3/4x +3/2x=9/4
What is the answer to this

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

\(H _{0} : p = 0\)

When correlation is non-zero,

\(H _{ \alpha } : p ≠0\)

The test statistic is,

\(TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } \)

\( = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } \)

\( = \frac{ - 1.918 }{ \sqrt{0.84} } \)

= -2.093

The test statistic is -2.093.

The correlation is,

\(H _{ \alpha } : - 2.93 ≠0\)

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

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Answer:

Pretty much everything, my dude

Step-by-step explanation:

May I have brainliest please? :)

The probability that a randomly selected passenger has been waiting for more than 3.25 minutes is 50%.

Given that the waiting time is a way departure schedule and the actual departure are uniformly distributed between 0 and 8 minutes. We have to find the probability that a randomly selected passenger has been waiting for more than 3.25 minutes. So, here A is the event that a randomly selected passenger has been waiting for more than 3.25 minutes.

P(A) = P(X > 3.25)

Now, the waiting time is uniformly distributed between 0 and 8 minutes.

Thus, the probability density function (pdf) f(x) is given by,

f(x) = 1/8 for 0 ≤ x ≤ 8

Now, the cumulative distribution function (cdf) F(x) is given by,

F(x) = ∫f(x)dx = x/8 for 0 ≤ x ≤ 8

P(X > 3.25) = 1 - P(X ≤ 3.25)

P(X > 3.25) = 1 - F(3.25)

P(X > 3.25) = 1 - 3.25/8

P(X > 3.25) = 0.59

Therefore, the probability that a randomly selected passenger has been waiting for more than 3.25 minutes is 0.59 or 59%.

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Answer:

4.8

Step-by-step explanation:

Answer:

4.8 miles

Step-by-step explanation:

Let's make a proportion using this setup:

miles/minutes=miles/minutes

We know that Nicole runs 6 miles in 55 minutes. We don't know how many miles she runs in 44 minutes, so we can say she runs x miles in 44 minutes.

6 miles/55 minutes=x miles/44 minutes

6/55=x/44

Now, we have to find x. To do this, we need to get x by itself. x is being divided by 44. To undo this, multiply both sides by 44, since multiplication is the opposite of division.

44*(6/55)=(x/44)*44

The 44s on the right cancel, so we are left with:

44*6/55=x

4.8=x

Nicole can run 4.8 miles in 44 minutes

Answer:

3

Step-by-step explanation:

The greatest common factor of 39 and 48 is 3.

The given numbers are 39 and 48

Here we have to find greatest common factor of it.

Since we know that,

The greatest common divisor of a set of positive integers (a, b) is defined as the biggest positive number that is a common factor of both positive integers (a, b). The GCD of any two numbers is never negative or zero since the smallest positive integer shared by any two integers is always 1.

In order to find GCD;

Factorize 39 :

39 = 1 x 3 x 13

And factorize 48:

48 =  2⁴ x 3

Now we can see that,

3 is in common as a factor in both,

39 and 48

Hence,

GCD of  39 and 48 ⇒ 3

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All the Options (1, 2, 3) are correct i.e., A is always similar to A. and  If A is most similar to B, then we can say B is similar to A. and at last If A is most similar to B and B is also similar to C, then A must be similar to C matrix.

Properties of Similar square Matrices : Similar matrices percentage many residences and it's miles those theorems that justify the selection of the word ``similar.'' First we can display that similarity is an equivalence relation. Equivalence members of the family are essential withinside the have a look at of diverse algebras and might continually be seemed as a sort of susceptible model of equality.

Sort of alike, however now no longer pretty equal. The perception of matrices being row-equal is an instance of an equivalence relation we were operating with on account. Row-equal matrices aren't equal, however they may be lots alike. For instance, row-equal matrices have the identical rank. Formally, an equivalence relation calls for 3 situations hold: reflexive, symmetric and transitive. We will illustrate those as we show that similarity is an equivalence relation.

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The final coordinates of the figure, following the reflection and translation are;

A''(-2, -1)

B''(-3, 1)

C''(2, 2)

A translation transformation is a geometric transformation that moves every point of a shape or object by the same distance in the same direction.

The coordinates of the vertices of the triangle are;

(-5, -1), (-6, -3), and (-1, -4)

1) The first transformation is a reflection across the x-axis

The coordinate of the point (x, y) following a reflection across the x-axis =  The point (x, -y)

Therefore, the coordinate of the image of the triangle following the reflection across the x-axis are the points;

(-5, -1) ⇒ (-5, 1)

(-6, -3) ⇒ (-6, 3)

(-1, -4) ⇒ (-1, 4)

The coordinates of the image following the reflection are therefore;

A'(-5, 1), B'(-6, 3), C'(-1, 4)

b. The coordinates of the image of the reflected triangle following a translation of <3, -2> are;

A'(-5, 1) ⇒ A''(-5 + 3, 1 - 2) = A''(-2, -1)

B'(-6, 3) ⇒ B''(-6 + 3, 3 - 2) = B''(-3, 1)

C'(-1, 4) ⇒ C''(-1 + 3, 4 - 2) = C''(2, 2)

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The Gross profit is $178, in the ending inventory using the periodic inventory.

What is profit?

To determine how much profit has been generated in a transaction, apply the profit formula. A product is said to have made a profit when its selling price is higher than its cost. The profit formula is useful for figuring out how much money is made when a certain product is sold, often in a business, or for figuring out how much money is made in any financial transaction. In situations where the selling price exceeds the cost price, profit can be determined. The following is the formula to calculate the profit:

Selling price minus cost price is referred to as profit (C.P.)

the last-in, first-out principle. According to LIFO, expenses are deducted starting with the costs of the most recent purchases of goods.

The most recent purchases, which were made on January 18 and January 12, resulted in 16 units.

Cost of goods sold = (7*6) + (9*4) = 42 + 36 = $78

Sales = 16*16 = $256

Gross profit = Sales - Cost of goods sold = 256 - 78 = $178

Hence, the Gross profit is $178

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Answer:

a). x = 12

b). m∠H = 90°

    m∠I = 58°

    m∠J = 62°

Step-by-step explanation:

a). Use the property of a triangle,

  " Sum of all the angles in a triangle is 180°"

  (2x + 34)° + (4x + 14)° = 180°

  (2x + 4x) + (34 + 14) = 180

  6x + 48 = 180

  6x = 180 - 48

  6x = 132

   x = \(\frac{132}{6}\)

   x = 12

b). m∠H = 90° [Given]

   m∠I = (2x + 34)° = [(2 × 12) + 34]°

   m∠I = 58°

   m∠J = (4x + 14)° = [(4 × 12) + 14]°

  m∠J = 62°

The expression that only uses multiplication and that is equivalent to x reduced by 1/8 of x is: x * (1 - 1/8).

An expression in mathematics is a combination of numbers, variables, and operations that represent a value or set of values.

The expression calculates the reduction of x by 1/8 of x by subtracting 1/8 of x from x, which is x * 1/8. By subtracting this from x, the expression calculates x reduced by 1/8 of x. The expression that only uses multiplication and that is equivalent to x reduced by 1/8 of x is:

x * (1 - 1/8).

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Step-by-step explanation:

What is the equivalent improper fraction of the multiplicand in the given 7 1/7 x 4 1/5?

this answer is 7 1/7 x 4 1/5=30

Answer:

f(x) = x2 – 10x + 21

Step-by-step explanation:

I got it because you substract and add the last part

The favorable outcome is the number of all-women groups (126) and the total possible outcomes are all possible groups (3003). Therefore, P(all-women) = 126/3003 ≈ 0.0419 (rounded to four decimal places).

(a) To determine the number of different groups of applicants that can be selected for the positions, we use the combination formula: C(n, k) = n! / (k!(n-k)!) where n is the total number of applicants (9 women + 6 men = 15) and k is the number of positions (5). So, C(15, 5) = 15! / (5!(15-5)!) = 3003.

(b) To find the number of different groups of trainees consisting entirely of women, we use the same formula but with only the 9 women as applicants: C(9, 5) = 9! / (5!(9-5)!) = 126.

(c) To calculate the probability that the trainee class will consist entirely of women, we can use the formula P(event) = Number of favorable outcomes / Total possible outcomes. In this case, the favorable outcome is the number of all-women groups (126) and the total possible outcomes are all possible groups (3003). Therefore, P(all-women) = 126/3003 ≈ 0.0419 (rounded to four decimal places).

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Answer:

the answer of this question is = 6x + 18

Answer:

You breath faster

Step-by-step explanation:

Answer:

when the requires more oxygen our breathing rate increases

Answer:

27f + 59

Step-by-step explanation:

According to the centroid theorem, the distance between the vertex and the midpoint of the sides equals 2/3 of a triangle's centroid.

The center of the object is known as the centroid. The centroid of a triangle is the location where the three medians of the triangle meet. The intersection of all three medians is another way to define it. The middle is a line that joins the midpoint of a side and the contrary vertex of the triangle. The ratio of the distance between the median and the centroid of the triangle is 2: 1. It can be determined by taking the average of all the triangle's vertices' x- and y-coordinate points.

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The volume of the solid can be found by using the general slicing method which involves slicing the solid into multiple thin slices, computing the volume of each slice.

The general slicing method can be used to find the volume of the solid with a semicircular base of radius 9 whose cross section is a triangle. This method involves slicing the solid into multiple thin slices, computing the volume of each slice, and then summing up the volumes of all the slices. To find the volume of each slice, we first need to determine the area of the cross-section for each slice. The area of the cross-section can be found by multiplying the base of the triangle by its height. For each slice, the base of the triangle is equal to 2πr/N, where r is the radius of the semicircle and N is the number of slices. The height of the triangle is equal to the thickness of each slice. Once the area of the cross-section is calculated, we can find the volume of each slice by multiplying the area by the thickness of the slice. Finally, the volume of the solid is equal to the sum of the volumes of all the slices.

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The option that is NOT an augmented functional dependency is: Q --> P, because it removes the attribute from the left-hand side of the existing functional dependency, which is not allowed in an augmented dependency.

Functional dependency: It is a concept in database management systems that describes the relationship between two attributes or sets of attributes in a table. In a functional dependency A → B, A is the determinant or the attribute(s) that uniquely determines the value of B.

Augmented functional dependency : It is formed by adding one or more attributes to the determinant side of an existing functional dependency.

From the given options, the only one that is not an augmented functional dependency is "Q → P". This is because it does not involve adding any attributes to the determinant side of an existing functional dependency.

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506.433 minutes elapse before the minute hand next points in the same direction as the hour hand.

Conversion of hours to minute:

As we all know, an hour is made up of sixty minutes, therefore

1 hour=60minutes

Thus, all you need to do to convert time from hours to minutes is to multiply the time in hours by 60 to get the time in minutes.

If you want to convert minute to hours divide the given time in minutes by 60.

The hands line up 11 times every 12 hours, or roughly every 1:05.5 hours; the precise number is 1:05.4545 repeating.

The repetition time is 8:43.6363. When expressed in seconds, the result is 8:43:38.1818 repeating, or 8:43:38 and 2/11.

This is 261 and \(\frac{9}{11}\) degrees, or 261.818 repeated.

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Answer:

\( x = 2 \)

Step-by-step explanation:

We need to find the value of x so that the value of given function becomes 21 .

We have ,

\(f(x)=21\\\\ f(x)= 6x + 9 \)

Now , for finding x ,

\( 6x +9 = 21 \\\\ 6x = 21 -9 \\\\ 6x = 12 \\\\ x = 2 \)

Answer:

x=2

Step-by-step explanation:

Answer:

\(3\frac{3}{4}=\frac{15}{4} =3.75\)

Step-by-step explanation:

Hope this helps.

Therefore , the solution of the given problem of slope comes out to be

slope m = 1/5.

How steep a line is defined by its slope. A gradient overflow is a feature of a gradient-based equation. The slope is calculated by dividing the average horizontal differences (run) between two locations by the vertical difference (rise) between the same two locations. The hill type of an equation is used to represent the problem of a fixed path and is written as y = mx + b. The line's y-intercept lies where the grading is m, a = b, where (0, b). The slope y and y-intercept are the following for the trigonometric functions y = 3x - 7: (0, 7). Where the line's slope is m and b is where the y-intercept is located.

Here,

Given:

Section A: If y=2(x)1/2 If f'(a)=a-1/2 and f'(a)=y'=dy/dx=x-1/2, then m=a-1/2.

For point (x1, y1), section b) point slope y-y1=m(x-x1), x=a, y-4=4-1/2 (x-4)

y=1/2(x-4)+4

y=1/2x-2+4

y=1/2x+2

Y-10=25-1/2 at point (25,10) (x-25)

y=1/5(x-25)+10

y=1/5x-5+10

y=1/5x+5

Therefore , the solution of the given problem of slope comes out to be

slope m = 1/5.

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Answer: 400:18

and 200:9

Step-by-step explanation:

A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for every cup of flour?

2/5 = 0.4

so there is 0.4 cups of sugar used for every one cup of flour.

Answer:

4/1000

Step-by-step explanation:

the value of 4 is 0.004 which in fraction form is 4/1000

Step-by-step explanation:

\(y = 2x - 24 \\ 4x = 3y \\ 2x = 1.5y \\ y = 1.5y - 24 \\ y - 1.5y = - 24 \\ 0.5y = 24 \\ y = 48 \\ x = \frac{3y}{4} = \frac{3 \times 48}{4} = 36\)

x= apples =36 cents

y= pears =48 cents