Answer:
Step-by-step explanation:
We can simplify the expression by factoring out a common factor of 5^1999 from the numerator:
5^2000 + 5^1999
= 5^1999(5 + 1)
= 5^1999(6)
And we can also factor out a common factor of 5^1997 from the denominator:
5^1999 - 5^1997
= 5^1997(5^2 - 1)
= 5^1997(24)
So the entire expression simplifies to:
(5^2000 + 5^1999) / (5^1999 - 5^1997)
= (5^1999 * 6) / (5^1997 * 24)
= (6/24) * 5^2
= 5/2
Therefore, the value of the expression is 5/2.
what is the sum of all integer values of $x$ such that $\frac{31}{90} < \frac{x}{100} < \frac{41}{110}$ is true?
Five people, A,B,C,D, and E want to line up and take a group photo. However, A and B must stand next to each other since they are a couple. Then, what is the total number of ways they can line up?
In the following question, among the conditions given,To determine the total number of ways five people, A, B, C, D, and E, can line up with the condition that A and B must stand next to each other since they are a couple, we can apply the concept of "permutations." option A, 48, is the correct answer.
Permutations refer to the number of ways that objects can be arranged in a particular order. It is calculated using the formula P(n, r) = n!/(n-r)!, where n represents the total number of objects and r represents the number of objects to be arranged. According to the question, A and B must stand next to each other, so they can be treated as a single entity. Therefore, we have four entities: AB, C, D, and E. We can arrange these four entities in 4! = 24 ways. However, A and B can switch positions among themselves, so each of these 24 arrangements can be arranged in 2 ways. Thus, the total number of ways that five people, A, B, C, D, and E, can line up with the condition that A and B must stand next to each other is 24 × 2 = 48 ways. Therefore, option A, 48, is the correct answer.
For more such questions on permutations
https://brainly.com/question/1216161
#SPJ11
in a large population 54% of the people hav been vaccinated 3 people are randomly selected what is the probability that at least one of them has been vaccinated
The probability that at least one of the three people has been vaccinated is 92.8%.
Step-by-step explanation: Given, In a large population, 54% of the people have been vaccinated. Then, the probability that one person has been vaccinated is 54/100 = 0.54.
The probability that one person has not been vaccinated is 1 - 0.54 = 0.46. The probability that all three people have not been vaccinated is (0.46)³ = 0.097336. The probability that at least one person has been vaccinated is 1 - 0.097336 = 0.902664. Hence, the probability that at least one of the three people has been vaccinated is 92.8%.
See more about probability at: https://brainly.com/question/13604758
#SPJ11
(24p- 10) + (-22p - 2)
Answer:
2p - 12
Step-by-step explanation:
(24p - 10) + (-22p - 2)
24p - 10 - 22p - 2
2p - 12
So, the answer is 2p - 12
apply the triangle inequality theorem to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2. list them in ascending order.
By applying the triangle inequality theorem, the possible whole number measures of the third side in ascending order, are 5, 6, and 7.
The Triangle Inequality Theorem is a theorem that states that the sum of the lengths of two sides of a triangle is greater than the length of the third side.
We can use the triangle inequality theorem to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2.
The Triangle Inequality Theorem can be written as:
a + b > c where a, b, and c are the sides of a triangle. If a = 6 and b = 2, then the inequality is:
6 + 2 > c
8 > c
So, the third side must be less than 8 units long. On the other hand, the length of the third side must be greater than the difference between the lengths of the other two sides. So, we can set up another inequality:
6 - 2 < x
Simplifying, we get:
4 < x
So, the length of the third side must be greater than 4 units long.
Therefore, applying the triangle inequality theorem, the possible whole number measures of the third side of the triangle are the integers from 5 to 7, inclusive.
So, the list of possible whole number measures of the third side in ascending order is 5, 6, and 7.
To know more about the "triangle inequality theorem" :https://brainly.com/question/309896
#SPJ11
Help with geometry with rhombus. Given rhombus ABCD with m
For the given rhombus the value of x = 3/2 and the measure of angle EAB and angle EBA = 2.5 degrees.
What is a rhombus?A rhombus is a specific instance of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus. Rhombi or rhombuses are the plural forms of rhombus.
The adjacent angles of a rhombus are supplementary, and diagonals bisect the angles.
Using this property we have:
2(7x - 8) + 2(3x - 2) = 180
14x - 16 + 6x - 4 = 180
20x - 20 = 180
x = 180/20
x = 9
Substituting the value of x:
angle EAB = 7(9) - 8 = 55
angle EBA = 3(9) - 2 = 25
Hence, the value of x = 9 and the measure of angle EAB = 55 degrees and angle EBA = 25 degreed.
Learn more about rhombus here:
https://brainly.com/question/9637480
#SPJ1
HELP PLEASE … Assuming the input of energy continues for another 2.5 seconds, where will the particle be?
A) cannot be determined
B) positive maximum
C) negative maximum
D) equilibrium
Answer:
To determine the position of a particle given the input of energy, we need to know the type of energy input and the initial position and velocity of the particle. Without this information, we cannot determine the position of the particle after 2.5 seconds.
Therefore, the answer is A) cannot be determined.
Step-by-step explanation:
ABOVE
Use the table to answer the following question. The table shows pairs of values for a linear function. A different function is defined by the equation y = 4x. Which of the following statements is TRUE? The functions both have a slope of 4. The functions are both proportional. The functions have opposite slopes. The functions both have a y-intercept of 4.
A statement which is true include the following: C. The functions have opposite slopes.
What is the slope-intercept form?In Mathematics, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept, y-intercept or initial number.Based on the information provided above, an equation that models one of the function is given by;
y = 4x
mx = 4x
Slope, m = 4.
For the other function, the slope can be calculated as follows;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 - 4)/(1 - 0)
Slope (m) = -4/1
Slope (m) = -4.
Read more on slope-intercept here: brainly.com/question/7889446
#SPJ1
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem. (Round your answer to four decimal places.) y' = x^2 + xy y(0) = 4
By using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429.
The Euler's method is used to estimate a numerical solution of a first-order differential equation. The formula of Euler's method is given by:
y_1 = y_0 + hf(x_0, y_0)
Where: y_1 is the next value of y after one iterationy
0 is the initial value of yy' = f(x, y)h is the step size
This method is an iterative procedure that advances the estimate of y by one step by approximating the curve using a tangent line at each point along the curve.
Given that y(0) = 4 and h = 0.2, we can use Euler's method to estimate y(1) where y(x) is the solution of the initial-value problemy' = x2 + xy, y(0) = 4
Using Euler's method with a step size of 0.2, we get:
1) When x = 0, y = 4
y_1 = y_0 + hf(x_0, y_0) = 4 + 0.2(0 + 4(0))= 4.02
When x = 0.2, y = 4.02
y_2 = y1 + hf(x_1, y_1) = 4.02 + 0.2(0.2^2 + 0.2(4.02))= 4.10523
When x = 0.4, y = 4.1052
y_3 = y_2 + hf(x_2, y_2) = 4.1052 + 0.2(0.4^2 + 0.4(4.1052))= 4.1994144
When x = 0.6, y = 4.1994
4 = y_3 + hf(x_3, y_3) = 4.1994 + 0.2(0.6^2 + 0.6(4.1994))= 4.3032545
When x = 0.8, y = 4.3033
y_5 = y_4 + hf(x_4, y_4) = 4.3033 + 0.2(0.8^2 + 0.8(4.3033))= 4.4174496
When x = 1, y = 4.4174
y_6 = y_5 + hf(x_5, y_5) = 4.4174 + 0.2(1^2 + 1(4.4174))= 4.5429404
Therefore, using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429 (rounded to four decimal places).
To know more about Euler's method: https://brainly.com/question/14286413
#SPJ11
Winning the jackpot in a particular lottery requires that you selet the correct four numbers between 1 and 59 and, in a separate drawing, you must also select the correct single number between 1 and 41. Find the probability of winning the jackpot.
The probability of winning the jackpot is __ .
The probability of selecting the correct four numbers out of 59 is solved by the formula :
P(4 correct numbers) = (number of ways to choose 4 correct numbers) / (total number of possible 4-number combinations)
The total number of possible 4-number combinations out of 59 is:
C(4,59) = (59 choose 4) = 190,578
P(jackpot) = P(4 correct numbers) * P(1 correct number)
P(jackpot) = 1/41
thus, the probability of winning the jackpot in this particular lottery is 1/41.'
To learn about probability visit:
https://brainly.com/question/16484393?referrer=searchResults
#SPJ4
In a first-order model with two predictors x1 and x2, an interaction term may be used when the:
a) relationship between the dependent variable and the independent variables is linear.
b) effect of x1 on the dependent variable is influenced by x2.
c) effect of x2 on the dependent variable is influenced by x1.
d) both b and c.
When the effects of x1 and x2 on the dependant variable are influenced by each other in a first-order model with two predictors, x1 and x2, an interaction term may be utilised. The right response is d) both b and c.
A first-order model is a linear equation that involves only one dependent variable and one independent variable. In other words, the equation represents the linear relationship between two variables. The equation can be defined as
Y = β0 + β1X,
where
Y is the dependent variable,
X is the independent variable,
β0 is the y-intercept, and
β1 is the slope of the line.
When attempting to predict the dependant variable based on the independent variable and a linear relationship between them, the first-order model is helpful.
An interaction term is added to a first-order model with two predictors when the effect of x1 on the dependent variable is influenced by x2 as well as the effect of x2 on the dependent variable is influenced by x1. Therefore, the correct answer choice is d) both b and c.
You can learn more about first-order model at
https://brainly.com/question/15585829
#SPJ11
a grade g1 of 3.50% intersects grade g2 of -2.50% and an equal-tangent curve is desired. a two-way road with a design speed is 65 mph. what is the minimum length the curve must have, to comply with stopping sight distance requirements? (assume you can use the k tables for 0%).
Grade g1 = 3.50% Grade g2 = -2.50% Design speed = 65 mph. The minimum length the curve must have, to comply with stopping sight distance requirements? The minimum length the curve must have, to comply with stopping sight distance requirements is 196.5 ft or 59.88 m.
`Stopping Sight Distance (SSD) The stopping sight distance (SSD) is the minimum distance a vehicle operator needs to be able to see ahead of the vehicle to bring it to a stop before colliding with an object in its path.The minimum stopping sight distance is given by the following equation: SSD = 0.278Vt + V^2/254f + 1.47W. Where,SSD = stopping sight distance, Vt = total stopping distance, V = design speed, W = width of traveled way, and f = friction factor.To comply with stopping sight distance requirements, the stopping sight distance (SSD) must be equal to or greater than the minimum SSD. K-tables for 0% can be used to determine the minimum SSD. Minimum SSD = SSD min = K x V. Where, SSD min = minimum stopping sight distance, V = design speed, K = adjustment factor from the table. We need to find the minimum length of the curve that meets the stopping sight distance requirements.Here, it is required to design a curve that is the combination of two tangents with an intersection angle of 60° and a length sufficient to maintain an SSD value equal to or greater than the minimum value.Curve length formula:L = (a+b)/sin(θ/2)Where,L = length of curve, a = length of first tangent, b = length of second tangent, and θ = intersection angle L = (a + b) / sin (θ / 2)L = (V^2 / 254f x (Kg1 + Kg2) ) / sin (θ / 2)Length of first tangent, a = V x (1.47 + 0.278Kg1) Length of second tangent, b = V x (1.47 + 0.278Kg2) Intersection angle θ = 60° Friction factor f = 0.35 (for asphalt surface)The adjustment factor from the table for 0% = 0.03. So, we have:Length of first tangent, a = 1.47 x 65 + 0.278 x 65 x 3.5. Length of first tangent, a = 113.1. Length of second tangent, b = 1.47 x 65 + 0.278 x 65 x (-2.5). Length of second tangent, b = 105.9L = (V^2 / 254f x (Kg1 + Kg2) ) / sin (θ / 2)L = (65^2 / (254 x 0.35 x (0.03 x (3.5 + (-2.5))))) / sin (60 / 2)L = 196.5 ft = 59.88 m.
For more questions on stopping sight distance
https://brainly.com/question/2444691
what do you mean by arithmetic series?
Answer:
The sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ). It is called the arithmetic series formula.
Step-by-step explanation:
An arithmetic series is the sum of the terms in an arithmetic sequence with a definite number of terms. Following is a simple formula for finding the sum: Formula 1: If S nrepresents the sum of an arithmetic sequence with terms , then. This formula requires the values of the first and last terms and the number of terms.
Please mark me as Brainliest if possible! Thank you :)
by rounding both numbers to 2dp approximate an answer to 0.028 x 0.043
Answer:0.001204
Step-by-step explanation:
0.028x0.043
Please help me with the following questions I will give brainiest
The exponential equation that fits the provided point distribution is [tex]y = 5(2)^x[/tex] . Thus, option A is correct.
What do exponential equations work?An exponential equation is one in which the exponent contains a variable.
For instance, the exponential equation [tex]y = 5x[/tex] has the variable x as the exponent (also known as "5 to the power of x"),
whereas, the exponential equation y = x5 has the number 5 as the exponent instead of a variable, making the latter equation not exponential.
If we calculate the initial differences, we can determine the exponential equation that corresponds to the given pattern of points as follows:
[tex](2-1) = 5[/tex]
[tex](3-2) = 10[/tex]
[tex](4-3) = 20[/tex]
If we calculate the second differences, we obtain:
[tex](10-5) = 5[/tex]
[tex](20-10) = 10[/tex]
The fact that the second differences are constant shows that the exponential equation's coefficient is 5.
Therefore, The exponential equation that fits the provided point distribution is [tex]y = 5(2)^x[/tex] .
Learn more about exponential here:
https://brainly.com/question/29506679
#SPJ1
Water is being poured into a large, cone-shaped
cistern. The volume of water, measured in cm³, is
reported at different time intervals, measured in
seconds. A regression analysis was completed and is
displayed in the computer output.
In response to the stated question, we may state that The coefficient equation of -1.327 indicates that the amount of water in the cistern declines at an exponential rate as time passes.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
The least-squares regression line has the following equation:
2.993 - 1.327 In(Volume)* (Time)
The link between the natural logarithm of water volume and the natural logarithm of time is illustrated by this equation. The coefficient of -1.327 indicates that the amount of water in the cistern declines at an exponential rate as time passes.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
The simple exponential smoothing model can be expressed asA)a simple average of past values of the data
.B)an expression combining the most recent forecast and actual data value. ***
C)a weighted average, where the weights sum to zero.
D)a weighted average, where the weights sum to the sample size.
E)None of the above.
The simple exponential smoothing model can be best described as (B) "an expression combining the most recent forecast and actual data value". B is the correct answer.
Simple exponential smoothing is a time series forecasting technique that creates predictions using a weighted average of previous observations. As the observations get older, the weights decrease exponentially. The forecast for the next period is created by fusing the most recent forecast with the most recent actual data value using the smoothing parameter alpha. This can be mathematically stated as:
F_t+1 = αY_t + (1-α)F_t
where F_t is the forecast for period t, Y_t is the actual value for period t, α is the smoothing parameter, and F_t+1 is the forecast for period t+1.
Option B is the correct answer.
You can learn more about Simple Exponential Smoothing (SES) at
https://brainly.com/question/14783222
#SPJ11
Decrease R450 in the ratio 9:8
Step-by-step explanation:
9+8=17
for ratio 9: 9/17 * 450=R238.24
for ratio 8: 8/17* 450= R211.17
3. A triangle has side of 5, angle of 85*, and an angle of 40
Triangle
The length of the side opposite the 85° angle is approximately 7.75 units.
How to determine the side length opposite the angleTo solve this problem, we can use the law of sines, which states that for any triangle ABC:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the side lengths of the triangle opposite the angles A, B, and C, respectively.
In this case, we know the side length b = 5 and the angles A = 85° and B = 40°.
Let's call the unknown side length opposite the angle A as a.
Then, we have:
a/sin(85°) = 5/sin(40°)
Multiplying both sides by sin(85°), we get:
a = 5*sin(85°)/sin(40°)
Using a calculator, we get:
a ≈ 7.75
Therefore, the side length opposite the angle of 85 degrees is
Read more about law of sines at
https://brainly.com/question/4372174
#SPJ1
Complete question
A triangle has side of 5, angle of 85*, and an angle of 40 opposite the side length of 5. What is the length of the side opposite the 85° angle?
Find the surface area of the rectangular prism.
6 km
4 km
4 km
Answer: 88km is your answer
Step-by-step explanation: We just had this on a test
Compute the measure of the angle between 0 and 360 degrees swept counterclockwise from 3 o'clock position on the unit circle whose terminal ray intersects the circle at the point with given y-coordinate and in the given quadrant. a. D 05 in Quadrant I degrees Preview 6 in Quadrant II Preview egrees Preview uadrant I degreesPreview License Points possible: 1 Unlimited attempts. Submit
The angle between 0 and 360° swept counterclockwise from the 3 o'clock position on the unit circle is 33.69°.
For point D with a y-coordinate 0.5 in Quadrant I, we can use the trigonometric functions to find the angle it makes with the positive x-axis. Since the point is on the unit circle, we have:
x^2 + y^2 = 1
Substituting y = 0.5, we get:
x^2 + (0.5)^2 = 1
x^2 = 1 - (0.5)^2
x = ±√(1 - 0.25)
x = ±√0.75
Since the point is in Quadrant I, we know that x is positive. Therefore, x = √0.75. Now, we can use the inverse tangent function to find the angle θ that the point makes with the positive x-axis:
θ = tan^(-1)(y/x)
θ = tan^(-1)(0.5/√0.75)
θ ≈ 33.69°
Since the point is in Quadrant I, the angle swept counterclockwise from the 3 o'clock position is simply θ:
Angle = 33.69°
To know more about the "swept counterclockwise": https://brainly.com/question/30147251
#SPJ11
select the acceptable conclusions to a hypothesis test. the value of the test statistic does not lie in the rejection region. therefore, there is insufficent evidence to suggest that the null hypothesis is false. the value of the test statistic lies in the rejection region. therefore, there is sufficient evidence to suggest that the alternative hypothesis is true. the value of the test statistic lies in the rejection region. therefore, there is sufficient evidence to suggest that the null hypothesis is not true. the value of the test statistic does not lie in the rejection region. therefore, there is sufficient evidence to suggest that the null hypothesis is true. the value of the test statistic does not lie in the rejection region. therefore, we accept the null hypothesis.
The acceptable conclusions of a hypothesis test depend on the test and significance level. If the test statistic falls outside the rejection region, there's insufficient evidence to reject the null hypothesis. If it falls within, there is sufficient evidence to support the alternative hypothesis. The statement is true.
However The acceptable conclusions to a hypothesis test depend on the specific test and the chosen significance level, in general:
The value of the test statistic does not lie in the rejection region. Therefore, there is insufficient evidence to suggest that the null hypothesis is false: This statement is correct. If the test statistic falls outside of the rejection region, we fail to reject the null hypothesis at the given significance level. However, this does not mean that the null hypothesis is true, only that we do not have enough evidence to reject it. The value of the test statistic lies in the rejection region. Therefore, there is sufficient evidence to suggest that the null hypothesis is not true: This statement is also correct. If the test statistic falls within the rejection region, we reject the null hypothesis at the given significance level and conclude that the alternative hypothesis is more likely to be true.Therefore, the acceptable conclusions to a hypothesis test are:
The value of the test statistic does not lie in the rejection region. Therefore, there is insufficient evidence to suggest that the null hypothesis is false. The value of the test statistic lies in the rejection region. Therefore, there is sufficient evidence to suggest that the null hypothesis is not true.The main point of the answer is that the acceptable conclusions to a hypothesis test depend on the specific test and chosen significance level, but generally, if the test statistic falls outside the rejection region, there is insufficient evidence to reject the null hypothesis, and if it falls within the rejection region, there is sufficient evidence to reject the null hypothesis and support the alternative hypothesis.
To learn more alternative hypothesis:
https://brainly.com/question/26185548
#SPJ11
A package is delivered 3 hours 25 minutes after it is collected, it is collected at 15:39
at what time is the package delivered
Given the data in the question we calculate that the package is delivered at 18:44.
If the package is collected at 15:39 and delivered 3 hours and 25 minutes later, we can add that amount of time to the collection time to find the delivery time.
First, we need to convert 3 hours and 25 minutes to just minutes. To do this, we multiply 3 by 60 (to convert hours to minutes) and then add 25:
3 hours and 25 minutes = (3 × 60) + 25 = 185 minutes
Now we can add 185 minutes to the collection time of 15:39:
15:39 + 185 minutes = 18:44
Therefore, the package is delivered at 18:44. The delivery time of a package is the time it takes for the package to be transported from the sender to the receiver. In this case, the package was collected at 15:39 and delivered 3 hours and 25 minutes later. To find the delivery time, we added the duration of 3 hours and 25 minutes to the collection time. It is important to keep track of delivery times to ensure timely and efficient shipping, especially for time-sensitive or perishable items. Timely delivery is crucial for businesses that rely on shipping to meet customer expectations and maintain customer satisfaction.
To learn more about amount of time click here
brainly.com/question/29823316
#SPJ4
Find the value of tan � N rounded to the nearest hundredth, if necessary.
After solving the given problem the value of tan N rounded to the nearest hundredth is 0.95.
What is trignometry?Trigonometry is the branch of mathematics that deals with the relationships between the sides and angles of the triangles.
It is used to calculate distances, heights, and angles, and is used extensively in fields such as engineering, physics, and architecture.
We can use the tangent function to find the value of tan N in the right triangle LMN.
tan N = ML/MN
We know that MN = 6 and ∠LMN is 90°, so we can use the Pythagorean theorem to find ML:
NL² = ML² + MN²
√77² = ML² + 6²
77 = ML² + 36
ML²= 77 - 36
ML² = 41
ML = √41
Now we can substitute the values for ML and MN into the equation for tangent:
tan N = ML/MN = (√41)/6
Using a calculator, we can evaluate this expression and round to the nearest hundredth:
tan N ≈ 0.95
To know more about tangent visit:
https://brainly.com/question/23185930
#SPJ1
The complete question is given below.
Megan's standard pay is £17.70 per hour. She gets paid 1.5 times this rate for working overtime. How much will Megan get paid for working 11 hours of overtime? Give your answer to the nearest pound.
Answer:
Step-by-step explanation:
Overtime Rate = [tex]17.70 \times 1\frac{1}{2}[/tex]
[tex]= 17.70 \times \frac{3}{2}[/tex]
[tex]=\frac{53.10}{2}[/tex]
[tex]=\pounds26.55[/tex]
Pay [tex]=11*26.55=\pounds 292.05[/tex] (I assume you can use a calculator for this)
Solution: [tex]\pounds 292[/tex]
What true statement can be made about the data distributions shown in the box-and-whisker plots below(attached image)
A
Box 1 is negatively skewed, and Box 2 is symmetric
B
Box 1 is negatively skewed, and Box 2 is positively skewed
C
Box 1 is positively skewed, and Box 2 is negatively skewed
D
Box 1 is positively skewed, and Box 2 is symmetric.
The statement "Box 1 is negatively skewed, and Box 2 is symmetric" is true.
Looking at shown the box-and-whisker plots, we can make the following observations:
Box 1 has a longer whisker on the left side than on the right side, which indicates that the data is skewed to the left.
Therefore, Box 1 is negatively skewed.
Box 2 has whiskers that are approximately the same length on both sides, which indicates that the data is symmetric.
Therefore, Box 2 is symmetric.
Based on these observations, we can conclude that:
A) Box 1 is negatively skewed, and Box 2 is symmetric.
Therefore, the correct answer is A.
To learn more about the box and whisker plot click here:
https://brainly.com/question/11859288
#SPJ12
The missing figure is attached below.
8. A department store
buys 300 shirts for
a total cost of $7,200 and sells them for
$30 each. Find the percent markup.
The percent markup is 25%.
What is percent markup?Markup percentage is calculated by dividing the gross profit of a unit (its sales price minus it's cost to make or purchase for resale) by the cost of that unit.
Given that, A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each.
Cost of one shirt [tex]= 7200 \div 300 = \$24[/tex]
And they sold at $30 each,
Percent markup [tex]= 30-24 \div 24 \times 100[/tex]
[tex]= 25\%[/tex]
Hence, the percent markup is 25%.
Learn more about Markup percentage, click:
https://brainly.com/question/28945726
a 3-digit pin number is selected. what it the probability that there are no repeated digits? the probability that no numbers are repeated is
The probability that no numbers are repeated = [tex]\frac{720}{1000}=0.72[/tex]
The probability that there are no repeated digits in a 3-digit pin number is 0.72.
Formula used:
[tex]P(n,r)=\frac{n!}{(n-r)!}\\ Probability=\frac{Number of favourable outcomes}{Total number of events in the samples pace}[/tex]
There are 10 digits (0,1,2,3,4,5,6,7,8,9) to choose from.
Therefore, the total number of possible 3-digit pin numbers with no repeated digits is
[tex]P(10,3)=\frac{10!}{(10-3)!}\\P(10,3)= \frac{10!}{7!}\\P(10,3)=720[/tex]
The total number of possible 3-digit pin numbers [tex]= 10 * 10 * 10 = 1000[/tex].
Thus, the probability that no numbers are repeated = [tex]\frac{720}{1000}=0.72[/tex]
Therefore, the probability that there are no repeated digits in a 3-digit pin number is 0.72.
Learn more about probability below
https://brainly.com/question/13604758
Tara and Jack share a sum of money in the ratio 7: 8
Jack got £18 more than Tara.
How much did Tara receive?
Answer:
Step-by-step explanation:
Let's represent the amount of money Tara received by "7x", since the ratio of Tara's share is 7:8. Similarly, let's represent the amount Jack received by "8x".
We know that Jack received £18 more than Tara, so we can set up an equation:
8x - 18 = 7x
Solving for x, we get:
x = 18
Now we can find Tara's share by substituting x into our expression for Tara's share:
7x = 7(18) = £126
Therefore, Tara received £126.
a college administrator would like to determine how much time students spend on homework assignments during a typical week. a questionnaire is sent to a sample of n=100 student and their response indicates a mean of 7.4 hours per week and standard deviation of 3hours
Based on the information given, the college administrator has collected a sample of n=100 students and obtained the following statistics: Mean: 7.4 hours per week Standard deviation: 3 hours
Why it is?
These statistics can be used to estimate the average amount of time that all students spend on homework assignments during a typical week, as well as to assess the variability in the data.
To estimate the population mean, the sample mean can be used as an unbiased estimator. This means that the sample mean of 7.4 hours per week is likely a good estimate of the true population mean. However, there is always some uncertainty associated with this estimate due to the fact that it is based on a sample.
To quantify the variability in the data, the standard deviation can be used. A standard deviation of 3 hours indicates that there is a relatively large amount of variability in the amount of time that students spend on homework assignments. Some students may spend significantly more or less time on homework than the average of 7.4 hours per week.
Overall, the college administrator can use this information to gain insights into the amount of time that students spend on homework assignments and to make informed decisions based on this knowledge.
To know more about Statistics related questions, visit:
https://brainly.com/question/29093686
#SPJ1