Answer:
Interest earned after one year is $4.
Step-by-step explanation:
i = prt
principal: $80, rate: .05, time: 1
i = 80(.05)(1)
i = 4
Help! hurry!! NO SPAM!!! I will mark brainliest if you get it correct, and show your work.
Using the graph of f(x)=√x as a guide, which of the following represents the correct description of the function g(x)=2√x-1
g is f horizontally stretched by a factor of 2 and translated 1 unit down.
g is f vertically stretched by a factor of 2 and translated 1 unit right.
g is f horizontally stretched by a factor of 2 and translated 1 unit up.
g is f vertically stretched by a factor of 2 and translated 1 unit down.
Answer:
2nd option
Step-by-step explanation:
kf(x) scales the graph of f(x) in the vertical direction.
• k > 1 stretches
• 0 < k < 1 compresses
Here k = 2 , thus a vertical stretch
-------------------------------------------------------------------
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here \(\sqrt{x-1}\) has a < 0 then a shift of 1 unit to the right
A sample of 85 chewable vitamin tablets have a sample mean of
272 milligrams of vitamin C. Nutritionists want to perform a
hypothesis test to determine how strong the evidence is that the
mean mass of vitamin C per tablet differs from 270 milligrams.
State the appropriate null and alternative hypotheses.
Answer:
The null hypothesis is that the mean vitamin C, μ is equal to the sample mean μ₀
The alternative hypothesis is that the mean vitamin C, μ is not equal to the sample mean μ₀
Step-by-step explanation:
The number chewable vitamin tablets in the sample, n = 85
The mean amount of vitamin C, μ₀ = 272 milligrams
The hypothesis test is to determine the strength of the evidence that the mean mass of vitamin C per tablet differs from 270 milligrams
The null hypothesis, H₀: μ = μ₀ =272 milligrams
The alternative hypothesis, Hₐ: μ ≠ μ₀ = 272 milligrams
For a ship to reach its destination 280 miles away, the navigational officer should enter a heading angle of 16 degrees. The officer transposes the numbers and accidentally enters the heading of 61 degrees. The mistake is not discovered until after the ship travels at a constant rate of 10 miles per hour for 4.5 hours. How far is the ship from its destination now
The ship is approximately 248.181 miles away from its destination.
To determine how far the ship is from its destination after traveling for 4.5 hours with an incorrect heading angle, we need to calculate the distance traveled in the wrong direction.
The ship traveled at a constant rate of 10 miles per hour for 4.5 hours, so the distance it traveled is:
Distance = Rate × Time
Distance = 10 miles/hour × 4.5 hours
Distance = 45 miles
Since the ship was heading in the wrong direction, we need to find the component of this distance that is in the opposite direction of the correct heading.
To calculate this, we can use trigonometry. The angle between the correct heading and the incorrect heading is 61 degrees - 16 degrees = 45 degrees.
Using trigonometry, we can find the opposite component of the distance traveled:
Opposite Component = Distance × sin(Angle)
Opposite Component = 45 miles × sin(45 degrees)
Opposite Component ≈ 31.819 miles
Therefore, the ship is approximately 31.819 miles away from its destination in the wrong direction.
To determine the distance from the destination, we subtract this value from the total distance of 280 miles:
Distance from Destination = Total Distance - Opposite Component
Distance from Destination = 280 miles - 31.819 miles
Distance from Destination ≈ 248.181 miles
Hence, the ship is approximately 248.181 miles away from its destination.
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what is the sum of the geometric sequence -3,18,-108,.. if there are 7 terms?
Answer:
\(S_{7}\) = - 119973
Step-by-step explanation:
The sum to n terms of a geometric sequence is
\(S_{n}\) = \(\frac{a(r^n-1)}{r-1}\)
where a is the first term and r the common ratio
Here a = - 3 and r = 18 ÷ - 3 = - 6 , thus
\(S_{7}\) = \(\frac{-3(-279936-1)}{-6-1}\)
= \(\frac{-3(-279937)}{-7}\)
= \(\frac{839811}{-7}\)
= - 119973
Reliability of the economics final was .84. Standard Deviation of the test scores was 11. What is SEM?
The Standard Error of Measurement (SEM) for the economics final is approximately 27.5 is the answer.
SEM stands for Standard Error of the Mean. It is a measure of the precision or reliability of the sample mean as an estimate of the population mean. It shows the standard deviation of the sampling distribution of the mean.
To calculate the SEM, you need to divide the standard deviation (SD) by the square root of the sample size (n). The formula of SEM is given-
The formula to calculate SEM is:
SEM = Standard Deviation / √(1 - Reliability)
In this case, the reliability of the economics final is given as 0.84, and the standard deviation of the test scores is 11. By Putting these values into the formula, we get:
SEM = \(11 / \sqrt{(1 - 0.84)}\)
SEM = \(11 / \sqrt{0.16}\)
SEM ≈ 11 / 0.4
SEM ≈ 27.5
Therefore, the Standard Error of Measurement (SEM) for the economics final is approximately 27.5.
The reliability of a test, also known as the reliability coefficient, is not directly related to the standard deviation or SEM. It measures the consistency or repeatability of the test scores. It is usually expressed as a value between 0 and 1, with higher values indicating greater reliability.
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The y-intercept is the point where the line crosses the
A. origin
B. slope
C. y-axis
D. x-axis
I NEED HELP!! ITS POLYNOMIALS!!
(5a + 7b) - (3a + 2b) =
Which of the following is a prime number between 10 and 20?
A.
14
B.
11
C.
18
D.
15
Answer:11
Step-by-step explanation:
Answer:
B - 11
Step-by-step explanation:
Find the value of x in the equation below.
81 = 9x
Answer:
x = 9
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
9x = 81
Divide both sides by 9:
x = 81/9 = 9
work out the total surface area of the pyramid
The total surface area of the pyramid is 335 square centimeters
How to determine the total surface areaThe formula for determining the total surface area of a pyramid is expressed as;
TSI = 1/2(PI) + B
Given that;
TSI is the total surface area of the pyramidP is the base perimeter of the pyramidI is the slant height of the pyramidB is the base area of the pyramidNow, let's determine the base perimeter
Perimeter = 2( l + w)
Substitute the values
Perimeter = 2 ( 8 + 12)
Perimeter = 40 centimeters
The base area is given as;
Base area = 8(12)
Base area = 96 square centimeters
Substitute the values, we have;
Total surface area = 1/ 2 (40)(12) + 96
Total surface area = 240 + 96
Total surface area = 335 square centimeters
Hence, the value is 335 square centimeters
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The calculation of SNN distance does not take into account the position of shared neighbors in the two nearest neighbor lists. In other words, it might be desirable to give higher similarity to two points that share the same nearest neighbors ranked higher in the nearest neighbor lists. Describe how you might modify the definition of SNN similarity to achieve that. Justify your modification.
By incorporating this information into the similarity measure, we can produce more accurate and informative results in clustering and classification tasks.
To modify the definition of clustering similarity to take into account the position of shared neighbors in the two nearest neighbor lists, we can introduce a weighting factor that considers the rank of the shared neighbor in each list. This can be achieved by multiplying the regular SNN similarity value by a weight factor that is calculated as the reciprocal of the sum of the ranks of the shared neighbors in the two lists. For example, if two points have a shared neighbor that is ranked 2nd in one list and 3rd in the other list, the weight factor would be 1/(2+3) = 0.2. This weight factor would then be multiplied by the regular SNN similarity value to produce a modified SNN similarity score that gives higher similarity to points that share the same nearest neighbors ranked higher in the nearest neighbor lists. This modification is justified because it takes into account the fact that having shared neighbors that are ranked higher in the nearest neighbor lists is a stronger indicator of similarity than having shared neighbors that are ranked lower.
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In auto insurance, a lower deductible means the customer _____.
a.
has a higher monthly bill, but pays less out of pocket in the event of an accident.
b.
has a higher monthly bill and pays more out of pocket in the event of an accident.
c.
has a lower monthly bill, but pays more out of pocket in the event of an accident.
d.
has a lower monthly bill and pays less out of pocket in the event of an accident.
Answer: A. Has a higher monthly bill but pays less out of pocket in the even of an accident.
Step-by-step explanation:
In auto insurance, a lower deductible means the customer has a higher monthly bill but pays less out of pocket in the event of an accident.
What is insurance?The protection against unforeseen financial losses you acquire when you purchase insurance. In the event that something bad occurs to you, the insurance company pays you or a person of your choosing. In the event of an accident, you can be liable for all expenses if you don't have insurance. Managing your risk is possible with insurance.
When you get sick, you have to pay less money upfront before your health insurance plan begins to pay with low-deductible plans. When you have low-deductible coverage, the trade-off is that your monthly premium will be higher.
In the case of vehicle insurance, a smaller deductible entails a higher monthly premium but fewer out-of-pocket costs for the consumer in the event of an accident.
Thus, in auto insurance, a lower deductible means the customer has a higher monthly bill but pays less out of pocket in the event of an accident.
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Instructions: Given the graph of the circle, find the equation
Given: The graph of the circle shown in the image
To Determine: The equation of the given circle
Solution
The general equation of a circle given the center and the radius is as shown below
\(\begin{gathered} Equation(circle):(x-a)^2+(y-b)^2=r^2 \\ Where \\ Center=(a,b) \\ radius=r \end{gathered}\)Let us determine the center and radius of the given circle as shown below
It can be observed that
\(\begin{gathered} Center=(a,b)=(-4,4) \\ radius(r)=3units \end{gathered}\)Let us substitute the center and the radius into the equation
\(\begin{gathered} Equation(circle):(x-a)^2+(y-b)^2=r^2 \\ a=-4 \\ b=4 \\ r=3 \\ Equation(circle)=(x+4)^2+(y-4)^2=3^2 \\ =(x+4)^2+(y-4)^2=9 \end{gathered}\)Hence, the equation of the circle is
(x + 4)² + (y - 4)² = 9
Give the information asked for to each problems Ax Styles Tags Assignments Calendar In each of the following state the Start Value Growth Value 1. C-5f + 32 Calts FE 2. Y= 4000 - 250x 3 х -3 0 6 у -9 3 -1 -5 3 4. x -4 4 8 Olo у 3 15 21 5. A financial account begins with $5900. Each week $300 is deducted. 6. Also point to the start value Apps Hus Type here to search
Explanation:
1) C = 5/9 f + 32
The start value is the constant = 32.
The start value = 32
Growth value = rate of change
Growth value = 5/9
2) y = 4000 - 250x
The start value is the constant = 4000
The start value = 4000
The library has a ratio of books, 5 out of every 7 book is a fiction book. If there are 210
books in the library, how many books are fiction books? **Number only**
Your answer
Answer:
150
Step-by-step explanation:
7 x 30 = 210
5 x 30 = 150
Sorry I couldn't explain more, But i hope this helps!
anna has 2 dozen Rollo bars and 1 dozen apples as treats for halloween. in how many ways can anna hand out 1 treat to each of 36 children who come to her door?
There are approximately 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.
Anna has 2 dozen Rollo bars, which is equivalent to 2 x 12 = 24 Rollo bars.
She also has 1 dozen apples, which is equivalent to 1 x 12 = 12 apples.
So, Anna has a total of 24 + 12 = 36 treats to hand out.
Now, she needs to hand out 1 treat to each of the 36 children who come to her door.
This can be thought of as selecting 1 treat from the total of 36 treats for each child, without replacement, as each child can only receive 1 treat.
The number of ways to do this is given by the concept of permutations, denoted by "nPr", which is calculated as;
nPr = n! / (n - r)!
where n is the total number of items (treats) to choose from, and r is the number of items (treats) to choose.
In this case, n = 36 (total number of treats) and r = 36 (number of children).
Plugging in the values, we get;
36P36 = 36! / (36 - 36)! = 36! / 0! = 36!
Since 0! (0 factorial) is equal to 1, we can simplify further:
36! / 1 = 36!
36! ≈ 3.72 x 10⁴¹
So, there are 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.
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Find a positive angle less than 360° or 2π that is coterminal with the given angle.-266°
We have the following:
We have coterminal angles, when you graph angles x = 30° and y = - 330° in standard position, these angles will have the same terminal side. See figure below.
\(360-266=94\)Therefore, the answer is 94 degrees in the quadrant II
Which statement is true regarding the line y = -4x + 13? The line has a slope of -13. The line has a slope of 4. The line passes through the point (0, 13). The line passes through the point (0,-4)
Answer:
FalseFalseFalseFalseStep-by-step explanation:
to understand thisyou need to know about:linear equationPEMDASgiven:y=-4x+13
justify:if
The line has a slope of -13. The line has a slope of 4. The line passes through the point (0, 13). The line passes through the point (0,-4)let's justify:the slope-intercept form of a linear equation is
y=mx+bwhere,m is slope and b is y-intercept
let's justify the first and second statement
the line has a slope of -13The line has a slope of 4.our given equation is
y=-4x+13
where -4 is our slope or m
therefore,
1 and 2 statements are False
let's justify the third and fourth statement
The line passes through the point (0, 13)The line passes through the point (0,-4)our given equation is
y=-4x+13
where,13 is our y-intercept which means the line passes y-intercept when x=0
therefore,
third and fourth statements are False
The statement which is true regarding the line y = -4x + 13 is; The line passes through the point, (0, 13)
The equation of a straight line in slope-intercept form is usually of the form; y = mx + c
where m = slope and c is the y intercept with coordinate (0, c)
In essence, the slope of the equation of the line given, m = -4 and it's y-intercept is at point (0, 13).The statement which is true is therefore; The line passes through the point, (0, 13)
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Which of the following statements is NOT true?
(A) (b - a)c = bc - ac
(B) a(-c + b) = -ac + ba
(C) 4a(4b) = 16ab
(D) bc(a - 3) = abc-3
(E) a(-b - c) = -ab - ac
Answer:
(D)
Step-by-step explanation:
A is true because c*b=cb and c*-a=-ca.
B is true because a*-c=-ac and a*b=ab.
C is true because 4a*4b is 16*ab so 16ab.
D is NOT true because bc*a=bca and bc*3=3bc so bca-3bc is NOT bca-3
The resulting vector for b − a is < , >, and the resulting vector for 2a − b is < , >.
The vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.What is a vector?In mathematics, a vector is a quantity that has both magnitude and direction but no position. Examples include velocity and acceleration.To find the vectors:
Use the graph to solve the problem:
The vector a is <3, -2>The vector b is <-2, 5>We can add and subtract the vectors:
a = <3 , -2>b = <-2 , 5>-To find b - a subtract a from b:
b - a = <-2 , 5> - <3 , -2> = <(-2 - 3) , (5 - -2)> = <(-5) , (7)>The resulting vector b - a is <-5, 7>2a means multiply vector a by 2:
a = <3 , -2>2a = <(2 × 3) , (2 × -2) = <6 , -4>Now let's find the resulting vector 2a - b.
- Subtract b from 2a:
2a = <6 , -4>b = <-2 , 5>2a - b = <6 , -4> - <-2 , 5> = <(6 - -2) , (-4 - 5> = <(8) , (-9)> = <8 , -9>The resulting vector 2a - b is <8, -9>
Therefore, the vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.Know more about vectors here:
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The complete question is given below:
The graph shows vectors a and b the resulting vector for b - a is blank, blank >, and the resulting vector for 2a -b is < blank, blank >.
a survey found that 78% of the men questioned preferred computer-assisted instruction to lecture and 68% of the women preferred computer-assisted instruction to lecture. there were 100 randomly selected individuals in each sample. find the 95% confidence interval for the difference of the two proportions.
The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
Given that,
In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.
We have to calculate the 95% confidence range for the difference between the two proportions.
We know that,
The 95% confidence interval for difference between two population proportions is given as follows :
\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)
Here,
p₁ is 0.78
p₂ is 0.68
n₁ is 100
n₂ is 100
Z is 1.96
P is 0.73
Q is 0.27
So,
((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)
(0.10±0.122)
(0.10-0.122,0.10+0.122)
(-0.022,0.222)
Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
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A person placed $4080 in an investment
The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount but after 1 year it will convert into $550.
As per the given,
Principle amount P = $4080
Rate of interest r = 5.7% = 0.057
Time period t = 4 years.
The formula for total value is given as,
V = P\(e^{rt}\)
V = 4080\(e^{(0.057\times4)}\)
V = $5124.83
Hence "The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83".
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The given question is incomplete complete question follows;
The Ridgewood Middle School student council has $400 in the treasury. They need to spend $45 on a banner. The rest is to be divided equally among four committees for expenses for the dance. How much can each committee spend to stay within this budget?
Answer:
they must spend 88.75 or less
Step-by-step explanation:
i just did it and it 100 percent right now trust me
A-the mean of 10 numbers is 27. What is the sum of the numbers
B-if 5 is added to each number. What is the sum of new set of numbers
C-what is the mean is the new set of numbers
The sum of number is 270, after adding 5 to each number , sum of numbers is 320 and mean is 32.
The mathematical average of a group of two or more numbers is arithmetic mean, add the numbers in a set together and divide by the total number of numbers in the set.
Here the mean of 10 number is 27. We know that ,
\(mean=\frac{sum of numbers}{total numbers}\\\)
\(27= \frac{sum of numbers}{10}\)
=sum of numbers = 27*10=270.
Now 5 added to each number, we need to add 5 in 10 times( because 10 total number), Then 5*10=50.
Sum of numbers after adding 5 to each number \(270+50=320\)
Now, \(mean=\frac{320}{10}=32\)
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what if there are two circles and ones shaded and the other isn’t??
Answer:
-3 < x \(\leq\) 4
Step-by-step explanation:
A closed circle means that you are including that number in the solution and an open circle means that you are not including that number in the solution. In this situation 4 is a solution, but -3 is not.
Helping in the name of Jesus.
a(b + c) = a • b + a • c, where a, b, and c are real numbers
Use the distributive property to simplify the expression.
8(3 + 4) = 24 +
Answer:
a(b + c) = a • b + a • c
=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32
Step-by-step explanation:
Answer:
The answer for the blank is 32
Step-by-step explanation:
Hi bn brainliest will
Answer:
27 miles. D
Step-by-step explanation:
Answer:
D ) 27 MilesStep-by-step explanation:
1 CM = 6 Miles
1.5 CM = 9 Miles
2 CM = 12 Miles
2.5 CM = 15 Miles
3 CM = 18 Miles
3.5 CM = 21 Miles
4 CM = 24 Miles
4.5 CM = 27 Miles
In this case, each 0.5 Centimeters equals 3 Miles, and 1 Centimeter equals 6 Miles. So if you add the centimeters by 0.5, you will just have to add the miles by 3 till you get to 4.5 CM.
Hope this helps! <3
Write the equation of the line parallel to the given line and passing through the given point.
a)
y=2x−8 through (3,10)
b)
y= 1/2 x+2 through (0,4)
c)
y=−2x−1 through (4,3)
Answer:
a) y = 2x +4
b) y = 1/2x +4
c) y = -2x +11
Step-by-step explanation:
The given equations are in slope-intercept for, so we can read the slope directly from the equation. It is the x-coefficient.
We can then write an equation of a parallel line using the point-slope form of the equation of a line:
y -k = m(x -h) . . . . for a line with slope m through point (h, k)
If you like, you can rearrange this to "slope-intercept" form. Add k and simplify.
y = mx +(k -mh)
__
a) m = 2, (h, k) = (3, 10)
y = 2x +(10 -2·3)
y = 2x +4
__
b) m = 1/2, (h, k) = (0, 4)
y = 1/2x +(4 -(1/2)·0)
y = 1/2x +4
__
c) m = -2, (h, k) = (4, 3)
y = -2x +(3 -(-2)(4))
y = -2x +11
Please help. Will give brainiest.
Write the equation of the line, in point-slope form. Identify (x 1 , y 1 ) as the point (-2, 2). Use the box provided to submit all of your calculations and final answers.
y-2=(-x+2)
point slope
equation is
y-y1=m(x-x1)
Evaluate the Boolean equation F= (a) AND NOT(b OR NOT(c)) for the given values of variables a,b and c : A. a=0,b=0,c=0, ANS B. a=1,b=0,c=1, ANS C. a=1,b=1,c=0, ANS D. a=1,b=1,c=1, ANS
To evaluate the given Boolean equation F = (a) AND NOT(b OR NOT(c)) for each set of variable values:
The Boolean equation F=(a) AND NOT(b OR NOT(c)) can be simplified as follows:
F = a AND (NOT b AND c)
The value of F depends on the values of a, b, and c.
Case A: a=0, b=0, c=0
In this case, F = 0 AND (NOT 0 AND 0) = 0 AND 0 = 0.
Case B: a=1, b=0, c=1
In this case, F = 1 AND (NOT 0 AND 1) = 1 AND 1 = 1.
Case C: a=1, b=1, c=0
In this case, F = 1 AND (NOT 1 AND 0) = 1 AND 0 = 0.
Case D: a=1, b=1, c=1
In this case, F = 1 AND (NOT 1 AND 1) = 1 AND 1 = 1.
Therefore, the correct answers are B and D.
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