Answer:
21.4 gpm
Step-by-step explanation
In 1908, W.S. Gossett performed a sleep study on 10 subjects, comparing the number of hours of sleep obtained by each subject with and without (in that order) the application of the drug hyoscyamine. The paired differences d were as follows: 1.0, 0.8, 1.1, 0.1, - 0.1, 4.4, 1.5, 1.6, 4.6, 3.4 At the 1% significance level, is the drug effective in increasing sleep
Answer:
Since the calculated value of t= 2.8782 does not fall in the critical region so we accept H0 and may conclude that the drug is not effective in increasing sleep.
Step-by-step explanation:
d d²
1.0, 1
0.8, 0.64
1.1, 1.21
0.1, 0.01
- 0.1, 0.01
4.4, 19.36
1.5, 2.25
1.6, 2.56
4.6, 21.16
3.4 11.56
∑18.4 ∑59.76
1: We state our null hypothesis as
H0 : μd= 0 against the claim Ha: μd ≠ 0
2: The significance level is set at ∝ = 0.01
3: The test statistic under H0 is
t= d`/ sd /√n
4:The critical region is t ≥ t ( 0.005) 9 = 3.250
5:Computation:
d`= ∑d/n= 18.4/10= 1.84
Sd² = ∑(di- d`)²/n-1 = 1/n-1 [∑di²- (∑di)² /n]
= 1/9 [59.76 - (18.4)²/10]
=(59.76 - 33.856)/9
= 25.904/9
= 2.8782
6: Conclusion:
Since the calculated value of t= 2.8782 does not fall in the critical region so we accept H0 and may conclude that the drug is not effective in increasing sleep.
This is because we have taken H0 as the mean of the difference is zero.
This can only be zero when the drug is not effective.
Lauren broght cupcakes for class of 24 students including herself. Each person received 1 cupcakes. Cupcakes come in pack of 7
Answer:
4 Packs
Step-by-step explanation: 24 put into groups of 7: there will be 3 full groups (three groups of seven) and one group will have only three in it. Therefore, 4 packs will be emptied. Hope this helps you !
What is the slope of the line that passes through the given points?
(-12,-4) and (11,-10)
Answer:
Y2-y1
X2-×1 = m
-12-(-10)
11-5 = -2/3
m= -2/3
Step-by-step explanation:
A garden table and a bench cost $ 1045 combined. The garden table costs $95 more than the bench. What is the cost of the bench?
Answer:
Nvm misread question
Step-by-step explanation:
one second please
Solve the proportion x/8= 3/12. Please help.
Answer:
2
Step-by-step explanation:
[tex] \frac{x}{8} = \frac{3}{12} \\ \\ x = \frac{8 \times 3}{12} \\ \\ x = \frac{24}{12}\\ \\ x = 2[/tex]
Identify the pattern rule for this sequence
Answer:
what sequence bruv
Step-by-step explanation:
theres nofin there
Answer:
ertg4b4tgedx3sfqawe ctxdsfawectdfsqeretcxf
Step-by-step explanation:
rt4wqcxdewqcrxfxdfewccrxweccsfcdsxdcrcwe
$80 jacket: 15% off: 5.5% tax
Answer:68.055
Step-by-step explanation:Google said so ;))
10. Do these figures have the same or the opposite orientation?
Answer:
Opposite
Step-by-step explanation:
The given figure has the same orientation.
Figures are shown, Do these figures have the same or the opposite orientation is to be determined.
the action or process of orienting or the circumstances of existing oriented. placement or position in relation to the points of the compass or other precise directions. the adjustment or alignment of oneself.
As per definition, let's assume the point at mid of H and mid of o when joined that point a line will form on both the hello, across that line thing between two images is same that why these two images have the same orientation. Each point on both the images has a fixed distance and angle to the imaginary line formed(we assumed).
Thus, the given figure has the same orientation.
Get more information about orientation here:
https://brainly.com/question/12049504
#SPJ5
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
Answer:
16 minutes
Step-by-step explanation:
If it takes Jada 20 minutes and it takes Andre 80% as long, then you multiply 20 by %80
20 * .80 = 16 minutes
Answer:
It takes Andre 16 minutes
Step-by-step explanation:
I know this because 80% of 20 is 16 minutes
Jill lives miles away from her school, and Ben lives miles away from his school. Which statement is true?
A.
Ben travels farther than Jill to school.
B.
Jill travels farther than Ben to school.
C.
Ben and Jill travel exactly the same distance to school.
D.
Ben and Jill travel approximately the same distance to school.
Answer:
Ben and Jill travel exactly the same distance to the school
After 100 spins, Lincoln calculated the probability that he would spin a prime number to be 0.35. Using the
spinner, what is the theoretical probability of spinning a prime number?
An 15
Given:
Total number of spins = 100
Probability that he would spin a prime number to be 0.35.
To find:
The theoretical probability of spinning a prime number.
Solution:
Total numbers from 1 to 100 = 100
Total prime numbers from 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
So, the prime numbers from 1 to 100 = 25
Now, the probability of spinning a prime number is
[tex]\text{probability}=\dfrac{\text{Total prime numbers from 1 to 100}}{\text{Total numbers from 1 to 100}}[/tex]
[tex]\text{probability}=\dfrac{25}{100}[/tex]
[tex]\text{probability}=0.25[/tex]
Therefore, the theoretical probability of spinning a prime number is 0.25.
PLZ ANSWERE QUICKLY
Transition because it mirrored but not exactly
Last Sunday the average temperature was 8% higher than the average temperature Sundays ago. The average temperature two Sundays ago was t degrees Celsius chose the answer
Answer:
1.08.
Step-by-step explanation:
Describe two ways you can find the measure of <7.
Answer:
angle 7= 66
Step-by-step explanation:
Angle 1 is equal to the 114 degrees. And angle 1 + angle 7 = 180. So it would be 114 + angle 7 = 180. So you do 180-114 = 66. So angle 7= 66.
The other way is that 114 + angle 6 = 180, so you do 180-114= 66.
And agle 6 is equal to angle 7, so that's another way you can know that angle 7= 66
simplify the fraction 9/18
9/18
Divide by 9
9/9=1
18/9=2
Answer : 1/2
If there are There are 914.4914.4914, point, 4 millimeters in a yard. There are 333 feet in a yard.
How many millimeters are in a foot?
Answer: 304.8
Step-by-step explanation:
for an approximate result, multiply the length value by 305
Answer: 304.8
Step-by-step explanation:
If m is a multiple of 20 then m is also a multiple of 10 true or false
Harold filled his swimming pool over the weekend. The pool has a capacity of 540 gallons. Harold put in 180 gallons of water on Saturday. The garden hose that Harold used supplies 9 gallons of water per minute. How long did it take for Harold to fill the pool to capacity on Sunday? Define a variable for the unknown quantity. Write and solve an equation to answer the question.
Let m= the number of _________
a.) gallons in the pool on Sunday
b.) Minutes to fill the pool on Saturday
c.) gallons the garden hose puts in the pool on Sunday
d.) minutes to fill the pool on Sunday
An equation to represent the situation is __________=540.
a.) m+89
b.) 189m
c.) 9m+180
d.) 180m+9
So, m= _________. It took Harold ____________ minutes to fill the pool to capacity on Sunday.
Answer:
b
c
40
Step-by-step explanation:
I have already had this question before.
simplify the equation
Answer:
The answer is C
Step-by-step explanation:
I say this because you have to simplify and plug in the numbers to get answer choice c
What is the unit rate of a line that goes through the points (3,1)?
Answer:
3.
Step-by-step explanation:
3 divided by 1 equals 3.
Please mark me brainliest I need it!!!
What is the length of the third side of the window frame below
Answer:
1.
Step-by-step explanation:
a^2+b^2=c^2
since the hypotenuse is 78 you would square it and the other known number. After squaring both you subtract 6084-5184 and get 900. you would then take the square root and get 30.
A stadium has direct staffing costs of $108,000. Overhead costs (social security, medicare, worker's compensation, etc.) cost the stadium an additional 15%. What is the total staffing cost?
9514 1404 393
Answer:
$124,200
Step-by-step explanation:
We have ...
staffing cost = (direct cost) + 0.15·(direct cost)
staffing cost = (direct cost) · 1.15 = ($108,000)(1.15)
staffing cost = $124,200
is Obama black
sry I'm blind cant tell
Answer:
Yes
Step-by-step explanation:
Answer:
Yes he is
Step-by-step explanation:
help me pls .................
Answer:
b
Step-by-step explanation:
I need help with math homework
Answer:
A. (1, 2) and (4, 3)
B. Slope (m) = ⅓
C. y - 2 = ⅓(x - 1)
D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
Step-by-step explanation:
A. Two points on the line from the graph are: (1, 2) and (4, 3)
B. The slope can be calculated using two points, (1, 2) and (4, 3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]
Slope (m) = ⅓
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).
Thus:
y - 2 = ⅓(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 2 = ⅓(x - 1)
3(y - 2) = x - 1
3y - 6 = x - 1
3y = x - 1 + 6
3y = x + 5
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
E. Convert the equation in (D) to standard form:
[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]
[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]
can someone please help me? I'm really confused and I don't know how to do this.
Answer:
B
Step-by-step explanation:
Because they took the correct steps to answer the equation.They also got the right answer (-2).
At the begining they added 4 to both sides (to cancel out the 4)
C would be wrong because they subtracted 4 from a negative four and this does NOT cancel it out.
Have a Supercalifragilisticexpialidocious day, I hope you like my explination. If you do please give rating or brainliest :)
What point is on both lines y = 1/2x + 3 and y = x +1?
Answer:
(4,5)
Step-by-step explanation:
Help! Is the following relation a function?
Yes or no?
Answer:
no it is not a fuction
Step-by-step explanation:
PLEASE HELP ME !!!
:(
Answer:
Step-by-step explanation:
G is the incenter of ΔABC,
Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.
10). m∠ABG = m∠CBG = 25°
11). m∠BCG = m∠ACG = 18°
Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°
12). m∠ABC + m∠BAC + m∠ACB = 180°
2(25)° + m∠BAC + 36° = 180°
m∠BAC = 180° - 86° = 94°
13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°
14). Since, incenter is equidistant from all sides of the triangle,
Therefore, DG = GF = FE = 4 units
15). In right triangle BEG,
tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]
BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]
= [tex]\frac{4}{\text{tan}25}[/tex]
BE = 8.6
16). In right triangle BEG,
cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]
BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4
17). In right triangle GEC,
sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]
GC = [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9
A random sample is to be selected from a population that has a proportion of successes p=.60. When n=400, what is the probability that a sample proportion falls between .59 and .62? Round your answer to three decimal places.
Answer:
0.45134
Step-by-step explanation:
Given that :
p = 0.6
n = 400
Probability that sample. Proportion falls between 0.59 and 0.62
Using Normal approximation :
Mean (m) = n * p = 400 * 0.6 = 240
Standard deviation (s) = sqrt(pq/n)
q = 1 - p = 1 - 0.6 = 0.4
s = sqrt((0.6 * 0.4) / 400) = 0.0244948
P(0.59 < p < 0.62) :
(x - m) / s
P((0.59 - 0.6) / 0.0244948) < p < P((0.62 - 0.6) / 0.0244948)
P(Z < −0.408249) < p < P(Z < 0.8164998)
Using the Z probability calculator :
0.79289 - 0.34155 = 0.45134