A certain substance has a half life of 1 hour. If you start with 3000 grams of the substance, how much will you have in 1 hour?

Information for use to find out if a source is credible when researching the health benefits of standing desks study sample size and article publication date is study sample size and article publication date.

Study sample size is an important factor in determining the credibility of research because a larger sample size increases the power of the study and reduces the likelihood of random error.

Article publication date is also important because research on a topic can become outdated over time and newer studies may have different or more robust findings.

A website popularity or positive product reviews do not necessarily indicate the credibility of the source or the validity of the research. A friend's story about her standing desk is also not considered a credible source of information in scientific research.

Learn more about Study Sample Size here:

https://brainly.com/question/30124310

#SPJ4

Answer:

Formula of reflection the y axis is

P(x,y)→P'(-x,y)

Now

By using formula

E(1,3)=E'(-1,3)

F(1,0)=F'(-1,0)

P(4,2)=P'(-4,2)

R(2,0)=R'(-2,0)

Step-by-step explanation:

The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

For more such questions on simple events, click on:

https://brainly.com/question/10346457

#SPJ8

Answer:

60 ft

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

c = √625

c = 25

total distance = 20 ft + 15 ft + 25 ft = 60 ft

  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

Learn more about regression model here
https://brainly.com/question/31079962



#SPJ11

The correct option is the standard deviations of the variables.

What is correlation?

Any statistical relationship between two random variables or bivariate data, whether causal or not, is referred to in statistics as correlation or dependence.

Correlation is a term used to describe the linear relationship between two entities. When using a correlation tool, the variables must be present in quantities of two or more to test their relationship (degree of association).

In order to scale the measurement between two variables connected to a similar sample, the standard deviation measures dispersion.

The variables' standard deviations are the best choice as a result.

Option involving the standard errors of the variables is incorrect because standard error, which stands for standard deviation, determines the relationship between dependent and independent variables.

Option involving the coefficients of variation of two variables is incorrect because the coefficient expressing standard deviation and mean ratio determines how much variation there is.

Option The means of the variables are incorrect because they are not a scale for determining the correlation between two variables.

Hence, the correct option is the standard deviations of the variables.

To know more about correlation, click on the link

https://brainly.com/question/2088651

#SPJ4

Complete question:

The correlation between two variables related to the same sample is a scaled quantitative measure. What is used to scale this measurement?

- the standard deviations of the variables

- the standard errors of the variables

- the coefficients of variation of the two variables

- the means of the variables

Answer:

x^3-6

Step-by-step explanation:

yah

Answer:

\(x^3 - 6\)

Step-by-step explanation:

Subtract six from a number cubed

Write it

____________________________

We need to take two parts of this sentence here.

"Number cubed" and "Subtract six from"

When a number is cubed, it means that it is to the third exponent.

Meaning that the unknown number is \(x^3\).

Now subtract six from is that six is being subtracted from the number after the said number being cubed.

Therefore :

\(x^3 - 6\)

Answer:

If a line segment is a diameter, then it is the longest chord in a circle.

Line segment AB is a diameter which is the longest chord.

Step-by-step explanation:

A  line segment joining any two points on a circle is called a chord of that circle. A chord that passes through the center of the circle is called a diameter of that circle. The length of the diameter is equal to 2* radius. We may draw unlimited number of chords in a circle but it can be verified by measurement that the one passing through the center is the longest. Hence it maybe concluded that the diameter of the circle is the greatest chord.

Answer:

The slope is 5/3

Step-by-step explanation

The slope formula is \(\frac{rise}{run}\)

If you take 2 points on the line, the rise is 5 and the run is 3.

The length of the segment A'A is 18 units

The length of the segment B'B is 8 units

From the question, we have the following parameters that can be used in our computation:

The similar triangle

Using the ratio of corresponding sides, we have

(AA' + 12)/20 = 12/8

So, we have

AA' + 12 = 20 * 12/8

AA' + 12 = 30

Evaluate

AA' = 18

Here, we have

(BB' + 6)/20 = 6/8

So, we have

BB' + 6 = 20 * 6/8

BB' + 6 = 15

Evaluate

BB' = 8

Hence, the length is 8 units

Read more about triangles at

https://brainly.com/question/32215211

#SPJ1

Answer:

I believe it should be 3 23

Answer:

  2.5

Step-by-step explanation:

The rate of change can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find ...

  m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.

Answer:

Solve through trigonmetry:

Im writing the 3 root as 3 because my computer doesnt have the root...though i'll add it in the calculator

For b

Tan-theta= P/B

tan45= 3/b

btan45=3

b=3/tan45

b= 1.73

For a

Sin-theta= P/H

sin45= 3/a

asin45=3

a= 3/sin45

a= 2.45

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence to support the engineer's claim. Hence, the engineer's claim is false.

To answer this question, we need to conduct a hypothesis test with a significance level of α = 0.05. The null hypothesis (H0) is that the true mean commute time is equal to or greater than 25 minutes, while the alternative hypothesis (Ha) is that the true mean commute time is less than 25 minutes. We can use a one-sample t-test to test this hypothesis, where the test statistic is calculated as:
t = (sample mean - hypothesized mean) / (standard deviation/sqrt (sample size))
t = (24.6 - 25) / (13 / sqrt(1923))
t = -1.53

Using a t-distribution table with degrees of freedom (df) equal to the sample size minus 1 (df = 1922), we find that the p-value for this test is 0.064. Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence to support the engineer's claim that the mean commute time is less than 25 minutes. The deviation from the hypothesized mean is -0.4 which is less than 1 standard deviation, hence we cannot say with confidence that the mean commute time is less than 25 minutes.

Learn more about p-value here: brainly.com/question/30182084

#SPJ11

Answer: lolbmfb and Dickerson’s testified ok if do add bcfgvdr

Step-by-step explanation:

The values of (x - 1/x) = √32 and  x² + 1/x² = 34.

Algebraic identities are mathematical equations or expressions that hold true for all values of the variables involved.

Using some algebraic identities we can solve the given problem. Here are some commonly used algebraic identities:

=> (a + b)² = a² + b² + 2ab

=> (a - b)² = a² + b² - 2ab

Here we have

=> x+1/x = 6  

Do squaring on both sides

=> (x + 1/x)² = 36

As we know (a + b)² = a² + b² + 2ab

=> x² + 1/x² + 2x (1/x)  = 36  

=> x² + 1/x² + 2 = 36  

=> x² + 1/x²  = 36 - 2

=>  x² + 1/x² = 34  ---- (1)

As we know (a - b)² = a² + b² - 2ab

=> (x - 1/x)² = x² + 1/x² - 2 x(1/x)

=> (x - 1/x)² = x² + 1/x² - 2  

=> (x - 1/x)² = 34 - 2     [ From  (1) ]

=> (x - 1/x) = √32

Therefore,

The values of (x - 1/x) = √32 and  x² + 1/x² = 34.

Learn more about Algebraic identities at

https://brainly.com/question/30283894

#SPJ9

Answer:

3x - 15

Step-by-step explanation:

3 x 5 = 3x then 3x5 is 15 so 3x - 15

Answer:

Symptoms of a kidney stone and an abdominal aortic aneurysm can be very much alike. One condition is painful and annoying, but the other can be fatal if not treated promptly. So it's vital for nurses to know when and how to assess for a potential aneurysm even if the patient presents with symptoms that suggest a kidney stone. Knowing the difference could be a matter of life or death.

Step-by-step explanation:

i hope this helps sorry if it is wrong tried my best

The series Σn=1 en, where en = 3 + cos(n), diverges since the terms oscillate indefinitely between 2 and 4, without approaching a specific value or converging to a finite sum.

The series Σn=1 en, where en = 3 + cos(n), is a series composed of terms that depend on the value of n. To discuss its convergence or divergence, we need to examine the behavior of the terms as n increases.

The term en = 3 + cos(n) oscillates between 2 and 4 as n varies. Since the cosine function has a range of [-1, 1], the term en is always positive and greater than 2. Therefore, each term in the series is positive.

When we consider the behavior of the terms as n approaches infinity, we find that en does not converge to a specific value. Instead, it oscillates indefinitely between 2 and 4. This implies that the series Σn=1 en does not converge to a finite sum.

Based on this analysis, we can conclude that the series Σn=1 en diverges. The terms of the series do not approach a specific value or converge to a finite sum. Instead, they oscillate indefinitely, indicating that the series does not have a finite limit.

Learn more about series

brainly.com/question/30457228

#SPJ11

Answer:

x=60+70=130(exterior angle of a triangle is equal to the sum of two opposite interior angle)

Answer:

By Pythagoras theorem ,

H^2 = P^2 + B^2

H^2 = 4^2 + 3^2

H^2 = 16 + 9

H^2 = 25

H = 5

therefore , value of x = 5

hope that helps uh..☺

Answer:

x = 5

Step-by-step explanation:

Since it's a right triangle, you can use Pythagorean Theorem.

\(a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x\)

Answer:

\(a = \frac{1}{2} \\ b = - 3 \\ c = - 2\)

Step-by-step explanation:

The explanation is in the picture!

5 1/3 is 64/12 in it's simplest form as a mixed number.

Hope it helps you out! Good luck. :)

Answer:

16/3

That's the answer.

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

To learn more on triangle click:

brainly.com/question/29126067

#SPJ1

Answer:

k = -3 or 5

Step-by-step explanation:

The given parameters are;

The line extends from points (-1, 1) to point (2, k)

The length of the line = 5 units

The formula for the length, l, of a line given its coordinates can be  found by the following formula;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Therefore, we have;

\(5 = \sqrt{\left (k-1 \right )^{2}+\left (2-(-1) \right )^{2}}\)

Which, by squaring both sides, gives;

25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²

25 = (k - 1)² + 3² = k² - 2·k + 1 + 9

25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15

0 = k² - 2·k - 15

0 = (k +3) × (k - 5)

Therefore, k = -3 or 5

When k - -3, we have;

\(\sqrt{\left ((-3)-1 \right )^{2}+\left (2-(-1) \right )^{2}}= \sqrt{(-4)^2+3^2} = \sqrt{16 + 9} = \sqrt{25} = 5\)

When k = 5, we have;

\(\sqrt{\left (5-1 \right )^{2}+\left (2-(-1) \right )^{2}}= \sqrt{4^2+3^2} = 5\)

Answer:

Mindy=191

Amy=299

Step-by-step explanation:

first you want to divide $490 in half to see what each person has. Thats 245 and since Amy has $54 more, you minus 54 from 245 to get 191. So while Mindy has 191, Amy has 299

The solution to the simultaneous equation is x = -1/2 and y = √71 / 2

What is a Linear Expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.

For example, t² is a variable raised to the second power, but t is a variable raised to the first power.

x² + y² = 18 ----- 1

x + 2 = - 3x ---- 2

From equation 2

x + 2 = - 3x

x + 3x = -2

4x = -2

x = -2/4

x = -1/2

Substitute x in equation 1

(-1/2)² + y² = 18

1/4 + y² = 18

y² = 18 - 1/4

y² = (72 - 1)/4

y² = 71/4

y = √71 / 2

Learn more about linear expressions here: https://brainly.com/question/2030026

#SPJ1

Step-by-step explanation:

please try to snap or write out the question