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Ghella [55]
2 years ago
5

patient receives M milligrams of a certain drug each day. Each day the body eliminates 25% of the amount of drug present in the

system. Determine the value of the maintenance dose M such that after many days approximately 20 milligrams of the drug is present immediately before a dose is given.​
Mathematics
1 answer:
BARSIC [14]2 years ago
7 0

Answer:

Step-by-step explanation:

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Translate and solve: eight more than the product of three and a number is -13
Murrr4er [49]
Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7
6 0
3 years ago
In a random sample of males, it was found that 28 write with their left hands and 210 do not. In a random sample of females, it
Drupady [299]

Answer:

a) Null hypothesis:p_{M} \geq p_{W}  

Alternative hypothesis:p_{M} < p_{W}  

b) z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271    

c)p_v =P(Z   

d) If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant lower than the proportion of female that write with their left hand

Step-by-step explanation:

1) Data given and notation  

X_{M}=28 represent the number of men that write with their left hand

X_{W}=62 represent the number of women  that write with their left hand

n_{M}=210+28=238 sample of male selected

n_{W}=62+435=497 sample of female selected

p_{M}=\frac{28}{238}=0.118 represent the proportion of men  that write with their left hand

p_{W}=\frac{62}{497}=0.125 represent the proportion of women that write with their left hand

\alpha=0.05 represent the significance level

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the rate of left-handedness among males is less than that among females , the system of hypothesis would be:  

Null hypothesis:p_{M} \geq p_{W}  

Alternative hypothesis:p_{M} < p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{28+62}{238+497}=0.122

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271  

4) Statistical decision

We have a significance level provided \alpha=0.05, and now we can calculate the p value for this test.  

Since is a one left side test the p value would be:  

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.05, 0,1,0.15 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant loer than the proportion of female that write with their left hand .  

6 0
2 years ago
Solve the equation. StartFraction dx Over dt EndFraction equals StartFraction 1 Over x e Superscript t plus 7 x EndFraction An i
MAVERICK [17]

Answer:

\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

Step-by-step explanation:

We are given that

\frac{dx}{dt}=\frac{1}{xe^{t+7x}}

We have to find the implicit function

Using separation variable method

\frac{dx}{dt}=\frac{1}{xe^t\cdot e^{7x}}

By using property x^a\cdot x^y=x^{a+y}

xe^{7x}dx=e^{-t}dt

By using property \frac{1}{x^a}=x^{-a}

Taking integration on both sides

\int xe^{7x}dx=\int e^{-t}dt

Parts integration method

\int u\cdot v dx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx

By parts integration method

x\int e^{7x}dx-\int (\frac{dx}{dx}\int e^{7x}dx)dx=-e^{-t}+C

Using formula \int e^{ax} dx=\frac{e^{ax}}{a}+C

\frac{xe^{7x}}{7}-\frac{1}{7}\int e^{7x}dx=-e^{-t}+C

\frac{xe^{7x}}{7}-\frac{1}{49}e^{7x}+e^{-t}=C

\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

We are given that

F(x,t)=C

F(x,t)=\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C

8 0
3 years ago
Please help with the graph
tamaranim1 [39]
This is the answers

5 0
3 years ago
Read 2 more answers
Ur answer will be marked as brainliest...
Julli [10]

Answer:

92.75 cm^2

Step-by-step explanation:

Area of triangle ADC

= (1/2)×4.5×12 = 27

Area of triangle ACB

=(1/2)×12×5 = 30

Find AB using pythagoras theorem on triangle ABC:

AB^2 = 5^2 + 12^2 = 25 + 144

AB^2 = 169

AB = 13cm

Area of triangle AGB

= (1/2)×13×5.5 = 35.75

Total area = sum of the areas of the 3 triangles found above

= 27 + 30 + 35.75 = 92.75 cm^2

6 0
3 years ago
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