Answer:
17
Step-by-step explanation:
ASAP PLEASE HELP WILL GIVE BRAINLEST!!
Recall the equation for a circle with center (h, k) and radius . At what point in the first quadrant does the line with equation u = 0.5x + 4 intersect the circle with radius 3 and center (0, 4)
Answer:
(x-h)2 +(y-k)2=r2
Step-by-step explanation:
If the circle has a centre at (0, 5) and radius 3 the above equation becomes:
x2 +(y-5)2=32
We want to know the point where this circle intersects the line y=x+5 in the first quadrant. In order to do that, we substitute y=x+5 into the equation for the circle or:
x2 +(x+5-5)2=32
x2 +x2 =9
2x2 =9
x = 3 sqrt(2)/2 =2.1213
Substituting to this value into the second equation for y, we find:
y = 2.1213 + 5 = 7.1213
Consequently, the line intersects the circle at (2.1213, 7.1213)
Hope this helps :)
Figure $ABCD$ is a square. Inside this square three smaller squares are drawn with side lengths as labeled. What is the area of the shaded $\text L$-shaped region
Based on the information, we can infer that the shaded area has 7 square units of area.
How to find the area of the shaded region?To find the area of the shaded region we must identify the length of its sides. Additionally, we must divide it into two sections to find the area of each one and then add them.
So the first section would be 4 units high by 1 unit wide and the other section would be 3 units wide by 1 unit high.
3*1=34*1=44 + 3 = 7According to the above, the area of the shaded region is 7 square units.
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What is the value of a + bc when a = 7, b = 4, and c =8
Answer:
answer is 39
Step-by-step explanation:
7 + 4*8 = 39
Answer: look at the picture
Step-by-step explanation: Hope this help :D
OWhat interest rate compounded monthly is needed for $500 to triple in 8 years? Show work.
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \stackrel{ tripled }{\$ 1500}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &8 \end{cases}\)
\(1500 = 500\left(1+\frac{\frac{r}{100}}{12}\right)^{12\cdot 8}\implies \cfrac{1500}{500}= \left( 1+\cfrac{r}{1200} \right)^{96} \\\\\\ 3=\left( \cfrac{1200+r}{1200} \right)^{96}\implies \sqrt[96]{3}=\cfrac{1200+r}{1200}\implies 1200\sqrt[96]{3}=1200+r \\\\\\ 1200\sqrt[96]{3}-1200=r\implies \stackrel{ \% }{13.81}\approx r\)
what is the reflection of (-1, -5) on a number line
Answer:
it would prolly be (1, 5)
Answer:
the answer would be (-1,5)
Step-by-step explanation:
In 500 words:
Explain the different ways the Polynesians used to navigate the Polynesian Triangle.. Can an added interpretation dilute or misrepresent the Indigenous knowledge portrayed, why or why not?
This is for history of astronomy class.
The Polynesian Triangle is a vast region of the Pacific Ocean that encompasses Hawaii, New Zealand, and Easter Island. The Polynesians were skilled navigators who traveled across this vast expanse of water using only the stars, winds, and currents to guide them. They developed a sophisticated system of navigation that allowed them to travel thousands of miles across the open ocean with remarkable accuracy.
One of the primary methods used by the Polynesians to navigate the Polynesian Triangle was celestial navigation. They used the stars, moon, and planets to determine their position and direction. They had an intimate knowledge of the night sky and could identify hundreds of stars and constellations. They used these celestial bodies to create mental maps of the sky that they could use to navigate by. They also used the position of the sun during the day to determine their direction.
Another method used by the Polynesians was wayfinding. Wayfinding is a complex system of navigation that involves observing the natural environment, such as waves, clouds, and birds, to determine one's position and direction. The Polynesians had an intimate knowledge of the ocean currents and wind patterns in their region. They could read the waves and clouds to determine their direction and could even detect land from great distances by observing the behavior of birds.
The Polynesians also used navigational instruments such as the kamalae and the kapele. The kamalae was a wooden board with a small hole in it that was used to measure the angle between two stars. The kapele was a cord with knots tied in it that was used to measure distance traveled.
It is important to note that Indigenous knowledge is often passed down through oral traditions and cultural practices. When interpreting this knowledge, it is essential to do so with respect for its origins and context. Adding interpretations or misrepresenting Indigenous knowledge can dilute its meaning and significance.
In conclusion, the Polynesians used a variety of methods to navigate the Polynesian Triangle, including celestial navigation, wayfinding, and navigational instruments. Their knowledge of the natural environment and their ability to read the stars and currents allowed them to travel vast distances across the open ocean with remarkable accuracy. When interpreting Indigenous knowledge, it is essential to do so with respect for its origins and context.
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If
x and
y vary directly and
y is 48 when
x is 6, find
y when
x is 12.
Answer:
y is 96 when x is 12
Step-by-step explanation:
If x and y vary directly, it means that they are proportional to each other. Mathematically, we can write this relationship as:
y = kx
where k is the constant of proportionality.To find the value of k, we can use the information given in the problem. We know that when x is 6, y is 48. Substituting these values in the equation above, we get:
48 = k * 6
Solving for k, we get:k = 8
Now that we know the value of k, we can use the equation to find y when x is 12:
y = kx
y = 8 * 12
y = 96
Therefore, when x is 12, y is 96.
also in my head I just said if 12 is double of 6, just double 48, which is 96. but that doesn’t always work so that’s why I provided “correct” work above
Research has shown that competent communicators achieve effectiveness by
a. using the same types of behavior in a wide variety of situations.
b. developing large vocabularies.
c. apologizing when they offend others.
d. giving lots of feedback.
e. adjusting their behaviors to the person and situation.
Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).
Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.
Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.
This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.
By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.
In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.
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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.
Explanation:Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.
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Simplify the expression 2√6 -5√54
Answer:
- 13\(\sqrt{6}\)
Step-by-step explanation:
Using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
Simplifying \(\sqrt{54}\)
\(\sqrt{54}\)
= \(\sqrt{9(6)}\)
= \(\sqrt{9}\) × \(\sqrt{6}\)
= 3\(\sqrt{6}\)
Then
2\(\sqrt{6}\) - 5\(\sqrt{54}\)
= 2\(\sqrt{6}\) - 5 (3\(\sqrt{6}\) )
= 2\(\sqrt{6}\) - 15\(\sqrt{6}\)
= - 13\(\sqrt{6}\)
what are the two next numbers in this sequence.
12,14,18,26,42, ,
Answer:
74 , 138
Step-by-step explanation:
12 + 2 = 14
14 + 4 = 18
18 + 8 = 26
26+16 = 42
42+32= 74
74+64 =138
please make my answer as brainelist
Jordan signed up for a streaming music service that costs $14 per month. The service allows Jordan to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1.25 per song. How much total money would Jordan have to pay in a month in which he downloaded 40 songs? How much would he have to pay if he downloaded ss songs?
Answer:
hold on is good
Step-by-step explanation:
Answer:
$64
Step-by-step explanation:
not sure what you mean be ss songs but for the first part i thnk you just multiply tthe number of songs (40) by thte price per song (1.25) and add the service cost ($14) thus giving you $64.
a+history+test+has+30+questions.+a+student+answers+90%+of+the+questions+correctly.+how+many+questions+did+the+student+answer+correctly?
The student answered 27 out of 30 questions correctly on the history test, achieving a 90% accuracy rate.
To calculate the number of questions the student answered correctly, we can multiply the total number of questions (30) by the percentage of questions answered correctly (90%). The calculation is as follows:
Number of questions answered correctly = Total number of questions × Percentage of questions answered correctly
= 30 × 0.90
= 27
Therefore, the student answered 27 questions correctly on the history test.
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The average and standard deviation of the weights of 350 Indian students are 55 kg and 3 kg respectively. And the average and standard deviation of weights of 450 German students are 60 kg and 4 kg respectively. a. Determine the combined mean weight of all those Indian and German students. b. Find the standard deviation of weight for the combined group of students.
The combined mean weight of all Indian and German students is 57.81 kg. The combined standard deviation of weight for the group is 3.59 kg.
The combined mean weight is calculated by adding the mean weights of the two groups and dividing by the total number of students. In this case, the mean weight of the Indian students is 55 kg and the mean weight of the German students is 60 kg. There are a total of 350 Indian students and 450 German students, so the combined mean weight is (350 * 55 + 450 * 60) / (350 + 450) = 57.81 kg.
The combined standard deviation is calculated using a formula that takes into account the standard deviations of the two groups and the number of students in each group. In this case, the standard deviation of the Indian students is 3 kg and the standard deviation of the German students is 4 kg. The combined standard deviation is sqrt((350 * 3^2 + 450 * 4^2) / (350 + 450)) = 3.59 kg.
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Using the weighted average approach to process costing, floridyne would use what number of equivalent units in 2019 to calculate the cost per equivalent unit for direct labor?
Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.
How do we get the equivalent unit labor?Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:
Finished 162,000
Ending - WIP 6,200 ending at 70% complete
Equivalent units for labor = Finished + Percentage of completion ending units
= 162,000 + 6,200 x 70%
= 166,340
Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.
Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"
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Which of the following terms describe the relationship between the number of notes and each syllable of a text and which do not?
-syllabic
-melismatic
-neumatic
The terms syllabic, melismatic, and neumatic are all related to the number of notes in relation to each syllable of a text. Syllabic means that each syllable of the text is sung to one note.
This is the simplest type of setting for text to music. In contrast, melismatic means that each syllable of the text is sung to many notes, creating a more intricate and ornamental melody. Neumatic is somewhere in between syllabic and melismatic, where each syllable is sung to a few notes, but not as many as in a melismatic setting.
Syllabic, melismatic, and neumatic all describe the relationship between the number of notes and each syllable of a text.
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A submarine dives below the surface, heading downward in three moves. If each move downward was 220 feet, where is the submarine after it is finished diving?
The submarine would be ______ feet below sea level, or ____ feet.
What is a form of digital television that works with digital broadcast signals, transmitting digital sound, supporting wide screens, and providing high resolutions
A form of digital television that works with digital broadcast signals, transmitting digital sound, supporting wide screens, and providing high resolutions is High-Definition Television (HDTV).
HDTV is a type of television broadcasting that utilizes digital signals, allowing for superior picture and sound quality compared to traditional analog television. It supports wide screens, providing an aspect ratio of 16:9, which is ideal for displaying content in widescreen formats. HDTV also offers high resolutions, typically 720p or 1080i/p, resulting in sharper and more detailed images on compatible high-definition displays. With its digital nature, HDTV brings improved audiovisual experiences to viewers, enhancing their overall television-watching experience.
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3. Solve the following questions.
(a) x +3 = 5
(b) 2x – 3 = 5
4. Solve the following questions.
(a) - 17 = -10
(b) x+7
___ =13
-2
Answer:
3a. x=8 3b. x=4 4a. 7 4b. -13.5
the expression 60\cdot1.2^t60⋅1.2 t 60, dot, 1, point, 2, start superscript, t, end superscript models the number of nano-related patents granted in the us as a function of years since 199119911991.
The expression 60⋅1.2^t models the number of nano-related patents granted in the US as a function of years since 1991.
Start with the number 60.
This represents the initial number of nano-related patents granted in the US in the year 1991.
Multiply 60 by 1.2.
This accounts for a growth factor of 1.2, indicating that the number of patents granted is increasing by 20% each year.
Raise 1.2 to the power of t. The variable t represents the number of years since 1991. This allows the expression to model the increase in patents over time.
The resulting expression, 60⋅1.2^t, gives an estimate of the number of nano-related patents granted in the US for any given year since 1991.
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i need help with this
Answer:
with what???
Step-by-step explanation:
(-2x+1) (2x^2-1/3x+2)
Answer:
JHJHJHJHUJ3480945768
658768
Step-by-step explanation:
684867765543545
Ans x = 0.5
Step-by-step explanation:
\(= -4x^{3} + 2x^{2} +\frac{2}{3}x^{2} -\frac{1}{3}x-4x+2\\= -4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2\\\)
If the equation requires to find x, you can use Casio calculator to solve this by some basic formula:
Step 1: Type \(-4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2\)
Step 2: Press Shift SOLVE (CALC)
Step 3: Press "0" for Solve for X
-> You will find the x is 0.5
If the number of bacteria on the surface of your phone triples every hour and can be described by the exponential function: f(x)=1000x3^x
, complete the table of values to show how much bacteria is on your phone after 4 hours.
Answer: 81,000
Step-by-step explanation:
We can solve this by using the formula given.
If f(1)=1000x3^1, then 1,000x3=3,000
If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,
and so on,
Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000
To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.
x f(x)
0 1000
1 3000
2 9000
3 27,000
4 81,000
Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.
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1. The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Determine when the particle is moving to the right, to the left, and stopped.
v(t)=√√5-t, 0≤t≤5
a. Right: 0 ≤t<5 Left: never Stopped: t = 5
b. Left: 0 ≤t<5 Right: never Stopped: t = 5
c. Left: 0 ≤t≤ 5 Right: never Stopped: never
d. Right: 0 ≤t≤ 5 Left: never Stopped: never
2. The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Determine when the particle is moving to the right, to the left, and stopped.
v(t) = 42.6 -0.6t, 0 st≤ 120
a. Left: 0 < t < 71 Right: 71
b. Right: 0 < t < 71 Ob Left: 71 < t ≤ 120 Stopped: t = 71
c. Right: 0 ≤t<71 Oc Left: 71
d. Left: 0
3. The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Determine when the particle is moving to the right, to the left, and stopped.
v(t) = ecost sint, 0 st≤ 2π
a. Right: 0≤t<₁mst< 3T 2 3T Left:
b. Right: 0 st <37
c. Right: 0
d. Right: 0
4. The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Determine when the particle is moving to the right, to the left, and stopped.
9t v(t) = 1+ t² 5,0 ≤t≤ 10
a. Right: 0
b. Right: never Stopped: t = 0 Right: 0
c. Left: 9
d. Left: never Stopped: never
In this problem, we are given the velocity function v(t) of a particle moving along the x-axis and we need to determine when the particle is moving to the right, to the left, and when it is stopped.
For the function v(t) = √(√(5-t)), 0 ≤ t ≤ 5, the particle is moving to the right for 0 ≤ t < 5 because the velocity function is positive in that interval. It is never moving to the left as the velocity function is always positive. The particle is stopped at t = 5 because the velocity becomes zero.
For the function v(t) = 42.6 - 0.6t, 0 ≤ t ≤ 120, the particle is moving to the right for 0 < t < 71 because the velocity function is positive in that interval. It is moving to the left for 71 < t ≤ 120 as the velocity function becomes negative. The particle is stopped at t = 71 because the velocity becomes zero.
For the function v(t) = e^(cos(t))sin(t), 0 ≤ t ≤ 2π, it is difficult to determine the direction of motion without additional information. The given options do not provide clear information about the particle's motion.
For the function v(t) = 9t/(1 + t²), 0 ≤ t ≤ 10, the particle is always moving to the right because the velocity function is positive in the given interval. It is never moving to the left as the velocity function is always positive. The particle is never stopped as the velocity is always nonzero.
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show that the wave function y=e^(b(x-vt)) is a solution of the linear wave equation (eq. 16.27), where b is a constant
To show that the wave function y=e^(b(x-vt)) is a solution of the linear wave equation (eq. 16.27), we need to plug the wave function into the equation and see if it satisfies the equation.
The linear wave equation (eq. 16.27) is given by:
∂^2y/∂x^2 = (1/v^2) ∂^2y/∂t^2
Plugging in the wave function y=e^(b(x-vt)) into the equation, we get:
∂^2(e^(b(x-vt)))/∂x^2 = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2
Taking the second derivative with respect to x, we get:
b^2 e^(b(x-vt)) = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2
Taking the second derivative with respect to t, we get:
b^2 e^(b(x-vt)) = (1/v^2) b^2 v^2 e^(b(x-vt))
Simplifying, we get:
b^2 e^(b(x-vt)) = b^2 e^(b(x-vt))
This shows that the wave function y=e^(b(x-vt)) satisfies the linear wave equation (eq. 16.27) and is therefore a solution of the equation.
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What are the domain and range of the function F(x) = |x| * 0.015, for x > 0 (sale)
F(x) = |x| *0.005, for x < (return)
Domain: For sales, x > 0 (positive values); for returns, x < 0 (negative values).
Range: F(x) ≥ 0 (non-negative values).
The given function is defined as follows:
For x > 0 (sale): F(x) = |x| * 0.015
For x < 0 (return): F(x) = |x| * 0.005
The domain of the function is the set of all possible input values, which in this case is all real numbers. However, due to the specific conditions mentioned, the domain is restricted to positive values of x for the "sale" scenario (x > 0) and negative values of x for the "return" scenario (x < 0).
Therefore, the domain of the function F(x) is:
For x > 0 (sale): x ∈ (0, +∞)
For x < 0 (return): x ∈ (-∞, 0)
The range of the function is the set of all possible output values. Since the function involves taking the absolute value of x and multiplying it by a constant, the range will always be non-negative. In other words, the range of the function F(x) is:
For x > 0 (sale): F(x) ∈ [0, +∞)
For x < 0 (return): F(x) ∈ [0, +∞)
In conclusion, the domain of the function F(x) is x ∈ (0, +∞) for sales and x ∈ (-∞, 0) for returns, while the range is F(x) ∈ [0, +∞) for both scenarios.
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from the numbers below
It cost $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).
Answer:
y=20+1.5x
Step-by-step explanation:
The cost of renting a golf cart is equal to $20 plus $1.50 per hour.
let y=the cost of renting a golf cart
let x=the # of hours
y=20+1.5x
How can you decompose the composite figure to determine its area? as three triangles and a circle as two triangles, a rectangle, and a circle as a triangle, a pentagon, and a semicircle as a triangle, a rectangle, and a semicircle
We can decompose the composite figure into a triangle, a rectangle, and a semicircle in order to find the area of the composite figure.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
The area of the composite figure is equal to the sum of area 1, area 2, and area 3
Area 1 - triangle
Area 2 - rectangle
Area 3 - semicircle
We can decompose the composite figure into a triangle, a rectangle, and a semicircle in order to find the area of the composite figure.
Hence option d is correct.
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Answer:
option D
Step-by-step explanation:
Scores of gre are normally distributed with a mean of 505 and standard deviation of 146. Use the 68-95-99.7 rule to find the percentage of people taking the test who score between 213 and 797
Answer:
95%
Step-by-step explanation:
The 68-95-99.7 rule to find the percentage of people is also know as the empirical rule.
The empirical rule formula states that:
68% of data falls within 1standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
From question:
Mean (μ) = 505
Standard deviation (σ) = 146
Hence, we are to find the number of standard deviation which is represented as x
The score is between 213 and 797
μ - xσ
= 505 - 146x = 0
= 505 - 146x = 213
146x = 505 - 213
146x = 292
x = 292/146
x = 2
μ + xσ
505 +146x = 797
146x = 797 - 505
146x = 292
x = 292/146
x = 2
Hence, the percentage falls within 2 standard deviation from the mean.
Thus, from the formula above:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Therefore, the percentage of people taking the test who score between 213 and 797 is 95%
Student Council sells bags of pencils at the school sale. They plan to put 12 pencils in each bag. They want to beat last year's sales of 1,150 pencils.Their goal this year is to sell 1,275. Can the number of pencils they want sell be divided equally amoung the bags if they put 12 pencils in each nag?
Answer:No it can not
Step-by-step explanation:
1,275 divided by 12 is 106.25