Answer:
sin A = \(\frac{5}{13}\)
Step-by-step explanation:
sin A = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{5}{13}\)
What is a closed line of credit? a. a line of credit with a set maximum credit limit. b. a line of credit with no interest rate. c. a line of credit with a fixed total amount. d. a line of credit with a legally mandated repayment schedule. please select the best answer from the choices provided a b c d
Answer:
c
Step-by-step explanation:
a line of credit with a fixed total amount.
The closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.
What is a line of credit?On the bases of the requirement, a person or firm takes the open or closed line of credit.
Open Line of Credit-This is a type of short period of loan in which many credit and deposit can be make, for example credit cards.Closed Line of Credit-This type of credit has to be repaid with total amount. The period of such credit is longer than the open line of credit. The deposits is make single time with fixed total amount.Thus, the closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.
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Question text Level and Trend in a Time Series is estimated by- Select one: a. Moving Average b. Simulation method c. Regression analysis d. Covariance analysis e. Correlation Analysis
(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.
Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.
Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.
The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.
While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.
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A school district has 1, 200 students entering the first grade. Each child is administered a standardized intelligence test that is known to have a mean of 100 and a standard deviation of 15. State guidelines require that children scoring either above 125 or below 75 be enrolled in special enrichment programs. Assuming that the school district's entering first graders are representative of the overall population of children who have been administered this intelligence test, how many children will the school district expect to enroll in the enrichment programs for this group of first graders?
The school district expects to enroll 114 children in the enrichment programs for this group of first graders.
Standardized intelligence tests are normally distributed, and scores can be converted to standard deviation units with z-scores. A z-score is the number of standard deviations that a data point is from the mean of its distribution. To answer the question of how many children will the school district expect to enroll in the enrichment programs for this group of first graders, we need to determine the number of students with scores greater than 125 or less than 75.
The z-score for a raw score x can be calculated as:
\(z = (x - μ) / σ\)
where μ is the mean and σ is the standard deviation.
For x = 125, the z-score is:
z = (125 - 100) / 15 = 1.67
For x = 75, the z-score is:
z = (75 - 100) / 15 = -1.67
Using a standard normal table, we can find the proportion of scores above 125 or below 75 in a normal distribution with mean 100 and standard deviation 15. The proportion of scores above 125 is:
P(z > 1.67) = 0.0475
The proportion of scores below 75 is:
P(z < -1.67) = 0.0475
The total proportion of students who score above 125 or below 75 is:
P(z > 1.67 or z < -1.67)
= P(z > 1.67) + P(z < -1.67)
= 0.0475 + 0.0475
= 0.095
The expected number of students who score above 125 or below 75 is:
Expected number = proportion x total number of students
= 0.095 x 1,200
= 114
Therefore, the school district expects to enroll 114 children in the enrichment programs for this group of first graders.
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Please help me..................................................................................
Answer:
The given image is a graph of an exponential function. The graph is in the form of y = ab^x, where a is the initial value (y-intercept), b is the base (growth or decay factor), and x is the exponent (input value).
In this particular graph, the function appears to be a decay function since the value of the function is decreasing as x increases. We can also see that the initial value of the function is 24, which means that when x = 0, y = 24. We can also see that the base of the function is less than 1 (approximately 0.8), which tells us that the function is decreasing at a constant rate.
To write the exponential function that represents this graph, we can use the general form of the function y = ab^x and substitute the known values:
y = 24(0.8)^x
Therefore, the exponential function that represents the given graph is y = 24(0.8)^x.
Image 2.
The given image is a graph of an exponential function. The graph is in the form of y = ab^x, where a is the initial value (y-intercept), b is the base (growth or decay factor), and x is the exponent (input value).
In this particular graph, the function appears to be a growth function since the value of the function is increasing as x increases. We can also see that the initial value of the function is 5, which means that when x = 0, y = 5. We can also see that the base of the function is greater than 1 (approximately 1.2), which tells us that the function is increasing at a constant rate.
To write the exponential function that represents this graph, we can use the general form of the function y = ab^x and substitute the known values:
y = 5(1.2)^x
Therefore, the exponential function that represents the given graph is y = 5(1.2)^x.
What percent of the youths surveyed prefer reading electronic books? Round your answer to the nearest tenth of a percent.
Answer: 54% of youths surveyed prefer reading electronic books.
Step-by-step explanation: 74 divided by 100 = 0.74. Divide 40 by 0.74 and you get 54.05%. Round that to 54% and you have your answer.
plss tell me the ans
Answer:
I dont know if this is right but I think its 125/343
A fish tank holds 25 gallons of water. How many quarts of water does the fish tank hold?
Answer:
100 gallons
Step-by-step explanation:
so 1 gallon equals 4quarts multiply that by 25 you get 100 so there you go
Plz help asap you might get the brilliant
Answer:
In step 2
Step-by-step explanation:
In order to balance both sides, you first have to add 3c to both sides, but instead, it is subtracted in step 2, skewing the entire rest of the problem.
Answer:
Instead of subtracting 6, you should add 6 to both sides.
Step-by-step explanation:
nice levi pfp btw :)
exercise 8.7. number of hearts. recall that a standard deck of 52 playing cards has 4 suits (hearts, spades, clubs, and diamonds) and 13 cards in each suit (labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, a). the cards are shuffled. you are dealt the first 5 cards off the top of the deck. let x be the number of hearts you get. a. what are the possible values of x? b. what is the mass of x? c. make a plot of the probability mass function. d. what is the cdf of x? e. make a plot of the cdf.
Given statement solution is :- The mass of x refers to the probability mass function (PMF) values for each value of x.
Plot of the probability mass function (PMF):
The PMF plot represents the probabilities of the different values of x.
css
Copy code
x | P(X=x)
---|--------
0 | 0.362
1 | 0.442
2 | 0.153
3 | 0.037
4 | 0.006
5 | 0.0005
The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.
a. The possible values of x are 0, 1, 2, 3, 4, and 5. This represents the number of hearts you can get from the 5 cards dealt.
b. The mass of x refers to the probability mass function (PMF) values for each value of x. We can calculate the mass as follows:
P(x = 0) = (39/52) * (38/51) * (37/50) * (36/49) * (35/48)
P(x = 1) = 5 * (13/52) * (39/51) * (38/50) * (37/49) * (36/48)
P(x = 2) = 10 * (13/52) * (12/51) * (39/50) * (38/49) * (37/48)
P(x = 3) = 10 * (13/52) * (12/51) * (11/50) * (39/49) * (38/48)
P(x = 4) = 5 * (13/52) * (12/51) * (11/50) * (10/49) * (39/48)
P(x = 5) = (13/52) * (12/51) * (11/50) * (10/49) * (9/48)
Note: The coefficients in front of each probability correspond to the different ways of selecting x hearts from the available hearts in the deck.
c. Plot of the probability mass function (PMF):
The PMF plot represents the probabilities of the different values of x.
css
Copy code
x | P(X=x)
---|--------
0 | 0.362
1 | 0.442
2 | 0.153
3 | 0.037
4 | 0.006
5 | 0.0005
d. The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.
The CDF of x can be calculated by summing up the probabilities of all the values less than or equal to x.
CDF(x = 0) = P(x = 0)
CDF(x = 1) = P(x = 0) + P(x = 1)
CDF(x = 2) = P(x = 0) + P(x = 1) + P(x = 2)
CDF(x = 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)
CDF(x = 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)
CDF(x = 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)
e. Plot of the cumulative distribution function (CDF):
The CDF plot represents the cumulative probabilities for the different values of x.
scss
Copy code
x | CDF(X<=x)
---|-----------
0 | 0.362
1 | 0.804
2 | 0.957
3 | 0.994
4 | 1.000
5 | 1.000
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A piece of ribbon is x inches long. Find the total length of 7 equal pieces of ribbon. Express the answer in terms of x.
Answer:
7x
or 7*x
Step-by-step explanation:
The circle below has a radius of 3 units . Find the area of the circle. Use 3.14 for π.
A=πr2=π×r×r
i well give u 10 points
Answer:
28.26 units
Step-by-step explanation:
We know the radius of the circle is 3 units, so we'll end up plugging that into the formula.
A = π(3^2) or A = π * 3 * 3
When you substitute pi for 3.14, you'll end up getting 28.26 units.
Hope this helped! :)
Simplify this question
8. F²* F by the power of 4
A.(2F) by the power of 8
B.(2F) by the power of 6
C F by the power 8
D. F by the power of 6
The expression is simplified to F⁸. Option C
How to determine the valueTo determine the value, we have that;
Index forms are described as forms used in the representation of numbers that are too small or large.
Other names for index forms are scientific notation and standard forms.
From the information given, we have that
F² by the power of 4
This is represented as;
(F²)⁴
To simply the index form, we need to expand the bracket by multiplying the exponential values, we get;
F⁸
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Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?
Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?
we know that
2%=2/100=0.02
so
To find out the amount of interest, multiply the total amount by the percentage in decimal form
(67,696)*0.02
=$1,353.92Simplify:
2341 base 5- 3124 base 5 + 2142 base 5
Answer:
o sry I don't no iamm really sry for that
The answer to the question please
Answer:
2/9
Step-by-step explanation:
Answer:2/9
Step-by-step explanation:
Tamiqua's pay increased from $3,200 per month to $3,296. What is the percentage of her raise
Hint: Find the amount of her raise first.
Answer:
3%
Step-by-step explanation:
the raise was $96; 96/3200; .03*100
Estimate the length of a sheet of notebook paper. A. 24 mm B. 2.4 cm C. 24 cm D. 2.4 mm
Write a function that represents the balance y (in dollars) after t years.
$3500 deposit that earns 9.2% annual interest compounded annually
y =
Rs 4505.96 money will be in the account after 2 years .
Theorem proof?
Thanks
Triangle AXC is congruent to triangle AYB by the SAS Congruence Criteria.
Describe Congruency of triangle?In geometry, two triangles are said to be congruent if they have the same shape and size. More specifically, two triangles are congruent if all three sides and all three angles of one triangle are equal to the corresponding sides and angles of the other triangle. When two triangles are congruent, they can be superimposed on top of each other, and all corresponding parts of the triangles will match exactly.
There are several ways to prove that two triangles are congruent, including using the side-angle-side (SAS) theorem, the angle-side-angle (ASA) theorem, the side-side-side (SSS) theorem, and the hypotenuse-leg (HL) theorem.
Given that |AB|=|CD| and triangle ABC is isosceles.
We need to prove that triangle AXC = triangle AYB.
To do so, we will use the Side-Angle-Side (SAS) Congruence Criteria.
AC = BC (Given)
∠ACX = ∠BCY (Vertical Angles)
∠CAX = ∠CBY (Base Angles of Isosceles Triangle)
Therefore, triangle AXC is congruent to triangle AYB by the SAS Congruence Criteria.
Hence, proved.
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change 4x - 5y = 10 into slope intercept form and graph
Answer:
Slope intercept form: y = 4/5x - 2
Step-by-step explanation:
(subtract 4x from both sides) -5y = -4x + 10
(divide everything by -5) y = 4/5x - 2
To graph, place a point at (0,-2), and then travel up 4 and over right 5 (or down 4 and to the left 5) to place the next point, then draw a line through the points
Suppose X = 6. If X changes to 27, what percentage change is this? Please round your answer to 2 decimal places.
The percentage change from 6 to 27 is approximately 350.00%.
To calculate the percentage change, we can use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
Given:
Old Value (X) = 6
New Value = 27
Using the formula, we have:
Percentage Change = ((27 - 6) / 6) * 100
Calculating this expression, we find:
Percentage Change ≈ 350.00
Rounding the percentage change to two decimal places, we have:
Percentage Change ≈ 350.00%
Therefore, the percentage change from 6 to 27 is approximately 350.00%.
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The percentage change from 6 to 27 is approximately 350.00%.
To calculate the percentage change, we can use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
We have:
Old Value (X) = 6
New Value = 27
Using the formula, we have:
Percentage Change = ((27 - 6) / 6) * 100
Calculating this expression, we find:
Percentage Change ≈ 350.00
Rounding the percentage change to two decimal places, we have:
Percentage Change ≈ 350.00%
Therefore, the percentage change from 6 to 27 is approximately 350.00%.
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Mr. Baker wants to divide his class into smaller, equal-sized groups of students.However, he finds that his class cannot be divided evenly into any size group except for individual groups of 1 is the number of its class prime or compocite?
Answer:
Prime. Prime numbers can only be divided by the whole number, or one.
The number of students in class were prime.
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Mr. Baker wants to divide his class into smaller, equal-sized groups of students. He can split them by using division method.
Class cannot be divided evenly into any size group except for individual groups of 1. We know that A division is a process of splitting a specific amount into equal parts.
He is unable to split the class students equally.
It means the number of students in class were prime numbers.
A prime number cannot be divided by any other number except itself.
If the number of students are composite then it can be splitted to equal groups.
Hence the number of students in class were prime.
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A subset h of a vector space v is a subspace of v if the zero vector is in h.
a. True
b. False
Answer: TRUE
SUIIIIIIIII
The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.
What is the subspace of a vector?A subspace is a vector space that is also encompassed within another vector space.
So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.
Three components must be demonstrated to prove that a subset is a subspace:
Additionally, demonstrate that it is closed.
Show that it is closed when scalar multiplication is used.
Show that vector 0 is a part of the subset.
As it is stated in the question;
h represents a subset of the vector space v.
The zero vector is contained in h.
This implies that h must be in the v subspace.
Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.
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A numerical pass code is required to open a car door. The pass code is five digits long and uses the digits 0-9.
Numbers may be repeated in the pass code. How many different pass codes exist?
3,125
10.000
59,049
100,000
Answer:
100000 pass codes
Step-by-step explanation:
the pass code form is: abcde
a: 10 numbers to choose
b: 10 numbers
c: 10 numbers
d: 10 numbers
e: 10 numbers
so there are 10^5 = 100000 pass codes exist
Answer:
D - 100,000
Step-by-step explanation:
Just took it on edg
To study the mean ad views of all customers in his store, Kenneth obtains a list of the customers and collects data from every 6th person on the list. Which type of sampling is used
The type of sampling used in this scenario is systematic sampling.
Systematic sampling involves selecting every nth individual from a population, where n is a constant interval. In this case, Kenneth collects data from every 6th person on the list, which indicates a systematic sampling approach.
what is interval?
In the context of statistics, an interval refers to a range of values between two points. It represents a specific segment or portion of a numerical scale.
Intervals are commonly used to describe the range of values within which a particular statistic or parameter is expected to lie. For example, a confidence interval provides an estimate of the range within which a population parameter, such as a mean or proportion, is likely to fall.
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PLEASE I NEED THE ANSWER IN 5 MINUTES ITS FOR HOMEWORK AND THE TEACHER IS REALLY STIRCT !!!!!
John checked his answer and found that it was incorrect. John's work is below. What did he do incorrectly?
h + 10 = 25
h + 10 + 10 = 25 + 10
h = 35
Answer: yes, jake is incorrect. H-15
Step-by-step explanation:
H+10=25
-10=-10
H=15
Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.
What are Alternate exterior angles?When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.
Firstly, ∠1 and ∠7 are alternate exterior angles as shown in the image, now to prove if these two angles will be congruent we can use the below proof.
First Method:
∠1 + ∠2 = 180° {Supplementary angles because both lies on the line q}
∠2 = (180° - ∠1)
Similarly, ∠2 = ∠6 = (180° - ∠1), corresponding angles are equal,
∠6 + ∠7 = 180° {Supplementary angles because both lies on the line r}
∠7 = 180° - ∠6
∠7 = 180° - (180° - ∠1)
∠7 = 180° - 180° + ∠1
∠7 = ∠1
OR
Second Method:
∠1 = ∠3 {Vertical angles formed by intersecting lines q and r}
∠3 = ∠5 {Alternate Interior angles}
∠5 = ∠7 {Vertical angles formed by intersecting lines s and r}
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Claire Reagan and Anthony deliver newspapers in the neighborhoods clear deliver 79 papers a day Reagan delivers 2490 papers a month Anthony delivers 616 papers a week how many do they deliver together in a year
Answer:
90,747
Step-by-step explanation:
Clair delivery=79 per day
Total delivery per year=79×365 days
=28,835
Reagan delivery=2490 per month
Total delivery per year=2490×12 months
=29,880
Anthony delivery= 616 per week
Total delivery per year =616×52 weeks
=32,032
Total delivery altogether in a year=28,835+29,880+32,032
=90,747
Answer:
Step-by-step explanation:
Clair delivers 79 papers a day.
Assuming that there are 365 days in a year, it means that the number of newspapers that Clair delivers in a year is
79 × 365 = 28835
Reagan delivers 2490 papers a month. There are 12 months in a year. it means that the number of newspapers that Reagan delivers in a year is
12 × 2490 =29880
Anthony delivers 616 papers a week. Assuming that there are 52 weeks in a year, it means that the number of newspapers that Anthony delivers in a year is
52 × 616 = 32032
Therefore, the number of newspapers that they deliver altogether in a year is
28835 + 29880 + 32032 = 90747
Find P(A) given that P(A) = 0.75
Answer:
P(A)=0.75
Step-by-step explanation:
I think you already have your answer. If this is all the information given in the problem, there is nothing more to do.
Use Divergence Theorem to evaluate the flux integral [SF_ds, where F = and S is the surface (closed) of the solid bounded by the cylinder x + y2 =9 and the planes 2 = 1 and 2 =2, orientated outward.
The required flux integral using the Divergence Theorem is 0.
The given surface is the closed surface bounded by the cylinder
x + y² = 9
and the planes
z = 1 and z = 2.
Using the Divergence Theorem, the flux integral over the given surface is equal to the triple integral of the divergence of the vector field F over the volume bounded by the given surface.
The divergence of the given vector field
F = is ∇ ·
F = 2x + 2y.
The given surface is a closed surface, hence it bounds a volume V bounded by the cylinder
x + y² = 9
and the planes z = 1 and z = 2.
The triple integral over the volume V of the divergence of the vector field F is given by,
∭V (2x + 2y) dV
= ∫z
=1 to 2
∫x=−√(9-y²) to √(9-y²)
∫y=-3 to 3 (2x + 2y) dy dx
dz= ∫z
=1 to 2
∫x=−√(9-y²) to √(9-y²) [2x(y=3) + 2x(y=-3) + 2
∫y=-3 to 3 y dy] dx
dz=∫z
=1 to 2
∫x=−√(9-y²) to √(9-y²) (12x) dx
dz= ∫z=1 to 2 (0)
dz= 0
Therefore, the value of the given flux integral is 0.
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