Answer: 5
Step-by-step explanation:
Marilyn borrowed $47,500 to pay for college. If the interest rate is 4.6%,
how much total will she have paid after 15 years?
plzplz plz answer
Answer:
98,635
Step-by-step explanation:
what does a scatter plot indicate? the correlation between variables the limitations of the correlation coefficient the general nature of the relationship between variables the shared variance between two variables
The scatter plot indicates the correlation between variables.
Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables). The points seem randomly dispersed on the coordinate plane if there is no association between the variables. The points cluster close to a straight line if there is a strong association. Scatter plots are practical tools for data visualization that can be used to show a trend.
Data visualization that depicts the relationship between two numerical variables is known as a scatterplot. The values for the two variables are used to depict each member of the dataset as a point with x-y coordinates that correspond to those values.
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Is Y=6x+11 a function?
Answer:
Yes
Step-by-step explanation:
y=6x+11
0=6x+11
-6x=11
x=-11/6
So its a solution
A monument casts a shadow 215-ft long when the angle of elevation of the sun is 52º. Find
the height of the monument.
I don’t have a calculator on hand but this is how it’s done so just type the final equation in:
SOH
sin (52) x 215 = your answer
A 9-year-old boy is told that he must stay in the hospital for 2 weeks. What is the main concern in this scenario?
a. Emotional well-being
b. Medical treatment
c. Educational support
d. Social interaction
The main concern in the scenario of a 9-year-old boy being hospitalized for 2 weeks is his emotional well-being. So correct answer is option a.
Hospitalization can be a stressful and challenging experience for anyone, especially for a young child. The main concern in this scenario is ensuring the emotional well-being of the boy during his hospital stay. Being away from home, undergoing medical treatments, and experiencing a disrupted routine can lead to feelings of fear, anxiety, and sadness. It is crucial to provide appropriate emotional support, create a comforting environment, and address the child's emotional needs to minimize distress and promote a positive experience during the hospitalization.
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a right rectangular prism has a square base with a side length of 3 inches. the height of the prism is 81/4 inches. what is the volume of the prism
Answer:60 3/4
Step-by-step explanation:you multiply 81/4 times 3 and get 243/4 so you divide 243 divided by 4 and the answer is 60 3/4
if a is any integer, is a (a plus 1 )even or odd? say which it is (4 pts) and explain why (as a simple proof) (8 pts).
==================================================
Proof:
We'll break the proof into two cases which I'll label A and B
Case A: 'a' is evenCase B: 'a' is odd-----------
Case A: 'a' is even
k = some integer
a = 2k = some even integer
a+1 = 2k+1
a(a+1) = 2k(2k+1) = 2(2k^2+k) = 2*(some integer)
Since 2 is a factor of that last expression, this shows that a(a+1) is even when 'a' is even.
-----------
Case B: 'a' is odd
k = some integer
a = 2k+1 = some odd integer
a+1 = (2k+1)+1 = 2k+2
a(a+1) = (2k+1)(2k+2) = 2(2k+1)(k+1) = 2(some integer)
This shows that a(a+1) is even when 'a' is odd.
-----------
Therefore, for any integer 'a', the expression a(a+1) is always even.
Some examples:
a = 3, a+1 = 3+1 = 4, a(a+1) = 3*4 = 12 which is evena = 12, a+1 = 12+1 = 13, a(a+1) = 12*13 = 156 which is even-----------
Here's a slightly different way to interpret why the proof works.
a(a+1) consists of factors 'a' and 'a+1'
If 'a' was even, then a(a+1) is automatically even since 2 is a factor of 'a'.If 'a' was odd, then a+1 is even and we arrive at the same conclusion as before.Either way, we'll have 2 as a factor somewhere in a(a+1).
Solve for x, rounding to the nearest hundredth.
10^3x = 98
Answer:
see explanation
Step-by-step explanation:
10^3x=98
1000x=98
x=98/1000
x=49/500
x=0.98
if it is rounded to the nearest hundredth then x=0
what is the equation of the circle shown in the graph?
Answer:
(x + 6)² + (y - 4)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 6, 4 ) and r = 3 , then
(x - (- 6) )² + (y - 4)² = 3² , that is
(x + 6)² + (y - 4)² = 9
Find g(1) if g(x) = x^2 + 1.
2 3
Answer:
\(y = {1}^{2} + 1 = 1 + 1 = 2\)
you should be able to number the events in the accompanying figure in the proper order of occurrence. if the first (oldest) event is number 1, and the last (most recent) is number 8, which occurred fifth in the sequence?
If the first event is number 1 and the last event is number 8, then the event that occurred fifth in the sequence would be numbered as 5. However, without the accompanying figure, it is impossible to determine which specific event occurred at that point in the sequence.
To determine which event occurred fifth in the sequence of the accompanying figure, you should follow these steps:
1. Identify the first (oldest) event, which is labeled as number 1.
2. Move on to the next oldest event, which will be number 2, and so on.
3. Continue identifying events in chronological order.
4. When you reach the event labeled as number 5, this will be the event that occurred fifth in the sequence.
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The heights of fully grown English oak trees are normally distributed with a mean of 95 feet and a standard deviation of 10 feet. Approximately what proportion of fully grown English oak trees are taller than 110 feet
Approximately 2.28% of fully grown English oak trees are taller than 110 feet, based on a normal distribution with a mean of 95 feet and a standard deviation of 10 feet.
To calculate the proportion, we need to find the area under the normal distribution curve above the height of 110 feet.
Since we know the mean (μ = 95 feet) and standard deviation (σ = 10 feet), we can convert the height to a z-score using the formula z = (x - μ) / σ, where x is the height.
Converting 110 feet to a z-score:
z = (110 - 95) / 10
z = 1.5
Using a standard normal distribution table or a statistical software, we can find the proportion of values above a z-score of 1.5. From the table, we find that the proportion corresponding to 1.5 is approximately 0.0764.
However, since we are interested in the proportion above 110 feet, we subtract this value from 1 to find the proportion above 110 feet:
Proportion = 1 - 0.0764
Proportion = 0.9236
So, approximately 92.36% of fully grown English oak trees are shorter than or equal to 110 feet. Thus, approximately 2.28% (100% - 92.36%) of fully grown English oak trees are taller than 110 feet.
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what is the probability that sue gets a b grade of at least 4 out of 5 on a 5-question multiple choice test (with answers a - d for each question) by guessing at random? what are the possible number of outcomes of answer combinations? what are the events that satisfy the condition of at least 4 out of 5 correct answers?
The sum of the probabilities of getting 4, 5, and 6 correct gives us the probability of getting at least 4 correct, which is approximately 0.201.
The probability that Sue gets at least 4 out of 5 correct answers on a multiple choice test by guessing at random is calculated using the binomial distribution. Each question has 4 possible outcomes (a-d) and the probability of guessing correctly is 1/4.
The number of possible answer combinations is 4^5 = 1024. To calculate the probability of getting at least 4 correct, we need to calculate the sum of the probability of getting 4 correct, 5 correct, and 6 correct (which is impossible). This can be done using the binomial probability formula:
P(X) = (n choose x) * p^x * (1-p)^(n-x)
where n is the number of questions, x is the number of correct answers, and p is the probability of guessing correctly. The sum of the probabilities of getting 4, 5, and 6 correct gives us the probability of getting at least 4 correct, which is approximately 0.201.
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Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test?
Answer:
Step-by-step explanation:
Let the 2 point questions = x
Let the 4 point questions = y
This first equation gives the total number of questions.
x + y = 40 Multiply this question by 2
2x + 2y = 80
The second equation gives the point distribution. The value of multiple choice answers = 2x. The value of the short answer questions = 4y.
Now write the first equation under this question.
2x + 4y = 100
2x + 2y = 80 Subtract.
2y = 20 Divide by 2
2y/2 = 20/2
y = 10
x + y = 40
x + 10 = 40
Subtract 10 from both sides
x = 30
Answer
There are 10 four point questions on the testThere are 30 two point questions of the test.Thirty children from an after-school club went to the matinee. This is 20% of the children in the club. How many children are in the club?
a) 6
b) 67
c) 150
d) 600
I'm thinking too hard on this question.
Answer:
C)150Step-by-step explanation:
20%=30
x by 5 to get 100%
100%=150
Express the negation of each of these statements in terms of quantifiers without using the negation symbol.
a) ∀x(x > 1)
b) ∀x(x ≤ 2)
c) ∃x(x ≥ 4)
d) ∃x(x < 0)
e) ∀x((x < −1) ∨ (x > 2))
f ) ∃x((x < 4) ∨ (x > 7))
The negation of each of these statements in terms of quantifiers without using the negation symbo
a) There exists at least one x such that x is not greater than 1.
b) There exists at least one x such that x is not less than or equal to 2.
c) For all x, x is less than 4.
d) For all x, x is greater than or equal to 0.
e) There exists at least one x such that either x is not less than or equal to -1 or x is not greater than 2.
f) For all x, x is not less than 4 and x is not greater than 7.
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Lines AD and BC are parallel. What is the angle measurement of Angle ADE(Point D)?АD150°45B ВсYour answer
the measure of the angle ADE
angle ADE=45°
because it is equal to the angle CBE the measure of this angle is 45°
Consider functions f and g.
f(X) = X2 + 24x + 144
g(x) = X3 – 216
-
Which expression is equal to f(x) + g(x)?
Option A is correct. The expression f(x)+g(x) is equal to \(x^3+x-204\).
The given two functions are f(x) and g(x):
\(f(x)=\sqrt{x^2+24x+144}\)
\(g(x)=x^3-216\)
We need to find f(x)+g(x).
Let us simplify f(x) function:
\(f(x)=\sqrt{x^2+24x+144}\)
\((x+12)^2=x^2+24x+144\) by using \((a+b)^2\) formula.
\(f(x)+g(x)=\sqrt{x^2+24x+144}+x^3-216\)
\(=\sqrt{(x+12)^2}+x^3-216\)
The square root gets cancelled.
\(=x+12+x^3-216\)
Combine like terms:
\(=x^3+x-204\)
Hence, the expression f(x)+g(x) is equal to \(x^3+x-204\). Option A is correct.
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Complete question:
Consider functions f and g.
f(X) =√(X^2 + 24x + 144)
g(x) = X^3 – 216
Which expression is equal to f(x) + g(x)?
(a) x^3+x-204
(b) x^3+x^2+24x-72
(c)x^4-204
(d) x^3+x-228
Samy's car can hold 20 gallons of
gasoline in its fuel tank. It is 3/4 full. He
can travel 15 miles for every gallon of
gasoline.
Rosa car has 13 gallons of gasoline in
the fuel tank and she can travel 19 miles
for every gallon of gasoline.
If they both start at the same place and
travel at the same constant speed, who
will go farther?
Answer:.
Justification:
Answer:
Rosa will go farther.
Step-by-step explanation:
1. Samy's travel distance.
3/4 of 20
3/4 * 20 = 15 gallons
15 miles for every gallon
15 * 15 = 225
Samy's travel distance is 225 mIles
2. Rosa travel distance.
13 gallons
19 miles for every gallon
19 * 13 = 247 mIles
Rosa's travel distance is 247 mIles.
four of the following statements are correct descriptions of a normal curve. which one is not a characteristic of a normal curve? group of answer choices it is symmetric its spread increases as its mean increases it is bell-shaped its mean is equal to its median it is single-peaked (unimodal)
The one is not a characteristic of a normal curve is its spread increases as its mean increases that is Option 2.
One of the numerical values that is frequently calculated in both descriptive and inferential statistics is statistical variance. If we know the mean, the value of each data point, and the number of samples, we can determine this value.
The spread of scores in a data set normally increases as the variance of that data set increases. The main reason for this is because variance is a number that represents the average departure of each data point from the mean.
Because the normal distribution is symmetrical on both sides of the mean and is a continuous probability distribution, the right side of the center is the opposite of the left side.
Probability is represented by the area under the normal distribution curve, and the total area under the curve equals one.
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Complete question:
Four of the following statements are correct descriptions of a Normal curve. Which one is NOT a characteristic of a Normal curve?
It is symmetric.Its spread increases as its mean increases.It is bell-shaped.Its mean is equal to its median.It is single-peaked (unimodal).Evaluate the following expression to three significant figures: \( 2^{-9} \times 4^{3} \) Type answer:
Answer:
488000
(real number)
= 4.88 × 105
(scientific notation)
= 4.88e5
(scientific e notation)
number of significant figures: 3
T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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Not so sure on this….
if the denominar is 25 what is the numrater
Answer:
The answer is 12
Step-by-step explanation: Hope you got it
please help no links please!’n
Answer:
85.2
ggggggggggggggggggg
Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *
Answer:
2740.5
Step-by-step explanation:
This is what I got why I did was multipley them
Answer:
2740.5
Step-by-step explanation:
This is what I got when I multipled
Factor this expression completely.
18xy − 9wy − 12y
Find the area of the figure round to the nearest tenth
Answer:
72.0
Step-by-step explanation:
If l is parallel to m find the value of X (x+72)=(3x)
Answer:
x = 27°
Step-by-step explanation:
Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°
x + 72 + 3x = 180
4x + 72 = 180
4x = 108
x = 108/4
x = 27°
The value of x will be 27 degree
The solution to the above problemGiven the lines are parallel you have a pair of same-side interior angles and these angles = 180°
x + 72 + 3x = 180
4x + 72 = 180
4x = 108
x = 108/4
x = 27°
The value of x will be 27 degree
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74.55 divided by 5
I’m not sure of the answer I need some help
Answer:
14.91
Step-by-step explanation:
Have a good day :)
Answer:
The answer is 14.91
Step-by-step explanation:
To find the answer we must first see how many times 5 can go into 74.55. Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.