find parametric equations for the line. (use the parameter t.) the line through (3, 3, 0) and perpendicular to both i j and j k

a. Decision rule: Reject the null hypothesis if the calculated z-value is less than or equal to -1.28. b. Calculated z-value: -1.8892. c. Conclusion: Reject the null hypothesis, indicating evidence that the population mean is less than 128.

To complete parts (a) through (c), we need to perform a hypothesis test for the given hypotheses

H0: μ = 128 (null hypothesis)

HA: μ ≤ 128 (alternative hypothesis)

Given: X= 119 (sample mean)

σ = 27 (population standard deviation)

n = 46 (sample size)

α = 0.10 (significance level)

a. The decision rule is to reject the null hypothesis if the calculated value of the test statistic is less than or equal to the critical value(s) of the test statistic. Since the alternative hypothesis is one-sided (μ ≤ 128), we will use a one-sample z-test and compare the calculated z-value with the critical z-value.

To find the critical z-value, we need to determine the z-value corresponding to the significance level α = 0.10. Looking up the critical value in the standard normal distribution table, we find that the critical z-value is -1.28 (rounded to two decimal places).

b. The calculated value of the test statistic, in this case, is the z-value. We can calculate the z-value using the formula

z = (X - μ) / (σ / √n)

Substituting the given values:

z = (119 - 128) / (27 / √46) ≈ -1.8892 (rounded to two decimal places)

c. The conclusion is based on comparing the calculated value of the test statistic with the critical value. Since the calculated z-value of -1.8892 is less than the critical z-value of -1.28, we have enough evidence to reject the null hypothesis. Therefore, we conclude that the population mean is less than 128.

The conclusion statement in part (c) is inconsistent with the given alternative hypothesis and should be revised accordingly.

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The lateral area of the square pyramid in this problem is given as follows:

672 ft².

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

Considering a right triangle with sides of 14/2 = 7 ft and h ft, and hypotenuse of 25 ft, applying the Pythagorean Theorem, the height of each lateral face is given as follows:

h² + 7² = 25²

\(h = \sqrt{25^2 - 7^2}\)

h = 24.

The lateral area of the pyramid is composed by four triangles of base 14 ft and height 24 ft, hence it is given as follows:

LSA = 4 x 1/2 x 14 x 24

LSA = 672 ft².

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Area = 19.63cm²

A=πr2=π·2.52≈19.63495cm²

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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Answer:

Question 11.1

At 7 : 00 pm in Sydney, it will be 10 : 00 pm in Berlin.

Question 11.2

Place | Time

Sydney | 5 : 00 pm

Berlin | 8 : 00 pm

It would be a good time for Mark and Hans to cha,t when it's 5 : 00 pm in Sydney and 8 : 00 pm in Berlin.

hope that helps ...

Answer:

nonliner and linear c.

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkk

Point estimators have their drawbacks, such as virtually certain error, lack of capacity to reflect larger sample sizes, and inability to infer population data.

Point estimators are useful for obtaining a single value that estimates a population parameter. However, these estimators are not always accurate as it is virtually certain that the estimate will be wrong. Additionally, point estimators are not able to reflect the effects of larger sample sizes, which means that drawing inferences about a population from a larger sample is not possible. Therefore, when using point estimators, it is important to keep in mind their limitations and use other estimation methods to achieve more accurate results.

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Answer:

f(x) = -x + 1

0 = -x + 1

x = 1

Step-by-step explanation:

You put 0 in place of f(x).

Answer:

To find the vertex of the quadratic function y = -2x² - 4x - 5, we can use the formula:

x = -b/2a

where a = -2 and b = -4 are the coefficients of the quadratic term and the linear term, respectively.

x = -(-4)/(2*(-2)) = -(-4)/(-4) = 1

To find the y-coordinate of the vertex, we substitute x = 1 in the function:

y = -2(1)² - 4(1) - 5 = -2 - 4 - 5 = -11

Therefore, the vertex of the quadratic function is (1, -11).

Answer:

(-1, -3)

Step-by-step explanation:

Answer:

(3x-7) (x-7)

Step-by-step explanation:

Answer:

(3x-7) (x-7)

PLEASE MARK BRAINLIEST

Step-by-step explanation:

32−28+49

32−7−21+49

-----

32−7−21+49

(3−7)−7(3−7)

---->(3x-7) (x-7)

The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.

What kind of probability is founded on the observed data?

What three forms of probability are there?

Three main categories of probability exist:

Probability in theory. Scientific Probability. Probability axiomatically.

Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.

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Answer:

may be 5 unit is the distance is between then

Answer:

5 units

Step-by-step explanation:

use distance formula kid

After solving the equations it will the infinite solutions, then it is a consistent system.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The equations are,

y = -x + 1  (i) and,

2y = -2x + 2  (ii)

Divide equation (ii) by 2

y = -x + 1 (iii)

Solve equation (i) and (iii)

The value of x and y will be 0 which means that it has infinite solution, then it is a consistent system.

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The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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The surface area of the rectangular prism with the given dimensions is 540yd².

To find the surface area (sa) of the rectangular prism with the given dimensions, we need to calculate the area of each face and add them together.

The formula for the area of a rectangle is length multiplied by width (A = l x w).

Face 1 has a length of 5yd and a width of 37yd, so its area is 5 x 37 = 185yd².
Face 2 has a length of 5yd and a width of 20yd, so its area is 5 x 20 = 100yd².
Face 3 has a length of 5yd and a width of 51yd, so its area is 5 x 51 = 255yd².

To find the total surface area, we add the areas of all three faces:

sa = area of face 1 + area of face 2 + area of face 3
sa = 185yd² + 100yd² + 255yd²
sa = 540yd²

Therefore, the numerical value of the surface area of the rectangular prism with the given dimensions is 540yd².

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Answer:

-9/4 or -2.25

Step-by-step explanation:

−2(x+1/4)+1=5 ​ ​

-2x - 0.5 + 1 = 5

-2x + 0.5 = 5

-2x = 4.5

x = -2.25

Fraction form: -9/4

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

Given that,

The equations,

D=1-x² and C = -1-3x²+4x

We have to find the expression 3D-3C in standard form.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

We get,

3D-3C

3(1-x²)-3(-1-3x²+4x)

3-3x²+3+9x²-12x

6+6x²-12x

6x²-12x+6

Therefore, The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

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no clue

Step-by-step explanation:

...................

The amount of liters that is equivalent to 12 quarts is 11.37.

The unit of measurement is a term that make us to understand which of the  quantities that have been measured. Examples are kilogramms, meters, Coulomb's, Liters etc.

In the given question, we have;

1 quart = 0.25 gallon

12 quart = x

So that;

x = 12 * 0.25

  = 3

x = 3 gallons

Then,

1 gallon = 3.79 liters

3 gallons = y

y = 3*3.79 liters

  = 11.37

y = 11.37 liters

The amount of liters that is equivalent to 12 quarts is 11.37.

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Answer:

After 2 1/3 hours.

Step-by-step explanation:

For this you have to calculate how much hours is 1/3 of 7 hours. The word 'of' implies a multiplication function.

1/3 * 7 = 7/3 = 2 1/3

The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

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Answer:

that would be -11

Step-by-step explanation:

it is asking for the absolute value of -7-4 however absolute value is always positive once you solve that you have a negative symbol on the outside that turns ur answer negative

Answer:

- 3

Step-by-step explanation:

- | -7+4|

Determine inside the absolute value first

-7+4 = -3

Replace inside the absolute value

- |-3|

The absolute value means take the non negative value

|-3| =3

- 3

y(x) = (1/6)x^2 - (8/9)x - 127/18.

Find the function of y(x) ?

To find the function y(x) that satisfies the given differential equation and initial condition, we can integrate the equation with respect to x.

Starting with the given differential equation:

dy/dx = (3x - 8)/9

We integrate both sides with respect to x:

∫dy = ∫(3x - 8)/9 dx

Integrating, we get:

y = ∫(3x - 8)/9 dx

Now, let's integrate each term separately:

y = (1/9) ∫(3x - 8) dx

= (1/9) [(3/2)x^2 - 8x] + C

Where C is the constant of integration.

To find the value of C, we can use the initial condition y(-1) = -6. Plugging in x = -1 and y = -6 into the equation, we have:

-6 = (1/9) [(3/2)(-1)^2 - 8(-1)] + C

-6 = (1/9) [(3/2) + 8] + C

-6 = (1/9) [3/2 + 16/2] + C

-6 = (1/9) (19/2) + C

-6 = 19/18 + C

To isolate C, we can subtract 19/18 from both sides:

C = -6 - 19/18

C = -108/18 - 19/18

C = -127/18

Now we substitute the value of C back into the equation:

y = (1/9) [(3/2)x^2 - 8x] - 127/18

Simplifying further, we have:

y = (1/6)x^2 - (8/9)x - 127/18

Therefore, the function y(x) that satisfies the given differential equation dy/dx = (3x - 8)/9 and the initial condition y(-1) = -6 is:

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Answer:

80

2 40

2 2 20

2 2 2 2 10

2 2 2 2 2 5,

2^5*5

Brainliest please

Answer:

4 ⅓

Step-by-step explanation:

10 - 5 ⅔

10 - 5 × 3 + 2/3

10 - 17/3

3 × 10 - 17/3

30 - 17/3

13/3 = 4 ⅓

-TheUnknownScientist

A line plot is a type of graph that displays data points as dots or markers connected by straight lines. The resultant line plot is given below.

A line plot, also known as a dot plot, is a simple way to display data that consists of a number of discrete points. It is a one-dimensional graph that uses dots or Xs to represent individual data points. Each dot or X represents a single data point, and the number of dots or X's at a given location on the line represents the frequency or count of that data point.

Here we have

Andy collects rocks and the lengths of the rocks  

Rock                 1            2        3       4        5         6

length (in) 2 7/8, 3 1/2, 2 7/8, 2 1/8, 2 1/8, 2 4/8  

For simple calculations convert the given fractions into Improper fractions  and then into decimal numbers

2 7/8 = 23/8 = 2.875    

3 1/2 = 7/8 = 0.875

2 7/8 = 23/8 = 2.875

2 1/8 = 17/8 = 2.125

2 1/8 = 17/8 = 2.125

2 4/8 = 20/8 = 2.5

Now use the coordinates (1, 2.875) (2, 0.875) (3, 2.875) (4, 2.125) (5, 2.125) and (6, 2.5) to plot the line

Therefore,

A line plot is a type of graph that displays data points as dots or markers connected by straight lines. The resultant line plot is given below.

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Answer:See below and attached

Step-by-step explanation:

Given numbers

4.2×10^-6, 2.1×10^-3, 3.1×10^-2, 3.2×10^-5, 3.5×10^-4, 5.8×10^-3, 5.2×10^-4

Greater than 3.1×10^-3

3.1×10^-2, 5.8×10^-3

Between 3.1 × 10^-3  and 4.3 × 10^-5

2.1×10 ^-3, 3.5×10^-4, 5.2×10^-4

Less than 4.3 × 10^-5

4.2×10^-6, 3.2×10^-5

Step-by-step explanation

: