Calcula dos numeros cuya suma sea 191 y su diferencia 67

When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.

Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.

So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.

So, option D is the correct answer.

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Step-by-step explanation:

Given: r=9cm

Volume of sphere=4/3πr^3

=4/3*3.14*9^3

=3052.08 cm^3

Answer:

-0.7

Step-by-step explanation:

add +1.4m on both sides
then you got -1.1 + 0.4 = ?
and -1.1 + 0.4 = -0.7

Answer: It is -0.7

Step-by-step explanation:

-1.1-1.4m+0.4=x-1.4m

Add 1.4m to both sides which should look like this

-1.1-1.4m+0.4+1.4m=x-1.4m+1.4m

then you have to simplify you should have

-1.1+0.4=x

Then you add them which gives you your answer

-0.7

The probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.

Given the poll showed that 53.6% of Americans say they believe that some psychics can help solve murder cases.

We are to find the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.

Let us consider the following events:

Let A be the event that someone believes that some psychics can help solve murder cases and B be the event that someone does not believe that some psychics can help solve murder cases.

Then A and B are complementary events, that is A∩B=∅ (i.e., the events cannot happen at the same time) and A∪B = S (the event space).

Thus we can write P(A) = 53.6% and P(B) = 100% - 53.6% = 46.4%.

Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.

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Answer:

8πcm² = 8pi cm²

Step-by-step explanation:

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

Answer:

8πcm² = 8pi cm²

Step-by-step explanation:

trust

===========================================================

Explanation:

We have four values to pick from {1,3,5,9} and we want to form a three-digit number.

Kick one of those values out, let's say we kick out "9" at the end to get the subset {1,3,5}.

The sum of these remaining values is 1+3+5 = 9 which is a multiple of 3. Therefore three-digit numbers that have any order of 1,3,and 5 will be a multiple of 3.

Eg: 135/3 = 45 exactly.

There are 3*2*1 = 6 such numbers as shown at the very bottom of this solution post.

This is a permutation since the order matters.

Let A = 6 so we can use it later.

----------------

Go back to {1,3,5,9}

Now let's say we kicked "5" out this time.

We go from {1,3,5,9} to {1,3,9}

The digits sum to 1+3+9 = 13 which is not a multiple of 3

No matter how we arrange these digits, we won't get a multiple of 3.

Eg: 139/3 = 46.33 approximately

----------------

Let's go back to {1,3,5,9}. This time we'll kick out "3" from the group.

{1,3,5,9} shrinks to {1,5,9}

Add the values: 1+5+9 = 15 which is a multiple of 3.

Therefore, we get 6 more permutations (refer to the first section for similar steps). Let B = 6 so we can use it later.

Example: 159/3 = 53 exactly

-----------------

Return back to {1,3,5,9} once more. We have one final value to kick out.

Let's remove the "1" to end up with {3,5,9}

Add the values: 3+5+9 = 17 which isn't a multiple of 3, so we ignore this sub-case. It's similar to the 2nd section shown above.

-------------------

Each previous section had us remove exactly one value to have 3 digits leftover. This is a methodical way to guarantee we have looked through all possible cases.

The first case had us kick out 9 so that a permutation of {1,3,5} led to some multiple of 3. There were A = 6 cases for that section.

The third section had {1,5,9} which led to B = 6 more cases.

In total, there are A+B = 6+6 = 12 different three-digit numbers possible if we are only allowed to use {1,3,5,9} without repeats allowed. In other words, all three digits must be different.

-------------------

Check:

Here are the first 6 cases involving 1,3,5

Here are the other 6 cases involving 1,5,9

By applying the concept of transformation, the transformed function g(x) = √[(3/2) · x] is the consequence of applying a stretch factor of 3/2 on the parent function f(x) = √x.

In this question we have a parent function g(x) = √[(3/2) · x] and a transformed function f(x) = √x. Transformations are operations in which parent functions are modified in their relationships between inputs and outputs.

In this case, the difference between f(x) and g(x) occurred because of the application of a operation known as vertical stretch, defined below:

f(x) = g(k · x), k > 0     (1)

Where k is the stretch factor. There is a compression for 0 ≤ k < 1.

By applying the concept of transformation, the transformed function g(x) = √[(3/2) · x] is the consequence of applying a stretch factor of 2/3 on the parent function f(x) = √x. (Right choice: C)

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Answer:

12x -7

Step-by-step explanation:

Answer:

The formula for solving surface area is LxWxH (LengthxWidthxHeight)

And the formula for solving area is LxW (LenghtxWidth)

Step-by-step explanation:

I hope this helps. I didnt really see any pictures for this.

Answer: 1. 60 square centimeters and the volume was 24 cm3

2. Yes, because if you have length, width and height, that's really all the information you need to find out the area, volume, perimeter, surface area, ect!

Step-by-step explanation: Hope this helps! :)

(I had the same question btw)

Answer:

f = 78 , g = 32 , h = 74

Step-by-step explanation:

f and 78° are alternate angles and are congruent , then

f = 78

---------------------------

h and 74° are alternate angles and are congruent , so

h = 74

--------------------------

the sum of the 3 angles in the triangle = 180°

sum the 3 angles and equate to 180

78 + g + h = 180

78 + g + 74 = 180

152 + g = 180 ( subtract 152 from both sides )

g = 28

Answer:

False

Step-by-step explanation:

40c - 300 = 40c + 200

-300 = 200

false

Volume of pyramid = 100 inch^3

Volume in general = base area * Height.

So the height is ==> Volume / base area

H = 100/25 ==> 4 inches

Height of the pyramid = 4 inches

In order to solve the equation

First step Add 5 to both sides

4x-5+5=17+5

4x=22

Second step Divide both sides by 4

the correct answer is D.

( ( 187 / 55 ) * 100 ) - 187 = how much he spent on food

( ( 187 / 55 ) * 100 ) - 187 = $153 spent on food

Answer:

10/10 or 1

Step-by-step explanation:

10/2(25-20)

10/2(5)

10/10 = 1

Answer:

1

Step-by-step explanation:

\(\frac{10}{2(25-20)}\)

\(\frac{10}{2(5)}\)

\(\frac{10}{10}\)

\(1\)

The magnitude of the net electric field at point P due to the particle is 0 . explanation is given as

let us assume that , The charges of the four particles and the distance are given then on understanding the  concept of electric field  at electrostatics concept. on using the concept of the electric field at any given point, then production of  individual electric field by a charge. and we known the concept of superposition law, on applying the law  we  get the value of the electric field in its direction and this shows the determination of   the net electric field at that point.

The magnitude of the electric field,  

E = q * R

where R = The distance of field at  point from the charge, and q = charge of the individual particle

According to the superposition principle, the electric field at a single point due to more than one charges present ,hence on calculation of net electric field  we get the origin of the coordinate system  which is placed at point P and the y-axis is situated and oriented in the direction of the charge,  (passing through the charge, ). The x-axis which  is perpendicular to the y axis, and thus passes through the identical charges, then the  individual magnitudes of an electric field is due to the charges are demonstrated by using the absolute signs of the charges. Now let us assume that the point charge which  being positive i.e  ( q > 0), we can see that the contributions coming from each charge gets cancel to each other. Therefore the net electric field in the direction of the y-axis is given using equation as  E= 0

hence the net electric field is zero .

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Answer:

The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.

Step-by-step explanation:

If the governor of state A's salary is "x" and the governor of state B's salary is "y", then:

\(x = y + 53,745\)

If the total of their salaries is $289,405, then the sum of x and y should be equal to that number.

\(x + y = 289,405\\\)

Applying the first expression on the second allows us to solve for y as shown below.

\(y + 53745 + y = 289405\\2y = 289405 - 53745\\2y = 235660\\y = 117830\)

Using this data on the first expression allows us to solve for the first governo's salary.

\(x = 117830 + 53745 = 171575\)

The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.

Answer:

2x\(\sqrt{15}\)

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = \(\sqrt{4}\)·\(\sqrt{15}\) · \(\sqrt{x^2}\)

This can be simplified to be 2x\(\sqrt{15}\)

Answer: 8575/2

Step-by-step explanation:

The values of the variable are:

x is 45.

y is 18.

z is 18.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

From the figure,

Sin 45 = z / (18√2)

Sin 45 = 1 /√2

So,

1/√2 =z / 18√2

z = 18

Cos 45 = y / (18√2)

1/√2 = y/18√2

y = 18

Tan x = y / z

Tan x = 18/18

Tan x = 1

x = \(tan^{-1}\)1
x = \(tan^{-1}\) tan 45

x = 45

Thus,

x is 45.

y is 18.

z is 18.

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Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

Step-by-step explanation:

L=2W+4

P=2(L+W), using L from above makes this

P=2(2W+4+W)

P=2(3W+4)

P=6W+8

6W=P-8

W=(P-8)/6, since we are told P=26

W=(26-8)/6

W=18/6

W=3 cm, and since L=2W+4

L=2(3)+4

L=6+4

L=10 cm

So the dimensions of the envelope with a perimeter of 26cm is 3cm by 10cm

Step-by-step explanation:

118 is already an integer

Answer:

C

Step-by-step explanation:

34 * 7= 238

34 feet per second, means that we have to mulitply 7 by 34.

Its really simple!

1 second: 34

7 seconds: ?

for example, if we needed 2 seconds we would muliplty by 2, 34 * 2 because we double it, the same way we would solve that, we would solve 34*7

\(Hey\) \(there!\)

\(The\) \(answer\) \(is\) \(238\)

\(We\) \(simply\) \(multiply\) \(34\) \(by\) \(7\):

\(34 * 7 = 238\)

\(Hope\) \(it\) \(helps!\) \(Have\) \(an\) \(amazing\) \(day!!!!!!\)

Answer:

x=1

Step-by-step explanation:

For this problem, we can choose to eliminate either the x values or the y values.

In this case, it would be easier to do y.

We alter the first equation by multiplying by -2 on both sides.

-4x+-6y=-16

Now, we have the equations

-4x+-6y=-16 and 5x+6y=17.

We can see that there is -6y in one equation and 6y in the other, meaning that if we add both equations together, the ys will cancel each other out because they are opposites.

So let's add the equations.

-4x-6y+5x+6y=-16+17

x=1

Answer:

(a) The best answer for residuals plot (a) is:

A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

A fanned pattern in the residuals plot suggests that the linear model is not appropriate because the variability of the residuals increases as the values of the explanatory variable increases. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.

(b) The best answer for residuals plot (b) is:

B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear.

A curved pattern in the residuals plot suggests that the linear model is not appropriate because the relationship between the variables is not linear. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.

In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

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Answer:

47.3 degrees

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

180 - 42.7 - 90 = N

N = 47.3 degrees

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A pair of functions that are inverses of each other is: B. f(x) = 4x³ + 5 and g(x) = ∛[(x - 5)/4].

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

f(x) = y = ∛(x + 3) - 5

x = ∛(y + 3) - 5

x + 5 = ∛(y + 3)

Taking the cube of both sides of the function, we have:

(x + 5)³ = y + 3

g(x) = y = (x + 5)³ - 3 (Not inverse).

For the second option:

f(x) = y = 4x³ + 5

x = 4y³ + 5

x - 5 = 4y³

Dividing both sides of the function by 4, we have the following:

y³ = (x - 5)/4

Taking the cube root of both sides of the function, we have:

g(x) = y = ∛[(x - 5)/4] (Inverse)

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Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

the point is (-2 , -13)

Point slope form is: y - y1 = m(x - x1)

y1= -13

x1= -2

y - -13 = 5 (x - -2)

y +13 = 5(x+2)