The phi coefficient is appropriate to use to determine the strength of the relationship between two nominal variables when the chi-square test of independence is statistically significant and ____

The expression equivalent to 6x + 18 is 3(2x + 6) thus option (B) is correct.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.

Expression is very useful to determine the end or root value of constraint.

As per the given,

6x + 18

Take 3 as common,

3(2x + 6)

Hence "The expression equivalent to 6x + 18 is 3(2x + 6)".

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Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

Answer:45%

Step-by-step explanation:

Answer:

Hello,

Answer B

Step-by-step explanation:

Since A=15*20+B and B<15

The max for B is 14

==> 300+14=314

Answer:

number 1 :m1,m3,m5,m7=157

m2,m4,m6,m8=23

number 2:m1,m6,m9,m14=97m2,m5,m10,m13=83

m4,m7,m12,m15=114 m3,m6,m11,m16=66

whole 4 triangles = 360 and when we have one value, and we can x 2 because the triangle in opposite is the same and when we get it and 360 - the value you have and divide by two will get other two of it.

Answer:

Not rounded:

1.62 increased by 8% of the value = 1.7496

The actual change:

1.7496 - 1.62 = 0.1296

Rounded off to max. 2 decimal places:

1.62 increased by 8% of the value ≈ 1.75

The actual change:

1.75 - 1.62 ≈ 0.13

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

8% = 8 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

8% = 8/100 = 8 ÷ 100 = 0.08

100% = 100/100 = 100 ÷ 100 = 1

The value of the percentage increase = 8% × 1.62

The new value = 1.62 + The value of the percentage increase

The new value =

1.62 + The value of the percentage increase =

1.62 + (8% × 1.62) =

1.62 + 8% × 1.62 =

(1 + 8%) × 1.62 =

(100% + 8%) × 1.62 =

108% × 1.62 =

108 ÷ 100 × 1.62 =

108 × 1.62 ÷ 100 =

174.96 ÷ 100 =

1.7496 ≈

1.75

The actual change =

The new value - 1.62 =

1.7496 - 1.62 =

0.1296 ≈

0.13

The value of the percentage increase =

8% × 1.62 =

8 ÷ 100 × 1.62 =

8 × 1.62 ÷ 100 =

12.96 ÷ 100 =

0.1296 ≈

0.13

Answer:

Step-by-step explanation:

208

Answer:

7.0

Step-by-step explanation:

Tangents form right angles, so AOB is a right triangle.

Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.

5^2 + B^2 = 8.6^2

25 + B^2 = 73.96

B^2 = 48.96

B = squareroot 48.96

B = 6.997 --> 7.0

Answer: r is 7

Step-by-step explanation:

ABO is a right triangle

\(a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997\)

Clarissa packed 180 books at the end of day 4

To calculate the number of books she carried, we can simply multiply the total number of boxes, the books and the number of days.

What is multiplication or product of two numbers?

In mathematics, a product is the result of multiplication, or an expression that identifies objects to be multiplied, called factors. For example, 30 is the product of 6 and 5

To achieve this, we can write this mathematically as;

\(3 * 15 * 4 = 180\)

At the end of the fourth day, Clarissa had carried 180 books.

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The value of x in the triangular pyramid is 8 units.

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

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━━━━━━━☆☆━━━━━━━

▹ Answer

-17 isn't a natural number

▹ Step-by-Step Explanation

Positive integers are only natural numbers, meaning negative numbers aren't natural numbers.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

11880 ways

Step-by-step explanation:

We can solve this problem in two ways. I'm going to show you how to do both.

We have 12 persons and are to choose a chairperson, a vice chairperson, secretary and a treasurer. So we are picking 4 members our of 12 persons.

From this 12, when we pick out one member, we are left with 11members. From 11, if we pick out another one, we have 10 left. From 10, if we pick out another member we have 9 left.

Such that

12 x11 x10x 9= 11880

These are the total different leadership structures possible.

Another way to solve this is by permutation method.

nPr

12!/(12-4)!

= 12!/8!

= 11880 ways

For the equation 75x+30y=1500,  x is (100 - 2y) / 5 and y is (100 - 5x) / 2.

An equation is a mathematical statement that uses symbols and numbers to express a relationship between two or more variables. It states that two expressions are equal to each other.

We can solve for x and y in the equation 75x + 30y = 1500 by using algebraic manipulation.

First, we can simplify the equation by dividing both sides by the greatest common factor of 75 and 30, which is 15:

(75x + 30y) / 15 = 1500 / 15

Simplifying the left side gives:

5x + 2y = 100

Next, we can isolate one of the variables. Let's isolate y by subtracting 5x from both sides:

5x + 2y - 5x = 100 - 5x

Simplifying the left side gives:

2y = 100 - 5x

by dividing both sides by 2:

y = (100 - 5x) / 2

This is the equation for y in terms of x. We can use this equation to solve for y given a value of x, or we can substitute it back into the original equation to solve for x in terms of y.

Let's solve for x in terms of y by isolating x in the equation 5x + 2y = 100:

5x = 100 - 2y

Dividing both sides by 5 gives:

x = (100 - 2y) / 5

This is the equation for x in terms of y. We can use this equation to solve for x given a value of y, or we can substitute it back into the original equation to solve for y in terms of x.

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Using the normal approximation to the binomial distribution, the probabilities are given as follows:

a. 0.2236 = 22.36%.

b. 0.1295 = 12.95%.

The z-score of a measure X of a normally distributed variable that has mean given by \(\mu\) and standard deviation represented by \(\sigma\) is given as follows:

\(Z = \frac{X - \mu}{\sigma}\)

For the binomial distribution, the parameters are given as follows:

n = 42, p = 0.819.

Hence the mean and the standard deviation for the normal approximation are given by:

Using continuity correction, the probability that fewer than 33 flights will arrive on time is P(X < 32.5), which is the p-value of Z when X = 32.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (32.5 - 34.398)/2.495

Z = -0.76.

Z = -0.76 has a p-value of 0.2236.

There is a 0.2236 = 22.36% probability that fewer than 33 flights will arrive on time.

For item b, the probability is the p-value of Z when X = 36.5 subtracted by the p-value of Z when X = 35.5, hence:

X = 36.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (36.5 - 34.398)/2.495

Z = 0.84.

Z = 0.84 has a p-value of 0.7995.

X = 35.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (35.5 - 34.398)/2.495

Z = 0.44.

Z = 0.44 has a p-value of 0.67.

Then:

0.7995 - 0.67 = 0.1295.

There is a 0.1295 = 12.95% probability that exactly 36 flights will arrive on time.

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Answer:

pls write

Step-by-step explanation:

ididruururejejjeie

Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

If BCDE is congruent to OPQR, then DE is congruent to QR .

Congruence means the same point on two different shapes , like parallels

so BC is congruent to OP

and

DE is congruent to QR

In plain English, two objects are said to be congruent if they overlap, i.e., have the same size and shape. If two angles have the same measure, they are said to be congruent. They are congruent if the sides' lengths line up.

Two triangles are said to be congruent if their sides and angles are an exact match.

Conditions for Congruence of Triangles:

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correct, is Decay and the initial amount is 13000, rate is 25%

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^x\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &13000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ x=years \end{cases} \\\\\\ A=13000(1 - 0.25)^{x}\implies \boxed{A=13000(0.75)^x} \\\\\\ \stackrel{\textit{after 3 years}}{A=13000(0.75)^3}\implies A\approx 5484.38~\hfill \stackrel{\textit{after 8 years}}{A=13000(0.75)^8}\implies A\approx 1301.47\)

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

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

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Answer:I will explain this by taking a Question.

           A number x is equal to k% of a number y.

⇒So, if write it's answer in the form of equation

⇒Here, I have used Proportional relationship between x and y, in which, 0.0k is Proportionality Constant.

Step-by-step explanation:

Answer:

Well percent is actually a decimal and can be transformed into a decimal because they're equal to a decimal...

Step-by-step explanation:

(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

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Answer:

4.25 I think but I hoped that helped

The point (0.97, 0.26) is not on the unit circle but it is a good estimate for the coordinates of a point on the unit circle.

What exactly is a circle?

A circle is a simple closed shape in Euclidean geometry that is defined as the set of all points in a plane that are equidistant from a given point called the center. The distance between any point on the circle and the center is called the radius of the circle.

The equation of a circle in the Cartesian plane can be written as:

(x - a)² + (y - b)² = r²

where (a, b) is the center of the circle, and r is the radius.

Now,

a. The unit circle is a circle with a radius of 1, centered at the origin (0,0) in a coordinate plane. Therefore, any point on the unit circle must satisfy the equation x² + y²= 1.

If we plug in the values of x = 0.97 and y = 0.26 into the equation x² + y² = 1, we get:

(0.97)² + (0.26)² = 0.9409 + 0.0676 = 1.0085

As we can see, this is not equal to 1, which means that the point (0.97, 0.26) is not on the unit circle.

b. The coordinates of a point on the unit circle can be represented as (cos θ, sin θ), where θ is the angle that the line segment connecting the origin to the point makes with the positive x-axis.

We can use the Pythagorean identity to rewrite Lin's calculation as:

cos² θ + sin² θ = 0.972 + 0.26² = 1.0084

As we can see, this is very close to 1, which means that (0.97, 0.26) is a good estimate for the coordinates of a point on the unit circle. However, it is not exact, so it is not actually on the unit circle. We know this because the distance from the point to the origin is slightly greater than 1, which violates the definition of the unit circle.

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Answer:

\(\huge\bold{\purple{\bold{⚡Ezy⚡}}} \)

Step-by-step explanation:

a. y-10

b. y+20

c. (y-2)+(y+3) =2y+1

d. {5y}+{7(y-5)}= 12y-35

e. 4y

Answer:

12 nickels 4 dimes 3 quaters

Step-by-step explanation:

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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Answer:

75−4(4−2)^3

=43

They have different y-intercepts but the same end behavior. Thus, option A is correct.

A step functiοn is  mathematical functiοn that takes οn finite number οf cοnstant values οver intervals οf its dοmain. It is alsο knοwn as staircase functiοn οr  piecewise cοnstant functiοn. The cοnstant values that  functiοn takes οn are οften referred tο as  "steps" οf the functiοn.

Tο graph the step functiοn, yοu wοuld start by drawing a cοοrdinate plane with the hοrizοntal axis ranging frοm -5 tο 5 and the vertical axis ranging frοm -2 tο 2. Then, yοu wοuld plοt the pοints (-5,-1), (-4,-1), (-3,0), (-2,1), (-1,1), (0,0), (1,1), (2,-1), (3,-1), (4,0), and (5,1) οn the graph.

They have different y-intercepts but the same end behavior.

They have different y-intercepts because function f(x) is 4, while the y-intercept on graph is 6

But they have the same end behavior at 2.

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Complete question:

Function g is represented by the equation.

\(\rm g(x) = 4 (\frac14)^x + 2\)

Which statement correctly compares the two functions?

A. they have different Y-intercepts but the same end behavior

B. they have the same Y-intercept and the same end behavior

C. they have the same Y-intercept but different end behavior

D. they have different Y-intercepts and different end behavior