statistically significant correlations are unable to show ______.

Answer:

Retrial, Guilty, and Innocent

Step-by-step explanation:

Khan Academy

In 20 years from today, the sample will have half of its current 40,000 radioactive particles, which is 20,000 particles.

Assuming that the radioactive decay of the material follows first-order kinetics, the number of radioactive particles in the sample will decrease exponentially over time. The decay constant λ of the material can be calculated using the half-life t1/2, which is the time it takes for half of the radioactive particles to decay. If we know that the material has 40000 radioactive particles today and that your uncle measured 80000 particles 20 years ago, we can use the following formula:
N(t) = N0 * e^(-λt)
where N(t) is the number of radioactive particles at time t, N0 is the initial number of radioactive particles, and e is the mathematical constant approximately equal to 2.71828. Solving for λ, we get:
λ = ln(2) / t1/2
Assuming a half-life of 10 years (which is typical for many radioactive isotopes), we have:
λ = ln(2) / 10 = 0.0693 year^-1
Using this value of λ, we can find the number of radioactive particles in the sample 20 years from today:
N(20) = 40000 * e^(-0.0693 * 20) = 17236 particles
Therefore, the sample of material will have approximately 17236 radioactive particles in it 20 years from today.
Hi! Based on the information provided, the sample's radioactive particles decreased from 80,000 to 40,000 over 20 years. This means the sample lost half of its particles in 20 years. To find the number of radioactive particles 20 years from today, we'll assume the sample continues to lose half its particles every 20 years.

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3) 0

5) 4 Minutes

4) 92,188,000

Question 3:

All numbers multiplied by 0 will always be 0.

So, a(110) × 0 = 0

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Question 5:

100 ÷ 2 = 50 (#of times ÷ # of times)

50 × 5 = 250 (# of times × # of seconds)

250 ÷ 60 = 4.1 (#of total seconds ÷ seconds in a minute)

4.1 Rounded to the nearest tenth is 4.

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

:)

Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

Use the given information to set up a proportion and solve for the unknown sales amount:

Commission earned / Sales amount = Commission rate

$21,000 / $300,000 = 0.07

Now we can use this proportion to find the sales amount needed to earn $35,000:

$35,000 / 0.07 = $500,000

Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

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Answer:

I think it is the last answer, \(\sqrt{2}\) and 1.23459876567

Answer:

Last one

Step-by-step explanation:

For something to be 'irrational', you shouldn't be able to put it in a fraction. You can know if something is irrational because when you look at it in decimal form and the numbers after the decimal point are random and do not follow a pattern (ie 276276276...).

Hence that is why pi is irrational as well because the numbers after the dec. point are: 3.1415626.... there is no visible pattern

Step-by-step explanation:

A line can be translated over to form a line. Since the line has the same slope, the only thing different is y intercept. Since a Translation is a rigid transformation, they perseve distance. So this will be true for all lines.

Key Concept: The distance between two parallel lines and is the difference in y intercepts.

10. The y intercept is 7 and -2

So the distance is

\(7 - ( - 2) = 9\)

or

\( - 2 - 7 = - 9\)

Rember Distance is a scalar, so it is positve.

So we take absolute value of both answer

\( |9| = 9\)

\( | - 9| = 9\)

So the answer for 10 is 9.

11. The distance is 3 because |4-1|=3 or |1-4|=3 so the distance is 3.

12. The distance is 2

13.The distance is 8.

The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.

Calculate the volume of water displaced:

The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.

Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:

Volume = π * radius^2 * height

Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).

Therefore, the volume of water displaced by the bug is:

Volume = π * (0.005 m)^2 * 0.005 m

Calculate the weight of the water displaced:

The weight of the water displaced is equal to the buoyant force acting on the bug.

Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

So, the weight of the water displaced is:

Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²

Calculate the maximum mass of the bug:

The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:

Maximum mass = Weight of water displaced / acceleration due to gravity

Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²

Now, let's plug in the values and calculate the maximum mass of the bug:

python

import math

radius = 0.005  # in meters (5 mm)

height = 0.005  # in meters (5 mm)

density_water = 1000  # in kg/m³

acceleration_due_to_gravity = 9.8  # in m/s²

volume = math.pi * radius**2 * height

weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity

maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity

maximum_mass_grams = maximum_mass * 1000  # converting to grams

print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")

Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

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Answer:

Equation Form: x=−2,y=−2

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

3/2x+1=−x−4

Solve 3/2x+1=−x−4

for x. x=−2

Evaluate y when x=−2.

y=−2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,−2)

The result can be shown in multiple forms.

Point Form:

(−2,−2)

Equation Form:

x=−2,y=−2

Answer:

(-5,1)

Step-by-step explanation:

(x1 + x2/2, y1 + y2/2)

[-3 + (-7)/2 , 8 + (-6)/2]

(-10/2 , 2/2)

(-5,1)

Answer:

x=17.2

Step-by-step explanation:

here a picture of how i did it cause its hard to expialn

The 90% two-sided confidence interval for the lady's average weight is [57.52, 62.48] kg.

Given data: A lady on a diet measures her weight every week.

The sample standard deviation is 0.6 kg, the number of measurements is 7.

To construct a 90% two-sided confidence interval, we use the following formula:

\($$\bar{x}-t_{\frac{\alpha}{2}, n-1}\frac{s}{\sqrt{n}} \leq \mu \leq \bar{x}+t_{\frac{\alpha}{2}, n-1}\frac{s}{\sqrt{n}}$$where x\) is the sample mean.

s is the sample standard deviation.

n is the sample size.

\($t_{\frac{\alpha}{2}, n-1}$\) is the t-score.

Here, \($\alpha=1-0.90=0.10$\) (since 90% is the confidence level), and\($n-1=7-1=6$.\)

From the t-distribution table, the t-score for a 90% confidence interval with 6 degrees of freedom is

\($t_{0.05, 6}=1.943$.\)

We can substitute the given values in the formula:

\($$\bar{x}-t_{\frac{\alpha}{2}, n-1}\frac{s}{\sqrt{n}} \leq \mu \leq \bar{x}+t_{\frac{\alpha}{2}, n-1}\frac{s}{\sqrt{n}}$$$$\bar{x}-1.943\frac{0.6}{\sqrt{7}} \leq \mu \leq \bar{x}+1.943\frac{0.6}{\sqrt{7}}$$\)

Since we don't have the sample mean, we can assume that the lady's average weight is 60 kg (just for the purpose of finding the confidence interval).

\($$60-1.943\frac{0.6}{\sqrt{7}} \leq \mu \leq 60+1.943\frac{0.6}{\sqrt{7}}$$$$57.52 \leq \mu \leq 62.48$$\)

Therefore, the 90% two-sided confidence interval for the lady's average weight is [57.52, 62.48] kg.

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(i) lim [2 F(x) - 3 G(x)] = 5

(ii) lim [F(x)]³ + lim [G(x)]² = 9

In the given problem, we are asked to find the limits of two expressions involving the functions F(x) and G(x).

In part (i), we have the expression 2 F(x) - 3 G(x). To find its limit, we evaluate the individual limits of F(x) and G(x) and then substitute them into the expression. The limit of F(x) is given as 3, and the limit of G(x) is given as -4. Substituting these values into the expression, we get 2(3) - 3(-4) = 5.

In part (ii), we are asked to find the limit of [F(x)]³ + [G(x)]². Again, we evaluate the individual limits of F(x) and G(x) and substitute them into the expression. The limit of F(x) is given as 3, and the limit of G(x) is given as -4. Substituting these values into the expression, we get (3)³ + (-4)² = 9.

These calculations are based on the Limit Principles, which state that the limit of a sum or difference of functions is equal to the sum or difference of their limits, and the limit of a constant times a function is equal to the constant times the limit of the function.

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Step-by-step explanation:

I'm not sure what you're looking for exactly, but it translates to this equation

4x + 7 = 31

5 square root - 2 square root is 0.821854415 and it is rational.

Given,

5 square root - 2 square root

That is,

√5 - √2

We have to find this is rational or not.

First we have to solve the equation:

√5 - √2 = 0.821854415

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q0). However, both of the numbers are genuine and can be shown on a number line.

So, here 0.821854415 is a rational number.

That is, 5 square root - 2 square root is  rational.

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Answer: 2

Step-by-step explanation:

All you need to do is plug in 3 for x

2(3)-4

6-4

=2

Answer:

40π

Step-by-step explanation:

cricumference: 2πr (or πd)

2π(20) = (40)π ≈ 125.66

Answer: 40

Step-by-step explanation:

First, you have to multiply the radius by 2 which gives us 40. Then, 40 x 3.14 (pi) = 125.6 After, you divide 125.6 by 3.14 which once again gives you 40. :)

Answer:

Step-by-step explanation:

You want to reverse the algebra and solve for y. First you want to subtract the 'a' to both sides.

x - a = -2by^2

Divide by -1 on both sides

-x + a = 2by^2

Divide by 2b on both sides

(-x + a)/2b = y^2

Take the square root of both sides

\(\sqrt{(-x+a)/2b}=y\)

Answer:

14°

Step-by-step explanation:

Supplementary angles add up to 180° so subtract 166 from 180.

a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.

b) T(A)=B, if B be any element of M₂

c) Range of T=={A∈ \(M_{ 2*2}\)/\(A^{T}\)=-A}

A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.

A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.

Define T: \(M_{ 2*2}\) ⇒ \(M_{ 2*2}\) by T(A)=A+\(A^{T}\)

a) Let T is a linear transformation

Consider K₁A₁+K₂A₂ ∈  \(M_{ 2*2}\)

T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)\(( K₁A₁+K₂A₂)^{T}\)

= K₁T(A₁)+K₂T(A₂)

T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)

Therefore, T is a linear transformation.

b) Let B∈ \(M_{ 2*2}\) such that \(B^{T}\)=B

Therefore, B is a symmetric matrix.

Let A=(1/2)B∈ \(M_{ 2*2}\)

T(A)=A+\(A^{T}\)

=(1/2)B+\((1/2B)^{T}\)

T(A)=B

A=(1/2)B such that T(A)=B

c) Range of T is the set of B in  \(M_{ 2*2}\), \(B^{T}\)=B

T( \(M_{ 2*2}\))={B∈ \(M_{ 2*2}\)/ \(B^{T}\)=B}

d) Kernel of T={A∈ \(M_{ 2*2}\)/T(A)=0)

={A∈ \(M_{ 2*2}\)/A+\(A^{T}\)=0}

={A∈ \(M_{ 2*2}\)/\(A^{T}\)=-A}

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Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.

T is a linear transformation, therefore demonstrate it.

b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.

c) Explain the T kernel.

a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.

Additions: T(A+B) = A+B+A+B T = A+B+A T +B

T = (A + A T ) + (B + B T ) = T(A) + T (B).

Scalar multiplication

T(c · A) = (c · A)

T = c · A

T = c · T(A) (A).

b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.

T = \s1 \s2 \sB + \s1 \s2 \sB = B.

c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.

If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

a and b*

Step-by-step explanation:

it's kinda self explanatory. she isn't very good at communicating with others. she is rude and disrespectful.

Answer:

Option 4

Step-by-step explanation:

You divide 1/2 by the whole problem

5x-15=20

and go from there its too long to explain but its option 4

Answer:

she can buy 0 to 12 bags but no more

Step-by-step explanation:

The axis of symmetry is the one in option D, x = 2-

For a quadratic equation whose vertex is (h, k), the axis of symmetry is:

x = h

Here we have the quadratic equation:

y = −3(x − 2)² +1

We can see that the vertex is (2, 1) because the equation is in vertex form, and thus, we can conclude that the axis of symmetry of the equation is:

x = 2

So the correct option is D.

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a = Lw

Lw = 1/2

w = (1/2)/L

---

L = 3/8

---

w = (1/2)/L

w = (1/2)/(3/8)

w = (1/2)*(8/3)

w = (1/1)*(4/3)

---

answer:

w = 4/3 inch

Answer: 4/3

Step-by-step explanation: The formula for area of a rectangle is width x length. so A = w times l. Plus in 1/2 for area and 3/8 for length. 1/2 = w x 3/8. Now, to get w by itself, divide both sides by 3/8. 1/2 divided by 3/8 is 4/3. Also, we can prove this by saying that 3/8 times 4/3 is 12/24 which is 1/2.

The ratio of the distance traveled to the amount of time spent traveling may be used to calculate speed.

The average speed of the aircraft when it first takes off is roughly 110.8 mph

Generally, 145 miles separate Portland, Oregon, and Seattle, Washington. This is the distance between the two cities.

The reduction in travel time that results from an increase in speed of 20 miles per hour is equal to minutes.

The required beginning speed of the aircraft, denoted by the letter v;

t=145/v

t-(12/60)=45/v+20

Therefore;

\(\frac{145}{v}-\frac{12}{60}=\frac{145}{v+20}\)

Which gives;

\(\frac{145}{v+20}-\frac{145}{v}+\frac{12}{60}=0\)

Therefore;

0.2·v² + 4·v - 2,900 = 0

v ≈ ±110.8 mph

The initial average speed of the airplane,

v≈ ± 110.8 mph

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Answer:56

Step-by-step explanation: