What is the Reciprocal of 10/3

Awnser

bepending on how many marbles are in the bag will determine what color of marble will be drown out of the bag

Step-by-step explanation:

Log22/Log9 express log_9 22 in terms of common logarithms

Common logarithms, is commonly describd as base-10 logarithms.

It is a type of logarithm that involve taking the logarithm of a number with respect to the base of 10.

This means that common logarithms show how many powers of ten must be increased to get a particular number. The usual logarithm of 100, for example, is 2, because 10 raised to the power of 2 equals 100.

The answer provided is based on the full question below;

-------------express log_9 22 in terms of common logarithms

a. Log 22/9

b. Log 198

c. Log22/Log9

d. Log9/Log22

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The essays that she can review in 1 hour would be; 2 2/3.

A fraction represents a part of a number or any number of equal parts.

We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.

Thus, Fraction of the essay reviewed = 2/3

Amount of time used = 1/4

Therefore, the fraction of essay for an hour can be calculated as;

= Fraction of the essay reviewed / Amount of time used

= 2/3 ÷ 1/4

= 2/3 × 4

= 8/3

= 2 2/3

Hence, She will review 2 2/3 essay.

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The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

1/6

Step-by-step explanation:

6 sides. 1 face with number 1. 1/6

Answer:

Is this your hw

Step-by-step explanation:

Answer:

  C.  -1

  D.  1

Step-by-step explanation:

A perfect linear relationship is indicated by a correlation with a magnitude of 1. The sign of the correlation coefficient is the sign of the slope of the line describing the relationship. It may be positive or negative.

The appropriate choices are ...

  C.  -1

  D.  1

Answer:

c=-1

d=1

Step-by-step explanation:

Answer:

0.32 = 32% probability that an employee selected at random will need either corrective shoes or major dental work.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Needing corrective shoes.

Event B: Needing major dental work.

14% of the employees needed corrective shoes

This means that \(P(A) = 0.14\)

21% needed major dental work

This means that \(P(B) = 0.21\)

3% needed both corrective shoes and major dental work.

This means that \(P(A \cap B) = 0.03\)

What is the probability that an employee selected at random will need either corrective shoes or major dental work?

This is:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

So, from the values given by the exercise:

\(P(A \cup B) = 0.14 + 0.21 - 0.03 = 0.32\)

0.32 = 32% probability that an employee selected at random will need either corrective shoes or major dental work.

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

Given Information:

Population proportion = p =  0.55

Sample size 1 = n₁ = 30

Sample size 2 = n₂ = 100

Sample size 3 = n₃ = 1000

Required Information:

Standard error = σ = ?

Answer:

\($ \sigma_1 = 0.091 $\)

\($ \sigma_2 = 0.050 $\)

\($ \sigma_3 = 0.016 $\)

Step-by-step explanation:

The standard error for sample proportions from a population is given by

\($ \sigma = \sqrt{\frac{p(1-p)}{n} } $\)  

Where p is the population proportion and n is the sample size.

For sample size n₁ = 30

\($ \sigma_1 = \sqrt{\frac{p(1-p)}{n_1} } $\)

\($ \sigma_1 = \sqrt{\frac{0.55(1-0.55)}{30} } $\)

\($ \sigma_1 = 0.091 $\)

For sample size n₂ = 100

\($ \sigma_2 = \sqrt{\frac{p(1-p)}{n_2} } $\)

\($ \sigma_2 = \sqrt{\frac{0.55(1-0.55)}{100} } $\)

\($ \sigma_2 = 0.050 $\)

For sample size n₃ = 1000

\($ \sigma_3 = \sqrt{\frac{p(1-p)}{n_3} } $\)

\($ \sigma_3 = \sqrt{\frac{0.55(1-0.55)}{1000} } $\)

\($ \sigma_3 = 0.016 $\)

As you can notice, the standard error decreases as the sample size increases.

Therefore, the greater the sample size lesser will be the standard error.

Th two-way relative frequency table has been attached at the end of the solution. The relative frequencies were obtained by dividing each frequency by the total number of students (325).

Frequency refers to the number of times that a particular event or value occurs within a specific dataset or sample. In statistics, frequency is often used to represent the distribution of values in a dataset, and it can be displayed using tools such as frequency tables, histograms, or frequency polygons.

90 students are in a club and play a sport.

140 total students play a sport.

Therefore, 140 - 90 = 50 students play a sport but are not in a club.

The total number of students who play a sport is 140 + 50 = 190.

200 total students are in a club.

Therefore, 200 - 90 = 110 students are in a club but do not play a sport.

The total number of students who do not play a sport is 325 - 190 = 135.

The relative frequency of students who play a sport and are in a club is 90/325 = 0.277.

This table tends to show the proportion of students in each category and how they overlap with the other category. For example, we can see that 27.7% of the students play a sport and are in a club, while 15.4% of the students do not play a sport but are in a club. We can also see that 21.5% of the students play a sport but are not in a club, while 35.4% of the students do not play a sport and are not in a club.

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The rate of return for the entire portfolio, given the amount allocated to each of the four securities is

The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.

The rate of return for the portfolio is therefore :

= ∑ ( proportion invested x rate of return )

= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x  - 12 % )

= 7. 8 %

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Answer:

0.138 acres per pound of seed

Step-by-step explanation:

Answer:

x=3

y=-4

Step-by-step explanation:

\(\left \{ {{y=2x-10} \atop {y=-3x+5}} \right. \\\left \{ {{2x-10=-3x+5} \atop {y=-3x+5}} \right. \\\left \{ {{5x=15} \atop {y=-3x+5}} \right. \\\left \{ {{x=3} \atop {y=-3*3+5}} \right. \\\left \{ {{x=3} \atop {y=-4}} \right.\)

Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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\( \large \mathfrak{Answer : }\)

Scientific notation for above vLue is :

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

Step-by-step explanation:

Perimeter add all the sides.

so let's walk around and combine like terms:

starting on the bottom moving to the left.

3x^2 + x^2= 4x^2 (there are no other squared terms)

back to the bottom moving left again:

-11x-3x+3x+x = -10x (-3x + 3x =0)

so -11x + x = -10x

now add all of the constants

-1 + 2 = 1

so your answer is

4x^2 -10x + 1

Answer:

35.2

Step-by-step explanation:

Answer:

\( (x+6)^2+(y-5)^2=4^2\)

Step-by-step explanation:

To find:-

Answer:-

We are interested in finding out the equation of the given circle. For that , take any two diametrically opposite coordinates. Two such coordinates are (-6,1) and (-6,9) . Now using midpoint formula , find the midpoint as ,

Midpoint formula:-

\(\longrightarrow \boxed{(x_m,y_m)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}\\\)

On substituting the respective values, we have;

\(\longrightarrow (x_m,y_m) =\bigg(\dfrac{-6-6}{2},\dfrac{1+9}{2}\bigg) \\\)

\(\longrightarrow (x_m,y_m) =\bigg(\dfrac{-12}{2},\dfrac{10}{2}\bigg) \\\)

\(\longrightarrow \red{ (x_m,y_m) = (-6,5)}\\\)

This is the coordinate of the centre of the circle as centre is at the midpoint of the diameter. Now using distance formula , we can find the radius. Here we will use the coordinates of the centre and any one of the point on the circle say (-6,1) .

Distance formula :-

\(\longrightarrow \boxed{d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}} \\\)

On substituting the respective values, we have;

\(\longrightarrow d =\sqrt{ \{-6-(-6)\}^2+(5-1)^2}\\\)

\(\longrightarrow d =\sqrt{ (-6+6)^2+4^2} \\\)

\(\longrightarrow d =\sqrt{0+4^2} \\\)

\(\longrightarrow d =\sqrt{4^2} \\\)

\(\longrightarrow \red{ d = 4 \ units } \\\)

Hence the radius of the circle is 4 units.

Now we know the standard equation of circle , which is ,

\(\longrightarrow (x-h)^2+(y-k)^2=r^2 \\\)

where ,

On substituting the respective values, we have;

\(\longrightarrow \{ x-(-6)^2\}^2+(y-5)^2 = 4^2 \\\)

\(\longrightarrow \underline{\underline{ \red{ (x+6)^2+(y-5)^2 = 4^2}}}\\\)

This is the required equation of the circle.

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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The values of x and y such that AB is perpendicular to CD will be 19 and 14.5.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

AB and CD intersect at point E.

If measure angle AED equals 6x – 24 and measure angle CEB equals 4y + 32.

Then the values of x and y such that AB is perpendicular to CD will be

6x – 24 = 90

        6x = 114

          x = 19

Then we have

4y + 32 = 90

       4y = 58

         y = 14.5

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Answer:

(7, -2)

Step-by-step explanation:

x + 3y = 1

-3x - 3y = -15

(x-3x) + (3y-3y) = 1-15

-2x + 0 = - 14

-2x = - 14

x = 7

x + 3y = 1

7 + 3y = 1

3y = 1-7

3y = -6

y = -2

Answer:

D: (7 , -2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of x

opposite.

(3)⋅(x+3y)=(3)(1)

−3x−3y=−15

Simplify

3x+9y=3

−3x−3y=−15

Add the two equations together to eliminate x

from the system.

3x+9y= 3

+     −3x−3y=−15

_____________

6y=−12

Divide each term by 6 and simplify.

y=−2

Substitute the value found for y into one of the original equations, then solve for x.

x=7

The solution to the independent system of equations can be represented as a point.

(7,−2)

The result can be shown in multiple forms.

Point Form:

(7,−2)

Equation Form:

x=7, y=−2

I hope this helps!!!!!!!

Answer:

S₇ = 514.75

Step-by-step explanation:

the nth term of a geometric sequence is

\(t_{n}\) = a\(r^{n-1}\)

where a is the first term and r the common ratio

given t₂ = 24 and t₅ = 81 , then

ar = 24 → (1)

a\(r^{4}\) = 81 → (2)

divide (2) by (1) to eliminate a

\(\frac{ar^{4} }{ar}\) = \(\frac{81}{24}\)

r³ = \(\frac{81}{24}\) ( take cube root of both sides )

\(\sqrt[3]{r^{3} }\) = \(\sqrt[3]{\frac{81}{24} }\)

r = 1.5

substitute r = 1.5 into (1) and solve for a

a × 1.5 = 24 ( divide both sides by 1.5 )

a = 16

the sum to n terms of a geometric sequence is

\(S_{n}\) = \(\frac{a(r^{n}-1) }{r-1}\) , then

S₇    = \(\frac{16((1.5)^{7}-1)) }{1.5-1}\)

      = \(\frac{16(17.0859375-1)}{1.5-1}\)

     = \(\frac{16(16.0859375)}{0.5}\) ( divide 16 by 0.5 )

     = 32 × 16.0859375

     = 514.75

Answer:

We have:

R = (2, 2)

S = (5, 4)

RS is the segment that connects R with S.

So RS is just the distance between R and S.

Remember that the distance between two points (a, b) and (c, d) is given by:

\(distance = \sqrt{(a - c)^2 + (b - d)^2}\)

Then the distance between S and R is

\(distance = \sqrt{(5 - 2)^2 + (4 - 2)^2} = \sqrt{3^2 + 2^2} = \sqrt{13}\)

Then:

RS = √13

ii) Now we want to express RS in the form (K, Q)

where K is the magnitude (we already know that it is √13) and Q is the bearing, which is measured with respect to the horizontal axis.

To interpret the bearing, let's look at the image below:

We can use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

where the opposite cathetus is just the difference between the y-values:

Opposite cathetus = 4 - 2 = 2

And the adjacent cathetus is the difference between the x-values:

Adjacent cathetus = 5 - 2 = 3

Then we have:

Tan(θ) = 2/3

If we apply the inverse tangent equation to both sides, we get:

Atan(tan(θ)) = Atan(2/3)

θ = Atan(2/3) = 33.69°

The bearing is 33.69°

then:

RS = (√13, 33.69°)

Answer:

c :)

Step-by-step explanation:

i guessed and got it right <3

Answer:

-227

Step-by-step explanation:

For this question all you need to do is follow order of operations (pemdas) and simplify the equation.

Work:

−10+35−6(32−5(3−5))

=−10+35−6(32−(5)(−2))

=−10+35−6(32−(−10))

=−10+35−(6)(42)

=−10+35−252

=−10+−217

=−227

Answer:

-227

Step-by-step explanation:

-10 (35 - 6 (32 - 5 (3-5)]]

-10 +(35 - 6 (32 - 5 (-2)]]

-10 +(35 - 6 (32 + 10)]

-10 +(35 - 6) (42)]

-10 + (35 - 252)

-10 - 217

=-227