D.) Quadrant lll or Quadrant IV
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A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?
To solve this problem, we have to find the multiples of 3 and then find the probability of selecting them. The probability of having a multiple of 3 is 1/3.
Probability of tossing a fair dice.The probability of tossing a six-sided dice and a eight-sided dice.
When we toss them together, the maximum value will be
[tex]6 * 8 = 48[/tex]
The multiplies of 3 will be
Data;
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48The probability of having a multiple of 3 will be
[tex]P(multiple of 3) = \frac{16}{48} = \frac{1}{3}[/tex]
The probability of having a multiple of 3 is 1/3
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Which of the following expressions could be used to represent "the difference between -17 and -8"?
-8 - (-17)
-17 - 8
-17 - (-8)
-8 + (-17)
Answer:
-17 - (-8)
Option 3 is correct.
Step-by-step explanation:
Phrase: "the difference between -17 and -8"
Expression: To write the phrase into algebraic form with a variable or constant.
Difference: write two number using subtraction between them.
"the difference between -17 and -8"
First number is -17 and second number is -8
Expression: -17 difference -8
Now using minus sign write as expression.
[tex]\Rightarrow -17-(-8)[/tex]
Hence, The correct expression is -17-(-8)
Given: line segment AB≅line segment BC
Prove: The base angles of an isosceles triangle are congruent.
The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent.
Statement Reason
1. segment BD is an angle bisector of ∠ABC. 1. by Construction
2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector
3. segment BD ≅ segment BD 3. Reflexive Property
4. 4. Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA 5. CPCTC
Which statement can be used to fill in the numbered blank space?
A. ΔDAB ≅ ΔDBC
B. ΔABD ≅ ΔABC
C. ΔABC ≅ ΔCBD
D. ΔABD ≅ ΔCBD
In the given two column proof two sides and included angles are equal.
Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.
The correct option for missing statement is D. ΔABD ≅ ΔCBD .
Answer:
ΔABD ≅ ΔCBD
Step-by-step explanation:
Guys this is the right answer, ΔABD ≅ ΔCBD. I got it right on my test!
Toby just graduated from four years of college. At the beginning of each year, he took out a Stafford loan with a principal of $6,125. Each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. All of the loans were subsidized. Toby plans to pay off each loan in monthly installments, starting from his graduation. What is the total lifetime cost for Toby to pay off his 4 loans? Round each loan's calculation to the nearest cent.
a.
$7,904.04
b.
$31,616.16
c.
$10,393.82
d.
$36,490.25
Would appreciate if you could show the work for how this is done.
p.s. I later submitted this question and the answer is B.
The cost that's necessary to pay the loan will be $31,616.16.
How to calculate the cost of the loanFirst, we need to calculate the effective monthly interest rate. This will be:
i = 0.053/12
= 0.0044
The effective annual interest rate will then be:
i = (1 + 0.0044)^12 - 1
I = 0.0543
Next thing will be to calculate the present worth of all the loans which will be:
P = 6125 + 6125 (1 + 0.0543) + 6125 (1 + 0.0543)² + 6125(1 + 0.0543)³
P = $22,671.40
The worth of the loans after four years will be:
P = 22671.40 (1 + 0.0543)⁴
= $31,616.16
In conclusion, the correct option is $31,616.16.
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To calculate the total cost of Toby's 4 Stafford loans, the monthly amount for one loan is first calculated and then multiplied by four and by the number of months. The correct total lifetime cost is approximately $31,569.60.
To determine the total lifetime cost that Toby will pay to pay off his 4 Stafford loans, each with a principal of $6,125, an interest rate of 5.3% compounded monthly, and a loan duration of ten years, we need to calculate the monthly payment for a single loan and then multiply by the number of loans and the duration. The formula for the monthly payment on an installment loan is:
P = P[r(1+r)^n] / [(1+r)^n - 1]
where:
P is Principle Amountr is rate of interestn is time in yearsUsing the data given:
P = $6,125 * [0.004417(1 + 0.004417)^120] / [(1 + 0.004417)^120 - 1]
Calculating this gives us a monthly payment of approximately $65.77 for each loan. Toby took out 4 loans, so his total monthly payment is 4 * $65.77 = $263.08.
The total lifetime cost for a single loan is the monthly payment * number of payments (120), which is:
Total cost for one loan = $65.77 * 120 = $7,892.40
And the total lifetime cost to pay off all 4 loans:
Total cost for all loans = $7,892.40 * 4 ≈ $31,569.60
Therefore, rounding each loan's payment to the nearest cent, the total lifetime cost to pay off all 4 of Toby's loans is roughly $31,569.60, making the answer option b the correct one.
how do I solve : COT pi/4 ...?
What is 12 less than 15 times x?
Select the postulate that is illustrated for the real numbers.
3 + 2 = 2 + 3
The commutative postulate for multiplication
Multiplication identity
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
The addition of zero postulate
The multiplication inverse
"What is element a23 in matrix A
"
Answer: The answer is (A) -5.
Step-by-step explanation: We are given to find the element [tex]a_{23}[/tex] in the following matrix:
[tex]A=\begin{bmatrix}8 & -4 & -3\\ 3 & -9 & -5\\ -8 & 8 & 8\end{bmatrix}[/tex]
We know that [tex]a_{mn}[/tex] is an element of a matrix present in the m-th row and n-th column.
So, [tex]a_{23}[/tex] will be the element present in the second row and third column.
Since the element in the second row and third column is - 5, so we have
[tex]a_{23}=-5.[/tex]
Thus, (A) -5 is the correct option.
To travel 105 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 64 miles riding a bicycle. Sue travels 13 miles per hour faster than Doreen. Find the times and rates of both girls.
10m - p = -n for m please help, I need help
What is "the ratio of a line's rise over its run?"
Tomas orders a meal the costs $7.89.lisa's meal costs $9.05. about how much is combined cost if their meals?
What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?
A _______________ is where a horizontal number line and a vertical number line intersect at their zero points.
The graph of a line gets _____ as the absolute value of the slope gets bigger.
A. longer
B. shorter
C. steeper
D. less steep
10 with a small 6 on top is
Maricella has a bag containing 35 nickles and quarters.The total value of these coins is less than $2.50. What is the maximum number of quarters that meets these conditions?
Use the SAS Congruence Axiom to prove the ASA criterion ...?
multiply 3/7 x 14
...?
The simplified product of 3/7 multiplied by 14 is 6.
To multiply 3/7 by 14, you can follow these steps:
Multiply the numerators: 3 x 14 = 42.
Multiply the denominators: 7 x 1 = 7.
Therefore, the product of 3/7 multiplied by 14 is 42/7.
However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 7.
= 42/7
= 6/1
= 6.
So, the simplified product of 3/7 multiplied by 14 is 6.
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Fractions that are equivalent to1/2
Estaban has a big jar of change in his room. he has 600 coins in total, 240 of them are pennies. what percentage of the coins are pennies
Choose all correct answers. Which of the following ordered pairs are solutions of the system, y > 3 and y < 2x + 2
A. (0, 2)
B. (2, 4)
C. (3, 5)
D. (-2, 0)
Y=1.40x 14.25 solving for x
1. A local pizzeria sold 65 pizzas yesterday.
(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
(b) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
Answer: 1) Pizzeria must sell 78 pizzas for receiving the bonus.
2) The number of pizzas sold is decreased by Approximately 7.69 %.
Step-by-step explanation:
1) The number of pizza sold yesterday = 65,
The target for receiving the bonus = 20% more than the number of pizza sold yesterday
= 20% more than 65,
= 65 + 20% of 65 ( 1% = 0.01 ⇒ 20% = 0.2 )
= 65 + 0.2 × 65
= 65 + 13 = 78.
Hence, they must sell 78 pizzas for receiving the bonus.
2) If the actual number of pizza sold today = 60
⇒ Total reduction in the number of pizza = 65 - 60
= 5
Thus, the percentage decrease in the number of pizza
[tex]=\frac{\text{Total reduction}}{\text{The number of pizza sold yesterday}}\times 100[/tex]
[tex]=\frac{5}{65}\times 100[/tex]
[tex]=\frac{500}{65}=7.69230769\approx 7.69\%[/tex]
What is the equation for this slope question??
4.)The line whose slope is half as great as Its y-intercept. Their sum is 1.
We are given that the slope is half the y-intercept and their sum is 1. Using these conditions we can solve for b and m (which represent y-intercept and slope) and we find that b=2/3 and m=1/3. Therefore, the equation of the line is y = 1/3x + 2/3.
Explanation:The question is about finding the equation of a line from given conditions. We know that the equation of a line is typically written in the form y = mx + b, where m is the slope and b is the y-intercept. We are given two conditions: the slope is half the y-intercept, and their sum is 1.
Let's assume that the y-intercept is b and the slope is m. Now we can substitute the value of m from the first equation into the second. This gives us: b + b/2 = 1. Solving this, we get b = 2/3 and therefore, m = 1/3.
So, the equation of the line is y = 1/3x + 2/3.
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What percentage of Anchor Global Insurance Full Time employees are employed in the US?
No. Of Employees
FULL TIME PART TIME
US:1,740 170
South East Asia:670 64
UK:300 30
Europe:250 24
China:380 32
Middle East:135 12
Total Cost (IN $ MILLIONS)
Full Time PART TIME
47.0 2.5
sin2x=(\sqrt(3))/(2)
Help!!! Question is attached. It is on Solving Equations.
1. Which is a minor arc in L? (1 point)
a. AB
b. DB
c. ABD
d. CBD
Arc DB measure less than 180 degrees, is called a minor arc.
Option (b) is correct
Major and minor arc:A minor arc is an arc whose angle is less than 180 degrees.
A major arc is an arc whose angle is greater than 180 degrees .A semicircle, is an arc whose angle is equals to 180 degrees . it divides the circle in two.From given figure, It is observed that, arc DB measure less than 180 degrees is called a minor arc.
Hence, option (b) is correct.
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what is 2.999 rounded to the nearest hundreth?!!