Answers
The 99% confidence interval estimate of the population standard deviation is [12.54, 54.62] mi/h.
What is a confidence interval?A confidence interval is the mean of your estimate plus and minus the variation in that estimate. This is the range of values you expect your estimate to fall between if you redo your test.
x = [64, 60, 56, 60, 52, 59, 58, 59, 70, 68]
s = 5.963
n = 10
CI = [(n-1)*s²/chi2_upper, (n-1)*s²/chi2 lower]
CI = [(9*5.963^m²)/19.022, (9*5.963²)/2.700]
CI = [12.54, 54.62]
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Related Questions
3,998-(-7)= can you please help me with this problem
Answers
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
Need help getting answers.
Answers
The solution with a pH of 3.3 has a hydronium ion of 0.000501
pH of a solutionThe pH of a solution is a measure of hydrogen ion concentration, which in turn is a measure of its acidity. Pure water dissociates slightly into equal concentrations of hydrogen and hydroxyl (OH−) ions.
Applying the formula of pH which is given as
pH = -log[H₃O⁺]
But the fruit juice has a pH = 3.3
3.3 = -log[H₃O⁺]
This becomes 10⁻³.³
[H₃O⁺] = 0.000501
The concentration of hydronium ion is 0.000501
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LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL'manburg
Answers
Answer:
C-5 to 18 ; 1 to 225
Step-by-step explanation:
Its from the USA test prep.
The store clerk created a display of R rows of cereal boxes. Each row contained 16 boxes. Choose the expression that shows the total number of cereal boxes on display.
Answers
Answer:
16R = T or T = 16R
Step-by-step explanation:
R represents the unknown amount of rows and we know there are 16 boxes in each row.
This means to find the total number of boxes on display, you will have to times the number of rows by 16 as the clerk puts 16 boxes of cereal in each row
e.g, if there are 3 rows, then to find the total amount of cereal boxes, you would do 3 × 16 = 48
Since it's an expression, you need something to represent the total number so that can be represented by any letter ( I chose T ) — in most cases you can probably represent the total as x
Hence the expression should be 16R = T or T = 16R
...at least I think so
1) Find the perimeter of the composite figure below. . , .2) Choose of the shapes and find the area. . , .3) Choose of the objects and find the volume. . , .
Answers
Answer
1) 38 cm
2) 35 ft²
3) 2048 ft³
Step-by-step explanation
1) First, we need to find the length of the missing sides, as follows:
The perimeter, P, of the figure is obtained by adding the lengths of all its sides, as follows:
\(\begin{gathered} P=10+9+4+7+6+2 \\ P=38\text{ cm} \end{gathered}\)2) Choosing the triangle, its area is calculated as follows:
\(A=\frac{b\times h}{2}\)where b is the base and h is the height of the triangle.
Substituting b = 14 ft and h = 5 ft, we get:
\(\begin{gathered} A=\frac{14\times5}{2} \\ A=35\text{ ft}^2 \end{gathered}\)3) Choosing the rectangular pyramid, its volume is calculated as follows:
\(V=\frac{lwh}{3}\)where l is the base length, w is the base width, and h is the pyramid height
Substituting l = 32 ft, w = 12 ft, and h = 16 ft, we get:
\(\begin{gathered} V=\frac{32\times12\times16}{3} \\ V=2048\text{ ft}^3 \end{gathered}\)
determine what type of model bets fits the given situation: A $500 raise in salary each year
Answers
The type of model that best fits the situation of a $500 raise in salary each year is a linear model.
In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.
In the given case, the dependent variable is the salary and the independent variable is the year.
You may build a table to show that for increments of 1 year the increments of the salary is $500:
Year Salary Change in year Change in salary
2010 A - -
2011 A + 500 2011 - 2010 = 1 A + 500 - 500 = 500
2012 A + 1,000 2012 - 2011 = 1 A + 1,000 - (A + 500) = 500
So, you can see that every year the salary increases the same amount ($500).
In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).
In this case, m = $500 and b is the starting salary: y = 500x + b.
hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
Answers
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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transformed to create the graph of Y3x?
How is the graph of the parent function
O It is horizontally stretched by a factor of 3 and reflected over the y-axis.
It is translated 3 units down and reflected over the x-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis
It is translated 3 units down and reflected over the y-axis.
Answers
Answer:
The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.
kareem is paid 72 for working 8 hours how much would he have been paid to work only 5 hours
Answers
Answer:
If Kareem were to work for 5 hours, she would get paid $45.
Step-by-step explanation:
If she gets paid $72 for working 8 hours, you would need to find how much she gets paid per hour by doing \(72/8\).
Which then gives you $9 per hour, so then all you need to do is multiply $9 by the number of hours which in this case is 5 to get the answer of $45.
In the diagram, parallel lines l and m are cut by transversal t.
What is the value of x?
A.57
B.31
C.18
D.29
Answers
2(3/4)=5
3(4×2)=1
1/4+4/3
Answers
Answer:
1)
\(2( \frac{3}{4} )= 5 \\ \frac{3}{2} = 5 \\ 3 = 5 \times 2 \\ 3 = 10\)
2)
\(3( 4 \times 2) = 1 \\ 3(8) = 1 \\ 24 = 1\)
3)
\( \frac{1}{4} + \frac{4}{3} \\ \frac{1}{1} + \frac{1}{3} \\ 1 \times 3 + 1 \times 1 \\ 3 + 1 \\ 4\)
3. Find the volume of the following figure. 62 units 58 units 60 units) 64 units3
Answers
Answer:
60 units
Step-by-step explanation:
Its a 5 × 3 × 4 cube
To find volume multiply the dimensions and you will get 60
Answer:
60 units
Step-by-step explanation:
I did the test.
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
In triangle FGH, m∠F=59°
and m∠H=77
Complete the equation to determine m∠G
Answers
Answer: 44 degrees
Step-by-step explanation: 59+77+x=180
x=44
You are starting your first job as a salesperson at a clothing store. You receive a base salary of $10.00 per hour with time-and-a half for hours in excess of 40 hours per week. You also receive a 3% commission on your total sales.
Calculate your paycheck if you work 40 hours both weeks, plus you sell $3,000 worth of merchandise.
a
800
b
830
c
890
d
970
Answers
The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.
How is the paycheck calculated?The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.
Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.
Data and Calculations:Base salary = $10.00 per hour
Overtime pay = 1.5 of the base salary per hour
Work week = 40 hours
Commission on total sales = 3%
Sales for a month = $3,000
Commission on $3,000 sales = $900 ($3,000 x 3%)
Base salary for two weeks = $800 ($10 x 40 x 2)
Paycheck = $890 ($800 + $900)
Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.
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Back of Nico's truck is seven. 5 feet long 4 feet wide and 8 feet tall he has several boxes of important papers that he need to move each boxer papers is shaped like a cube measuring two. 5 feet on each side how many boxes of paper can Niko pack into the back of his truck
Answers
Answer:
Nico can fit 1.44 boxes of papers in the back of his truck.Step-by-step explanation:
First, find the area of Nico's truck's trunk space.
5x4=20
20x8=160
160+20=180
So, Nico's truck has a volume of 180f³
Now, lets find how many boxes can fit in his truck.
we know that each box is 5x5x5, that means we have to do 5x5x5 and then divide it by 180 to find our answer.
5x5=25
25x5=125f³
So now, if each box has a volume of 125f³
then, now let's divide.
180/125=1.44
So hence, Nico can fit 1.44 Boxes of papers in the back of his truck!
Thanks!
MiniMeteorologist
Which number line can be used to find the distance between (-1, 2) and (-5, 2)?
-7 6 5 4 3 2 1
+
2 3
0
1
+
6
-2 -1 0 1
2 3
4
5
7 8
1
2 3
-7 -6 -5 4 -3 -2 -1 0
1
2 3
4 5
-5 4 -3 -2 -1 0
Answers
Find the slope of the line passing through the points (-5, 3) and (7,9).
Answers
Answer:
\(\huge\boxed{slope=\dfrac{1}{2}=0.5}\)
Step-by-step explanation:
The formula of a slope:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
We have the points
\((-5;\ 3)\to x_1=-5;\ y_1=3\\(7;\ 9)\to x_2=7;\ y_2=9\)
Substitute:
\(m=\dfrac{9-3}{7-(-5)}=\dfrac{6}{7+5}=\dfrac{6}{12}=\dfrac{6:6}{12:6}=\dfrac{1}{2}\)
Answer:
1/2
Step-by-step explanation:
We can use the slope formula since we have 2 points
m = ( y2-y1)/(x2-x1)
= (9-3)/( 7 - -5)
= (9-3) /( 7+5)
= 6/ 12
= 1/2
What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answers
To create a factor tree for 42, we start by finding a pair of factors of 42, such as 2 and 21 and factor each branch until we have prime numbers.
Answer:
See below
Step-by-step explanation:
Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.
Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.
Which point is part of the solution of the inequality y ≤ |x+2|-3A.(-1,-1)B.(1,0)C.(0,0)D.(0,1)
Answers
We are going to test all options to see which is true and false.
The one that is true will be the point that is part of the solution.
\(\begin{gathered} A) \\ (-1,-1) \\ y\leq\lvert x+2\rvert-3 \\ -1\leq\lvert-1+2\rvert-3 \\ -1\leq\lvert1\rvert-3 \\ -1\leq1-3 \\ -1\leq-2 \\ \text{Not true, so the point (-1,-1) is not a part of the solution} \end{gathered}\)We will move to the next option and test:
\(\begin{gathered} B) \\ (1,0) \\ y\leq\lvert x+2\rvert-3 \\ 0\leq\lvert1+2\rvert-3 \\ 0\leq\lvert3\rvert-3 \\ 0\leq3-3 \\ 0\leq0 \\ \text{The above solution is true, so it is a point that is part of the solution.} \\ \text{The correct answer is option B.} \end{gathered}\)Help pleaseee!!! Michelle is a cosmetician working in Stafford and receives an annual salary of $49,809. She is paid every other Friday. Calculate what her check will be before deductions (gross income); then calculate her Medicare and Social Security (SS). What remains is her net income (take home pay). How much did she pay in deductions and what is her net income?
Answers
Answer:
Answer
0
Answer:
$806.04
ok, so there is an everage of 4.348 weeks in a month, so lets just go with 4 weeks in a month. so in total she loses 81.45%of her paycheck to taxes, then $25 on top of that. 28.00*40*4=4480. $4480*0.8145=$3648.96. she loses $3648.96, then add 25 to that, you get $3673.96. $4480-$3673.96=$806.04
Step-by-step explanation:
i am smart
Please help!!
One thousand people stood in a very large circle. Each person wore a sign on their back
with a numeral from 1 to 1000, in a clockwise sequence. They began counting off. The
first person, person A, said "one-in," and remained in the circle. Person B, the person to
the left of A, said "two-out," and left the circle. The person to the left of B, person C, said
"three-in," and remained in the circle. The person to the left, person D, said "four-out,"
and stepped out of the circle.
So it continued with each person wearing an odd number saying "in," and remaining in
the circle, and with every person wearing an even numeral leaving the circle.
It was easy to visualize who remained in the circle when the count off made it all the way
around back to the first person. Since the last person said "one thousand-out," person A,
the first person, said "one-in," and stayed in, while person C, now the next person, said
"three-out," and left the circle. This process would keep going on and on until only one
person was left in the circle.
Who was the last person standing?
Answers
The person who gets to say the last number, 1000, will be Person 6.
Here, we have,
In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.
When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.
Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.
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complete question:
10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number
13.5% of 1400 round to nearest hundredths
Answers
Answer:
189
Step-by-step explanation:
(13.5 / 100) 1400 = 189
yw ;)
You earn $200 per week plus 6.5% commission on your sales. If your sales are $2,500 how much will you earn this week?
Answers
Answer:
$2500 × 6,5% = 162,5
Step-by-step explanation:
therefore your commission is 162,5
Travis's income is $3400 a month, and he plans to budge 3/8 of his income of savings and 1/3 of his income for groceries.
Step 2: What amount of money does he intend to spend each month of these items together? Round your answer to the nearest dollar.
Answers
Travis's will spend each month is $2,408
How to calculate the amount Travis will spend each month ?Travis income is $3400
He plans to budge 3/8 of his income on savings
He also plans to give 1/3 of the income on groceries
The amount spent on savings is
= 3/8 × 3400
= 3 × 425
= 1,275
The amount spent on groceries is
1/3 × 3400
= 3400/3
= 1,133.33
The amount spent altogether is
1,133.33 + 1,275
= 2,408.3
Hence the amount Travis spent from his income each month is $2,408
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I know how to figure most of it out but when simplifying the parentheses how do you handle the outside 5 when it cannot go into the 6 ? Please show work
Answers
Answer:
Step-by-step explanation:
so it would be 25/6x +5
Consider the given probability histogram of a binomial
random variable.
What are the center and shape of the distribution?
0.4
A. Center: 2
Shape: symmetric
B. Center: 2.5
Shape: symmetric
C. Center: 2.5
Shape: slightly skewed
D. Center: 3
Shape: uniform
Answers
The center and shape of the distribution are 2.5 and symmetric. Then the correct option is B.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
\(X \sim B(n,p)\)
The probability that out of n trials, there'd be x successes is given by
\(\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\)
Then the center and shape of the distribution will be 2.5.
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Answer:
Center : 2.5 Shape: Symmetric
Step-by-step explanation:
Trust Fam
Is 8/17 a rational number
Answers
Answer:
Rational number.
Step-by-step explanation:
In order to be a rational number, a number needs to be expressible as a ratio of two integers with the denominator not being 0. Because both 8 and 17 are both integers and the denominator is not 0, it's a rational number.
Answer:
yes!
Step-by-step explanation:
both 8 and 17 are both integers.
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
Answers
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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Triangle RST with (2,0), s(-2,-3), and t(-2,3) reflected over the y axis. Find the coordinates and vertices
I
Answers
Step-by-step explanation:
The coordinates and vertices
which reflected over the y- axis are
r(-2,0) , s(2,-3) , and t(2,3).