The table below shows the number of students who are signed up for Algebra 2 and/or Chemistry next year. Find P(Algebra 2 ∩ Not Chemistry).
Answers
The probability of a student being signed up for Algebra 2 but not Chemistry is 0.54 or 54%.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.
According to question:To find P(Algebra 2 ∩ Not Chemistry), we need to look at the number of students who are signed up for Algebra 2 but not Chemistry. From the table, we can see that there are 260 students who are signed up for Algebra 2 and not Chemistry.
P(Algebra 2 ∩ Not Chemistry) = number of students signed up for Algebra 2 and not Chemistry / total number of students
= 260 / 480
= 0.54
Therefore, the probability of a student being signed up for Algebra 2 but not Chemistry is 0.54 or 54%.
So the answer is 0.54.
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Related Questions
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
By what percent does the number of wolves change each year?
Answers
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
Percent calculation.
To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.
The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.
To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:
Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
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8 A geometric sequence has all
positive terms. The sum of the
first two terms is 15 and the sum
to infinity is 27.
a
Find the value of the common
ratio.
b Hence, find the first term.
Answers
Let the terms be a, ar, ar², ...
The sum to infinity being 27 means that:
\(\frac{a}{1-r}=27 \implies a=27(1-r)\)
The sum of the first two terms being 15 means:
\(a+ar=15 \\ \\ (27-27r)+r(27-27r)=15 \\ \\ 27-27r+27r-27r^2 =15 \\ \\ 27r^2 -12=0 \\ \\ 27r^2 =12 \\ \\ r^2=\frac{12}{27}\)
Since all the terms are positive, r>0.
\(\boxed{r=\frac{2}{3}} \\ \\ \implies a=27\left(1-\frac{2}{3} \right)=\boxed{9}\)
I’m not sure the answer. help!!
Answers
Answer:
x = {-5π/4, -3π/4, 3π/4, 5π/4}
Step-by-step explanation:
You know that sec(x) = 1/cos(x), so this is equivalent to ...
cos(x) = -1/√2
The cosine has a magnitude of 1/√2 for an angle of 45°, or π/4 radians. It is negative in the 2nd and 3rd quadrants. Angles in those quadrants that have a reference angle of π/4 are ...
3π/4, 5π/4
We also want angles in the range -2π to 0, so all of the solutions will be ...
sec(x) = -√2 for x = {-5π/4, -3π/4, 3π/4, 5π/4}
__
We like to use the x-intercept as the solution when graphing, so we write the given equation as ...
sec(x) +√2 = 0
The graph verifies the above solutions.
Arrange the following numbers in ascending order. (a) 5812214,
Answers
Answer:
1, 1, 2, 2, 4, 5, 8
Step-by-step explanation:
Hope this helps :)
Maybe brainliest?
Toyotas manufactured in the 1990s have a mean lifetime of 22.6 years, with a standard deviation of 3.1 years. The distribution of their lifetimes is not assumed to be symmetric. Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least 95% of the Toyotas
Answers
Answer:
The answer is "8.74 and 36.46 years"
Step-by-step explanation:
Mean (life-time)=22.6 years
standard deviation= 3.1 years
We must find out how many standard deviations are 95% of the data.
\(1 - \frac{1}{k^2} = 0.95\\\\1 - 0.95 = \frac{1}{k^2}\\\\\frac{1}{k^2} = 0.05\\\\\frac{1}{0.05} =k^2\\\\k^2 = 20\\\\ k = 4.47\)
Calculating the lower limit and upper limit:
\(Lower\ limit = 22.6 - 4.47(3.1) = 22.6 - 13.86 = 8.74\\\\Upper\ limit = 22.6 + 4.47(3.1) = 22.6 + 13.86 = 36.46\)
Limit is 8.74 years to 36.46 years
Complete the table for the following function y = 3 Superscript x x -3 -2 -1 0 1 2 3 y One-third 1 3 Graph the function and describe what the graph looks like. a. Increases in Quadrant III b. Increases from left to right c. Decreases from left to right d. Decreases in Quadrant II
Answers
The correct answer is to increase from left to right. The correct option is B.
To complete the table for the function \(y = 3^x - 3\),
x y
-3 1/27
-2 1/3
-1 0
0 2
1 6
2 18
3 54
To graph the function, we can plot the points from the completed table on a coordinate plane and connect them with a smooth curve.
The graph of the function \(y = 3^x - 3\) looks like an exponential function that increases from left to right, passing through the point (0, 2) on the y-axis. The graph is concave up and approaches the x-axis but never touches it.
Therefore, the correct answer is to increase from left to right. The correct option is B.
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Help me on this question
Answers
Answer:
2.5,,6.2,,3.4,,5.3
Step-by-step explanation:
Times the Big number by the small number
3^4=81
2^5=32
5^3=125
Therefore the smallest to largest amount order = 2^5, 6^2, 3^4, 5^3
Pls helppppppppoppppppp
Answers
Answer:
H. 3\(\frac{3}{4}\)feet
Step-by-step explanation:
Length of scale drawing = \(\frac{3}{12}\) × 15feet
= 3\(\frac{3}{4}\)feet
.. $15,000 at 6% compounded monthly for 10 years
Answers
The compound interest when $15,000 at 6% compounded monthly for 10 years is $11,937.825.
What is percent?Percent is a term used to describe a portion of a whole, expressed as a fraction of 100. It is represented by the symbol "%". Percentages are commonly used to express proportions, rates, and changes in values. For instance, we may talk about a 10% increase in sales, a 20% discount on an item, or a 50% probability of an event occurring.
Here,
To calculate the interest earned on an investment of $15,000 at a 6% annual interest rate, compounded monthly for 10 years, we can use the formula for compound interest:
A = P(1 + r/n)ⁿˣ
where:
A = the total amount after the specified time period
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
x = the time period in years
Plugging in the given values, we get:
A = 15000(1 + 0.06/12)^(12*10)
A = 15000(1.005)^120
A = 15000(1.795855)
A = 26937.825
Therefore, the interest earned on the investment is:
Interest = A - P
Interest = 26937.825 - 15000
Interest = 11,937.825
So the interest earned is $11,937.825.
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Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Nolan's birthday.
Answers
The equation of remaining chocolate C in terms of t is C = 30 - 3t.
What is an equation?A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.
Given that,
Initial number of chocolates in box = 30
Also given that after 8 nights, number of remaining chocolates = 6
Implies that,
In 8 nights, 24 chocolates were treated.
In 1 night, 3 chocolates were treated.
The equation of remaining chocolate C in terms of t can be written as
C = 30 - 3t.
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Fine the vertex, the axis of symmetry and the y intercept of the graph
Answers
Answer:
vertex: (-3,2) because the vertex would be the center point of the parabola
axis of symmetry: x=-3, the axis of symmetry is the the center/split in the parabola.
y-intercept: y= -1, because this is the point where the parabola crosses through the y-axis
X increased by 61% plz help
Answers
Answer:
Step-by-step explanation:
x+61/100
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
Answers
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Helppp ASAAPPPP WILL MARK AS BRAINLIST
Answers
Determine whether the triangle is a scalene, isosceles of equilateral
Answers
Answer:
Equilateral triangle: All three sides are equal.
Isosceles triangle: All two sides are equal.
Scalene triangle: No sides are equal.
Step-by-step explanation: Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.
Step 2: Calculate the side length AB using the distance formula.
Step 3: Calculate the side length BC using the distance formula.
Step 4: Calculate the side length AC using the distance formula.
Step 5: Compare the side lengths AB, BC, and AC from the previous steps to define the triangle type.
27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
Answers
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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What is 4589 rounded to the nearest thousand
Answers
Answer:
35000
Step-by-step explanation:
n 34519, the hundredth digit is 5 and so, rounding off 34519 to the nearest 1000 result in 35000.
The table shows that the number of miles driven by Sandra is directly proportional tothe number of gallons used.GASOLINE USAGENumber ofGallons UsedNumber ofMiles Driven51545122.536751,102.5What is the constant of proportionality for this relationship?A 0.5B315СD24.5O AOBСO
Answers
the constant of proportionality is:
\(\begin{gathered} y=kx \\ so, \\ k=\frac{y}{x} \end{gathered}\)therefore:
\(\frac{122.5}{5}=\frac{367.5}{15}=\frac{1102.5}{45}=24.5\)answer: D
The world’s population is expected to grow at a rate of 1.3% per year until at least the year 2020. In 1994 the total population of the world was about 5,642,000,000 people. Use the formula to predict the world’s population , n years after 1994, with equal to the population in 1994 and i equal to the expected growth rate. What is the world’s predicted population in the year 2020, rounded to the nearest million? Question 2 options:12,632,000,0007,911,000,0007,549,000,0007,317,000,000
Answers
Answer
The answer is 7,911,000,000
EXPLANATION
Problem Statement
The question tells us that the world's population is modeled by the formula:
\(\begin{gathered} P_N=P_0e^{iN} \\ \text{where, } \\ i=\text{growth rate of the population} \\ N=\text{Number of years} \\ P_0=\text{Initial population at 1994} \\ P_N=\text{Population at year of interest} \end{gathered}\)Solution
To solve this question, we simply need to plug in all the values given to us. That is,
\(\begin{gathered} \text{Growth rate = 1.3 \%} \\ \text{ Initial population (}P_0)=5,642,000,000 \\ \text{Number of years (N) = 2020 - 1994 = 26} \end{gathered}\)Thus, we can find the estimated world population in year 2020 as follows:
\(\begin{gathered} P_N=P_0e^{iN} \\ P_N=5,642\times10^6\times e^{\frac{1.3}{100}\times26} \\ P_n=7,910.88\times10^6\approx7,911,000,000\text{ (To the nearest million)} \end{gathered}\)Final Answer
The answer is 7,911,000,000
Answer: b.7,911,000,000
Step-by-step explanation:
Michael weighed 186 pounds. His doctor put him on a diet which enabled him to lose 3 pounds per month. What was his weight after 7 months on the diet?
Answers
Answer:
165 pounds
Step-by-step explanation:
3 times 7 = 21
186 - 21 = 165
What is a benefit of obtaining a personal loan?
getting money with special repayment terms
getting money with favorable interest rates
getting small amounts of money
to use immediately
getting large amounts of money to use immediately
Answers
The benefit of obtaining a personal loan is getting large amounts of money to use immediately.
Option D is the correct answer.
What is a personal loan?A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.
We have,
The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.
However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.
Thus,
The benefit of obtaining a personal loan is getting large amounts of money to use immediately.
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6m + 4n + 3m - 6
What are the coefficient[s]? Separated them with a comma
Answers
Answer:
6,4,3
Step-by-step explanation:
A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything
Answer:
6,4,3, and -6
Step-by-step explanation:
These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.
URGENT! WILL GIVE BRAINLY FOR CORRECT ANSWER
Draw the image of \triangle ABC triangle, A, B, C under a dilation whose center is P and scale factor is 2.
Answers
nine times a number y subtracted from 85 is seven times the sum of four and y
Answers
Answer:
85-9y= 7(4+y)
solve for y if you need to simplify
Please help
For the sequence 12,8,4...
write the explicit rule..
Find the 100th term...
Is this a function or relation? Why?
Answers
Answer: ion evn kno cuh
Step-by-step explanation:
Answer:
This is arithmetic sequence and the common difference is equal to -4.
Step-by-step explanation:
If yuh just want the answer here, not explained
Jim’s music library on his phone holds 1,900 songs. The songs have an average time of 3.5 minutes. Use scientific notation to find the total number of seconds the playlist will play. Express the answer to the exact decimal place.
Answers
We need to know about scientific notation to solve this problem. The number of seconds the playlist will play is 3.99 x 10^5.
Expressing a number in scientific notation means writing the number as a multiple of ten with ten raised to some power. We use scientific notation for numbers that are very small or very big. When writing numbers in scientific notation we always have one number other than zero before the decimal point. In this question we know that there are 1900 songs and each song has average time of 3.5 minutes, we need to convert the minutes into seconds and multiply the number of seconds of each song to 1900.
1 min=60 seconds
3.5 mins=3.5 x 60=210 seconds
210 x1900=399000 seconds
399000=3.99 x 10^5
Therefore the number of seconds that the playlist will play is 3.99x 10^5
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Choose the three situations that will result in the MOST dramatic increase in the mean.
a. Zeke bowled five frames and earned scores of 120, 90, 110, 105, and 102. He averaged his scores and decided to bowl a sixth frame. He bowled a 225.
b. The average weight of the seven animals at the veterinary clinic was 13 lbs. The next customer brought in his horse that weighed 700 lbs.
c. The average price of the four items Julio bought at the electronics store was $150. He decided to go in and buy a candy bar for $1.25.
d. The 14 items at the yard sale have an average selling price of $5.50. The family decides to also sell a $6.00 plate.
e. Emily played several rounds of golf with friends. She shot an 87, an 83, and a 79. She wasn't happy with her average so she played a fourth round.
f. She scored an 80 on her fourth round. Laura's test scores were 60%, 61%, 54%, and 60%. Her average was very low, so she took her fifth test and earned a 100%.
Answers
Answer:
A,B,F
Step-by-step explanation:
I did the test and got it right, hope this helps
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
Answers
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
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People drive, on average, 11,979 miles per year. About how many miles each week is that?
(Type a whole number or decimal rounded to the nearest tenth as needed)
Answers
Answer:
230.4
Step-by-step explanation:
11,979 divided by 52 is 230.365384615.
230.365384615 Rounded gets the answer
Amanufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)
Answers
Answer:
D
Step-by-step explanation: