MATHEMATICS COLLEGE

Suppose you have saved m dollars for the party. Since you have been doing a lot of chores, your father decides to give you double the amount you have saved. You spend s dollars to throw the party. Which expression represents the amount of money you have left?

Answers

Answer 1

Answer:

Answer:

m+2m-s

Step-by-step explanation:

Answer 2

Answer:

Answer:

A: M + 2m - s

Step-by-step explanation:

Related Questions

40% as fraction and decimal
Which expression is equivalent to the given expression?12(x – 17) A. 12x – 29 B. 12 + 12 • 17 C. 12x – 12 • 17 D. 12x – 17
Suppose a square garden represented by 16x² ft2.a. What is the length of each side?----- -b. What is the perimeter of the garden?--------------c. If each side was increased by 5 feet what would be the new perimeter?
Given the age in years, t, of a water-transport pipe, the formula R = 17 + 4 t can be used to predict the rate of water leakage (in gallons per minute) from the pipe as it carries water from the headquarters of a farming cooperative to farmland a mile away. What is the meaning of the constant 17 in the function R ?A. Initially the pipe leaks at 4 gallons per year. B. Initially the pipe leaks at 17 gallons per year. C. Initially the pipe leaks 17 gallons. D. Initially the pipe leaks at 4 gallons per minute. E. Initially the pipe leaks 4 gallons. F. Initially the pipe leaks at 17 gallons per minute.
Which number line represents the solutions to lx - 5| = 1?

Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)

Answers

Answer:

$x_1 = 5, x_2 =11, y_1 =9, y_2 = -3$

The slope can be founded with this formula:

$m =(y_2 -y_1)/(x_2 -x_1)$

And replacing we got:

$m =(-3 -9)/(11-5)= -2$

And the best answer for this case would be :

$m=-2$

Step-by-step explanation:

For this case we have the following two points given:

$x_1 = 5, x_2 =11, y_1 =9, y_2 = -3$

The slope can be founded with this formula:

$m =(y_2 -y_1)/(x_2 -x_1)$

And replacing we got:

$m =(-3 -9)/(11-5)= -2$

And the best answer for this case would be :

$m=-2$

Find the length of the missing triangle

Answers

Answer:

The pythagoras's theorem is the relation between the sides of a right-angles triangle, it shows that the square of the hypotenuse of the triangle will be equal to the sum of squares of the remaining sides

hypotenuse² = perpendicular² + base²

replacing the variables with the sides of the given triangle:

x² = 15² + 8²

x² = 225 + 64

x² = 289

x = √289

x = 17 mi

Choose the correct order of steps to solve the equation x/2+5=9 ? I. Multiply both sides by 2 II. Add 5 to both sides III. Divide both sides by 2 IV. Subtract 5 from both sides

Answers

subtract 5 from both sides

The steps you take to solve an equation of this sort are informed by the Order of Operations. Look at what operations are performed on the variable when you evaluate this equation. They are

• x is divided by 2

• 5 is added to the quotient

To solve for x, you "undo" these operations in reverse order. To "undo" addition, you perform subtraction. Here, you (IV.) subtract 5 from both sides as the first step of your solution.

Then you undo the division by 2. To "undo" division, you perform multiplication. Here, you (I.) multiply both sides by 2 as the second step of your solution.

In summary, the order of steps you would take to solve this equation is

... IV

... I

_____

x/2 + 5 = 9

x/2 = 4 . . . . . . . . subtract 5

x = 8 . . . . . . . . . . multiply by 2

Note that in our description of the operation we performed, we simply say "subtract 5" because the properties of equality require that you do that to both sides of the equation.

A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let Xrepresent the number of occupants in a randomly chosen car.a. Find the probability mass function of X.

b. Find P(X ≤ 2).

c. Find P(X > 3).

d. Find μX.

e. Find σX

Answers

Answer:

a) X 1 2 3 4 5

P(X) 0.7 0.15 0.10 0.03 0.02

b) $P(X \leq 2) = P(X=1) +P(X=2) = 0.7+0.15=0.85$

c) $P(X >3) = 1-P(X \leq 3) = 1-[P(X=1) +P(X=2)+P(X=3)]=1-[0.7+0.15+0.1]= 0.05$

d) $E(X) = \sum_(i=1)^n X_i P(X_i) = 1*0.7 +2*0.15+ 3*0.1+4*0.03+ 5*0.02= 1.52$

e) $E(X^2) = \sum_(i=1)^n X^2_i P(X_i) = 1*0.7 +4*0.15+ 9*0.1+16*0.03+ 25*0.02=3.18$

$Var(X) = E(X^2) -[E(X)]^2= 3.18- (1.52)^2 = 0.8996$

$\sigma= √(Var(X))= √(0.8996)= 0.933$

Step-by-step explanation:

Part a

From the information given we define the probability distribution like this:

X 1 2 3 4 5

P(X) 0.7 0.15 0.10 0.03 0.02

And we see that the sum of the probabilities is 1 so then we have a probability distribution

Part b

We want to find this probability:

$P(X \leq 2) = P(X=1) +P(X=2) = 0.7+0.15=0.85$

Part c

We want to find this probability $P(X>3)$

And for this case we can use the complement rule and we got:

$P(X >3) = 1-P(X \leq 3) = 1-[P(X=1) +P(X=2)+P(X=3)]=1-[0.7+0.15+0.1]= 0.05$

Part d

We can find the expected value with this formula:

$E(X) = \sum_(i=1)^n X_i P(X_i) = 1*0.7 +2*0.15+ 3*0.1+4*0.03+ 5*0.02= 1.52$

Part e

For this case we need to find first the second moment given by:

$E(X^2) = \sum_(i=1)^n X^2_i P(X_i) = 1*0.7 +4*0.15+ 9*0.1+16*0.03+ 25*0.02=3.18$

And we can find the variance with the following formula:

$Var(X) = E(X^2) -[E(X)]^2= 3.18- (1.52)^2 = 0.8996$

And we can find the deviation taking the square root of the variance:

$\sigma= √(Var(X))= √(0.8996)= 0.933$

Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed below are the measured radiation absorption rates (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?
0.950.95
0.730.73
0.630.63
0.910.91
1.321.32
1.481.48
0.630.63
1.231.23
0.910.91
1.411.41
0.670.67
The range of the sample data is
nothing
▼
(Round to three decimal places as needed.)
Sample standard
deviationequals=nothing
▼
kg.kg.
left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.
W.W.
Upper W divided by kg.W/kg.
(Round to three decimal places as needed.)
Sample
varianceequals=nothing
▼
kg.kg.
left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.
Upper W divided by kg.W/kg.
W.W.
(Round to three decimal places as needed.)
If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?
A. No, because it is necessary to have at least 5 of each cell phone in order to get a meaningful result. Only including one of each cell phone model is not representative of each cell phone model.
B. Yes, because the results from any sample of cell phones will be typical of the population.
C. Yes, because each model is being represented in the sample. Any sample that considers all possible cell phone models will produce results typical of the population of cell phones.
D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Answers

Answer:

$Range = 1.48-0.63=0.850 W/kg$

$s= 0.320 W/Kg$

$s^2 = 0.320^2= 0.103 W^2 /kg^2$

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

For this case we have the following data values:

0.95,0.73,0.63,0.91,1.32,1.48,0.63,1.23,0.91,1.41,0.67

The first step on this case is order the datase on increasing way and we got:

0.63 0.63 0.67 0.73 0.91 0.91 0.95 1.23 1.32 1.41 1.48

The range is defined as $Range = Max-Min$

And if we replace we got:

$Range = 1.48-0.63=0.850 W/kg$

The sample standard deviation is given by this formula:

$s= \sqrt{(\sum_(i=1)^n (X_i -\bar X)^2)/(n-1)}$

And if we replace we got $s= 0.320 W/Kg$

And the sample variance is just the standard deviation squared so we got:

$s^2 = 0.320^2= 0.103 W^2 /kg^2$

And for the last question about : If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?

We can conclude this:

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Determine whether the value is from a discrete or continuous data set. Area of a park is 9.5 acres Is the value from a discrete or continuous data set? Discrete Continuous O

Answers

Answer: The value is from discrete data set.

Step-by-step explanation:

Since we have given that

Discrete data set is the data set which can be measured in numbers.

Continuous data set is the data set which can take any value within an interval.

As we have mention that

Area of a park = 9.5 acres

So, it is the exact number so, it can be measured in numbers.

so, it is discrete data set.

Hence, the value is from discrete data set.

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