The z-scores that bound the middle 82% of the area under the standard normal curve are -1.34 and 1.34, entered in ascending order.
Given :The middle 82% of the area under the standard normal curve. Ascending order. Round the answers to two decimal places. So, we can solve this by using Excel. We know that the middle 82% of the area is the region between the z-scores whose cumulative probabilities are 9%2 = 91% on either side. Using the formula =NORM.INV(probability) for the inverse cumulative distribution function of the standard normal distribution, we can find the corresponding z-scores. The z-score at the 9th percentile is =NORM.INV(0.09) = -1.34 (rounded to two decimal places)The z-score at the 91st percentile is =NORM.INV(0.91) = 1.34 (rounded to two decimal places)
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for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
The right response is (b), as it increases the minimum sample size required to ensure a given margin of error.
What is margin of error?When a tiny sample of data from a relatively large population is estimated, this is what is meant by the term "margin of error" . The standard deviation, sample size, and desired confidence level are often the factors that control the margin of error.
calculation
Let's take a look at the values in the supplied statement to discover the missing term.
the population's standard deviation is where
m stands for "Margin of Error," and Z stands for "Empirical Value of Z-Score" at a specific confidence level.
As a result, the recommended minimum sample size for a particular degree of confidence is
⇒ (Z×σ)²/m²
The minimal sample size is directly correlated with the population's standard deviation, as shown by the calculation above.
Therefore, when the population "standard deviation" increased, the minimal sample size needed would also "rise."
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L(h)=42-3.5h
the number of loaves of bread remaining in a restaurant h hours after opening for the day can be modeled by this function
The domain of the given function problem is: 0 ≤ h ≤ 12
How to find the domain of the function?The domain of a function is defined as the set of all possible input values for which the function exists.
Meanwhile, the range of a function is defined as the set of all possible output for the possible domain values.
We are given the function as:
L(h) = 42 - 3.5h
where h is the number of hours after opening for the day.
L(h) is the number of loaves of bread remaining in a restaurant h hours after opening for the day
Thus, maximum that can be left is 0.
Thus:
Max domain:
42 - 3.5h = 0
3.5h = 42
h = 12
Thus, domain is:
0 ≤ h ≤ 12
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Complete question is:
The number of loaves of bread remaining in a restaurant h hours after opening for the day can be modeled by this function.
L(h) = 42 - 3.5h
What is the domain of the function?
A rectangular trampoline has an area of 204 squaſe feet. The length of the trampoline is 17 feet. What is the width?
Answer:
width = 12 ft
Step-by-step explanation:
A = w * l
w = a/ 1 = 204/ 17 = 12 ft
Cleveland, OH, where the maximum and minimum temperatures were 70
∘
F and 58
∘
F respectively, experienced a mean temperature of
∘
F (round up if necessary). a. 58 b. 60 c. 64 d. 66 11. The mean temperature derived from the maximum and minimum temperatures at Cleveland indicates degree days were accumulated. a. heating (HDD) b. cooling (CDD) 12. Therefore, Cleveland accumulated degree day(s) on 6-7 September 2022. a. 0 b. 1 c. 3 d. 7 13. Based on the plotted temperatures across the rest of Ohio, remaining stations HDD on 6-7 September 2022. a. accumulated b. did not accumulate You can observe and calculate HDD or CDD as we progress into the fall and through the winter. Wind Chill HDD and CDD values and their effect on homeowners' utility bills may stress tight budgets through the seasons. Since energy bills are dependent on the human who uses the energy, another factor for homeowners to consider when budgeting energy consumption is wind chill. The wind chill is an air temperature index that takes into account heat loss from exposed skin caused by the combined effect of wind and low air temperature. Outdoors, the cooling effect of wind along with the ambient temperature is reflected by using the wind chill equivalent temperature. Go to NWS Daily Weather Map for the most recent map. The pane to the left allows you to select any date back to 1 January 2003. Each day's map series includes the surface map, colorcoded maps of maximum and minimum temperatures, mid-tropospheric flow at the 500−mb level, and total precipitation. The surface and 500−mb maps are for 12Z(8a.m. EDT or 7a.m. EST, etc.) while the temperatures and precipitation maps are for the entire day. Clicking on the maps opens a more detailed map. Bring up the daily weather map set for 23 January 2022 . Scroll down and click on either the Maximum or Minimum Temperature map. 14. For 23 January 2022, on the North Dakota-Minnesota border, Fargo had a minimum temperature of −25
∘
F. With the minimum temperature there, assume Fargo was experiencing a wind speed of 10mph. With the NWS Wind Chill Chart in Figure 4A-5 from Investigation 4A, the wind chill for this combination of temperature and wind speed would have been
∘
F. a. −16 b. −20 c. −35 d. −41 e. −47
The mean temperature in Cleveland, OH, was 64°F. The accumulated degree days for Cleveland on 6-7 September 2022 were 1. The rest of Ohio accumulated degree days during the same period.
Based on the given information, the maximum temperature in Cleveland was 70°F and the minimum temperature was 58°F. To find the mean temperature, we add the maximum and minimum temperatures and divide by 2: (70°F + 58°F) / 2 = 128°F / 2 = 64°F.
Degree days are a measure of heating or cooling requirements. In this case, since the mean temperature in Cleveland was lower than a certain base temperature, degree days were accumulated. The base temperature is typically set at 65°F for cooling and 55°F for heating. Since the mean temperature in Cleveland was below the base temperature, the accumulated degree days are heating degree days (HDD).
For the specific date of 6-7 September 2022, Cleveland accumulated 1 heating degree day (HDD). This means that the average temperature for that period was 1 degree below the base temperature of 55°F.
The remaining stations in Ohio also accumulated heating degree days (HDD) on 6-7 September 2022. This indicates that the temperatures across the rest of Ohio were below the base temperature during that period.
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Solve the formula for the indicated variable.
P=c+ 4b + 4a, for c
C=
(Simplify your answer.)
What is the 18th term of the arithmetic sequence -13, -9, -5, -1, 3,...? A. A(18) = 55 B. A(18) = 59 C. A(18) = -81 D. A(18) = -153
The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55
Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.
The specific number in the arithmetic progression is calculated by
\(a_n=a_1+(n-1)d\)
where \(a_n\) is the term in arithmetic progression at the nth term
\(a_1\) is the initial term in the arithmetic progression
d is the difference between two consecutive terms
In the given question, \(a_1\) = -13
d = -9 - (-13) = 4
Therefore, to calculate the 18th term,
\(a_{13}=a_1+(18-1)d\)
= -13 + (17) 4
= -13 + 68
= 55
Hence, the 18th term of the above AP is 55
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PLEASE HELP!! URGANT!!
Answer:
65
Step-by-step explanation:
set up the equation:
PQK+KQR=PQR
(14x-5)+(102)=(34x-3)
calculate the equation
you'll get x=5
put 5 into PQK
14(5)-5= 65
An ice machine produces ice cubes that are inch on each side.
What is the volume, in cubic inches, of one ice cube produced by this
ice machine?
The volume of an ice cube produced by this machine is of:
Volume ice cube = 1 inch³
What is a volume?A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.
If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:
Volume cube = side x side x side
Volume cube = side³
side = 1 inch
Volume ice cube = 1 inch³
As the side is 1 the volume and area will be 1 but with corresponding unit
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A circle with centre C(-3, 2) has equation x² + y² + 6x - 4y = 12 (a) Find the y-coordinates of the points where the circle crosses the y-axis. (b) Find the radius of the circle. (c) The point P(2,5) lies outside the circle. (i) Find the length of CP, giving your answer in the form √n, where n is an integer. (ii) The point Q lies on the circle so that PQ is a tangent to the circle. Find the length of PQ.
a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.
(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:
0² + y² + 6(0) - 4y = 12
y² - 4y = 12
y² - 4y - 12 = 0
To solve this quadratic equation, we can factor it:
(y - 6)(y + 2) = 0
Setting each factor to zero, we find two possible values for y:
y - 6 = 0 => y = 6
y + 2 = 0 => y = -2
Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).
(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:
x² + y² + 6x - 4y = 12
(x² + 6x) + (y² - 4y) = 12
(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4
(x + 3)² + (y - 2)² = 25
Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.
Therefore, the radius of the circle is 5.
(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).
The distance formula is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates into the formula, we have:
CP = √((2 - (-3))² + (5 - 2)²)
= √(5² + 3²)
= √(25 + 9)
= √34
Therefore, the length of CP is √34.
(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.
Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.
Therefore, the length of PQ is equal to 2 times the length of CP:
PQ = 2 * CP
= 2 * 5
= 10
Therefore, the length of PQ is 10.
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The velocity v in cm/s of a particle is described by the function: v(t) = 2t² — cos(t) — 0.5t. (a) (2 marks) Determine its displacement function given the displacement of the particle at t = 0 is
The displacement function for the given velocity function is s(t) = (2/3)t³ - sin(t) - (0.25)t² + C, where C is the constant of integration that depends on the initial displacement of the particle at t = 0.
The displacement function for the given velocity function v(t) = 2t² — cos(t) — 0.5t, with the initial displacement at t = 0, can be obtained by integrating the velocity function over time. The resulting displacement function represents the change in position of the particle as a function of time.
To find the displacement function, we need to integrate the given velocity function, v(t), with respect to time. The displacement, denoted as s(t), represents the change in position of the particle as a function of time. Therefore, we can write:
s(t) = ∫[v(t) dt]
Using the antiderivative or integral rules, we can integrate each term of the velocity function separately. The integral of 2t² is (2/3)t³, the integral of cos(t) is sin(t), and the integral of 0.5t is (0.25)t². Thus, the displacement function becomes:
s(t) = (2/3)t³ - sin(t) - (0.25)t² + C
Here, C represents the constant of integration. To determine the value of C, we need the initial displacement at t = 0. The question does not provide this information, so we cannot calculate the exact displacement function without knowing the initial displacement.
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the given equation is either linear or equivalent to a linear equation. solve the equation. (if there is no solution, enter no solution. if all real numbers are solutions, enter reals.)
The given equation has one solution which is x = 6 (which is a REAL number).
What is a solution of linear equation?Linear Equation Solutions are the values of a variables in linear equations that give all possible solutions. Linear equations represent real-world problems by involving unknown quantities with in form with one or more variables.
Some key concepts regarding the solution of linear equation are-
Linear equation solutions are the points where the lines or planes indicating the linear equations intersect or meet. A solution set of a linear equation system is the collection of all possible solutions' values for the variables. While solving linear equations, for example, one can depict the solution of such a system of simultaneous linear equations by having drawn two linear graphs and locating their intersection point.Now, for the given question;
The linear equation is -
4x + 9 = 33
Solving this;
4x = 33 - 9
4x = 24
x = 24/4
x = 6
Therefore, the solution of the given linear equation is (x=6), where 6 is the real number.
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The complete question is-
The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
4x + 9 = 33
Henry examined the table that represents values satisfying the function f(x) shown below.
.
0
RX)
18
0
1
2
4
3
0
4
6
5
8
0
6
7
8
24
70
Based on the information in the table, which one of these key features is incorrect?
The y-intercept of the graph of the function is at (0, - 18).
The maimu
Answer: The maximum value of the function is 4
Classify the triangle by sides.
8, 15, 17
acute
O right
not a triangle
obtuse
Answer:
Acute
Step-by-step explanation:
HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
right triangle
Step-by-step explanation:
The square of the longest side is equal to the sum of the squares on the other 2 sides, that is
17² = 289
8² + 15² = 64 + 225 = 289
Thus by Pythagoras' identity the triangle is right
Which graph represents the function f(x) = -x2 + 5?
The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.
what is quadratic functions ?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape.
here calculation
The function provided is f(x) = -x2+5
.... (1) (1)
We must locate the function's graph.
The quadratic function's vertex form is f(x)= a(x-h)2 + k.... (2)
When we compare (1) and (2), we obtain
h=0 , k=5
It denotes that the function's vertex is (0,5).
The values list is
x y
-2 1
-1 4
0 5
1 4
2 1
Place all ordered pairings on a coordinate plane, and then use a free-hand curve to link them.
The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.
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Answer:
Given
f(x) =–x^2 + 5
Required
Graph the function
Explanation
Step 1: Find the value of the function for the values of x = -2, -1, 0, 1, 2:
Step 2: Now, we have 5 points with which we can plot the graph:
Step 3: Plot the points and graph the function:
That is the graph of the function.
rite an expression that looks like sarah’s expression: 5(2j 3 j). replace the coefficients so that your expression is not equivalent. you may use any number that you choose to replace the coefficients. be sure to leave the variables the same. for example, 8(3j 7 3j) looks like sarah’s expression but is not equivalent.
The expressions are not equivalent, even though they look similar.
Sarah's expression is 5(2j + 3j), which simplifies to 5(5j) or 25j.
To write an expression that looks like Sarah's expression but is not equivalent, we can use any other set of coefficients that multiply the same sum of terms. For example:
3(2j + 3j)
This expression has the same form as Sarah's expression (a coefficient multiplied by the sum of two terms involving the variable j), but the coefficient 3 is different from the coefficient 5 in Sarah's expression. Therefore, the expressions are not equivalent, even though they look similar.
Note that when we say two expressions are equivalent, we mean that they have the same value for all possible values of the variable j. In this case, the expression 5(2j + 3j) is equivalent to 25j because they have the same value for all possible values of j. However, the expression 3(2j + 3j) is not equivalent to 25j because it has a different value for some values of j.
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A forest contains 24 elk, of which, 8 are captured, tagged, and released. a certain time later, 4 of the 24 elk are captured. what is the probability that 3 of these 4 have been tagged?
The probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053.
To solve this problemWe can use the concept of combinations.
The total number of ways to choose 4 elk out of 24 is given by the combination formula:
C(24, 4) = 24! / (4!(24-4)!) = 10,626
Now, we need to consider the number of ways to choose 3 tagged elk out of the 8 tagged elk and 1 untagged elk. The number of ways to do this is given by:
C(8, 3) * C(1, 1) = 8! / (3!(8-3)!) * 1! / (1!(1-1)!) = 56
Therefore, the probability that 3 out of the 4 captured elk have been tagged is:
P = (Number of ways to choose 3 tagged elk out of 8 tagged elk and 1 untagged elk) / (Total number of ways to choose 4 elk out of 24)
P = 56 / 10,626
Calculating this division gives us the probability:
P ≈ 0.0053
So, the probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053 .
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Please help the picture is there!
Answer: A
Step-by-step explanation:
r = j + 3
We subtitube r to find j,
r = 9 j = 9 + 3 = 12
r = 15 j = 15 + 3 =18
r = 21 j = 21 + 3 = 24
And we found A as answes.
Answer:
CStep-by-step explanation:
r = j + 3 ⇒ j = r - 3Table C is the correct one
r = 9 ⇒ j = 6r = 15 ⇒ j = 12r = 21 ⇒ j = 18The results of a study are said to be replicable when which of the following is true?
Researchers using new subjects come to the same conclusion
When the p-value is less than the significance level
It is both statistically significant and meaningful.
Statistics are knowable, but parameters are typically unknown
The results of a study are said to be replicable when researchers using new subjects come to the same conclusion. Replicability is important in research as it ensures the validity and reliability of the study findings.
The results of a study are said to be replicable when researchers using new subjects come to the same conclusion. Replicability is an important aspect of scientific research because it ensures that the findings are not simply a result of chance or bias. If a study cannot be replicated, it may be difficult to draw firm conclusions or generalize the findings to a broader population. However, it is important to note that replicability does not guarantee that the study is both statistically significant and meaningful.
A study may be replicable but still have limited practical or theoretical value. The p-value and significance level are important measures of statistical significance, but they do not necessarily indicate replicability. Finally, while statistics are knowable, parameters (such as population mean or variance) are typically unknown and must be estimated from the sample data.
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if a = (a l i ve) and b= (a c t) then what is a-b
A-B=(a p I v e) -(a c t)
=(p l v e) is the correct answer
Given the following sections: 1 Hour, 33 Minutes, 19 Seconds Station 2+020 Station 2+080 Base for cut =12 m, Sideslope for cut = 1.5:1 Base for fill =12 m, Sideslope for fill = 2:1 Required: 1. What is the stationing of the end of excavation? 2. Find the volume of fill by end area method. 3. Compute the volume of excavation by end area.
The stationing of the end of the excavation is Station 2+080.
The volume of fill by end area method is 1440 cubic meters.
The volume of excavation by end area is 1080 cubic meters.
We have,
The stationing of the end of excavation can be determined by adding the given sections to the starting station.
Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).
To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.
Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:
Area of end section = (Base for fill) * (Sideslope for fill)
Area of end section = 12 * (2/1) = 24 square meters
Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:
Volume of fill = Area of end section * Distance
Volume of fill = 24 * 60 = 1440 cubic meters
Therefore, the volume of fill by end area method is 1440 cubic meters.
Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:
Area of end section = (Base for cut) * (Sideslope for cut)
Area of end section = 12 * (1.5/1) = 18 square meters
Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:
Volume of excavation = Area of end section * Distance
Volume of excavation = 18 * 60 = 1080 cubic meters
Therefore, the volume of excavation by end area is 1080 cubic meters.
Thus,
The stationing of the end of the excavation is Station 2+080.
The volume of fill by end area method is 1440 cubic meters.
The volume of excavation by end area is 1080 cubic meters.
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The ratio of red counters to green counters in a bag is 3:17. What percentage of the counters are red
Answer:
0.15%
Step-by-step explanation:
red is 3
the total is 20
percentage of red counters = 3 ÷ 20 = 0.15%
Which of the following equations is not linear?
y=x+4
x = 7
-0.5X = y
y=x
Answer:
x=7 is not linear because its just an equation
what is 5% of 69.9 plz help me out like if your grade was a 69.9 what will 5% bring down the 69.9 to
Answer: 69.9 - 5 = 64.9
Step-by-step explanation:
Have an awesome day :D
Statistical analyses are least likely to be found in a. applied research b. basic research c. field research d. qualitative research
Statistical analyses are least likely to be found in a (D) qualitative research.
What is qualitative research?Data from first-hand observation, interviews, questionnaires (on which participants write descriptively), focus groups, participant-observation, recordings recorded in natural settings, documents, case studies, and artifacts are used in qualitative research. The information is mostly nonnumerical. Ethnography, grounded theory, discourse analysis, and interpretative phenomenological analysis are examples of qualitative approaches. Sociology, anthropology, political science, psychology, social work, and educational research have all used qualitative research methods. Qualitative researchers investigate people's perceptions of their social reality.A qualitative study is unlikely to contain statistical analyses.Therefore, statistical analyses are least likely to be found in a (D) qualitative research.
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The ages of 12 runners in a recent marathon are listed.
35, 17, 34, 14, 28, 20, 18, 15, 14, 19, 17, 31
Find the median and interpret its meaning as it relates to the runners.
The median is 18.5, and it represents the typical age of the runners.
The median is 20.5, and it represents the typical age of the runners.
The median is 21.5, and it represents the difference in the lowest and highest ages of runners.
The median is 23.5, and it represents the difference in the lowest and highest ages of runners.
The median is 18.5, and it represents the typical age of the runners.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given ages of 12 runners in a recent marathon are listed.
35, 17, 34, 14, 28, 20, 18, 15, 14, 19, 17, 31
Let us arrange the numbers in ascending order
14, 14, 15, 17, 17, 18, 19, 20, 28, 31, 34, 35
The middle most terms are 18 and 19
18+19/2
37/2
18.5
Hence, the median is 18.5, and it represents the typical age of the runners.
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Molly bought 2 packs of pens and a notebook for $11. The notebook cost $3. Each pack of pens costs the same amount. What is the price of one pack of pens?
Answer:
Step-by-step explanation:
minus 3 from 11 u get 8 half of that is
Answer:
Each pack of pens cost $4.
Step-by-step explanation:
11-3=8
8/2=4
Each pack of pens costs $4
CHECK:
2x4=8
3+8=11
;)
YOOOOO I NEED HELP QUESTION ON PICTURE !!!!!!!!!!
Answer:
Y intercept is -5
Step-by-step explanation:
It is negative five because it goes through the y axis at -5
A hollow metal sphere has a radius 0f 5.00 cm. if an excess charge of 30.0 μc resides on the sphere, what is the electric potential 10.0 cm from the surface of the sphere?
The electric potential 10.0 cm from the surface of the sphere is 2.7 × 10^5 V.
The electric potential 10.0 cm from the surface of the sphere can be found using the formula for electric potential due to a point charge:
V = kQ / r
Where V is the electric potential, k is Coulomb's constant (9 × 10^9 Nm^2/C^2), Q is the charge on the sphere (30.0 μc or 3.0 × 10^-5 C), and r is the distance from the surface of the sphere (10.0 cm or 0.1 m).
Plugging in the values, we get:
V = (9 × 10^9 Nm^2/C^2) × (3.0 × 10^-5 C) / (0.1 m)
V = 2.7 × 10^5 V.
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Which figures are polygons?
Answer: A,C,D
Step-by-step explanation:
Answer:
pretty sure it's a, c, and d
Step-by-step explanation:
polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.
This scatter plot shows the relationship between the amount of time, in hours, spent working on an essay and the grade, as a percent, earned.
The y-intercept of the estimated line of best fit is at (0, b).
Enter the approximate value of b.
Answer:
8
Step-by-step explanation: