Answer:
H0 : μD = μN
H0 : μD > μN
Test statistic = 2.192
Pvalue = 0.017
there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.
Step-by-step explanation:
Given the data:
n1 = 22 ; x1 = 52.1 ; s1 = 45.1
n2 = 22 ; x2 = 27.1 ; s2 = 26.4
H0 : μD = μN
H0 : μD > μN
The test statistic :
(x1 - x2) ÷ (Sp*√(1/n1 + 1/n2))
Sp = (n1 - 1)s1² + (n2 - 1)s2²] ÷ (n1 + n2 - 2)
Sp = √[((21 * 45.1^2) + (21 * 26.4^2)) ÷ 42]
Sp = 36.952469
Test statistic :
(52.1 - 27.1) ÷ Sp * √(1/21 + 1/21))
25 ÷ (36.952469 * 0.3086066)
25 ÷ 11.4037758196954
Test statistic = 2.192
Using the Pvalue from Test statistic calculator :df = 42, Tscore = 2.192
Pvalue = 0.017
α = 0.05
Pvalue < α
Hence, there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.
Inez carved a wooden cone from a
cylindrical piece of wood. The cylindrical
piece of wood had a radius of 3 inches
and a height of 15 inches. The cone had
the same radius as the cylinder but was
2 inches shorter. About what volume of
wood did Inez remove from the cylinder to
make the cone?
Answer:
123 inches³
Step-by-step explanation:
Hi there!
Objective: Find the volume of the cone
We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.
Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the cone and h is its height
Plug in the known information (r=3 and h=13)
[tex]V=\frac{1}{3} \pi (3)^2(13)\\V=\frac{1}{3} \pi (9)(13)\\V=\frac{1}{3} \pi(117)\\V=39\pi\\V=123[/tex]
Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.
I hope this helps!
When rounded to the ten thousands place, which of the numbers below round to 230,000? Select all that apply
During a recent football season, the relationship between the number of points a team scored and the number of wins a team had is modeled by the equation
w = 0.031p – 3.81, where w is the number of wins and p is the number of points scored. One team in the league scored 444 points and had 12 wins.
What is the residual of that team’s win total?
A. – 2.046
B.– 1.764
C.1.764
D.2.046
P.S- I need the answer fast its due at 7pm PLS HELP
Answer:
2.046
Step-by-step explanation:
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch, they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 1 n. What could the variable n in the expression represent if you know Margaret collected some cans in the afternoon?
Answer:
hm
Step-by-step explanation:
Answer:
N would represent days
Step-by-step explanation:
the question says at the end of the day
PLEASE HELP Find
y, such that ABC ~ DEF.
Answer:
[tex]y =12[/tex]
Step-by-step explanation:
Given
ABC similar to DEF
Required
Find y
To do this, we make use of the following equivalent ratios.
[tex]AB : AC = DE : DF[/tex]
Using the values in the attachment, we have:
[tex]9 : 18 = 6 : y[/tex]
Express as fraction
[tex]\frac{9 }{ 18 }= \frac{6 }{ y}[/tex]
[tex]\frac{1 }{2 }= \frac{6 }{ y}[/tex]
Solve for y
[tex]y = 6 * 2[/tex]
[tex]y =12[/tex]
Explain why 2/3 x 12 can be written as 2 x 12 divided by 3.
Answer and Step-by-step explanation:
[tex]\frac{2}{3}[/tex] × 12 can also be written as [tex]\frac{2 * 12 }{3}[/tex] because the 12 is multiplying the numerator of the fraction.
12 can also be written as [tex]\frac{12}{1}[/tex].
When we solve, this is what is happening:
[tex]\frac{2}{3}[/tex] × [tex]\frac{12}{1}[/tex]
The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.
#teamtrees #PAW (Plant And Water)
Answer:
I don't know, other than because it's the same thing and it just can.
Step-by-step explanation:
2 x 12 ÷ 3 is longer when written out but it is simpler to solve.
Plzz help!!!!
Which set of ordered pairs corresponds to the graph?
Answer:
Option 3rd is correct
Step-by-step explanation:
(1,-6),(2,-4),(2,-2),(4,-2),(6,0)
Determine the measure of angle BZC.
Answer:
70 degrees
Step-by-step explanation:
Angle BZA = Angle BZC = 20 degrees
Reason : These two angles are Vertically opposite angles.
Angle BZA + Angle BZC = 90
20 + Angle BZC = 90
Angle BZC = 90 - 20
Angle BZC = 70 degrees
Muhammad Ali Jinnah Story
Answer:
Muhammad Ali was one of the greatest boxers in history, the first fighter to win the world heavyweight championship on three separate occasions. In addition, he was known for his social message of black pride and black resistance to white domination and for refusing induction into the U.S. Army during the Vietnam War.His quickness and mobility was a His quickness and mobility was a revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.
X-2 is a factor of f(x) = x3 – 2x2 + ax +
+18. State the remainder when f(x) divided
by x-9.
Answer:
answer is in the picture above
Answer:
remainder: 504
Step-by-step explanation:
x³ – 2x² + ax +18 = x²(x-2) - 9*(x-2)
a = -9
(x³ – 2x² - 9x +18) / (x-9) = (x² +7x + 54)(x-9) + 504 ... long division
Select the correct answer. Which of these is a key feature of an experimental study? A. The treatment in the experiment should be simple enough for each individual in the experimental group to understand. B. The treatment in the experiment must vary for each individual in the experimental group. C. The treatment in the experiment must be applied to each of the individuals in the experimental group. D. The treatment in the experiment should be short so that each individual is tested quickly.
Answer:
C. The treatment in the experiment must be applied to each of the individuals in the experimental group.
Step-by-step explanation:
Experimental studies are the studies in which the researcher introduced the intervention and the impact of the study. It usually randomized.
Moreover, it must be applied for each and every individual in the experimental group as the variables & conditions would be vary and the same would be applied so that the actual results may be concluded
Hence, the option c is correct
Find the volume of the composite solid shown in figure
Answer:
113.14cm^3
36π cm^3
Step-by-step explanation:
the composite solid is made up of a cylinder and a hemisphere
volume of solid = volume of cylinder + volume of hemisphere
volume of a cylinder = nr^2h
n = 22/7
(22/7) x (3^2) x 2 = 56.57 cm^3
or in terms of pi = 18π
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
(2/3) x (22/7) x (3^3) = 56.57 cm^3
or in terms of pi = 18π
volume of solid = 56.57 cm^3 x 2 = 113.14cm^3
or 18π x 2 = 36π cm^3
56.57
The stadium has fixed expenses of $10,000 per event. Last month it put on three major events and spent $72,000, $47,500, and $65,000 in advertising for them respectively. According to the accountant, these events earned a total of $482,000 in revenue. What was the stadium's profit margin last month?
Answer:
267,500
Step-by-step explanation:
10,000 × 3 = 30,000
30,000 + 72,000 + 47,500 + 65,000 = 214,500
482,000 - 214,500 =267,500
The stadium's profit margin last month was 267,500 dollars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that stadium has fixed expenses of $10,000 per event.
Since it put on three major events and spent $72,000, $47the,500, and $65 this event raising for them last month respectively
Thus,
10,000 × 3 = 30,000
Total = 30,000 + 72,000 + 47,500 + 65,000 = 214,500
According to the accountant, total amount these event earned ;
$482,000 in revenue.
So,
482,000 - 214,500 =267,500
Hence, the stadium's profit margin last month was 267,500 dollars.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ6
Find the slopes of the lines containing the following. (If an answer is undefined, enter UNDEFINED.)
a)
b)
c)
d)
e)
f)
Answer:
Step-by-step explanation:
a)
m = y2-y1 / x2-x1
P1 = (3,-4) as (x1,y1)
P2= (5,6) as (x2,y2)
m = 6-(-4) / 5 - 3)
m = 6+4 / 2
m = 10 / 2
m = 5
b)
m = y2-y1 / x2-x1
P1 = (5,-3) as (x1,y1)
P2= (5,6) as (x2,y2)
m= 6-(-3) / 5-5
m = 6+3 / 0 ( the world blows up when you divide by zero :0 undefined )
c)
m = y2-y1 / x2-x1
P1 = (1,-1) as (x1,y1)
P2= (8,-8) as (x2,y2)
m = -8-(-1) / 8-1
m = -8+1 / 7
m = -7 / 7
m = -1
d)
m = y2-y1 / x2-x1
P1 = (-2.8,2) as (x1,y1)
P2= (-1.2,2) as (x2,y2)
m = 2-2 / a number 0 because the numerator is 0 and there is a number in the denominator
e)
m = y2-y1 / x2-x1
P1 = (c,d) as (x1,y1)
P2= (e,f) as (x2,y2)
m = f-d / e-c that's all you can do until we're given those variables
f)
m = y2-y1 / x2-x1
P1 = (0,c) as (x1,y1)
P2= (d,0) as (x2,y2)
m = 0-c / d-0
m = -c /d
Question
The area of a rectangle is 1,367 square feet. The length is 60 feet. What is the width?
Step-by-step explanation:
[tex] \frac{1367}{60 } = 22.783[/tex]
Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero.
Answer:
[tex]\frac{x}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Required
Solve
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Change the division to multiplication
[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]
Apply difference of 2 squares
[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]
Cancel out x - 3
[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]
Factorize 9x + 27
[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]
Cancel out x + 3
[tex]\frac{1}{9} * \frac{x}{1}[/tex]
Finally, this gives:
[tex]\frac{x}{9}[/tex]
What is the area of the figure . Round to the nearest tenth.
Answer: its 40.0 m²
Step-by-step explanation:
A=wl=4·10=40.0 m²
your welcome
Answer:
the answer is D
Step-by-step explanation:
Raj rides his bike for 3.4 miles. What is the length of Raj's bike ride in feet? Enter your answer in the box.
Answer:
Hey there!
I belive the answer is 17952 ft
which if you multiply 3.4 miles x 5280 is equal to 17952 ft.
Hope this can help! Please correct me if im wrong!
plssssss helppp last diagnostic
Answer:
9/20 square miles
Step-by-step explanation:
9/10× 1/2= 9/20 square miles
The supermarket sells juice in 16- and 32-ounce bottles. If Warren wants to bring home 144 ounces of juice in 7 separate bottles, which system of equations should he solve to determine how many 16- and 32-ounce bottles to buy? (Let x represent the number of 16-ounce bottles and y represent the number of 32-ounce bottles.)
A. 32x+16y=144 x+y=7
B. 16x+32y=144 x+y=7
C. 32x+16y=144 x+y=144
D. 16x+32y=7 x+y=32
One fourth of the 120 students took wood shop. How many students did not take wood shop?
Answer:
90 students.
Step-by-step explanation:
Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:
[tex]\frac{3}{4}(120)[/tex]
Find common factors between 4 and 120 to simplify, so 4.
[tex]\frac{3}{1} (30)[/tex]
Now multiple across to get 90.
1. If the spinner below is spun once, find each
probability.
Answer:
I don't know what kind of questions is this but first you need to show your spinner
The pitch P of a musical tone varies inversely as its wavelength w. One tone has
a pitch of 321 vibrations per second and a wavelength of 10.5 feet. If another
tone has a pitch of 374 vibrations per second, what is its wavelength?
Answer:
The wavelength of the second pitch is 12.23 feet.
Step-by-step explanation:
Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:
321 = 10.5
374 = X
374 x 10.5 / 321 = X
3927/321 = X
12.23 = X
Therefore, the wavelength of the second pitch is 12.23 feet.
(3-97)(3+9)=
(Simplify your answer. Type your answer in the form a +bi.)
Answer:
-1128
Step-by-step explanation:
A triangle with coordinates (-5,2) (4,3) and (2,-5) is rotated 180 degrees clockwise
Answer:
B
Step-by-step explanation:
In a 180° rotation, the signs for both the x and y values are changed.
1. Find the value of x.
No links plssss
Answer:
9
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Answer:
I think it's 9.
Step-by-step explanation:
A private jet flies the same distance in 14 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was 181mph less than 3 times the speed of the private jet, find the speed of each jet.
Answer:
Private Jet = 181 mph Commercial Jet = 362 mph
Step-by-step explanation:
private jet travels distance D in 14 hours
commercial jet travels distance D in 7 hours
so commercial jet speed is twice the private jet
y = 2x
commercial jet speed = 3 · (private jet speed) - 181 mph
y = 3x - 181
2x = 3x - 181
2x - 3x = -181
-x = -181
x = 181
y = 2x
y = 362
362 = 3(181) - 181
Ajar contains 3 blue marbles and 2 red marbles. A marble is randomly selected from the jar and replaced, and then a second marble is chosen. The probability that a blue marble was chosen both times is %.
Answer:
40% probability
Step-by-step explanation:
First, you need to look at the sample space or number of outcomes:
B B B R RThe sample space, or number of outcomes, is 5
If you randomly select one marble and then select another marble after replacing it, you are taking out 2/5 of the marbles in the jar.
B B B R R1/5 2/5 3/5 4/5 5/5
2/5 can be converted into a percentage by turning it into a decimal:
2/5 = .4.4 can be converted into a percentage
.4 = 40%This leaves you with the probability being 40%
Answer: it’s 30%
Step-by-step explanation:
Someone help me with the question please
Answer:
1. 1/6
2. 10/36
3. 1/12
Step-by-step explanation:
Answer:
What question do you need help with?
Step-by-step explanation:
An F5 tornado is classified as having mean wind speeds greater than 261 mph. In an effort to classify a recent tornado, 20 wind speed measurements were randomly selected from within the path of the tornado. Suppose the mean wind speed for this tornado really is greater than 261 mph. Based on the data, if we fined little to no evidence against the null hypothesis that the mean wind speed is 261 mph, we have made _______________. Group of answer choices
Answer:
Type 2 error
Step-by-step explanation:
H0 : μ = 261
H0 : μ > 261
By failing to reject H0 ; when the it is false. This means accepting null hypothesis when it is actually FALSE. Then a type 2 error has been committed.
This is different from a type 1 error whereby the null hypothesis is rejected when it is actually TRUE.
Hence, by finding no evidence to reject the null hypothesis during statistical testing when the actual windspeed of an F5 tornado during statistical testing is actually greater than 261 mph.