Answer:
you can use a calculator ( keep your money )
Step-by-step explanation:
september 11 a recent study asked u.s. adults to name 10 historic events that occurred in their lifetime that have had the greatest impact on the country. the most frequently chosen answer was the september 11, 2001, terrorist attacks, which was included by 76% of the 2025 randomly selected u.s. adults. construct and interpret a 95% confidence interval for the proportion of all u.s. adults who would include the 9/11 attacks on their list of 10 historic events.
We are 95% confident that the true population proportion is between 71.6% and 80.4%
The 95% confidence interval for the proportion of all U.S. grown people who would include those on their list of 10 historic events can be constructed using the formula:
\(CI = pi ± z*(SE)\)Where:
\(pi\) = sample proportion (76%)
SE = standard error (square root of \(pi(1-pi)/n\))
z = the critical value for a 95% confidence level (1.96)
n = sample size (2025)
Plugging in the values, we get:
\(SE =\sqrt{(0.76(1-0.76)/2025)} = 0.0240\\CI = 0.76 ± (1.96)(0.0240) = (0.716, 0.804)\)
The 95% confidence interval can be interpreted as follows: If we repeated this study many times, 95% of the intervals constructed would contain the true population proportion of all U.S. grown persons who would include on their list of 10 historic events. Based on this sample, we are 95% confident that the true population proportion is between 71.6% and 80.4%.
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help me i dont get this
Step-by-step explanation:
for the first one you keep the denominator the same you only have to add numerator
for the second page get the denominator to be the same and add the numerator
1/8+2/6 to get the same denominator for 1/8 multiply 3 by the denominator and numerator so it would equal to 3/24, to the same denominator 2/6 multiply by 4 so it would equal 8/24 so now u only have to edd them so it would equal 11/24Please explain how to do it too ill give brainliest
Answer:
x = 90
Step-by-step explanation:
The given diagram shows a circle with intersecting chords, KM and JL.
To find the value of x, we can use the Angles of Intersecting Chords Theorem.
According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.
Let the point of intersection of chords KM and JL be point P.
As the chords are straight lines, angle x° forms a linear pair with angle JPM.
Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.
From inspection of the given diagram:
\(m\overset\frown{JM}=30^{\circ}\)\(m\overset\frown{LK}=(2x - 30)^{\circ}\)Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):
\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)
As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:
\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)
Therefore, the value of x is 90, which means that the two chords intersect at right angles.
The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great. Mark this and return
The correct statement regarding whether a valid prediction can be made is given as follows:
Yes, the variation of the sample means is small.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.
The sample means for this problem are given as follows:
7, 4, 5, 8.
Hence the mean is given as follows:
(5 + 4 + 5 + 8)/4 = 5.5.
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Please help will mark Brainly
An automobile purchased for $28,000 is worth $2500 after 5 years. Assuming that the car's value depreciated steadily from year to year, what was it worth at the end of the third year?
The value 3 years after it was purchased is
Answer:
$3285.47
Step-by-step explanation:
We know the value decreased by a factor of 2500/28000 after 5 years.
This means the value decreased by a factor of (2500/28000)⅕ per year.
Therefore, after 3 years, the value is
\(28000(2500/28000)^{3/5} \approx 3285.47\)
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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Given the expression 1/4 - 3/5, select the addition problem that is equivalent to it.
Cones A and B both have volume 48bold pi cubic units, but have different dimensions. Cone A has radius 6 units and height 4 units. Find one possible radius and height for Cone B. Explain how you know Cone B has the same volume as Cone A.
Cone B does not have volume 48bold pi cubic units with these dimensions, but it does have the same volume as Cone A because they both have volume 48bold pi cubic units.
what is a cone?A cone, also known as a vertex, is a three-dimensional polygonal object with a flat base and a soft tapering apex. In a plane with no vertices, a cone is formed by connecting a story arc of lines, half-lines, but rather routes those are common to all focuses on the outpost. A cone is a muti structure with just a peaceful transition from a flat, round or, base towards the vertex and apex, which represents as the base's axis. A three-dimensional polygonal shape with only an upwardly flat curved surface is known as a cone.
Because Cone A has a volume of 48bold pi cubic units, we can use the volume of a cone formula to calculate its height:
Cone volume = 1/3 * base area * height
1/3 * pi * 62 * 4 = 48bold pi
48pi = 48bold pi
As a result, Cone A's height is 4 units. The radius is also 6 units, as we can see.
Cone volume = 1/3 * base area * height
\(1/3 * pi * r2 * h = 48\\144 = r^2 * h\\144 = 8^2 * 3\\144 = 192\)
Cone B does not have volume 48bold pi cubic units with these dimensions, but it does have the same volume as Cone A because they both have volume 48bold pi cubic units.
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Suppose that P dollars in principal is invested for t years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period.
=P$10,000, =t112 yr
(a) 1% interest
(b) 4% interest
(c) 4.5% interest
Answer: (a )$30648.54 (b)$882,346.73 (c) $1,544,700.15
Step-by-step explanation:
Formula: \(A=Pe^{rt}\) , where P= principal , r=rate of interest, t= time
Given : P= $10,000, t = 112 years
(a) r = 1% = 0.01
\(A=(10000)e^{0.01\times112}\)
\(A=(10000)e^{1.12}=10000(3.06485420)\approx 30648.54\)
Hence, Amount = $30,648.54
(b) r = 4% = 0.04
\(A=(10000)e^{0.04\times112}\)
\(A=(10000)e^{4.48}=10000(88.2346726757)\approx 882346.73\)
Hence, Amount = $882,346.73
(c) r = 4.5% = 0.045
\(A=(10000)e^{0.045\times112}\)
\(A=(10000)e^{5.04}=10000(154.470015026)\approx 1544700.15\)
Hence, Amount = $1,544,700.15
Which of the following points satisfies y < 3x - 6?
(2, -4)
(1,0)
The point (2,-4) satisfies y < 3x - 6
The population of a country increases at a rate proportional to the number of inhabitants. f is the population which doubles in 20 years, then the population will triple in approximately
The population of a country increases by 31 years approximately.
differentiation:
To differentiate is to identify the differences between things, and to discriminate among them. There are a number of simple rules which can be used to allow us to differentiate many functions easily.
If y = some function of x (in other words if y is equal to an expression containing numbers and x's), then the derivative of y (with respect to x) is written dy/dx, pronounced "dee y by dee x".
Let population =x, at time t years.
Given \(\frac{dx}{dt} \alpha X\)
⇒ \(\frac{dx}{dt}=Kx\)
where k is a constant of proportionality
or \(\frac{dx}{x} =Kdt\). Integrating, we get lnx=kt+lnc
⇒ \(\frac{x}{c}=e^{Kt}\) or \(X=ce^{kt}\)
If initially, i.e., when time t=0,x=x0 then xo=ce^0=c
\(X-Xoe^{kt}\)
Given X=2Xo t=20 then,
\(2Xo=Xoe^{20k} \\\\= > 2=e^{20k} \\\)
ln2=20k---(1)
To find t, when t triples X=3Xo
\(3Xo=Xoe^{kt} \\\\3=e^{kt}\)
ln3=kt(2)---(2)
Dividing equation (2) by (1) then
\(\frac{t}{20} =\frac{ln3}{ln2}\)
or
\(t=20*\frac{ln3}{ln2}\)
t=20*1.5849
t=31 years (approx)
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Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the dying time of four different types of paint.
One-way ANOVA can be used to determine whether all the four paints have the same drying time.
Use Excel to perform the one-way ANOVA.
Go to Data → Data Analysis → Anova: Single Factor
A dialog box will open.
Select the data.
Select "Grouping" as Columns.
Press OK.
The output is attached below.
The required values are as follows:
(1)
Sum of Squares of Treatment (Between Subjects):
SST = 330
(2)
Sum of Squares of Error (Within Subjects):
SSE = 692
(3)
Mean Squares Treatment (Between Subjects):
MST = 110
(4)
Mean Squares Error (Within Subjects):
MSE = 43.25
Can you please respond with the solution
Tan(x/2) = (1 + cosx)/sinx is equivalent to the trigonometric identity cscx
How to solve an equation?An equation is an expression that can be used to show the relationship between variables and numbers.
Trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent.
It is given as:
tanФ = sinФ/cosФ, cotФ = 1/tanФ = cosФ/sinФ, cosecФ = 1/sinФ and secФ = 1/cosФ
According to half angle formula:
tan(x/2) = (1 + cosx)/sinx
Hence:
tan(x/2) + cotx = [(1 - cosx)/sinx] + (cosx/sinx)
tan(x/2) + cotx = (1 - cosx + cosx)/sinx
= 1/sinx
= cscx
Therefore tan(x/2) = (1 + cosx)/sinx is equivalent to cscx
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Can anyone help? Will give Brainly + 18 pts
Answer:
-2 + × = y
Step-by-step explanation:
I think this is the answer because it's asking for an expression which this would be one.
Answer:
Step-by-step explanation:
x - y = 2 Add y to both sides
x - y + y = 2 + y Combine
x = 2 + y Subtract 2 from both sides.
x - 2 = 2 - 2 + y Switch the sides (left goes to right, right goes to left.)
y = x - 2
GUY HELP DID CLICK OF THE RIGHT ONE ?
Answer:
c
Step-by-step explanation:
it just is that's the right book
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound
B. If a chemist wants to make 728 milliliters of the drug, how many milliliters of compound A are needed?
? milliliters of compound A
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
What do you mean by compound?A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.
Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.
We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:
3 ml x 3 ml x 3 ml
-------- = ----------
728 ml total, 8 ml overall
If we cross-multiply, we obtain:
8(x) = 3(728)
To find x, we use the formula x = 3(728)/8 = 273
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
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273 milliliters of compound A are needed to make 728 milliliters of the drug.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:
a/b = c/d
To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.
Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:
3 : (3+5) or 3:8
This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.
To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:
3/8 = x/728
where x represents the amount of compound A needed.
To solve for x, we can cross-multiply:
8x = 3*728
8x = 2184
x = 273
Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.
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Keeping car tires inflated is essential to safe driving. For one type of car tire, the tire pressure in pounds per square inch (psi) is assumed to be approximately Normal, with a mean of 35 psi and a standard deviation of 2 psi. What percentage of tires are inflated to a pressure between 33.5 and 36 psi?
Find the z-table here.
22.55%
46.48%
53.52%
77.45%
Answer:
Step-by-step explanation:
The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:
Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ
where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35=−0.75
This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35=0.5
This means that 36 psi is 0.5 standard deviations above the mean.
Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.
Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649
This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.
Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%
The product of two rational numbers is 6.If one of them is 8,find the other number.
With steps also please.
Answer:
0.75
Step-by-step explanation:
The "product" is a result of multiplication, so we know we are multiplying eight with something to get six. 0.75 is a rational number, and when multiplied by eight, gives six.
So, 0.75 * 8 = 6
The other number is 0.75
HELP ASAP PLEASE :))))
The graph below shows the height, in feet, over time,
in seconds, of a student's rocket. Use the graph to
answer the questions below. What was the maximum
height the rocket reached?
Answer:
65 ft
Step-by-step explanation:
in 7 second the rocket went 65 ft
If the m42 = 40, what is the m45?
Answer:
m5 = 140
Step-by-step explanation:
m1 = m2
m1 = 40
m5 + m1 = 180
m5 + 40 = 180
m5 = 140
You pick a card at random. Without putting the first card back, you pick a second card at random.4567What is the probability of picking an even number and then picking an even number?Simplify your answer and write it as a fraction or whole number.
Given:
4 5 6 7
Given that you picked a card at random, without replacement, you then pick a second card at random.
Let's find the probability of picking an even number and then picking an even number.
Number of possible events = 4
Number of even numbers = 4, 6, ==> 2 even numbers.
Hence, to find the probability, we have:
\(\begin{gathered} P=\frac{2}{4}*\frac{1}{3} \\ \\ P=\frac{2*1}{4*3} \\ \\ P=\frac{2}{12}=\frac{1}{6} \end{gathered}\)Therefore, the probability of picking an even number and then picking an even number is 1/6.
ANSWER:
\(\frac{1}{6}\)verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.
A tennis player makes a successful first serve 49% of the time. If she serves 6 times, what is the probability that she gets exactly 3 first serves in? Assume that each serve is independent of the others.
Answer: the naswer is 0.154
Step-by-step explanation:
Complete the following statement.
The area under the curve associated with a z score of 3 is
Answer:
approximately 0.9987.
Step-by-step explanation:
The area under the curve associated with a z score represents the probability of a given event occurring. In a standard normal distribution, the area under the curve to the right of a z score of 3 is approximately 0.9987, or about 99.87%. This means that if you were to take a random sample from a population that follows a standard normal distribution, the probability of obtaining a score that is greater than or equal to 3 standard deviations from the mean is about 0.9987, or 99.87%.
Answer:
The area under the curve associated with a z score of 3 is 0. 1 altavistard altavistard It's a mistake to say that the area under the standard normal curve associated with a z score of 3 is 0. That area is actually slightly less than 1.
Step-by-step explanation:
hope this helps
mark me brainliest
6.03+4=10.03 what are the integers HURRY PLEASE thanks
Answer:
6.03, 4, 10.03
Step-by-step explanation:
The definition of an integer is an a whole number that's not a fraction. None of these numbers are fractions, therefore they are integers. The answer is all of them :)
suppose that the population of deer in a state is 16,000 and is growing 1%each year Predict population after 6 years
Answer:
16984
Step-by-step explanation:
Given
\(a = 16000\) ---- Initial
\(r = 1\%\) --- rate
Required
Determine the population after 6 years
To do this, we make use of the following exponential function
\(f(x) = a(r+1)^x\)
Substitute values for a and r
\(f(x) = 16000(1\%+1)^x\)
Express 1% and decimal
\(f(x) = 16000(0.01+1)^x\)
\(f(x) = 16000(1.01)^x\)
The population after 6 years is:
Substitute 6 for years
\(f(6) = 16000(1.01)^6\)
\(f(6) = 16984.3224096\)
\(f(6) = 16984\) -- approximated
HELP ME!! PLEASE 10 POINTSSS
Answer:
The answer is 47°
Step-by-step explanation:
90°- 43°
Answer:
x = 47
Step-by-step explanation:
subtract 43 from 90
Please help me with the answer ASAP
Answer:
105/5 i believe
Step-by-step explanation:
What is the Domain and range of (3,4)(5,7)(-3,8)(2,0)(1,3)
The domain is all x-values.
The range is all y-values.
Domain: 3, 5, -3, 2, 1
Range: 4, 7, 8, 0, 3
Best of Luck!