I WILL GIVE BRAINILYEST!!!This is a graded discussion:
Modules
Mathematical Modeling Discussion
Syllabus
Grades
99 Co
5.272 a
People
0.31 MeV B 99.80%
Office 365
1.48 Mev B-
1.1732 MeV Y
0365 Email
1.3325 MeV Y
The rate of decay of a radioactive substance depends upon the
amount present initially. The mass y (mg) of the radioactive substance
cobalt-60 present in a sample at time < (years) is represented by the
-0.13151
exponential equation y = 50 e
Answer the following questions in complete sentences.
1. How does the exponential equation above compare to the equation
for simple interest that is compounded continuously? Explain the
similarities. What is the initial amount of cobalt-60 in the sample?
2. How much cobalt-60 is left after 8.4 years? Show your work
3. What would be the y-intercept of the graph? What does it
represent?
4. After how many years will the amount of cobalt-60 left be 6.25
mg? Explain what happens to the cobalt-60 after 50 years?
5. Discuss some real-world" examples and uses of cobalt-60

Answer:

b. As the sample size â increases, the variance of decreases. â So, the distribution of becomes highly concentrated around.

Step-by-step explanation:

Let : Yi,.... Yn are = i.i.d are random variables. The probability density of the distribution varies along with the sample size. When the sample size changes, the probability density of [tex]$E^3$[/tex] also changes.

The probability distribution may be defined as the statistical expression which defines the likelihood of any outcome for the discrete random variable and it can be opposed to the continuous random variable.

In the context, when the size of the sample of the distribution size increases, it causes a decrease in the variance and so the distribution becomes highly concentrated around.

Answer:

there isnt a question... what do you need help with?

Answer:

.-. >_>

Step-by-step explanation:

Answer:

D) The revised interval is wider than the original interval because the corect sample proportion is closer to 0.5 than the mis-calculated proportion is.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The larger the closer to 0.5 the value of [tex]\pi[/tex], the larger the margin of error and the wider the interval is.

A biologist studying trees constructed the confidence interval (0.14, 0.20)

This means that the estimate used was of:

[tex]\pi = \frac{0.14 + 0.2}{2} = \frac{0.34}{2} = 0.17[/tex]

The correct sample proportion was 0.27.

With [tex]\pi = 0.27[/tex], the margin of error is larger as 0.27 is closer to 0.5 than 0.17. Thus, the revised interval will be wider, and the correct answer is given by option D.

Answer:

(8,3)

Step-by-step explanation:

Hello There!

This is the rule for reflection over y axis:

(x,y) -----> (-x,y)

So if the point (-8,3) we're to reflect over the y axis then the x value would stay the same but the sign would flip

So instead of -8 it would be +8

The y value does not change so the new coordinates would be

(8,3)

Answer:

[tex]100\ \text{ft/mi}[/tex]

Step-by-step explanation:

Elevation of the head of the stream is 2,200 feet above sea level

Elevation of the mouth of the stream is 1,000 feet

Rise = [tex]2200-1000=1200\ \text{ft}[/tex]

Distance between the two points = [tex]63360\ \text{ft}=\dfrac{63360}{5280}=12\ \text{mi}[/tex] = Run

Gradient is given by

[tex]\dfrac{\text{Rise}}{\text{Run}}=\dfrac{1200}{12}\\ =100\ \text{ft/mi}[/tex]

The gradient of the slope the stream is flowing over is [tex]100\ \text{ft/mi}[/tex].

Answer:

The answer is -0.828

Step-by-step explanation:

I took the quiz and i gt this question correct, hope it helps!

The r-value of the given data is 0.374.

The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.

It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.

We have,

First, we need to find the correlation coefficient (r) of the given data.

We can use the following formula to do this:

r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]

where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.

Using the given data, we can calculate the values as follows:

n = 5

∑x = 39

∑y = 53

∑(xy) = 442

∑x^2 = 483

∑y^2 = 1249

Substituting these values into the formula, we get:

r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]

r = [2210 - 2067] / [√(2415) √(5660)]

r = 143 / (61.898 75.245)

r = 0.374 (rounded to three decimal places)

Therefore,

The r-value of the given data is 0.374.

Learn more about correlation coefficient here:

#SPJ7

Answer:

r ≈ 2.5

Step-by-step explanation:

98 = 5(πr^2)

divide 5 by both sides

19.6 = πr^2

divide π by both sides

6.2388 = r^2

square root both sides

r = 2.49777

r ≈ 2.5

Answer: 4.5

Step-by-step explanation:

[tex]5(2x+1)=50\\\\2x+1=10\\\\2x+9\\\\x=\boxed{4.5}[/tex]

Answer:

Step-by-step explanation:

Length (L) = 8cm

Breadth (B) = 4cm

Height (H) = 3cm

........................................

Volume = L × B × H

= 8 × 4 × 3

= 96cm³

Answer:

2y = 7

y = 3 1/2

Step-by-step explanation:

Answer:

• 25%

• Drama movie

Step-by-step explanation:

• Total number of children

= 16 +12 +18 +20 +14

= 80

Percentage of children that voted for action movie

[tex] = \frac{no. \: of \: children \: that \: voted \: for \: action \: movie}{total \: number \: of \: children} \times 100\%[/tex]

[tex] = \frac{20}{80} \times 100\%[/tex]

[tex] =\textbf{25\%}[/tex]

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

• Total number of votes

= 30 +32 +36 +36 +26

= 160

20% of total votes

= 20% ×160

= 32 votes

Since Drama movie received 32 votes, it received 20% of the total votes.

Answer:

90-35=55

x=55

Step-by-step explanation:

Answer:

x = 55

Step-by-step explanation:

x and 35 must = 90 degrees because of the Angle Addition Postulate. So if you subtract 90 and 35, you get x.

Answer: 34 of them do

Step-by-step explanation: It says that 22 of them compete in the fox-trot and then it says 18 compete in the tango and then at the end it says that 6 compete in both. Based on what that said I can confirm that it's 36 because  the question they want us to answer is only the ones who do fox-trot or tango not both

Hope this helps :)

Answer:

22+18-6=34

Step-by-step explanation:

Let's call F the set of dancers who dance fox-trot (not necessarily just that, they may also dance something else, what's important is that, amongst other things, they also dance fox-trot), and T the set of dancers who dance tango.

We know that F has 22 elements, T has 18, and the intersection of sets F and T (e. g. those who dance both tango and fox trot) has 6 ones.

Now, let's take a further look at how those sets are made up.

Let's take set F, for example. In it, there is some number of dancers who dance only fox trot, and some others who dance both fox trot and tango.

Similarly, set T is made up of those who dance only tango and those who dance both fix trot and tango.

Therefore, if we were to add those sets together, we would get the number of those who only dance tango, plus the number of those who only dance fox trot, plus two times the number of those who dance both.

We can make up for that, and get the desired result, by subtracting the union of sets F and T from their sum.

Hope this was a clear explanation :)

Answer:

He can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.

Step-by-step explanation:

Given that Harry’s TV plan cost $ 49.99 per month plus $ 3.49 per first run movie, to determine how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of $ 100, the following calculation must be performed:

100 - 49.99 = 50.01

50.01 / 3.49 = X

14.32 = X

49.99 + (3.49 x 14) = 98.85

Thus, he can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.

Answer:

the range is :

10 , 74 , 78 , 102

3 , 4 , 4 , 5 , 17

1.2, 1.2 , 3.2 , 3.5 , 3.6 , 6.5 , 8.2 , 9.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

20 = 5y

4=y

x+3y = 2(x+y-1)

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

x+3(4) = 2x + 2(4) -2

x +12 = 2x +8 -2

12-8+2 = 2x -x

6 =x

The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal, and opposite angles equal.

Given is a polygon,

We know opposite sides of a parallelogram are equal,

Therefore,

5y = 20

y = 20/5

y = 4

And,

Putting y = 4, in x+3y = 2(x+y-1)

x+12 = 2(x+3)

x+12 = 2x+6

x = 12-6

x = 6

Hence, The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

For more references on parallelograms, click;

https://brainly.com/question/19187448

#SPJ2

Answer:

80°

Step-by-step explanation:

In rhombus, opposite angles are equal. i.e <KET = <KIT

Triangle KET is isoceles, which means both parts of angle E are equal.

Angle E = 40 + 40

Angle E = 80

If angle E is 80 than Angle I is also 80.

Answer: to move a graph up c units, add c to the whole function

so basicaly what you did is you subtraced 3 from the whole function

the whole graph shifts 3 units down

B is answer

Step-by-step explanation:

Answer:

71 degrees, Acute angle

Step-by-step explanation:

From the question, the equation for the Angle is given to be 19x-5, given in degrees and they want to find the value of the angle when the variable X is equal to 4.

All we need to do is change X with 4 in this equation to get

(19x4)-5) Now we just need to do some basic arithmetic to find out the value.

(76-5)=71, So 71 degrees. Now let's classify all the types of angles

1-89 degrees is a acute angle

90 degrees Is a right angle

91-179 is a obtuse angle

180 is a Straight angle

181-359 is a reflex angle

360 is a full turn.

Notice how our 71 degree angle falls into the category of a acute angle (1-89)

So our final Answer is that the angle is 71 degrees and a acute angle.

Answer:

∠ P = 71° and is acute

Step-by-step explanation:

Acute angle is between 0° and 90°

Right angle = 90°

Obtuse angle is between 90° and 180°

Straight angle = 180°

Given

∠ P = 19x - 5 ← substitute x = 4

      = 19(4) - 5 = 76 - 5 = 71° ← acute angle

Answer:

Surface area = 24 in.²

Step-by-step explanation:

Surface area of the cube = 6a²

Where,

a = length of the each side of the cube = 2 in.

Plug in the value into the formula

Surface area of the cube = 6(2²)

= 6 × 4

Surface area = 24 in.²

Answer:

50 degrees

Step-by-step explanation:

It is opposite of angle CGD so therefore it is congruent to CGD which makes it 50 degrees

Answer:it’s A

Step-by-step explanation: it is tangent because it is adjacent side and opposite. the equation is 50°tan90

Answer:

A: 50°tan 90

Step-by-step explanation:

It is tangent because it is adjacent side and opposite the equation is 50°tan 90

Answer:

7

Step-by-step explanation:

7 times 3 equals 21 so that means if you subtarct 14 it would equaal to 7

Answer:

8 months because 2/3 times 12 is 8.

Answer:

55°

Step-by-step explanation:

The angle is part of a 90° angle, so you do 90°-35° to get 55°.

Give branliest please. :)

Answer:

90 degrees - 35 degrees = x degrees, this will give you 55 degrees

Answer:

[tex]x = 75[/tex]

Step-by-step explanation:

Given

See attachment

Required

The value of x that makes l and m parallel

Let the angles be ABC (See attachment 2)

[tex]\angle CAB[/tex] is corresponding to 50 degrees. So:

[tex]\angle CAB=50[/tex]

[tex]\angle ABC[/tex] is corresponding to 55 degrees. So:

[tex]\angle ABC = 55[/tex]

This means that:

[tex]\angle ABC + \angle CAB + x = 180[/tex]

[tex]50 +55 + x = 180[/tex]

Solve for x

[tex]x = 180 - 50 - 55[/tex]

[tex]x = 75[/tex]

Answer:

Im not sure im sorry if i got it wrong but my guess is 1234 :/

Step-by-step explanation:

Answer:

4132

Step-by-step explanation:

1).4,132 (four thousand one hundred thirty-two) is an even four-digits composite number

2). 4 + 1 + 3 + 2 = 10

3). each number is greater than 0

4). 4+1= 5 3+2= 5

5). 4 is the gretes number in 4132

rectangle for sure my teacher told me

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Answer:

11.7

Step-by-step explanation:

First HK can be found via Pythagorean Theorem

6^2 + 10^2 = 36 + 100 = 136

The square root of 136 is (rounded to the nearest tenth): 11.7

GJ is congruent to HK

GJ = 11.7