Answer:
$6
Step-by-step explanation:
A colony of bees doubles in size every month. If there are initially 5000 bee, create a model for the bee population
we know that the colony is doubling, namely the rate of growth is 100% of whatever is existent, thus
[tex]\textit{Amount of Population Growth} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ A = 5000e^{1\cdot t}\implies \boxed{A = 5000e^t}[/tex]
A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below.
Completed Homework Did not Complete Homework Total
Passed the Course 25 7 32
Did not Pass the Course 5 18 23
Total 30 25 55
A student from the class is randomly selected. Determine the following probabilites. Enter your results as percents rounded to two decimal places.
What is the probability a student passed the course given that they completed their homework?
%
What is the probability a student passed the course given that they didn't complete their homework?
28
Correct%
What is the probability a student completed their homework given that they passed the course?
%
What is the probability a student didn't complete their homework given that they didn't pass the course?
%
Probabilities are used to determine the chances of an event.
Let P represents the event that a student passes the course, and C represents the event that a student completes the assignment
(a) The probability a student passed the course given that they completed their homework?
From the table, we have:
[tex]\mathbf{n(P\ n\ C) = 25}[/tex]
[tex]\mathbf{n(C) = 30}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(C)}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{25}{30}}[/tex]
[tex]\mathbf{Pr = 0.8333}[/tex]
Express as percentage
[tex]\mathbf{Pr = 83.33\%}[/tex]
Hence, the probability a student passed the course given that they completed their homework is 83.33%
(b) The probability a student passed the course given that they didn't complete their homework
From the table, we have:
[tex]\mathbf{n(P\ n\ C'= 7}[/tex]
[tex]\mathbf{n(C') = 25}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7}{25}}[/tex]
[tex]\mathbf{Pr = 0.28}[/tex]
Express as percentage
[tex]\mathbf{Pr = 28\%}[/tex]
Hence, the probability a student passed the course given that they didn't complete their homework is 28%
(c) The probability a student completed their homework given that passed the course?
From the table, we have:
[tex]\mathbf{n(P\ n\ C) = 25}[/tex]
[tex]\mathbf{n(P) = 32}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{25}{32}}[/tex]
[tex]\mathbf{Pr = 0.78125}[/tex]
Express as percentage
[tex]\mathbf{Pr = 78.125\%}[/tex]
Approximate
[tex]\mathbf{Pr = 78.13\%}[/tex]
Hence, the probability a student completed their homework given that they passed the course is 78.13%
(d) The probability a student didn't complete their homework given that they didn't pass the course
From the table, we have:
[tex]\mathbf{n(P'\ n\ C'= 18}[/tex]
[tex]\mathbf{n(P) = 23}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{18}{23}}[/tex]
[tex]\mathbf{Pr = 0.7826}[/tex]
Express as percentage
[tex]\mathbf{Pr = 78.26\%}[/tex]
Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%
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what 5 + 5- just asnwer pls
Answer:
5+5=10
but if you mean
5+-5 then that = 0
Step-by-step explanation:
A class of 22 students has taken an exam, and the mean of their scores is 76.5. One student takes the
exam late, and scores 92. After including the new score, what is the mean score for all 23 exams? Round
to the nearest hundredth.
The mean score for all 23 students is 77.17.
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.
The first step is to determine the total scores of the 22 students.
Total scores = mean score x number of students
22 x 76.5 = 1683
The second step is to add the score of the student that took the exam late tot he total scores.
New total score = 1683 + 92 = 1775
The third step is to determine the new mean score.
new mean score = new total score / total number of students
1775 / 23 = 77.17
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what is the first three elements of an arithmetic sequence are -13 , -8 and -3, which elements is 182?
What’s the slope of 10,6 and 4, 1.2
let's firstly change the 1.2 to a fraction
[tex]1.\underline{2}\implies \cfrac{12}{1\underline{0}}\implies \cfrac{6}{5} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{\frac{6}{5}}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{6}{5}}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{10}}}\implies \cfrac{~~ \frac{6-30}{5}~~}{-6}\implies \cfrac{~~ \frac{-24}{5}~~}{-6}\implies \cfrac{~~ -\frac{24}{5}~~}{-\frac{6}{1}}[/tex]
[tex]-\cfrac{\stackrel{4}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{5}\cdot -\cfrac{1}{\underset{1}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{4}{5}}[/tex]
Veronica has two offers for a $65,000 student loan. The first loan has a 6.3% interest rate for 15 years, and the second loan has a 4.8% interest rate for 20 years. Both loans have interest compounded every month. Veronica is interested in finding the loan that minimizes the amount of interest that she will pay over the life of the loan. Which loan has a lower amount of interest paid?
The second option has a lower amount of interest paid.
In order to determine the loan option that minimizes loan payment, the future value of both loan options has to be determined.
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
First loan option
65000( 1 + 0.063/12)^300 = 312,707.21
Second loan option
65000( 1 + 0.048/12)^240 = 169,435.51
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if 5c-2=3c, then 24c=
Answer:
24
Step-by-step explanation:
Step-by-step explanation:
24 is 3×8
so, when
3c = 5c-2
then
8×3c = 24c = 8×(5c-2) = 40c - 16
please help with this math
Ninety (90) milliliters is equal to how many tablespoons?
Answer: 6.087 tablespoons. or rounded to nearest whole, 6
Step-by-step explanation:
I just know
How to factor out a polynomial with a 3rd degree.
Answer:
How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256
Answer:
long division is probably the simplest method of finding out the factors
Step-by-step explanation:
For example, let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.
Evan and Brayden want to know if they have more X Box games than Reid and Bryce do
combined. Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of
boys has more? How much more do they have?
Answer:
Step-by-step explanation:
Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of boys has more? How much more do they have?
Reid and Rryce have more. If you add 43 and 42 you get 85 and when you add 76 and 23 you get 99. So now subtract 99 and 23 which is 76.
ILL GIVE BRAINLIEST!!! Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy?
Answer:
The answer is 7 she Can Buy 7 packages of cookies.
Step-by-step explanation:
1. 15-5.50=9.50
2.9.50-7.75=1.75
3. 1.75-0.25*7=0
She wouldn't have any money left over to buy it
the equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k
Step-by-step explanation:
What do you mean "no real roots" ?
if I understand correctly we have
2x² + 5kx + k = 0
the solutions for such a quadratic equating are
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 2
b = 5k
c = k
so, we get
x = (-5k ± sqrt(25k² - 8k))/4
why would that have no real solutions ?
e.g. k = 2
x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4
since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.
I don't understand what your need here.
Part A
Triangle ABC is reflected across the
X-axis to form triangle A'B'C'. What are
the coordinates of C after the
reflection? (Draw the image across the
Taxis)
Do
76
A. (-6,4)
B. (3,-2)
C. (4, -6)
D. (6,-4)
Answer:
D) (6, -4)
Step-by-step explanation:
pt C has coordinates of (6,4)
if you reflect that point across the x-axis the x-value remains the same and the y-value continues to be 4 units from the x-axis, but below it instead of above it
ill mark brainliest thanks
Answer:
x=10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
6x-7 = 26+2x+7
Combine like terms
6x-7 = 2x+33
Subtract 2x
6x-7-2x =2x+33-2x
4x-7 = 33
Add 7 to each isde
4x-7 +7 = 33+7
4x=40
Divide by 4
4x/4 = 40/4
x=10
Help help help help help help help help help help help
Answer:
Step-by-step explanation:
A' = (2 + 3, 1 + 2) = (5, 3)
B' = (-1 + 3, -3 + 2) = (2, -1)
C' = (3 + 3, -3 + 2) = (6, -1)
Question 2 Fill-In-The-Blank Worth 3 points)
(04.04)
Point R is at (4.1.5) and Point T is at (429) on a coordinate grid. The distance between the two points is_(Input numbers and decimal point only, such as 82)
Answer for Blank 1
Answer:
1.4
Step-by-step explanation:
in the graph, the points are 14 points apart, when the step of the graph is set to .1, if you count, they're .14 point apart, or 1.4
What is a quartic function with only two real zeros at x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609
D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13
Zeros be a and b
a=7b=13Function
[tex]\\ \sf\longmapsto y=x^2-(a+b)x+ab[/tex]
[tex]\\ \sf\longmapsto y=x^2-(7+13)x+(7)(13)[/tex]
[tex]\\ \sf\longmapsto y=x^2-20x+91[/tex]
Option B
PLEASE HELP ME!
Find the x- and y-intercepts of the graph of -x+2y=6. State each answer as an integer or an improper fraction in simplest form.
A square is inscribed in a circle as shown below. The radius of the circle is
decreasing at a constant rate of ½ centimeter per second. When the
radius of the circle is 4√2 centimeters, what is the rate of change of the
area of the shaded region found outside the square but inside the circle.
Answer:
3
Step-by-step explanation:
The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the work done in Joules when moving the particle from x=2 to x=5?
[tex]W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J[/tex]
Write the linear equation that gives the rule for this table.
x f(x)
1 –47
2 –45
3 –43
4 –41
Answer:
The linear equation that gives the rule of the table is f(x) = x + 25
The linear equation can be represented in a slope intercept form as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
Using the table let get 2 points
(2, 27)(3, 28)
let find the slope
m = 28 - 27 / 3 -2 = 1
let's find b using (2, 27)
27 = 2 + b
b = 25
Therefore,
y = x + 25
f(x) = x + 25
Step-by-step explanation:
If you own a car with an assessed value of 23,300 in the state of West Virginia, which has a 1.66% tax rate, what would your property taxes be for your vehicle
Answer:
Average County Tax Rate
0.520%
(Mercer County)
Property Taxes
$121
(Annual)
Step-by-step explanation: I'm assuming this is the answer, if you can please can you mark me Brainliest.
Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 that are multiples of 9
Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,
[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]
The odd multiples of 9, [tex]m[/tex], in the range [tex]2\le m \le 82[/tex] form the set
[tex]\{9,27,45,63,81\}[/tex]
Each member of the set is a term of the arithmetic progression
[tex]U_n=18n+9[/tex]
where the values of [tex]n[/tex] range from 0 to 4, or [tex]0\le n\le 4[/tex]
Putting these facts together, we get the result
[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]
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Hello, Sorry To bother you nice ppl but more questions awaits u :)
Answer:
B. -2x + 10 is the correct answer
Answer:
(C) -2x + 10
Step-by-step explanation:
This is going to be multiplication from the first number outside the "Bubble"
-2 multiplied by x = -2x ,
why ? because a negative times a positive makes a negative
Next is -2 multiplied by -5 = 10
why ? because a negative times a negative = equals a positive !
now .. you add up all of the sums together to make an equation ..
Answer would be -2x+10
ILL GIVE BRAINLIEST! THIS IS DUE SOON PLEASE
Answer:
-3
Step-by-step explanation:
a. Simply put (x+h) wherever you have x.
[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h[/tex]
b. We have the first part, just subtract
[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h - (-3x+7) = -3x+7-3h +3x -7 = -3h[/tex]
c. Finally, we divide by h[tex]\frac{-3h}h = -3[/tex]
Help please i need to know this answer
Answer:
976
SA=2(S1)+2(S2)+S3
S1=14*24/2
S1=168
S2=25*10
S2=250
S3=14*10
S3=140
SA=2(168)+2(250)+140
SA=976 cm
PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours? If Ava makes $15 in 2 hours, what is her rate of pay? 3nt took 5 hours to mow 6 yards. At that rate, how many yards can be mowed in 20 hours? co malaya $ o 94 If 10 bags of ice cost $12, how much does 1 bag cost? 5 A car gets 30 miles per gallon of gas. At that rate, how many gallons would it take for the car to go 360 If you type 75 words in 3 minutes, at what rate do you type? RECORD PASSCODE Directions Complete the questions, match each answer on the decoder eing, med record the letter from that spot When complete, go back to The Nission page te access the posscode reader to check your answer and solve another part of the mystery
The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:
1. Given that 3 cakes takes 6 hours to bake, then:
1 cake = [tex]\frac{6}{3}[/tex]
= 2 hours
So that;
the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]
= 6
The number of cake to be baked in 12 hours is 6.
2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]
= $7.5 pr hour
Thus Ava's rate of pay is $7.5 per hour.
3. It took 5 hours to mow 6 yards. Thus;
To mow 1 yard = [tex]\frac{5}{6}[/tex] hours
The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]
= 20 x [tex]\frac{6}{5}[/tex]
= 24
The number of yards to be mowed in 20 hours is 24.
4. Given that 10 bags of rice cost $12, then;
1 bag = [tex]\frac{12}{10}[/tex]
= 1.2
1 bag = $1.2
The cost of a bag of rice is $1.2.
5. Rate = 30 miles per gallon
The number of gallons required = [tex]\frac{360}{30}[/tex]
= 12
Thus 12 gallons would be required by the car to travel 360 miles.
6. Rate = [tex]\frac{75}{3}[/tex]
= 25
Rate = 25 words per minute
The typing speed is 25 words per minute.
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What is the slope of the line?