Answer:
23
Step-by-step explanation:
A and D are on the same line given D is 157 degrees.
A is also 157 degree since 180 degree is A to B simply
minus 180 by 157 = 23 degrees
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.
What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?
The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37
What is ratio?Ratio is a term that is used to compare two or more numbers.
Therefore,
At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,
The Junior population at 2:00 pm is as follows;
12 pm to 2pm is 120 minutesThen, 120 / 15 = 8
20 × 8 = 160 students
The junior student increased by 120 by 2pm.
The Senior population at 2:00 pm is as follows;
45 × 8 = 360 students
360 senior student left by 2 pm.
Therefore,
Junior student by 2pm = 700 + 160 = 860 students
Senior student by 2 pm = 110 - 360 = 740 students
The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37
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TD Ameritrade is a company that buys and sells stocks and bonds as well as providing its customers with advice on when to buy and when to sell. TD Ameritrade is an example of a _____, a type of nondepository financial institution.
TD Ameritrade is an example of a specialize in investment-related services and offer valuable expertise , a type of nondepository financial institution.
Non depository financial institutions are entities that provide financial services without engaging in traditional deposit-taking activities, such as accepting deposits from customers. Unlike traditional banks or depository institutions that accept deposits and provide loans, non depository financial institutions offer services related to investments, insurance, and other financial activities.
TD Ameritrade specifically operates as a non depository financial institution because it primarily offers brokerage services, allowing customers to buy and sell stocks and bonds. Additionally, the company provides investment advice and tools to assist customers in making informed decisions. However, TD Ameritrade does not accept deposits like a traditional bank.
By being a non depository financial institution, TD Ameritrade and similar entities have the advantage of specialization in specific financial services. They are not constrained by the regulations and requirements that come with being a depository institution, which allows them to focus on delivering tailored investment services to their customers.
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3RD TIME PLS I NEED THIS GRADE
3. A driver's path when diving off of a platform is given by h(t)=-5t^2+10t+20, where h(t) is the distance above water, in feet, and t is the time from the beginning of the dive, in seconds.
3a. How high is the diving platform?
3b. After how many seconds is the diver 25 feet above water?
3c. When does the diver enter the water?
Answer:
3a.=20ft 3b.=1 second 3c.=3.25seconds
Step-by-step explanation:
Hello, Courtney!
h(t)=-5t^2+10t+20
20 would be the height so 3.a would be 20ft
3b. 25=-5t^2+10t+20
-5t^2+10t-5 then divide by greatest factor the answer would 1 second
3c. 0=-5t^2+10t+20 divide by greatest factor and would get 3.25 and -1.25 but can't have negative so the answer is 3.25.
I hope this helps
best you know who!
b) Write down one more advantage or disadvantage for each of open and closed
questions.
C
stly cloudy
They produce a wide range of results
that can be hard to interpret
They allow people to respond
however they want
Advantage
Disadvantage
Open questions
A
с
They are quick and easy to answer
They stop people from giving
detailed answers
Closed questions
B
D
Aqsa labassum
ENG
UK
Answer
4x9
Open questions:
Advantage: They allow for in-depth and detailed answers which provies more comprehensive understanding of the respondent's perspective.Disadvantage: They may require more time and effort to answer which can be a deterrent for some people.Closed questions:
Advantage: They are precise and easy to answer which makes them ideal for gathering specific information quickly.Disadvantage: They may limit the scope of responses and prevent people from providing additional information or elaborating on their answers.What is difference between Open and Closed questions?Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.
Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.
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1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here
Answer:
933+x < 1500
Step-by-step explanation:
Let x be the next purchase
The first charge of 933 and the next purchase is less than 1500 dollars
933+x < 1500
Answer:
1500>933+c
Step-by-step explanation:
,............
Find the total surface area of the rectangular Prism. S = Ph + 2B
The total surface area of the rectangular prism is given by the formula S = 2LW + 2HL + 2HW.
To find the total surface area of a rectangular prism, we need to calculate the sum of the areas of all its faces.
A rectangular prism has six faces: a top face (base), a bottom face (base), and four lateral faces. Let's calculate the surface area step by step:
Calculate the area of the top and bottom faces (bases):
The area of a rectangle is given by the formula A = length × width.
Let's assume the length of the rectangular prism is L, and the width is W.
Area of the top face = L × W
Area of the bottom face = L × W
Calculate the areas of the four lateral faces:
The lateral faces are all rectangles, and their areas can be calculated using the same formula as above. Let's assume the height of the rectangular prism is H.
Area of the first lateral face = H × L
Area of the second lateral face = H × L
Area of the third lateral face = H × W
Area of the fourth lateral face = H × W
Calculate the total surface area:
The total surface area (S) of the rectangular prism is the sum of all the individual face areas.
S = Area of top face + Area of bottom face + Area of first lateral face + Area of second lateral face + Area of third lateral face + Area of fourth lateral face
S = L × W + L × W + H × L + H × L + H × W + H × W
Simplifying the equation:
S = 2LW + 2HL + 2HW
Therefore, the total surface area of the rectangular prism is given by the formula S = 2LW + 2HL + 2HW.
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HELP ASAP
write an expression to represent:
"the sum of a number b and 24"
Answer:
b+24
Step-by-step explanation:
Addition is one of the four fundamental mathematical operations. The given phrase can be written in the form of an expression as b+24.
What is Addition?Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. Therefore, The given phrase can be written in the form of an expression as,
Sum of a number b and 24 → b+24
Hence, The given phrase can be written in the form of an expression as b+24.
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debbie has at most $60 to spend on the clothes. she wants to buy a pair of jeans for $22 and spend the rest on t-shirts. each t-shirt cost $8. what is the greatest number of t-shirts debbie can buy. *
Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.
To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.
Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.
Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.
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how do i graph this?? it doesnt make any sense to me :(
Answer:
Basically you need to show on a graph the cost half of the Drinks and the Popcorn and then when everything is graphed and then the rest of the instructions are stated below:
A) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks. (3 points - 1 for x-intercept, 1 for -intercept, 1
PLEASE GIVE BRAINLIEST THANK YOU!!!
find the first partial derivatives of the function. (sn = x1 2x2 ... xn; i = 1, ..., n. give your answer only in terms of sn and i.) u = sin(x 1 2x2 ⋯ nxn) ∂u ∂xi =
To find the partial derivative of the function u = sin(x1 2x2 ⋯ nxn) with respect to xi, where i is an integer between 1 and n, we need to use the chain rule. The answer can be expressed as follows: ∂u/∂xi = cos(x1 2x2 ⋯ nxn) * 2ixi * x1 2x2 ⋯ xi-1 2xi-1 xi+1 2xi+1 ⋯ xn.
To explain further, we start by applying the chain rule to u = sin(x1 2x2 ⋯ nxn) with respect to xi. We treat all the variables except xi as constants, so we get:
∂u/∂xi = cos(x1 2x2 ⋯ nxn) * ∂(x1 2x2 ⋯ nxn)/∂xi
Next, we use the product rule to differentiate x1 2x2 ⋯ nxn with respect to xi. We treat all the variables except xi as constants, so we get:
∂(x1 2x2 ⋯ nxn)/∂xi = 2ixi * x1 2x2 ⋯ xi-1 2xi-1 xi+1 2xi+1 ⋯ xn
Substituting this result back into our original equation, we get:
∂u/∂xi = cos(x1 2x2 ⋯ nxn) * 2ixi * x1 2x2 ⋯ xi-1 2xi-1 xi+1 2xi+1 ⋯ xn
Therefore, the partial derivative of the function u = sin(x1 2x2 ⋯ nxn) with respect to xi is cos(x1 2x2 ⋯ nxn) multiplied by 2ixi multiplied by the product of all the variables except xi in the original function.
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Find the area of a triangle with a =17, b =13, and c =19.
find the value of 8s-5t when s=3 and t=-2
Answer:
34
Step-by-step explanation:
Substitute the values.
s = 3 and t = -2
8s-5t
8 (3) - 5(-2)
( 8 x 3 ) - ( 5 x -2 )
24 + 10 [ - x - = + ]
= 34
Select all numbers that are rational.
А
6
13
4.
B
99.7
С
15
D
- 716
E
0.7636363...
F
272
©2020 Illuminate Education ™, Inc.
A game is designed where there are two colors of chips in a bag. Each player must draw a colored chip, put it back, and then draw another. If there are 50 white chips and 27 black chips in a bag, what is the probability of drawing two white chips
The Probability of drawing two black chips is = 0.123
We have the following information available from the question are:
Number of white chips = 50
Number of black chips = 27
Total number of chips = 50 + 27
= 77
We have to calculate the probability of drawing two black chips.
Now, According to the question:
We using the formula of probability :
Probability of drawing black chips = Number of black chips/ total no. of black chips.
Probability of drawing first black chips = 27/77
Probability of drawing second black chips = 27/77
Probability of drawing two black chips = Probability of drawing first black chips × Probability of drawing second black chips
Probability of drawing two black chips = 27/77 × 27/77
= 0.12295
= 0.123
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PLEASE HELP THANK YOU!!
Answer:
50% more i think
solving systems equations: substitution
y=6x+5
y=4x+5
Answer:
y=6x+5 →equation 1
y=4x+5 → equation 2
you can either substitute equation 1 in 2 or equation 2 in 1
substituting equation 1 in 2,
y = 4x + 5
6x + 5 = 4x + 5
6x - 4x = 5 - 5
2x = 0
x = 0/2
x = 0
substituting x = 0 in equation 1, (to get y)
y = 6x + 5
y = 6(0) + 5
y = 0 + 5
y = 5
hope it helps you!!
What are the slope and the y-intercept of the linear function that is represented by the table?
х
3
4
у
1
30
NIE
에 <
2
23
15
1
4
13
30
CON
3
5
1
The slope is
2
5
and the y-intercept is -
1
2
The slope is, and the y-intercept is 5.
Answer:
Slope is -2/5 and y-intercept is -1/3
Step-by-step explanation:
To get the slope, we pick any two points and apply the slope formula
The slope formula is;
m = (y2-y1)/(x2-x1)
To get the slope, we select any two points
That will be;
(-3/4, -1/30) and (1/4,-13/30)
Substituting these in the slope formula, we have:
m = (-13/30 + 1/30)/(1/4 + 3/4)
m = 12/30 = -2/5
Generally, the equation of a straight line is;
y = mx + b
m is slope and b is the y-intercept
We already have the slope, to get the y-intercept, we select any of the points
-3/5 = -2/5(2/3) + b
= -3/5 + 4/15 = b
b = (-9 + 4)/15 = -5/15 = -1/3
Slope is -2/5 and y-intercept is -1/3
Answer:
A
Step-by-step explanation:
The slope is -2/5, and the y-intercept is -1/3.
which approximation is closest to the total of students that chose pepperoni
The total number of students is 853.
The number of students who chose pepperoni pizza is 254 + 143 = 397
Divide this by the total of students multiplied by 100 to get the percentage :
\(\frac{397}{853}\times100=46.5\%\)ANSWER :
The closest answer is 47%
6. Which equation, in point-slope form, passes through (–2, 4) and has a slope of 3?
state the domain and range of the following relation
x^2+y^2=16
The domain and range is [-4, 4] and [0, 4]
What is Domain and range?The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
x² + y² = 16
y = √16 - x²
For domain under root should not be negative quantity,
16 - x²≥0
16≥x²
So, x≤4 or x≥4
Thus, the domain is [-4, 4]
Range:
y is maximum at x=0, y=4
y is minimum at x=4, y=0
Thus, range = [0, 4]
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In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."
To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:
Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):
Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.
Compare the sample mean to the known process mean (2.050):
The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."
Calculate the sample standard deviation using the formula:
Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))
Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.
Compare the sample standard deviation to the known process standard deviation (0.020):
The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."
For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:
Calculate the sample mean:
Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034
Compare the sample mean to the process mean (2.050):
The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."
Calculate the sample standard deviation:
The sample standard deviation is approximately 0.019 liters.
Compare the sample standard deviation to the process standard deviation (0.020):
The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.
In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.
However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.
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.Choose which of the following statements out of (a), (b) or (c) is FALSE? If (a), (b),
and (c) are all true, choose option (d).
A. The level of significance is denoted by α
B. If the consequences of making a Type I error are very serious, then α should be
small
C. The level of significance is determined by the p-value
D. Statements (a), (b), and (c) are all true.
Statement C is false, "The level of significance is determined by the p-value."
The level of significance, denoted by α, is determined by the researcher or decision-maker before conducting a hypothesis test. It represents the maximum probability of committing a Type I error (rejecting the null hypothesis when it is true). Typically, level of significance a smaller α value is chosen if the consequences of a Type I error are serious.
The p-value, on the other hand, is a calculated statistic that helps in determining the strength of evidence against the null hypothesis. It is not used to directly determine the level of significance, but rather to compare it to the chosen α value to make a decision about rejecting or accepting the null hypothesis.
Therefore, statement C is false, "The level of significance is determined by the p-value."
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a context level data flow diagram includes many detailed processes representing the computer programs within the system.true or false?
The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.
A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.
The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.
The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.
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Write the equation of the line passing through point (-5, -4) and parallel to y = -3
A line parallel to a horizontal line is also horizontal.
The equation of the line parallel to
\(y=-3\)is of the form
\(y=b\)Since, the line passes through (-5,-4), the value of b is -4
So, the required equation is
\(y=-4\)Hence, the correct option is (c)
the measure of a is 116 degrees the measure of b is 3 times the measure of c
Consider a random variable X with the Student-t distribution with 16df. Find P(−1.2
We need to find the probability P(−1.2 < X < 1.2), where X is a random variable with the Student-t distribution with 16 df. The probability density function of the Student-t distribution is given by:f(x) = Γ((v+1)/2) / {√(vπ)Γ(v/2)(1+x²/v)^(v+1)/2)}, where Γ() denotes the gamma function, v is the degrees of freedom, and x is the argument of the function.
Using the definition of the probability density function, we can integrate this function over the given interval to find the required probability. However, this integration involves the gamma function, which cannot be easily calculated by hand. Therefore, we use software or statistical tables to calculate this probability. Using a statistical table for the Student-t distribution with 16 df, we can find that P(−1.2 < X < 1.2) is approximately 0.741. Thus, the probability that X takes a value between -1.2 and 1.2 is 0.741. Given X is a random variable with the Student-t distribution with 16df. To find the probability P(−1.2 < X < 1.2), we need to use the probability density function of the Student-t distribution.
The probability density function of the Student-t distribution is: f(x) = Γ((v+1)/2) / {√(vπ)Γ(v/2)(1+x²/v)^(v+1)/2)}, where Γ() denotes the gamma function, v is the degrees of freedom, and x is the argument of the function. Using the definition of the probability density function, we can integrate this function over the given interval to find the required probability. However, this integration involves the gamma function, which cannot be easily calculated by hand. Therefore, we use software or statistical tables to calculate this probability. For the given value of 16 df, we can use a statistical table for the Student-t distribution to find the probability P(−1.2 < X < 1.2). From this table, we get that the probability P(−1.2 < X < 1.2) is approximately 0.741. Thus, the probability that X takes a value between -1.2 and 1.2 is 0.741.
The probability P(−1.2 < X < 1.2), where X is a random variable with the Student-t distribution with 16 df, is approximately 0.741.
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The hexagonal seating section in an auditorium has a small entrance at the front. A walkway leading from the entrance to the front of the stage is 30ft long. What is the approximate area of the entrance and seating section combined?
Each side of the hexagon is about __ ft long. The area of the seating section is about __ ft^2. The area of the entrance is about __ ft^2. The area of the entrance and seating section combines is about __ ft^2.
blank 1:
25
15
35
blank2:
950
600
120
blank 3:
100
150
30
blank 4:
630
300
950
Each side of the hexagon is about 105.219 ft².
The area of the seating section is about 631.315 ft².
The area of the entrance and seating section combines is about 46.764ft².
The area of the entrance is about 678. 078ft².
What is the hexagon about?The territory occupied by a hexagon within its six sides is referred to as its area. A hexagon is a polygon with six line segments and six internal angles.
ΔCJX = 0 X = 1/2 (A F - A O)
= 1/2 (30-3)
= 13.5ft
cx = 15.558ft = CJ (Sides)
Hence: each side of the hexagon is: 1/2 CJ x OX = 105.219 ft².
The area of the seating section is:
6 ( Each side of the hexagon )
= 6 x 105.219 ft².
631.315 ft².
The area of the entrance and seating section combined is:
CJ x AO = 46.764ft².
The area of the entrance is:
631.315 ft²+ 46.764ft².
= 678. 078ft².
Hence, each side of the hexagon is about 105.219 ft².
The area of the seating section is about 631.315 ft².
The area of the entrance and seating section combines is about 46.764ft².
The area of the entrance is about 678. 078ft².
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Answer:
15 ft long
600 ft squared
30 ft squared
630 ft squared
Step-by-step explanation: Good luck fellow "PLATOers"
what is 50 doubled 4 times
Answer:
100
Step-by-step explanation:
To double values larger than those in the ones place position, double the non-zero digit, then follow that calculated value with the same number of zeroes. Example: You will need to double 400, 50, and 3 separately. Since the double of 4 is 8, the double of 400 is 800. Since the double of 5 is 10, the double of 50 is 100.
the simple interest on a sum of money for 2 years at 12% per annum is rupees 1380
(i) find the sum of money
(ii) the compound interest on this sum for 1 year payable half-yearly at the same rate.
Answer:
5750
710.7
Step-by-step explanation:
Simple interest = principal. * rate * time
Principal (p) = sum of money
1380 = p * 0.12 * 2
1380 = 0.24p
p = 1380 / 0.24
p = 5750 rupees.
The compound interest :
A = P(1 + r/n)^nt
A = final amount
n = number of compounding times per period
t = period
A = 5750(1 + 0.12/2)^2*1
A = 5750(1 + 0.06)^2
A = 5750(1.06)^2
A = 5750 * 1.1236
A = 6460.7
Hence, compound interest is :
Final amount - principal
6460.7 - 5750
= 710.7 rupees