Please hurry! Which set of numbers are rational numbers but not integers, whole numbers, or natural numbers?

Answer:

greenn paint trust me balls

Answer:

3.51%

Step-by-step explanation:

From the given information:

For the first stream, the present value can be computed as:

\(= 100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}}\)

Present value for the second stream is:

\(=\dfrac{600}{(1+i)^{10}}\)

Relating the above two equations together;

\(100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}} =\dfrac{600}{(1+i)^{10}}\)

consider \(v = \dfrac{1}{1+i}\), Then:

\(\implies 100+200v^n + 300v^{2n} = 600 v^{10}\)

where:

\(v^n = 0.75941\)

Now;

\(\implies 100+200(0.75941) + 300(0.75941))^2 = 600 (v)^{10}\)

\((v)^{10} = \dfrac{100+200(0.75941) + 300(0.75941))^2 }{600}\)

\((v)^{10} = 0.7082\)

\((v) = \sqrt[10]{0.7082}\)

v = 0.9661

Recall that:

\(v = \dfrac{1}{1+i}\)

We can say that:

\(\dfrac{1}{1+i} = 0.9661\)

\(1 = 0.9661(1+i) \\ \\ 0.9661 + 0.9661 i = 1 \\ \\ 0.9661 i = 1 - 0.9661 \\ \\ 0.9661 i = 0.0339 \\ \\ i = \dfrac{0.0339}{0.9661} \\ \\ i = 0.0351 \\ \\ \mathbf{i = 3.51\%}\)

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Answer: The only solution to this is x = 0. Therefore, g(1) = 0 and g' (1) = g' (1) = 1/f ' (0) = 1/2.

Step-by-step explanation: Since, f(x) = 3x3 + 2x + 1, it follows that f ' (x) = 9x2 + 2.  So by the above theorem,

g' (1) = 1/f ' (g(1)) where f ' (g(1)) = 9 · g(1)2 + 2.

It remains to figure out what g(1) equals. Since g(x) = f -1 (x),  g(1) is the solution to

3x3 + 2x + 1 = 1 <----> (3x2 + 2)x = 0

Answer:

A. 0.78 and 1.255.

B.  0.095

C. -0.475

Step-by-step explanation:

The given regression line is

y=-0.17+0.095x

A.

The true average flow rate for a pressure drop of 10 inch can be computed by putting x=10 in above equation.

y=-0.17+0.095*10

y=-0.17+0.95

y=0.78

The true average flow rate for a pressure drop of 10 inch is 0.78.

The true average flow rate for a pressure drop of 15 inch can be computed by putting x=15 in above equation.

y=-0.17+0.095*15

y=-0.17+1.425

y=1.255

The true average flow rate for a pressure drop of 15 inch is 1.255.

B.

The slope represents average change in y due to unit change in x.

So, the true average change in flow rate associated with a 1 inch increase in pressure drop is 0.095(1)= 0.095.

C.

When pressure drops decreases by 5 in. then the average change in flow rate is 0.095(-5)=-0.475.

The flow rate in the device is an illustration of average rates.

The function is given as:

\(\mathbf{y = -0.17 + 0.095x}\)

(a) The true average flow rate when pressure drops 10 and 15 in

When x = 10, we have:

\(\mathbf{y = -0.17 + 0.095 \times 10}\)

\(\mathbf{y = 0.78}\)

When x = 15, we have:

\(\mathbf{y = -0.17 + 0.095 \times 15}\)

\(\mathbf{y = 1.255}\)

Hence, the true average flow rates when pressure drops 10 and 15 in are 0.78 and 1.255 respectively

(b) The true average flow rate when pressure increases by 1 in

This simply represents the slope of the function.

The function is given as:

\(\mathbf{y = -0.17 + 0.095x}\)

A linear regression equation is represented as:

\(\mathbf{y = b + mx}\)

Where m represents the slope

By comparison:

\(\mathbf{m = 0.095}\)

Hence, the true average flow rates associated to a 1 in pressure increment is 0.095

(c) The average change in flow rate when pressure drops decreases by 5 in

The domain of the function is given as:

\(\mathbf{x = 5\ to\ 20}\)

A decrement of -5 in means: x = -5

This is out of the domain of the function

Hence, the average change at a decrement of 5 in cannot be calculated

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A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

<95141404393>

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

Answer:

P = 0.205  (20.5%)

Step-by-step explanation:

\(f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205\)

Hope this helps

Answer:

Each sheet of plywood is $13 and each box of nails is $8.

Step-by-step explanation:

p --> plywood

n --> nails

25p + 4n = 357

35p + 2n = 471

2n = 471 - 35p

n = 235.5 - 17.5p

25p + 4(235.5 - 17.5p) = 357

25p + 942 - 70p = 357

-45p + 942 = 357

-45p = -585

p = 13

n = 235.5 - 17.5(13)

n = 235.5 - 227.5

n = 8

Recall the Trigonometric Ratio below:

\( \tt{ \large{sin \theta = \frac{opposite}{hypotenuse} } }\\ \tt{\large{cos \theta = \frac{adjacent}{hypotenuse} }} \\ \tt{ \large{tan \theta = \frac{opposite}{adjacent} }}\)

For csc, sec and cot - they are reciprocal of sin,cos and tan.

\( \tt{ \large{csc \theta = \frac{1}{sin \theta} } }\\ \tt{ \large{sec \theta = \frac{1}{cos \theta} }} \\ \tt{ \large{cot \theta = \frac{1}{tan \theta} }}\)

What we know now is our hypotenuse, adjacent and opposite length.

Therefore,

\( \large{sin \theta = \frac{12}{15} \longrightarrow \frac{4}{5} } \\ \large{cos \theta = \frac{9}{15} \longrightarrow \frac{3}{5} } \\ \large{ tan \theta = \frac{12}{9} \longrightarrow \frac{4}{3} }\)As for the reciprocal of three trigonometric ratio. We just swap the numerator and denominator.

\( \large{csc \theta = \frac{15}{12} \longrightarrow \frac{5}{4} } \\ \large{sec \theta = \frac{15}{9} \longrightarrow \frac{5}{3} } \\ \large{cot \theta = \frac{9}{12} \longrightarrow \frac{3}{4} }\)

Answer

The first is non-simplifed form while the second that has the arrow pointing is the simplest form.

Let me know if you have any doubts.

to nem ai se vc excluiu minha respostpa q soud o5  oa

n

Answer:

E

Step-by-step explanation:

AP Classroom says so.

The data doesn't provide convincing statistical evidence for considered proportion comparison. We deduce that: Option E: There is not convincing statistical evidence

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

Suppose we have:

Then, we get:

\(Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }}\)

If the level of significance = \(\alpha\)critical value of Z is: \(Z_{\alpha/2}\), and if \(Z > Z_{\alpha/2}\)null hypothesis, else if \(Z_{\alpha/2} > Z\) then we cannot reject it.

For this case, we want to know if  the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.

Thus, we get our hypotheses as:

Null hypotheses: They don't provide convincing evidence (and thus, cinnamon had no improvement on the proportion), and thus:

\(H_0: \hat{p}_1 \leq \hat{p}_2\)

Alternate hypothesis: Data provides convincing evidence (that the use of cinnamon made increment in considered proportion), and thus:

\(H_a: \hat{p}_1 > \hat{p}_2\)

The test is single tailed.

For this case, we have:

Thus, we get:

\(Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }} =\dfrac{0.35 - 0.25}{\sqrt{0.3(0.7 )(\dfrac{1}{40} + \dfrac{1}{40}) }} \approx 0.976\)

At 0.01 level of significance (\(\alpha = 0.01 = 1\%\)), we get the critical value of Z from z-tables as:

\(Z_{\alpha/2} = 2.576\)

Since \(Z_{\alpha/2} > Z\) , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.01

At 0.05 level of significance (\(\alpha = 0.05 = 5\%\)), we get the critical value of Z from z-tables as:

\(Z_{\alpha/2} = 1.96\)

Since \(Z_{\alpha/2} > Z\) , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.05

At 0.10 level of significance (\(\alpha = 0.10 = 10\%\)), we get the critical value of Z from z-tables as:

\(Z_{\alpha/2} = 1.645\)

Since \(Z_{\alpha/2} > Z\) , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.10

Remember that the conclusions can be made even if they were volunteers since that doesn't make it wrong as volunteers are randomly coming out people from real population.

Thus, we deduce that: Option E: There is not convincing statistical evidence

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Answer:

\(\frac{9}{20}\)

Step-by-step explanation:

First, put the decimal over 1. Because this is decimal is already out of 1.

\(\frac{0.45}{1}\)

To get rid of the decimal, we can multiply both the numerator and denominator by 100 to best figure out how to simplify the fraction.

\(\frac{45}{100}\)

Divide each by the GCF, which in this case is 5.

\(\frac{45}{100} / \frac{5}{5} = \frac{9}{20}\)

And there you have your answer. Hope this helps :)

Answer:

0.127 ft per min

Step-by-step explanation:

I used the ai app to verify my answer

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Answer:

∠5  is supplementary.

It forms a straight angle with ∠1.

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

\(6,10\)

Step-by-step explanation:

Method 1:

\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 1:

\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 2:

\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

After simplifying, we will get the expression: x + 46

In the given question, we have to simplify the expression. The expression is given as 4(-8x + 5) - (-33x - 26). Here we just have to multiply the first bracket by 4, and the negative sign will reverse the signs of other numbers in the second bracket according to the rule of subtraction. So, after calculating this expression, we get:

        => 4(-8x + 5) - (-33x - 26)

        => (-32x + 20) + (33x + 26)

        => x + 46

So we get the resultant equation as 'x + 46'

Hence, after solving the expression 4(-8x + 5) - (-33x - 26) we get the resulting equation: x + 45

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Step-by-step explanation:

please mark me as brainlest

The composition of functions is solved and ( f - g ) ( x ) = x² + 8

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2x² + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = x² - 7

( f - g ) ( x ) = f ( x ) - g ( x )

On simplifying , we get

( f - g ) ( x ) = 2x² + 1 - ( x² - 7 )

( f - g ) ( x ) = x² + 8

Hence , the function is ( f - g ) ( x ) = x² + 8

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The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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Answer:

c

Step-by-step explanation:

hoped it helped you:)))

Answer:

Subtract y from both sides. y+1=0

Subtract 1 from both sides y=-1.

So, the value of y is -1.

:)

Answer:  \(\\140_5\\\)

Step-by-step explanation:

Let 's make a division of 101101 by 101 in binary

\(\begin {array} {c|c||c}quotient & remainder & quinary\\101101&0&0\\1001&100&4\\1&1&1\\0\\\end {array}\\\)

\(Reading\ from\ down\ to \ up :\ 140_5\\\)

Answer:

t(n)=8n-4

Step-by-step explanation:

8 is the common difference and -4 is the 0th term.

\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).

the first domain is true for f(0) so we substitute value of x in the first function

\(f(x) = x \\ f(0) = 0\)

The number of times of Puerto Rico is 5/6

No earthquake released 10³ of Colombia

From the question, we have the following parameters that can be used in our computation:

The table of values

On the table of values, we have

Colombia = 6.0M

Puerto Rico = 5.0M

This means that

Number of times = Puerto Rico/Colombia

Substitute the known values in the above equation, so, we have the following representation

Number of times = 5/6

Here, we have

Colombia = 6.0M

So, we have

Earthquake = Colombia * 10³

This gives

Earthquake = 6 * 10³

From the table of values, we have no entries with the readings 6 * 10³

Hence, no earthquake released 10³ of Colombia

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

The total number of possible outcomes for the math quiz is 16

Step-by-step explanation: