The standard deviation is 1.87.
suppose that any given day in march, there is 0.3 chance of rain, find standard deviation
Given that any given day in March, there is a 0.3 chance of rain.
We are to find the standard deviation. The standard deviation can be found using the formula given below:σ = √(npq)
Where, n = total number of days in March
p = probability of rain
q = probability of no rain
q = 1 – p
Substituting the given values,n = 31 (since March has 31 days)p = 0.3q = 1 – 0.3 = 0.7Therefore,σ = √(npq)σ = √(31 × 0.3 × 0.7)σ = 1.87
Hence, the standard deviation is 1.87.
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Deshawn and tyriq can weed their garden in 303030 minutes together. alone, it takes tyriq 757575 minutes to weed the garden. how long does it take deshawn to weed the garden alone?
Time taken by Deshawn alone to weed the garden is can be found using rate of work.
What is Rate?We use the term "Rate" to describe the comparison and ratio of two separate quantities.
Time taken by Deshawn and Tyriq to weed is 303030 minutes
Time taken by Tyriq is 757575 minutes
Let the time taken by Deshawn alone be 't'
The rate of Deshawn and Tyriq together=\(\frac{1}{303030}\) per minute
The rate of Tyriq=\(\frac{1}{757575}\) per minute
The rate of Deshawn=\(\frac{1}{t}\) per minute
Rate of Deshawn and Tyriq=rate of Tyriq + Rate of Deshawn
\(\frac{1}{303030}=\frac{1}{757575}+\frac{1}{t}\)
\(\frac{1}{t} =\frac{1}{303030}-\frac{1}{757575}\)
\(\frac{1}{t}=\frac{757575-303030}{757575\times 303030}\)
\(\frac{1}{t}=\frac{454545}{757575\times 303030}\)
\(t=\frac{757575\times 303030}{454545}\)
t=505050 minutes
Time taken by Deshawn alone is 505050 minutes.
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Answer: 50
Step-by-step explanation: i answered the question
Three companies Benfel Ltd, Cromwell Ltd and Samtec Ltd were recently launched in the Kenyan market. The companies have operated in the Kenyan market for a few months now. At the beginning of the month of August 2019, a survey on monthly brand switching behavior was conducted on a representative sample among customers of the three companies. The survey revealed that Benfel Ltd retains 70% of its customers and loses 20% to Cromwell Ltd and 10% to Samtec Ltd. Similarly, Cromwell Ltd retains 60% of its customers and loses 30% to Benfel Ltd and 10% to Samtec Ltd. Furthermore, Samtec Ltd retains 50% while it loses 30% to Cromwell Ltd and 20% to Benfel Ltd. It has been determined that there will be 3,500, 4,300 and 2,200 customers shopping with Benfel Ltd, Cromwell Ltd and Samtec Ltd respectively at the start of the month of September 2019.
i. Evaluate the distribution of the sample surveyed as at the beginning month of August 2019. (5 marks)
ii. Compare the long run state of the market amongst the three companies. (5 marks)
Evaluating the distribution sample surveyed and comparing the long run state of the market of the three companies
i) The distribution of sample as at the beginning month of August is :
Benfel limited = 5000 customers
Cromwell Ltd = 7167 customers
Samtec Ltd = 4400 customers
ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customer
i) At the Beginning of the month of August the sample size for each company respectively will be
X * 70/100 = 3500 ∴ x ( sample size at August ) = 5000 ( Benfel )
y * 60/100 = 4300 ∴ y ( sample size at August ) = 7167 ( Cromwell )
z * 50/100 = 2200 ∴ z ( sample size at August ) = 4,400 ( Samtec )
ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customers
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A 3 1/2(mixed number 3 and 1/2) pound container of tomatoes is used to
make salsa. How many containers of salsa can be made if one
container uses 2/3 a pound of tomatoes?
(The picture has the answers)
Answer:
C
Step-by-step explanation:
Total amount of tomatoes ÷ one container of tomatoes = No. of salsa made:
\(3\frac{1}{2}\)÷\(\frac{2}{3}\) = \(\frac{7}{2}\)×\(\frac{3}{2}\) (To change the ÷ sign to ×sign, swap the denominator and the numerator of the second fraction)
= \(\frac{21}{4}\)
= 5\(\frac{1}{4}\)
Which function’s graph has a y-intercept of 1.5?
A. f(x) = 3x + 2 B. f(x) = 1.5(2)x C. f(x) = 1.5(2)x + 1 D. f(x) = 0.5(2)x + 1.5
Answer:
D)
Step-by-step explanation:
for each equation, substitute zero for 'x' and solve for 'y' (this will be the y-int)
A) y-int = 2
B) y-int = 0
C) y-int = 1
D) y-int = 1.5
Please help me!! I don’t get it
Answer:
x=3
Step-by-step explanation:
Solve for x by cross multiplying.
Starting at sea level, a submarine descended at a constant rate to a depth of −3/4 mile relative to sea level in 5/8 minutes.
The submarine continues to descend at the same rate. What is the submarine's depth relative to sea level after the first minute?
The submarine's depth relative to sea level after the first minute is 1.2 miles
How to find the submarine's depth relative to sea level after the first minute?To find the submarine's depth after the first minute, we first need to find the rate at which the submarine descends, r.
The rate at which the submarime descends is r = d/t where
d = submarine's depth and t = time of descent to depth d.Given that submarine descended at a constant rate to a depth of −3/4 mile relative to sea level in 5/8 minutes, we have that
d = -3/4 mile and t = 5/8 minutes.So, substituting these into r, we have
r = d/t
= -3/4 mile ÷ 5/8 min
= -3/4 × 8/5
= -3 × 2/5
= -6/5
= -1.2 mile/min
So, the depth of the submarine after the first minute is given by D = rt where r = rate of descent = -1.2 mile/min and t = time = 1 min
So, substituting these into D, we have
D = rt
= -1.2 mile/min × 1 min
= -1.2 mile
So, the submarine's depth relative to sea level after the first minute is 1.2 miles
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The sample survey showed that 90% of respondents said the Internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally.
Proportion of respondents say Internet has been a good thing for them personally for 95% confidence interval is 0.8412 to 0.9588, or 84.12% to 95.88%.
Sample proportion (p) = 0.90 (90%)
Confidence interval = 95 %
To develop a 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally,
use the formula,
Confidence Interval = sample proportion ± z × standard error
First, calculate the standard error (SE),
which represents the measure of uncertainty in estimating the true population proportion.
The formula for SE is,
SE = √[(p× (1 - p)) / n]
where p is the sample proportion and n is the sample size.
Since the sample proportion is given as 0.90 and no sample size is provided,
Assuming that the sample size is sufficiently large (generally recommended to be at least 30) and using the information,
we can approximate the standard error using the formula,
SE ≈ √[(p × (1 - p)) / n]
Since the sample size is not provided,
Assume a sample size of 100 for demonstration purposes.
SE ≈ √[(0.90 × (1 - 0.90)) / 100]
SE ≈ √[0.09 / 100]
SE ≈ √0.0009
SE ≈ 0.03
The critical value (z) corresponding to a 95% confidence level.
For a standard normal distribution, the critical value for a 95% confidence level is approximately 1.96.
Using the formula for the confidence interval, calculate the lower and upper bounds of the interval,
Lower Bound = p - z × SE
Upper Bound = p + z × SE
Lower Bound = 0.90 - 1.96 × 0.03
⇒Lower Bound = 0.90 - 0.0588
⇒Lower Bound ≈ 0.8412
Upper Bound = 0.90 + 1.96 × 0.03
⇒Upper Bound = 0.90 + 0.0588
⇒Upper Bound ≈ 0.9588
Therefore, 95% confidence interval for proportion of respondents who say Internet has been a good thing for them personally is 0.8412 to 0.9588, or 84.12% to 95.88%.
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Identify the transformation that was applied to this boomerang.
A. Translation
B. Reflection over the x-axis
C. Reflection over the yaxis
D. Rotation about the origin
Answer:
B. Reflection over the x-axis
The transformation that was applied to this boomerang is Reflection over the x-axis.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
A Figure in the graph.
A translation simply shifts a shape up, down, or from side to side without altering the object's overall appearance.
The following equation can be used to reflect a point or line segment: The point (x,y) will be reflected to from the point (x,−y) that is being mirrored over the x-axis.
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.
A transformation known as rotation about the origin revolves or spins a figure (such as a triangle) around the origin point.
Thus, the transformation here is Reflection over the x-axis.
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a normal distribution is observed from the times to complete an obstacle course. the mean is 69 seconds and the standard deviation is 6 seconds. using the empirical rule, what is the probability that a randomly selected finishing time is greater than 87 seconds? provide the final answer as a percent rounded to two decimal places. provide your answer below: $$ %
The probability that a randomly selected finishing time is greater than 87 seconds is 14.08%. This can be calculated using the empirical rule.
The empirical rule states that for any data that is normally distributed, about 68% of the data will fall within one standard deviation of the mean (in this case, within 69 ± 6 seconds). Approximately 95% of the data will fall within two standard deviations (in this case, within 69 ± 12 seconds), and about 99.7% of the data will fall within three standard deviations (in this case, within 69 ± 18 seconds).Given the mean and standard deviation given, we can calculate the probability that a randomly selected finishing time is greater than 87 seconds.
We can do this by subtracting the area under the curve from the mean to the value we are interested in (in this case, 87 seconds). Since the total area under the curve is 1, subtracting the area from the mean to 87 seconds will give us the desired probability.To calculate the area under the curve, we need to calculate the Z-score, which is the number of standard deviations away from the mean a particular value is. In this case, the Z-score is (87 - 69) / 6, which is 2.16. Using a Z-table, the probability of a Z-score of 2.16 or higher is 0.8592. Therefore, the probability that a randomly selected finishing time is greater than 87 seconds is 1 - 0.8592, which is 0.1408. Rounding to two decimal places, this is 14.08%.
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HELP!!!!!!
Which of the following expressions can be used to calculate the circumference of a circle?
Answer:
Circumference of the Circle is 2π(radius)= 2πr
Answer:
I would say it is 2 pie r
Step-by-step explanation:
Use the map and the provided ruler to find the actual distance between cities.
The actual distance between Lansing and Flint is
miles.
Using a map and a ruler is a great way to measure the actual distance between two cities.
What is miles?Miles is a unit of distance that is commonly used in mega the distance between map of the link of that is divided for the letting word measurements.
To do this, first locate the two cities on the map. Then, place the ruler on the map to measure the distance between the two cities. Make sure that the ruler is touching the two cities so that you get an accurate measurement. Once you have done this, use the map scale to determine the distance between the two cities. For example, if the scale says that 1 inch equals 100 miles, then 2 inches would equal 200 miles. Therefore, if you measure 2 inches between the two cities, then the actual distance between them would be 200 miles. By using a map and a ruler, you can accurately measure the distance between two cities.
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[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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A college professor hands out a list of 10 questions, 5 of which will appear on the final exam for the course. One of the students taking the course is pressed for time and can prepare for MATH 270 Assignment 2 W. Li 2 only 7 of the 10 questions on the list. Suppose the professor chooses the 5 questions at random from the 10. a) What is the probability that the student will be prepared for all 5 questions that appear on the final examination
Answer:
21 / 252
Step-by-step explanation:
Recall : nCr = n! ÷ (n-r)!r!
The total possible outcome ; 5 questions out of 10
10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252
Required outcome :
All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered
7C5 * 3C0
7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21
3C0 = 3! ÷ 3!0! = 1
Probability = required outcome / Total possible outcomes
P(All 5 questions prepared for appears) :
[7C5 * 3C0] ÷ 10C5
(21 * 1) / 252
= 21 / 252
HELP ME PLEASE !!!!!!!
Which of the following ratios are equivalent to 6:8?
24:36
9:12
12 to 16
16 to 24
36/40
15/20
Answer:
12 to 16 and 36/40
Step-by-step explanation:
solve for x helpppppp
Answer:
x=30°
Step-by-step explanation:
Find angles of the triangles:
Angles on a straight line:
180°-120°=60°
Opposite angles(intersection property):
55°= 55°
Sum of angles in a triangle = 180°
So:
------>60°+55°+2x+5=180°
------>120°+2x=180°
------>2x=180°-120°
------>2x=60°
------>x=60/2°
------>x=30°
let an agle be 'a' and 'b' ,
120°+a=180° ( linear pair )
a=120°-180°
a=60°
b=55°(opposite angle )
a+b+2x+5=180°(angle sum property)
60°+55°+2x+5=180°
120°+2x=180°
2x=180-120
2x=60
x=60/2
x=30
hence, the value of x is 30
Solve for X. Answer needed ASAP!!
45+1y/-15 = -3
Answer:
y=720
Step-by-step explanation:
Multiply both sides of the equation by −15.
−675+1y=45
Add 675 to both sides.
1y=45+675
1y=720
-- -----
1 1
y=720
In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the directed line segment from K to N in a ratio of 1:2. Point M partitions the directed line segment from L to N in a ratio of 3:1. What are the coordinates of point M? Round to the nearest tenth, if necessary. (–1.3, –0.3) (2.5, 1) (5.7, 2.2) (7, 2.5)
Answer:
I believe it's (5.7, 2.2)
I hope it's correct :)
c
Step-by-step explanation:
for the lazy people like me its c
If 10 chips are 130 cals how much is just one chip?
A group of nine friends go to a baseball game. The group buys 6 hotdogs and 3 hamburgers for a total of $27.75. A hamburger costs $1.75 more than a hot dog. What is the cost of a hamburger?
Answer:
let x be cost of a hotdog
let y be cost of hamburger
so,
5x + 4y = 17.75 eq. 1
4x + 5y = 18.25 eq. 2
manipulate eq. 1 so solve for x:
5x = 17.75 - 4y
x = 17.75/5 - (4/5)y
x = 3.55 - (4/5)y eq. 3
substitute eq. 3 to eq. 2:
4(3.55 - (4/5)y) + 5y = 18.25
14.2 - (16/5)y + 5y = 18.25
14.2 + (9/5)y = 18.25
(9/5)y = 18.25 - 14.2
4.05= (9/5)y
y = 2.25
x = 3.55 - (4/5)(2.25)
x = 1.75
hotdog costs $1.75
hamburger costs $2.25
Step-by-step explanation:
HOW TO COUNT BY 5 AND 10 'S HOW TO COUNT BY 20 AND A WHAT IS 9-4 AND 5-7
|-4+5x|=16
Help I'm confused.
Answer:
x=4
Step-by-step explanation:
|-4 + 5x|=16
First, combine like terms and use the properties of equality to get all variables on one side of the equation and the numbers on the other.
|5x - 4| = 16
Apply absolute value
5x - 4 = 16
5x - 4 = -16
Add 4 to both sides
5x = 20
5x = -12
Divide both sides by 5
x = 4
hope this helps :)
Which unit would be most appropriate to measure the
width of the basement of a house?
A centimeters B meters C millimeters D kilometers
Answer:
measure the length of the area.and the width of the area. using feet
hello could you please tell me if I have selected the right answer?
we need to reduce
\(\frac{-28x^2y}{7xy^2}\)this can be computed as
\((-\frac{28}{7})(\frac{x^2}{x})(\frac{y}{y^2})\)hence, we have
\((-4)(x)(\frac{1}{y})\)which is equal to
\(\frac{-4x}{y}\)for a new problem, ou must start a new session (Brainly rules). One question per session helps you to find the question at anytime and helps other students to find the answer for the same question.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 2
Step-by-step explanation:
180= 90 + 57 + Z
Z = 180 - 90 - 57
Z = 33
33 = 7X + 19
7X = 33 - 19
7X = 14
X = 2
Which set of ordered pairs does not represent a function?
Answer:
B
Step-by-step explanation:
the x values repeat so its not a function
2. What is the average salary offered to a Stony Brook college graduate? To study this question you and a friend interview N students that graduated last year, and ask them what they earn. Student i's response was recorded as Yi. You are interested in the average, My. You assumed that the sample of Y's is iid. First you calculate the following estimate of uy: W1 N 1 N i=1 ΣΥ. . You and your friend each collected half the data. Thus you collected Y1, ..., YN/2 and your friend collected Yn/2+1, ... , Yn. Unfortunately, it turns out that your friend collected the data at a wild alumnae party, and you suspect that these data may not be as precise as your data. So whereas the variance of your data is, var(Y;) = 0%, i = 1, ...,N/2. then your friends data have the variance, var(Y) = oʻ(1 + 3c), i=N/2+1, ...,N, for some constant c> 0. (d) Your friend is sorry that half the data are not as precise as they could have been, and suggest that you discard the noise data, and simply use hr Na Ex? Y; as your estimator for my. Which estimator is most efficient (has the smallest variance) în or îz? Does your answer depend on c? = N.Σ. (Υ – μ.) - = (e) Suppose now that c = 0 such that var(Y;) = o2 for i = 1, ...,N. You have N = 300 observation and calculate s2 = 20,000,000 and î1 = $48,000. Before collecting the data, your friend argues mean salary, my, is s $50,000, using a 1% significance level. Write down the confidence interval at 1% significance level and decide whether you will accept your friend's
The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.
In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.
In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.
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Find the slope of the points (-10, -52)
and (-70, -32)
Answer:
Slope= -1/3
Step-by-step explanation:
The slope is found using (y₂ - y₁) / (x₂ - x₁)
(y₂ - y₁)
So let's do the numerator first with the y. -52-(-32). The two negative signs make 32 positive so -52 + 32= -20
(x₂ - x₁)
Now the denominator, x. -10-(-70). Same thing here, the two negative signs make 70 positive so -10 + 70 = 60
(y₂ - y₁) / (x₂ - x₁)
Now put them together so -20/60 which equals -1/3 which the slope
Given f(2) = 1093 (92) and g(2) = 30 . Find and simplify (fog) (2)
Refer to image
Given \( f(x)=\log _{3}(9 x) \) and \( g(x)=3^{x} \). Find and simplify \( (f o g)(x) \) \( 2 x \) \( 27^{x} \) \( 2+x \) None of these.
The simplified expression for (f ∘ g)(x) is 2 + x (option d).
To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.
Given:
f(x) = log₃(9x)
g(x) = \(3^x\)
Substituting g(x) into f(x):
(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)
Now, we simplify the expression:
log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)
Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:
log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x
Using the property logₓ\((x^a)\) = a * logₓ(x), we get:
log₃\((3^2)\) + x = 2 * log₃(3) + x
Since logₓ\((x^a)\) = a, where x is the base, we have:
2 * log₃(3) + x = 2 + x
Therefore, (f ∘ g)(x) simplifies to:
(f ∘ g)(x) = 2 + x
So, the correct answer is (d) 2 + x.
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Complete Question:
Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)
(a) 2x
(b) x
(c) \(27^x\)
(d) 2+x
(e) None of these.
Find the value of x.
A
7x + 10
с
В
00
9x - 2
D
Answer:
6
Step-by-step explanation:
AB = BD
so, 7x + 10 = 9x -2
or, 10 + 2 = 9x -7x
or, 12 = 2x
or, 6=x
Therefore, x=6
Find the value of x. Then find the angle measures of the polygon
x-30
x- 30
x-30
Sum of angle measures: 540
The value of x for the given polygon is 126º.
The given pentagon with angles (x-30)°, (x-30)°, (x-30)°, x° and x°.
We need to find the value of x.
What is a polygon with five sides?A pentagon is a flat 2D shape that has five sides and five vertices.
The word “pentagon” comes from the Greek word “pentagons”, which means “five-angled”. A regular pentagon has five internal angles that form corners. The angles in all the corners add up to 540º.
Now, (x-30)°+(x-30)°+(x-30)°+x°+x°=540º
⇒5x-90=540
⇒5x=630
⇒x=126º
Therefore, the value of x for the given polygon is 126º.
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