Mathematics High School

During boot camp, the drill sergeant measured the weight of the men in his unit. he found the average weight of the men to be 142 pounds and the standard deviation 14 pounds. the data is normally distributed. find the interval in which 68% of the data lies. what is the probability that a man picked at random from the unit will weigh more than 170 pounds? that he will weigh less than 128 pounds?

Answers

Answer 1
To solve the question we proceed as follows:
mean=142
standard deviation=14
a] Find the interval in which 68% of the data lies:
P(x<X)=68%=0.68
the z-score associated with this probability is:
P(z<Z)=0.47
but :
z=(x-mu)/sig
thus;
0.47=(x-142)/14
solving for x we get:
x=148.58
thus 68 percent of the data lie below 148.58

b]what is the probability that a man picked at random from the unit will weigh more than 170 pounds?
x=170
thus
P(x>170) will be:
z=(170-142)/14
z=2
Thus
P(x>170)=1-P(z<2)
=1-0.9772
=0.0228

c] that he will weigh less than 128 pounds?
P(x<128)
z=(128-142)/14
z=(-14/14)=-1
Thus
P(z<-1)=0.1587
Answer 2
Final answer:

To find the interval of 68% of the data, use the empirical rule. The probability a man weighs more than 170 lbs or less than 128 lbs can be found using the normal distribution curve.

Explanation:

To find the interval in which 68% of the data lies, we can use the concept of the empirical rule. According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean.

Since the standard deviation is 14 pounds and the mean is 142 pounds, one standard deviation above the mean is 142 + 14 = 156 pounds, and one standard deviation below the mean is 142 - 14 = 128 pounds.

Therefore, the interval in which 68% of the data lies is from 128 pounds to 156 pounds.

The probability that a man picked at random from the unit will weigh more than 170 pounds can be found by calculating the area under the normal distribution curve to the right of 170 pounds.

The probability that a man picked at random from the unit will weigh less than 128 pounds can be found by calculating the area under the normal distribution curve to the left of 128 pounds.

Related Questions

6x – 2y = 10 2x + 3y = 51 solving the first equation above for y gives:

Answers

The first equation is 6x - 2y = 10. To solve for y, you will use inverse (opposite) operations to undo what is happening to y.  Please see the steps below for the work.

6x - 2y = 10
-6x          -6x
-2y = (-6x + 10)
-2            -2
y = 3x - 5

( Please help me, the year is ending and I'm almost at a failing grade): ) An athlete is running along a circular path that has a diameter of 250 yards. The arc traveled by the athlete is 120 degrees. Using 3.14 for (symbol that looks like two Ts that are connected), how many yards did the athlete run? Round the answer to the nearest yard.

Answers

For this case the arc length is given by:
 S = R * theta
 Where,
 R: radius of the circle
 Theta: central angle
 Substituting values we have:
 S = (250/2) * (120) * (3.14 / 180)
 S = 261.6666667 yards
 Round to the nearest yard:
 S = 262 yards
 Answer:
 the athlete ran:
 S = 262 yards

To find the distance an athlete ran on a circular path with a diameter of 250 yards and an arc length of 120 degrees, calculate the arc length using the radius and angle in radians. The athlete ran approximately 262 yards.

To find the distance the athlete ran around a circular path with a given arc length of 120 degrees and a diameter of 250 yards, first, determine the radius of the circle:

Radius (r) = Diameter / 2 = 250 yards / 2 = 125 yards

Convert 120 degrees to radians: 120 degrees × π / 180 = 2π / 3 radians

Calculate the arc length using the formula: Arc Length = Radius × Angle in radians = 125 yards × 2π / 3 = 250π / 3 ≈ 261.8 yards

Therefore, the athlete ran approximately 262 yards.

What Is the Measure of Y

41

49

51

61

Answers

The answer is:  " 41 " .
_____________________________________________________
                       →  " y  =  41 " .
_____________________________________________________
Explanation:
______________________________________________________

From the "image attached",  note that:

           "139" and "y" ; together; form a "straight line" ; 

→  that is:  "139" and "y" are supplementary ; 

 and by definition;  "supplementary angles"  add up to " 180 degrees" ; 
______________________________________________________
   
      →  y + 139 = 180  ;  Solve for "y" ; 

Subtract " 139 "  from each side of the equation;  
           to isolate "y" on one side of the equation; & to solve for "y" ; 

     →   y +  139 − 139 = 180 − 139 ; 

to get:

     →   y = 41 degrees:
_____________________________________________________
The answer is:  " 41 " .
_____________________________________________________
                       →  " y  =  41 " .
_____________________________________________________

Answer:

ITS A.) 41

Step-by-step explanation:

The width of a rectangle is 5 inches less than twice the length. The area of the rectangle is 700 square inches. What is the length of the rectangle?

Answers

To calculate the length of the rectangle we let the length be x in, let width be
(2x-5) inches
The area will be given by:
A=length×width
A=x(2x-5)
but
A=700 in²
thus
700=x(2x-5)
700=2x²-5x
this can be written in quadratic form as:
2x²-5x-700=0
solving the quadratic we get:
x=20 or x=-35/2
since the length cannot be negative then:
x=20 in
thus the width will be:
2*20-5
=40-5=35 inches

Let A = {the whole numbers} and B = {the integers}. Find A ∩ B.
0
the integers
the whole numbers
the real numbers

Answers

The correct answer is THE WHOLE NUMBERS.
Whole numbers refers to numbers starting from zero to any number, but they do not include negative numbers, fractions and decimals. Integers refers to whole numbers but they also include negative number. The intersection between the two refers to the numbers that are common to the the two of them. Thus, in this case the common numbers are the whole numbers, because whole numbers exist in the two groups.

The answer is WHOLE NUMBERS.

Britany sends between 10 and 20 text messages per day. Each text message costs $0.80. Suppose Britany's cellular bill spans a period of 8 weeks. Which is a reasonable amount that she would spend on text messages on one cellular bill

Answers

well if its between 10 & 20 take the median which is 15 and multiple it by the about of days which is 56 and you get 840 dollars 

The center of a circle is at (-5, 7) and its radius is 6 units. Which of the following is the equation for this circle?

A) (x - 5)2 + (y + 7)2 = 36
B) (x + 5)2 + (y - 7)2 = 36
C) (x - 5)2 + (y + 7)2 = 12
D) (x + 5)2 + (y - 7)2 = 12

Answers

Answer:
Option B, (x + 5)² + (y - 7)² = 36

Explanation:

The equation for a circle is (x - h)² + (y - k)² = r² where r represents the radius of the circle and the center is ordered pair (h, k).

We can then plug the given information into the formula and simplify where possible.

Center at (-5, 7), radius = 6:
[x - (-5)]² + (y - 7)² = (6)²

(x + 5) + (y - 7)² = 36, which matches option B.

Part 1 (Unit 2): Subtract Polynomials:

(3−6n5−8n4)−(−6n4−3n−8n5)

Part 2 (Unit 3): Solve this quadratic equation. Show all your work (steps) for full credit:

4x2−2x−5=0

Answers

Part 1
 We have the following polynomials:
 (3-6n5-8n4)
 (-6n4-3n-8n5)
 Subtracting the polynomials we have:
 (3-6n5-8n4) - (- 6n4-3n-8n5)
 n5 (-6 + 8) + n4 (-8 + 6) + 3n + 3
 Rewriting:
 2n5 - 2n4 + 3n + 3

 Part 2
 For this case we have the following polynomial:
 4x2-2x-5 = 0
 Using resolver we have:
 x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
 x = (- (- 2) +/- root ((- 2) ^ 2 - 4 * 4 * (- 5))) / (2 * 4)
 x = (2 +/- root (4 + 80)) / (8)
 x = (2 +/- root (84)) / (8)
 x = (2 +/- root (4 * 21)) / (8)
 x = (2 +/- 2raiz (21)) / (8)
 x = (1 +/- root (21)) / (4)
 The roots are:
 x1 = (1 + root (21)) / (4)
 x2 = (1 - root (21)) / (4)

Which answer choice below correctly identifies the 202nd term in the sequence 5, 10, 15, 20, 25 …?

Answers

The 202nd term in the sequence is 1010.

Answer:

answer is : A. 1010

Step-by-step explanation:

Simplify the following expression.

[tex]4a^{-2} b [/tex]

Answers

The first step for solving this expression is to express with a positive exponent using [tex] a^{-n} X \frac{1}{ a^{2}} X b[/tex].
4 × [tex] \frac{1}{ a^{2} } [/tex] × b
Now calculate the product.
[tex] \frac{4X1b}{ a^{2} }[/tex]
Before you get your final answer,, you must remember that any expression multiplied by 1 stays this same. This makes our final answer the following:
[tex] \frac{4b}{ a^{2}}[/tex]
Let me know if you have any further questions.
:)

Answer: C

Step-by-step explanation:

The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.

On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.

Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?

a. Lisa walked about 400 yards farther than Deanna.

b. Lisa walked the same distance as Deanna.

c. Lisa walked about 400 yards less than Deanna.

d. Lisa walked about 400 yards.

please help with math? will give branliest!!
2. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
(a) Calculate the median each type of monkey.
(b) Calculate the mean for each type of monkey.
(c) Calculate the MAD for each type of monkey.
(d) Calculate the means-to-MAD ratio for the two types of monkeys.
(e) What inference can be made about the weight of both types of monkeys? Explain.
Answer:

Answers

howler 17 17 0.75
spider 14 14 1

The median of howler monkey is, 17

And, Median of spider monkey is, 14

The mean for the howler monkeys is 17 and the MAD is 0.8571.

The mean for the spider monkeys is 14 and the MAD is 1.1429.

The means-to-MAD ratio is 2.6249.

This means that on average, the number of mean absolute deviations that separate the means is 2.6.  This means they are different.

Find the median of data set as;

For howler monkey;

There are 8 number of howler monkey.

Hence, Median is,

= (8/2 + 1)

= 5 th term

= 17

For spider monkey;

There are 8 number of spider monkey.

Hence, Median is,

= (8/2 + 1)

= 5 th term

= 14

To find the mean of the howler monkeys, add all of the data values and divide by 7:

= (15+16+17+17+17+17+18+19)/7

= 119/7

= 17

To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:

= (|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7

= (2+1+0+0+0+0+1+2)/7

= 6/7

= 0.8571

And, Repeating these processes for the spider monkeys:

Mean:

(12+13+13+14+14+14+16+16)/7

= 98/7

= 14

And, MAD:

= (|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7

=(2+1+1+0+0+0+2+2)/7

= 8/7

= 1.1429

To find the means-to-MAD ratio, find the difference in the means and divide it by the larger MAD:

17-14=3;

Hence, We get;

3/1.1429 = 2.6249

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

Use a calculator to find the approximate value of sin-1( 0.655).

Answers

arcsin(0.655) ≈ 40.9196° ≈ 0.714183 radians

Answer:

Radian = 0.7142

Degree = 40.92°

Step-by-step explanation:

Given: [tex]\sin^{-1}(0.655)[/tex]

Let, [tex]y=\sin^{-1}(0.655)[/tex]

It is inverse trigonometry function. We have to use calculator to find angle of trigonometry.

The value of y in two form radian or degree

Using calculator to find the value of y

In radian,

[tex]y=0.7142[/tex]

In degree,

[tex]y=40.92^\circ[/tex]

Hence, The value of [tex]\sin^{-1}(0.655)[/tex] in radian 0.7142 and in degree 40.92°

(-6-8i) + (-6-i)
study island question please help

Answers

You can treat "i" as though it were a variable and combine like terms in the usual way.
  = (-6+(-6)) +(-8 +(-1))i
  = -12 -9i

Or, you can let your calculator do it.

At the school book sale, Michael bought 3 books for $6. Darnell bought 5 books for $10. Are these rates proportional?

Answers

Michael:
3 books = $6
1 book = $6 ÷ 3 = $2

Darnell:
5 books = $10
1 book = $10 ÷ 5 = $2

Both Michael and Darnell bought their book at $2/book. The rates are proportional.

Answer Yes, the rate of proportional.
3 for $6 = 6/3 = $2/book
-------------↑-----------------
             Michael
_____________________________________________________________

5 for $10 = 10/5 = $2/book
---------------↑-------------------
              Darnell
_____________________________________________________________

Yes,they can form a proportion because they are equal

Hope this helps :)

A system of equations consists of two lines. One line passes through (-1, 3) and (0, 1). The other line passes through (1, 4) and (0, 2). Determine of the system has no solution, one solution, or an infinite number of solutions.

Answers

The equation of the line in its generic form is:
 y = mx + b
 Where,
 m = (y2-y1) / (x2-x1)

 For (-1, 3) and (0, 1):
 We look for the value of m:
 m = (1-3) / (0 - (- 1))
 m = (- 2) / (0 + 1)
 m = -2
 We look for the value of b:
 1 = m (0) + b
 b = 1
 The line is:
 y = -2x + 1

 For (1, 4) and (0, 2):
 We look for the value of m:
 m = (2-4) / (0-1)
 m = (- 2) / (- 1)
 m = 2
 We look for the value of b:
 2 = m (0) + b
 b = 2
 The line is:
 y = 2x + 2

 The system of equations is:
 y = -2x + 1
 y = 2x + 2
 
 Answer:
 the system has one solution

The length of a rectangular field is represented by the expression 14x-3x^2+2yThe width of the field is represented by the expression 5x-7x^2+7y How much greater is the length of the field than the width?

Answers

[tex](14x-3x^2+2y)-(5x-7x^2+7y)\\\\=14x-3x^2+2y-5x+7x^2-7y\\\\=-3x^2+7x^2+14x-5x+2y-7y\\\\=4x^2+9x-5y[/tex]

Solve by factoring AKA zero product property method. If the equation has no real solutions, write no real solutions.
3. x^2 − 5 + 4 = 0
4. x^2 + 7 + 12 = 0

Answers

Hello,

[tex]1)\\ x^2-5x+4=0\\ x^2-4x-x+4=0\\ x(x-4)-(x-4)=0\\ (x-4)(x-1)=0\\ Sol=\{1;4\}\\\\ 2)\\ x^2+7x+12=0\\ x^2+3x+4x+12=0\\ x(x+3)+4(x+3)=0\\ (x+3)(x+4)=0\\ Sol=\{-4;-3\} [/tex]

4 students ran for class president. In the elction, Mario got 40% of the votes. Jazmyne got 35% of the votes, Arturo got 10%,and Rachel got 60 votes. How many students voted?

Answers

Rachel = 100% - 35% - 40% - 10% = 15%

15% = 60 votes

1% = 60 ÷ 15 = 4 votes

100% = 4 x 100 = 400 votes


Answer: 400 students voted

44 points, please answer this question ASAP!

Answers

add the 5 amounts:

-10 + -23 = -33

-33 + 8 + 7 + 3 = -15 cents
 now divide by the number of changes (5)


-15 / 5 = -3 cents
 the mean change is -3 cents

Answer:

-3

Step-by-step explanation:

mean = sum of terms/number of terms

mean = (-10-23+8+7+3)/5

mean = -15/5

mean = -3

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

T.A.=


Answers

Answer: Total area of the given prism is (104 + 16√13) Square inches.

Step-by-step explanation:

By the given diagram,

In the right triangular prism,

The sides of the base ( right triangle ) are 4 inches and 6 inches,

We have to finds : T.A. ( the total area of the prism )

Thus, the total base area of the prism = 2 ×  ( Area of triangle having base 4 inches and height 6 inches )

= 2× ( 1/2 × 4 × 6 )

= 4 × 6

= 24 square inches,

Let the hypotenuse of the triangles having sides 4 and 6 is x inches, ( shown in the diagram )

Thus, by the given diagram,

[tex]x^2 =4^2+6^2[/tex]

[tex]x^2 = 16 + 36[/tex]

[tex]x^2 = 52[/tex]

[tex]x=2\sqrt{13}[/tex]

Now, the total lateral area of the prism,

= 8×2√13 + 8×4 + 8×6

= 16√13 + 32 + 48

= (16√13 + 80) square inches,

Since, the total area of the given prism (T.A.) = Total base area of the prism(B.A.) + Total lateral area ( L.A.)

= 24 + 16√13 + 80

= (104 + 16√13) Square inches.

Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary. A) (0.39, 0) B) (1.00, 0) C) (2.58, 0) D) (3.00, 0)

Answers

The function f(x) = 6^(x)-2 has an x-intercept at approximately (0.39, 0)
              f(x) =  0 = 6^(x) - 2
                        2  = 6^(x)
       log(2)/log(6)= x
                          x = 0.3868 = 0.39
The answer to this question is A) (0.39, 0).

Calculus question... I need help understanding thanks.
Calculate Гx^3dx

Answers

Apply the power rule:

[tex]\displaystyle\int x^3\,\mathrm dx=\dfrac{x^4}4+C[/tex]

which holds since

[tex]\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac{x^4}4+C\right]=\dfrac{4x^3}4+0=x^3[/tex]

A toy store marks up wooden yoyos 50%. If the wholesale price of each yoyo is $2.20, what will be the price per yoyo at the cash register?

Answers

To find the price of the yoyo at the cash register, you will start with the wholesale price of $2.20 and increase it by 50%.  To calculate the final price after the markup, you will add 100% (all of the original price) to the 50% to get 150%.

150% of $2.20
1.5 x 2.2 = 3.3

The price at the register is $3.30.

Answer:

1.10

Step-by-step explanation:

because 2.2o divided by half 1/2 or 50% off is 1.10 to check your work it is 1.10+1.10=2.20

What is the equation for a circle that has a center at -6,5 and passes through the point -11,3?

Answers

(x + 6)² + (y - 5)² = r²
(-11+6)² + (3-5)² = r²
   (-5)²    +  (-2)²  = r²
    25     +    4     = r²
            29          = r²

Answer: (x + 6)² + (y - 5)² = 29

Please help me with my question

Answers

Television 
A=w *l=w* 5w=5w²
w=x+7, x- width of tablet
A=5(x+7)²=5(x²+14x+49)= 5x²+70x+245
A(television)=5x²+70x+245
"at least" means more or equal,so
5x²+70x+245≥1,050 - the answer

If tablet has width 8, x=8,
then
5*8²+70*8+245≥1050
1125≥1050 True,
so we can say
Yes, 8 in is a reasonable size for Adrew's tablet.


put the following equation in slope intercept form: 3x - 2y = 14

Answers

y = 2/3x - 7

Subtract the x term from both sides and then divide by -3. 

Choose the ratio you would use to convert 88 pounds to ounces remember that there are 16 ounces in 1 pound
A. 1 pound/16 ounces
B. 16 ounces/ 1 pound
C. 1 ounce/ 88 pounds
D. 88 ounces/ 1 pound

Answers

Your answer would be B. 16 ounces/1 pound

Answer:

The ratio that we use to convert 88 pound to ounces is:

B. 16 ounces/1 pound

Step-by-step explanation:

There are 16 ounces in 1 pound

i.e. 1 pound=16 ounces

     88 pound=88 pound × 16 ounces/1 pound

Hence, the ratio that we used to convert 88 pound to ounces is:

B. 16 ounces/1 pound

The graph of which function has a minimum located at (4, –3)?

f(x) = x2 + 4x – 11
f(x) = –2x2 + 16x – 35
f(x) = x2 – 4x + 5
f(x) = 2x2 – 16x + 35

Answers

[tex]f(x)=ax^2+bx+c[/tex]

The graph of this function has minimum if a > 0.

Minimum is in point (h; k) where:

[tex]h=\dfrac{-b}{2a};\ k=f(h)[/tex]

[tex]minimum(4;-3)\to h=4;\ k=-3[/tex]

[tex]f(x)=x^2+4x-11;\ a=1 > 0;\ b = 4\\\\h=\dfrac{-4}{2\cdot1}=-2\neq4[/tex]

[tex]f(x)=-2x2+16x-35;\ a=-2 < 0[/tex]

[tex]f(x)=x^2-4x+5;\ a=1 > 0;\ b=-4\\\\h=\dfrac{-(-4)}{2\cdot1}=\dfrac{4}{2}=2\neq4[/tex]

[tex]f(x)=2x^2-16x+35;\ a=2 > 0;\ b=-16\\\\h=\dfrac{-(-16)}{2\cdot2}=\dfrac{16}{4}=4\\\\k=f(4)=2\cdot4^2-16\cdot4+35=2\cdot16-64+35=32-64+35=3\neq-3[/tex]

Answer: Any graph of this functions hasn't a minimum located at (4; -3).

If the coordinates of minimum are (4; 3),
then your answer is f(x) = 2x² - 16x + 35

Answer:

f(x) = 1/2x^2 – 4x + 5  (the third option)

Step-by-step explanation:

On ed :)

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!! What is the simplified form of the expression (3x^7/2)^6 (x^2)^6

A. x^33
B. 3x^29
C. 729x^29
D 729x^33

Answers

[tex](3x^ \frac{7}{2} )^6(x^2)^6= (729x^{21})(x^{12}) = 729x^{33}[/tex]
The correct option is: Option (D) 729x^33

Explanation:
Given expression: 
[tex](3x^{7/2})^6 (x^2)^6 \\ (3^6x^{42/2})(x^{12}) \\ 729x^{21+12} \\ 729x^{33} \\[/tex]

Which is option (D)

Hal’s sporting Goods had a 1 day sale. The original price of a mountain bike we 325. In a sale it was 276.25. What is the percent decrease for this sale?

Answers

Well, the decrease of the amount would be $48.75 then you would divide this by how the original price which is $325, so the answer would be about 6% decrease.
Decrease = 325 - 276.25 = $48.75

Percentage decrease = 48.75/325 x 100 = 15%

Answer: 15%
Other Questions
When the hydroxyl group, like in the image below, is attached to a carbon compound, the organic compound is a(n) A hydrogen atom covalently bonded to an oxygen atom, which is covalently bonded to a carbon in the carbon chain. carboxylic acid. alcohol. ether. ketone. THE RIGHT ANSWER WILL RECIEVE A BRAINLEST AND POINTS!!!if someone has diabetes please help ill add some question s to who has diabetes and please answer them.1.)What was your reaction when you knew that you have diabetes?2.)Did diabetes effect on your life negatively ?3.)How did you feel when your blood/sugar level increased or decreased?4.)How many injections do you get in a day?5.)What struggles did you go through?6.)Do you have a limit amount of food to eat?7.)Do you eat unhealthy food after your know that you have diabetes?8.)What is the highest or lowest blood/sugar level did you reach to?9.)Is there a specific food you need to eat?10.)At which age did you get diabetes?11.)How much is your sugar level usually?12.)When did you find out that you have diabetes? how much would $200 invested at 4% interest compounded monthly be worth after 8 years round your answer to the nearest tenth Which statement will most effectively communicate your refusal Yvette and bobby like each other and have been in many classes together, but don't know each other personally very well. bobby asks yvette to go walking with him one day to a secluded area so that they can talk privately and get to know each other. what should yvette do? The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 8:5. If there are no additional butterflies at the farm, what is the ratio of Queen butterflies to the total number of butterflies at the farm? What is 40,630 written in scientific notation? The Camp David Accords were agreements brokered by President Carter (center) and involved what two countries (whose leaders are to the President's sides)? A)Israel and Palestine B)Israel and Egypt C)Italy and Libya D)Iran and Iraq Dennis thought of a number. He adds 0.5 to that number and then multiplies the new result by 4. He then subtracts 2 and divides the number by 2. His final answer is 48. What number did Dennis start with? what is the main purpose of the 4th amendment Amy has for gerbils Which Way 20 G 22 G 24 and 26 G what is the total weight of the gerbils in milligrams Suppose it costs $15 to roll a pair of dice. you get paid 2 dollars times the sum of the numbers that appear on the dice. what is the expected payoff of the game? is it a fair game? _____ is the tendency to assume that a person has generally positive or negative traits as a result of observing one major positive or negative trait. La madre de Yolanda la recogi de la escuela a las tres. said goodbye went with picked up chatted simplify. x-2/(x^2+4x-12) how did the division of germany after world war 2 affect the relationship between the soviet union and the united states? Mechanisms such as direct criticism, ridicule, ostracism, desertion, or physical punishment are considered what form of social control Which is a characteristic of all nonfoliated metamorphic rocks? A steam turbine operates at a boiler temperature of 450 k and an exhaust temperature of 300 k. what is the maximum theoretical efficiency of this system? #2 The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 57 mushroom pizzas and 38 pepperoni pizzas. What percentage of the pizzas were mushroom pizzas?