9.Patients who are addicted to cocaine are sometimes using the drug to combat
depression. As such, sometimes addicts are given antidepressant medications to
prevent relapse. A three-year study compared the effects of two such medications,
lithium and desipramine, along with a placebo for 72 cocaine users wishing to break
the habit. The patients were put into 3 groups of 24, and given 1 of the 3 treatments at
random. This two-way table illustrates the results.
Treatment Relapse No relapse Total
Desipramine 10 14 24
Lithium 18 6 24
Placebo 20 4 24
Total 48 24 72
According to the table, 48 of the addicts relapsed regardless of the treatment given.
This number is an example of a
A. relative frequency
B. marginal frequency.
C. conditional relative frequency.
D. joint frequency

Given:

The geometric sequence is

[tex]4, -12, 36,...[/tex]

To find:

The sum of first 8 terms of the given geometric sequence.

Solution:

We have,

[tex]4, -12, 36,...[/tex]

Here, the first term is 4 and the common ratio is

[tex]r=\dfrac{-12}{4}[/tex]

[tex]r=-3[/tex]

The sum of first n terms of a geometric sequence is

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting n=8, a=4 and r=-3, we get

[tex]S_8=\dfrac{4((-3)^8-1)}{-3-1}[/tex]

[tex]S_8=\dfrac{4(6561-1)}{-4}[/tex]

[tex]S_8=-6560[/tex]

Therefore, the sum of first 8 terms is -6560.

[tex]\frac{1}{11}[/tex] [tex]=0.909[/tex] of his total income last year came from his work at the gym.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

According to questions, Last year Zack had two jobs.

Zack worked  in an office for [tex]12[/tex] months and earned  £[tex]2600[/tex] per month

and at a gym for [tex]39[/tex] weekends and earned £[tex]80[/tex] per weekend.

We have to find the fraction of his total income last year came from his work at the gym.

Office Income[tex]=[/tex]£[tex](2600[/tex]×[tex]12[/tex][tex])[/tex]  [tex]=[/tex]£[tex]31200[/tex]

Gym Income[tex]=[/tex]£ [tex](80[/tex]×[tex]39)[/tex][tex]=[/tex] £[tex]3120[/tex]

Total Income[tex]=[/tex]£ [tex]34320[/tex]

Fraction of his total income last year came from his work at the gym  

[tex]=\frac{3120}{34320} \\=\frac{1}{11}[/tex]

[tex]=0.909[/tex]

Hence, we can conclude that [tex]\frac{1}{11}[/tex] [tex]=0.909[/tex] of his total income last year came from his work at the gym.

Learn more about fraction  here:

https://brainly.com/question/18134643?referrer=searchResults

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Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation: It says it in the problem, and you can see they cross at 4 weeks

Answer:

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation:

Answer:

circumference=15.7 feet

Step-by-step explanation:

5x3.14=circumference=15.7

Answer:

15.7 feet

Step-by-step explanation:

The formula for circumference is [tex]2\pi r[/tex].

The radius is half of the diameter: 2.5 in this case.

2.5 x 2 is 5.

3.14 x 5 is 15.7.

Hope it helps!

Answer:

1 lap in 4/5 minute.

Step-by-step explanation:

10/8=1/x

cross product

simplify 10/8 into 5/4

5/4=1/x

cross product

4*1=5*x

4=5x

x=4/5

Answer:

The independent variable is the number of cars

the band washes and the dependent is the number of money they earn

Step-by-step explanation:

Answer:

7

7

35 * 10 = 350

Step-by-step explanation:

We have 5 * 70 split up into multiple ways, and we need to provide an answer at the end of it.

5 * 70 = 5 * (__ * 10)

We have to equal the value of 5 * 70 by inputting the missing number.

What times 10 equals 70?

7.

5 * 70 = (5 * __) * 10

This goes for the same as the one before, what times 5 equals 5 * 70 to the same amount?

7.

5 * 70 = __ * 10 = __

Now for the final part, we take the information from before and implement to here, what is 5 * 7?

35.

Now do 35 * 10 :

35 * 10

350

Answer: y=-2x+6

Step-by-step explanation:

The equation for slope-intercept form is : y=mx+b

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

First Step: find the slope

- (y2-y1)/(x2-x1)

GIven

x1=0

y1=6

x2=4

y2=-2

Solve

 (y2-y1)/(x2-x1)

=(-2-6)/(4-0)

=-8/4

=-2

Second Step: find the y-intercept

Given

y=-2x+b

Substitute one of the points into the equation

y=-2x+b

(-2)=-2(4)+b

-2=-8+b

b=6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

20 cm

Step-by-step explanation:

just a guess since there isn't a pic

Answer:95

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

If the whole square is 20in and there are four sides, then divide 20/4 which is 5

(I think)

Answer:

False

Step-by-step explanation:

The range of the function is the set of all possible y values, in our case that would be {5, 6, 8, 13}, there for the range of the function is not {2, 4, 5, 6}, therefore the statement is false.

Answer: help

Step-by-step explanation: I need help too

Answer:

2.2

Step-by-step explanation:

Answer:

es igual a 111.111.111.011

Answer:

Hey man, I'm sorry for you loss, if there is anything that I can do like bring you ice cream or pizza or something let me know. I am here for you, and I hope you feel better soon.

Answer:

169

Step-by-step explanation:

The square area is 64 and the paralellogram is 105

Add those two: 64+105=169

Answer:

(-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3 = 42

Step-by-step explanation:

This is obviously a bait question.

Answer:

7) 11

8) 21.5

9) 9

10) 35+12=47

11) 3+5+9=17

Hope this helps!

Step-by-step explanation:

Answer: 75.75°

Step-by-step explanation:

Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.

sin(Ф) = 12.6/13

Take the inverse sine of both sides, this requires a calculator.

Ф = 75.75°

Take 36 multiplied by 1,4

[tex]36 \times 1.4 = 50.4[/tex]

ummmmmm you dont need the explanation and I'd rather not type but trust me its d, good luck!

If you know your derivative rules, then

d/dx [1/x] = -1/x ²

so that when x = 6, the derivative has a value of -1/36.

If you have to use the definition of the derivative, then

d/dx [1/x] = lim {h → 0} (1/(x + h) - 1/x) / h

… = lim {h → 0} (x - (x + h)) / (hx (x + h))

… = lim {h → 0} (-h) / (hx (x + h))

… = lim {h → 0} (-1) / (x (x + h))

… = -1/x ²

and at x = 6, you again get -1/36.

Alternatively, use the definition of the derivative at a point:

d/dx [1/x] (6) = lim {x → 6} (1/x - 1/6) / (x - 6)

… = lim {x → 6} ((6 - x) / (6x)) / (x - 6)

… = lim {x → 6} -(x - 6) / (6x (x - 6))

… = lim {x → 6} (-1) / (6x)

… = -1/36

Answer:

4/8 or 1/2

Step-by-step explanation:

7/8-3/8= 4/8 or 1/2

Answer:

Stephanie has [tex]\frac{1}{2}[/tex] a pound of birdseed left.

Step-by-step explanation:

  [tex]\frac{7}{8}[/tex] - [tex]\frac{3}{8}[/tex]

= [tex]\frac{4}{8}[/tex]

= [tex]\frac{1}{2}[/tex]

Answer:

70

Step-by-step explanation:

What U will first want to do is divide 500 by 7 and U will get 71.42.

Then Im guessing sense it says about it will round to about 70 Paper Flowers.

Hope This Helps!!!

70

What you will first want to do is divide 500 by 7  you will get 71.42.

rounded about 70 tissue things-

Answer:

if it is similar it would be 19

Step-by-step explanation: