one condition for performing a hypothesis test is that the observations are independent. miguel is going to take a sample from a population of 450 students. how many students will miguel have to sample without replacement to treat the observations as independent?

The only solution of the system of equations is (3, 1). The points (6, -1) and (-1, 4) do not satisfy the system of equations.

To determine which of the given points are solutions of the system of equations {4x + 3y = 18, 5x - y = 14}, we need to substitute the values of x and y from each point into the two equations and check if both equations are satisfied.

Testing each point, we get:

For (6, -1):

4(6) + 3(-1) = 23 and 5(6) - (-1) = 31, which is not a solution of the system.

For (-1, 4):

4(-1) + 3(4) = 11 and 5(-1) - 4 = -9, which is not a solution of the system.

For (3, 1):

4(3) + 3(1) = 15 and 5(3) - 1 = 14, which satisfies both equations of the system.

Therefore, the only solution of the system of equations is (3, 1). The points (6, -1) and (-1, 4) do not satisfy the system of equations.

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Equation for G, representing the number of gallons of gas left after ‘T’ hours will be: G = 12 - 2T

Let G be the total number of gallons of gas left

And t be the time in hours

Since, car uses 2 gallons of gas in  1 hours

Therefore, total gallons of gas used in 4 hours will be 2 x 4 = 8 gallons

Total gallons of gas left after 4 hours = 4 gallons

Therefore, total gallons of gas before embarking on a road trip = 8 + 4 = 12 gallons

In general from the unitary method, number of gallons of gas used in time ‘T’ will be 2T

Therefore, Total gallons of gas left = (Total gallons of gas embarked on a road trip) - ( Total gallons of gas used in the trip at time ‘T’ )

From the above conclusions, we can write

G = 12 - 2T

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Answer: \(46^{\circ}\)

Step-by-step explanation:

Given

Perpendicular corresponding to \(\angle x\) is 21 units

The hypotenuse is 29 units

Using trigonometry we can write

\(\Rightarrow \sin x=\dfrac{21}{29}\\\\\Rightarrow \sin x=0.7241\\\\\Rightarrow x=\sin^{-1}(0.7241)=46.39^{\circ}\approx 46^{\circ}\)

Option (d) is correct

The Area Ratio is 1.5. and Perimeter Ratio is 1.22. The estimated overall cost for the proposed 15,000 SF warehouse is $150,000.

To perform a line by line estimate for the proposed warehouse, we'll calculate the area and perimeter ratios between the existing and proposed warehouses. We'll then use these ratios to estimate the overall cost for the proposed 15,000 square feet (SF) warehouse.

Given: Existing Warehouse:

Area: 10,000 SF

Perimeter: 410 LF

Proposed Warehouse:

Area: 15,000 SF

Perimeter: 500 LF

First, let's calculate the area ratio:

Area Ratio = Proposed Area / Existing Area

Area Ratio = 15,000 SF / 10,000 SF

Area Ratio = 1.5

Next, let's calculate the perimeter ratio:

Perimeter Ratio = Proposed Perimeter / Existing Perimeter

Perimeter Ratio = 500 LF / 410 LF

Perimeter Ratio = 1.22 (rounded to two decimal places)

We'll now use these ratios to estimate the overall cost for the proposed 15,000 SF warehouse. Since we don't have specific cost figures, we'll assume a linear relationship between the area and cost.

Cost Estimate = Existing Cost * Area Ratio

Let's assume the existing cost is $100,000.

Cost Estimate = $100,000 * 1.5

Cost Estimate = $150,000

Therefore, the estimated overall cost for the proposed 15,000 SF warehouse is $150,000.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Hello,

Let's say a the  first term and r the ratio  of the G.P.

\(u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\\dfrac{u_4}{u_1} =\dfrac{a*r^3}{a} =r^3=\dfrac{24}{81} =\dfrac{8}{27} \\\\r=\sqrt[3]{\dfrac{8}{27} } \\\\\boxed{r=\dfrac{2}{3}}\\\)

Answer:

no because

Fractions and decimals are not integers. All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.

-6/3 is not an integer.

A number system is defined as a system of writing to express numbers.

We need to check whether -6/3 is a integer or not .

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

The given number is a fraction which is not comes under the integers.

All whole numbers are integers but  but not all integers are whole numbers or natural numbers.

If the fraction is simplified we get -2 which will be an integer but the fraction form is not considered as integer.

Hence, -6/3 is not an integer.

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The produce a 95% confidence interval with a margin of error of 4% sample size of 451 the proportion of people eating breakfast is 75%.

The required sample size for a 95% confidence interval with a margin of error of 4% (0.04) and a proportion of 75%,

n = (Z² × p × (1-p)) / E²

where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = proportion of people eating breakfast (expressed as a decimal, so 75% is 0.75)

E = margin of error (0.04)

n = (1.9² × 0.75 × (1-0.75)) / 0.04²

n =(3.8416 × 0.75 × 0.25) / 0.0016

n = 0.7209 / 0.0016

n = 450.56

a fractional sample size, to round up to the nearest whole number.

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The magnetic force that the wire exerts on the point charge is in the negative z-direction.

When a current-carrying wire and a moving point charge are placed in a magnetic field, a magnetic force is exerted on the moving charge due to the interaction between the magnetic field and the charge's velocity. According to the right-hand rule, the direction of the magnetic force is perpendicular to both the velocity of the moving charge and the magnetic field created by the current-carrying wire.

In this scenario, the wire carrying current in the positive y-direction generates a magnetic field that circulates around the wire. The point charge moving along the x-axis in the positive x-direction experiences a magnetic force directed perpendicularly to both the velocity (positive x-direction) and the magnetic field (circulating around the wire). Applying the right-hand rule, the magnetic force is found to be in the negative z-direction, which is downward and perpendicular to the x and y axes.

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Answer:

walking 57 seconds Crawling 43 seconds

Step-by-step explanation:

100s

Walking + crawling

4cm/s. +. 3cm/s

= 7cm/s

walking length= 4cm/s/7cm/s x 100s

=57.14 or 57s

crawling =100s- 57s

=43s

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

We have,

The total number of people who watch drama.

= 12 + 20 + 19

= 51

The total number of people who is older than 20 years who watch drama.

= 20 + 19

= 39

Now,

The probability that the person selected is older than 20 years old and watching the drama movie.

= 39/51

= 0.765

Thus,

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

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Answer:

(72-40) = 8 x (9-5)

Step-by-step explanation:

GCF = 8

(72-40) = 8 x (9-5)

The number of small chocolate-bars sold is 272.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is another value. The sign used to represent ratios is :.

The number of packs small chocolate bars sold = (ratio of he number of small chocolate bars sold / sum of ratios) x number of chocolate bars sold

(5/7) x 95 = 67.8 = 68

The number of  small chocolate bars sold = 68 x 4 = 272

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Answer:

slope = \(\frac{2}{3}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = \(\frac{2}{3}\) x - 4 ← in slope- intercept form

with slope m = \(\frac{2}{3}\)

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

Bring the given equation to mentioned form:

Since m = 2/3, it is the slope of the given equation

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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The exact solutions to the trigonometric equation 2 sin²(x) + sin(x) = 0 are: x = nπ, -π/6, -5π/6, where n is an integer.

To find the exact solutions of the trigonometric equation 2 sin²(x) + sin(x) = 0, we can factor out sin(x) from the equation:

sin(x) * (2sin(x) + 1) = 0

Now, we set each factor equal to zero and solve for x:

sin(x) = 0

This equation is true when x is equal to nπ, where n is an integer.

Next, we solve the equation:

2sin(x) + 1 = 0

Subtracting 1 from both sides:

2sin(x) = -1

Dividing by 2:

sin(x) = -1/2

The solutions to this equation can be found using the unit circle or reference angles. The angles where sin(x) is equal to -1/2 are -π/6 and -5π/6.

Therefore, the exact solutions to the trigonometric equation 2 sin²(x) + sin(x) = 0 are:

x = nπ, -π/6, -5π/6

where n is an integer.

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Answer:

the answer-is 2

Step-by-step explanation:

-1-3x=-7

+1.      +1

-3x/-3=-6/-3

x=2

An algorithm that uses a constant number k of integer variables to find a number list's minimum value has space complexity "S(N) = N" and auxiliary space complexity __"S(N) = k.

Since Time complexity can be defined as a measure of the amount of time which is required by an algorithm to run till its completion of the task with respect to the length of the input.

Basically, the time complexity of an algorithm can be explained by f(N) if; for all "N" and all inputs with length "N" the execution of the algorithm takes a maximum of f(n) steps.

Therefore, we can conclude that the time complexity of an algorithm is also a measure of the efficiency of an algorithm.

Hence algorithm that uses a constant number k of integer variables to find a number list's minimum value has space complexity "S(N) = N" and auxiliary space complexity __"S(N) = k.

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Answer:

= -32

Step-by-step explanation:

-18 - (+14)

-18 - 14

-32

Espero esto te ayude!

Answer:

i dont understand spanish sorry

-18-14=-32

Step-by-step explanation:

Answer:

angle 6 is 113 degrees.

Step-by-step explanation:

This is due to the corresponding angles theorem: two corresponding angles will have the same angle.

Answer:

A. (x,y)-(-x,y)

Step-by-step explanation:

1. Look at the first FG, It is Positive X and Positive Y

2. A reflection is simply flipping something to the opposite side, So now look at which part the 2nd FG is.

3. Now as we notice the G is in the Negative X, So that would be -X, But then when we look at the Y, It is in the positives!

Answer:

y = 2x + 1

Step-by-step explanation:

→ Find the gradient of this line

2

→ Write in standard format

y = 2x + c

→ Substitute in ( 0 , 1 )

1 = 0 + c ⇒ c = 1

Answer:

\(\frac{1}{3}\) , only one solution

Step-by-step explanation:

3x-1 = 1-3x

3x-1 = -3x+1

6x-1 = 1

6x = 2

x = \(\frac{1}{3}\)

only one solution

Lee's average speed in stage 3 of his journey is 83.33 km/h.

What is an average speed?

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Here, we have

Lee travels in stage 1 of his journey is

d = s × t

d = 30 × 3/4

d = 22.5km

Lee travels in stage 2 of his journey is

d = s × t

d = 50 ×2(48/60)

d = 140km

The average speed in stage 3 is

d = 200 - 140 - 22.5 = 37.5km

t = 4hr - 2hr48m - 45m = 27 min

s = 37.5 ÷ 0.45 = 83.33 km/h

Hence, Lee's average speed in stage 3 of his journey is 83.33 km/h.

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Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Answer:

A

Step-by-step explanation:

d1 = 5.9 km

d2 = 4.9 km

d_av = (5.9 + 4.9)/2 = 10.8/2 = 5.4 km I think that's A