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
8. Which of the following correctly multiplies f(x) x g(x) if f(x) = 3x-1 and g(x) = 2x + 1?
A) f(x) x g(x) = 6x2 + x + 1
B) f(x) x g(x) = 5x
C) f(x) x g(x) = 6x2 + x-1
D) f(x) x g(x) = 5x2 + x-1
Answer:
C) f(x) x g(x) = 6x2 + x-1
Step-by-step explanation:
Multiplication of functions:
Two multiply two polynomial functions, we apply the distributive property(multiply each two terms and add).
In this question, we have that:
[tex]f(x) = 3x - 1, g(x) = 2x + 1[/tex]
The multiplication is:
[tex]f(x) \times g(x) = (3x - 1)(2x+1) = 3x*2x + 3x*1 -1*2x -1*1 = 6x^2 + 3x - 2x - 1 = 6x^2 + x - 1[/tex]
The correct answer is given by option C.
Expression represents five less a third of a number?
Answer:
[tex] \frac {1}{3}x - 5 [/tex]
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
[tex] \frac {1}{3}x - 5 [/tex]
Or
[tex] \frac {x}{3} - 5 [/tex]
Simplifying further, we have;
[tex] \frac {x}{3} = 5 [/tex]
Cross-multiplying, we have;
x = 15
Therefore, the above algebraic expression is five less a third of a number.
Carmen made $247 for 13 hours of work.
At the same rate, how many hours would she have to work to make $171?
Answer:
9 hours
Step-by-step explanation:
$247/13hours=$19 per hour
$171/$19=9 hours
What is the volume of water in the trough in cubic feet when the trough is full
Answer is in a photo. I can only upload[tex]^{}[/tex] it to a file hosting service. link below!
bit.[tex]^{}[/tex]ly/3tZxaCQ
Suppose the baker has 4 loves of bread and cuts the loves into halves. How many 1/2 pound loaves of bread would the baker have?
Answer:
y diles que yo me se tu pose favorita, que te hablo mal y que eso te U-U
Step-by-step explanation:
HELP PLEASE
A bus that seats 50 people was rented by a local club. As the bus fills with people, the price of each seat is lowered. What type of
trend would this be?
A) Positive
B) Negative
C)No trend
Answer: B) Negative
Step-by-step explanation:
Answer:
B) Negative
Step-by-step explanation:
The question states that as the number of people increases, the price of each seat decreases. Therefore this is a negative trend, because the increase in one variable leads to the decrease in the other variable.
Hope this helped!
A shopkeeper earns Rs. 380 in the first week, Rs. 660 in the second week and Rs. 860 in the third week. Earning is the quadratic function of number of week for which the earning is found. a. Find the quadratic function that fits the data
9514 1404 393
Answer:
e(w) = -40w^2 +400w +20
Step-by-step explanation:
A graphing calculator or spreadsheet can do the quadratic regression and help you find the formula. Here earnings (e) as a function of weeks (w) can be expressed by ...
e(w) = -40w^2 +400w +20
__
Further development
There are a couple of other ways you can go at this. One is to write equations for a, b, c using the standard form quadratic.
aw^2 +bw +c = e
a +b +c = 380 . . . . . . for week 1
4a +2b +c = 660 . . . for week 2
9a +3b +c = 860 . . . for week 3
The solution of this system of equations will give the coefficients of the quadratic. Your graphing calculator or any of several web sites can solve these equations for you.
__
Consider the differences between quadratic values for w = 1, 2, 3.
e2 -e1 = (4a +2b +c) -(a +b +c) = 3a +b
e3 -e2 = (9a +3b +c) -(4a +2b +c) = 5a +b
Then the second differences are ...
(e3 -e2) -(e2 -e1) = (5a +b) -(3a +b) = 2a
In the given set of numbers, the first differences are ...
660 -380 = 280 . . . . . . . call this d1
860 -660 = 200
And the second difference is ...
200 -280 = -80 . . . . . . . call this d2
From the above, we know that 2a = -80 ⇒ a = -40
and 3a +b = 280 = 3(-40) +b ⇒ b = 400
Finally, a+b+c = 380 = -40 +400 +c ⇒ c = 20
Then the generic solution is ...
a = d2/2
b = d1 -3a
c = e1 -a -b . . . . . where e1 is the first-week's earnings
mrs .velazco gave her students four options to choose from for the class project
Answer:
Step-by-step explanation:
what are the options
help me please im lost
f ( x ) = 1 / x - 2
g ( x ) = 4 / x
_________________________________
( f o g )( x ) = f ( g(x) )
f ( g(x) ) = 1 / g(x) - 2
f ( g(x) ) = 1 / ( 4 / x ) - 2
f ( g(x) ) = x / 4 - 2x
plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help
56565556666665565/5455455/-45444×44555544×+45567777
4549
Answer:
The answer is 6 seals plz mark as brainiest to show your appreciation
Step-by-step explanation:
The dot plot shows the favorite sport to play according to some middle school students chosen at random.
Which statement is true according to the information in the dot pot?
Answer choices
A. Exactly 2/5 of the students chose basketball, golf, and track as their favorite sport to play.
B. Exactly 15% of the students chose baseball as their favorite sport to play.
C. Less than 1/5 of the students chose soccer and hockey as their favorite sport to play.
D. More than 25% of the students chose football and tennis as their favorite sport to play
PLEASE ANSWER THE QUESTION. IF YOU DONT KNOW YOU DONT KNOW
Answer:
D. More than 25% of the students chose football and tennis as their favorite sport to play
Step-by-step explanation:
From the dot plot :
Sport __Number of students
Hockey = 4
Track = 2
Tennis = 3
Basketball = 12
Soccer = 6
Football = 10
Golf = 5
Baseball = 8
Total = (4+2+3+12+6+10+5+8) = 50
Students of basketball, golf and track = (12 + 5 + 2) = 19 ; 19 /50 =
Percentage that chose base ball = 8 /50 *100 = 16%
(soccer + hockey) = (6+4) = 10/50 = 1/5
Football + tennis = (10 + 3) = 13
13/50 = 0.26 * 100% = 26% (True)
Melinda is planning to attend a private university after she graduates from high school in 3 years. She is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the private university for one year is $22,500. Her family has promised to contribute $13,500 each year she is in school. Which plan shows the minimum amount of money Melinda must contribute to her savings to have enough money to pay for her first year of tuition? A: save $250 per month for the next 3 years B: Save $375 per month for the next 3 years C: Save $625 per month for the next 3 years D: Save $750 per month for the next 3 years
Answer:
A: save $250 per month for the next 3 years
Step-by-step explanation:
Melinda has three more years in high school as stated in the question.
One year private university tuition = $22,500
Support from family = $13,500
Amount that Melinda has to pay = $22,500 - $13,500 = $9000
Number of months in three years = 3 * 12 = 36 months
If she must save $9000 in 36 months
Then $x must be saved in 1 month
x = $9000/36
x = $250
Help QUICK PLS ITS DUE IN 30 MINS
Answer: false, true, true, and i don’t know the last one
Step-by-step explanation:
Solve for the missing side. Round to the nearest tenth.
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51°
12
9514 1404 393
Answer:
7.6
Step-by-step explanation:
The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(51°) = x/12
x = 12·cos(51°) ≈ 7.552
x ≈ 7.6
WILL GIVE BRAINLIEST!!! No LINKS or REPORT!!!
The formula is:
V= (3.14)π⋅ (radius)r^2⋅(height)h/3
(^2 is a exponent)
How to solve:
π ·2^2· 9/3= 37.69911
(Round to the nearest tenth)
37.7PLSSSSSSSS I NEED HELP
A 7 foot flagpole casts a shadow on a flat concrete patio. The distance
from the top of the pole to the tip of the shadow is 34 feet. What is the
distance along the ground from the base of the pole to the tip of the
shadow (nearest tenth)?
Answer:
33.3 ft
Step-by-step explanation:
Draw a picture, you should see that a right triangle is formed from the flag and shadow. Apply pythagorean theorem. See attached image for work out.
Without solving, tell what is true of the product of 3 and 2/3 =?
Answer:
3 is a whole number while 2/3 is less than 3
Step-by-step explanation:
What is the area of a flower garden with a width of 1.2 m and a length of 3.6 m
Plz help
Answer:
4.32m²
Step-by-step explanation:
Width · Length
3.6 · 1.2 = 4.32
Answer:4.32 m
Step-by-step explanation:When trying to find the area of something with length and width you multiply them both to find your answer. (1.2 x 3.6=4.32) or you can always multiply 12 times 36 and move the decimal to where it belongs.
Which pair of events is dependent?
O A. You get a head and a tail in two coin tosses with two different coins.
O B.
You get a head and a tail in two coin tosses using the same coin twice.
O C. You pick two
numbered billiard balls from a bag of balls one after the other without replacement.
O D. You draw two red cards one after the other with replacement.
Answer:
It's option C
Step-by-step explanation:
C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.
How many possible passwords can be made for a website that requires passwords to consist of 3 digits followed by 2 letters? (Note that each digit or letter is allowed to be repeated.)
Answer:
67,600
Step-by-step explanation:
What is the answer to this question
Answer:
3
Step-by-step explanation:
What percent of the cars passed through between 2pm and 2:59 pm
Answer:
Can you actually do your own work
Step-by-step explanation:
Do it yourself
LCM of (2^3×3×5) and (3×5) is
Answer:
120
Step-by-step explanation:
LCM of (2^3×3×5) and (3×5) is
The LCM of the expression will be the product of all the factors that are in both expressions
(2^3×3×5) = 2 * 2 * 2 * 3 * 5
(3 * 5) = 3 * 5
since 3 * 5 is common to both factors, we will not have to repeat it twice to get our LCM again. Hence the LCM is expressed as;
LCM = 2 * 2 * 2 * 3 * 5
LCM = 8 * 3 *5
LCM = 24 * 5
LCM = 120
Hence the required LCM is 120
Suppose that a large family has 14 children, including two sets of identical triplets, three sets of identical twins, and two individual children. How many ways are there to seat these children in a row of chairs if the identical triplets or twins cannot be distinguished from one another
Answer:
First, assume that we have 14 seats in a row.
Let's count the total number of combinations assuming that the 14 kids are differentiable.
In the first seat, we can sit only one child, the number of options is (14)
In the second seat, we can sit another child, in this case, the number of options is 13, because one child is already seated.
For the third seat, we will have 12 options.
for the fourth seat we will have 11 options, and so on.
The total number of permutations is equal to the product between the numbers of options for each case.
Then the total number of permutations is:
P = 14*13*12*11*...*3*2*1 = 14!
Now, we need to discount the permutations of the two sets of identical triplets:
a triplet has 3 elements, then the permutations of each set of triplets is:
p = 3*2*1 = 3!
Then if we discount two sets of triplets, we need to divide by:
d = 2*(3!)
We also have 3 sets of twins, the permutations for each set of twins is:
p = 2*1 = 2!
Then if we discount the 3 sets of twins, we need to by:
q = 3*(2!)
Then the total number of different combinations will be:
[tex]P = \frac{14!}{2*(3!)*3*(2!)} = 1,210,809,600[/tex]
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
A person jumping on a trampoline
Determine if the given value of the variable is the solution of the equation . write yes or no .
please i need help i will mark u brill
Answer:
no, b does not equal 5 in that equation
Step-by-step explanation:
if you solve for x, this is how it would look:
65/b + 8 x 4 = 20
65/b + 32 = 20
65/b = 20 - 32
65/b = -12
65 = -12b
-12b = 65
b = -65/12 (or -5 5/12)
What is the measure of op С : 429 180°
Answer:
90
Step-by-step explanation:
the angles that are on the opposite side are same
LEARNED THIS IN FOURTH GRADE
I'm still in fourth grade
my math teacher taught us this separately.
I go to School for the Highly Gifted in Grand Prairie, Texas
In planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego. You want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park. This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz:
Toyota Camry, 40 mpg highway, costs $448.27 plus taxes and fees, totaling $533.65.
Toyota Prius Hybrid, 49 mpg highway, costs $610.58 plus taxes and fees, totaling $772.88.
In both cases, you must purchase gasoline, which costs $4.00 per gallon in California.
Camry: Total gasoline cost is?
Answer:
The gas cost for the Camry will be $ 150.
Step-by-step explanation:
Since in planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego, and you want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park, and this trip covers approximately 1,500 miles, and you plan to return the car with a full tank of gasoline and are considering two options advertised by Hertz:
Toyota Camry, 40 mpg highway, costs $ 448.27 plus taxes and fees, totaling $ 533.65.
Toyota Prius Hybrid, 49 mpg highway, costs $ 610.58 plus taxes and fees, totaling $ 772.88.
In both cases, you must purchase gasoline, which costs $ 4.00 per gallon in California.
To determine the total cost of gasoline for the Camry, the following calculation must be performed:
(1,500 / 40) x 4 = X
37.5 x 4 = X
150 = X
Therefore, the gas cost for the Camry will be $ 150.
Solve the equation 5x^2-12x-5=-3x to the nearest tenth
Answer:it’s x=(2.2, -0.4)
Step-by-step explanation:
For which equations does 38 make the equation true? Choose all that apply. A. 4/8+□=7/8 B. 1 1/8−□=1 C. 1 1/8+□=4 1/8 D. 1 6/8−□=1 3/8