Answer:
30 cm²
Step-by-step explanation:
Formula : \(Area = \frac{hb}{2}\)
I have got 2/3 marks, what am I missing to get 3/3?
Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. He leaves it in the account for six months. Estimate how much interest he earns.
Answer: $50.63 --- Interest
Step-by-step explanation:
Step 1
Using the formulae
A = P(1 + r/n)^nt
Where
A = principal + interest Amount
P = Principal Amount = $1000
t = Time in years= 6months = 0.5 years
n = number of compounding periods= quarterly =4
Step 2
6 months = 6/12 = 0.5 years
Rate = 10 % = 0.1
A = P(1 + r/n)^nt
= 1000 ( 1 + 0.1/4)^(4 x 0.5)
=1000(1 +0.025)^2
= 1000(1.025)^2
= 1000 x 1.050625
A= $1,050.625
but A = principal + interest Amount
Interest = A- Principal=$1,050.625-$1,000
=$50.625
The equation -2x + 2y = -8 and the graph below each represent linear functions.
Which has the greater slope, and what is its value?
-2x + 2y = -8
A. the graph
slope = 0.5
B. the equation
slope = 1
C. the graph
slope = 1
D. the equation
slope = -1
Answer:
The answer is B
Step-by-step explanation:
victor, a student at um, conducted a similar survey among undergraduate students at the university of michigan using a random sample of the same size from the study conducted at cornell university and obtained the same sample proportion. the undergraduate student body at the university of michigan is almost twice as large as the undergraduate student body at cornell university. victor is concerned that the computation of the margin of error for a confidence interval for the population proportion will be affected by the population size. do you agree with victor's concern?
Yes, Victor needs to have similar portion of the population in the sample.
What is population size?
The number of objects inside a geographical area that has been arbitrary assigned as the population size.
In a fair, unbiased poll
Population proportion plus random error equals sample proportion.
According to the Normal Approximation, the standard deviation of the distribution of these random mistakes across all feasible samples is
\(\sqrt{\frac{\text{Population proportion}(1-\text{Population proportion})}{n}}\)
The sample estimate's variance from the actual population value is known as the random error. Numerous alternative summaries, such as sample averages or discrepancies between two sample proportions or averages, are likewise consistent with the observation that random mistakes follow the normal curve.
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Help with this plz?
Topic (Similarity)
Answer:
MATH
Step-by-step explanation:
perimeter of a ground is 6m. Find the cost of fencing it at the rate of rs 250per meter
Answer:
to find the rate of fencing, you should find the perimeter of the rectangle.
2(l+b)
2(155+125)
2*180
360m
cost of fencing = 360*10
= Rs 3600
now to find the cost of fielding, find the area
(l*b)
155*125
19375 square mtr
cost of fielding = 19375*15
= Rs 290625
Step-by-step explanation:
I need help with 17, 18,19,20
Answer:
ITS BLURRY SORRY CAPS LOCK
Step-by-step explanation:
What does it mean to say that a data point has a residual of -1?
A. The point lies 1 unit above the regression line.
B. The point lies directly on the regression line.
C. The point lies 1 unit below the regression line.
O D. The predicted value for that point is -1.
I'm sorry if it's wrong but i think it's C.
Answer:
C. The point lies 1 unit below the regression line.
Step-by-step explanation:
A residual is calculated by doing the true value minus the predicted value. For instance, if a point's true value is 5, but the predicted value is 3, the residual of the point will be 5 - 3 = 2.
The regression line is the line of predicted values. So, if a data point has a residual of -1, that means that the predicted value overpredicted the point's value. So, the point will lie C. 1 unit below the regression line.
Hope this helps!
please help assaapsapspaspaspapspaspapappspappspapsapsapsapsp
Answer:
I want to say C
Figure jkl is simular to fugure jkl :)
During the holiday season Andrew has to help his mother wrap the candy that she makes. The number of pieces that she can wrap (y) can be described as
y = 73. Andrew takes a lot more breaks to eat pieces of the candy, so he wraps at a rate of y = 3x + 8.
At how many minutes (s) have Andrew and his mother wrapped the same number of candy pieces?
2 minutes
O 3 minutes
0 4 minutes
t
8 minutes
Andrew and his mother will have wrapped the same number of candy pieces in 21.6 minutes.
We need to find out how many minutes (s) Andrew and his mother wrapped the same number of candy pieces.
Given data:
The number of pieces that Andrew’s mother can wrap is y = 73.
Andrew wraps at a rate of y = 3x + 8.
To find the number of minutes (s) at which Andrew and his mother have wrapped the same number of candy pieces, we need to equate both equations and then find the value of x the equation is given as,
73 = 3x + 8
65 = 3x
x = 21.6
Therefore, Andrew and his mother will have wrapped the same number of candy pieces after 21.6 minutes.
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When you use your Taylor polynomial to estimate the probability that a value lies within two standard deviations of the mean, what do you get
When using a Taylor polynomial to estimate the probability that a value lies within two standard deviations of the mean, the result will depend on the specific function used to create the polynomial. However, in general, a Taylor polynomial can provide a good approximation of the function within a certain interval.
1. Identify the function: The probability distribution function for a normal distribution is given by the function f(x) = (1/σ√(2π)) * e^(-(x-μ)^2 / 2σ^2), where μ is the mean and σ is the standard deviation.
2. Determine the interval: Two standard deviations from the mean are represented by the interval [μ - 2σ, μ + 2σ].
3. Apply Taylor polynomial: Approximate f(x) using a Taylor polynomial centered at μ. The higher the degree of the polynomial, the more accurate the approximation.
4. Calculate probability: Integrate the Taylor polynomial over the interval [μ - 2σ, μ + 2σ] to estimate the probability.
5. Interpret the result: The estimated probability represents the likelihood that a value lies within two standard deviations of the mean in a normal distribution.
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state the slope of the line perpendicular to the line -2x+5y=12
Answer:
- 5/2
Step-by-step explanation:
Arrange this line equation into y = mx + b form m = slope
y = 2/5x + 12/5
then perpindicular line = - 1/m = - 1/ (2/5) = - 5/2
find a function whose square plus the square of its derivative is 1.
A function that satisfies the condition of having its square plus the square of its derivative equal to 1 is given by f(x) = sin(x).
The function f(x) = sin(x) has the property that its square, sin^2(x), is equal to 1 when added to the square of its derivative, \($\frac{d}{dx}\sin(x))^2 = \cos^2(x)$\).
This can be seen by directly evaluating the expression: \(sin^{2}(x) + cos^{2}(x) = 1\), which is a fundamental identity in trigonometry.
The sine function is periodic with a period of 2π, and its derivative, cosine function, also has the same period. This means that for any x, the function sin(x) and its derivative cos(x) will satisfy the given condition.
Geometrically, the sine function represents the y-coordinate of a point on the unit circle as the corresponding angle is varied. Its derivative, the cosine function, represents the rate of change of this y-coordinate with respect to the angle. The squares of the sine and cosine functions add up to 1, which is the square of the radius of the unit circle. This property is fundamental in trigonometry.
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The Central Limit Theorem is important in Statistics because it allows us to use the normal distribution to make inferences concerning the population mean: O provided that the population from which the sample was drawn is normal and the sample size is reasonably large. O provided that the population size is reasonably large (whether the population distribution is known or not). O provided that the sample size is reasonably large (for any population). o provided that the population from which the sample was drawn is normal.
The correct statement is: provided that the sample size is reasonably large (for any population).
Why the statement provided that the sample size is reasonably large is correct?The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.
These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).
Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.
This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters
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state flags if we randomly select two state flags, with replacement, what is the probability that exactly one will have other characteristics?
The probability that exactly one will have other characteristics is 2 × (11/28 × 17/28). The correct answer is option e.
To calculate the probability that exactly one state flag will have other characteristics, we can break it down into two cases:
The first flag has other characteristics and the second flag does not.
The first flag does not have other characteristics and the second flag does.
The probability of the first case is (11/28) × (17/28), since the probability of selecting a flag with other characteristics on the first draw is 11/28, and the probability of selecting a flag without other characteristics on the second draw is 17/28 (since we are drawing with replacement, the probabilities remain the same for both draws).
Similarly, the probability of the second case is (17/28) × (11/28).
So the total probability is the sum of these two probabilities, which is:
(11/28) × (17/28) + (17/28) × (11/28) = 2 × (11/28) × (17/28) = 0.335 (rounded to three decimal places)
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The question is -
If we randomly select two state flags, with replacements, what is the probability that exactly one will have other characteristics?
a. 1/11 × 1/11
b. 2 × (11/28 × 17/27)
c. 12/28 + 17/28
d. 2 × 11/28
e. 2 × (11/28 × 17/28)
f. 11/28 × 17/28
a grain silo consists of a cylindrical main section and a hemispherical roof of the total volume of the silo (including the part inside the roof section) is 10,000 find.the.cylindrical part is 30 ft tall, what is the radius of the silo, correct to the nearest tenth of a foot?
The radius of the silo which is in the shape of cylinders and spheres , correct to the nearest tenth of a foot, is approximately 10.3 feet.
To find the radius of the silo, we need to determine the radius of the cylindrical section.
The volume of the cylindrical section can be calculated using the formula:
\(V_{cylinder} = \pi * r^2 * h\)
where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.
Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:
\(V_{cylinder} = \pi * r^2 * 30\)
To find the radius, we can rearrange the formula:
\(r^2 = V_{cylinder} / (\pi * 30)\)
Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:
\(r^2 = 10,000 / (\pi * 30)\)
Simplifying further:
\(r^2 = 106.103\)
Taking the square root of both sides, we find:
\(r = \sqrt{106.103} = 10.3\)
Therefore, the radius of the silo which is in the shape of cylinders and spheres , correct to the nearest tenth of a foot, is approximately 10.3 feet.
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Find m of MLJ
See photo below
Answer:
45°---------------------
The angle formed by a tangent and secant is half the difference of the intercepted arcs:
12x - 3 = (175 - 21x - 1)/224x - 6 = 174 - 21x24x + 21x = 174 + 645x = 180x = 4Find the measure of ∠MLJ by substituting 4 for x in the angle measure:
m∠MLJ = 12*4 - 3 = 48 - 3 = 45In the equation (x - 7)^2 = 25, if x equals 12, is there another solution for x?
(It's confusing but it means is there any other possible answer for x except 12.)
Answerh
Step-by-step explanation:
huh
z = 73i - 32
What is the real part of z ?
What is the imaginary part of z?
Answer:
real: -32imaginary: 73Step-by-step explanation:
The real part is everything that does not multiply i. The imaginary part is everything that does multiply i.
Conventionally, the real part is written first:
z = -32 +73i
Re(z) = -32
Im(z) = 73
PLZ HELP ME ANSWER IN SCIENTIFIC NOTATION FOR BOTH QUESTIONS WITH STEPS DUE BY 12PM
Answer:
86868600 for C and 416.88 for the D
complete the square y = x^2 - 4x - 5
The cοmplete the square fοrm οf the equatiοn y = x² - 4x - 5 is y = (x - 2)² - 9.
What is cοmpleting square methοd?Cοmpleting the square is a methοd used tο rewrite a quadratic expressiοn in the fοrm οf a perfect square trinοmial. This methοd is οften used in algebra tο sοlve quadratic equatiοns, graph quadratic functiοns, and find the vertex οf a parabοla.
Tο cοmplete the square fοr a quadratic expressiοn in the fοrm οf ax² + bx + c, we fοllοw these steps:
Grοup the x terms tοgether and leave the cοnstant term οn the οther side οf the equatiοn, if necessary.
Take half οf the cοefficient οf the x term, square it, and add it tο bοth sides οf the equatiοn.
Factοr the perfect square trinοmial that results frοm the x terms.
Simplify the expressiοn οn the οther side οf the equatiοn, if necessary.
Write the equatiοn in the fοrm οf a perfect square trinοmial, and sοlve fοr x if necessary.
Begin by writing the equatiοn in the fοrm y = a(x - h)² + k. We will use the methοd οf cοmpleting the square tο find the values οf h and k.
y = x² - 4x - 5
y = (x² - 4x + ____) - ____ - 5
Tο determine the value that needs tο be added inside the parentheses tο create a perfect square trinοmial, take half οf the cοefficient οf x, square it, and add it tο bοth sides οf the equatiοn:
y = (x² - 4x + 4) - 4 - 5
Nοte that (x - 2)² = x² - 4x + 4.
y = (x - 2)² - 9
The equatiοn is nοw in vertex fοrm, y = a(x - h)² + k, where the vertex is (h, k). The vertex is (2, -9), and the parabοla οpens upward since the cοefficient οf the x² term is pοsitive.
The cοmpleted square fοrm οf the equatiοn is y = (x - 2)² - 9.
Therefοre, the cοmplete the square fοrm οf the equatiοn y = x² - 4x - 5 is y = (x - 2)² - 9.
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A spatially flat universe contains a single component with equation of-state parameter w. In this universe, standard candles of luminosity L are distributed homogeneously in space. The number density of the standard candles is no at t to, and the standard candles are neither created nor destroyed.
In a spatially flat universe with a single component characterized by an equation of state parameter w, standard candles of luminosity L are uniformly distributed and do not undergo any creation or destruction.
In this scenario, a spatially flat universe implies that the curvature of space is zero. The equation of state parameter w determines the relationship between the pressure and energy density of the component. For example, w = 0 corresponds to non-relativistic matter, while w = 1/3 corresponds to relativistic matter (such as photons).
The standard candles, which have a fixed luminosity L, are uniformly spread throughout space. This means that their number density remains constant over time, indicating that they neither appear nor disappear. The initial number density of these standard candles is given by no at a specific initial time to.
Understanding the distribution and behavior of standard candles in the universe can provide valuable information for cosmological studies. By measuring the observed luminosity of these standard candles, astronomers can infer their distances. This, in turn, helps in studying the expansion rate of the universe and the nature of the dark energy component, which is often associated with an equation of state parameter w close to -1.
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ted's company has recieved an order to print 10^6 pages. ted's company has 100 machines , each of which can print 10^4 pages a day. ted's company can print the 10^6 pages in blank.
in exponent form, this number of days can be represented as blank
Answer:
10^0=1 day
Step-by-step explanation:
10^4 x 100=10^4 x 10²
=10^(4+2)
=10^6
Then:
10^6/10^6=10^(6-6)=10^0=1 day
Answer:
1 day, 10^0
Step-by-step explanation:
PLATO correct
how many cookie dough chunks are in the average pint of chocolate chip cookie dough?
Answer: 18-22
Step-by-step explanation:
What is 4/5 divided by 1/6
Answer:
\( \frac{4}{5} \div \frac{1}{6} \\ = \frac{4}{5} \times \frac{6}{1} \\ = \frac{24}{5} \)
HOPE THIS HELPS!
24/5 is the answer.
I hope it will help you , in getting your answer ..
if you want to round a number within an arithmetic expression, which function should you use?
If you want to round a number within an arithmetic expression, you should use the ROUND function.
The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.
The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.
Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.
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Which equation represents the line that passes through points B and C on the graph
Does the senies ∑n=1[infinity]n+n+9(−1)n converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The senes converges absolutely because the limit used in the Root Test is B. The senies converges conditionally per the Alternating Series Test and the integral Test because ∫1[infinity]f(x)dx does not exist. C. The series diverges because the limit used in the nth-Term Test does not exist. D. The series diverges per the Comparison Test with ∑1[infinity]π1 E. The series converges absolutely because the limit used in the Ratio Test is F. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is not less than or equal to 1
The given series is ∑n=1[infinity]n+n+9(−1)n. The correct answer is option B: The series converges conditionally per the Alternating Series Test and the integral Test because ∫1[infinity]f(x)dx does not exist.
To determine if it converges absolutely, converges conditionally, or diverges, we must first check the convergence of the series using the alternating series test. Alternating series test: If a series has the form ∑(−1)n−1bn, where bn>0, then the series converges if the following conditions hold:1. (bn) is a decreasing sequence.2. limn→∞bn=0. Here, bn=n/(n + 9). We check the conditions for the alternating series test:1. (bn) is a decreasing sequence. To prove this, we can use the quotient rule:
n/(n + 9) / (n + 1)/(n + 10)=n(n + 10)/(n + 9)(n + 1)
=n2+10n/n2+19n+90<1, for n≥1.
So the sequence (bn) is decreasing.2. limn→∞bn=0. To prove this, we can use the limit rule: limn→∞n/(n + 9)=1. We have verified the conditions of the alternating series test, so the series converges conditionally. The correct answer is option B: The series converges conditionally per the Alternating Series Test and the integral Test because ∫1[infinity]f(x)dx does not exist.
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Which of the following statements best describes the function of the logic variable X?
A. X is a variable whose value is 1 or 0.
B. X is a constant value in the indeterminate range of logic values.
C. X is a variable whose value is always 1.
D. X is a variable whose value is always 0.
The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.
Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.
In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.
By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.
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Oliver started his banking account with $100 and is increasing the account $20 per month. which type of function does this situation model?
Answer:
an arithmetic sequence or a linear function.
Step-by-step explanation:
Arithmetic:he has $100 and ADDS $20 each month. in arithmetic sequences we have a value for a sub 1 in this case 100, then add the rate of change or in this case 20 times the months or d. Since this function follows the rules this is an arithmetic sequence.
Linear function:
y=mx+c
let y be the amount of money he has in his banking account,
let x be months.
let m be 20 because that is what he adds per month or per x.
let c be the starting value or 100.
y=20x+100