Answer:
There is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm
Step-by-step explanation:
From the question we are told that
The sample size for each algorithm is [tex]n_1 = n_2 = n = 61[/tex]
The sample mean for new algorithm is [tex]\= x_1 = 14.06 \ hr[/tex]
The standard deviation for new algorithm is [tex]\sigma _1 = 3.004 \ hr[/tex]
The sample mean for the current algorithm is [tex]\= x_2 = 16.43 \ hr[/tex]
The standard deviation for current algorithm is [tex]\sigma _2 = 4.568[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu _2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Here [tex]\mu _1 \ and \ \mu_2[/tex] are population mean for new and current algorithm
Generally the test statistics is mathematically represented as
[tex]Z = \frac{ \= x _1 - \= x_2 }{ \sqrt{\frac{ \sigma_1 ^2 }{n_1} + \frac{\sigma^2_2 }{ n_2}} }[/tex]
=> [tex]Z = \frac{ 14.06 - 16.43 }{ \sqrt{\frac{ 3.004^2 }{61} + \frac{4.568^2 }{ 61}} }[/tex]
=> [tex]Z = -3.39[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < -3.39 )[/tex]
From the z-table
[tex]P(Z < -3.39 ) = 0.0003[/tex]
=> [tex]p-value = P(Z < -3.39 ) = 0.0003[/tex]
From the calculated value we see that [tex]p-value < \alpha[/tex] hence the null hypothesis is rejected
Hence we can conclude that there is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm
what is the Transformation of a function?
Answer:A function transformation takes whatever is the basic function f (x) and then "transforms" it (or "translates" it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around. Moving the function down works the same way; f (x) – b is f (x) moved down b units.
Step-by-step explanation:
I gave you a pic to look at
Answer:
Answer:A function transformation takes whatever is the basic function f (x) and then "transforms" it (or "translates" it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around. Moving the function down works the same way; f (x) – b is f (x) moved down b units.
Step-by-step explanation:
A lounge is discounted from $3750 to $3000. Express the discount as a % of the selling price.
Differentiation formula
y=(4x+6)^9
Answer:
y = (4x + 6)^9
dy/dx = d(4x +6)^9/dx
using chain rule
[tex]\frac{d(4x + 6)^9}{d(4x+6}[/tex] X [tex]\frac{d(4x + 6)}{dx}[/tex]
[tex]9(4x + 6)^{8}[/tex] X 4
36(4x + 6)^8
(144x + 216)^8
parallel to the y=-3x through the point (-1,2)
Answer:
[tex]\huge\boxed{y=-3x-1}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2.\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have}\ y=-3x\to m_1=-3.\\\\\text{Therefore, we have a initial parallel line equation:}\\\\y=-3x+b\\\\\text{The line passes trough the point}\ (-1,\ 2).\\\\\text{Substitute}\ x=-1,\ y=2:\\\\2=-3(-1)+b\\2=3+b\qquad\text{subtract 3 from both sides}\\-1=b\to b=-1\\\\\text{Finally:}\\\\y=-3x-1[/tex]
in a particular class of 26 students , 11 are men . what fraction of the students in the class are women
Step-by-step explanation:
woman = total students - men
= 26 - 11
=15
for fraction of woman , you take the 15(woman) over the total of people in the class,26.
Therefore your answer is 15 over 26
Answer:
42.3% or 42% simplified
Step-by-step explanation:
Determine whether the following statement is true or false.
For a test of independence, the population that the data has come from must be normally distributed.
A. True
B. False
Answer:
The provided statement is False.
Step-by-step explanation:
The assumptions to perform a test of independence are:
The sample selected is randomA large sample is selectedThe observations are independent of each otherThe observations follow the same distribution.It is not necessary that the parent population or the population from which the sample is collected is normally distributed.
Thus, the provided statement is False.
Express the given product as a sum or difference containing only sines or cosines.
sin (4x) sin (2x)
sin(4x) sin (2x) =________ (Simplify your answer.)
Answer:
sin(8x)
Step-by-step explanation:
assuming that you didn't mean to write it twice
y=8x-6 solve the system of equations
Answer:
let y=8x-6=0
soY=6
andy=8x
so,y=6 and x=3/4
A trader bought 60 article for N25000 and sold them at N6000 per dozen.
(i) find the total profit
(ii) find the percentage profit
(c) Find the principal which amounts to N2736 in 3 1/2 years at 4% simple interest
Step-by-step explanation:
N6000×5=N30000
1)N30000-N25000=N5000
2)N5000÷N25000×100℅=20℅
plzz help me and explain
Answer:
the area is: 90 square inches
Step-by-step explanation:
Since you use the same amount of material to create the rectangle, that means that the area of a parallelogram has the same formula as the area of a rectangle. That is:
Area of parallelogram = base x height
In our case: 9 in x 10 in = 90 square inches
exponents and power - evaluate
Answer :
7
Step-by-step-explanation :
[tex] {((343 ^{ \frac{4}{3} })) }^{ \frac{1}{4} } \\ = ( {7}^{3} ) ^{ \frac{4}{3} } ) ^{ \frac{1}{4} } \\ = ( {7}^{4} ) ^{ \frac{1}{4} } \\ [/tex]
[tex] = {7}^{1} = 7[/tex]
On a number line, A is at -2 and B is at 4. What is the coordinate of C, which is 2/3
the way from A to B?
Answer:
2
Step-by-step explanation:
The distances have the ratio:
(C -A) = (2/3)(B -A)
C = (2/3)B +(1/3)A . . . . . add A
C = (2B +A)/3 . . . . . . . . combine terms
C = (2(4) +(-2))/3 = 6/3 = 2
The coordinate of C is 2.
1.what is goverment .what do it mean
2. which country have the least number of people
Answer:
GOVERNMENT IS A SYSTEM OR GROUP OF PEOPLE GOVERNING AN ORGANIZED COMMUNITY, OFTEN A STATE.
VATICAN CITY HAS THE LEAST NUMBER OF PEOPLE.
Step-by-step explanation:
700.095 in word form
Answer:
seven hundred and ninety-five thousandths
Step-by-step explanation:
i need alot of help. (ALGEBRA)
Answer:
Award brainliest to this answer
Step-by-step explanation:
1: Lcm is 210 and GCF is 1
2: Lcm is 12 and Gcf is 3
3: LCM is 352 and Gcf is 4
4:LCM is 840 and Gcf is 1
5: LCM 108 and Gcf is 9
6: Lcm is 660 and Gcf is 1
7: Lcm is 840 and Gcf is 2
8: Lcm is 60 and Gcf is 30
9: Lcm is 1512 and Gcf is 1
10: Lcm is 176 Gcf is 4
11: Lcm is 2030 and Gcf is 1
12: Lcm 116 and Gcf is 2
Also, I'm am rather sure in which the veracity of the entailment that this is algebra is incorrect.
PLEASE HELP! A) 2.9 B) 9.2 C) 3.3 D) 5
Answer:
9.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 57 = x/6
6 tan 57 = x
9.239189783 = x
9.2 =x
To restaurants
engines to find out the people eating there. The bodies show theme of these
Restaurant
1
15
25 30
Age of Diners Cars
Move options to the banks to complete the statement, using data from the bougies
O
Answer:
[tex]\large \boxed{\mathrm{served \ a \ greater \ variety \ of \ ages}} \\ \\ \large \boxed{\mathrm{range}}[/tex]
Step-by-step explanation:
Restaurant A served a greater variety of ages than Restaurant B, because the range of data for Restaurant A is greater than that of Restaurant B.
Range of a data set is the data spread.
Restaurant A is serving a greater variety of ages of people since it has a higher range than that of Restaurant B.
Answer:
1. Served a greater variety of age
2. range
Step-by-step explanation:
Restaurant A served a greater variety of age than Restaurant B, because the range of data for Restaurant A is greater than that of Restaurant B.
=> When we see the box plot, we come to know that the range (maximum - minimum) is greater for Restaurant A.
mr udoh invested an amount in two separate finance firms in the ratio 3:5
his profit was calculated in 8% and 10% respectively . after a year he recieved a profit an interest of 92000. caculate the total amount invested
Answer:
$994,594.59
Step-by-step explanation:
If the investments were in the ratio 3:5, the returns on those investments were ...
3×0.08 +5×0.10 = 0.74 . . . . . ratio units
This return is $92,000, so each ratio unit of investment is ...
$92,000/0.74 = $124,324.32 (and change)
The total investment was 8 ratio units, so was ...
$124,324.32 × 8 = $994,594.59 . . . . total amount invested.
_____
Check
3/8 of the invested amount earned 8%, so that interest was ...
$994,594.59×(3/8)×(0.08) = $29,837.84
5/8 of the invested amount earned 10%, so that interest was ...
$994,594.59×(5/8)×(0.10) = $62,162.16
The total interest earned was $29,837.84 +62,162.16 = $92,000.
Find the missing number in this proportion 10/15=?/21
Answer:
x = 14
Step-by-step explanation:
Using cross products
10 x
----- = --------------
15 21
10*21 = 15x
210 = 15x
Divide each side by 15
210/15 =x
14 =x
please solve quick
Answer:
x = 5
AB = 14 units
Step-by-step explanation:
From the picture attached,
In the given triangles ΔAEB and ΔCDB,
AE║CD and ED is a transverse,
∠EAB ≅ ∠DCB [Alternate interior angles]
AE║CD and AC is a transverse,
∠AEB ≅ ∠CDB [Alternate interior angles]
ΔAEB ~ ΔCDB by AA property of the similarity of two triangles.
Therefore, corresponding sides of these triangles will be proportional.
[tex]\frac{\text{AE}}{\text{CD}}=\frac{\text{BE}}{\text{BD}}=\frac{\text{AB}}{\text{BC}}[/tex]
[tex]\frac{\text{BE}}{\text{BD}}=\frac{\text{AB}}{\text{BC}}[/tex]
⇒ [tex]\frac{7}{4}=\frac{2x+4}{x+3}[/tex]
⇒ 7x + 21 = 8x + 16
⇒ 8x - 7x = 21 - 16
⇒ x = 5
AB = (2x + 4)
= 10 + 4
= 14 units
The completion times for a job task range from 10.1 minutes to 19.2 minutes and are thought to be uniformly distributed. What is the probability that it will require between 12.7 and 16.8 minutes to perform the task
Answer:
The probability is [tex]P(12.7 < x < 16.8 ) = 0.45[/tex]
Step-by-step explanation:
From the question we are told that
The completion times for a job task range from 10.1 minutes to 19.2 minutes
Generally given that the completion times is uniformly distributed then the probability that it will require between 12.7 and 16.8 minutes is mathematically represented as
[tex]P(12.7 < x < 16.8 ) = \frac{ 16.8 - 12.7}{ 19.2 - 10.1 }[/tex]
[tex]P(12.7 < x < 16.8 ) = 0.45[/tex]
In which situation is it best to use a line graph?
A): when the values on both axes are numbers
B): when a grade distribution is displayed
C): when showing trends
D): when representing parts of a whole
Answer: C): when showing trends
Step-by-step explanation:
A Line graph connects different points such that it appears as a line. For this reason it is very useful in showing the trend in the movement of values overtime.
When plotting line graphs the independent variable for example 'months' is usually put on the x-axis and a dependent variable such as 'temperature' will be on the y-axis.
When plotted, the line will be able to show just how things have changed overtime such that the change is quite easy to see through the movement of the line.
The number 0.14114111411114 . . . is
Answer:
irrational
Step-by-step explanation:
Any infinite non-repeating decimal fraction is an irrational number.
Which digit is the hundred place in the number of 742.891
Answer:
7
Step-by-step explanation:
if you meant hundredths it would be 9, but 7 is in the hundreds place
David's company has to ship 4950 boxes of sprinklers. If a truck can hold 550 boxes, how many truckloads does he need to ship all the boxes?
Answer:
Just Divide 4950/550 and you'll get 9 truckloads
Step-by-step explanation:
Geometry
what is the value of t?
can someone pls tell me how to figure this out?? I have some notes but it doesn't cover this.
Answer: t= 2
Step-by-step explanation:
Set them equal each other because they are the same angles.
t + 8 = 5t now solve for t.
-t -t
8 = 4t
t = 2
I've been stuck can someone help me
3.5,
since 3350/670 = 5, we know that the 2345.0/670 = 3.5
Answer:
3.5
Step-by-step explanation:
1. divide 3350/670=5
2. place the 5 in the spot above, which is right after the decimal
Which expression is equivalent to (73)5 • 74 ?
Select each correct answer.
Question 3 options:
73 • 5 + 4
73 + 5 + 4
73 + 5 • 74
73 • 5 • 74
The correct answer is D. 73 • 5 • 74
Explanation:
In mathematics, multiplication can be represented by using the symbol × or the symbol ·. Moreover, multiplication can be also represented just by leaving the numbers or values side by side without any symbol. For example, the expression 5x + y implies 5 should be multiplied by x. In this context, the expression (73)5 • 74 indicates 5 should be multiplied by 74, and the result of this should be multiplied by 73 as the lack of symbol indicates multiplication. Therefore, this is equivalent to 73 • 5 • 74.
Answer:
D
Step-by-step explanation:
what value does the 6 represent in the number 240.65
Answer:
000.60
six hundredths
Rosa had 4 dozen beads. She split them into 6 equal groups and gave two groups to her friend. How many beads did Rosa have then?
Answer: 32
Step-by-step explanation:
4 dozen beads is 48 beads. Divide 48 into 6 groups, and your answer is 8. If Rosa gave 2 groups to her friend, she gave 16 beads, which leaves her with 32 beads.
Answer: 32
Step-by-step explanation:
1 dozen = 12.
4 dozen x 12 = 48.
48 ÷ 6 = 8
If she gave two groups of 8 beads, that is 16 beads.
48 beads - 16 beads = 32 beads.
The answer is 32 beads.