Which of the following 95% confidence intervals would lead us to reject Hp =0.30 in favor of
Hp *0.30 at the 5% significance level?
(a) (0.30, 0.38)
(b) (0.19, 0.27)
(c) (0.27, 0.31)
(d) (0.24, 0.30)
(e) None of these

Answer:

7/50 is the correct answer

Step-by-step explanation:

First you would need to convert this to an improper fraction which it would be 0+14/100.

Then you would add 0 and 14/100 to get the same answer 14/100

After this you would factor out the 14 and 100

Finally you should get

2(7)/ 2(50)

Now you should be able to cancel out the 2 and be left with 7/50.

Hope this helps!!!

The given homogeneous system of equations can be represented as a matrix equation Ax = 0, where A is the coefficient matrix and x is the vector of variables.

To find the solution set in parametric vector form, we can perform row operations on the augmented matrix [A|0] and express the variables in terms of free parameters.

The augmented matrix for the given system is:

[3 3 6 | 0]

[-9 -9 -18 | 0]

[0 -7 -7 | 0]

Using row operations, we can transform this matrix to row-echelon form:

[3 3 6 | 0]

[0 -6 -12 | 0]

[0 0 -7 | 0]

Now, we can express the variables in terms of free parameters. Let x2 = t and x3 = s, where t and s are arbitrary parameters. Solving for x1 in the first row, we get x1 = -2t - 2s.

Therefore, the solution set in parametric vector form is:

x = [-2t - 2s, t, s], where t and s are arbitrary parameters.

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M = (7,6)

Step-by-step explanation:

formula to find mindpoint is

\((\frac{x2 + x1}{2} \frac{y2 + y1}{2} )\)

(4,2) = (x1, y1)

(10,10) = (x2,y2)

now substitute those into the formula!

\(\frac{10 + 4}{2} \frac{10 + 2}{2} \)

now solve for x & y !!

\(x = \frac{10 + 4}{2} = \frac{14}{2} = 7\)

\(y = \frac{10 + 2}{2} = \frac{12}{2} = 6\)

so now that we have solved for x & y put it in point form and your done !!

point for is (x,y)

and thanks why the Midpoint is (7,6)

Answer:

3

Step-by-step explanation:

3 and 1/8 is rounded down to 3

For a binomial experiment with 11 trials and a success probability of 0.2, the probability of exactly 5 successes (p5) can be calculated using the binomial probability formula. The mean is 2.2, the variance is 1.76, and the standard deviation is approximately 1.33. These measures provide information about the central tendency and spread of the binomial distribution.

In a binomial experiment, each trial can have two outcomes: success or failure. The probability of success is denoted by p, and the probability of failure is equal to 1 - p. The binomial probability formula is used to calculate the probability of a specific number of successes in a given number of trials.

In this case, the number of trials is 11, and the success probability is 0.2. To find the probability of exactly 5 successes (p5), we use the binomial probability formula: \(p5 = (11 choose 5) * (0.2)^5 * (0.8)^{(11-5)\). The "11 choose 5" term represents the number of ways to choose 5 successes out of 11 trials.

The mean of a binomial distribution is given by the product of the number of trials (n) and the success probability (p). Thus, the mean for this experiment is 11 * 0.2 = 2.2. This means that, on average, we expect to see 2.2 successes per 11 trials.

The variance of a binomial distribution is calculated using the formula: variance = n * p * (1 - p). For this experiment, the variance is 11 * 0.2 * (1 - 0.2) = 1.76. The variance measures the spread or dispersion of the distribution.

The standard deviation is the square root of the variance. In this case, the standard deviation is sqrt(1.76) ≈ 1.33. The standard deviation provides a measure of how much the observed values deviate from the mean.

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Answer:

3/10 pounds

Step-by-step explanation:

Distribute 3 pounds equally into 10 containers so it is 3/10 pounds in each container.

The factorization of the expression 4x^2 + 4x + 1 is (2x + 1)(2x + 1), which corresponds to option (a).

To factorize the quadratic expression 4x^2 + 4x + 1, we need to determine two binomial factors that, when multiplied together, give the original expression.

One approach is to look for two binomials in the form (px + q)(rx + s), where p, q, r, and s are constants. In this case, we want the first and last terms of the expression to be the product of the outer and inner terms of the binomial factors.

By trial and error or using methods like factoring by grouping or the quadratic formula, we find that (2x + 1)(2x + 1) satisfies these conditions. When we multiply these binomials together, we obtain 4x^2 + 4x + 1, which matches the original expression.

Therefore, the factorization of 4x^2 + 4x + 1 is (2x + 1)(2x + 1), corresponding to option (a). The other options do not correctly represent the factorization of the given expression.

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Answer:

x

2

+

7

x

−

4

=

0

Add  

4

to both sides of the equation.

x

2

+

7

x

=

4

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

b

.

(

b

2

)

2

=

(

7

2

)

2

Add the term to each side of the equation.

x

2

+

7

x

+

(

7

2

)

2

=

4

+

(

7

2

)

2

Simplify the equation.

Tap for more steps...

x

2

+

7

x

+

49

4

=

65

4

Factor the perfect trinomial square into  

(

x

+

7

2

)

2

.

(

x

+

7

2

)

2

=

65

4

Solve the equation for  

x

.

Tap for more steps...

x

=

±

√

65

2

−

7

2

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

65

2

−

7

2

Decimal Form:

x

=

0.53112887

−

7.53112887

Step-by-step explanation:

Answer: x= -1 ±√113/14

Evaluating the integral-  \(\int_0^1 (u+2)(u-3) du\) we get the simplified answer = -37/6.

Let's evaluate the integral as follows -

\(\int_0^1 (u+2)(u-3) du\)

now lets multiply the expression and we will get,  

\(= \int_0^1 u^2-u-6 d u\)

Distributing the integrals to each expression.

\(= \int_0^1 u^2 d u+\int_0^1-u d u+\int_0^1-6 d u\)

By the Power Rule, the integral of \($u^2$\) with respect to u is  \($\frac{1}{3} u^3$\).

\(= \left.\frac{1}{3} u^3\right]_0^1+\int_0^1-u d u+\int_0^1-6 d u\)

Since -1 is constant w.r.t u, move -1 out of the integral of the second term.

\(= \left.\frac{1}{3} u^3\right]_0^1 -\int_0^1u d u+\int_0^1-6 d u\)

By using the power rule, the integral of \($u^2$\) w.r.t to u is \($\frac{1}{2} u^2$\)

\(= \left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{1}{2} u^2\right]_0^1\right)+\int_0^1-6 d u\)

Let's Combine \($\frac{1}{2}$\) and \($u^2$\).

\(= $$\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+\int_0^1-6 d u$$\)

Now, apply the constant rule,

\(= $$\left.\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+-6 u\right]_0^1$$\)

Substituting the limits and simplifying we get,

= -37/6

Hence, the simplified answer for the given integral \(\int_0^1 (u+2)(u-3) du\) is -37/6.

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The complete question is-

Evaluate the integral-  \(\int_0^1 (u+2)(u-3) du\).

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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The graph of the quadratic function x²+4x=-2x+16 is a parabola that crosses the x-axis at x=-8 and x=2. Correct option is (a).

Let ax² +bx +c = 0 is an quadratic equation its zeroes are the values of x for which the Left hand side becomes zero.

To find zeroes we can use quadratic formula that is

x = (-b ±√(b²-4ac))/2

Graph of the quadratic equation are points ( x , y(x) )

where y(x) =  ax² +bx +c

when x= t is zero of quadratic equation ax² +bx +c = 0

then y(t) = 0

(t, 0) points are points on the x-axis.

Given an quadratic equation

x²+4x=-2x+16 has roots x =-8 and x =2

This can we written as  x² +6x -16 =0

The graph of  this quadratic equation is given by (x, y(x))

where y = x² +6x -16 which is a parabola

for x= -8 and x= 2 , y(-8) =y(2) = 0

Then (-8,0)  and (2,0) are points on this parabola which are at x-axis

Therefore, the parabola y = x² +6x -16  crosses the x-axis at x=-8 and x=2.Thus (a) is the correct option.

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The required orders are Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.

An equation that holds true for one or more values of the variable but holds false for other values of the variable is known as a conditional equation. In Hannah's example, the equation holds true for the value of x equal to 10, but not for other values, such as 1. The equation is a conditional equation as a result.

Let we consider the number of orders Kara served as x.

Then, Harry served x + 10 orders and Erin served 4x orders.

The total number of orders they served is x + x + 10 + 4x = 86 orders.

So, 6x + 10 = 86

6x = 76

x = 12.5

Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.

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Answer:

Step-by-step explanation:

Let the orders served by Kira be k.

Orders served by Henry= 10 less than Kira

                                       = k-10

Orders served by Erin= 4 times of Kira

                                   = 4k

Total orders served= 86

     Kira+Henry+Erin= 86

               k+k-10+4k= 86

                       6k-10= 86

                            6k= 86+10

                            6k= 96

                              k= 96/6

                              k= 16

Kira= k= 16

Henry= k-10= 16-10= 6

Erin= 4k= 4x16= 64

∴ Kira served 16 orders, Henry served 6 orders & Erin served 64 orders

Answer:

The polygon has 13 sides.

Step-by-step explanation:

The sum of the interior angles of a polygon is (n - 2) * 180, where n is the number of sides. This formula can be set equal to the sum of the interior angles to determine how many sides it has.

(n - 2) * 180 = 1980

180n - 360 = 1980

180n = 2340

n = 13

Answer: Accounting profit=$90,000 and Economic profit loss= $28,500

Step-by-step explanation:

Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000

Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500

The height the anchor begins to drop is 17.5 m

Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.

Let

The total height the anchor drops is thus H = h + h'

Now, the total height the anchor drops H = vt where

So, equating both equations, we have

vt = h + h'

Making h subject of the formula, we have that

h = vt - h'

Given that

Substituting the values of the variables into the equation, we have that

h = vt - h'

h = 3.5 m/s × 20 s - 52.5 m

h = 70 m - 52.5 m

h = 17.5 m

So, the anchor drops 17.5 m

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Answer:38x-34

Step-by-step explanation:

f(x)=x^2+3x-7

g(x)=5x-3

We multiply the entire F equation times two, (x^2+3x-7)*4=

(4x^2+12x-28)

Now the entire g equation by 2, (5x-3)*2

(10x-6)

Now we add both equation

(4x^2+12x-28)+(10x-6)

(4x^2+22x-34)

(4x*4x+22x-34)

(16x+22x-34)

38x-34

Hopefully this is correct :)))

Answer:3 4/5

Step-by-step explanation:

Answer:

3 4/5

Step-by-step explanation:

there are 32 fluid ounces. (8 fluid ounces per cup.)

The fluid ounce was originally the volume that one ounce of a material occupied, such as water or wine (in England) (in Scotland). The ounce in question also differed according on the fluid measurement method being employed, such as wine vs ale. Although it is occasionally referred to as simply "one ounce" when the context makes the meaning apparent, the fluid ounce differs from the (international avoirdupois) ounce as a measure of weight or mass (e.g., "ounces in a bottle"). One imperial fluid ounce of pure water has a mass of approximately precisely one ounce.

1 cup has 8 fluid ounces

so , 4 cups of milk = 8 x 4 =32 fluid ounces.

so ,32 fluid ounces. (8 fluid ounces per cup.)

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The probability that a randomly chosen value from this normal population will be greater than 57 is approximately 0.0297, or 2.97%.

To find the probability that a randomly chosen value will be greater than 57 from a normal population with a mean (μ) of 40 and a standard deviation (σ) of 9, you will need to follow these steps:

1. Calculate the z-score:

The z-score represents the number of standard deviations a value is away from the mean.

To calculate the z-score, use the formula:

z = (X - μ) / σ, where X is the value in question (57 in this case).

2. In this case, z = (57 - 40) / 9 = 17 / 9 ≈ 1.89.

3. Look up the z-score in a standard normal distribution table (or use a calculator or software) to find the probability of obtaining a z-score less than 1.89.

The table value for a z-score of 1.89 is approximately 0.9703.

4. Since we want the probability that the value is greater than 57, we need to find the probability of obtaining a z-score greater than 1.89.

To do this, subtract the table value from 1:

1 - 0.9703 = 0.0297.

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Answer:

94884959969449i9959595959595

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:

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

Using the points (0,2) and (3,4), we have:

slope = (4 - 2) / (3 - 0)

= 2 / 3

Therefore, the slope of the line passing through (0,2) and (3,4) is 2/3.

Answer:

a

Step-by-step explanation:

PLEASE HELP 15 points

Answer:

3240°

Step-by-step explanation:

The equation to find the sum of the measures of the interior angles of a figure is:

(n-2)*180

Where n represents the amount of sides the figure has. In this case the figure has 20 sides so its interior angles sum up to:

(20-2)*180=18*180=3240°

Answer:

6√(6) is the answer of your question

Answer:

  (a)  x^2 +4x +3

Step-by-step explanation:

The attachment shows the synthetic division. The quotient is ...

  x^2 +4x +3

_____

Additional comment

Please make sure your math posts include all necessary math symbols and formatting. Some Brainly input methods seem to drop + signs and/or make spacing adjustments that render questions indecipherable. It is helpful if you separate answer choices with punctuation, letter designators, and/or spacing (one per line, for example).

Answer:a

Step-by-step explanation:

Answer:4.62x10^13

Step-by-step explanation:

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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