A mathematician designed your favorite video game. All of the caves have either two or three portals to the next universe. The total number of portals is 95 more than the total number of caves. The number of two-portal caves is three times the number of three-portal caves. How many caves are in the video game
Answer:
95 - 9x
Step-by-step explanation:
All caves have ; 2 or 3 portals
Total portals = 95 more than number of caves
Let :
Number of 3 portal caves = x
Number of 2 portal caves = 3x
Total Number of portals :
3x + 2(3x) = 3x + 6x = 9x
Number of caves :
95 - 9x
. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These rules provide simple answers to questions about retirement planning. At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income ($), and employment category.(30pts)(a) Describe the population of interest.(b) Describe the sample that was collected.(c) Indicate whether each of the demographic variables mentioned is categorical or numerical.
Answer:
a) The population of interest = 10,000 benefited employees. It includes all benefited employees.
b) The sample collected = 3,095. These are the benefited employees who participated in the study.
c) Indication of demographic variables as categorical or numerical:
Demographic data: Categorical or Numerical
Gender = Categorical
Age (years) = Numerical
Education level = Numerical
(years completed)
Marital status = Categorical
Household income ($) = Numerical
Employment Category = Categorical
Step-by-step explanation:
a) Data and Calculations:
Population of interest = 10,000 benefited employees
Sample = 3,095 participants
Demographic data:
Gender
Age (years)
Education level (years completed)
Marital status
Household income ($)
Employment Category
b) A variable is numerical value (e.g. length, test scores, etc.). It is a continuous variable. A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.
HELP PLS 30 PTS !!!!!!!!!!!!
Answer:
its the second one bc if u multiply 8.34 times 5305 it equals to 44243.7 the diameter of the pool was jus to throw u off it was unneeded information.
Step-by-step explanation:
A bike shop charges 8.50 per hour to rent a bike plus a flat rate of 5 for a helmet. For how many hours did Lucas rent a bike if he paid 56
Answer:
6 hours
Step-by-step explanation:
x number of hours
8.50(x)+5=56
8.50x=51
x= 6 hours
Answer:
476
Step-by-step explanation:
17
Convert into a mixed number.
9
Answer: [tex]1\frac{8}{9}[/tex]
Step-by-step explanation:
i'm assuming the fraction is [tex]\frac{17}{9}[/tex] correct? First you would have to find out how many times 9 can be multiplied to get as close to 17. Since it can only go one time, subtract 9 from 17, then add the one next to it which would get you the mixed number of [tex]1\frac{8}{9}[/tex]
Which line is parallel to the graph of the line y=-2/3x-5?
y=-3/2x-1
y=-2/3x-7
y=2/3x+2
y=3/2x+6
? how do I do this problem
Answer:
if im not wrong, youd distribute first.. check below !!
Step-by-step explanation:
5 (x - 3) > 15
5x - 15 > 15
5x > 30
5x/5 > 30/5
x > 6 !!!
i hope this helps !!!
what is -6(a + 8) simplified?
Answer:
-6a-48
Step-by-step explanation:
Answer:
-6a - 48
Step-by-step explanation:
distribute
-6 x a = -6a
-6 x 8 = -48
put the answer together
-6a - 48
Is 3/7 bigger then 3/5
Answer:
No they are equivalent
Step-by-step explanation:
3/7 =21/35
3/5=21/35
Answer:
no
Step-by-step explanation:
find a common denominator we are going to do 35
3/7= 15/35
3/5= 21/35
Create and manipulate a data frame.
i) Create a `data.frame` named `my.trees` that has the following columns: - `
Girth = c(10.3, 10.6, 10.8, 13.5, 13.7, 13.8, 14.0)` - `
Height = c(70, 65, 63, 72, 81, 83, 66)` - `
Volume = c(10.3, 10.3, 10.2, 16.4, 18.8, 19.7, 15.6)`
ii) Extract the second observational unit.
iii) Extract the `Height` column referring to it by name.
iv) Print out a data frame of all the observations except for the firt observation.
the question is attached with a document.
Answer:
92,960,000
Step-by-step explanation:
When multiplying by 10 to the power of something. You can just add move the decimal point "n" times to the right. (where n is the exponent over 10)
For example:
1.23456 * [tex]10^{2}[/tex] = 123.456 (the decimal point moved 2 steps to the right)
4 * [tex]10^{4}[/tex] = 40000 (the decimal point moved 4 steps to the right)
Hope i was able to help you!
If it was something you didn't understand, just ask me in the comments below this answer!
Have a good day.
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1not attractive; 10extremely attractive). Find the range, variance, and standard deviation for the given sample data. Can the results be used to describe the variation among attractiveness ratings for the population of adult males
Answer:
[tex]Range = 7[/tex]
[tex]s^2 = 3.53[/tex] -- Variance
[tex]s = 1.88[/tex] --- Standard Deviation
No, it can not be used
Step-by-step explanation:
Given
I'll use the data in the attachment to answer the question.
(a) Range:
[tex]Range = Highest - Lowest[/tex]
From the attached data.
[tex]Highest = 10[/tex]
[tex]Lowest = 3[/tex]
So:
[tex]Range = 10 - 3[/tex]
[tex]Range = 7[/tex]
(b) Variance:
We start by calculating the mean:
[tex]\overline x = \frac{\sum x}{n}[/tex]
[tex]\overline x = \frac{5 + 8 + 3 + 8 + 6 + 10 + 3 +......+ 8+8+7}{26}[/tex]
[tex]\overline x = \frac{171}{26}[/tex]
[tex]\overline x = 6.58[/tex] --- approximated
The sample variance is then calculated using:
[tex]s^2 = \frac{\sum(x_i - \overline x)^2}{n-1}[/tex]
This gives:
[tex]s^2 = \frac{(5-6.58)^2+(8-6.58)^2+(3-6.58)^2+(8-6.58)^2+..............+(8-6.58)^2+(8-6.58)^2+(7-6.58)^2}{25-1}[/tex]
[tex]s^2 = \frac{88.3464}{25}[/tex]
[tex]s^2 = 3.53[/tex] --- approximated
(c) Standard Deviation.
This is calculated as:
[tex]s = \sqrt{s^2[/tex]
Substitute 3.53 for [tex]s^2[/tex]
[tex]s = \sqrt{3.53}[/tex]
[tex]s = 1.88[/tex] --- approximated
(d) No, it can not be used because the selected sample is too small to represent the total population and as such the result of the measure of variations can not be used.
(SAT Prep) Find the value of x.
Answer:
58
Step-by-step explanation:
I think
help please pleassse
Answer:
[tex]n=\frac{8}{3}[/tex] or [tex]n = 2\frac{2}{3}[/tex]
Step-by-step explanation:
Multiply both sides of the equation by [tex]\frac{10}{3}[/tex]
[tex](\frac{10}{3}) (\frac{3}{10})*n= (\frac{10}{3})(\frac{4}{5})[/tex]
Simplify both sides of the equation.
[tex]n=\frac{8}{3}[/tex] or [tex]n = 2\frac{2}{3}[/tex]
hope this helps :)
6. Find the ICM of 60 and 400
Answer: it's 1200
Step-by-step explanation: please give me brainliest
400x3=1200
60x20=1200
find the 7th term in the sequence?
1/3,1,3,9
Answer:
27 64 213 1004
Step-by-step explanation:
its 3 by 3 so its 213
A line with a slope of 0.20 passes through
the point (1.25, -17.5). What is the
equation of the line in slope-intercept form?
Plss help ASAP I’ll give anything
Answer:
y=0.2x-20
Step-by-step explanation:
1) the common view of the line in the slope-intercept form is:
y=s*x+i, where s - the value of the slope (it is 0.2 according the condition), i - the value of intercept (to be calculated);
y=0.2*x+i.
2) if to substitute the given coordinates (1.25;-17.5) into the common view, then:
-17.5=1.25*0.2+i;
it is possible to calculate the value of 'i': i= -20.
3) if the slope=0.2, the intercept= -20, then the required equation of the line is:
y=0.2x-20.
Subtract m + 8 from 5m + 11.
???
Answer:
=−4m+19
Step-by-step explanation:
Answer:
I think it might be 4m + 19
what is this ???????????
Answer:
The heavier an object the harder it is to move.
Step-by-step explanation:
I'm pretty sure this is it
Answer:
C. Gravity and Friction combine to make a train hard to move.
Step-by-step explanation:
This option makes the most sense based off of the text. In the text it says "Since gravity and friction make trains harder to move...." None of the other options really match the text either.
Hope it helps!
somebody help plz how can i solve the following equations of 6v+3=21
A scientist wants to predict the number of nitrates in the river. Which sample is better for making this prediction?
Sample A: A random sample of 5 gallons of water from one location in the river
Sample B: A random sample of 5 gallons of water from five different locations in the river
Answer:
Sample B: A random sample of 5 gallons of water from five different locations in the river
Step-by-step explanation:
-12 times 1over3 help.
Answer:
-4
Step-by-step explanation:
If the input is 15, then what is the output for 3x+5?
Answer:
Example: for input output tables input is 1,2,3,4,5,6 and output is 5,7,9,11,13,15 what is the input output rule? mathematics. What is the output for the function y = -4x - 3, when the input is 2? Math. Hey, I need your help! I have an input output table that I need the function rule for.
Step-by-step explanation:
Solve for the value of n.
pls help I will give brainliest + 34 points!
9514 1404 393
Answer:
n = 17
Step-by-step explanation:
The angle sum theorem tells you the angles add up to the linear angle of 180°.
(3n -5)° + 90° +44° = 180°
3n + 129 = 180 . . . . . . . . . . collect terms
3n = 51 . . . . . . . . . . . . subtract 129
n = 17 . . . . . . . . . . divide by 3
What is the sum of $5.50, $13, and $6.50?
O A. $12.13
B. $13.30
C. $24
D. $24.50
E. $25
It’s due late tonight can some pls help me pass
What is the value of x in the equation below?
1/3 (12 x - 24) = 16
2
6
8
10
Answer:
6
Step-by-step explanation:
one third of 12 is 4
4x
one third of 24 us 8
4x-8=16
4x= 24
x=6
Suppose we want to choose 5 letters, without replacement, from 18 distinct letters
Answer:
17C5 = [17!/(17-5)!]/5! = 6188
Step-by-step explanation:
17P5 = 17!/(17-5)! = 17*16*15*14*13 = 742,560
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!
Abby was decorating her room. She arranged 56 picture tiles on a wall in the shape of a rectangle. How many rows of tiles could she have on the wall?
Answer:
14
Step-by-step explanation:
A rectangle has four sides so all you have to do is 56÷4
Answer:
14
Step-by-step explanation:
I was Slightly confused But with the given information
Divide 56 and 4...
What type of number is -4.8 +56i?
Answer:
Step-by-step explanation:
It's an imaginary number, where i = √(-1)