How do u get 6.75 into a fraction

The outcome of the operation belongs to the same set of domains emphasizing the mean for whole numbers to be closed.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,

Closure occurs when an operation on members of a set, such as real numbers, always results in a member of the same set. As a result, the result remains in the same set.

Thus, the outcome of the operation belongs to the same set of domains emphasizing the mean for whole numbers to be closed.

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A unit circle has  radius of 1 (r = 1).  For any point on the unit circle.

According to our question-

A unit circle has  radius of 1 (r = 1).  For any point on the unit circle, we have (by the Pythagorean Theorem):

x2 + y2 = 1

x2 + (-1/4)2 = 1

Hence, A unit circle has  radius of 1 (r = 1).  For any point on the unit circle

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Side Angle Side(SAS) , theorem can be used to prove that ABC is congruent to DCA.

According to our question-

The SAS congruency theorem,

two triangles are congruent if any pair of corresponding sides and their included angles are identical in both triangles. In this scenario,

the pair of corresponding sides AB with DC and AD with DA

and their included angles BAD with CDA are equal.

Hence, Side Angle Side(SAS) , theorem can be used to prove that ABC is congruent to DCA.

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A restaurant chef ha 3/4L of strawberry syrup. He uses 1/40L in each desert that he divide for each and every desert. He made 30 deserts.

Given,

Chef has 3/4l strawberry syrup

Each desert uses 1/40l

To determine no of deserts by divide

= total strawberry syrup / syrup for each desert

= ¾ / 1/40

= 30

No of deserts made = 30

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Yes , the 90% confidence interval include the true proportion of youth survey participants who say that they are about the right weight.

The confidence interval for a population proportion is calculated by the  below formula

p ± z×√(p × (1-p))/n

where p is called as sample proportion

z is called as z-value

and n is sample size

Here, we have sample size(n)=100

and by using the z-table we find that p-value=0.56 and z-value=1.645

90% confidence interval=0.56±(1.645×√[0.56×(1-0.56)]/100)

=>90% confidence interval=0.56± [1.645×√(0.56×0.44)/100]

=>90% confidence interval=0.56±[1.645×(√0.2464/100)]

=>90% confidence interval=0.56±[1.645×(0.049)]

=>90% confidence interval=0.56+0.0816 and 0.56-0.0816

=>90% confidence interval=0.6416 and 0.4784

So,90% confidence intervals covers [0.4784,0.6416] proportion of total population.

Here intervals range is greater than zero, it means 90% confidence interval covers the true proportion.

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(Complete question) is:

does the 90% confidence interval include the true proportion of youth survey participants who say that they are about the right weight? If sample size is 100.

Answer:

18% decrease

Step-by-step explanation:

-Subtract the ending value from the starting value.

40.00 - 32.80 = 7.20

-Divide this number by the starting value.

7.20 / 40.00 = 0.18

-Multiply by 100 to find the percentage change

0.18 * 100 = 18% decrease

Answer:

[tex] \frac{ - 112}{15} [/tex]

Step-by-step explanation:

This is my solution and answer hope I'm right

The range is the set between all of the possible output values, which always shown on y-axis by identify any given domain and then finding the range of any functions is by taking graphs into consideration.

To discover the area and variety, we without a doubt remedy the equation y = f(x) to decide the values of the unbiased variable x and gain the area. To calculate the variety of the feature, we without a doubt explicit x as x=g(y) after which discover the area of g(y).

Because the area refers back to the set of viable enter values, the area of a graph includes all of the enter values proven at the x-axis. The simplest approach of locating the variety of a feature, say y = f(x), is to explicit x as g(y) and pick out the area set for g(y). This might be the variety for the given feature f(x).

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The number of bacteria that will be there after 3 hours is 6400

What is exponential growth model?

What transpires when you repeatedly multiply by the same amount is described by an exponential growth model. It has a wide range of uses, especially in the economics and life sciences. A population that doubled annually would represent a straightforward exponential growth scenario. For instance, y=A(2)x.

After 1 hour there are 100 bacteria

After 2 hours there are 200 bacteria

Let x be hours and y be the number of bacteria

[tex]y = ab^{x}[/tex]

where, a is initial value and b is growth factor.

After 1 hours, there are 100 bacteria. So, the point is (1,100). Put x=1 and y=100

100 = ab ⇒ (1)

After 2 hours, there are 200 bacteria. So, the point is (2,200). Put x=2 and y=200

200 = ab² ⇒ (2)

Dividing eq (2) and eq(1)

[tex]\frac{200}{100} = \frac{ab^{2} }{ab}[/tex]

b = 2

Putting the value of b in eq 1

100 = 2a

a = 50

When x = 3 what is the y value

y = 50 * [tex]2^{7}[/tex]

  = 50*128

  = 6400

Therefore, the number of bacteria after 3 hours is 6400.

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The mean of the 1234567 numbers is 4.

What is mean?

A amount that includes a price intermediate between those of the acute members of some set is known as mean.

Main body:

In this question we have to find the mean of the first 7 numbers. Whole numbers are all non-negative integers which start from 0. Now the mean of the first 7 numbers will be the mean of numbers from 1 to 7, as the count of numbers from 1-7 is 7. Use this concept to reach the answer.

Mean of numbers is equal to the sum of the numbers divided by the count of the numbers that is

Mean = sum of numbers/ total numbers          …………………….. (1)

To find the mean of the 1234567 , we will find the sum of numbers from 1 to 7 as 1-7 are the first 7  numbers.

So, the sum of the digits is 1+2+3+4+5+6+7 = 28

total numbers = 7

mean = 28/7 = 4

Hence mean of 1234567 is 4.

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The correct answer is that B and C both have constant torque.

a)The torque about the left side (i.e -1)

T = (8-28-3)c/4= -232/4.

b)The torque about the left side (i.e -1)

T = (8+24-12-20)c/4 = 0

c) The torque about the left side (i.e -1)

T = (20+60-80)c/4 = 0

d)The torque about the left side (i.e -1)

T = (24-6-12-8)c/4 = -2c/4

The net force is the vector sum of forces appearing on a particle or object. The net pressure is a single force that replaces the impact of the unique forces on the particle's movement. It gives the particle equal acceleration as all the one's real forces together as described by Newton's second law of motion.

The internet pressure is whilst a body is in motion and plenty of forces are energetic on it like gravitational force [tex]F_{g}[/tex], frictional pressure [tex]F_{f}[/tex], and the everyday force. consequently, the net force formula is given by way of.[tex]F_{Net}[/tex] = [tex]F_{a}[/tex]+ [tex]F_{g}[/tex] + [tex]F_{f}[/tex] + [tex]F_{N}[/tex].The net force is the vector sum of all the forces appearing on an item. while an object is in equilibrium (either at rest or shifting at a regular pace), the net pressure acting on its miles is 0. The greater the net force performing on the object, the greater its acceleration will be. Newton's second law of movement summarizes those relationships. The equation for acceleration above can be rewritten to solve for net force as internet pressure = Mass ×Acceleration, or F = m × a.

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Answer:

  143

Step-by-step explanation:

You want the value of the term with degree 0 in the polynomial 12x²-42x+143.

The degree of each term is the exponent of the variable. A term with no variables has degree 0.

The term with no variables is also called the constant term. The constant in this polynomial is 143.

The value of the term with degree 0 is 143.

__

Additional comment

If there is more than one variable, the degree of the term is the sum of their exponents.

The differential equations that could be used to model this situation with respect to time t, where k is a positive constant is db/dt= kp(N-p)

A differential equation is a mathematical equation that contains one or more terms and the derivatives of one variable (the dependent variable) with respect to another variable.

A differential equation is an equation that connects one or more unknown functions and their derivatives. In most applications, functions represent physical quantities, derivatives represent their rates of change, and differential equations define a relationship between the two.

This was illustrated regarding the change with respect to the number of people.

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The entire garden needs to be fence for a total of $156.

Given that,

A fence is required to entirely enclose a garden that is 15 by 24 feet in size. Each foot of fencing costs $2.

To find : The overall cost of fencing the garden?

Dimensions are given by 15 feet and 24 feet

Cost per foot is $2

Total perimeter of garden is given as 2(l+b)

P = 2(l+b)

P= 2(15+24)

P = 78 feet

1 feet = $2

78 feet = 78 * 2 = $156

Therefore, the total cost required to fence the entire garden is $156

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The general indefinite integral of the sect (4sect + 5tant) is 4tant + 5sect + c in which c for the constant of integration.

Integration: Integration can be used to find areas, volumes, central points, and many useful things. But it is easiest to start with finding the area between a function and the x-axis.

Given:

∫sect (4sect + 5tant)dt

Multiplying in the bracket by sect. We get,

=> 4∫(sec²t + 5tantsect)dt

=> 4(∫sec²t dt + ∫5tantsectdt)

As we know that:

∫(sec²t) dt = tant, ∫tantsectdt = sect

=> 4tant + 5 sect

Adding constant after integration. We got the value,

=> 4tant + 5 sect + c

The integral of the sect (4sect + 5tant) is 4tant + 5sect + c in which c for the constant of integration.

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Traits can be dominant or recessive, and the recessive traits were obscured by the dominant ones in the F1 generation.

Given,

In the question:

Mendel accounted for the observation that traits which had disappeared in the f1 generation reappeared in the f2 generation by proposing that___

Now, According to the question:

Fill up the above blank:

Mendel accounted for the observation that traits which had disappeared in the f1 generation reappeared in the f2 generation by proposing that__

Solution:

In the Mendel’s experiment, some traits which were absent in the F1 generation appeared in the second generation cross. By this he concluded, that the traits expressed in the F1 generation were dominant and hence they capped the expression of traits associated with recessive allele. He classified the traits in F2 generation as recessive, because these traits can occur only when they are in pair i.e they form individuals with homozygous recessive genotype.  

For instance – If “R” is allele for dominant red color trait and “r” is the allele for recessive white color trait, then the cross between true breeding red flowers and white flowers will produce following offspring  

RR * rr

Rr, Rr, Rr, Rr

Thus, in F1 generation all the offspring are heterozygous red

F2 generation-  

Rr * Rr

RR, Rr, Rr, rr

The recessive trait of white colored flower reappears in second generation.

Hence, Traits can be dominant or recessive, and the recessive traits were obscured by the dominant ones in the F1 generation.

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We reject null hypothesis in which there is no difference here between pair of treatment means if the confidence interval for that difference contains zero; this is a "true" statement.

A statistical conjecture known as a null hypothesis asserts that certain features of such a population or content process are not different from one another.

Thus, we reject null hypothesis in which there is no difference here between pair of treatment means if the confidence interval for that difference contains zero; this is a "true" statement.

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The computed probability is computed as <0.8967, 0.1033> which shows that as the days 90 by, the probability of rain on the current day increases monotonically towards a fixed point.

Chance is the branch of arithmetic concerning numerical descriptions of how probable an event is to occur, or how probable it is that a proposition is proper. The chance of an event is a range between zero and 1, wherein, roughly speaking, 0 indicates the impossibility of the occasion and 1 shows actuality. The higher the chance of an occasion, the much more likely it's miles that the event will occur. A simple example is the tossing of a truthful (impartial) coin. because the coin is truthful, the two outcomes ("heads" and "tails") are both similarly possible; the chance of "heads" equals the possibility of "tails"; and on account that no different effects are feasible, the possibility of either "heads" or "tails" is half off (that could additionally be written as zero.5 or 50%).

these standards had been given an axiomatic mathematical formalization in chance ideas, that are used extensively in areas of observation which include records, arithmetic, technology, finance, gambling, artificial intelligence, gadget studying, computer science, sport idea, and philosophy, for example, draw inferences about the expected frequency of events. possibility concept is likewise used to describe the underlying mechanics and regularities of complex structures.

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Answer:

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

m<D + m<E + m<F = 180°

4x + 2x + m<F = 180

What is the measure of <F? It's not clear in the post.

Aftre solving, the all option is false except option c. Only option c, ∅×A=∅ is correct because cartesian product with non empty set with empty set alsways gives empty set.

In the givn question we have to find which statement is true.

To solve the question we let;

A={1,2,3}; B={2,3,4}; C={2,3}

(a) The first option is (A – C) ∩ (A – B) = A – (B ∪ C)

Now solving the both side by putting the value

({1,2,3} – {2,3}) ∩ ({1,2,3} – {2,3,4}) = {1,2,3} – ({2,3,4} ∪ {2,3})

{1} ∩ {1,4} = {1,2,3} – {2,3,4}

{1} = {1,4} (False)

(b) If A ∩ B = ∅, then A ⊂ B

As we know that if If A ∩ B = ∅, then A=∅ and B=∅. That means both A and B will be empty set. So the option B is false.

(c) ∅ X A = ∅

As we know that cartesian product with non empty set with empty set alsways gives empty set. SO the option C is correct.

(d) (A – B) ∪ (B – C) = A – C

Now solving the both side by putting the value

({1,2,3} – {2,3,4}) ∪ ({2,3,4} – {2,3}) = {1,2,3} – {2,3}

{1,4} ∪ {4} = {1}

{1,4} = {1} (False)

(e) ∅ ∩ {∅} = ∅ (False)

(f) B X A = A X B (False)

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If discriminant is negative then the nature of roots is imaginary.

For a general quadratic equation, [tex]ax^2+bx+c=0[/tex]

the roots of the equation are [tex]\alpha=\frac{-b-\sqrt{b^2-4ac}}{2a}\ and\ \beta=\frac{-b+\sqrt{b^2-4ac}}{2a}[/tex]

Where, [tex]b^2-4ac[/tex] is known as discriminant.

If

Case i) [tex]b^2-4ac > 0[/tex]

then discriminant is positive and the roots α and β of the quadratic equation  are real and unequal.

Case ii) [tex]b^2-4ac =0[/tex]

then discriminant is zero and the roots α and β of the quadratic equation are real and equal.

Case iii) [tex]b^2-4ac < 0[/tex]

then discriminant is negative and the roots α and β of the quadratic equation are unequal and not real, it means imaginary.

Case iv) [tex]b^2-4ac > 0[/tex] and perfect square

then discriminant is positive and perfect square and the roots α and β of the quadratic equation are real, rational and unequal.

Hence, if discriminant is negative then the nature of roots is imaginary.

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Range = 12

■ Maximum value = 10.

■ Minimum value = -2

■ Count of numbers within the set = 13

Answer:

Polarity of Compound (Ionic/Polar or NonpolarCovalent)

The magnitude of 2(u-v +w) is 17.1.

The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.

We need to find the value of 2(u-v+w).

How to find the magnitude of vector?

The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.

Now, 2(2i + 3j-(-i)+5i-6j)

=2(2i+3j+i+5i-6j)

=2(8i-3j)=16i-6j

The magnitude of 16i-6j=√16²+6²=√256+36=√292

Therefore, the magnitude of 2(u-v +w) is √292 which is 17.1.

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Complex fractions are fractions with a fractional numerator, denominator, or both.

Given,

We have to state about complex fraction;-

Complex fraction;

When both the denominator and the numerator, or both, contain fractions, the fraction is said to be complicated. A complex fraction with a variable is a complex rational expression. For instance: The complex fraction 4/(1/3) has the denominator as 1/3 and the numerator as 4.

Solving the complex fraction;

In the numerator and denominator, make a single fraction. By multiplying the numerator by the inverse or reciprocal of the denominator, you can use the fractional division rule. If it's required, simplify.

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The pension is equal to $19,016

First,  we have to calculate the average of the salaries from the last three years:

avg salary = (38592 + 37590 + 37010)/3

= 113192/3

= 37730.66

Next, calculate the percentage that Mrs. Brown will get, multiplying 1.8% times the amount of years that she worked:

28 x 1.8 = 50.4

Finally, calculate what is 50.4% of the average income equal to:

50.4% of avg salary

50.4 % of 37730.66

(50.4/100) 37730.66

= 19016

Therefore, the pension is equal to $19,016

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The required probability that a single reading is between 9 and 12 is 0.2493.

While information focuses are alluded to as x in a typical dissemination, they are called z or z-scores in the z-conveyance. A z-score is a standard score that lets you know the number of standard deviations from the mean a singular worth (x) lies: A positive z-score implies that your x-esteem is more noteworthy than the mean.

Its formula is Z = X - x⁻/S

P(9<x<12)

Z = 12-10/1 = 2 , Z = 8-10/1=-2

Then, P(-2 < Z < 2)  

P(z <2) - (z<-2)

0.4773 - 0.228 = 0.2493

P(-2 < Z < 2)   = 0.2493.

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If the two corresponding sides and the angle added to these sides of one triangle are the same as the corresponding sides and the included angle of the second triangle,then it is said that the two triangles are congruent.

If AB = XY, angle A = angle X, and angle C = XZ, then triangle ABC is comparable to triangle XYZ mathematically.

All of the sides and angles of one triangle will be equal to those of the other triangle if the SAS congruence theorem holds true for any two triangles.

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