Answer:
465.25 skiers at any one time.
Step-by-step explanation:
Given that:
Number of skiers unloaded per hour = 5583
Time taken to move from bottom to top = 5 minutes ;
Number of travels(rides) per hour :
1 hour / 5 minutes = 60 minutes / 5 minutes = 12 rides
If equal number of riders are conveyed per ride ; the Number of riders at any one time is :
Total number of riders conveyed at any one time = 5583 / 12
= 465.25 skiers per trip
Josh's annual salary is $39.000. A total of $12.330.96 will be deducted for taxes and health insurance. He will receive his paycheck monthly in 12 equal installments. How much will he get paid with each paycheck?
Answer:
Step-by-step explanation:
without tax and insurance deduction- 3,250 (monthly)
with tax and insurance deduction-26,669.04/12=2,222.42 (monthly)
A concrete beam may fail either by shear (S) or flexure (F). Suppose that three failed beams are randomly selected and the type of failure is determined for each one. Let X = the number of beams among the three selected that failed by shear. List each outcome in the sample space along with the associated value of X.
S: FFF SFF FSF FFS FSS SFS SSF SSS X:
Answer:
[tex]\begin{array}{cc}{Outcome} & {X's} & {FFF} & {0} & {SFF} & {1} & {FSF} & {1} & {FFS} & {1} & {FSS} & {2}& {SFS} & {2}& {SSF} & {2}& {SSS} & {3} \ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]S_S = \{FFF, SFF, FSF, FFS, FSS, SFS, SSF, SSS\}[/tex]
[tex]X \to[/tex] Number of beams failed by shear
Required
List each outcome and the value of X
To do this, we simply count the occurrence of S in each outcome.
This is tabulated as follows:
[tex]\begin{array}{cc}{Outcome} & {X's} & {FFF} & {0} & {SFF} & {1} & {FSF} & {1} & {FFS} & {1} & {FSS} & {2}& {SFS} & {2}& {SSF} & {2}& {SSS} & {3} \ \end{array}[/tex]
What is the distance between points F(2, 9) and G(4, 14)? Round to the nearest whole number
Answer:
5
Step-by-step explanation:
5.4 rounded is 5
Can someone help me solve this
Answer:
[tex]y = {(x + 8)}^{3} - 9[/tex]
Will mark brainliest! Problem is in pic below, no links please. Thanks.
Answer: The answer is D) $3.35
Step-by-step explanation:
Well if we want to see the price of beef and chicken the same we should use the same variable for them making the equations
[tex]y=2.35+.25x\\y=1.75+.4x[/tex]
now let's subtract the equations for elimination
[tex]y=2.35+.25x\\-y=1.75+.4x\\\\=\\0=.6+-.15x[/tex]
now let's solve for x
[tex]0=.6-.15x\\0-.6=.6-.15x-.6\\-.6=-.15x\\\frac{-.6}{-15} =\frac{-.15x}{-.15} \\4=x[/tex]
now let's sub x into the original equations
[tex]y=2.35+.25(4)\\y=2.35+1\\y=3.35\\\\y=1.75+.4(4)\\y=1.75+1.6\\y=3.35[/tex]
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.
I need help with the k+1 part of the proof
The base case is true, since
1² = 1
1 (6×1² - 3×1 - 1) / 2 = 1
Assume the equality holds for n = k, so that
1² + 4² + 7² + … + (3k - 2)² = k (6k ² - 3k - 1) / 2
Then for n = k + 1, we would have
1² + 4² + 7² + … + (3k - 2)² + (3 (k + 1) - 2)² = k (6k ² - 3k - 1) / 2 + (3 (k + 1) - 2)²
… = (6k ³ - 3k ² - k) / 2 + (3k + 3 - 2)²
… = (6k ³ - 3k ² - k) / 2 + (3k + 1)²
… = (6k ³ - 3k ² - k) / 2 + 9k ² + 6k + 1
… = (6k ³ - 3k ² - k + 18k ² + 12k + 2) / 2
… = (6k ³ + 15k ² + 11k + 2) / 2
We want to end up with
(k + 1) (6 (k + 1)² - 3 (k + 1) - 1) / 2
which means the numerator should have a factor of k + 1; it does, since
(6k ³ + 15k ² + 11k + 2) / (k + 1) = 6k ² + 9k + 2
This quotient should be equal to
6 (k + 1)² - 3 (k + 1) - 1
and it is; you can confirm this by expanding:
6 (k ² + 2k + 1) - 3 (k + 1) - 1 = 6k ² + 9k + 2
and we're done.
ILL GIVE BRAINLIEST IF YOU GET IT CORRECT AND EXPLAIN
The linear expression -12x-18 can be written equivalently as the expression a(bx+3) where a and b are integer values.What is the value of a that makes the statement true.
What is the value of b that makes the statement true.
Answer: so a can be -2 and b can be 6, note that there are many combinations since u can factor all types of stuff out including fractions
Step-by-step explanation:
a(bx+3) basically is just factoring out a random common factor between -12x and -18
so we can factor out a -2 to get -2(6x+9)
If 25x2 – 35x – 18 is written as a2 – 7a – 18, what is a in terms of x?
a =
Answer:
a = 5x
Step-by-step explanation:
The value of an in terms of x will be a = 5x.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expressions are 25x² – 35x – 18 is written as a² – 7a – 18.
The value of an in terms of x will be calculated as:-
25x² – 35x – 18
a² – 7a – 18.
Compare the first term of the two equations,
25x² = a²
a = √25x²
a = 5x
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Need help will give brainliest
Answer:
X=15
Step-by-step explanation:
line segment with length 18 is tangent and other one is secant so
[tex] {18}^{2} = 12(12 + x) \\ 324 = 144 + 12x \\ 324 - 144 = 12x \\ 180 = 12x \\ x = 180 \div 12 \\ x = 15[/tex]
..........................HELP.....................BRAiNLIEST TO FIrSt 2 answers
Answer:
14) 9:15 pm
15) 6hrs 30min
Step-by-step explanation:
Hope this helps
Answer:
1. 6 hours 30 mins
2. 8: 15 PM
Step-by-step explanation:
1. To figure this out, we need to find the number of hours between 2 AM and 8 AM. Hence, 8-2 which is 6.
Now we need to find the time between 8 AM and 8:30 AM, which is 30 minutes.
Put them together and you get 6 hours and 30 mins.
2. For this one, we need to go 9 hours back from 6 AM, which is 9 PM. From 9 PM, we need to go back another 3/4 of an hour.
1 hour = 60 minutes
1/4 hour = 15 minutes
1/2 hour = 30 minutes
3/4 hour = 45 minutes
Since 3/4 of an hour is euqal to 45 minutes, we need to go back 45 minutes from 9 PM which is 8:15 PM.
Hope This Helps!
Which type of sequence is shown? -2, 0, 2, 4, 6, . . .
Answer:
The type of sequence that is show is an arithmetic sequence
Step-by-step explanation:
7. Your closet has 10 shirts for every 4 sweaters. Your closet has 40 shirts. How many sweaters are
in your closet?
Answer:
16 sweaters
Step-by-step explanation:
4=10
4=10
4=10
4=10
4x4=16
What is the distance between the points (4.10) and (-3,-14) on the coordinates plane?
Answer:
25 units
Step-by-step explanation:
use the distance formula to get the square root of 24² + 7²
this will give you the square root of 625, which is 25
Change 10 miles per hour to meters per second (hint: you'll need to
change from miles to kilometers, then change kilometers to meters)
how do i do this work shown!!
Answer:
10 miles per hour = 0.1862 meter per second
Step-by-step explanation:
Given
Speed in miles per hour = 10 miles per hour
As we know
1 mile = 1609.34 meters
and 1 hour = 24*60 *60 seconds
Thus, 10 miles per hour in meter per second would be
10 * 1609.34/24*60 *60
= 0.1862 meter per second
which of the following us the graph of f(x)=-0.5| x+3| -2
A study followed for 10 years a sample of 82,695 middle-aged men with no prior history of heart failure living in California. The daily number of minutes spent being sedentary (seated) was recorded in diaries and reported on regularly administered questionnaires. During the course of the study, a total of 3,473 men experienced heart failures. Participants with high sedentary time and low sedentary times were compared. The proportion experiencing a heart failure was higher in the group of men spending more time being sedentary.
This study is an example of:_________
a. longitudinal cohort study
b. case-control observational study
c. voluntary response sample or anecdotal data
d. completely randomized experiment
e. matched pairs / repeated measures experiment
f. cross-sectional sample survey
g. census (population data)
Answer:
f. cross-sectional sample survey
Step-by-step explanation:
- longitudinal cohort study is when the group of subjects that comprises the cohort is chosen based on a disease or injury and is then monitored over time at routine intervals. In this question, it's not the case as the sample of men were just picked and studied with no special group or cohort.
- If it was case-control observational study, the research would have started with identifying those who have heart failure and those who don't have heart failure but it wasn't the case and thus this is not correct.
- If this was voluntary response sample, it means the men would have been self chosen which means they volunteered to be part of the study if it was of interest to them. But this is not the case here.
- If it was completely randomized experiment, it means that the people sampled would have been randomly assigned to different treatments which was not so in this question.
- If it were to be match pairs experiment, it means the men sampled would be grouped into pairs and each pair will be assigned different treatments which didn't happen in this question.
- If it were to be cross-sectional sample survey, it means that data will be collected from a population of interest to make inferences from that population at a point in time. That is the case here because data about sedentary time or less was taken and compared to know the effect it had on heart failure.
- If it were census, it will just be about getting the size of the population without making inquiries about sedentary time.
Write the prime factorization of 4
Answer:
2 x 2
Explanation:
The prime numbers that multiply to 4 are 2 and 2.
A 12 SIDED DIE WITH SIIDES LABLELED 1-12 ARE ROLLED ONCE. EACH NUMBER IS LIKELY TO BE ROLLED .WHAT IS THE PROBABILITY OF ROLLING A NUMBER GREATER THAN 10
Answer:
p=.1666
11 or 12
2 out of 12
2/12
1/6
p=.1666
Step-by-step explanation:
Which expression is equivalent to 3/4x -1/4xy
Answer:
\frac{3+x\frac{-4}{4xy}}{4x}
4x
3+x
4xy
−4
Step-by-step explanation:
annual survey in which readers rate their favorite cruise ship. All ships are rated on a -point scale, with higher values indicating better service. A sample of ships that carry fewer than passengers resulted in an average rating of , and a sample of ships that carry or more passengers provided an average rating of . Assume that the population standard deviation is for ships that carry fewer than passengers and for ships that carry or more passengers. Round your all answers to two decimal places.
This question is incomplete, the complete question is;
Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service.
A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40.
Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. What is the value of the test statistic? Round your all answers to two decimal places.
Answer:
value of the test statistic is 4.13
Step-by-step explanation:
Given the data in the question;
fewer than 500 passengers more than 500 passengers
n₁ = 37 n₂ = 44
x'₁ = 85.36 x'₂ = 81.40
s₁ = 4.55 s₂ = 3.97
Now, to get the test statistics, we use the following formula;
z = (x'₁ - x'₂) / √( [tex]\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}[/tex] )
we substitute
z = ( 85.36 - 81.40 ) / √( [tex]\frac{(4.55)^2}{37} + \frac{(3.97)^2}{44}[/tex] )
z = 3.96 / √( [tex]\frac{20.7025}{37} + \frac{15.7609}{44}[/tex] )
z = 3.96 / √( 0.5595 + 0.3582 )
z = 3.96 / √0.9177
z = 3.96 / 0.957966596
z = 4.1337 ≈ 4.13
Therefore, value of the test statistic is 4.13
Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of days of operation shows a sample mean of rooms occupied per day and a sample standard deviation of rooms. a. What is the point estimate of the population variance (to nearest whole number)? b. Provide a confidence interval estimate of the population variance (to nearest whole number). ( , ) c. Provide a confidence interval estimate of the population standard deviation (to 1 decima
Answer:
Step-by-step explanation:
a) The point estimate of the population variance is 900 (rooms squared).
b) The 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).
c) The 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.
a. The point estimate of the population variance can be calculated using the formula:
Point estimate of population variance = Sample standard deviation squared
= (30 rooms)²
= 900 rooms²
Therefore, the point estimate of the population variance is 900 (rooms squared).
b. To calculate the 90% confidence interval estimate of the population variance, we need to use the Chi-Square distribution.
The formula for the confidence interval of the population variance is:
Lower bound: (n-1)*sample variance / Chi-Square upper critical value
Upper bound: (n-1)*sample variance / Chi-Square lower critical value
Since we are interested in a 90% confidence interval, the Chi-Square critical values for the upper and lower tails with (n-1) degrees of freedom are 8.907 and 32.852, respectively.
Plugging in the values, we have:
Lower bound: (20-1)*900 / 32.852
≈ 486
Upper bound: (20-1)*900 / 8.907
≈ 1706
Therefore, the 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).
c. To calculate the 90% confidence interval estimate of the population standard deviation, we take the square root of the lower and upper bounds of the confidence interval for the variance.
Square root of the lower bound: √486
≈ 22.0
Square root of the upper bound: √1706
≈ 41.3
Therefore, the 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.
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The correct question is as follows:
Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 30 rooms.
a. What is the point estimate of the population variance (to nearest whole number)?
b. Provide a 90% confidence interval estimate of the population variance (to nearest whole number).
c. Provide a 90% confidence interval estimate of the population standard deviation (to 1 decimal).
On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?
the answer is 4,13 of the perimeter
factorise a2-17a+42
Answer:
(a-14) (a-3)
Step-by-step explanation:
Answer:
(a - 14) (a - 3)
Step-by-step explanation:
a² - 3a - 14 a + 42
a(a - 3) - 14 ( a - 3)
(a - 14) (a - 3)
What is x3 – 25x factored completely
Answer:
x(x2-25)=o
x=0;x=5 and -5
Answer:
[tex] {x}^{3} - 25x \\ = x( {x}^{2} - {5}^{2} ) \\ = x(x - 5)(x + 5)[/tex]
You measure 20 turtles' weights, and find they have a mean weight of 45 ounces. Assume the population standard deviation is 11.5 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight. Give your answer as a decimal, to two places
Answer: the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23
Step-by-step explanation:
Formula for margin of error : [tex]E=\dfrac{z^*\times (Population\ standard\ deviation)}{\sqrt{Sample\ size}}[/tex]
, where z* = Critical z-value.
Given: population standard deviation = 11.5 ounces
Sample size = 20
Z value for 90% confidence level = 1.645
margin of error (E) = [tex]\dfrac{1.645\times11.5}{\sqrt{20}}[/tex]
[tex]\approx4.23[/tex]
Hence, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23
emergency helpn please i dk wut they mean
Answer:
below
Step-by-step explanation:
that is the procedure above
Compare the two linear functions listed below and determine which has a negative slope.
Answer:
Gift card
Step-by-step explanation:
Given
Function 1 and 2
Required
Which has a negative slope
For the first function (Gift card), we have the following observation.
As x increases from 0, 1, 2 and then 3
The values of y keep reducing
This means that the gift card function has a negative slope
For the second function (calculator rental)
We have:
[tex]c = 10 + 5m[/tex]
The slope of function [tex]y =mx + b[/tex] is m
So, by comparison
[tex]m=5[/tex]
5 is positive,
This means that the gift card function has a negative slope
The vertex of the parabola below is at the point (2, -5). Which of the equations
below could be the one for this parabola?
Need help in understanding how to solve this problem.
>> Find an equation of the plane through (−2,3,2) and parallel to the plane 3x+y+z= 4
Answer:
Step-by-step explanation:
3x+y+z= 4
3x+ y = 4 - z
y = 4-z-3x
We then make parallel
y-2 = 4−z−3x
y-2 = 4-2 -z-3x
y-2 = 2-z-3x
y = -z-3x+2
arrange the decending 7.1, 7.11, 1.7, 1.17 help me please
Answer:
7.11, 7.1, 1.7, 1.17
Step-by-step explanation:
we have to start with the number that has the greatest value
what is left of the decimal point is the whole value so
7. something is greater than 1.something
we can rewrite the numbers so all will have two decimals
7.1 is the same as 7.10 , and 1.7 is the same as 1.70
7.11 is greater than 7.10 is greater than 1.70 is greater that 1.17
