the table shows the maximum and minimum account balances for three college students for one month Giovanni claimed that he had the least variation from maximum to minimum in his account balance that month is he correct? write a mathematical argument to justify your solution
Answers
Yes, it should be that.Giovanni's account balance has the least variation from maximum to minimum that month.
How to illustrate the information?It should be noted that the formula for calculating the variation is;
Balance difference = Maximum balance - Minimum balance.
For Jordan;
Maximum balance = $145.
Minimum balance = $-25
Balance difference = 145 - (-25) = $170
For Giovanni;
Maximum balance = $168.
Minimum balance = $15.
Balance difference = 168 - 15 = $ 153.
For Elisa;
Maximum balance = $152.
Minimum balance = $-10
Balance difference = 152 -(-10) = $162.
Therefore, for the data it is clear that the minimum account variation is for Giovanni which is $153.
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Related Questions
I need help nowwwe!! Please help asap
I will brainliest if you will
Answers
Answer:
Step-by-step explanation:
The domain of the function is [-3,5]
The range of the function is [-16,infinity)
X=3 is a zero of the function
X = -3 is a zero of the function
A survey of a club's members indicates that 40% own a home, 90% own a car, and 95% of the homeowners who subscribe also own a car
What is the probability that a club member owns neither a house nor a car?
Answers
The probability that a club member owns neither a house nor a car is 0.08 or 8%.
As per the survey of a club's members-
percentage of members who own a home 40% = 0.4
percentage of members who own a car → 90% = 0.9
Further, 95% of the homeowners also own a car
⇒ percentage of members who own a car as well as a home = 95% of 40%
= 95/100 x 40/100
= 3800/10000
= 0.38
Let P(A) be the probability that a member owns a home and P(B) be the probability that a member owns a car
we have,
P(A) = 0.4
P(B) = 0.9
also P(A∩B) = 0.38
we need to find the probability that a club member owns neither a house nor a car, that is, P(A'∩B')
According to the rules of probability-
P(AUB) = P(A) + P(B) - P(ANB)
⇒ P(AUB) = 0.4 +0.9 -0.38
P(AUB) = 0.92
Thus, P(A'U B') = 1 - 0.92
= 0.08
Thus, the probability that a club member owns neither a house nor a car is 0.08 or 8%.
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PLEASE HELP! If a factor of the denominator of a rational function cancels with a factor of the numerator and the inequality is closed, then the zero of the canceled factor should be included in the solution for the inequality.
True or False?
Answers
Answer:
False. If a factor of the denominator of a rational function cancels with a factor of the numerator, the zero of the canceled factor should not be included in the solution for the inequality.
Step-by-step explanation:
Give me Brainliest if that helped! :)
Shirley, Benny, and Gil have a coupon for $2.00 off a large pizza. They each pay one
third of the total after the discount. If each person pays $6, how much was the total
before the discount?
Answers
Answer:
20 dollars
Step-by-step explanation:
Because there is 3 people according to where it said the amount of names there are and they each had to pay 6 dollars. 6 x 3 is 18. That is the price after discount. The coupon is 2 dollars so 18 + 2 is 20 dollars. That is the final price.
Each person in a community was asked, “what is your favorite type of pet?” The pie chart below summarizes their responses
Answers
From pie chart, responses of community for each category is
a. One fourth of community chosen by cat category.
b. Approximately 30% of community chosen cat or other.
c. If 6% chosen None then dog was chosen by approximately 18%.
As given,
From pie chart ,responses of community for each category is
Bird>cat>dog>fish>none>other
Fish+ none +other +cat=Approximately 50%
a. Cat chosen by approximately 25%.
b. Cat or Other= Approximately 30%
c. If 6% chosen None then dog
Approximately three times of none=6×3
= 18%.
Therefore, from pie chart
a. One fourth of community chosen by cat category.
b. Approximately 30% of community chosen cat or other.
c. If 6% chosen None then dog was chosen by approximately 18%.
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FIRST PERSON TO ANSWER GETS 50 POINTS HELP ME OUT HERE
Answers
The equation has infinite solutions.
The value of x that makes the equation true is: 2. After substitution, we would have: 8 = 8
Another value of x that makes the equation true is: 3. After substitution, we would have: 10 = 10
What are Infinite Solutions of an Equation?If an equation has infinite solutions, it means that any value of the variable in the equation would make the equation true.
Given the equation, 2(x + 2) = 2x + 4, the value of x that makes the equation true is: 2.
Substitute x = 2 into the equation and simplify it would make both sides equal:
2(2 + 2) = 2(2) + 4
8 = 8
Another value of x that makes the equation true is: 3.
Substitute x = 3 into the equation and simplify it would make both sides equal:
2(3 + 2) = 2(3) + 4
10 = 10
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Evaluate 8+3e when e=2
Answers
The value of 8+3e when e=2 will be 14.
How to compute the expression?It should be noted that the equation or expression is given as:
8 + 3e
Therefore, we will put the value of E as 2 int the equation. This will be:
8 + 3e
= 8 + 3(2)
= 8 + 6
= 14
The value is 14.
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PLS HELP!! ILL GIVE BRAINLYEST!!
The school cafeteria serves portions of fried rice that are 140 grams each.
A. If 64 portions of rice are served, how many grams of rice would that be?
B. Write an expression for the total weight in grams of rice needed for p portions.
C. One day, the total weight of rice served was 11,340 grams. How many portions were served that day?
D. Write an expression for the number of portions served if the total rice weighed t grams
Please answer all questions
Answers
A. The grams of rice served for 64 portion is 8960 grams.
B. The expression for the total weight in grams of rice needed for p portions is 140p.
C. The portion when a total weight of 11340 grams was served is 81 portion
D. The expression for the number of portions served if the total rice weighed t grams is t / 140
How to find the expression for the number of grams served?The school cafeteria serves portions of fried rice that are 140 grams each.
A.
64 portions of rice are served. The grams of rice served is as follows:
1 portion = 140 grams
64 portions = ?
cross multiply
grams of rice served = 64 × 140
grams of rice served = 8960 grams
B.
The expression for the total weight in grams of rice needed for p portions is as follows:
total weight = 140p
C.
The portion when a total weight of 11340 grams was served is as follows:
140 grams = 1 portion
11340 grams = ?
portion = 11340 / 140
portion = 81 portion
D.
The expression for the number of portions served if the total rice weighed t grams is as follows:
portion = t / 140
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2. Which expression is not equal to the
number 0?
5-5
-7+7
6-(-6)
-8- (-8)
Answers
I hope this helps! :)
Someone please help me with this problem.
Answers
The line over the 5 represents the number being ongoing, non terminating
Just confused with the remainder
Answers
Answer:
its the first one
146 r 6
hope this helped! :)
4. The table represents a proportional relationship. Find the constant of proportionality and write an equation to represent the relationship. (Lesson 2-4) a 2 3 10 12 y Equation: y = W|N 2 3 1 10 3 4 Constant of proportionality:
Answers
4 and 3.14 are the constant of proportionality .
What does the arithmetic word proportional mean?
In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.There is a correlation between the quantity of fuel we put in our car's tank and the price we will have to pay when we fill it up. In other words, we will pay more money the more gas we put in.2×4 = 8
2×3.14=6.28
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what are the ordered pairs of y=3x-5
Answers
Infinitely many others are possible.
=================================================
Explanation:
Replace x with 0 and simplify to get...
y = 3x-5
y = 3(0)-5
y = 0-5
y = -5
When x = 0, it leads to y = -5
One ordered pair is (x,y) = (0, -5)
Let's repeat those steps for x = 1
y = 3x-5
y = 3(1)-5
y = 3-5
y = -2
Another ordered pair is (1, -2)
As you can see, we can pick anything we want for x to get some paired y output. There are infinitely many x values to pick from. This means there are infinitely many ordered pairs for (x,y).
When it comes to graphing, you only need two points at minimum to form a straight line.
estion 5(Multiple Choice Worth 2 points)
(Laws of Exponents with Integer Exponents LC)
Which is an equivalent expression for
•*•*
°0.0*
•*•*
°0.0*
0.0)
Answers
The equivalent expression for [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] is [tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex] (option D)
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
Given: [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] is the expession.
Now, multiplying (-1) power within the brackets,
=[tex](\frac{5}{7}) ^{-2}*(\frac{1}{3} )^{3}[/tex]
If power is in negative, fraction can be reciprocated to make the power positive. So,
=[tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex]
Option D
Hence, the equivalent expression for [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] can be written as [tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex].
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Match the statements defined below with the letters labeling their equivalent expressions.
1. |x−4|=8
2. |x−4|≥8
3. |x−4|>8
4. |x−4|<∞
5. |x−4|≤8
A. x∈(−∞,∞)
B. x∈[−4,12]
C. x∈(−∞,−4)∪(12,∞)
D. x∈(−∞,−4]∪[12,∞)
E. x∈{−4,12}
Answers
Use the definition of absolute value to rewrite each equation or inequality.
[tex]|x| = \begin{cases} x & \text{if } x\ge0 \\ -x & \text{if }x < 0 \end{cases}[/tex]
1. (E) From the definition it follows that
[tex]x-4 \ge 0 \implies |x-4| = x-4 = 8 \implies x = 12[/tex]
[tex]x-4 < 0 \implies |x-4| = -(x-4) = 4-x = 8 \implies x = -4[/tex]
Then the solution set contains exactly 2 elements, and we write it as shown in choice (E), [tex]x\in\{-4,12\}[/tex].
2. (D) We solve the inequality in essentially the same way as in (1), we just need to keep track of the direction of the inequality.
[tex]x-4\ge0 \implies|x-4|=x-4\ge8 \implies x\ge12[/tex]
[tex]x-4<0 \implies|x-4|=4-x\ge8 \implies x\le-4[/tex]
Note the inclusion of [tex]x=12[/tex] and [tex]x=-4[/tex]. We write this as a union of two half-closed intervals, [tex]x\in(-\infty,-4]\cup[12,\infty)[/tex].
3. (C) This follows from the same steps as in (2). This time the inequality is strict, so we exclude the endpoints and with open intervals write [tex]x\in(-\infty,4)\cup(12,\infty)[/tex].
4. (A) Since [tex]|x|[/tex] always returns a non-negative number, any real number [tex]x[/tex] satisfies the inequalty [tex]|x-4|<\infty[/tex]. We write the solution set as the entire real line, [tex]x\in(-\infty,\infty)[/tex].
5. This leaves us with (B) for the last solution set. This inequality is complementary to the one in (3), which means the solution set to [tex]|x-4|\le8[/tex] is the complement of the set we found in (3). That interval removes everything between and including -4 and 12 from the real line. So the solution in this case is what we omit from the solution to (3), and we write [tex]x\in[-4,12][/tex].
Our class planned a holiday party for disadvantaged kids. Some of us baked
cookies for the party. On the day of the party, we found we could divide the
cookies into packets of two, three, four, five, or six and have just one cookie
left over in each case. If we divided them into packets of seven, there would
be no cookies left over. What is the least number of cookies the class could
have baked?
Answers
Answer:x=1.
Step-by-step explanation:
3x-x+2=4
a baseball is tossed up into the air at an initial velocity 16 m/s. The
height of the baseball at time t in seconds is given by h(t) = 16t - 4.9t² (in meters).
Answers
Answer: Average velocity = 11.1 m/s
Step-by-step explanation:
Given data,
A baseball is tossed up into the air at an initial velocity = 16 m/s.
The height of the baseball at time t in seconds is given by,
h(t) = 16t - 4.9t² (in meters).
So,
The average velocity is,
To calculate the velocity travelled by the ball, differentiate the function.
dh/dt = 16 - 2(4.9t)
dh/dt = 16 - 9.8t (eq-1)
Let us assume, t = [1,1.5]
Substitute t for 1 in the above Differential function
dh/dt = 16 - 9.8 (1)
But ,
dh/dt = velocity
So, dh/dt = V
V = 16 - 9.8
V = 6.2 m/s
Therefore,
Average velocity = ( U + V ) / 2
Average velocity = (16 + 6.2)/2
Average velocity = 22.2/2
Average velocity = 11.1 m/s
Hence, Average velocity = 11.1 m/s.
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NEED HELP!
PLEASE HELP
Answers
Answer:
J and I
Step-by-step explanation:
If possible use a graphing calculator this is from Desmos
If you are not allowed to then use the rise over run rule or Rise/run
if the constants or numbers Infront of x match then the lines are parallel for these kinds of lines. The black line was added to show that it is parallel with the same constant
Alguien sabe como calcular esto de binario a decimal?
Answers
11 00 11 00 = 204
nice :)
The vertex of this is at parabola is at (-1, -3). Which could be its equation?
Answers
Answer:
What are the options I can choose from?
Step-by-step explanation:
for all values of x, f(x)=x/5 +3
Answers
Answer:
f(g(x)) = 2x² + 4
Step-by-step explanation:
to evaluate f(g(x)) substitute x = g(x) into f(x) , that is
f(g(x))
= f(10x² + 5)
= [tex]\frac{10x^2+5}{5}[/tex] + 3
= [tex]\frac{10x^2}{5}[/tex] + [tex]\frac{5}{5}[/tex] + 3
= 2x² + 1 + 3
= 2x² + 4
Lines I and m are parallel. Find m<3 if m<5 = 38 and m<6 = 62.
100
62
80
38
Answers
Answer: 80 degrees ==> 3rd option
Step-by-step explanation:
m<5=m<2 ==> angles 5 and 2 are opposite interior angles, so they're congruent.
m<2=38 degrees
m<2+m<6+m<3=180 degrees
38+62+m<3=180
100+m<3=180
m<3=80 degrees ==> 3rd option
A line has a slope of 1/6 and passes through the point (-9, -8). What is its equation in point- slope form?
Answers
Answer:
y+8=1/6(x+9)
Step-by-step explanation:
point slope: y - y1 = m ( x - x1 )
use the point and the slope and plug in the values in the point slope equation
Estimate 219÷15 by first rounding each number so that it has only 1 nonzero digit.
Answers
The estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.
We are given the expression:
219 ÷ 15
We need to estimate the result by first rounding off the digits to nearest tens and then performing division to get the answer.
So, we will first do the round off.
219 will be rounded off to 220
15 will be rounded off to 20
So, the expression will become:
220 ÷ 20
So, now performing the division, we get that:
= 11
Therefore, the estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.
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1. Find the domain and range of the function shown in the table.
X
y
-2
6
-1
5.5
0
4
3.5
0
4
-1
5.5
-1
8
-3.5
Answers
Answer:
The domain of this function is (in order of least to greatest) is [-2,-1,0,3.5,4,5.5, and 8]
The range of this function is (in order from greatest to least) is [6,5.5,4,0,-1, and -3.5]
Step-by-step explanation:
To find the domain you need to look at all of you input or x values so the question is asking to name the values of x for your domain. You look at the table to where x is and name the numbers listed in this case it's [-2,-1,0,3.5,4,5.5, and 7]
To find the range you need to look at the listed outputs or y values. You are essentially doing the same steps but instead you looking at y for the listed values. Generally when it comes to domains that have the same range (for example (4,-1) and (5.5,-1)) you would only write it once in the list of ranges so like [6,5.5,4,0,-1, and -3.5]
The long hand of a clock turns from 2:00pm to 2:15pm. What part of a turn did the long hand make?
Answers
Answer: A quarter turn
Step-by-step explanation:
A sample of 10 NCAA college basketball game scores provided the following data. Winning Team
Answers
The exchange rate for US dollars to Canadian dollars is 0.77. What is the value of $200 US dollars
Answers
[tex]\begin{array}{ccll} US\$&CA\$\\ \cline{1-2} 0.77 & 1\\ 200& c \end{array} \implies \cfrac{0.77}{200}~~=~~\cfrac{1}{c} \\\\\\ 0.77c=200\implies c=\cfrac{200}{0.77}\implies c\approx 259.74[/tex]
What is .0006 in a percent
Answers
Answer:
.06%
Step-by-step explanation:
multiply the number by 100 to get it as a percentage
Answer:
0.0006 = 0.06%
Hope this helps :)
Hope this helps :)Explanation below.
Step-by-step explanation:
To convert a decimal to a percent, move the decimal 2 times to the right.
0.0006 = 0.06%
↑JJ
Can someone explain this please ? So I think the first part is -8x-4=8x-2 ?
Answers
Answer:
-4×(2×1)=8x-2-4
solve in ( )
-4×3=8x-2-4
multiply -4 to 3
-12=8x-2-4
add 2 and 4 to both sides
-6=8x
divide -6 to 8 and you will get the answer
x=-0.75
Answer:
x = -0.25 (or) -1/4
Step-by-step explanation:
Let's solve the problem,
→ -4 × (2 × 1) = 8x - 2 - 4
→ -4 × 2 = 8x - 6
→ -8 = 8x - 6
→ 8x = -8 + 6
→ x = -2/8
→ [ x = -0.25 ]
Thus, solution is -0.25.
