What is the best estimate of the correlation for the data set

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

Read more about logarithm at:

https://brainly.com/question/20785664

#SPJ1

A: The coordinates of the point R' are (- 6, 21).

B: The coordinates of the point T' are (1, 3).

In this question we must make use of rigid transformations to find the location of new points, rigid transformations are transformations used in geometric loci such that Euclidean distance is conserved. In this case, we need to use a kind of rigid transformation known as dilation, which is defined below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]      (1)

Where:

Part A - If we know that O(x, y) = (0, 0), R(x, y) = (- 2, 7) and k = 3, then the coordinates of point R' are:

R'(x, y) = (0, 0) + 3 · [(- 2, 7) - (0, 0)]

R'(x, y) = (- 6, 21)

Part B - If we know that O(x, y) = (- 2, 7), T(x, y) = (4, - 1) and k = 1/2, then the coordinates of point T' are:

T'(x, y) = (- 2, 7) + (1 / 2) · [(4, - 1) - (- 2, 7)]

T'(x, y) = (- 2, 7) + (1 / 2) · (6, - 8)

T'(x, y) = (- 2, 7) + (3, - 4)

T'(x, y) = (1, 3)

To learn more on dilations: https://brainly.com/question/13176891

#SPJ1

Answer:

[tex]\frac{15}{49}[/tex]

Step-by-step explanation:

[tex]\frac{3}{14} /\frac{7}{10} =\frac{3}{14} *\frac{10}{7} = \frac{3}{7} *\frac{5}{7} =\frac{15}{49}[/tex]

El volumen que queda entre la esfera y el cubo es:  30.49cm^3

El volumen sobrante será simplemente la diferencia entre el volumen del cubo y el volumen de la esfera.

Para el cubo que tiene una arista de 4cm, el volumen es:

V = (4cm)^3 = 64 cm^3

Para la esfera con un diametro de 4cm, el radio es:

R = 4cm/2 = 2cm

Y el volumen será:

V' = (4/3)*3.141592654*(2cm)^3 = 33.51 cm^3

El volumen que queda entre la esfera y el cubo es:

V - V' = 64 cm^3 - 33.51 cm^3 = 30.49cm^3

Sí quieres aprender más sobre volumenes:

https://brainly.com/question/1972490

#SPJ1

The solution to the equation as given in the task content is; x = -3.47.

It follows from the task content that the equation given is; (43/7÷ x+32/9) ÷25/6=4/3

(43/7÷ x+32/9) = 25/6 × 4/3

(43/7÷ x+32/9) = 100/18

x +32/9 = 43/7 ÷ 100/18

x + 32/9 = 774/700

x = 774/700 - 32/9

x = -3.47.

Read more on equation solution;

https://brainly.com/question/25678139

#SPJ1

The series of fractions is 1, 2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.

The string lengths are fractions whose numerators are powers of 2 and denominators are powers of 3, and the fractions are larger than 1/2 but smaller than 1.

Some powers of 2 are:

2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8, 2⁴ = 16, 2⁵ = 32, 2⁶ = 64, 2⁷ = 128, 2⁸ = 256, 2⁹ = 512, 2¹⁰ = 1024, 2¹¹ = 2048, 2¹² = 4096, 2¹³ = 8192, 2¹⁴ = 16384,  2¹⁵ = 32768, 2¹⁶ = 65536, and 2¹⁷ = 131072.

Some powers of 3 are:

3⁰ = 1, 3¹ = 3, 3² = 9, 3³ = 27, 3⁴ = 81, 3⁵ = 243, 3⁶ = 729, 3⁷ = 2187, 2⁸ = 6561, 3⁹ = 19683, 3¹⁰ = 59049, and 3¹¹ = 177147.

The fractions, for which the numerator is a power of 2, the denominator is a power of 3, and the value is between 1/2 and 1 are:

2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.

Thus, the series of fractions is 1, 2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.

Learn more about powers at

https://brainly.com/question/10873737

#SPJ1

Answer: 4/7

Step-by-step explanation:

Slope = Rise/Run = (7-3)/(9-2) = 4/7

Answer:

4/7

Step-by-step explanation:

The formula to find the slope is: (change in y)/(change in x)

Or also: Rise/Run

The change in y is: 3 --> 7 which is +4

The change in x is: 2 --> 9 which is +7

So the (change in y)/(change in x) will be 4/7.

Since 4/7 cannot be simplified further, that is our final answer.

Answer:

[tex](17x)^{\frac{2}{4}}[/tex]

Step-by-step explanation:

There's not much work to show for this problem, but I'll explain it for you

Use the exponent rule for roots to combine the 4 and the 2 like a fraction

2 on the top and 4 on the bottom

[tex](17x)^{\frac{2}{4} }[/tex]

That's it!  Pretty easy

Good Luck!

pls mark brainliest

The quartic equation behind the graph is y = - 2 · x⁴ + 4 · x³ + 6 · x² - 8 · x - 8.

Quartic functions are fourth grade polynomials and according to the fundamental theorem of algebra, such kind of expressions have at least two real roots and at most four real roots. The graph of the picture shows a polynomial with two roots of multiplicity 2: x₁ = - 1, x₂ = 2.

y = a · (x + 1)² · (x - 2)²      (1)

Where a is the leading coefficient.

If we know that (x, y) = (0, 4), then the leading coefficient of the polynomial is:

4 = a · (0 + 1) · (0 - 2)

4 = - 2 · a

a = - 2

Then, the quartic equation is equal to:

y = - 2 · (x + 1)² · (x - 2)²

y = - 2 · (x² + 2 · x + 1) · (x² - 4 · x + 4)

y = - 2 · [(x² + 2 · x + 1) · x² + (x² + 2 · x + 1) · (- 4 · x) + (x² + 2 · x + 1) · 4]

y = - 2 · (x⁴ + 2 · x³ + x² - 4 · x³ - 8 · x² - 4 · x + 4 · x² + 8 · x + 4)

y = - 2 · (x⁴ - 2 · x³ - 3 · x² + 4 · x + 4)

y = - 2 · x⁴ + 4 · x³ + 6 · x² - 8 · x - 8

To learn more on quartic equations: https://brainly.com/question/25285042

#SPJ1

Answer:

1.

2. Additive Identity

3. Associative Property

4. Multiplication Inverse Property

5. Multiplication Property of 0

6. Commutative Property

7.

8.

Step-by-step explanation:

The probability that the person is a man or heavy smoker is 621 / 1124.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability that the respondent is a man or heavy smoker can be determined by adding the probability that the respondent is a man and the probability that the respondent is a heavy smoker together.

The probability that the person is a man or heavy smoker = (number of men / total number of respondents) + (number of heavy smokers / total number of respondents)

(531 / 1124) + (90 / 1124) = 621 / 1124

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Since L₂ is twice as long as L₁, the length of L₁ should be 12' and 6 3/4".

First of all, we would convert the value of the overall length in feet to inches as follows:

1 feet = 12 inches

37 × 8 1/4 feet = X inches

Cross-multiplying, we have:

X = 1809/4 inches.

Since L₂ is twice as long as L₁, we have:

L₂ = 2L₁

Also, the overall length is given by:

T = 2L₁ + 2L₂

T = L₂ + 2L₂

T = 3L₂

1809/4 = 3L₂

L₂ = 1809/4 × 1/3

L₂ = 1809/12

L₂ = 150.75''

L₂ = 12' and 6 3/4".

Read more on receptacle outlets here: https://brainly.com/question/14604591

#SPJ1

Answer:

If line EF is parallel to line CD, it will not intersect plane L.

The interest due on financing option is $307.50

What is interest on financing?

Interest on financing is the extra amount paid by the couple when their total payments are compared to the cash price of $6,230.

The total payments would be the 25% down payment plus the sum of the twelve monthly payments of $415 each

Down payment=cash price*25%

Down payment=$6230*25%

Down payment=$1,557.50

Total monthly payments=amount of each monthly payment*number of monthly payments

monthly payment=$415

number of monthly payments=12

Total monthly payments=$415*12

Total monthly payments=$4,980

Total payment under financing=Down payment +Total monthly payments

Total payment under financing=$1,557.50+$4,980

Total payment under financing=$6,537.50

Interest=$6,537.50-$6,230

Interest on financing=$307.50

Find out more on down payment on: brainly.com/question/1698287.

#SPJ1

Complete question:

Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415. How much interest did they pay due to financing?

The subsets of the set of novels is given as follows:

{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.

Suppose we have a set with cardinality n, that is, with n elements. This set will have 2^n subsets, which are all the possible combinations with the elements of the set, including the empty set.

In this problem, the novels are given as follows:

Light, Zami, and Money.

Hence the possible subsets are given as follows:

{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.

With is the list that is asked for this problem, which are the subsets of the set of novels.

More can be learned about the sub-sets of a set at https://brainly.com/question/2000547

#SPJ1

Split up [0, 16] into 4 equally-spaced subintervals of length [tex]\frac{16-0}4=4[/tex],

[0, 16] = [0, 4] U [4, 8] U [8, 12] U [12, 16]

with midpoints 2, 6, 10, and 14, respectively.

Then with the midpoint rule, we approximate the integral to be about

[tex]\displaystyle \int_0^{16} \sin(\sqrt x) \, dx \approx 4 \left(\sin(\sqrt2) + \sin(\sqrt6) + \sin(\sqrt{10}) + \sin(\sqrt{14})\right) \approx \boxed{4.1622}[/tex]

Answer:

R = 47.49 kg

Step-by-step explanation:

To find answer, I will put things in terms of Raju's mass

J =  R + 10.48

J - 9.23  = F       or   R + 10.48   - 9.23   = F  

F                              +                 J                +   R = 154.2

(R + 10.48- 9.23)      +     (R+10.48 )            +   R  = 154.2    

3R = 142.47

R=47.49 kg

The upper estimate and lower estimate become R5 = 16 and L5 = −64

According to the statement

we have given that the some values of the increasing function f and we have to find the lower estimate and upper estimate values.

So, For this purpose, we know that the

the values of x is 10 14 18 22 26 30

And the values of f(x) is −14 −8 −1  1  4  7

So,

Δx = 4 because

L5 = 4(−12 − 6 − 2 + 1 + 3) = −64,

And

R5 = 4(−6 − 2 + 1 + 3 + 8) = 16.

And from these functions we see that the

The function being increasing, the Riemann sum with left endpoint L5 = −64 is a lower estimate,

And while the sum with right endpoints R5 = 16 is an upper estimate.

So, The upper estimate and lower estimate become R5 = 16 and L5 = −64

Learn more about Riemann sum here

https://brainly.com/question/84388

#SPJ1

Answer:

Step-by-step explanation:

(1400x14.5x5%) + 1400 =2415

Answer: 14.5 months

Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

The answers to the question are given as x²y + 24x +16y and 87

(2xy + 24, x² + 16)

We have to check in order to be sure that the vector that we have here is a gradient field

we have fx = 2xy + 24 and fy = x² + 16

Such that we would have x²y + 24x +g(y)

for f(y) g' = 16 = 16 + c

Given that there is no lose of generality, we are going to have the following where

x²y + 24x +16y

b. We have to solve this oart by making use of the fundamental theory of integrals

f2,4 = 4*4 + 24*2 + 16*4

= 16 + 48 + 64

= 128

f1,1 = 1*1  + 24*1  + 16*1

= 1 + 24 + 16

= 41

128 - 41 = 87

Read more on vector field here:

https://brainly.com/question/14288288

#SPJ1

Answer:

3:26 to be on time!

Step-by-step explanation:

If you leave your house at 3:26 am and then walk 34 minutes it will be 4 am

once you get to work.

The identity of  sin²Ф + cos²Ф  = 1 is verified below

Trigonometry ratio can be evaluated by following the laid down rules with the the use of table and calculator

Given that tan Ф =  1/√5

Where Tan Ф = Opposite / adjacent

We can calculate the hypotenuse by using Pythagoras theorem

Hyp² = 1² + (√5)²

Hyp² = 1 + 5

Hyp = √6

sin Ф = opp / hyp

sin Ф = 1/√6

sin²Ф = 1/6

cos Ф = adj / hyp

cosФ = √5 / √6

cos²Ф = 5/6

sin²Ф + cos²Ф =  1/6 + 5/6

sin²Ф + cos²Ф  = 6/6

sin²Ф + cos²Ф  = 1

Therefore, the identity of  sin²Ф + cos²Ф  = 1 is verified.

Learn more about Trigonometry here: https://brainly.com/question/24349828

#SPJ1

The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.

Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.

Total cost of baking p pizzas with brick oven = A =  p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).

Total cost of  baking p pizzas with electric oven = B =  p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).

B = A - 1 (as using electric oven saves $1 per day, as given)

Thus, we get:

2p + 10 = 0.8p + 20

Learn more about equations:
https://brainly.com/question/2972832
#SPJ1

Step-by-step explanation:

the total sale price for the magazines were

2×4.95 = $9.90

so,

100% = 9.9

1% = 100%/100 = 9.9/100 = 0.099

6.75% = 6.75×1% = 6.75×0.099 = 0.66825 ≈ $0.67

so, he paid in total

$9.90 + $0.67 = $10.57

Answer:

matrices can be added together if both have the same order

Addition is both commutative and associative

matrices can be multiplied together if the number of column in the right hand matrix equals the number of row in the left hand matrix

Answer:

Step-by-step explanation:

You worked 16 hours and 45 minutes

5 1/2 = 5 hours and 30 minutes

6 3/4 = 6 hours and 45 minutes

4 1/2 = 4 hours and 30 minutes

Add the hour and minutes.

5 hours 30 min + 4 hours 30 min = 10 hours

10 hours + 6 hours 45 min = 16 hours and 45 minutes

The function of the S&P Capital IQ Excel plug-in allows users to extract company data directly from CapIQ’s database and calculate the desired financial metrics using the CapIQ formulas is; Formula Builder

S&P Capital IQ Excel plug is a tool that helps to provide access to financial data, news and analytics for real estate investment trusts (REITs) including other industry data on bank & thrifts, financial services, insurance, real estate and other markets.

Now, when the Excel Plug-in has been installed, a new toolbar will be

available in Excel. This toolbar is called formula builder and it is useful for the following use in  S&P Capital;

Read more about Financial Tool at; https://brainly.com/question/14364696

#SPJ1

The graph of the parabola can be seen in the image below.

We need to find some points on the parabola, and then draw a curve that connects them.

On the graph you already have the x-intercepts, so you already have two points.

Now let's get another point which is the vertex.

For our parabola:

[tex]y = -x^2 + 10x - 24[/tex]

The vertex is at:

[tex]x = -10/(2*-1) = 5[/tex]

Evaluating in x = 5 we get:

[tex]y = -5^2 + 10*5 - 24 = 1[/tex]

So we also have the point (5, 1), now we can just connect the points and get the parabola:

If you want to learn more about parabolas:

https://brainly.com/question/4061870

#SPJ1