The best prediction of the population in the year 2015 will be 4150
rate of decrease involves The rate of reduction expressing a decrease as a percentage of the initial value.To compute a percentage drop, first determine the difference (decrease) between the two values being compared. Then, divide the reduction by the original number and multiply the result by 100.
Given that an island's peasant population is falling at a rate of 1.7% per year,
A 1.7% decrease means that 98.3% will remain.
as a result, decrease = 0.983/year
A(t) = A(original) multiplied by (0.983)^t
As a result, after 6 years, A(6) = 4600 x (0.983)6 = 4150
As a result, the population in 2009 will be 4150.
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you are a customer taking a survey. it lists two brands and asks you to rate how similar they are. what type of survey are you taking?
The correct option is a survey based on multidimensional scaling”.
What is multidimensional scaling?
Using multidimensional scaling (MDS), it is possible to see how similar the individual examples in a dataset are to one another. The pairwise "distances" between a group of items or people are translated using MDS into a configuration of points that are mapped onto an abstract Cartesian space.
Companies utilize multidimensional scaling (MDS) as a technique to visualize the degree of similarity between diverse goods or datasets.
Since the study asks participants to rate how similar two brands are. Consequently, it is regarded as multidimensional scaling (MDS).
Hence the correct option is a survey based on multidimensional scaling”.
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Complete Question
You are a customer taking a survey. It lists two brands and asks you to rate how similar they are. What type of survey are you taking?
A. a focus group application survey
B. a survey based on multidimensional scaling
C. a survey based on attributes
D. a conjoint analysis survey.
Tickets to the garden show cost $6.75 for adults and $3.75 for children. By rounding to the nearest whole dollar, find an estimate of the cost for a family with 2 adults and 3 children to visit the garden show.
thes are the answers
A. $21
B. $23
C. $24
D. $26
IT'S DUE TODAY please some1 help me on this one.
In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°. Find the length of r, to the nearest 10th of an inch.
Answer:
Q+R+S=180
30°+R+129°=180
R=180-159
R=21..
is the answer
A person invests 3500 dollars in a bank. The bank pays 6.75% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 8500 dollars?
nt
A = P(1+2) "²
A person who invests $3,500 in a bank paying 6.75% interest compounded quarterly, must leave it for a period of 53 quarters (13 years) to reach a future value of $8,500.
What is the future value?The future value is the product of the compounded present value at an interest rate for some periods.
Compounding involves charging interest on the accumulated interest and principal, unlike the simple interest system.
When we are given the interest rate, and present and future values, we can determine the period from an online finance calculator as follows:
I/Y (Interest per year) = 6.75%
PV (Present Value) = $3,500
PMT (Periodic Payment) = $0
FV (Future Value) = $8,500
Results:
N (# of periods) = 53.023
Total Interest = $5,000.00
Thus, the investor needs 53 quarters (13 years) to accumulate a future value of $8,500.
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What is a 3 term equation called?
An equation that has 3 variables is called a cubic equation.
In mathematics, the general form of a cubic equation is ax³+ bx² + cx + d=0. Here, a is the co-efficient of the cube of x, b is the co-efficient of the square of x and c is the co-efficient of x. We also have the constant term d.
This is also referred to as a trinomial equation.
The degree of a cubic equation is 3. The degree of an equation is the highest power the equation has. As we can clearly see that the degree here will have to be 3. It also has 3 roots namely, α, β, and γ.
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The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.(a) What proportion of the students scored at least 26 points on this test, rounded to five decimal places?.02275(b) What is the 71 percentile of the distribution of test scores, rounded to three decimal places?24.073
a) The proportion of the students scored at least 26 points on this test is 0.02275.
b) The 71 percentile of the distribution of test scores is 24.073
What is meant by standard deviation?A low standard deviation suggests that values are often close to the mean of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.
Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.
Let the scores be X and X is normally distributed with a mean of 22 and standard deviation of 2.
μ=22
σ=2
X≈N(22,2)
a) P(X≥26)=P(((X-μ)/σ)≥(26-μ)/σ)
=1-P(Z≥2)
=1-P(Z<2)
=1-0.97725
=0.02275
b) Let a is the 71th percentile of X,
P(X≤a)=0.71
P((X-μ)/σ)≤(a-μ)/σ)=0.71
P(Z≤z)=0.71
From the standard normal table by calculating with z value, we get
a=24.073
Therefore,
a) The proportion of the students scored at least 26 points on this test is 0.02275.
b) The 71 percentile of the distribution of test scores is 24.073.
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Graph the linear equation.
Find three
points that solve the equation, then plot
on the graph.
X - y = 0
Answer:
See below.
Step-by-step explanation:
We can find three points by picking values of one of the variables and calculating the other. I'll pick a few values of x: -2, 0, 2, 4. Now calculate the values of y with the equation x-y = 0. We can rearrnage this to -y = -x, or y = x. This tells us that y equals x, so the data points would be:
(-2,-2)
(0,0)
(2,2)
(4,4)
Plot these points on graph paper and then draw a straight line through them. Or use an online graphing utility, such as the free DESMOS. The graph is attached.
Four students, Daniel, Avani, Sydney, and Samantha, line up one behind the other. How many different ways can they stand in line?
Answer:
16
Step-by-step explanation:
there are four of them and four spaces, so you would do 4x4. 4x4= 16
in the u.s., 95% of children have received their dtap vaccine. calculate the probability that fewer than 700 out of a sample of children received their dtap vaccine.
1.46% probability that fewer than 700 children received their vaccine.
What is probability?
The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.
Here, we have
95% of children have received their DTaP vaccine p = 0.95
Sample of 750, n = 750
For the approximation, the mean and the standard deviation are given by:
u = np = 750×0.95 = 712.5
σ = [tex]\sqrt{np(1-p)}[/tex]
σ = [tex]\sqrt{750(0.95)(0.05)}[/tex]
σ = 5.97
Using continuity correction, the probability that fewer than 700 children received their vaccine is P(X < 700 - 0.5) = P(X < 699.5), which is the p-value of Z when X = 669.5.
Z = X-u/σ
Z = 669.5 - 712.5/5.97
Z = - 2.18
The p-value of Z = - 2.18 is 0.0146.
Hence, 1.46% probability that fewer than 700 children received their vaccine.
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Prove that if three consecutive integers are the sides of a right-angled triangle, they must be 3, 4 and 5.
Consecutive integers are a set of positive whole numbers which follows one another respectively. Thus the required proof to the question is as explained below:
What si Pythagoras?The theorem states that:[tex]/hypotenuse/^{2}[/tex] = [tex]/adjacent/^{2}[/tex] + [tex]/opposite/^{2}[/tex]Thus a set of consecutive numbers which represent each side of a right angled triangle must obey the Pythagorean theorem.
Consecutive integers are a set of positive whole numbers which follows one another respectively. Examples are; 20, 21 and 22, 2, 3 and 4 etc.Therefore, the three consecutive integers that are also Pythagorean tribble are 3, 4 and 5.
So that let the adjacent side be 3, and the opposite side 4, then;[tex]/hypotenuse/^{2}[/tex] = [tex]/adjacent/^{2}[/tex] + [tex]/opposite/^{2}[/tex] = [tex]3^{2}[/tex] + [tex]4^{2}[/tex] = 9 + 16 = 25
hypotenuse = [tex]\sqrt{25}[/tex] = 5
Therefore the common three consecutive integers that are Pythagoras tribble are 3, 4 and 5.
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Hello, can you help me please?
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 12% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).
Answer:
721.1 grams.
Step-by-step explanation:
To determine the mass of the sample on the 8th day of the experiment, you can use the formula for compound interest, which is given by the following equation:
A = P(1 + r/n)^nt
where A is the final amount of the substance, P is the initial amount, r is the rate of decay, n is the number of time periods, and t is the number of time periods elapsed. In this case, the initial amount of the substance is 1400 grams, the rate of decay is 12%, and the number of time periods is 1 day. Therefore, the mass of the substance on the 8th day can be calculated as follows:
A = 1400(1 + 0.12/1)^(1*8) = 721.1 grams
Therefore, the mass of the radioactive sample at the beginning of the 8th day of the experiment is 721.1 grams.
A pentagon has 3 sides of length (2x-1) and 2 sides of length (x+5). If the perimeter is 127 what is the length of one of the longest sides.
The required length of one of the longest sides is 29 in the given pentagon.
The pentagon has 3 sides of length (2x - 1) and 2 sides of length (x + 5) and the perimeter of the pentagon is 127.
We know that the perimeter of the pentagon is the total length of all its sides, so we can set up the following equation:
3(2x - 1) + 2(x + 5) = 127
Apply the distributive property of multiplication,
6x - 3 + 2x + 10 = 127
Combine the likewise terms of the equation,
8x + 7 = 127
Finally, we can solve the equation by subtracting 7 from both sides and dividing both sides by 8:
8x = 120
x = 15
Therefore, the length of one of the longest sides is (2 × 15 - 1) = 29.
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There are 1000 milligrams in 1 gram.
How many milligrams are in 12 grams
75 milligrams?
By using the concept of conversion of unit, it can be calculated that
There are 12075 milligrams in 12 grams 75 milligrams
What is conversion of unit?
The process of changing a value from one unit to the equivalent measurement in other unit is called conversion of unit.
Conversion of unit is a very important tools and is very much required in physics, maths and chemistry.
There are 1000 milligrams in 1 gram.
In 12 grams 75 milligrams, number of milligrams = [tex]12 \times 1000 + 75[/tex]
= 12075 milligrams
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How would I make (-3,2); y=-4 into a slope-intercept form equation??
Answer:
Step-by-step explanation:
Step 1: You have the slope so its already y=-4x+b. So you need to find the y intercept.
To find the y intercept, you need to plug the coordinates in. So 2=-4(-3)+b. Then you solve the equation from there.
So itll be y=-4x-10Hope this helps!
your driveway which is 30 ft wide by 50 ft long needs to be repaved by pouring 3 inch thick layer of concrete. how much it would cost to buy the concrete if one cubic yard of concrete costs $ 130.00?
It would cost $1804.86 to buy concrete for repavement of the driveway if 1 cubic yard of concrete costs $130 .
Given,
Width of driveway = 30 ft = [tex]\frac{30}{3}[/tex] = 10 yard
Length of driveway = 50ft = [tex]\frac{50}{3}[/tex] = 16.667 yard
As the driveway is repaved by pouring concrete then it's height will increase
Height of driveway = 3 inch = [tex]\frac{3}{36}[/tex] = 0.0833 yard
Volume of driveway = length x breadth x height
Volume of driveway = 10 x 16.667 x 0.0833
Volume of driveway = 13.8836 cubic yard
Cost of 1 cubic yard of concrete = $130.00
then cost of 13.8836 cubic yards of concrete will be
130.00 x 13.8836 = $1804.86
Thus, the cost of concrete will be $1804.86.
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What is the equation of the line through 1 2 so that the segment of the line intercepted between the axes is?
The equation of the line through (1, 2) so that the segment of the line intercepted between the axes is y+2x=4.
Let's use the slope-intercept form to find the equation of the line,
Hence the equation of the line would be of the form y=mx+c,
now the point at which the line intersects X-axis is (a,0), and the point at which it intersects Y-axis is (0,b).
⇒ m×a+c = 0
⇒a= − c/m
and b=c+0 ⇒ b=c
Now, (1,2) is the midpoint of (a,0) and (0,b)
ie. 2=(0+b)/2 ⇒ c/2 =2
⇒c = 4
and 1=(a+0)/2 ⇒ 1= −c/2m
⇒ m= −c/2
⇒ m= −2
∴ The equation of the line is given by y+2x=4.
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The complete question is-
What is the equation of the line through (1, 2) so that the segment of the line intercepted between the axes is?
select the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn.
according to the question
given data in the question,
the type of sample-
random stratified sampling
The usage of satisfied sampling may be required for a variety of distinct features.
The population is first split into two or more strata or subgroups in this kind of random sampling. Beginning with the sampling procedure, each unit is assigned to one stratum based on the unit's historical performance. Following that, separate random samples are chosen using a basic random sampling technique from each stratum, which contains a percentage of the population. that is, they are both mutually and jointly exhaustive.
The traits that we are evaluating are distinct from those of members of another stratum and similar to those of the sample unit stratum.
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the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn is random stratified sampling
What do you mean sample?A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.
What is sample size maths?
The sample size in statistics is a measurement of the total number of samples utilized in an experiment. The sample size is 50, for instance, if we are evaluating 50 samples of city dwellers who watch TV. It's also known as sample statistics.
Considering the query
the information in the query
a sample's type-
stratified sampling at random
For a number of unique traits, satisfied sampling may be necessary.
In this type of random sampling, the population is initially divided into two or more strata or subgroups. Each unit is categorized into a stratum at the start of the sampling process depending on its prior performance. A basic random sampling approach is then used to select distinct random samples from each stratum, which represents a portion of the population. they are mutually and jointly exhaustive, in other words.
The characteristics that we are examining are different from those of members of one stratum and comparable to those of the stratum that contains the sample unit.
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The Cedarburg Student Council helped decorate the gym for the end-of-year dance. The group used 3 rolls of blue paper streamers for every 2 rolls of yellow paper streamers. Pick the diagram that models the ratio in the story. blue yellow blue yellow If the students used 12 rolls of blue streamers, how many rolls of yellow streamers did they use? rolls
The diagram that models the ratio in the story is circled on the image given at the end of the answer.
If the students used 12 rolls of blue streamers, the number of rolls of yellow streamers that the students used was of:
8 rolls.
What is a ratio?A ratio between two amounts a and b is given by the division of the amount a by the amount b.
The group used 3 rolls of blue paper streamers for every 2 rolls of yellow paper streamers, hence the ratio is given as follows:
blue streamers/yellow streamers = 3/2.
If the students used 12 rolls of blue streamers, the amount of yellow streamers is found applying the proportion as follows:
12/x = 3/2.
Applying cross multiplication, we have that:
3x = 2 x 12
3x = 24
x = 24/3
x = 8 rolls of yellow streamers.
Missing InformationThe problem is given by the image shown at the end of the answer.
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The number of people subscribing to home delivery of medications from a local pharmacy grew exponentially over the course of time starting in 2016, as represented in this table.
Year 2016 2017 2018 2019 2020
Number of subscribers 80 132 218 359 593
Assume that the trend continues at the same rate.
How many people are predicted to subscribe to home delivery of medications from this pharmacy in 2023?
Enter your answer, rounded to the nearest ten, in the box.
Applying the trend in the table the population in 2023 is predicted to be
2898How to find the number of people that will subscribe in 2023Exponential function is a type of function that are of 3 main parts
the starting or initial value base functionthe exponentsConsidering the given problem, f(x) = 80(b)^x
the starting = 80
the base = b
the exponents = x
f(x) = 80(b)^x using the table again
132 = 80b
b = 132/80
b = 1.65
after 2023 the exponents will be
x = 2023 - 2016
x = 7
The predicted population
= 80(b)^x
= 80(1.65)^7
= 2898
the predicted population is 2898
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How do I solve the area?
Answer: To solve for an area of something, we must first multiply the length by the width, something that is 5 inches long and 2 inches wide has an area of 10 square inches. It's basically multiplying the numbers together in order to find the amount of area it has.
Step-by-step explanation:
Ricardo is sharing a box of 25 cookies
between himself and 3 friends. Each of the
kids will receive the same number of
cookies. How many cookies will be leftover
after each kid takes their fair share?
Answer: They will each get 6 and there will be 1 left over.
Step-by-step explanation:
6*4 is 24. 25-24=1
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 42 and a standard deviation of 5. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 37 and 47?
The approximate percentage of daily phone calls numbering between 37 and 47 is of:
68%.
What is defined by the Empirical Rule?These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:
68% of the measures within one standard deviation of the mean.95% of the measures within two standard deviation of the mean.99.7% of the measures within three standard deviation of the mean.The mean and the standard deviation in this problem are given as follows:
Mean: 42 calls answered each day.Standard deviation: 5 calls answered each day.Hence the percentage is of 68%, as these measures are within one standard deviation of the mean.
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Simplify by combining like terms
Answer:
? = 5
Step-by-step explanation:
There are no like terms to 5, so it stays the same
what is the slope of the line
Answer:
Step-by-step explanation: 1/2 is the slope of the line
Which equation is the equation of a line that passes through (- 10 3 and is perpendicular to Y 5x 7?
y = -5x – 13 equation is the equation of a line that passes through (- 10 3 and is perpendicular to Y 5x 7 with slope
The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. To find the equation of a line that passes through (-10, 3) and is perpendicular to y = 5x + 7, we need to find m, the slope of the line.
We can find the slope of the line by using the point-slope form of a line, which is y - y1 = m(x - x1). In this equation, m is the slope, (x1, y1) is a given point on the line, and (x, y) are the coordinates of any point on the line.
Plugging in the given point of (-10, 3) and the line y = 5x + 7 into this equation, we get:
3 - 3 = m(-10 - -10)
The left side of this equation is 0, so the right side must also be 0. That means that m = 0.
Now that we have the slope of the line, we can plug it into the equation of a line, y = mx + b, to get the equation of the line:
y = 0x + b
Next, we need to find the y-intercept, b. To do this, we can use the given point (-10, 3). Plugging this in to the equation above, we get:
3 = 0x + b
Simplifying, we get:
b = 3
Now that we have the slope and y-intercept, we can write the equation of the line in slope-intercept form:
y = 0x + 3
Finally, we can simplify this equation to get the final answer:
y = -5x – 13
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I desperately need help on this IXL.
Answer:
linear
Step-by-step explanation:
equal slope throughout
the number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of per hour. suppose that a sample culture has an initial population of bacteria. find the predicted population after two hours. do not round any intermediate computations, and round your answer to the nearest tenth..
The estimated population is 114.74 microorganisms after three hours.
An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases with time.
a type of growth when the values' logarithms rise linearly with time. This indicates that the value increases faster than it would with linear development. A population that increases by 10% of its value each unit of time would be an example of exponential growth.
let A(f) = number of bacterial 'I' now. in
A(t) = Ao × e^kt
= 71 × e^(0.16XA)
For t = 3 hours
A(t) = 71 × e^(0.16×3)
= 114.74 bacteria
Complete question:
The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 16% per hour. Suppose that a sample culture has an initial population of 71 bacteria. Find the predicted population after three hours Do not round any intermediate computations, and round your answer to the nearest tenth bacteria
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grear tire company has produced a new tire with an estimated mean lifetime mileage of 33,500 miles. management also believes that the standard deviation is 3,500 miles and that tire mileage is normally distributed. to promote the new tire, grear has offered to refund some money if the tire fails to reach 30,000 miles before the tire needs to be replaced. specifically, for tires with a lifetime below 30,000 miles, grear will refund a customer $1 per 100 miles short of 30,000. (a) for each tire sold, what is the average cost of the promotion (in $)? (use at least 1,000 trials. round your answer to two decimal places.) $ (b) what is the probability that grear will refund more than $25 for a tire? (use at least 1,000 trials. round your answer to three decimal places.)
a) The average cost of the promotion is $0.01 per tire.
b) The probability that Greer will refund more than $25 for a tire is 0.9
According to the Question:
Greer Tire Company has:
Lifetime mileage = 33500
Standard Deviation = 3500 miles
a)
Meal lifetime mileage : $33,500
Standard deviation of mileage $3,500
Observed miles 30,000 miles
100 miles failed $1.00
Hence :
The average cost of the promotion:
= (33,500 – 30,000) / 3500
= 3500 /3500
= 1
Therefore,
Cost of production
100 miles = $1.00
= 1 * 1 / 100
= $0.01 per tire
b)
P (z < 25000 -33500/ 3500
= P (z < -8500/ 3500)
= z < -2.4
Hence:
= 1 - 0.1
= 0.9
Therefore, the Probability that gear will refund more than $25.00 per tire is: 0.9
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A line segment has endpoints R (-3,-3) and S (5,2). What is the x-coordinate of the point that is 3/4
of the way from R to S on this line segment?
The distance of the [x] - coordinate between the endpoints → R(-3,-3) and S(5,2), that is equal to 3/4 of RS is 7.08 units away.
What is a function? What is distance formula?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionThe distance formula is given by -[tex]$d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[d] = distance
(x₁, y₁) = coordinates of the first point
(x₂, y₂) = coordinates of the second point
Given is that a line segment has endpoints R (-3,-3) and S (5,2).
Using the distance formula -
RS² = (2 + 3)² + (5 + 3)²
RS² = (5 x 5) + (8 x 8)
RS² = 25 + 64
RS² = 89
RS = √(89)
RS = 9.44
Now, 3/4 of RS will be -
{3/4} x 9.44
7.08
Therefore, the distance equivalent to 3/4 of RS is 7.08 units away.
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Solve the following problems. Find sin 60°, cos 60°, tan 60°, and cot 60°.
By using trigonometry, it can be concluded that
sin 60° = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{\sqrt{3}}{2}[/tex]
cos 60° = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{1}{2}[/tex]
tan 60° = [tex]\frac{BC}{AC}[/tex] = [tex]\sqrt{3}[/tex]
cot 60° = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{1}{\sqrt{3}}[/tex]
What is Trigonometry?
Trigonometry shows the relationship between sides and angles of a right angled triangle.
There are six trigonometrical functions. They are
[tex]sin \theta, cos \theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]
[tex]sin\theta = \frac{perpendicular}{hypotenuse}[/tex]
[tex]cos\theta = \frac{base}{hypotenuse}[/tex]
[tex]tan\theta = \frac{perpendicular}{base}[/tex]
[tex]cot\theta = \frac{base}{perpendicular}[/tex]
[tex]sec\theta = \frac{hypotenuse}{base}[/tex]
[tex]cosec\theta = \frac{hypotenuse}{perpendicular}[/tex]
Trigonometry is a very important tool in mathematics.
Here, [tex]\Delta ACB[/tex] is a right angled triangle whose base is AC, Perpendicular is BC and hypotenuse is AB
By using Trigonometry,
sin 60° = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{\sqrt{3}}{2}[/tex]
cos 60° = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{1}{2}[/tex]
tan 60° = [tex]\frac{BC}{AC}[/tex] = [tex]\sqrt{3}[/tex]
cot 60° = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{1}{\sqrt{3}}[/tex]
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