Answer:
Distributive property.
Step-by-step explanation:
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.
I = 600(7)(2)
What error did Juanita make and how will her error affect the interest she calculates? Explain.
please help
Answer:
The error she made was multiplyng by 7. This would affect her calculations as 7 in percentage form is represented as 700%. The 700% interest would basically mean she owes 7 times the amount she borrowed. The correct number would be 0.07 because 0.07 represents 7% which is the interest. Another error that was made was multiplying 2 to the entire equation. The only thing that needs to be doubled is the interest as every year the interest takes 7%. The correct way would be to put 0.07*2 in paranthesis. The correct equation is
I = 600(0.07*2)
An urn contains p black balls, q white balls, and r red balls; and n balls are chosen without replacement. a. Find the joint distribution of the numbers of black, white, and red balls in the sample. b. Find the joint distribution
The joint distribution of the numbers of the three colours in the sample without replacement is:
[tex]\mathbf{P(A=a,B=b,C=c) = \dfrac{\Big( ^{p}_{ A} \Big) \Big( ^{q}_{ B} \Big) \Big( ^{r}_{ C} \Big) }{ \mathbf{\Big( ^{p+q+r}_{ \ \ \ n} \Big) } }\ \ \ \ where; n = A+B+C}[/tex]
Let consider A, B, and C to denote the three variables that are black, white, and red balls in the sample.
i.e.
n = A + B + C
Now, the numbers of ways 'n' balls are chosen without replacement in an urn that comprises of p black balls, q white balls, and r red balls can be computed as follows:
[tex]\mathbf{\implies \Big( ^{p+q+r}_{ \ \ \ n} \Big) }[/tex]
Now, the number of ways whereby A black balls can be chosen from p black balls is expressed as:
[tex]\mathbf{\implies \Big( ^{p}_{ A} \Big) }[/tex]
The number of ways whereby B white balls can be chosen from q white balls is expressed as:
[tex]\mathbf{\implies \Big( ^{q}_{ B} \Big) }[/tex]
The number of ways whereby C red balls can be chosen from r red balls is expressed as:
[tex]\mathbf{\implies \Big( ^{r}_{ C} \Big) }[/tex]
Therefore, we can conclude that the joint distribution of the numbers of the three colours in the sample without replacement is:
[tex]\mathbf{P(A=a,B=b,C=c) = \dfrac{\Big( ^{p}_{ A} \Big) \Big( ^{q}_{ B} \Big) \Big( ^{r}_{ C} \Big) }{ \mathbf{\Big( ^{p+q+r}_{ \ \ \ n} \Big) } }\ \ \ \ where; n = A+B+C}[/tex]
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Matt bought a 12-pack of water for $10.32. What was the unit rate?
We want to find the unit rate of the bottles of water given that we know that the cost of 12 bottles is $10.32, we will find that the unit rate is:
r = 1.16 (bottles/$)
The unit rate is defined as the rate of change per unit, in this particular case, the unit rate would be the cost of every single bottle of water.
Here, we do know that for $10.32, you get 12 bottles.
The unit rate is just given by the quotient between these two values:
(12 bottles)/($10.32) = 1.16 (bottles/$)
Meaning that the cost of every single bottle is $1.16
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x divide 5 =20 solve equation for x
Answer:
x = 100
Step-by-step explanation:
[tex]\frac{x}{5}=20[/tex]
[tex]5*\frac{x}{5} =20*5[/tex]
x = 20 * 5
x = 100
Hope This Helps
WILL MARK BRAINLIEST!!
Answer:
C = (A*P - 8.4Y -330T + 200I) / 100
Step-by-step explanation:
P = (8.4Y + 330T + 100C -200I ) / A
now we have to calculate completed passes C for given P, Y, T, I, A
A*P = 8.4Y + 330T -200I +100C
100C = A*P - 8.4Y - 330T + 200I
C = (A*P - 8.4Y -330T + 200I) / 100
I just solved the equation for C
Rita spent a total of $60 at the grocery store.Of this amount,she spent $21 on fruit.What % of the total did she sepend on fruit.
Answer:
35%
Step-by-step explanation:
21/60*100 =2100/60 it is equal to 35%
to calculate percent it is number over total answer multiplied by hundred
brainiest, please
Irene is N years old. If Tom is twice as old, which of the following algebraic statements shows his age now?
A. 2n
B. 2n + x
C. 2 - n
D. n - 2
Explanation:
The n is a placeholder for a number. Writing 2n means we multiply by 2.
For example, if Irene is n = 20 years old, then Tom is 2n = 2*20 = 40 years old.
An investigator predicts that dog owners in the city spend more time walking their dogs than do dog owners in the country. The investigator gets a sample of 23 city owners and 21 country owners. Do dog owners in the city spend more time walking their dogs than do dog owners in the country?
Answer:
less time
Step-by-step explanation:
because there is more space for them to move around
Please help i need to do this and study a different class later
Answer:
im not sure sorry
Step-by-step explanation:
Please help!!! Due today!! Will mark brainliest!!!!
Answer:
$231Step-by-step explanation:
Given:
A = 44000i = 0.375% or 0.00375n = 12*12 = 144 (12 years and 12 periods per year)d = ?Use the given formula and find d:
[tex]44000 = d(\frac{(1+0.00375)^{144}-1}{0.00375})[/tex][tex]44000 = d*190.47[/tex][tex]d = 44000/190.47[/tex][tex]d = 231[/tex]Will give brainlest pls help
Answer:
i believe it is (c)
Step-by-step explanation:
Answer:
C) 3
Step-by-step explanation:
See the image
A car renting agency charges a fixed rate of $8 per day plus 8 cents per mile. If a family paid the agency $260 for the use of a car on a 2,450 mile trip, how many days was the car use
Answer: 8 days your welcome (:
Answer:
8 days
1day = $8.08
$8.08 * 8 = $64.64 so this is wrong.
$260/$8.08= about 31 days.
A sum of 2 integers is 41 and their difference is 5. Find the integers.
Answer:
A = 22
B = 19
Explanation:
Numbers one and two will be a variable A and B respectively.
A + B = 41 Equation one
A + B = 5 Equation two
Isolate one of the variables. Let's use A
A + B = 41 = A = 41 - B
Now replace the A in Equation two.
(41 - B) - B = 5
Simplify: 41 - 2B = 5
Isolate variable: 38 = 2B --> B = 19
Use the value of B to find A
A = 41 - B = 41 - 19 = 22
So the answer is A = 22 and B =19
The total number of public electric charging units available for hybrid vehicles has increased exponentially since 2005. The number of outlets A(t) at these alternative fueling stations t years after 2005 can be approximated by A(t)=233(2.08)t, where t=0 corresponds to 2005. How many outlets were available in 2007, in 2009, in 2010?
a.
The number of outlets in 2007 are 1008 outlets
Since the number of outlets A(t) at these alternative fueling stations t years after 2005 is [tex]A(t) = 233(2.08)^{t}[/tex] with t = 0 corresponding to 2005.
To find the number of outlets in 2007, we substitute t = 2 into the equation.
So,
[tex]A(t) = 233(2.08)^{t}\\A(2) = 233(2.08)^{2}\\A(2) = 233(4.3264)\\A(2) =1008.0512[/tex]
A(2) ≅ 1008 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).
So, the number of outlets in 2007 are 1008 outlets
b.
The number of outlets in 2009 are 4361 outlets
To find the number of outlets in 2009, we substitute t = 4 into the equation.
So,
[tex]A(t) = 233(2.08)^{t}\\A(4) = 233(2.08)^{4}\\A(4) = 233(18.72)\\A(4) =4361.23[/tex]
A(4) ≅ 4361 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).
So, the number of outlets in 2009 are 4361 outlets
c.
The number of outlets in 2010 are 9071 outlets
To find the number of outlets in 2010, we substitute t = 5 into the equation.
So,
[tex]A(t) = 233(2.08)^{t}\\A(5) = 233(2.08)^{5}\\A(5) = 233(38.93)\\A(5) = 9071.36[/tex]
A(5) ≅ 9071 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).
So, the number of outlets in 2010 are 9071 outlets
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Find the volume of the sphere.
6
Answer 35
6. (a) Find a recurrence relation for the number of n-digit binary sequences with no pair of consecutive 1s. (b) Repeat for n-digit ternary sequences
(a) There are 2 sequences of length 1 that fit the bill: 0 and 1. So if [tex]b_n[/tex] is the number of permissible sequences, then [tex]b_1=2[/tex].
To the sequence 0, we can attach either 0 or 1 at the end, while the sequence 1 must be followed by 0. Then the permissible sequences of length 2 are 00, 01, and 10, so [tex]b_2=3[/tex].
Now consider a sequence of length n + 1, of which there are [tex]b_{n+1}[/tex].
• If the last digit is 0, then we got this sequence by simply joining 0 to one of [tex]b_n[/tex] sequences. In other words, there are [tex]b_n[/tex] permissible sequences of length n + 1 that end in 0.
• If the last digit is 1, then the previous digit must have been 0. Put another way, we join 01 to a permissible sequence of length n - 1 (there are [tex]b_{n-1}[/tex] of them). So there are [tex]b_{n-1}[/tex] permissible sequences of length n + 1 that end in 1.
These cases are mutually exclusive, so the number of (n + 1)-length permissible sequences is given by
[tex]\begin{cases}b_1 = 2 \\ b_2 = 3 \\ b_{n+1} = b_n + b_{n-2} & \text{for }n\ge2\end{cases}[/tex]
(b) The reasoning for a permissible ternary sequence is similar. Let [tex]t_n[/tex] be the number of sequences of length n not containing 11.
We first note that [tex]t_1 = 3[/tex], since we can have 0, 1, or 2; and [tex]t_2 = 8[/tex], since we can have 00, 01, 02, 10, 12, 20, 21, or 22.
Consider a sequence of length n + 1 ([tex]t_{n+1}[/tex] of these).
• If the last digit is 0, then we joined 0 to a permissible sequence of length n. So there are [tex]t_n[/tex] permissible sequences of length n + 1 ending in 0.
• If the last digit is 1, then the last two digits must be either 01 or 21. Since there are 2 choices for the n-th digit, there are [tex]2t_{n-1}[/tex] permissible sequences of length n + 1 ending in 1.
• If the last digit is 2, then we essentially have the same situation as if the sequence ended in 0, so there are [tex]t_n[/tex] sequences of length n + 1 ending in 2.
Then the recurrence for ternary permissible sequences is
[tex]\begin{cases}t_1 = 3 \\ t_2 = 8 \\ t_{n+1} = 2t_n + 2t_{n-1} & \text{for }n\ge2\end{cases}[/tex]
If using the method of completing the square to solve the quadratic equation
x^2+2x – 31 = 0, which number would have to be added to "complete the
square"?
==
Answer:
See belowStep-by-step explanation:
Given equation:
x² + 2x - 31 = 0Complete square as follows:
x² + 2x + 1 - 31 = 1(x + 1)² = 32x + 1 = ± √32x = - 1 ± 4√2Step-by-step explanation:
We need to solve the equation using completing the square method .
=> x² - 2x - 31 = 0
=> x² -2*1*x + 1² - 1² - 31 = 0
=> ( x -1)² - 32 = 0
=> (x+1)² = 32
=> x +1 = ±√32
=> x = ±4√2 - 1
There are 24 red cars to every 96 blue cars. How many blue cars are there if there are 96 red cars?
Dividing the ratio of red and blue cars:
96 /24 = 4
There are 4 times as many blue cars as red cars.
Multiply the number of red cars by the scale factor:
96 red x 4 = 384 blue cars
Answer:
384 blue cars
Step-by-step explanation:
Here's how I do all of this in my head:
Divide 96 by 24:
96 ÷ 24 = 4
Now that we know that the number we need is 4, all we have to do is multiply both factors by 4.
96 × 4 = 384
24 × 4 = 96 (which is the number we're looking for)
So now that we have 96 red cars, we can see that there's 384 blue cars, which will be your answer.
I hope I helped, and a Branliest is always appreciated! ☺
Lines A and B are parallel
Answer:
dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
Answer:
....................
Stephanie can run 5 miles in 45 minutes. How long will it take her to run 10 miles?
Answer:
89
Step-by-step explanation:
so u have 5 miles in 45 mins so u do 45 x 2 then u get 89 minutes
Answer:
Stephanie can run 5 miles in
= 45 minutes
She can run 1 mile in
= 45/5
= 9 minutes
So, she can run 10 miles in
= 10×9
= 90 minutes or 1 hr 30 minutes
The phone costs $600. The sales tax is 6% of the price of the phone. Which statements are true? Select each correct statement. A.The sales tax on a $600 phone is $36. B The total price of the phone with sales tax is $636. C. The sales tax on a $600 phone is $3.60. D The total price of the phone with sales tax is $603.60
Answer:
A. 6 percent of 600 is 360.
Step-by-step explanation:
Multilply 6 x 600 =36
Answer:
A.The sales tax on a $600 phone is $36.
Step-by-step explanation:
$600 * 0.06= 636
Let y be a function of x such that 2x - 3y = 6. What is the rate of change of y with respect to x?
Given the equation 2x -3y= 6
since we are to find the rate of change of y with respect to x we make y subject of formula
2x -3y= 6
3y = 2x - 6
divide through by 3
y= 2x/3 - 6/3
y=2x/3 - 2
dy/dx = 2/3
1) A survey asked the question, “Do you think a vaccination should be mandatory to enter
shopping areas?!” to a random sample of 1068 Jordanians. The results showed that 71.2%
responded that vaccination should mandatory. Determine which of the following is an
observation, a variable, a sample statistic (value calculated based on the observed sample), or a
population parameter.
(a) A Jordanian that was asked the question.
(b) The response of the Jordanian (Yes: vaccination should be mandatory. No: vaccination
should not be mandatory).
(c) 71.2%.
(d) The percentage of all Jordanians who agreed with the statement that vaccination should
be mandatory to enter shopping areas.
Given that a survey asked the question, "Do you think a vaccination should be mandatory to enter shopping areas?" to a random sample of 1068 Jordanians, and the results showed that 71.2% responded that vaccination should mandatory, to determine which of the following is an observation, a variable, a sample statistic (value calculated based on the observed sample), or a population parameter, the following statistical reasoning must be performed:
(a) A Jordanian that was asked the question.
-An observation, as the person questioned is part of the study and therefore, it is an individual observation that makes up the trend.
(b) The response of the Jordanian.
-A variable, since it is one of the two possible answers that the survey has.
(c) 71.2%.
-A population parameter, because it represents a specific percentage with respect to the total population.
(d) The percentage of all Jordanians who agreed with the statement that vaccination should be mandatory to enter shopping areas.
-A sample statistic, since it is a statistical element that arises from the survey.
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what is 32,020.20 rounded to the nearest tenths
Answer:
32,020
Explanatiojn:
Given the two equations below, determine which statement best describes the graph of the equations.
y=x + 6
y = x+ 17
A.
The two lines given by the above equations intersect (but are not perpendicular).
B.
The two lines given by the above equations coincide.
C.
The two lines given by the above equations are perpendicular.
D.
The two lines given by the above equations are parallel.
Answer:
Graph.
y=x+6y=x+17
Step-by-step explanation:
Which one is this. I don't really understand
Answer:
i need points and this is a long question from before
thanks for the points
Step-by-step explanation:
The number of students in a chess club decreased from 26 to 15. What is the percent decrease? Round your answer to the nearest percent.
Answer:
42%
Step-by-step explanation:
26 - 15 = 11
Take your decrease and divide it by the original price:
11/26 = 0.4230
Multiply 0.4230 by 100 to find the percent:
42.3
Round your answer and you would get -
42%
Answer:
42%
Step-by-step explanation:
You divide 15 by 26 and get 0.5769 and it continues with other numbers. to the nearest percent is 58. Then you subtract it from 100 and get 42%.
Can you please help me
Answer:
63
Step-by-step explanation:
27/6=4.5
14*4.5=63
6/23 divided by 1/5 plz help
Answer:
30 / 23
Step-by-step explanation:
to divide two fractions, multiply by the reciprocal.
The reciprocal of 1/5 is 5/1. We will rewrite the equation as:
[tex]\frac{6}{23}[/tex] times [tex]\frac{5}{1}[/tex]
6 x 5 = 30
23 x 1 = 23
the answer is 30 / 23
The Quotient is 30/23.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
6/23 divided by 1/5
As, division is not possible in fraction so we will perform the multiplication
= 6/23 ÷ 1/5
= 6/23 x 5
= 30/ 23
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Which is the quotient for
2
.
21
÷
0
.
34
?
A.
0.65
B.
6.05
C.
6.5
D.
65
Answer:
The answer is 6.5
Step-by-step explanation:
