helps you understand the degree of certainty about the population parameter.

4. Not spread too wide: The data should have a reasonable amount of variability, as extremely wide ranges can affect the precision of the confidence interval and make it difficult to draw meaningful conclusions.

By meeting these conditions, you can construct a valid and useful confidence interval when working with a sample size of 18.

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a) r = [1, 1, 2] + t[2, 5, 4]  This is the vector equation of the line passing through points U and V.

b) 1(r1 - 1) + 2(r2 - 1) + 6(r3 - 2) = 0 This is the equation of the plane with normal vector n and point U lying on it.

c) The intersection between the line and the plane is the point [1, 1, 2].

a. To write down the vector equation of a line passing through points U and V, we can use the parametric form of a line. The vector equation is given by:

r = u + t(v - u)

where r is the position vector of any point on the line, u and v are the position vectors of points U and V respectively, and t is a parameter that varies along the line.

In this case, we have:

u = [1, 1, 2]

v = [3, 6, 6]

Substituting these values into the equation, we get:

r = [1, 1, 2] + t([3, 6, 6] - [1, 1, 2])

Simplifying further:

r = [1, 1, 2] + t[2, 5, 4]

This is the vector equation of the line passing through points U and V.

b. To find the equation of the plane with normal n = [1, 2, 6] and having point U lying on it, we can use the standard form of the plane equation. The equation is given by:

n · (r - u) = 0

where n is the normal vector, r is the position vector of any point on the plane, and u is a known point on the plane.

In this case, we have:

n = [1, 2, 6]

u = [1, 1, 2]

Substituting these values into the equation, we get:

[1, 2, 6] · (r - [1, 1, 2]) = 0

Expanding and simplifying further:

1(r1 - 1) + 2(r2 - 1) + 6(r3 - 2) = 0

This is the equation of the plane with normal vector n and point U lying on it.

c. To find the intersection between the line and the plane, we can substitute the vector equation of the line into the equation of the plane and solve for the parameter t.

Substituting the vector equation of the line into the plane equation, we get:

[1, 2, 6] · ([1, 1, 2] + t[2, 5, 4] - [1, 1, 2]) = 0

Simplifying further:

[1, 2, 6] · [2t, 5t, 4t] = 0

2t + 10t + 24t = 0

36t = 0

t = 0

Substituting t = 0 back into the vector equation of the line, we get:

r = [1, 1, 2] + 0[2, 5, 4]

r = [1, 1, 2]

Therefore, the intersection between the line and the plane is the point [1, 1, 2].

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Answer:

C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.

Step-by-step explanation:

Find the unit rates of both stores by dividing the price by the number of bagels:

Store A:

2.05/5

= 0.41

Store B:

1.35/3

= 0.45

Store B's bagels are $0.04 more than Store A's, so C is the correct answer.

An expression for the volume of the figure as a polynomial in standard form will be;

⇒ V = π (3x³ - 16x² + 28x - 16)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ V = π r² h

Now,

Here, Radius = x - 2

And, Height = 3x - 4

Substitute all the values, we get;

⇒ V = π r² h

⇒ V = π (x - 2)² (3x - 4)

⇒ V = π (x² + 4 - 4x) (3x - 4)

⇒ V = π (3x³ - 4x² + 12x - 16 - 12x² + 16x)

⇒ V = π (3x³ - 16x² + 28x - 16)

Thus, An expression for the volume of the figure as a polynomial in standard form will be;

⇒ V = π (3x³ - 16x² + 28x - 16)

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The dimensions of the large soccer field are 361 x 295.28 feet.

To convert the dimensions of the large soccer field from meters to feet, we multiply each dimension by the conversion factor of 1 meter equals 3.281 feet.

Length conversion: The length of the soccer field is 110 meters. Multiply this by the conversion factor: 110 meters * 3.281 feet/meter = 361 feet.

Width conversion: The width of the soccer field is 90 meters. Multiply this by the conversion factor: 90 meters * 3.281 feet/meter = 295.28 feet.

Therefore, the large soccer field measures 361 feet long and 295.28 feet wide when converted to the imperial unit of feet.

By applying the conversion factor, we accurately express the field's dimensions in the desired measurement system.

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ANSWER

x = 15, y = 30

EXPLANATION

We want to solve the system of equations by substitution method.

We have that:

y = x + 15

y = 2x

Substitute the value of y in the second equation into the first:

=> 2x = x + 15

Collect like terms:

2x - x = 15

x = 15

Recall that:

y = 2x

=> y = 2(15)

y = 30

The solution to the system of equations is: x = 15, y = 30

The number of square tiles needed is 24 tiles

The formula for calculating the area of a rectangle is expressed as:

A = LW where:

L is the length

W is the width

For the rectangle:

Area = 12 feet × 8 feet

Area = 96ft²

For the square:

Area of a square = L²

Area of a square = 2²

Area of a square = 4ft²

Determine the number of square tiles that will cover the patio.

Number of square tiles needed = Area of rectangle/Area of square

Number of square tiles needed = 96/4

Number of square tiles needed = 24

Hence the number of square tiles needed is 24 tiles.

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Answer:

41200 in scientific notation = 4,1 . 10⁴

Answer:

The exponent is 4

\(4.12\) × \(10^{4}\)

Step-by-step explanation:

Hope this helps

Answer:

Any picture ?

Step-by-step explanation:

Answer:

the difference is 1/21

Step-by-step explanation:

2/3 equals 14/21 and 5/7 equals 15/21

the probability is 5/12

To calculate the probability that the sum of the values on two fair six-sided dice is a prime number, we need to determine the number of favorable outcomes (sums that are prime) and the total number of possible outcomes.

First, let's identify the prime numbers that can be obtained as the sum of two dice:

2 (1+1)

3 (1+2, 2+1)

5 (1+4, 2+3, 3+2, 4+1)

7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)

11 (5+6, 6+5)

There are 15 pairs whose sum is prime numbers that can be obtained as the sum of two dice.

Next, let's calculate the total number of possible outcomes when throwing two six-sided dice. Each die has 6 possible outcomes, so the total number of outcomes is 6 * 6 = 36.

Therefore, the probability that the sum of the values on two fair six-sided dice is a prime number is:

Number of favorable outcomes / Total number of possible outcomes

= 15 / 36

= 5/12

Therefore, the probability is 5/12

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Answer:What is the slope of the line through (-5,-10)(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and (-1,5)(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?

Step-by-step explanation:

Answer:x^2-x-3

Step-by-step explanation:

step 1-find area of rectangular lawn

(2x+1)(x+1)=2x^2+3x+1

step 2-find area of garden

(x+2)(x+2)=x^2+4x+4

step 3- subtract the two

=x^2-x-3

The first step is to find the probability value corresponding to z = - 0.82 and z = 2.10 from the standard normal distribution table. Looking at the table,

Probability value corresponding to z = - 0.82 = 0.20897

Probability value corresponding to z = 2.10 = 0.98214

The area under the curve is the difference between both probability values. Hence,

area under curve = 0.98214 - 0.20897 = 0.77317