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zlopas [31]
2 years ago
10

URGENT HELP ASAP, PLEASE HELP WITH MY GRADE 11 MATH!

Mathematics
1 answer:
cluponka [151]2 years ago
4 0

Half-Life Formula:

Amount remaining = (Initial amount)[ (1/2)^(time / half-life) ]

Amount remaining = ?

Initial amount = 200 mg

Time = 2 hours = 120 minutes

Half-Life = 20 mins

---Notice that I changed the time from hours to minutes. The time and half-life time need to be in the same unit.

A = (200)[ (1/2)^(120/20) ]

A = (200)(1/2 ^6)

A = (200)(1/64)

A = 3.125

Answer: 3.125 mg remain

Hope this helps!

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Check My Work According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Data
Salsk061 [2.6K]

Complete question :

According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion

Answer:

H0 : μ = 3

H1 : μ ≠ 3

Test statistic = 1.897

Pvalue = 0.0653

fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.

Step-by-step explanation:

Given :

Sample size, n = 40

Sample mean, x = 3.6

Population mean, μ = 3

Standard deviation, s = 2

The hypothesis :

H0 : μ = 3

H1 : μ ≠ 3

The test statistic :

(xbar - μ) ÷ (s/√n)

(3.6 - 3) / (2/√40)

0.6 / 0.3162277

Test statistic = 1.897

Using T test, we can obtain the Pvalue from the Test statistic value obtained :

df = n - 1; 40 - 1 = 39

Pvalue(1.897, 39) = 0.0653

Decison region :

If Pvalue ≤ α ; Reject the null, if otherwise fail to reject the Null.

α = 0.05

Pvalue > α ; We fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.

7 0
3 years ago
If a translation of <img src="https://tex.z-dn.net/?f=T_%7B-3%2C-8%7D%20%28x%2Cy%29" id="TexFormula1" title="T_{-3,-8} (x,y)" al
nydimaria [60]

The y-coordinate of B' after the translation is -6

<h3>How to determine the y-coordinate of B'?</h3>

From the graph, the coordinate of B is given as:

B = (1,2)

The translation T_{-3,-8}(x,y) means:

(x,y) ⇒ (x - 3, y - 8)

So, we have:

B' = (1 - 3, 2 - 8)

Evaluate the difference

B' = (-2, -6)

Remove the x-coordinate

B' = -6

Hence, the y-coordinate of B' is -6

Read more about translation at:

brainly.com/question/24850937

#SPJ1

7 0
1 year ago
F(x) = 4x^2 - 3x + 2kx + 1 
dybincka [34]
f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}

\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)

6 0
3 years ago
A restraint has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the rest
Xelga [282]

Answer:

D

Step-by-step explanation:

I have answers to whole packet:

1.D

2.A

3.C

4.D

5.C

6.D

7.A

8.C

9.A

10.B

11.A

12.A

13.A

14.B

15.A

16.B

17.A

18.A

19.B

20.C

21.A

22.A

23.D

24.B

7 0
3 years ago
Evaluating Algebraic Expressions
koban [17]
D + t = total earnings
$3h + t = total earnings
$3h + $22 = total earnings

Fill in h as however many hours she is working.
Example: She worked for 8 hrs and got $22 in tips.
$3(8) + $22 = ?
$24 +$22 = $46
6 0
3 years ago
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