You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as parents of newborn babies or night-shift workers) record the number of minutes they sleep each night and take a series of motor performance assessments, with 1 minute being the smallest unit on the scale. Suppose the first subject sleeps 250 minutes. Determine the real limits of 250.
Answer:
the real limits are;
Lower Real Limits = 249.5
Upper Real Limits = 250.5
Step-by-step explanation:
Given the data in the question;
1 minute being the smallest unit on the scale
so we say; 1/2 which 0.5 minutes which we will use to calculate pur real limits time;
given that; the first subject sleeps 250 minutes
so
Lower Real Limits will be;
Lower Real Limits will = 250 - 0.5 = 249.5
Also our Upper Real Limits will be;
Upper Real Limits = 250 + 0.5 = 250.5
Therefore; the real limits are;
Lower Real Limits = 249.5
Upper Real Limits = 250.5
1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?
Answer:
Step-by-step explanation: Speed is distance an object travelled per unit time.
It is represented by letter v and can assume various units.
1) [tex]v=\frac{distance}{time}=\frac{d}{t}[/tex]
[tex]v=\frac{90}{5}[/tex]
v = 18 miles per hour
Her average speed is 18 mph.
2) Rearraging formula for distance:
d = v.t
d = 70 * 4
d = 280 miles
You would travel 280 miles.
3) [tex]v=\frac{d}{t}[/tex]
[tex]v=\frac{315}{6}[/tex]
v = 52.5 mph
My average speed is 52.5 mph.
4) Rearranging formula to determine time:
[tex]t=\frac{d}{v}[/tex]
[tex]t=\frac{210}{90}[/tex]
t = 2.34 hours
It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.
5) The unit change but the way of calculating time is the same.
[tex]t=\frac{2000}{4}[/tex]
t = 500 s
or t = 8.34 minutes
It will take, for an athlete to run 2000m, 8.34 minutes.
6) a) All units must match, so for a speed in mph:
45 minutes is 0.75 hours. Total time is 8.75 hours.
[tex]v=\frac{420}{8.75}[/tex]
v = 560 mph
The average speed is 560 mph.
b) [tex]t=\frac{d}{v}[/tex]
[tex]t=\frac{420}{63}[/tex]
t = 6.67 hours
Sam will take 6.67 hours to covered the distance.
Tuesday’s attendance was 70% of Monday’s attendance, 50. What was Tuesday’s attendance?
Answer:
35
Step-by-step explanation:
100 / 50 = 2
70 / 2 = 35
What impact did the American Revolution have on Haiti?
What impact did the Haitian Revolution have on the United States?
Please help
Answer:
What impact did the American Revolution have on Haiti? The American Revolution occurred first and in part inspired the Haitian and French Revolutions. ... The Haitian Revolution was the first and only slave uprising that led to the establishment of a free state without slavery and ruled by non-whites and former slaves.
What impact did the Haitian Revolution have on the United States?The Haitian Revolution had many international repercussions. It ended Napoleon's attempts to create a French empire in the Western Hemisphere and arguably caused France to decide to sell its North American holdings to the United States (the Louisiana Purchase)—thus enabling the expansion of slavery into that territory.
Step-by-step explanation:
BRAINLIST PLEASE!!
Please help
Solve the equation.
2 x/-10=2/5
A bicycle with 24-inch diameter wheels is traveling at 12 mi/h. Find the angular speed of the wheels in rad/min.
Answer:
1055.99 rad/min
Step-by-step explanation:
Given that,
The diameter of a bicycle, d = 24 inches
Radius, r = 12 inches
The bicycle is travelling at 12 mi/h.
We need to find the angular speed of the wheels in rad/min.
We know that,
1 mi/h = 0.0166667 mi/min
It means,
12 mi/h = 0.2 mi/min
Also,
12 inch = 0.000189394 miles
The angular speeds of the wheels is given by :
[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{0.2}{0.000189394}\\\\\omega=1055.99\ rad/min[/tex]
So, the angular speeds of the wheels is 1055.99 rad/min.
What's slope Line
pass through( 14, 4)( 21, 6 )
Answer:
[tex]\displaystyle m=\frac{2}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (14, 4)
Point (21, 6)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{6-4}{21-14}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{2}{7}[/tex]Anyone 100% know dis answer
Answer:
Rotational symmetry
Step-by-step explanation:
The rectangle rotated 180 degrees to get the transformed rectangle.
Find x for the trapezoid.
J
K
(2x+15).. (3x-20).
(x +15).
N4
M.
Answer:
50°
Step-by-step explanation:
All quadrilaterals' interior angles sum to 360°:
(x + 15)° + (2x + 15)° + (3x - 20)° + x° = 360°
x + 15 + 2x + 15 + 3x - 20 + x = 360
7x + 10 = 360
7x = 360 - 10
7x = 350
x = 50°
Plzzzzz help meeee
Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans
Answer:
ice sheets water vapor, and rivers
Step-by-step explanation:
vote brainiest if this helped
Answer:
c
Step-by-step explanation:
Among fatal plane crashes that occurred during the past 55 years, 347 were due to pilot error, 83 were due to other human error, 596 were due to weather, 374 were due mechanical problems, and 114 were due to sabotage. Construct the relative frequency distribution.
Required:
What is the most serious threat to aviation safety, and can anything be done about it?
Answer:
Pilot error = 347 / 1487 = 0.233 = 23.3%
Other human error = 83 / 1514 = 0.055 = 5.6%
Weather = 596 / 1487 = 0.401 = 40.1%
Mechanical problem = 374 / 1487 = 0.233 = 23.3%
Sabotage = 114 / 1487 = 0.077 = 7.7%
Step-by-step explanation:
Given the data :
Pilot error = 347
Other human error = 83
Weather = 596
Mechanical problem = 374
Sabotage = 114
Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487
Relative frequency :
Pilot error = 347 / 1487 = 0.233 = 23.3%
Other human error = 83 / 1514 = 0.055 = 5.6%
Weather = 596 / 1487 = 0.401 = 40.1%
Mechanical problem = 374 / 1487 = 0.233 = 23.3%
Sabotage = 114 / 1487 = 0.077 = 7.7%
Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.
Deployment of more weather monitoring technologies
By stips please ........
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct
Find the slope of the line for the angle.
330 degrees
Find the equation of a line perpendicular to 3x−4y=6 that contains the point (2,−4).
Answer: y= -4x/3 - 4/3
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=3x4−32.
The slope of the perpendicular line is negative inverse: m=−43.
So, the equation of the perpendicular line is y=−4x3+a.
To find a, we use the fact that the line should pass through the given point: −4=(−43)⋅(2)+a.
Thus, a=−43.
Therefore, the equation of the line is y=−4x3−43.
Answer:
Step-by-step explanation:
y=mx+b
3x-4y=6
4y=3x-6
y=(3x-6)/4
So the slope, m, is 3/4
For lines to be perpendicular m1(m2)=-1, in this case
3m/4=-1
m=-4/3 so our line so far is
y=-4x/3+b, using point (2,-4) we can solve for the y intercept or b
-4=-4(2)/3+b
b=-4/3 so
y=(-4x-4)/3
p = paint, r = rollers
Use 35.75p + 6r =190 to determine the number of paint needed if a customer bought 6 rollers
Answer: 4.31 point
Step-by-step explanation:
35.75p+6(6)=190 where 35.75p+36=190 35.75p=154 = 4.31 paint
Consider that AQRS is similar to ALMN and the measure of ZN is 42°. What is the measure of 2S?
A)
42°
B)
48°
56
D)
589
Answer:
A
Step-by-step explanation:
I don’t know what to do please help
Answer:
f(2)=0
Step-by-step explanation:
You plug in 2 for any X's in the equation
f(2)=2^2-4
Plz help i need to do number 12 i need the area and perimeter make sure you round to the nearest whole number
Answer:
Area= 24 and perimeter equals 12
Step-by-step explanation:
Answer:
I think the perimeter is 18mm
Step-by-step explanation:
i assume that the curve is 6mm I take 6+6+2+2=18
What is x equaled too
Answer:
8/15 or 8 over 15 should be the answer
i need help with finding slopes from graphs
Y=2+-4x
Step-by-step explanation:
Hope ot helps
Can someone please help me with these A B C D it’s urgent zoom in if needed I’ll also mark brainliest don’t just randomly answer I will report u
Answer:
First doing it by mental math.
a. you do the same thing that you do when evaluating the expression but do it in your mind. First add the numbers before the decimal point and then add the numbers after decimal point. Then add the decimal where in the equation the decimal point lies. I got 13.0 or 13 when I did it in my mind.
b. Over we see that we have a negative number in the beginning and then positive number. You must be thinking that this is going to be hard to calculate it in your mind, but actually it is very easy. add 5 + 4.6 + 1 in your mind. You will get 10.6. Now subtract 10.6 - 5.6. You will get 5.
c. This is also easy. You are given a mixed number. What you will do is first solve the whole numbers in your mind (3, 4, 1). 3 - 4 + 1 = 0. Now you are only left with fraction. Solve the fractions in your mind. This is a trick that I use that doesn't work in all fraction. Sometimes I will have to solve it on paper, but sometimes I can just use my mind to solve. If you see in the equation you have 2 fractions with same denominator. So, add 1/6 + 5/6 = 1. Now subtract 1 - 3/4. It will give you 1/4.
Now let us solve it on paper. I have attached a picture of it.
HELPPP ITS QUESTION 17 BTW
Answer:
c
Step-by-step explanation:
Answer:
12n
Step-by-step explanation:
Multiply 154.18 and 5 together. Round to the nearest hundredth when necessary.
Answer:
that will be 725.10 im not sure
Answer:
The answer is 770.9 and cant be rounded to the nearest tenth.
please help i cany figure this one out
Answer:
acute angle
Step-by-step explanation:
Big brain
Answer:
Adjacent
Step-by-step explanation:
A book and a magazine cost 9.00. If a book costs 3$ more than a magazine , what is the cost of each
Given the equation: x + 8 = 32
True or False:
The equation can be solved using subtraction.
Group of answer choices
True
False
Answer:
true by subtract ing 8 we solve it.
Answer:
True
Step-by-step explanation:
x + 8 = 32
x + 8 - 8 = 32 - 8
x = 24
help me please asap I'll give brainleist
B!!!!!!!!!!!!!!!!!!!!!!
hope this helps
Pls answer The Following Question
Answer:
15.
a)
i)43/9= 4 7/9
ii)17/4= 4 1/4
b)
i)3 9/11= 42/11 - 11 times 3=33, 33+9=42
ii)5 6/12= 66/12 - 12 times 6=60, 60+6=66
What is 9.52 rounded to the nearest tenth?
o 9.0
9.5
o 9.6
O 10.0
I need this fast
Answer:
9.5
Step-by-step explanation:
When rounding to the nearest tenth, check to see what the hundredths place value is.
If it is 0.05 or greater, we will round the tenths place up one.
If not, the tenths place will remain the same.
Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.
So, the correct answer is 9.5
Alex has 6,000 grams of jelly beans. He is filling boxes that each hold 2 kilograms of jelly beans and selling the boxes for $9.95. How much money will he make from selling the boxes?
Answer:
29.85
Step-by-step explanation:
since a kilogram i 1000 grams and he is putting 2 kilos in each box he can only fill 3 boxes.