Answer:
There are more permutations when repetitions are allowed.
Explanation:
There are more permutations if repetition is allowed because in this case, we can include numbers like 1122, 4444, and 1321, which won't be included when repetitions are not allowed.
Lease TermsCost What is the total costMonthly fee $550of a 36-month leaseDeposit $2,500Registration $300 with the termsand TitleDisposition fee $350 described in the table?Acquisition fee $600A. $21,050B. $19,800C. $23,550D. $24,750
The different costs given in the table are all one-time payments except the Monthly fee.
The total cost is calculated by getting the sum total of all the different terms involved in the lease terms. Therefore, we have to calculate the cost of the monthly fee over 36 months.
Monthly fee:
[tex]\Rightarrow550\times36=19800[/tex]Total Cost:
The total cost is calculated by adding all the different costs. Therefore, we have:
[tex]\begin{gathered} TC=19800+2500+300+350+600 \\ TC=23550 \end{gathered}[/tex]The correct option is OPTION C
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Find the slope of the line that passes through (5, 4) and (10, 10).
Cimplify your answer and write it as a proper fraction, improper fraction,
The slope is the "rise over run" or "change in y-values over the change in x-values."
The change in the y-values is the difference between them:
10 - 4 = 6
Change in y = 6
The change in the x-values is the difference between them:
10 - 5 = 5
Change in x = 5
So, the slope is 6/5 or 1 and 1/5.
You have the following question on a survey. "What clubs are you involved in". Youselect every 25th student in all the classes to fill out the survey. Classify this survey Is this a random or non random
Answer: Random
To answer this question, let us first define what Random Sampling is.
Random Sampling describes when every elemnt in a population has an equal chance of being chosen for the sample.
There are 4 types of Random Sampling, but we are going to focus on one type which is the Systematic Random Sampling.
Systematic Random Sampling is a common technique where sample every kth element. For example, surveying every 100th person that walks in a mall.
Now based on the question, it is stated that "You select every 25th student in all the classes". This is an example of Systematic Random Sampling.
Therefore this survey is classified as Random.
how many possible outcomes for rolling two dice for a sum.nkt more than 11
the odds must be for outcomes less than or equal to 11
the possible combinations of rolling two dice are 36
the chances of getting more than 11 are only two 6 with one die 6 with another and vice versa
then we only have to remove two possibilities
[tex]36-2=34[/tex]there are 34 chances of getting no more than 11
and the probability is
[tex]\begin{gathered} \frac{34}{36} \\ =0.94 \end{gathered}[/tex]and the percentage is
[tex]0.94\times100=94[/tex]Find sec A and sin B to four decimal places
Answer:
The correct option is the first one:
sec A = 1.3055, s
An employee at a cellphone store makes $15 per hour plus a commission of 2.5%of her sales. This week she sold 40 phones averaging $450 each what is her commission this week
Total sales = $450*40= $18000
Commision = 18000*0.025 = $450
--------------------------------------------------------------------------------------
Total earnings = 30000 + commision
comission = 4*175000*0.13 = 91000
Total earnings = 30000+91000 = $121000
Oscar opens a savings account which gives compound interest of
3.5% per year. He puts £2000 into it.
a) How much money will Oscar have in the account after 9 years
?
b) How much interest will Oscar have earned from this account
after 9 years?
Give
your answers in pounds (£) to the nearest 1p.
a. Oscar will have $2630 money in the account after 9 yrs.
b. Oscar has earned interest from this account after 9 years is 22.5%.
What is compound interest?Compound interest is when interest on a loan, investment, or savings account grows exponentially over time rather than linearly.
To calculate simple interest
I = Prt
Where, I = Simple interest
t = time
r = earned interest
P = Compound interest
Here, we have
P = $2000 , r = 3.5%, t = 9 years
By applying the compound interest formula, we get;
I = 2000 ×0.035×9
= 18,000 ×0.035
I = 630
The total amount after 9 years is 2000 + 630 = 2630
Hence, a. Oscar will have $2630 money in the account after 9 yrs.
b. Oscar has earned interest from this account after 9 years is 22.5%.
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Which of the following represents the factorization of the trinomial below?x²+13x-30A. (x-3)(x+10)B. (x-3)(x-10)C. (x-2)(x-15)D. (x-2)(x+15)
Answer:
D. (x-2) (x+15)
Explanation:
We were given the trinomial:
[tex]x²+13x-30[/tex]We will proceed to factorise as shown below, we have:
[tex]\begin{gathered} x²+13x-30 \\ x²+15x-2x-30 \\ \text{Factoring, we have:} \\ x(x+15)-2(x+15) \\ (x-2)\left(x+15\right) \end{gathered}[/tex]Therefore, the answer is D
Using a graph below , state the variables and whether each is categorical or quantitative.
Solution
Quantitative variables are any variables where the data represent amounts (e.g. height, weight, or age).
Categorical variables are any variables where the data represent groups.
Thus,
Variable 1 : Number of cases (Quantitative)
Variable 2: Date of symptom Onset (Categorical)
If A={s, t, a, r} and B={m, a, t, h}, find A ∩ B.
The given sets are
[tex]\begin{gathered} A=\mleft\lbrace s,t,a,r\mright\rbrace \\ B=\mleft\lbrace m,a,t,h\mright\rbrace \end{gathered}[/tex]The given question is
[tex]A\cap B[/tex]This means we need to list the comment elements in both sets
Since the common letters are t and a, then
[tex]A\cap B=\mleft\lbrace a,t\mright\rbrace[/tex]If the rate of inflation is 2.8% per year, the future price p(t) ( in dollars ) of a certain item can be modeled by the following exponential function, where t is the number of years from today p(t) = 1200(1.028)tfind the current price of the item and the price 9 years from today. Round your answers to the nearest dollar as necessary. Current price: _$ Price 9 years from today: _$
If it's 9 years, then you have to replace t = 9 in the expression that models the price. With that we have the price 9 years from today:
[tex]p(t)=1200\cdot1.028^9=1200\cdot1.282=1538.577[/tex]Rounded to the nearest dollar, the price 9 years from today is $1539
And the current price is the first number of the expression: $1200
mitchell drives a taxi cab in new york. he charges people .75 for every mile and $3 upon entering the taxi. which equation best represents this situation?
The initial condition is $3.
The constant rate of change is 0.75 for every mile.
Based on the given information, we can express the following
[tex]y=0.75x+3[/tex]Where x is miles, and y is the cost.
Hello may i please recieve some assistance on this question? It will be greatly appreciated.
Answer:
[tex]k\text{ = 10}[/tex]Explanation:
For (x+2) to be a factor of the polynomial, if we set x+2 to 0, then substitute the value for x, we would get 0
Mathematically, we have it that:
[tex]\begin{gathered} x+2\text{ = 0} \\ x\text{ = -2} \end{gathered}[/tex]We can now proceed to substitute -2 into the polynomial as follows:
[tex]\begin{gathered} (-2)^3-6(-2_{})^2-11(-2)+k\text{ = 0} \\ -8-24+22+k\text{ = 0} \\ -32+22+k\text{ = 0} \\ k\text{ = 32-22} \\ k\text{ = 10} \end{gathered}[/tex]A rectangle has a length represented by: 3(2m - 5) and a width of 4(3m + 1). Write a simplified expression of the perimeter:
The simplified expression for the perimeter of the rectangle is 36m - 22.
Given,
The length of the rectangle = 3[2m - 5]
The width of the rectangle = 4[3m + 1]
We have to find the simplified form for the perimeter of the rectangle;
Perimeter of rectangle = 2[length + width]
= 2[ 3[2m - 5] + 4[3m + 1] ]
= 2[6m - 15 + 12m + 4]
= 2[18m - 11]
Perimeter of rectangle = 36m - 22
That is,
The simplified expression for the perimeter of the rectangle is 36m - 22.
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Find the value of this expression if x=-1 and y=9X^2y/-7
ANSWER
-9/7
EXPLANATION
To find the value of the expression we have to replace x with -1 and y with 9 and solve,
[tex]\frac{(-1)^2\cdot9}{-7}=\frac{1\cdot9}{-7}=-\frac{9}{7}[/tex]Hence, the value of the expression when x = -1 and y = 9 is -9/7.
Graph the function Plot any five points on the graph.
Given the equation,
[tex]y=-\frac{11}{8}x^3[/tex]Let us pick 5 points starting from x = 0 to x = 4
Having picked from point x = 0, let us solve for the corresponding y-values.
When x = 0,
[tex]\begin{gathered} y=-\frac{11}{8}\times0^3=-\frac{11}{8}\times0=0 \\ \therefore y=0 \end{gathered}[/tex]So when x = 0, y = 0
When x = 1
[tex]\begin{gathered} y=-\frac{11}{8}\times1^3=-\frac{11}{8}\times1=-\frac{11}{8}=-1.375 \\ \therefore y=-1.375 \end{gathered}[/tex]So when x = 1, y = -1.375
When x = 2,
[tex]\begin{gathered} y=-\frac{11}{8}\times2^3=-\frac{11}{8}\times8=-11 \\ \therefore y=-11 \end{gathered}[/tex]So when x = 2, y = -11
When x = 3
[tex]\begin{gathered} y=-\frac{11}{8}\times3^3=-\frac{11}{8}\times27=-37.125 \\ \therefore y=-37.125 \end{gathered}[/tex]So when x = 3, y = -37.125
When x = 4
[tex]\begin{gathered} y=-\frac{11}{8}\times4^3=-\frac{11}{8}\times64=-11\times8=-88 \\ \therefore y=-88 \end{gathered}[/tex]So when x = 4, y = -88.
Let us now plot the graph
Charlotte ran 1.25 miles yesterday. How could we write this distance as a fraction?
Given that Charlotte ran 1.25 miles, let's represent this distance as a fraction.
To write this as a fraction, we have:
First step:
Divide the decimal by 1
[tex]\frac{1.25}{1}[/tex]Second step:
Multiply the numerator and denominator by 100, because it has 2 decimal places (hundreth)
[tex]\frac{1.25\ast100}{1\ast100}=\frac{125}{100}[/tex]To simplify this, we have:
[tex]\frac{125}{100}=\frac{5}{4}[/tex]ANSWER:
[tex]\frac{125}{100}[/tex]Evaluate the function.
F(x) = -x^2+9x-17
Find F (-5)
⇒F(-5) just simply means that in the function F in the place of x you have to plug in -5 and simplify if possible.
[tex]f(-5)= -(-5)^{2} +9(-5)-17\\f(-5)=-(25)-45-17\\f(-5)=-25-45-17\\f(-5)=-70-17\\f(-5)=-87[/tex]
the answer to f(-5) is -87
GOODLUCK!!
Part A Shaunice, Joshua and Juan ran several laps around the track They recorded some data based on 6 of the laps that they ran The table shows the amount of time that it took Shaunice to complete 6 of the laps that she ran What was the difference between the average pace per la for Shaunice and the average pace per lap for Joshua? Enter your answer in the box Shaunice Time Lap (seconds) 1 68 2 65 seconds per lap 3 65 4 5 6 67 70 Joshua determined his average pace to be 53 seconds per tap.
The average pace is computed as follows:
[tex]\frac{total\text{ sum of }times}{\text{ number of laps}}[/tex]Replacing with data:
[tex]Shaunice^{\prime}s\text{ average pace per lap=}\frac{68+65+65+64+67+70}{6}=\frac{399}{6}=66.5\text{ seconds}[/tex]The difference between Shaunice's average pace per lap and Joshua's average pace per lap is 66.5 - 63 = 3.5 seconds
The function p is defined as p(x) = x2 – 3x. If thefunction q is defined as q(x) = p(x) – 4, what is thevalue of q(10) ?A) -30B) 6C)66D) 70
Firstly, we need to get the expression of the function q(x) from p(x)
How can you tell the degrees of an angle inside a triangle?
we have that
The sum of the interior angles in any triangle must be equal to 180 degrees
Let
A, B and C the angles in a triangle
If you have
A=30 degrees
B=60 degrees
the angle C is equal to
A+B+C=180
C=180-(A+B)
C=180-(30+60)
C=90 degrees
Jackson is trying to find the density, in g/cm³, of a block of wood. The block of wood is in the shape of a cuboid. He measures the length as 13.2 cm, correct to the nearest mm the width as 16.0 cm, correct to the nearest mm the height as 21.7 cm, correct to the nearest mm He measures the mass as 1970 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy.
Answer:is tht suga
Step-by-step explanation:
Use the chart and the dot plot to estimate the mean or average
The diagram shows a dot plot with a given data set
To estimate the mean, you add up the total score and dividde by the number of scores
What is the slope of the line that passes through the points (1, -9) and (4, -7)?
Write your answer in simplest form.
Answer:
The slope is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The slope formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
The two coordinates given: (1, -9) and (4, -7)
-
Let's substitute and solve:
[tex]m = \frac{-7-(-9)}{4-1} \\m = \frac{2}{3}[/tex]
determine all intervals on which grapph of f is decreasing
A function decreases on an interval if the function values (y-values) decrease as the input values (x-value) increase over that interval.
For the given function: The next is the interval on which the graph of f is decreasing:
Interval:
[tex]\lbrack0,3\rbrack[/tex]Write an Equation and solve.10. If tickets to a concert cost $18. How many tickets can you buy with $150?Let x =EquationX=
Let x = Number of tickets
So, the equation is
[tex]18x=150[/tex]Solve for x:
[tex]\begin{gathered} \frac{18x}{18}=\frac{150}{18} \\ x=8.33 \end{gathered}[/tex]Answer: x = 8.33
If you solve an equation and you end up with 4=4 that means that there are infinite solutions
If you solve an equaton and you get with 4=4 that actually means there are infinite solutions, beacuse the result you got is absolutely true.
However, if you get 4=1 or 5=3, that means the equation has no solutions beacuse you got a false resulte.
Therefore, the given statement is true.Given a standard deck of cards (52 cards), what is the probability of drawing the Ace of spades?(Give your answer as a percent, don't forget the %. Round to the nearest whole number if necessary.)
Given:
A deck of 52 cards is given.
To find- the probability of drawing the Ace of spades.
Explanation-
We know that there are only four aces in a deck.
Every suit has its own ace. Thus, we have one ace of spades.
The probability is given by th ratio of the total number of favorable outcomes to the total possible outcomes.
Mathematically, we get
[tex]\begin{gathered} =\frac{\text{ number of ace of spades}}{total\text{ cards in a deck}} \\ =\frac{1}{52} \\ =0.0192 \end{gathered}[/tex]The probability as a percent will be-
[tex]\begin{gathered} =0.0192\times100 \\ =1.92\text{ \%} \end{gathered}[/tex]Thus, the probability of drawing the Ace of spades is 1.92%.
The answer is 1.92%.
You have two number cubes. One number cube has faces (1,2,2,3,3,4) and the other has faces (1,3,4,5,6,8). You areconsidering a game in which you win 100 tokens If the sum is greater than or equal to 8 but lose 80 tokens If the sum isless than 8. Should you play this game?
To determine whether or not to play this game, the following steps are necessary:
Step 1: Draw up a table that shows the sum of the outcomes when the two cubes are tossed together, as follows:
The table above shows that there are a total of 36 outcomes when the two cubes are tossed together, and shows the sum of the values on the faces of the cubes for each outcome.
Step 2: Use the values in the table to find the probabiity of obtaining a sum greater than or equal to 8, and the probability of obtaining a sum less than 8, as below:
[tex]\begin{gathered} P(sum\text{ is }\ge8)=\frac{\text{total number of sum values greater than or equal to 8}}{\text{total number of outcomes}} \\ \text{From the table:} \\ \text{total number of sum values greater than or equal to 8 = 15} \\ \text{total number of outcomes = 36} \\ \text{Thus:} \\ P(sum\text{ is }\ge8)=\frac{15}{36} \end{gathered}[/tex]Also:
[tex]\begin{gathered} P(sum\text{ is <}8)=\frac{\text{total number of sum values less than 8}}{\text{total number of outcomes}} \\ \text{From the table:} \\ \text{total number of sum values less than 8 = 21} \\ \text{total number of outcomes = 36} \\ \text{Thus:} \\ P(sum\text{ is <}8)=\frac{\text{2}1}{\text{3}6} \end{gathered}[/tex]Step 3: Compute the expectation, using the probabilities and the tokens to be won or lost, as follows:
[tex]\begin{gathered} \text{Total expectation = (+100 tokens)}\times P(sum\text{ is }\ge8)\text{ + (-80 tokens)}\times P(sum\text{ is <}8) \\ \text{Thus:} \\ \text{Total expectation = (+100 tokens)}\times\frac{15}{38}\text{ + (-80 tokens)}\times\frac{21}{36} \\ \text{Total expectation =}\frac{1500}{38}\text{ + }(\frac{-1680}{36}) \\ \text{Total expectation =}\frac{1500+(-1680)}{38}=\frac{1500-1680}{36}=-\frac{180}{36}=-5 \\ \Rightarrow\text{Total expectation =}-5\text{ tokens} \end{gathered}[/tex]Now, since the total expectation is -5 tokens, it means that 5 tokens will be lost at the end of this game. Now, would you play a game where you get to lose? Certainly not.
The answer is that you should not play this game
Simplify. Assume that x and y are positive numbers.
√x^3y^3
A. xy√xy
B. x²y²√xy
C. xy√x²y²
D. xy
Answer: i think it is either A B C or D
Step-by-step explanation: So i know that there are 4 answers so that means one of the four answers are correct........ well i hope that one is correct