WILL GIVE BRAINLIEST:
Elanor wants to estimate the number of frogs in a reservoir.
She catches 90 frogs from the reservoir and marks them with a non-harmful dye.
Elanor then returns the frogs to the reservoir.
The next day she catches another 70 frogs and 10 of these are marked with the dye.
Work out an estimate for the total number of frogs in the reservoir.
Answer:
approximately 150 frogs
Step-by-step explanation:
To find your estimate, you have to add 90 + 60 because from the 70 that Elanor caught the second day, 10 of them were the ones that she had caught the day before so you have to do 70 - 10 = 60. Therefore, 90 + 60 = 150 estimated frogs.
Solve the quadratic equation. x2+x−6=0
Answer:
The value of x is -3 and 2.
Step-by-step explanation:
First, you have to elaborate the equation :
\( {x}^{2} + x - 6 = 0\)
\( {x}^{2} - 2x + 3x - 6 = 0\)
Next, you can factorize it by taking out the like-terms :
\(x(x - 2) + 3(x - 2) = 0\)
\((x + 3)(x - 2) = 0\)
Lastly you have to solve it :
\(x + 3 = 0\)
\(x = - 3\)
\(x - 2 = 0\)
\(x = 2\)
Answer:
\(x = 2\) or (look down)
Step-by-step explanation:
\(x^{2}\)+\(x\)−\(60\) \(=\) \(0\)
Answer:
\(x = -3\)
Compare and contrast XY with XY.
XY
XY
Represents a distance
Represents a segment
O
O
Represents a numerical value
1
Represents a geometric figure
Can be found by applying the ruler postulate
Can be duplicated with a compass and straightedge
O
Answer:
\({}\) XY \(\overline {XY}\)
Represent a distance \({}\) √
Represent a segment \({}\) √
Represent a numerical value \({}\) √
Represent a geometric figure √
Can be found by applying the ruler postulate \({}\) √
Can be be duplicated with a compass and a straight edge √
Step-by-step explanation:
The difference between XY and \(\overline {XY}\) are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false
The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.
The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the conditional probability of B given that A has occurred.
It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.
In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.
In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.
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Please helpppp
side lengths, surface areas, and volumes fo...
a designer builds a model of a sports car. the finished model is exactly the same shape as the original, but smaller. the scale factor is 3:11
(a) find the ratio of the surface area of the model to the surface area of the original.
(b) find the ratio of the volume of the model to the volume of the original.
(c) find the ratio of the width of the model to the width of the original.
nrite these ratios in the format m:n.
surface area:
volume:
width:
The ratios are: surface area 9:121, volume 27:1331, width 3:11.
(a) The ratio of the surface area of the model to the surface area of the original can be found by using the scale factor to find the ratio of the corresponding side lengths. Since surface area is proportional to the square of the side length, we can use this ratio squared to find the ratio of the surface areas.
The ratio of the corresponding side lengths is 3:11, so the ratio of the surface areas is (3/11)^2, which simplifies to 9/121.
Therefore, the ratio of the surface area of the model to the surface area of the original is 9:121.
(b) The ratio of the volume of the model to the volume of the original can be found using the same method as above, but with volume instead of surface area. Since volume is proportional to the cube of the side length, we can use this ratio cubed to find the ratio of the volumes.
The ratio of the corresponding side lengths is 3:11, so the ratio of the volumes is (3/11)^3, which simplifies to 27/1331.
Therefore, the ratio of the volume of the model to the volume of the original is 27:1331.
(c) The ratio of the width of the model to the width of the original can be found directly from the scale factor, since width is one of the corresponding side lengths.
The ratio of the corresponding side lengths is 3:11, so the ratio of the widths is 3:11.
Therefore, the ratio of the width of the model to the width of the original is 3:11.
Overall, the ratios are: surface area 9:121, volume 27:1331, width 3:11.
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Data- Tablets of a drug are sold at 3 for $0.65. How many tablets will be dispensed to a patient who wants $6.00?
The patient will receive approximately 87 tablets based on the pricing of 3 tablets for $0.65. With a desired amount of $6.00, dividing by the cost per tablet yields the quantity of tablets to be dispensed.
To calculate the number of tablets that will be dispensed to a patient who wants $6.00 worth of tablets, we need to determine the cost per tablet and divide the total amount by the cost per tablet.
The tablets are sold at a rate of 3 for $0.65. To find the cost per tablet, we divide the total cost ($0.65) by the number of tablets (3). This gives us the cost per tablet, which is approximately $0.2167.
Next, we divide the desired amount of $6.00 by the cost per tablet ($0.2167). This calculation gives us the number of tablets that can be dispensed to the patient.
Dividing $6.00 by $0.2167, we find that approximately 87 tablets can be dispensed to the patient.
Therefore, the patient will be dispensed 87 tablets based on the given pricing information and the desired amount of $6.00.
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Simplify the expression. Write your answers using integers or improper fractions.
− 3/2(1/2 n+2n−3)+4n
The expression is simplified to n - 16/ 4
What are algebraic expressions?
Algebraic expressions are expressions comprising of terms, variables, factors, constants and coefficients.
They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.
Given the expression;
− 3/2(1/2 n+2n−3)+4n
Solve the variables in the bracket, we have;
- 3/ 2 { n + 4n - 6 / 2} + 4n
-3/2 { 5n - 6/ 2 } + 4n
expand the bracket
- 15n - 18/ 4 + 4n
Fin the LCM
-15n - 16 + 16n /4
n - 16/ 4
Thus, the expression is simplified to n - 16/ 4
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Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book? StartFraction 1 Over 289 EndFraction StartFraction 10 Over 289 EndFraction StartFraction 5 Over 136 EndFraction One-tenth.
The probability that Nadia randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136.
We have,17 total number books out of which,10 are fiction books, 2 are reference books, 5 are non-fiction books.
What are combination and probability?The combination is the number of ways of selecting things.
Probability is to quantify the possibilities.
Number of ways in which a reference book can be picked = ²C₁
Probability of picking a reference book = ²C₁ / ¹⁷C₁ = 2/17
Now, the total number of books left on the bookshelf is 16
The number of ways in which a non-fiction book can be picked after a reference book is already picked up( no replacement) = ⁵C₁ / ¹⁶C₁ = 5/16
Total probability =multiplication of both the possibilities
Total probability =(2/17)×(5/16) = 5/136
Therefore, the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136
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Answer:
C. 5/156
Step-by-step explanation:
Edge 2023
giving brainiest :) ^^
Answer:
78
Step-by-step explanation:
I think its 78 because for the top 2 cubes on the top I did one 2cm for one side then there are 8 sides in a cube so I did 2x8=16 and the cube below that is the same so that's also 16 then I did 16x2=32 so the green cubes are 32 and the big blue has 8sides as well each side is equal so 2+5+5+11=23 and there is two of them each next I did 23x2=46cm and finally do 32+46=78cm I hope that the right answer I don't know for sure make sure to check for sure hope this helps.
Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.
Answer:
3
Step-by-step explanation:
24
Answer:
5×2=10
10/2=5
5yd2
mark brainliest pleaseeeeee
What fraction times 24=12
Answer:
1/2
Step-by-step explanation:
Answer: 12/2 i think
Step-by-step explanation:
Find the present value of 30 annual payments of $4,500 per annum where the first payment is made 5 years from now. So there are 30 annual payments from t=5 to t=34 inclusive. The discount rate is 9% pa. The present value of these payments is: Select one: a. $49,999.998 b. $47,550.695 c. $35,421.2587 d. $33,686.1107 e. $32,751.5184
The present value of 30 annual payments of $4,500 per annum where the first payment is made 5 years from now with a discount rate of 9% per annum is $49,999.998. Therefore, the correct option is a. $49,999.998.
Present Value (PV) is the value at which the money that is expected to be received at some future time is worth in today's dollars. It is also called the "discounted value." It is used to measure the value of a future amount in today's dollars. Therefore, it is an essential component of discounted cash flow analysis, used to calculate the value of an investment or debt instrument over time.
The formula to calculate the present value of annuity formula is as follows: PV = [PMT * (1 - (1 / (1 + r)n))]/r
Where,PV = present value of annuity
PMT = payment made every year
r = rate of interest per year
n = number of years
An annuity is a fixed sum of money paid each year.
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Find the slope from the two points given: (0, -2) and (-6, 4)
Answer:
Step-by-step explanation:
here x1=0 y1=-2 x2=-6 y2=4
slope=y2-y1/x2-x1
=4-(-2)/-6-0
=4+2/-6
=6/-6
=-1
therefore slope=-1.
an initial population of 765 quail increases at an annual rate of 16%. write an exponential function to model the quail population. what will the approximate population be after 4 years?
An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.
Population growth is seen to increase at an exponential rate. We use the following to model this growth.
y = A₀(1 + r)ⁿ
where
y = value at time
A₀ = original value
r = rate of growth
n = time elapsed
An exponential function that models the quail population is set up like:
y = 765(1+0.16)ⁿ
so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,
y = 765(1+0.16)⁴
y = 765(1.16)⁴
y = 765* 1.81
to get
y = 1384.65 quails after 4 year has elapsed.
Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.
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Identify a1 and r for the geometric sequence
a1 =
r =
Answer:
a₁ = - 256 , r = - \(\frac{1}{4}\)
Step-by-step explanation:
The nth term of a geometric sequence is
\(a_{n}\) = a₁ \((r)^{n-1}\)
Given
\(a_{n}\) = - 256 \((-\frac{1}{4}) ^{n-1}\) , then by comparison
a₁ = - 256 and r = - \(\frac{1}{4}\)
A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answer:
We would conclude that the new program doesn't seem to be more effective than the old program.
Step-by-step explanation:
We are given;
Population mean; μ = 91
Population standard deviation; σ = 10
Sample mean; x¯ = 90.7
Sample size; n = 19
Formula for z-score
z = (x¯ - μ)/(σ/√n)
z = (90.7 - 91)/(10/√19)
z = -0.131
From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;
P-value = 0.4479
This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.
Juma spent half of his salary on school fees one-eighth on farming and two thirds of the reminder on food . Calculate his July salary if he spent sh.3200 on food
Answer:
1/2 + 1/8 = 5/8 ; Rem=3/8.64
Food=2/3 × 3/3 = 1/4 ; Food=1 4 = 3200. Salary =sh12800.
Step-by-step explanation:
On the coordinate grid, the graph of y=-x-1 is
shown. It is a reflection and translation of y = √x.
Ty
6-
-5
What is the range of the graphed function?
O(x1-2
(v1-2
OxIx is a real number}
Oyly is a real number}
The domain of the function is the set of all real numbers, C: {x| x ∈ R}
What is domain of a function?The domain is the set of values for which the given function is defined.
Problematic points can be zeros in denominators, or negative arguments in square roots,
In this case, our function is:
y = ∛(x - 1)
Thus, the domain of this function is just the set of all real values, written as: C: {x| x ∈ R}
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a dataset on 91 roller coasters lists the duration of the ride in seconds in addition to the drop height in feet for some of the coasters. one coaster, the tower of terror, is unusual for having a large drop but a short ride. after setting it aside, a regression to predict duration from drop for the remaining 90 coasters has r29.4%. complete parts a through c.a) What are the variable and units in this regression? The predictor variable is ___ in units of ___ and the response variable is ___ in units of ___ b) What units does the slope have? Feet, Seconds per foot, Seconds, Feet per second. c) Is the slope probably positive or probably negative? Explain. The slope is probably ____ because ___
(a) The predictor variable is Fall in feet and the response variable is Duration in seconds.
(b) The slope is in seconds per foot.
(c) The slope may be negative, as greater drop heights generally result in longer travel times.
(a) The predictor variable in this regression is Drop, which represents the drop height of the roller coaster, in feet, in feet. The response variable is Duration, which represents the duration of the trip, in seconds, in seconds.
(b) The units of slope in this regression are seconds per foot. This means that for each unit of increase in descent height in feet, the travel time will increase or decrease the value of the slope, measured in seconds per foot.
(c) The slope can be negative, as greater drop heights generally result in longer ride times, and the Tower of Terror roller coaster, which was exceptionally short despite its large drop height, has were removed from the analysis.
Therefore, the remaining 90 roller coasters in the dataset likely exhibit a negative relationship between drop height and time, meaning that as drop height increases, ride time decreases .
The Low R-value squared 29.4% means that the relationship between roller coaster drop and ride time in the data set is highly variable, but the negative slope indicates a general downward trend.
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40
Why are the solutions to the proportions 8
=
х
and
40
10
8 the same?
10
O because both result in the equation 8X= 400, which simplifies to X = 5
O because both result in the equation 8x=400, which simplifies to x = 50
O because both result in the equation 40x=80, which simplifies to X = 2
O because both result in the equation 40x = 80, which simplifies to X = 20
Answer:
B.
Step-by-step explanation:
They both have the same solution because both end up having
=> 8x = 500
Which is further simplified into
=> x = 50
suppose we conducted a survey, and found that of 600 people sampled, 216 preferred candidate a. we are interested in the percentage of voters in the population who prefer candidate a. what is the numerical value of the sample statistic in this case?
Therefore, the numerical value of the sample statistic (sample proportion) in this case is 0.36 or 36%.
The sample statistic in this case is the proportion of people in the sample who preferred candidate A.
Given:
Sample size (n) = 600
Number of people who preferred candidate A in the sample (x) = 216
The sample statistic, which represents the proportion of people who preferred candidate A in the sample, can be calculated as:
Sample proportion (p-hat) = x / n
Substituting the given values:
Sample proportion (p-hat) = 216 / 600
= 0.36
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for infinity car wash, the arrival rate is 9 / hour and the service rate is 16 / hour. the arrival and service distributions are not known so we can't use the m/m/1 formulas. if the average waiting time in the line is 23 minutes, then how many customers (waiting and being served) are at the carwash
The approximate number of customers (waiting and being served) at the carwash is 3.
To determine the number of customers (waiting and being served) at the carwash, we can use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.
In this case, the average arrival rate is 9 customers per hour, and the average waiting time is given as 23 minutes (which is equivalent to 23/60 = 0.3833 hours).
Using Little's Law, we can calculate the average number of customers in the system:
Average number of customers = Average arrival rate * Average time spent in the system
Average number of customers = 9 customers/hour * 0.3833 hours
Average number of customers = 3.4497 customers
Since we can't have fractional customers, we round the value to the nearest whole number.
Therefore, the approximate number of customers (waiting and being served) at the carwash is 3.
It's important to note that this calculation assumes steady-state conditions and that the arrival and service distributions are not known.
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please answer ill give you branliest!!
Answer:
66.28 sq. km
Step-by-step explanation:
the area of fig. =
(4×3)+(8×6)+(½×3.14×2²)
= 12+48+6.28
= 66.28 sq. km
Help me find the correct answer
Answer:
180x
Step-by-step explanation:
Volume is length*width*height, so we multiply all the numbers together.
15*12=180
180*x=180x
So, your answer is 180x ft^2
Match each country to its description. Saudi Arabia United States Poland highest consumer of oil arrowRight first commercial oil well arrowRight highest producer of oil arrowRight
Answer:
Saudi Arabia- highest producer of oil
The United States- highest consumer of oil
Poland - highest consumer of oil
Step-by-step explanation:
The first commercial oil well was discovered in Poste Pole located in Southern Poland. Today, the area is a forest with litters of garbage. A careful observation of the soil reveals the black crude oil.The United States is the highest consumer of oil. The records show that as of 2019, they consumed 19,400,000 barrels of oil per day. They were closely followed by China who had a consumption of 14,056,000 barrels per day.Saudi Arabia - Prior to 2017, Saudi Arabia was the highest producer of oil in the world. Presently, they have been overtaken by the United States who have adopted improvised ways of drilling oil.f(x) = 4x^2 – 4x
Find f(-7)
Answer:
f(-7)=224
Step-by-step explanation:
\(f(x) = 4x^2 -4x\\f(-7)= 4(-7)^2 - 4(-7)\\= 4(49) -+28\\=196+28\\f(-7) = 224\)
Use the following function rule to find f(-3.29).
f(x) = x + 2.58
Write your answer as a decimal or whole number.
f(-3.29) =
Please help with this!
Answer: see attachment
Step-by-step explanation:
Katherine is a waitress at a restaurant. Each day she works, Katherine will make a guaranteed wage of $20, however the additional amount that Katherine earns from tips depends on the number of tables she waits on that day. From past experience, Katherine noticed that she will get about $7 in tips for each table she waits on. How much would Katherine expect to earn in a day on which she waits on 11 tables? How much would Katherine expect to make in a day when waiting on tt tables?
Now, let’s say the children sold 50 cups of lemonade on the first day and 90 cups on the second day. Which proportion can be used to calculate the percent increase in the number of lemonade cups sold?
If the children sold 50 cups of lemonade one the first day and 90 cups on the second day. then the percentage increase in the number of lemonade cups sold 80%
The number of cups of lemonade sold on first day = 50 cups
The number of cups of lemonade sold on second day = 90 cups
The percentage increase = (New value - Old value)/Old value × 100
Substitute the values in the equation
The percentage increase in the number of lemonade cups sold
= \(\frac{90-50}{50}\)×100
= 0.8×100
= 80%
Hence, if the children sold 50 cups of lemonade one the first day and 90 cups on the second day. then the percentage increase in the number of lemonade cups sold 80%
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Answer:
90-50/50 = P/100
Step-by-step explanation:
This is the correct answer on T4L!