Regression results on the cleaned data set Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 12.684 3.565 3.557 0.001 5.43 19.938 Internet access (%) 0.855 0.111 7.728 0.000 0.63 1.081 9. (2 marks) Use the regression equation to predict the Year 12 (%) completion of Indigenous Australians aged 20-24 with 32.1 Internet access (%): % (3dp) 10. (1 mark) With 95% confidence, we estimate from the data that, on average, for extra one per cent increase in the Internet access (%) is associated with a(n) → in the Year 12 (%) completion of Indigenous Australians aged 20-24. A. increase B. decrease C. stay the same % (3dp) (Hint: Upper Limit - 11. (2 marks) The width of the 95% confidence interval associated with an extra one per cent increase in the Internet access (%) is Lower Limit)

To find the total mass of the nails the carpenter bought, we can simply multiply the number of nails by the mass of each nail:

Total mass = 90 x 5.2 x 10^-4 kg/nail

Total mass = 0.0468 kg

Therefore, the total mass of the nails the carpenter bought is 0.0468 kg.

Answer:

Between-10 and -9

Step-by-step explanation:

Square root of 116 is 10.77. Since there’s a minuscule sign it’s -10.77

So it’s between -10 and -9

Answer:

11

Step-by-step explanation:

1. You could solve this as a way of just knowing that 6+11=17.

2. You could also solve this algebraically by subtracting 6 on both sides and getting y=11 because 17-6=11.

Answer:

y=11

Step-by-step explanation:

6+y=17

y=17-6

y=11

Step-by-step explanation:

Use law of sines.

16 / sin 39° = BC / sin 120°

BC ≈ 22.02

Greetings from Brasil...

Here we cant use calculator..... It seems that in the USA the use of a scientific calculator is allowed

Let's use Senos Law in Any Triangle

(AC/SEN B) = (BC/SEN A)

16/SEN 39 = BC/SEN 120     sen 120 = sen 60 = √3/2

16/0,63 = BC/(√3/2)

0,63BC = 16√3/2

BC = 8√3/0,63

Answer:

$16

Step-by-step explanation:

Cents ÷ 100 = Dollars

1600 ÷ 100 = 16

1600¢ = $16

1600 cents = 16 dollars

Hope this helps.

Among the given functions, function II (f(x) = x² + x - 1) is even, function III (f(x) = x / (x⁴ + 1)) is odd, and the remaining functions I, IV, and V are neither even nor odd.

To determine if a function is even or odd, we can analyze its symmetry properties.

A function is even if it satisfies f(-x) = f(x) for all x in its domain. This means that the function is symmetric about the y-axis.

A function is odd if it satisfies f(-x) = -f(x) for all x in its domain. This means that the function is symmetric about the origin.

Let's analyze each function:

I. f(x) = x² - 2x³

To check for evenness or oddness, we substitute -x for x in the function:

f(-x) = (-x)² - 2(-x)³ = x² + 2x³

Since f(-x) ≠ f(x) and f(-x) ≠ -f(x), function I is neither even nor odd.

II. f(x) = x² + x - 1

To check for evenness or oddness, we substitute -x for x in the function:

f(-x) = (-x)² + (-x) - 1 = x² - x - 1

Since f(-x) = f(x), function II is even.

III. f(x) = x / (x⁴ + 1)

To check for evenness or oddness, we substitute -x for x in the function:

f(-x) = (-x) / ((-x)⁴ + 1) = -x / (x⁴ + 1)

Since f(-x) = -f(x), function III is odd.

IV. f(x) = x² sin(x) - x cos(x²)

To check for evenness or oddness, we substitute -x for x in the function:

f(-x) = (-x)² sin(-x) - (-x) cos((-x)²) = x² sin(-x) - x cos(x²)

Since f(-x) ≠ f(x) and f(-x) ≠ -f(x), function IV is neither even nor odd.

V. f(x) = log((2-x²) / (2 + x)²) x cos(x²)

To check for evenness or oddness, we substitute -x for x in the function:

f(-x) = log((2-(-x)²) / (2 + (-x))²) (-x) cos((-x)²) = log((2-x²) / (2 + x)²) (-x) cos(x²)

Since f(-x) ≠ f(x) and f(-x) ≠ -f(x), function V is neither even nor odd.

In summary, function II is even, function III is odd, and functions I, IV, and V are neither even nor odd.

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Answer:3

Step-by-step explanation:tw

Answer:

(centre = (3, - 1 ) and radius = 7

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 6x + 2y - 39 = 0 ( collect x/ y terms and add 39 to both sides )

x² - 6x + y² + 2y = 39

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = 39 + 9 + 1

(x - 3)² + (y + 1)² = 49 ← in standard form

with centre (3, - 1 ) and r = \(\sqrt{49}\) = 7

Equivalent expressions are expressions that have the same value

The equivalent expression of \(63.56 (-81.47)\) is \(-63.56 \times 81.47\)

The expression is given as

\(63.56 (-81.47)\)

The bracket implies that, the factors of the expression are to be multiplied.

So, we have:

\(63.56 (-81.47) = 63.56 \times (-81.47)\)

Remove the bracket

\(63.56 (-81.47) = 63.56 \times -81.47\)

Change the position of the subtraction sign

\(63.56 (-81.47) = -63.56 \times 81.47\)

Hence, the equivalent expression of \(63.56 (-81.47)\) is \(-63.56 \times 81.47\)

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The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Answer:

B.)18

Step-by-step explanation:

25+17=42

|37-13|=|24|

42-|24|=18

Answer:

B

Step-by-step explanation:

u do da parenthesis first

Answer:

L = 36  and  w = 14

Step-by-step explanation:

50 - L = (1/2)L - 4

⇔ 50 + 4 = (1/2)L + L

⇔  54 = (3/2)L

⇔  2 × 54 = 3L

⇔  108 = 3L

⇔  3L = 108

⇔  L = 108/3

⇔  L = 36

Calculating the width ‘w’ :

w = (1/2)L - 4

Then

w = (1/2)(36) - 4

Then

w = 18 - 4

Then

w = 14

Answer:

x=20

Step-by-step explanation:

x - 5 = 15

x +5 = +5

x = 20

Answer:

20

Step-by-step explanation:

if u go on your calculator there is a math button click it and go to numrical equations and type it out the first block is the numbers and stuff in front of the equal sign and the second block is after it

Length of the rectangle is 41m, width of the rectangle is 41m and maximum area of the rectangle is 1681 \(m^{2}\).

Let l and w denote the length and width of the rectangle.

Its perimeter is 2(l + w) which is given 164.

∴ l + w = \(\frac{164}{2}\) = 82 ----------------  (1)

Now area A of the rectangle is given by

A = lw.

from equation (1),

A = l(82 - l)

A = 82l - \(l^{2}\)

⇒ A(l) = 82l - \(l^{2}\)--------------------- (2)

We are required to maximize A.

We know that, for Amax,

A'(l) = 0 and A''(l) < 0

equation (2)⇒

A'(l) = 0

82 - 2l = 0

         l = \(\frac{82}{2}\)

         l = 41.

Further, A''(l) = -2 < 0 ∀ l

Thus l = 41 gives Amax.

Hence the required dimension of the rectangle for maximum area are

l = 41 m

and w = 82 - l

          = 82 - 41

      w = 41 m

Therefore

A = lw = (41)(41)

A = 1681 \(m^{2}\)

Therefore the maximum area of rectangle is 1681 \(m^{2}\).

Given question is incomplete. Here I consider perimeter = 164m.

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We cannot calculate the quick ratio for 2017 as the given data does not contain the balance sheet for 2017. However, we can calculate the quick ratio for 2021 using the given information. The quick ratio for 2021 is 1.54.

Quick ratio is a liquidity ratio that calculates a firm's ability to pay off its current liabilities with quick assets. Quick assets are the liquid assets that can be easily converted into cash within 90 days.

Quick ratio formula:

Quick ratio = (Current assets - Inventories) / Current liabilities

In the given information, we have the following details for the year 2021: Current assets = Cash + Accounts receivable + Inventory = 280 + 940 + 1725 = $2945 million

Current liabilities = Accounts payable = $1435 million

Inventory = $1725 million

Therefore, Quick ratio = (2945 - 1725) / 1435= 1.54 Hence, the quick ratio for 2021 is 1.54.

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Answer:

A. y = -3/2x + 9

Step-by-step explanation:

In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.

Answer:

a

Step-by-step explanation:

any two points on the line are

(0,9 ) and (4,3)

slope=(3-9)/(4-0)=-6/4=-3/2

y intercept is 9

so eq. of line is y=-3/2x+9

To test the hypothesis of mean differences in artificially sweetened drink consumption among BMI groups, assuming a normal distribution, the researcher might use a one-way ANOVA.

The one-way ANOVA compares the means of three or more independent groups and determines if there are statistically significant differences among them. In this case, the BMI groups (normal weight, overweight, and obese) represent the independent groups, and the number of artificially sweetened drinks consumed is the dependent variable. By conducting a one-way ANOVA, the researcher can assess if there are significant differences in mean consumption among the BMI groups and draw conclusions regarding their hypothesis.

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Answer:

Hopes this helps not sure rlly

Step-by-step explanation:

3,277.32

3/5x2 5/6= 5/7

Step-by-step explanation:

i hope this helps

Answer:

See below

Step-by-step explanation:

Year Starting balance,$      prt, $                                      Interest,$

1          1400                        1400(1+0.06) = 1484.00           84

2          1484                       1484(1+0.06) = 1573.04            89.04

3          1573.04                  1573.04(1+0.06) = 1667.42       94.38

The volume of the parallelepiped is 299³ units.

So,

The volume of parallelopiped can be calculated using the steps below.

Now, the volume of parallelopiped is increasing:

\(v=\left|\begin{array}{lll}-5 & -5 & 1 \\-1 & 6 & 1 \\6 & 3 & 7\end{array}\right|\)

The matrix's determinant is:

⇒ -5(42 - 3) +5(-7 -6) +1(-3 - 36)

⇒ -5(39) +5(-13) +1(-39)

⇒ -195 -65 -39

⇒ |-299| = 299

Therefore, the volume of the parallelepiped is 299³ units.

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Answer:

(If compounded annually)

(first 5 years)

1 year = 48,000(1.031)¹ = £49,488.00

2 years = 48,000(1.031)² = £51,022.13

3 years = 48,000(1.031)³ = £52,603.81

4 years = 48,000(1.031)⁴ = £54,234.53

5 years = 48,000(1.031)⁵ = £55,915.80

Step-by-step explanation:

A = P(1 + r/n)^(nt)

money Kyle will have in his account in x years if compounded annually (once per year) per annum (every year) =

48,000(1 + 3.1%/1)^1x = 48,000(1.031)^x

Kyle can expect \(48000(1.031)^{n}\) in his account in n years after compounding.

The compound interest is the interest calculated on the aggregated interest and the principal amount. The formula to calculate the sum after compound interest is:

S=P\((1+r)^{n}\)

We have been given amount as 48000 pounds and the rate of compounding is 3.1%. We will apply the above formula to calculate the sum:

S=48000\((1+0.031)^{n}\)

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Answer:    B         √65

Step-by-step explanation:

The triangle on the right is a 3-4-5 right triangle.  Common triangle.  You can use Pythagorean to solve for the 4

To find x your triangle is 4-7-x

Use Pythagorean to solve for x(hypotenuse)

x²=4²+7²

x² = 16 +49

x² = 65           >take square root of both sides

x = √65          >this cannot be simplified any further

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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Answer:

20$

Step-by-step explanation:

50 - (2x - 10) = x

50 + 10 = x + 2x

60 = 3x

60/3 = x

20 = x

If the coordinates are rotated 90 degrees clockwise, the resulting expression will be;

B' = (0, -5)

K' = (-3, 0)

U' = (2, -2)

Y' = (-3, 4)

When a coordinate (x, y) is rotated 90 degrees clockwise around the origin is (-y, x)

Given the coordinates points

B = (5, 0)

K = (0, 3)

U = (2, -2)

Y = (4, 3)

If the coordinates are rotated 90 degrees clockwise, the resulting expression will be;

B' = (0, -5)

K' = (-3, 0)

U' = (2, -2)

Y' = (-3, 4)

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In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.

Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form

y (t) = C eᵏᵗ, where k is the rate constant.

Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.

1/y dy/dt = 1/y d(C eᵏᵗ)/dt

= 1/y(kC eᵏᵗ)

= 1/y ( ky) ( since, y (t) = C eᵏᵗ)

= k

Therefore a constant relative growth rate.

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Complete question:

In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.

A. The relative growth rate at time t is the slope of the exponential function at time t.

B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt

C. The relative growth rate is proportional to the size of the population

D. The relative growth rate is constant.

The expected frequency Ei is found to be 22.

Expected frequency, denoted by Ei, is the average number of times an event is expected to occur in repeated trials.

It is calculated as the product of the total number of trials and the probability of occurrence of an event. When given the values of N and Pi, we can find the expected frequency by using the formula:

Ei = N x Pi

Therefore, when N = 110 and Pi = 0.2, we have:Ei = 110 x 0.2Ei = 22

Hence, the expected frequency Ei is 22.

In statistics, expected frequency (Ei) is the average number of times that an event is anticipated to happen under a certain set of conditions.

The calculation of expected frequency takes into account the number of trials and the probability of occurrence of a given event.

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