There has been much media coverage of the high cost of medicinal drugs in the United States. One concern is the large variation from pharmacy to pharmacy. To investigate, a consumer advocacy group took a random sample of 100 pharmacies around the country and recorded the price (in dollars per 100 pills) of Prozac. Compute the range, variance, and standard deviation of the prices. Discuss what these statistics tell you.

Answer:

p = 37

p- 7=30

add seven to both sides and you get

p=37

Answer: x^4 + 2x + 2

Step-by-step explanation:

I just took the test. :)

Answer: x^4 + 2x + 2

Step-by-step explanation:

Big brain

Answer:

C

B

A

Step-by-step explanation:

Graph:

Answer:

9000

Step-by-step explanation:

Answer:

There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Step-by-step explanation:

The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06

The number of 50 year old men in the sample, n = 260 men

The number of the sampled men that developed prostrate cancer = 13 men

The significance level, α = 0.05

Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p

The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p

The standard score, [tex]z_{\alpha /2}[/tex] = 1.96

The test statistic, 'z', is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]

[tex]\hat{p}[/tex] = 13/260 = 0.05

q = 1 - p = 1 - 0.06 = 0.94

[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]

From the z-table, we find the p-value as follows;

P(z ≈ -0.68) = 0.24825

Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Answer:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Step-by-step explanation:

hi

Answer:

9,18,27,36,45,54,63,72,81,90

Step-by-step explanation:

The sum of the complex numbers (2 – 3i) and (-4-2i) is -2 - 5i.

Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation [tex]i^2[/tex] = -1. The real part of a complex number is denoted by Re(z) = a, and the imaginary part is denoted by Im(z) = b.

Complex numbers can be added, subtracted, multiplied, and divided in a similar way to real numbers. The addition and subtraction of complex numbers is done by adding or subtracting the real and imaginary parts separately.

To find the sum of complex numbers, we add their real parts and their imaginary parts separately. Let's calculate the sum of the given complex numbers:

(2 - 3i) + (-4 - 2i)

Real part: 2 + (-4) = -2

Imaginary part: (-3i) + (-2i) = -5i

Therefore, the sum of (2 - 3i) + (-4 - 2i) is -2 - 5i.

Learn more about Complex numbers here:

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Answer: I tried to help but i just got confused

Sorrry I didnt know the answer

Answer:

7881.75

Step-by-step explanation:

10,170x0.775

Answer:

7881.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of parallelogram=base×perpendicular height

Area of para.= 7×14

Area of para.= 98cm²

Answer: 37 and 22

Step-by-step explanation:

x + y = 59

x = 15 + y (substitute x as 15 + y into the first equation)

15 + y + y = 59

2y + 15 = 59

2y = 44

y = 22

substitute y as 22 into one of the equations

x = 15 + 22

x = 37

Answer:

9

Step-by-step explanation:

x+1/3x=12

(3x+1x)/3=12

4x/3=12

4x=12×3

4x=36

x=36/4

x=9

Answer:

1/3+x=12(cross multiply)

x+1=12*3

x+1=36(collect like terms)

x=36-1

x=35

Answer: 3y + 5 cm

Step-by-step explanation: The perimeter of a triangle

is just the distance around the outside of the figure.

So just add up all the sides.

So we have y + y + y + 5 and we get 3y + 5.

Let A represent amount of Type A coffee pounds used.  

Let B represent amount of Type B coffee pounds used

A + B = 156  

B = 156 - A  

A = 156 - B

5.80A + 4.65B = 826.60  

580 (156 - B) + 4.65B - 826.60 = 0  

904.8 - 5.80B + 4.65B - 826.60 = 0

904.8 - 1.15B - 826.60 = 0  

78.2 - 1.15B = 0  

78.2/1.15 = 1.15B/1.15

68 = B

B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry.

Step-by-step explanation:

Distance = positive value

a + a = 2a

Answer:

I think its 0

Step-by-step explanation:

becuase if you add the same number but on is negative and the other is positve it is always a 0.

Example:

10 + (-10) = 0

Answer:

[tex]y = -x^2+3x+4[/tex]

Step-by-step explanation:

( -1, 0) , (0, 4) , (4, 0)

y = a(x − b)(x − c)

x-intercept = -1

x = -1

(x + 1) = 0

x-intercept = 4

x = 4

(x - 4) = 0

y = (x + 1)(x - 4)

4 = a(0 + 1)(0 - 4)

4 = a (1)(-4)

4 = -4a

a = -1

y = -1(x + 1)(x - 4)

[tex]y = -x^2+3x+4[/tex]

Answer:

see the attachment, answers there

Answer: A

Step-by-step explanation:

X values to the right of the y axis are positive. X values to the left of the y axis are negative.

Y values above the x axis are positive.

Y values below the x axis are negative.

Pairs of coordinates are always noted as (x,y) with the x value of a point given first and the y value of that same point given second.

Answer:

Step-by-step explanation:

Let A=(a,b) then the reflected over the x-axis will be A'=(a,-b)

A=(5,5) --> A'=(5,-5)

B=(5,1) --> B'=(5,-1)

C=(2,1) --> C'=(2,-1)

D=(1,5) ---> D'=(1,-5)

Answer:

[tex]Area = 3500[/tex]

Step-by-step explanation:

Given

[tex]Length : Breadth = 7 : 5[/tex]

[tex]Perimeter = 240m\\[/tex]

Required

Determine the area

The perimeter is:

[tex]Perimeter = 2(Length + Breadth)[/tex]

This is then represented as:

[tex]240 = 2(7x + 5x)[/tex]

[tex]240 = 2 * 12x[/tex]

[tex]240 = 24x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

So, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = 7x * 5x[/tex]

[tex]Area = 7*10 * 5*10[/tex]

[tex]Area = 3500[/tex]

Answer:

(0,0)

Step-by-step explanation:

Required

Determine the coordinates of the origin

In geometry, the coordinates of the origin is the point where x and y are 0.

i.e.

[tex]x = 0[/tex] and [tex]y = 0[/tex]

So, the coordinate (x,y) is (0,0)

Answer:

The distance between the points is 3.

Step-by-step explanation:

Hope it helps ;)

Answer: 45 degrees

Step-by-step explanation:

Answer:

67 monedas de 5, 34 de 10 y 11 de 25.

Step-by-step explanation:

Representemos el primer enunciado de manera algebraica:

[tex]5x+10y+25z =950[/tex]  (1)

Donde:

Ahora, el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos, se puede representar como:

[tex]y=3z[/tex]  (2)              

[tex]x=2y[/tex]  (3)    

Combinado las eacuaciones (1), (2) y (3) tenemos:

[tex]5(2y)+10y+25(\frac{y}{3}) =950[/tex]

[tex]10y+10y+\frac{25}{3}y =950[/tex]

[tex]\frac{85}{3}y =950[/tex]  

[tex]y =34[/tex]

Por lo tanto el valor de x y z seran:

[tex]x=2(34)[/tex]          

[tex]x=68[/tex]          

[tex]z=11[/tex]    

Si ponemos cada valor en la equacion (1), tenemos:

[tex]5(68)+10(34)+25(11) =955[/tex]

Como el resultado da 955 hay un excedente de 5 pesos, asi que finalmente tendremos.

x = 67

y = 34

z = 11  

Espero te haya serrvido!

Answer:

14/29

Step-by-step explanation:

The probability that a child chosen at random from the class likes math but not history is 14/29  or 0.4827.

It is given that the in a class of 29 children, 15 likes history and 21 like math.

It is required to find the probability that a child chosen at random from the class likes math but not history if they all like at least one of the two subjects.

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

Total students in a class = 29

First we have to find the number of students who likes both subject for this we have draw a Venn diagram shown in the picture.

From the Venn diagram number of students who likes both = 7

And number of students likes only math = 14

Hence, the probability will be:

[tex]p = \frac{14}{29}[/tex]   ( because total number of students is 29)

or P = 0.4827 or 48.27%

Thus, the probability that a child chosen at random from the class likes math but not history is 14/29  or 0.4827.

Learn more about the Venn diagram here:

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Answer:

v>15

Step-by-step explanation:

add 9 to 66

5v>75

v>15

Answer: v>15

Step-by-step explanation:

The inequality can be treated as an equal sign and solved normally. Add 9 to both sides to get 5v>75, then divide to get v>15.

NOTE: If an inequality is divided by a negative number, the sign flips (> to <, etc.)

Answer:

A. [tex]\frac{4}{10}[/tex]

B. [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given - Box A contains 3 red and 2 blue marbles while Box B contains 2

            red and 8 blue marbles. A fair coin is tossed. If the coin turns up

            heads, a marble is chosen from Box A; if it turns up tails, a marble

            is chosen from Box B.

To find -  A. Find the probability that a red marble is chosen.

              B. Referring to above information, suppose that the person who

                  tosses the coin does not reveal whether it has turned up

                  heads or tails (so that the box from which a marble was

                  chosen is not revealed) but does reveal that a red marble was

                  chosen. What is the probability that Box A was chosen (i.e.,

                  the coin turned up heads)?

Proof -

As given ,

Box A : 3 red marbles and 2 blue marbles.

Box B : 2 red marbles and 8 blue marbles.

a.)

As we have to find the probability that a red marble is chosen.

A red marble is chosen in two different ways - either it can be from Box A or Box be .

If Box A is chosen , then Probability of red ball is [tex]\frac{3}{5}[/tex]

If Box B is chosen , Then Probability of Red ball is [tex]\frac{2}{10} = \frac{1}{5}[/tex]

Now,

Probability of Box A is Chosen = [tex]\frac{1}{2}[/tex]

Probability of Box B is chosen = [tex]\frac{1}{2}[/tex]

∴ we get

Probability that a Red marble is chosen =  [tex]\frac{1}{2}[/tex]×[tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex]×[tex]\frac{1}{5}[/tex] = [tex]\frac{3}{10} + \frac{1}{10} = \frac{4}{10}[/tex] = 0.4

b.)

Now,

Probability that Box A is chosen given that Red marble is chosen is

P(Box A | Red marble ) = [tex]\frac{(\frac{3}{5})(\frac{1}{2}) }{(\frac{3}{5})(\frac{1}{2}) + (\frac{1}{5})(\frac{1}{2})} = \frac{\frac{3}{10} }{\frac{3}{10} + \frac{1}{10} } = \frac{\frac{3}{10} }{\frac{4}{10}}[/tex] = [tex]\frac{3}{4}[/tex]

Answer:

The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].

Step-by-step explanation:

Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.

Let the multiplicative inverse of y be represented by a, so that;

a x y = 1

ay = 1

divide both sides by y to have,

a = [tex]\frac{1}{y}[/tex]

Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].

This is applicable to any given value. Examples:

i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].

⇒ 2 x [tex]\frac{1}{2}[/tex] = 1

ii. What is the multiplicative inverse of 5?

The required answer is [tex]\frac{1}{5}[/tex].