The half life of a substance is 12 days. If there are 4.5 grams to start with, how much will be left after 20 days? Round to the nearest tenth of a gram. Be sure to label your answer.

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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The solutions to the linear function are;

1. The soccer team makes more money per car ($8) than the French club ($5).

2. The graph that demonstrates Arnold's journey is graph 3

3. The graph that demonstrates Francisco's journey is graph 1

4. The graph that demonstrates Celia's journey is graph 2

To determine which group makes the most money per car, we can calculate the slope of the linear function representing the amount earned per car washed for both the French club and the soccer team. The slope of a linear function is the change in the dependent variable (y) divided by the change in the independent variable (x).

Let's calculate the slope for the soccer team. We can choose any two points to calculate the slope. Let's use the points (3, 24) and (6, 48):

Slope (m) = (change in y) / (change in x) = (48 - 24) / (6 - 3) = 24 / 3 = 8

The soccer team earns $8 per car washed.

We can choose any two points to calculate the slope for the French club. Let's use the points (2, 10) and (4, 20):

(20 - 10) / (4 - 2) = 10 / 2 = 5

The French club earns $5 per car washed

The above answer is dependent on the questions below;

The french club and soccer team are washing cars to earn money. The amount earned, (y) dollars for washind (x) cars is a linear function.  Which group makes the most money per car? explain

                                      French club

Number of cars (x)                       Amount earned (y)

2                                                         10

4                                                          20

6                                                          30

8                                                         40

10                                                         50

Soccer team

Number of cars (x)                       Amount earned (y)

3                                                      24

6                                                       48

9                                                      72

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Answer:

0.33 or 33%

Step-by-step explanation:

6  = white marbles

4  = black marbles

10 =  total marbles

6/10 - Pulling white marbles

4/10 - Pulling black marbles

10 - 4 = 6

2/6 - Pulling two white marbles

9514 1404 393

Answer:

  t ≥ 40

Step-by-step explanation:

"No less than" is the same as "greater than or equal to".

  t ≥ 40

Answer:$85.5

Step-by-step explanation:

So divide 66.50 by 7 and that will get you 9.5 then multiply that by 9 which is then 85.5

Answer:

55

Step-by-step explanation:

you would start by asking yourself what us 60÷12=5 then multiply 5×1=5 that would be the answers she got wrong so then you would get the answer for 60-5=55

Answer:

A, the first one

Step-by-step explanation:

On the left side, the graph is going closer to 0, that explains the first coordinate 0. On the right side, the graph approaches positive infinity, so that explains the infinity. I hope this helps!

Answer:

His economics grade had a higher z-score, so you performed better relative to the class average in economics.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In which class did you perform better relative to the class average?

In whichever class you had the higher z-score.

Statistics:

Scored 65, mean 60, standard deviation 6. So \(X = 65, \mu = 60, \sigma = 6\)

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{65 - 60}{6}\)

\(Z = 0.83\)

Economics:

Scored 78, Mean 75, Standard deviation 2.5. So \(X = 78, \mu = 75, \sigma = 2.5\)

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{78 - 75}{2.5}\)

\(Z = 1.2\)

His economics grade had a higher z-score, so you performed better relative to the class average in economics.

The percentage of students with more than 1 brother or sister is 41%.

To find the percentage, first complete the table:

118 - 62 = 56 female students with 1 brother and sister.
8 + 14 = 22 7th years with 3 brothers and sisters.
118 + x + 22 + 6 = 200, x = 200 - 146, x = 54 7th years with 2 brothers and sisters.
54 - 24 = 30 male students with 2 brothers and sisters.
62 + 30 + 8 + y = 104, y = 104 - 100, y = 4 male students with 4 brothers and sisters.
6 - 4 = 2 female students with 4 brothers and sisters.
56 + 24 + 14 + 2 = 96 total female students of 7th year.

The percentage of students with more than i brother and sister is:

54 + 22 + 6 = 82 students or 200 - 118 = 82 students.

% = 82 / 200 x 100 = 41%.

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Answer:

62 degrees.

Step-by-step explanation:

If angle JIK is 59 then angle JKI is also 59 as the lines through the two lengths show us the triangle is isosceles. Angles in a triangle add up to 180 so we can do:

180 - (59+59)

180 - 118

62, angle IJK is 62.

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer:

no

Step-by-step explanation:

well, is 21-7 < 14?

Answer:

Everything but C.

I think.

Step-by-step explanation:

Similar triangles have the same angles and ratios of side lengths.

Do not be surprised if I'm wrong about B.

No, the ratios are not proportional because they are not equivalent.

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|0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.

Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.

To find the standardized test statistic (z) to test the hypothesis that p₁ = p₂, where p₁ and p₂ are the proportions of success in two independent samples, we can use the following formula:

z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))

where:

p₁ and p₂ are the sample proportions of success in the two samples.

p = (x₁ + x₂) / (n₁ + n₂) is the pooled proportion of success in both samples.

n₁ and n₂ are the sample sizes of the two samples.

x₁ and x₂ are the number of successes in the two samples.

Given the sample statistics:

n₁ = 50, x₁ = 35 (sample 1)

n₂= 60, x₂ = 40 (sample 2)

First, calculate the pooled proportion (p):

p = (x₁ + x₂) / (n₁ + n₂)

p = (35 + 40) / (50 + 60)

p = 75 / 110

p ≈ 0.6818

Now, calculate the standardized test statistic (z):

z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))

z = (35/50 - 40/60) / √(0.6818 * (1 - 0.6818) * ((1/50) + (1/60)))

z = (0.7 - 0.6667) / √(0.6818 * 0.3182 * (0.02 + 0.0167))

z = 0.0333 / √(0.1456 * 0.0367)

z = 0.0333 / √(0.00534272)

z = 0.0333 / 0.073068

z ≈ 0.4552

Now, compare the standardized test statistic (z) with the critical value at α = 0.05. Since this is a two-tailed test, the critical value is approximately ±1.96 (at a 5% significance level).

Since |0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.

Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.

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d is the answer

let the number of tickets be x and y

then the prices are multiplied to the number of tickets.

Given:

The equation is

\(\dfrac{2}{5}x+9=9\)

To find:

The statement for the given equation.

Solution:

For "more" or "plus" we use "+" sign.

For "of" we use "×" sign.

Let x be the unknown number.

Two-fifths of nine is a number.

\(\dfrac{2}{5}(9)=x\)

Two-fifths of a number is nine.

\(\dfrac{2}{5}x=9\)

A number plus nine is the same as two-fifths of nine.

\(x+9=\dfrac{2}{5}(9)\)

These equation are different from the given equation. So, the options A, B and D are incorrect.

Nine more than two-fifths of a number is nine.

\(\dfrac{2}{5}x+9=9\)

It is same as the given equation. Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

The value of x that makes the relation a function is 3.

Option A is the correct answer.

We have,

A = (5, 3), (4, 9), (7, 2), (x, 6)

Given the points (5, 3), (4, 9), (7, 2), and (x, 6), we need to ensure that x does not repeat in the relation.

If we substitute the given values of x (3, 4, 5, 7) into the relation, we find:

For x = 3: (3, 6)

For x = 4: (4, 6)

For x = 5: (5, 6)

For x = 7: (7, 6)

Now,

A function can not have the same output for the same input.

So,

(4, 6) and (4, 9) are not possible.

(5, 6) and (5, 3) are not possible.

(7, 6) and (7, 2) are not possible.

And,

(3, 6) is possible

Thus,

The value of x that makes a function is 3.

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Answer:

F

Step-by-step explanation:

hfbeehdbwhdbejdmrmij nj ninjunjnjr

Answer:

Im pretty sure F, correct me if I am wrong!

Step-by-step explanation:

The linear equations are given as follows:

A linear function is modeled by:

y = mx + b

In which:

For diagonal AC, the line contains points (-3,3) and (3,-3), hence the line is:

y = -x.

In standard form:

\(x + y = 0, -3 \leq x \leq 3\).

For diagonal BD, the line contains points (3,3) and (-3,-3), hence the line is:

y = x.

In standard form:

\(x - y = 0, -3 \leq x \leq 3\).

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Answer: 112 people.

Step-by-step explanation:

Answer:

You would need 112.5 people to eat all the stacks of pancakes.

Step-by-step explanation:

45 times 5 = 225

and then 225 divided by 2 is 112.5

Hope this helps!

Good question lol

Answer:

9/15

Step-by-step explanation:

so to get a common denominator you'd multiple 1/3(5) so you'd get 5/15 and 14-5 is 9 so you'd get 9/15

Answer:

k=0

Step-by-step explanation:

R(x)=kx-2x²

R(1/4)=k(1/4)-2(1/4)²=k/4-1/8

R(-1/4)=k(-1/4)-2(-1/4)²=-k/4-1/8

R(1/4)=R(-1/4)

k/4-1/8=-k/4-1/8

k/4+k/4=1/8-1/8

2k/4=0

2k=0

k=0

The equation representing the average sales each day for the real estate company is: S = (t-5)/(t+4)

In mathematics, a factor is a number that divides another number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these numbers divide 12 without leaving a remainder.

To find the equation representing the average sales each day for the real estate company, we need to solve for S in terms of t.

We have:

\(S^{-1}\) = (\(t^{2}\)+3t-4)/(\(t^{2}\)-6t+5)

Taking the inverse of both sides:

S = (\(t^{2}\)-6t+5)/(\(t^{2}\)+3t-4)

We can simplify this expression by factoring the numerator and denominator:

S = ((t-1)(t-5))/((t-1)(t+4))

Simplifying further, we can cancel out the common factor of (t-1):

S = (t-5)/(t+4)

Therefore, the equation representing the average sales each day for the real estate company is:

S = (t-5)/(t+4)

So the answer is (D) S = t+4/t-5.

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Answer:

9 times

Step-by-step explanation:

Answer:

  t ≈ 0.0664731

Step-by-step explanation:

Use the inverse sine function.

  sin(12t) = 141/197

  12t = arcsin(141/197)

  t = arcsin(141/197)/12

  t ≈ 0.0664731 . . . . . . . radians

__

This is the principal value. There are other solutions at values of t that have integer multiples of π/6 added to this. There are also solutions where any of those values is subtracted from π.

_____

In general, angles in math are assumed to be in radians, unless specified otherwise. This angle corresponds to about 3.81°. (In geometry, the usual assumption is that angles are measured in degrees.)