Answer:
This is not proportional.
Step-by-step explanation:
If there was no meal delivery cost than it would be proportional.
The Japanese automobile company Lexus has established a reputation for quality control. Recents statistics indicate that a newly purchased Lexus ES 300 will have:
0 defects with probability 0.12
1 defect with probability 0.18
2 defects with probability 0.25
3 defects with probability 0.20
4 defects with probability 0.15
5 defects with probability 0.10
If you purchase a new Lexus ES 300, find:
a) the probability that it will have 2 or fewer defects.
b) the probability that it will have 4 or more defects.
c) the probability that it will have between 1 and 3 (all inclusive) defects.
d) the expected number of defects
a) The probability that it will have 2 or fewer defects is: 0.55 = 55%.
b) The probability it will have 4 or more defects is: 0.25 = 25%.
c) The probability it will have between 1 and 3 defects is: 0.63 = 63%.
d) The expected number of defects is: 2.38.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
For this problem, we are given the frequencies, hence we must identify the outcomes and then add their frequencies.
The probability that it will have 2 or fewer defects is obtained as follows:
P(X = 0) + P(X = 1) + P(X = 2) = 0.12 + 0.18 + 0.25 = 0.55.
The probability it will have 4 or more defects is obtained as follows:
P(X = 4) + P(X = 5) = 0.15 + 0.10 = 0.25.
The probability it will have between 1 and 3 defects is obtained as follows:
P(X = 1) + P(X = 2) + P(X = 3) = 0.18 + 0.25 + 0.20 = 0.63.
The expected value is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0 x 0.12 + 1 x 0.18 + 2 x 0.25 + 3 x 0.20 + 4 x 0.15 + 5 x 0.1
E(X) = 2.38.
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What is one possible solution for the triangle below?
Answer:
hard to say without the triangle
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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Please help for brainliest !!
Answer:
i do bellieve it is c
Step-by-step explanation:
Y=2x^3 linear or nonlinear
Answer: linear
Step-by-step explanation:
Answer:
LINEAR...................
Step-by-step explanation:
y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)
if i have 100 dollars to spend and i get a 40 percent discount how much can i spend in all with the 40percent discount? to use the full 100$
Answer:
You will need to spend $250Explanation: 250 x 0.40 = 100
A plane flies in a straight line path over city J and city K. The roads from city J to city K run 9.4 miles south and then 15.1 miles east. What is the measure of the angle formed by the plane's path and the road from city J to city L to the nearest tenth?
Right triangle J K L with leg K L equals 15.1 and leg L J equals 9.4.
The measure of the angle formed by the plane's path and the road from city J to city K is approximately 57.2 degrees.
To find the measure of the angle formed by the plane's path and the road from city J to city K, we can use the trigonometric concept of tangent.
In right triangle JKL, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In this case, we are interested in finding the angle formed by the plane's path and the road from city J to city K. Let's denote this angle as θ.
The tangent of angle θ can be calculated as:
tan(θ) = Opposite / Adjacent
Using the given information, the opposite side is KL with a length of 15.1 miles, and the adjacent side is LJ with a length of 9.4 miles.
tan(θ) = 15.1 / 9.4
Using a calculator or approximation, we find:
tan(θ) ≈ 1.60638
To find the measure of angle θ, we can take the inverse tangent (arctan) of the calculated value:
θ ≈ arctan(1.60638)
Using a calculator or inverse tangent table, we find:
θ ≈ 57.2°
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Is this inverse or direct variation?
y = 3/x
Fill in the blanks by standardizing the normally distributed variable.
Dave drives to work each morning at about the same time. His commute time is normally
distributed with a mean of 40 minutes and a standard deviation of 5 minutes. The percentage of
time that his commute time is less than 44 minutes is equal to the area under the standard normal
curve that lies to the __of_
left, -0.8
Oright, 0.8
Oright, 1
left, 0.8
Previous
Next >
Answer:you know how to get it look it up :D
Step-by-step explanation:
Give me big brain plz
Andrea is told that the means of two groups in a study were statistically significant. She knows the means and standard deviations of the two groups and is interested in calculating an estimate of effect size. Given this information, which effect size estimate should she calculate
Answer:
Cohen's D
Step-by-step explanation:
Cohen's D is a statistic that measures effect size. It shows standardised difference between 2 means.
Effect size is defined as how large the effect of a something is or its magnitude.
Cohen's D works effectively when the sample is >50 (that is for large samples). However a correction factor can be used to make results from small samples more accurate
The formular for Cohen's D is:
D = (mean1 - mean2) ÷ (√({standard deviation1}^2 + {standard deviation 2}^2)/2)
This is the most appropriate method in the given scenario
Suppose the population is all VCU students who track their steps each day. Among these students suppose the mean number of steps per day is 8989 with a standard deviation of 688. There are a few students who take many steps per day, and hence the distribution is skewed heavily to the right. If a simple random sample of 169 VCU students who track their steps each day is selected and the number of steps per day is determined for each, describe completely the sampling distribution of , the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 8989 and standard deviation 52.92.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean number of steps per day is 8989 with a standard deviation of 688.
This means that \(\mu = 8989, \sigma = 688\)
Describe completely the sampling distribution of the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.
Sample of 169 means that \(n = 169\)
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean \(\mu = 8989\) and standard deviation \(s = \frac{688}{\sqrt{169}} = 52.92\).
Of 140 people at a movie, 40% of the people bought popcorn, 30% of the people bought pretzels, and 10% of the people bought pizza. How many people bought each item?
Answer:
112
Step-by-step explanation:
40+30+10=80
80% of 140 = 112
Solve the inequality.
|4x - 1| ≥ 23
I need some help if anyone knows it!
The value of the inequality |4x - 1| ≥ 23 will be
x ≥ 6.
How to calculate the inequality?It should be noted that the inequality given is expressed as:
|4x - 1| ≥ 23
This will be
|4x - 1| ≥ 23
4x ≥ 23 + 1
4x ≥ 24
Divide
4x/4 ≥ 24/4
x ≥ 6
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Please answer this correctly
Answer: 30
Step-by-step explanation:
Q1: 120
Q3: 150
To find the interquartile range, subtract Q1 from Q3, which is 150-120. Therefore, the interquartile range of the kitten's weight, is 30
Answer: 30 grams
Step-by-step explanation:
The interquartile range is the range within the boxed areaa. You subtract the minimum value from the maximum value.
150 - 120 = 30
My checking account balance was $443 on February 1st and $872 on February 7th. Show the rate of change
Answer:
$61.29 per day.
Step-by-step explanation:
Checking account balance on February 1st: $443
Checking account balance on February 7th: $872
Difference in balances: $872 - $443 = $429
Number of days between February 1st and February 7th: 7 days
Rate of change = Difference in balances / Number of days
Rate of change = $429 / 7 days
To find the rate of change per day, divide the difference in balances by the number of days:
Rate of change = $429 / 7 days ≈ $61.29 per day
Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.
25% of students in 8th grade play an instrument. How many students play an instrument if there are 200 students in 8th grade.
Find the distance between the points (2,5) and (1,-2)
Answer:
distance between the two points is 7.071
The carrying capacity of a drain pipe is directly proportional to the area of its cross- section. If a cylindrical drain pipe can carry 36 litres per second, determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second.
Step-by-step explanation:
Let's start by using the formula for the volume of a cylinder:
V = πr^2h
where V is the volume of the cylinder, r is the radius of the cylinder, h is the height of the cylinder, and π is a mathematical constant (approximately equal to 3.14).
Since we are dealing with a drain pipe, we can assume that the height of the cylinder is fixed and does not change. Therefore, we can rewrite the formula as:
V = πr^2h = Ah
where A is the cross-sectional area of the cylinder.
Now, let's use the given information that the drain pipe can carry 36 litres per second. We know that the volume of water that passes through the pipe in one second is equal to 36 litres. We can therefore write:
36 = Ahv
where v is the velocity of the water flowing through the pipe. Since we are assuming that the height of the cylinder is fixed, we can simplify this equation to:
36 = Av
Now we need to determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second. Let's call the new diameter d2 and the old diameter d1. We can set up a proportion to solve for d2:
A1/A2 = d1^2/d2^2
We know that A1 and A2 are proportional to the volumes of water the pipe can carry, so we can write:
A1/A2 = 36/60
Simplifying this equation, we get:
A1/A2 = 3/5
Substituting in the formula for the cross-sectional area of a cylinder, we get:
πd1^2/4 / πd2^2/4 = 3/5
Simplifying further, we get:
d1^2/d2^2 = 3/5
Taking the square root of both sides, we get:
d1/d2 = sqrt(3/5)
Now we can solve for d2:
d2 = d1 / sqrt(3/5)
We want to know the percentage increase in the diameter, which we can find using the formula:
% Increase = (New Value - Old Value) / Old Value x 100%
Substituting in our values, we get:
% Increase = (d1 / sqrt(3/5) - d1) / d1 x 100%
Simplifying, we get:
% Increase = (1 / sqrt(3/5) - 1) x 100%
Using a calculator, we get:
% Increase ≈ 34.64%
Therefore, the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is approximately 34.64%.
Please can someone help me!!!!!
Answer:
Your answer for both is 31 degrees
Step-by-step explanation:
Because they are similar we know their angles are the same. If you know the rule about triangles' interior angles always add up to 180, then you can just easily find this out.
First you do
82+67 = 149
Take that answer and minus it by 180
180-149 = 31
Answer:
*Using < for angle symbol*
m<E= 61 degrees
m<G= 119 degrees
Step-by-step explanation:
Because the two triangles are similar (meaning they have either length of sides or angle measurements in common, we can assume that they have the same angles because they are not the same size. We know that m<A= 82 degrees, which means so will m<D. You add the 82 and the 37 (from m<F) together to find 119. You subtract this from 180 (the total angle measurement of a triangle) to find m<E= 61. To find m<G, you subtract the 61 from 180, the angle measurement of a straight line, to find 119.
Hope this helps! Have a nice day :)
Solve. A train traveled 936 miles at a constant speed in 12 hours. a. How can you find the number of miles the train traveled each hour? b. What is a reasonable estimate for the quotient?
Answer:
a. 936/12 b. 80
Step-by-step explanation:
a. Divide 936/12 to find miles per hour
b. 80 because if you round 936 to 960 which you know is divisible by 12 you get 80 which is pretty close to the actual answer 78.
78 miles. Check explanation below.
b. What is a reasonable estimate for the quotient?
80 miles.
Step-by-step explanation:a. How can you find the number of miles the train traveled each hour?Stablish a rule of 3 like this:
12 hours ---------- 936 miles
1 hour -------------- x
\(x=\frac{1*936}{12}=78\).
Hence, the number of miles that the train traveled each hours was 78 miles.
b. What is a reasonable estimate for the quotient?Let's round this number to the closest 10, which is 80.
Round to the nearest one-hundred dollars: $3,245.31
A $3,245.30
B $3,300.00
C $3,200.00
D $3,000
Answer:
C
Step-by-step explanation:
Our choices would be 3,300 for 3,200. Those would be the answer rounded to the nearest 100 up and down. 3245.31 is between those numbers. Which number would it be closer to? 3200.
help
I need an answer
The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B
B. III
What is a translation transformation?A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.
The shape of the shaded figure is an L-shape
The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.
The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;
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If three empanadas and two drinks cost $9, and four empanadas and one drink costs $9.50, how much does a drink cost?
Answer:
A drink cost 1.50
Reasoning:
3×2=6
6+1.50=7.50
7.50+1.50=9
4×2=8
8+1.50=9.50
Andres Michael bought a new boat. He took out a loan for $24,440 at 3.75% interest for 4 years. He made a $4,410 partial payment at 4 months and another partial payment of $2,590 at 8 months. How much is due at maturity?
The amount due at maturity on Andres Michael's loan of interest rate of 3.75% is $20,431.75
What is effective monthly loan interest rate?
The loan effective monthly interest rate can be determined as the annual interest rate of 3.75% divided by 12 since there are 12 months in a year
effective monthly interest rate=3.75%/12
effective monthly interest rate=0.003125
loan balance after 4 months=$24,440*(1+0.003125)^4- $4,410
loan balance after 4 months=$20,336.94
loan balance after 12 months=$20,336.94*(1+0.003125)^8-$2,590
loan balance after 12 months=$18,260.96
balance at the 4 year(after another 36 months)=$18,260.96*(1+0.003125)^36
balance at the 4 year(after another 36 months)=$20,431.75
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2/3 : 2/6 as a unit rate
Answer:
3/1
Step-by-step explanation:
Does anyone have Envision volume 2 book for 5th grade I need only lesson 13? 2 page ?
I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:
Envision Math Grade 5 Answer Key | Envision Math 5th Grade Textbook Answers – enVision Math Answer Key ( 1 )5th Grade Envision Topic 13 Lessons Teaching Resources | TPT ( 2 )IXL skill plan | 5th grade plan for enVisionMATH 2.0 ( 3 )I hope this helps you with your homework.
the sum of three consecutive even numbers is 114 what's the smallest of these numbers
Answer:
36
Step-by-step explanation:
consecutive even numbers are 2,4, 6...
Let the smallest of the 3 numbers be x.
2nd number= x+2
3rd number
=x+2+2
= x+4
sum of the 3 numbers= x +x+2 +x+4
114= 3x+6
3x= 114 -6 (-3 on both sides)
3x= 108 (simplify)
x= 108 ÷3
x= 36
Thus, the smallest number is 36.
Let's check!
36+38+40= 114 ✓
A biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road. How much more does he need to travel? (distance)
The biker needs to travel 45 km more to complete his journey.
Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,
Let the total distance of the road be x,
So,
2x/5 - 5 = 3x/8
2x/5 - 3x/8 = 5
Solving for x,
Multiply by 40 to both sides,
16x-15x = 200
x = 200
Therefore, the total distance of the road is 200 km.
Since, he travelled =
200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km
Therefore, he needs to travel 200-155 = 45 km more.
Hence, the biker needs to travel 45 km more to complete his journey.
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Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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HURRY ANSWER Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive on
negative correlation, describe its meaning in the situation.
Consumer Price Index, 1950-2002
700
600+
500
400
300
200+
100
1950
1960
1970
1980
1990
2000
Year
Source: Bureau of Labor Statistics, U.S. Dept. of Labor
a. no correlation
b. positive correlation; as time passes, the CPI increases.
C.positive correlation as time passes
Answer:
B
Step-by-step explanation:
The meaning in the situation is B; positive correlation; as time passes, the CPI increases.
What does correlation coefficient convey?The correlation coefficient is the degree of association between two quantities in terms of linear relation. The range of correlation coefficient is -1 to 1
If the correlation is -1, then that refers as the one quantity increases, the other quantity decreases , also the correlation is 0, then there is no linear relationship between two variables.
There are two types of Correlation;
Positive Correlation= With Increase in x value, y value also increases, we call it positive correlation.
Negative Correlation= With Increase in x value, if y value decreases, we call it negative correlation.
As we can see from the points plotted on the graph ,with increase in x value , y value decreases.
Hence, positive correlation; as time passes, the CPI increases.
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