Answer:
3
Step-by-step explanation:
Define the range of a list of numbers.
I'm not %100 percent certain because I learned that a long time ago.
Answer: 3
Step-by-step explanation:
The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.- source
SOO the first thing we have to do is find the smallest and largest numbers : 5 (smallest), 8 (largest).
Then we have to substract5 from 8 (8-5= 3)
The range is 3!
If you need extra help you can go to the site khanacademy as they give educational videos and practice on how to do the standards. Ever since I started using it I have become an A students.
I hope this helps and may God bless you! Have a nice day, bye!
Let f(x)=3(12)x+1. Which is equal to f(1)?
Answer:
just substitute the value of x as 1
f(x)=3(12)x+1
f(1)=3(12)(1)+1
f(1)=3(12)(1)+1
f(1)=36+1
f(1)=37
The "fear of negative evaluation" (FNE) scores for 11 random female students known to have an eating disorder (1) and 14 random female students who do not have an eating disorder (2) are collected. The higher the score, the greater is the fear of a negative evaluation.
Bulimic Students: 16, 8, 5, 15, 20, 14, 11, 16, 19, 8, 9
Normal Students: 10, 3, 13, 10, 5, 16, 20, 15, 8, 16, 4, 7, 12, 17
Assume the scores are normally distributed. The mean for the 11 students with an eating disorder is 13.82 and standard deviation 4.92. The mean for the 14 students who do not have an eating disorder is 13.14 and standard deviation 5.29.
Required:
a. Find a 95% confidence interval for the difference between the population means of the FNE scores for bulimic and normal female students. (Round to two decimal places as needed.)
b. Interpret the result of the confidence interval.
A. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is outside the confidence interval.
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval.
C. We are 5% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval.
D. We are 5% confident that the difference in mean FNE scores for bulimic and normal students is outside the confidence interval.
c. What assumptions are required for the interval of part (a) to be statistically valid? Select all that apply.
Answer:
a. The 95% confidence interval for the difference in mean is C.I. = -3.6 < μ₂ - μ₁ < 4.96
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval
c. The assumptions made are;
The variance of the two distributions are equal
Step-by-step explanation:
The given parameters are;
The mean for the 11 students with an eating disorder, [tex]\overline x_1[/tex] = 13.82
The standard deviation for the 11 students with an eating disorder, s₁ = 4.92
The mean for the 14 students who do not have an eating disorder, [tex]\overline x_2[/tex] = 13.14
The standard deviation for the 14 students with an eating disorder, s₂ = 5.29
a. The 95% confidence interval for the difference in mean is given as follows;
[tex]\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{ \hat \sigma^2 \times\left( \dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right)}[/tex]
The pooled standard deviation, is therefore;
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
Therefore;
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 11-1 \right )\cdot4.92^{2} +\left ( 14-1 \right )\cdot 5.29^{2}}{11+14-2}} \approx 5.13241[/tex]
Where at degrees of freedom, df = n₁ + n₂ - 2 = 25 - 2 = 23 the critical-t = 2.07
\left (13.82- 13.14 \right )\pm 2.07 \times\sqrt{5.13241^2 *(\dfrac{1}/{11}+\dfrac{1}{14}\right)}
[tex]C.I. = \left (13.82- 13.14 \right )\pm 2.07 \times\sqrt{5.13241^2 \times\left(\dfrac{1}{11}+\dfrac{1}{14}\right)}[/tex]
Therefore, we get;
[tex]C.I. = 0.68\pm 4.28[/tex]
C.I. = -3.6 < μ₂ - μ₁ < 4.96
b. Therefore, given that the confidence interval extends from positive to negative, therefore, there is a possibility that there is no difference between the mean FNE scores for bulimic and normal students
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval
c. The assumptions made are;
The variance of the two distributions are equal
Labor economists have extensively researched the determinants of earnings. Invest-ment in human capital, measured in years of education, and on the job training aresome of the most important explanatory variables in this research. You decide toapply earnings functions to the field of sports economics by finding the determinantsfor baseball pitcher salaries. You collect data on 455 pitchers for the 1998 baseballseason and estimate the following equation using OLS and heteroskedasticitv-robust standard errors:
Ln (Eami) = 12.45 + 0.052 x Years + 0.00089 x Innings + 0.0032 x Saves
(0.08) (0.026) (0.00020) (0.0018)
- 0.0085 x ERA, R^2 = 0.45, SER = 0.874
(0.0168)
where Earn is annual salary in dollars, Years is number of years in the major leagues, Innings is number of innings pitched during the career before the 1998 season, Saves is number of saves during the career before the 1998 season, and ERA is the earned run average before the 1998 season.
A) What happens to earnings when the pitcher stays in the league for one additional year? Compare the salaries of two relievers, one with 10 more saves than the other. What effect does pitching 100 more innings have on the salary' of the pitcher? What effect does reducing his ERA by 1.5? Do the signs correspond to your expectations? Explain.
B) Are the individual coefficients statistically significant? Indicate the level of significance you used and the type of alternative hypothesis you considered.
C) Although you are quite impressed with the fit of the regression, someone suggests that you should include the square of years and innings as additional explanatory variables. Your results change as follows:
Ln (Eami) = 12.15 + 0.160 x Years + 0.000268 x Innings + 0.0063 x Saves
(0.05) (0.039) (0.00030) (0.0010)
-0.0584 x ERA - 0.0165 x Years - 0.00000045 x Innings
(0.0165) (0.0026) (0.00000012)
R^2 = 0.69, SER = 0.666
What is her reasoning? Are the coefficients of the quadratic terms statistically significant? Are they meaningful?
D) Calculate the effect of moving from two to three years, as opposed to from 12 to 13 years.
E) You also decide to test the specification for stability across leagues (National League and American League) by including a dummy variable for the National League and allowing the intercept and all slopes to differ. The resulting F-statistic for restricting all coefficients that involve the National League dummy variable to zero, is 0.40. Compare this to the relevant critical value from the table and decide whether or not these additional variables should be included.
Answer:
Kindly check explanation for other solutions
Years, Inning and saves are statistically significant ; ERA is not.
Step-by-step explanation:
Earning for staying one additional year :
Multiply slope value of years * 1 = 0.052 * 1 * 100 % = 5.2% (earning increases by 5.2%)
Relives with 10 more saves :
10 * 0.0032 * 100% = 3.2% (earning increases by 3.2%)
Having 100 more innings :
100 * 0.00089 * 100% = 8.9%
If ERA is reduced by 1.5 ; earning will increase by (0.0085*100)% * 1.5 = 1.275%
B.) At 5% level of confidence :
α = 1.64
Years = 0.052/0.026=2
Inning = 0.00089/0.00020 = 4.45
Saves = 0.0032/0.0018 = 1.78
ERA = 0.0085/0.0168 = 0.51
Years, Inning and saves are statistically significant as they are greater than α ; As for ERA, it is not statistically significant (0.51 < 1.64)
If 40% of a number is 28, find 10% of that number.
Answer: 7
Step-by-step explanation:
A park is in the shape of an isosceles triangle with a base of 56 feet. The perimeter of the park is 190 feet. How long is each of the equal sides of the park?
9514 1404 393
Answer:
67 feet
Step-by-step explanation:
The perimeter is the sum of the base length and the two equal sides (s).
190 = 56 +2s
134 = 2s . . . . . . subtract 56
67 = s . . . . . . . . divide by 2
Each of the equal sides is 67 feet long.
Find the sum of the angle measure of a hexagon
Answer:
120°
Shape Sides Each Angle
Hexagon 6 120°
If an object moves in uniform circular motion in a circle of radius R = 2.00 meters, and the object takes 5.00 seconds to complete ten revolutions, calculate the centripetal acceleration. ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. a= _____ m/s2 39.4 m/s 2 100. m/s 2 158 m/s 2 50.2 m/s 2
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
hiiii....
Step-by-step explanation:
b)2and4 only
Jericho takes 3 test in one month the number of correct answers and the total number of questions on each test are shown in the table list the test in order from the least percent of questions correct to the greatest percent of question
Test Correct answers Total questions
Science 36 40
History 23 25
Math 44 50
hellllllp !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
N is the midpoint.
Step-by-step explanation:
A game show is offering a prize of 1 cent on the first day , 3 cents on the second day 9 cents on the third day , etc. What is the total amount of money earned from this prize in two weeks ?
Answer:
$15943.23
Step-by-step explanation:
each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer
Answer:
2,391,4.84 dollars
Step-by-step explanation:
1, 3 , 9...
on the 1st day, 3^0
on the 2nd day, 3^1
on the 3rd day, 3²
:
one the 14th day, 3^(14-1)
=> 3^13
=> 1,594,323
"Total about of money" => have to add up the money from the 1st day to the 14th day:
1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484
For every 16 mango trees in the orchard, there are 8 coconut trees. If there are 1320 trees. How many trees of each kind are there?
SHOW PROCESS PO pa help po need ko po ngayon:(
I BRAINLIEST ko po yung tamang sagot :(
Answer:
let's say coconut trees is X is there from mango trees will be 2X
Step-by-step explanation:
2x+x=1320
3x=1320
divide both sides by three
3x/3=1320/3
x=440(coconut)
2x=880(mango)
The cost of a sweatshirt at a sporting-goods store is in n dollars. Sales tax is 8%. Which expressions represent the cost of a sweatshirt including sales tax? HELP ME PLEASE
Answer:
n + 0.08n
Step-by-step explanation:
The expression that should represent the cost of the sweatshirt involving sales tax is given below
Since it is given that the cost of the sweatshirt be n dollars
And, the sale tax is 8%
So, the expression should be
= n + n × 0.08
= n + 0.08n
Hence, the expression is n + 0.08n
The same would be considered and relevant too
How many 5-letter arrangements of the letters T, E, X, A, S can be created if each
letter is used only once?
Answer:
Well theres Texas of course then Taxes..then i dont know any more that make sense
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated☁
Hope this helps!!
- Brooklynn Deka
There are 120 ways to arrange 5 letter wor with each letter is used only once.
What is Permutations?A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.
Here, 5 letters are arranged in 5! ways
5! = 5 X 4 X 3 X 2 X 1
= 120
Thus, there are 120 ways to arrange 5 letter wor with each letter is used only once.
Learn more about Permutations from:
https://brainly.com/question/1216161
#SPJ2
Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?
Answer:
answer is J because if we lay out the information we will understand it
The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We're specified that:
x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Similarly, we get:
Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)
Thus, we got a system of equations in x and y as:
[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)
Learn more about forming equations here:
https://brainly.com/question/11938672
What is the equation of g(x)?
The graphs of f(x) = 5x and its translation, g(x), are
shown on the graph.
30 ly
25
12,25)
O g(x) = 5*-9
O g(x) = 5x-10
g(x) = 5x – 9
g(x) = 5x – 10
20-
х
15
(2, 15)
10-
(1,57
f(x) (01)
计
6 5 4 3 2 -15
2
(1,-5)
wo
g6x)
(0-9)
-15
20
-25
30 -
Answer:
the third option: g(x) = 5^x - 9
Step-by-step explanation:
identify the y-intercept, which is (0, -9)
find the option with: y = mx - 9
↑ the y-intercpet
The equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
The function f(x) is given as:
[tex]f(x) =5^x[/tex]
From the graph, the function f(x) is shifted down by 9 units
The rule of this transformation is represented as:
[tex](x,y) \to (x,y-9)[/tex]
So, we have:
[tex]g(x) =f(x) - 9[/tex]
Substitute [tex]f(x) =5^x[/tex]
[tex]g(x) =5^x - 9[/tex]
Hence, the equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
Pls help with this question pls and thx!
What is the volume of the cone?
Use 3.14 for π, and round to the nearest tenth.
Volume =
1 πr2h
3
=
1 ×π×22×7
3
= 29.321531433505 miles3
how many outfits can you make out of 2 helmets, 6 shirts, and 2 pairs of shorts
Answer:
2 OUTFITS
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
2&7
6&3
Definition:
angles located at opposite positions between the two lines that are intersected by a transversal.
Step-by-step explanation:
X^2+3x-18 what are the zeros of r(x)?
Answer:
Step-by-step explanation:
18 has factors of 9 and 2 or 6 and 3
Those factors must differ by 3, so 6 and 3 in some order is your answer.
(x + 6) (x - 3) = r(x)
You have to make x a value that turns the factor into 0.
x + 6 = 0
x = - 6
x - 3 = 0
x = 3
So the zeros are (3,0) and (- 6,0)
15 cm
15 cm
16 cm
20 cm
57 cm
What is the perimeter of the polygon?
Answer:
C.
Step-by-step explanation:
15 x 16=240 x 2= 480
57 x 20= 1140
1140 + 480 = 1620
What’s the correct answer for this question?
Answer:
10
Step-by-step explanation:
2(6+1) - |-10| + 3*2
= 2 (7) - (+10) + 6
= 14 - 10 + 6
= 20 - 10
= 10
Answer: 10
Step-by-step explanation:
Given
2 ( 6 + 1 ) - | -10 | + 3 × 2
Expand parenthesis
= 12 + 2 - | -10| + 3 × 2
Simplify absolute value
= 12 + 2 - 10 + 3 × 2
Do multiplication
= 12 + 2 - 10 + 6
Simplify
= 14 - 4
= 10
Hope this helps!! :)
Please me know if you have any questions
please help i don't get this
Answer:
-4
Step-by-step explanation:
Maori created this shape out of construction paper using a ruler and scissors. She made sure that all of her angles were right angles.
What is the area of Maori's shape?
A) 36 cm2
B) 48 cm2
C) 90 cm2
D) 102 cm2
Answer:
B) 48cm²
Step-by-step explanation:
find the area of the 2 rectangles
A = bh
A = 9×4
A = 36
A = bh
A = 6×2
A = 12
add them up you get 48cm²
Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 390 grams, how long would it be until the mass of the sample reached 260 grams, to the nearest tenth of a year?
Answer:
It will take 15.029 years for element X to reach mass of 260 grams
Step-by-step explanation:
The half life period of radioactive element X is 26 years
The initial mass of radioactive element X is 260 grams
Elapsed time = half life * log (beginning amount /ending amount)/log 2
Substituting the given values, we get
Elapsed time = 26 * log (390/260)/log 2
= 15.209 years
Out of 24 cookies,
3
4
are chocolate chip. How many cookies are chocolate chip?
Answer:
18 cookies
Step-by-step explanation:
3/4 = 75%
75% = 0.75
Multiply this by 24 = 18 cookies
Calculate sales tax using the following information: Taxable amount of the sale: $ 189 Sales tax percentage: 6 % What is the amount of the sales tax? Round the answer to the nearest cent (hundredths).
Answer:
$11.34
Step-by-step explanation:
6% of $189 =
= 0.06 * $189
= $11.34
help me please!
game board has a
spinner with 10 equal-sized sections, of which
4 are green, 3 are blue, 2 are yellow, and 1 is
red. What is the sum of the probabilities of the
pointer landing in the green, blue, yellow, and
red sections? Explain.
Answer:
1 or 100%Step-by-step explanation:
There are 4 colors and if the sum of the probabilities involves all those colors, then it equals to 1.
Calculation as below:
P(g) = 4/10P(b) = 3/10P(y) = 2/10P(r) = 1/10The sum is:
4/10 + 3/10 + 2/10 + 1/10 = 10/10 = 1In a geometric sequence, a2=2, a3=16, and a4=128.
Which equation can be used to find the nth term of the sequence, an?
an=8⋅2n−1
an=2n−1
an=14⋅8n−1
an=2⋅14n−1
Answer:
an = 1/4(8)^n-1
Step-by-step explanation:
Given the following in a geometric sequence, a2=2, a3=16, and a4=128.
nth term of a sequence = ar^n-1
a is the first term
r is the common ratio
r = a3/a2 = a4/a3
r = 16/2 = 128/16
r = 8
a2 = ar
2 = 8a
a = 2/8
a = 1/4
The nth term by substituting the parameters will be;
an = 1/4(8)^n-1