A computer rando...Student Dashboard...002 > Modules > Hawkes > Hawkes Single Sign OnMCSave & Exit Certify Lesson: 9.4 Parametric Equations

Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

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The margin of error for 16 eggs with sample means 2 ounce and standard deviation as 42 ounces is   18.407   .

In the question ,

it is given that ,

the number of eggs = 16

the sample means weight is = 2 ounce .

the standard deviation is = 42 ounces .

we have to find the margin of error .

degree of freedom is 16 - 1 = 15 .

and the t score for the 90% confidence interval is

t₁₅,₀.₀₅ = 1.753

So , the margin of error is =  t₁₅,₀.₀₅×(standard deviation/√n)

Substituting the values ,

we get ,

= 1.753×(42/√16)

On simplifying further ,

we get ,

= 18.407

Therefore , the margin of error is = 18.407 .

The given question is incomplete , the complete question is

A sample of 16 eggs yields a sample mean weight of 2.00 ounces and a sample standard deviation = 42.0 ounces, find the margin of error in estimating a confidence interval estimate at the 90% level of confidence. Round your answer to three decimal places. You may assume that egg weights are normally distributed .

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Answer:

1.45 x 10 exponent 1

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

2/3x - 3/2x = 2

-2/3 × 3/2x = 2

-1/3 × 3x = 2

-x = 2

x = -1 × 2

x = -2

Answer:

x = - \(\frac{12}{5}\)

Step-by-step explanation:

\(\frac{2}{3}\) x - \(\frac{3}{2}\) x = 2

Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

4x - 9x = 12

- 5x = 12 ( divide both sides by - 5 )

x = - \(\frac{12}{5}\)

The inequality is solved to x < -5/4

An inequality can be defined as a mathematical relation that makes a non-equal comparison between two numbers, mathematical expressions or equations.

Inequalities are used  to compare two numbers on the number line on the basis of  their size.

The different inequality signs are;

From the information given, we have that;

|x| < 3x - 5

Note that the signs, "| |" represents modulus which explains that the number must be a positive number.

collect like terms

x -3x< 5

substract the like terms

-4x< 5

Make 'x' the subject

x < -5/4

Hence, the value is x < -5/4

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The complete solution is:

solve the inequality |x| < 3x - 5

The exponential function giving the number of bacteria after x hours is given as follows:

\(y = 250(2)^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

a = 250, b = 2.

Hence the function is given as follows:

\(y = 250(2)^x\)

The problem asks for the exponential function giving the number of bacteria after x hours is given as follows:

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x² + 5x - 6 can be expressed as (x + 6)(x - 1).

Answer:

(x+6)(x-1)

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

cos θ = cos A = Adjacent/Hypotenuse

Tan θ = tan A = Opposite/Adjacent

Note: The values in decimal are rounded to nearest hundredth.

Answer: T-R

Step-by-step explanation:

Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)

Answer:

hello some parts of your question is missing attached below is the missing part

"Class A" Class B Class C

  111  120  107

 75   96    93

 109  112  89

 101   89    117

 102  103  82

  81   112   64

  103  98  107

  87   101  101

  88  82   114

answer :  a) Test statistic  = 0.46

                b) p-value = 0.64

Step-by-step explanation:

A) To calculate the Test statistic ; use excel software

steps involved :

i) import Data, ii) choose Anova; single factor

iii) choose input range and column in groups iv) choose output range

attached below is the table

b ) calculate the P -value

P-value = 0.64

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:

what we have to find or to prove.

Answer:

60+160

Step-by-step e

Answer:

60+160 or 220

Step-by-step explanation:

20(3+8)

multiple 20 by 3 and 8

60+160

add 60 and 160 which is 220

Answer:

x = 11

Step-by-step explanation:

4x - 7 = 37

Take 7 to the right side.

4x = 37 + 7

4x = 44

Divide both sides by 4.

x = 11

Given: The time different students ran in a race as a team

To Determine:

a) Cindy's time if the total time is 11 3/5 minutes

This means that the addition of all their time gives 11 3/5 minutes. Therefore

2) The difference between the fastest student and the slowest student

It can be observed that the fastest students is Cindy and the slowest student is Nicole

Therefore, the difference would be

3)

Since the girls's time is less than the record time, it can be concluded that the girls' did not break the record

The difference is

Summary

1) x = 3 2/5 minutes

2) The difference between the fastest student and slowest student is 1 3/10 minutes

3) The girls' did NOT break the record, they were 4/5 minutes slower

Answer:

a) The length of the building that should border the dog run to give the maximum area = 25feet

b)    The maximum area of the dog run  = 1250 s q feet²

Step-by-step explanation:

Step(i):-

Given function

                       A(x) = x (100-2x)

                      A (x) = 100x - 2x²...(i)

Differentiating equation (i) with respective to 'x'

             \(\frac{dA}{dx} = 100 (1) - 2 (2x)\)

     ⇒    \(\frac{dA}{dx} = 100 - 4 x\)      ...(ii)

Equating  zero

         ⇒ 100 - 4x =0

         ⇒  100 = 4x

Dividing '4' on both sides , we get

             x = 25

Step(ii):-

Again differentiating equation (ii) with respective to 'x' , we get

    \(\frac{d^{2} A}{dx^{2} } = -4 (1) < 0\)

Therefore The maximum value at x = 25

The length of the building that should border the dog run to give the maximum area = 25

Step(iii)

  Given  A (x) = x ( 100 -2 x)

substitute  'x' = 25 feet

             A(x) = 25 ( 100 - 2(25))

                    = 25(50)

                   = 1250

Conclusion:-

   The maximum area of the dog run  = 12 50  s q feet²

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The perimeter of the figure is 58 m.

To find the perimeter of the given figure we can divide the figure in three rectangles.

Rectangle 1:

Perimeter= 2 (l + w)

= 2(5 + 2)

= 2 x 7

= 14 m

Rectangle 2:

Perimeter= 2 (l + w)

= 2(5 + 1)

= 2 x 6

= 12 m

Rectangle 3:

Perimeter= 2 (l + w)

= 2(14 + 2)

= 2 x 16

= 32 m

So, the perimeter of the figure is

= 14 + 12 + 32

= 58 m

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Answer:

Step-by-step explanation:

Answer:

---------------

Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

Answer:

1, 2, 3, 6

Step-by-step explanation:

Factors are numbers that divide evenly into another number.

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

V= πr2h = π·182·3≈ 3053ft³

V = 3053ft³

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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The coordinates of the midpoints of the given line segment is:

(3.5, 1.5)

The midpoint of a line segment is simply referred to as the center of that specific line segment.

Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.

The coordinates of the endpoints of the line are:

(4,6) and (3,-3)

The formula to find the coordinates of the midpoint of the line is:

(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Thus, we have:

(x, y) = (4 + 3)/2, (6 - 3)/2

= (3.5, 1.5)

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The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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The p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis. There is insufficient evidence to support the claim p-value greater than the significance level 0.05.

Consider the above given that

⇒\(& \alpha=0.05 \quad \mathrm{n}=34 \mathrm{~s}^2=0.0005 \\\)

⇒\(H_{0} : \sigma^2 \leq 0.0004 \\\)

⇒\(H_{a} : \sigma^2 > 0.0004\)

The null and alternative hypothesis test statistic:

⇒\(& \mathrm{x}^2=\left(\frac{\mathrm{n}-1}{\sigma^2}\right) \mathrm{s}^2 \\\)

\(& =\left(\frac{34-1}{0.0004}\right) 0.0005 \\\)

⇒\(& \mathrm{x}^2=\left(\frac{33}{0.004}\right) \times 0.0005 \\\)

\(& =82,500 \times 0.0005 \\\)

⇒\(& \mathrm{x}^2=41.25\)

⇒\(h_{0} : $\sigma^2$ is that or equal to $0.0004$\)

⇒\(h_{a} : $\sigma^2$ is greater that $0.0004$\)

⇒p value=p(z>41.25)

⇒p value=0.1533

By using P Value from Chi-Square Calculator

⇒p value=0.1533

⇒P value >0.05

Fail to reject the null hypothesis.

Therefore, the p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis.

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The competitive advantage of some small Americans factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. suppose the sample variance for 34 parts turns out to be \(s^{2}=0.0005\) . use \(\alpha=0.05\) , to test whether population variance specification is violated.

\(H_{0} \\H_{a}\)

Test statistic:

The p-value is-------.

Answer:

Part A:

The probability of hitting the black circle is the ratio between the area of the black circle and the white square (including the black circle)

Area of circle:

Ac = pi x r^2 = pi x (2/2)^2 = pi (diameter = 2)

Area of square:

As = side^2 = 11^2 = 121 (side = 11)

=> P = pi/121 = ~0.025 (P = 0.025 < 0.5 => P is closer to 0 than 1)

Part B:

The probability of hitting the white portion could be calculated in a similar way as shown in part A. However, the event of hitting the white portion is the complement event of the event of hitting the black circle.

Because P(event) + P(complement of event) = 1

=> P = 1 - 0.025 = 0. 975 (P = 0.975 > 0.5 => P is closer to 1 than 0)

In this situation, The number of lionfish every year grows by 69%. This means that to the number of lionfish in a year, we need to add the 69% to get the number of fish in the next year.

This is a geometric sequence because the next term of the sequence is obtained by multiplying the previous term by a number.

The explicit formula for a geometric sequence is:

We know that a₁ = 9000 (the number of fish after 1 year)

And the growth rate is 69%, to get the number of lionfish in the next year, we need to multiply by the rate og growth (in decimal) and add to the number of fish. First, let's find the growth rate in decimal, we need to divide by 100:

Then, if a₁ is the number of lionfish in the year 1, to find the number in the next year:

We can rewrite:

With this, we have found the number r = 1.69. And now we can write the equation asked in A:

The answer to A is:

Now, to solve B, we need to find the number of lionfish in the bay after 6 years. Then, we can use the equation of item A and evaluate for n = 6:

To the nearest whole, the number of lionfish after 6 years is 124,072.

For part C, we need to use the recursive form of a geometric sequence:

We know that the first term of the sequence is 9000. After the first year, the scientists remove 1400 lionfish. We can write this as:

Because to the number of lionfish in the previous year, we need to subtract the 1400 fish removed by the scientists.

The answer to B is: