Answer:
The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level
Step-by-step explanation:
We formulate null and alternate hypotheses are
H0 : u1 < u2 against Ha: u1 ≥ u 2
Where u1 is the group tested after they were awake for 24 hours.
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≥ t (0.05, 13) = 1.77
Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13
Here the difference between the sample means is x`1- x`2= 35-24= 11
The pooled estimate for the common variance σ² is
Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]
= 1/13 [ 120²+360²]
Sp = 105.25
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= 11/ 105.25 √1/5+ 1/10
t= 11/57.65
t= 0.1908
The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level
Determine the equation of the circle graphed below.
Answer:
(x + 3)² + (y + 6)² = 2²
Step-by-step explanation:
General form
(x - h)² + (y - k)² = r²
(h, k) is the center = (-3, -6)
r is the rradius = 2
-----------------------
(x + 3)² + (y + 6)² = 2²
Plz help me well mark brainliest if correct!!...
Answer:C
Step-by-step explanation:
Extinct species tend to be fully gone or not seen in the wild for quite some time endangered would be a better answer for A
Hope this helps
Is this statement true or false?
The unpaid balance is the sum of the previous balance and the new charges.
Answer: true
Step-by-step explanation:
A drawer contains 6 red socks, 5 white socks and 9 blue socks. Without looking, you draw out a sock
and then draw out a second sock without returning the first sock. What is the probability that the
first sock and the second sock are both red?
Answer:
2/20
Step-by-step explanation:
because 9+5+6=20 and if you draw 2 red socks then that would be yur numerator
A quantity with an initial value of 790 decays continuously at a rate of 35% per week. What is the value of quantity after 28 days, to the nearest hundredth?
PLEASE HELP!!!!
Answer:
194.81
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
7
Step-by-step explanation:
Given :
A right angled triangle with one angle 64° and side 15 .And we need to find the value of x to the nearest tenth. So the correct approach will be ,
[tex]:\implies[/tex] tan 64° = p/b
[tex]:\implies[/tex] tan 64° = 15/x
[tex]:\implies[/tex] x = 15 / tan64°
[tex]:\implies[/tex] x ≈ 7
He commited a mistake in 2nd step. He should have written 15/ tan64° .Hence the correct answer is 7 .
Two airplanes leave an airport at the same time, the first headed due north and the second at a bearing of N42^ E . At 2:00PM, the first airplane is 312 miles from the airport while the second airplane is 487 miles from the airport. Assuming both followed linear paths from the airport, how far apart are the two airplanes at 2:00PM?
Answer:
The two airplanes are about 330miles apart.
Step-by-step explanation:
The diagram interpreting the question has been attached to this response.
As shown in the diagram,
i. the airplanes leave at point C.
ii. at 2.00pm the first and second airplanes are at points A and B respectively, where they are 312miles and 487miles away from the starting point C in directions due north and N42E from the point C.
iii. the points A, B and C form a triangle with sides a, b and c.
To solve for the value of c which is the distance between the two planes at 2.00pm, the cosine rule is used.
c² = a² + b² - 2abcosC --------------(i)
where;
b = 312miles
a = 487miles
C = 42°
Substitute these values into equation (i) and solve as follows;
c² = (487)² + (312)² - 2(312)(487)cos(42)
c² = (237169) + (97344) - 303888cos(42)
c² = (237169) + (97344) - 303888(0.7431)
c² = 334513 - 225819.1728
c² = 108693.8272
Take the square root of both sides
√c² = √108693.8272
c = 329.69
c ≅ 330miles
Therefore, the two airplanes are far apart by 330miles
What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)? (5 points)
a
y = 2(x + 2)
b
y = 2(x − 2)
c
y = −2(x − 2)
d
y = −2(x + 2)
Answer:
A) y=2(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-0)/(2-(-2))
m=8/(2+2)
m=8/4
m=2
y-y1=m(x-x1)
y-0=2(x-(-2))
y=2(x+2)
y=2x+4
Can someone help me please
If Fahmida randomly picks a jelly bean out of the jar, what is the probability that the jelly bean will be green (find the simplest form)?
Answer:
1/5
Step-by-step explanation:
you divide the amount of green jelly beans by the total amount of jelly beans in the jar, which gives you 10/50 or 1/5.
A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded:
Time since brakes applied (sec) 0 2 4 6
Velocity (ft/s) 97 49 18 0
Give lower and upper estimates (using all of the available data) for the distance the car traveled after the brakes were applied.
Answer:
Hence, the Lower estimates are [tex]134[/tex] and the upper estimates are [tex]228[/tex] feet
Step-by-step explanation:
A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the velocities recorded are given in the question.
So, the Lower Estimates for the distance travelled by car will be
[tex]S=49\cdot 2+18\cdot 2+0\cdot 2[/tex]
[tex]\Rightarrow S=98+36+0[/tex]
[tex]\Rightarrow S=134[/tex]
Also, the Upper estimates for the same will be
[tex]S=97\cdot 2+49\cdot2+18\cdot 2[/tex]
[tex]\Rightarrow S=194+98+36[/tex]
[tex]\Rightarrow S=228[/tex]
What is the value of x in the equation?
3x12-7
4
A)
B)
1
C)
13
D)
Answer:
TNX ME LATER again HAHA JWK
Find the 10th term of the geometric sequence show below
–8x6, -40x8, –200x10,
•••
Help
Answer:
-15625000x^24
Step-by-step explanation:
Find the distance of the two given points (1,5) and (4,10)
Answer:
5.831
Step-by-step explanation:
Distance between both given points=Lenght=5.831
finding the slope to points
Select the correct answer from each drop-down menu
HELP ME OUT
Which equation represents the proportional relationship represented by the table?
A) y = 4x
B) y=x+4
C) y= 1/4x
D) y=x - 4
Answer:
y=1/4x
Step-by-step explanation:
each y is 1/4 of the x value
20 points and brainiest
Mark wants to invest his money in a bank account and has been presented with two options.
Time of Deposit Year 1 Year 2 Year 3 Year 4
Account A $1000 $1100 $1200 $1300 $1400
Account B $1000 $1100 $1210 $1331 $1464.10
Part A: Which account is linear? Which is exponential?
Part B: Which account is the better investment? Why?
Part C: Write an equation to model each of the accounts.
The midpoint M of CD has coordinates (5, 8). Point C has coordinates (4,8). Find the
coordinates of point D.
Write the coordinates as decimals or integers.
D=
Submit
4
Please help will give brainliest
The point C (-3,-1) is rotated 180 clockwise around the origin.
What are the coordinates of the resulting point, C'?
Answer: [tex](3,1)[/tex]
Step-by-step explanation:
Given
The point C [tex](-3,-1)[/tex] is rotated [tex]180^{\circ}[/tex] clockwise about the origin
If a point is rotated [tex]180^{\circ}[/tex] about the origin, then the sign of the co-ordinates changes without changing the order of coordinates.
So,C [tex](-3,-1)[/tex] becomes C' [tex](3,1)[/tex] after the rotation.
A box of cards has 12 birthday cards. Each card weighs 2 ounces. How much do the 12 cards weigh?
A. 1 pound 4 ounces
B. 1 pound 8 ounces
C. 2 pounds 4 ounces
D. 2 pounds 8 ounces
Answer:
B. 1 pound, 8 ounces!
Step-by-step explanation:
12 x 2ounces =24 ounces
16 ounces is one pound so 24-16=8 ounces left over. 1 pound, 8 ounces
Label each statement True or False.
Need it fast will give 5 stars
Answer:
false
Step-by-step explanation:
What value of N balances the scale
You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individual picture takes 3 minutes and a class picture takes 10 minutes. About how long should it take you to take all of the pictures? A 1 hour 3 minutes B 1 hour 13 minutes C 2 hours 6 minutes D 2 hours 16 minutes E 2 hours 26 minutes
Answer:
C 2 hours
Step-by-step explanation:
hope it's helpful
thank you
It is desired to convert from slow sand filters to high-rate filters. The slow sand filters operate at a rate of 10 million gallons/acre-day and have a total area of 15 acres. Assuming the high-rate filters are rated for 6 gpm/ft2, and each filter has an area of 1,000 ft2, how many filters are required
Answer:
Total 17 high rate filters are required
Step-by-step explanation:
Given -
Rate of filtration of slow sand filters = 10 million gallons/acre-day
Total million gallons of water filtered per day = 10 million gallons/acre-day * 15 acres
= 150 Million gallons per day
Rate of filtration of high rate filters = 6 gpm/ft2
Area of one high rate filter = 1,000 ft2
Volume of water filtered by 1 high rate filter is 6 gpm/ft2 *1,000 ft2 = 6000 gallons per minute = 8640000 gallon per day
Number of filters required = 150 million gallons per day /8640000 gallon per day
150 * 10^6/8640000
17
Total 17 high rate filters are required
ASAP I NEED IT INTHE MORNING!!!! THANK YOUUU
Answer:
.................................
Step-by-step explanation:
O
Which ratio is equivalent to the scale 1cm/50mi
1;50
49;50
50;1
1;51
Answer:
1;50
Step-by-step explanation:
The ratio shows how many times one value is contained in another value.
The ratio equivalent to the scale of 1cm/50mi is 1:50.
Option A is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio is written in the form of a numerator and a denominator.
Now,
1cm / 50 miles is in the form of a numerator and a denominator.
Now,
1cm : 50 miles = 1cm / 50 miles
= 1:50
Thus,
The ratio equivalent to the scale of 1cm/50mi is 1:50.
Option A is the correct answer.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
the sum of three consecutive even numbers is 42. what are the three numbers?
Answer:
12, 14, and 16
Step-by-step explanation:
Assume
1st number: x
2nd number: x+2
3rd number: x+4
(I'm adding 2 for each number because even numbers skip by 2)
The numbers add to 42, so
x+(x+2)+(x+4)=42
x+x+2+x+4=42
3x+6=42
3x=36
x=12
1st number: 12
2nd number: 12+2=14
3rd number: 12+4=16
12, 14, and 16
if 5 candy bars cost 3$ how much would 8 cost
Step-by-step explanation:
5candy cost 3$
1 candy cost =5/3=1.66$
8 candy cost= 8×1.66 =13.33$
stay safe healthy and happy...Determine the null hypothesis and the alternate hypothesis: ************************** The August 2008 edition of Academy of Management Journal featured an investigation of the performance and timing of corporate acquisitions. The investigation discovered that in a random sample of 2778 firms, 748 announced one or more acquisitions during the year 2000. Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 30%
Answer:
Following are answer to these question:
[tex]\LARGE H_0: p = 30 \%\\\\\LARGE H_A: p < 30 \%[/tex]
Step-by-step explanation:
Even though researchers try and check whether the real percentage of all companies announcing one or more purchases that year 2000 is less than 30%, the invariant hypothesis therefore becomes as follows:
[tex]\LARGE H_0: p = 30 \%\\\\\LARGE H_A: p < 30 \%[/tex]
