Answer:
1/3+1/8+2/6=19/24-5=1/24
From the given parameters, the fraction of time spent doing other things is 5/24
How to determine the fraction of time?The given parameters are:
Sleep = 1/3
Homework = 1/8
Playing = 2/6
Doing other things = 5 hours
There are 24 hours in a day.
So, the fraction of time spent doing other things is the amount of time doing other things divided by the number of hours in a day
So, we have:
Time = 5/24
Hence, the fraction of time spent doing other things is 5/24
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At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hourâ (mph) and the standard deviation of the serve speeds was 13 mph. If nothing is known about the shape of theâ distribution, give an interval that will contain the speeds of at least eight-ninths of theâ player's serves.
a. 74 mph to 126 mph
b. 61 mph to 139 mph
c. 48 mph to 152 mph
d. 139 mph to 178 mph
Answer:
b. 61 mph to 139 mph
Step-by-step explanation:
Chebyshev's theorem states that
For k> 1
1 - 1/k²
Where:
At least 75% or 3/4 of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question, we are told to find an interval that will contain the speeds of at least eight-ninths of the player's serves.
Mean (μ)= 100mph
Standard deviation (σ) = 13mph
At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Hence:
μ - 3σ
100 - 3(13)
= 100 - 39
= 61 mph
μ + 3σ
= 100 + 3(13)
= 100 + 39
= 139 mph
Therefore, the interval is between 61 mph to 139 mph. Option b is correct
What is .64 2/3 in fraction form?
Answer:
32/75 in fraction form 0.426 in decimal
Step-by-step explanation:
0.64 2/3
convert tge decimal into a fraction = 64/100 reduce/simplify to 16/25
64 ÷ 4 = 16
___
100 ÷ 4 = 25
16/25 × 2/3 = 32/75
16 × 2 = 32
___
25 × 3 = 75
The simplified fraction form of .64 2/3 is 66/75. To convert the mixed number .64 2/3 to fraction form, we need to combine the whole number part and the fractional part.
The whole number part is 0.64, and the fractional part is 2/3.
To combine them, we multiply the whole number part by the denominator of the fraction and then add the numerator. Then, we put the result over the denominator.
Step 1: Convert the decimal to a fraction.
0.64 = 64/100
Step 2: Combine the whole number part and the fractional part.
0.64 2/3 = 64/100 + 2/3
Step 3: Find a common denominator (the least common multiple of 100 and 3 is 300).
0.64 2/3 = (64/100) + (200/300)
Step 4: Add the fractions.
0.64 2/3 = (64/100) + (200/300) = 264/300
Step 5: Simplify the fraction, if possible.
264/300 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.
264 ÷ 4 = 66
300 ÷ 4 = 75
So, the simplified fraction form of .64 2/3 is 66/75.
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What is the equation of this line?
y=1/2x−3
y=−1/2x−3
y=−2x−3
y=2x−3
Answer:
y=1/2x-3
Step-by-step explanation:
starting at the origin, you go down 3 to reach the line/point, hence the -3. Then you go up 1 over the right 2 to get reach the point, hence the 1/2.
It would not be negative 1/2 because we didn't go down 1 to the right.
A large wooden box, as shown, has a volume of 4352 ft3. The box is a right square prism with a base with sides that each measure 16 ft. What is h, the height of the box?
To find the volume of a prism, we can use the following formula:
[tex]V=base\hspace{3}area*height[/tex]
Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.
For a rectangular prism, the base area is solved using the following formula:
[tex]A=lw[/tex] ⇒ where l is the length and w is the width
Solving the QuestionWe're given:
V = 4352 ft³l = 16 ftw = 16 ftWe need to solve for the height of the box.First, find the base area:
[tex]A=lw\\A=16^2\\A=256[/tex]
Therefore, the base area is equal to 256 ft².
Now, modify the volume formula to isolate the height:
[tex]V=base\hspace{3}area*height[/tex]
⇒ Divide both sides by the base area:
[tex]\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}[/tex]
⇒ Plug in the given values:
[tex]height=\dfrac{4352}{256}\\\\height=17[/tex]
Therefore, the height of the box is 17 ft.
AnswerThe height of the box is 17 ft.
Answer:
17
Step-by-step explanation:
the function f(x) = 1/(x+1) is never equal to 0. true or false?
your answer is false
your welcome
Answer:
True
Explanation:
Any real numbers can equal 0 except 1.
Find the amount of tax owed: vacant land valued at $500,000.00; assessed at 18%; taxed at $6.50 per hundred dollars worth of property
Answer:
7
Step-by-step explanation:
Help me find the correct answer
Answer:
Step-by-step explanation:
Pay attention to the coordinates.
Because you are asked to find the perimeter, you need to determine the length of each side.
If the line is horizontal - you look at the x-coordinates. What's the distance between point A to point C?
For the diagonal sides you can use this formula:
d = Square root[( x 2 − x 1 ) ^2 + ( y 2 − y 1 ) ^ 2]
What is the following product?
Answer:
The answer is the last question (7x to-the-power-of 2 - 72)
Step-by-step explanation:
7x²+72 -6x√56
7x²+72-6x√(14×4)
7x²+72-12x√(14) because√(14×4)=2√14
Which graph represents the following system of inequalities? y < -3x+5 y < x+2 y < -1
Answer:
The attached graph represents the system
Step-by-step explanation:
Let us describe the graph of each line
In y < -3x + 5
∵ The sign of inequality without =
∴ The line represents it must be dashed
The slope-intercept form of the inequality is y < m x + b, where m is the slope and b is the y-intercept
∵ y < -3x + 5
∴ m = -3 and b = 5
∴ The direction of the line is to the left and intersect the y-axis at (0, 5)
∴ y < -3x + 5 represented by the green line
∵ The sign of inequality is <, then the shading is under the green line
In y < x + 2
∵ The sign of inequality without =
∴ The line represents it must be dashed
∴ m = 1 and b = 2
∴ The direction of the line is to the right and intersect the y-axis at (0, 2)
∴ y < x + 2 represented by the blue line
∵ The sign of inequality is <, then the shading is under the blue line
In y < -1
∵ The sign of inequality without =
∴ The line represents it must be dashed
∴ m = 0 and b = -1
∴ The line is horizontal and intersects the y-axis at (0, -1)
∴ y < -1 represented by the red line
∵ The sign of inequality is <, then the shading is under the red line
∵ The shading of the three inequalities is under the lines
∴ The solutions of the system of inequalities lie in the common
shaded part under the three lines
∴ The attached graph represents the system
The graph was plotted and is attached below.
Inequality is the unequal comparison of numbers or expressions.
Given the inequalities: y < -3x+5, y < x+2, y < -1
Graphing the above inequalities using the geogebra online graphing calculator.
The graph is attached below.
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It’s system of equations
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If 7 notepads cost $4.55, what is the unit price of the notepads?
Answer:
[tex]0.65[/tex]
Step-by-step explanation:
Given the following question
7 notepads cost $4.55 what's the unit price?
Unit price is price per unit, we find the price per unit by dividing the total cost of the notepads by the total amount of the notepads which is 7.
[tex]unitp=cost\div quantity[/tex]
[tex]7n=4.55[/tex]
[tex]4.55\div7=0.65[/tex]
[tex]=0.65[/tex]
The unit price of the seven notepads is "$0.65."
Hope this helps.
Gabriella is buying a pair of sneakers for $74.95. She has a coupon that will take $17.50 off the price of the sneakers.
How much will Gabriella pay for her sneakers after the discount?
$57.44
$56.45
$57.45
$56.65
Please help me ASAP
( I will mark brainliest )
Answer:
13.01d − 2.65
The liked terms are "3.26d + 9.75d". Just add them accordingly.
Which fraction correctly represents one whole?
Answer:
7/7
I hope that helped! :)
Answer:
7/7
Step-by-step explanation:
to have a whole you must have the same numerator and denominator because its a fraction split into portions so if you have a cake thats split into 10 pieces if you got rid of a piece it would no longer be a whole it would be 9/10 of the cake so use that for the future
QUICK PLZZZZ. |n-3|=5 solve the equation
Answer:
Step-by-step explanation:
-31 cannot equal 5 so the equation is false.
Answer:
n=8
Step-by-step explanation:
So, |n-3| means that the expression, n-3, is an absolute number (which is the difference from zero; just take off the negative sign if it has one)
Because the left side of the equation, 5, is a positive number, you would know that the equation can be solved by:
n-3=5 add 3 to both sides
n=8
You should also know that the absolute number (shown using | |) is not a negative number. (well, as long as the n is a real number)
Hope that helps!!!
7/8 × 5/4 what is the answer please
Answer:
[tex]\frac{35}{32}[/tex]
Step-by-step explanation:
1. (7/8) * (5/4)
2. (7)(5)
(8)(4)
Bonus : 35/32 as a decimal is 1.09375
Awnser provided by Education Point
Which fraction is equivalent to 5/12 + 2/3
Answer:
5/12 + 8/12 = 13/12 = 1 1/12
Step-by-step explanation:
This is the answer because:
1) You have to add the fractions, in order to add the fractions you have to find the common denominato.
2) The common denominato is 12 because 2 x 4 = 8 and 3 x 4 = 12. Therefore, 2/3 = 8/12.
3) Finally, once you add 5/12 and 8/12, you should get 13/12 which is also equal to 1 1/12.
Hope this helps! :D
Bob is buying the soccer team snacks after their game eight players want cookies and five players want ice cream if the ice cream cost $1.25 each and cookies cost $1.75 each how much will Bob spend on snacks for the team
Answer:
the total cost would be $20.25
Step-by-step explanation:
Write the ratio in simplest form.
14:28?
How do I do that?
Answer:
2/3 is simplest form
Step-by-step explanation:
you find the greatest common factor of both numbers, in this case it is 7. Then, you divide both numbers by the greatest common factor to get the simplest form.
hope this helps ☺
Answer:
2/3 is
Step-by-step explanation:
y = 5x+p point (-2, 1) p=?
What is the domain of the function f(x)=−12x+15? PLEASE HELP!!!
x≤30x≤30
x≥0x≥0
x≥−2x≥−2
all real numbers
Answer:
Fourth option
Step-by-step explanation:
Given the following question:
[tex]f(x)=-12x+15[/tex]
The domain of a function is all possible x inputs for a function, on the contrary range of a function would be all possible y inputs for a function.
[tex]f(x)=-12x+15[/tex]
Since the function has all defined points, it basically means that the functions possible x inputs are "all real numbers" or the fourth option.
[tex]-\infty \: < x < \infty[/tex]
Hope this helps.
The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A, where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
74
67
60
42
Answer:
67.3°C
Step-by-step explanation:
A = 25, T(0) = 100, T(1) = 90, find T(4)
dT/dt = -k(T - A)
d(T - A)/dt = -k(T - A)
d(T - A)/(T - A) = -k dt
ln(T - A) = lnC - kt
[tex]T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75[/tex]
[tex]T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3[/tex]
A group of students went on a field trip. There were 3 boys for every 4 girls in the group. If there were 20 girls, how many students in all went on the field trip?
Answer:
35 students
Step-by-step explanation:
So if every 3 boys there is 4 girls you can solve that there is 5 times the amount of girls to get to 20. So to solve for the boys you do the same.
3 x 5 = 15
That means there are 15 boys and 20 girls but we want to know the total so what you do is just add 15+20=35
So 35 total students.
Hope that helps and have a great day!
Complete the solution of the equation. Find the
value of y when x equals 0.
-7x + 3y = 30
Enter the correct answer.
000
DONE
Clear all
+
Hello!
Let's consider what the question asks for
--> value of 'y' when 'x = 0'
-7x + 3y = 30
Let's plug in '0' into x and solve for 'y'
[tex]-7x+3y=30\\\\-7(0)+3y=30\\\\y=10[/tex]
Thus y = 10 when x = 0
Answer: 10
We are given the equation:
[tex]\rm{-7x + 3y = 30}[/tex]To find the value of y when x equals 0, we need to substitute 0 for x in the equation and solve for y:
[tex]\rm{-7(0) + 3y = 30}[/tex]Simplifying the equation:
[tex]\rm{3y = 30}[/tex]Dividing both sides by 3:
[tex]\boxed{\rm{y = 10}}\quad\green{\checkmark}[/tex][tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]
Find the diameter of a circle with an area of 30.25 pi.
Answer:
11
Step-by-step explanation:
Radius = R, Diameter = D
Area of a circle A = πR² = π(D/2)² = πD²/4
so D² = 4A/π = 4*30.25π/π = 121
[tex]D=\sqrt{121} = 11[/tex]
Everyone in Arianna's family takes a turn making a special dinner. This week, Arianna made a pan of her brother's favorite vegetable lasagna. The lasagna came out shaped like a rectangular prism that is 13 inches long, 9 inches wide, and 1
1
2
inches tall. Arianna cut the lasagna into 12 equal pieces and served the first piece to her brother.
What is the volume of the piece of lasagna Arianna served to her brother?
Write your answer as a whole number, proper fraction, or mixed number.
Answer:
13 times 1 1/2 is 19 1/2 and 19 1/2 times 9 is 175 1/2 and 175 1/2 divided by 12 is 14 5/8 so the answer is 14 5/8
Step-by-step explanation:
Help plz and thank u
Answer:
Rate of Change is 2
Step-by-step explanation:
The y values are changing by 4
The x values are changing by 2
Rate of change = Change of y/Change of x
4/2=2
Help please!
Area of a triangle using trigonometry!
Answer: 120
Step-by-step explanation: u just multiply the 2 numbers together
find the measure of CF
Answer:
the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degrees
Answer:
the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degree.
step-by-step explanation:
For an object whose velocity in ft/sec is given by v(t) = −t2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs?
1.333
2.438
2.667
−4
Answer:
1.333
Step-by-step explanation:
Distance travelled (or displacement) will be the antiderivative of Velocity.
Antiderivative of -t^2 + 2 =
d(t) = -t^3/3 +2t
Now plug in t=2 and t=0 and subtract them.
(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333
Answer:
1.333
Step-by-step explanation:
We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.
x(t) = [tex]\int\limits^2_0 {t^{2} +2} \, dt[/tex] = -t³/3 + 2t (evaluated from zero to two)
= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...