Answer:
a.) f(x) = [tex]\frac{1}{30}[/tex] where 90 < x < 120
b.) [tex]\frac{2}{3}[/tex]
c.) [tex]\frac{2}{3}[/tex]
d.) [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Let
X be a uniform random variable that denotes the actual charging time of battery.
Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.
⇒X ≈ ∪ ( 90, 120 )
a.)
Probability density function , f (x) = [tex]\frac{1}{120 - 90} = \frac{1}{30}[/tex] where 90 < x < 120
b.)
P(x < 110) = [tex]\int\limits^{110}_{90} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]
c.)
P(x > 100 ) = [tex]\int\limits^{120}_{100} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]
d.)
P(95 < x< 110) = [tex]\int\limits^{110}_{95} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}[/tex]
Can you help me on question six?!
Answer: A (1:2)
Step-by-step explanation:
Since there are 12 puppies total and 8 of the puppies are yellow labs, there must be 12 - 8 = 4 black labs. Now, the ratio of black labs to yellow labs is 4:8 because there are 4 black labs and 8 yellow labs. However, we can simplify this ratio by dividing the entire ratio by 4. In this case, we would get (4/4):(8/4), which simplifies to 1:2, which is the answer.
what is -6(a + 8) simplified?
Answer:
-6a-48
Step-by-step explanation:
Answer:
-6a - 48
Step-by-step explanation:
distribute
-6 x a = -6a
-6 x 8 = -48
put the answer together
-6a - 48
20 points Which of the following is NOT an advantage of using wind turbines to generate wind power? Wind turbines are not suitable for all geographical locations. O Wind turbines are affordable. Wind turbines do not emit carbon dioxide and do not require sunshine. O Wind turbines cause little disruption of ecosystems.
The option that does not describe an advantage of wind power is Wind turbines cause little disruption of ecosystems.
What is Wind power?Wind power is defined as the process by which the wind is utilized to generate mechanical power or electricity.
Wind power is the most sustainable, and renewable energy source which has a much smaller harmful influence on the environment as compared to the burning of fuels.
This is an environmentally friendly mechanism for synthesizing energy and electricity.
Wind turbines are not placed in large bodies of water that turbines are on land for the production of electricity.
Therefore, the option is Wind turbines cause little disruption of ecosystems.
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F(t)=212-6t
what is the value of t when F (t) = 140?
Answer: -628
Step-by-step explanation:
F(140) = 212 - 6(140)
F(140) = 212 - 840
F(140) = -628
HELP PLEASE IT'S DUE IN 5 MINUTES
Answer: A
Step-by-step explanation:
Solve the system of equations below.
3x +8= 2
7x + 3y = 1
Answer:
I love alegbra anyways
The ans is in the picture with the steps how i got it
(Hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
I NEED THE CORRECT ANSWER TO THIS ASAP!!!!!!!!!!!!!!!!!!
Answer:
15
Step-by-step explanation:
Which of these expressions represent solutions to the equation y3 = 64?
*Multiple answers can be selected*
Answer:
4, ∛64, -∛64
explanation:
they all mean the same thing
The expression [tex]y^{3} = 64[/tex] can be written as :[tex]y= \sqrt[3]{64}[/tex] or y= 4
The correct option is (II) and (VI)
What is cube root?
The cube root of a number is the factor that we multiply by itself three times to get that number.
We have given that:
[tex]y^{3} = 64[/tex]
we can write it as:
[tex]y= \sqrt[3]{64}[/tex]
y = [tex]\sqrt{4*4*4}[/tex]
y= 4
The answer is : [tex]y^{3} = 64[/tex]
[tex]y= \sqrt[3]{64}[/tex] or y= 4
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A coordinate plane.
Which statements are true? Check all that apply.
The line that goes through the points (3,7) and (–2,7) is a horizontal line.
The equation x = –8 is a vertical line that goes through the point (–8,3).
The line that goes through the points (0,5) and (0,–7) is a vertical line.
The points on a horizontal line have the same x-coordinate.
Answer:
A , B, and C
Step-by-step explanation:
i just did it
Grayson is going to invest $710 and leave it in an account for 17 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Grayson to end up
with $920?
Answer:
1.52%
Step-by-step explanation:
Each edge of a Rubik's cube has a length of 5.7 centimeters. What is the volume of
the Rubik's cube?
185.193 Cm, 5.7x5.7x5.7 is the volume
The volume of the Rubik's cube is 183.51 cubic centimeters.
To find the volume of a Rubik's cube, we can use the formula V = s ³, where V represents the volume and s represents the length of each edge.
In this case, the length of each edge is given as 5.7 centimeters.
Substituting this value into the formula, we have:
V = (5.7 cm) ³
Calculating the volume:
V = 5.7 cm * 5.7 cm * 5.7 cm
V = 32.49 * 5.7
V = 183.51 cm ³
Therefore, the volume of the Rubik's cube is 183.51 cubic centimeters.
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Find the value of x.
35
21
Х
X=
= [?]
Help
Step-by-step explanation:
Using Pythagoras theorem
x=✓(35²-21²)=✓784=28 units
I quite literally have no idea , please help
Answer:
The trapezoid is D
Step-by-step explanation:
I learned this in 3rd grade
The formula V equals S to the third power gives the volume V of a cube with the side length S the volume of a cube that has a side length of 3 inches is__?__ inches cubed
Answer:
27
Step-by-step explanation:
The formula for the volume of a cube is given as [tex]V=s^{3}[/tex]. if s=3in, then V=27inches cubed.
Find all solutions of the equation in the interval [0, 2π). 2cosθ+ 1= 0
Hello!
[tex]\large\boxed{\frac{2\pi}{3} \text{ and } \frac{4\pi}{3}}[/tex]
2cosФ + 1 = 0
Begin by isolating for cosФ. Subtract both sides by -1:
2cosФ = -1
Divide both sides by 2:
cosФ = -1/2
Using the unit circle, we know that from [0, 2π), values that have a cosine of -1/2 are 2π/3 and 4π/3.
Therefore, the solutions of this equation are:
Ф = 2π/3 and 4π/3
cos=0.985 rounded to nearest tenth
Which fraction is equivalent to (7-3)*3/10^4-10^2
A. 16/25
B. 1/25
C. 8/1125
D. 16/2475
Answer:
C.8/1125 is the answer......
Find the length of side x
Answer:
≈3.464
Step-by-step explanation:
1. the required 'x' belongs to the hypotenuse of the given triangle. It means, the formula of its length is:
x=4*cos30°=4*sin60°, note sin60°=cos30°=√3/2≈0.866.
2. according to the formula above the required length 'x' is:
x=4*0.866=3.464 (or 2√3)
help please (will mark brainliest or however you spell it)
Sophie has 5 pieces of string that are each 5 feet long. Cooper has 4 pieces of string that are each
3 feet long. Estimate how much more string Sophie has than Cooper has. Enter your answer in the bo
Answer:
Sophie has 12 feet more
Step-by-step explanation:
its something about cookies
Answer:
huh????
Step-by-step explanation:
Answer:
cool. i like cookies.
Divide 4 1/2 by the following unit fractions.
1/8
Answer:
The answer is 36
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
92÷18
Applying the fractions formula for division,
=9×82×1
=722
Simplifying 72/2, the answer is
=36
(This is fundamental Counting principle) choosing from 35 different flavors of ice cream; one, two or three scoops; and sugar or waffle cone.
Answer:
210
Step-by-step explanation:
35x3x2=210
Factorise x2 + x - 30
Answer:
If your polynomial is x^2+x-30, then your answer is (−5)(+6)
Solve for the value of n.
Answer:
3n-4= 44
3n=40
no u can solve
Answer:
17°
Step-by-step explanation:
3n - 5° + 90° + 44° = 180° { being linear pair }
3n + 129° = 180°
3n = 180° - 129°
3n = 51°
n = 51° / 3
n = 17°
Hope it will help :)
If x is a positive integer, which of the following must be an even integer that is twice the value of an odd integer.
A. 2x
B. 2x + 1
C. 2x + 2
D. 4x + 1
E. 4x + 2
Looking out for me balcony the angle of elevation to the top of the next building is approximately 22° in the English depression to the bottom of the building approximately 29° if the building is 200 feet away how tall is the building?
I will give brainliest to whoever solves it right. hint its not 80.7 feet
Answer:
Step-by-step explanation:
[tex]\tan22=h_1/200,\ \tan29=h_2/200
h_2+h_1=200(\tan29+\tan22)
H\approx 191.667ft
H\approx 191’ 8”
s is inversely proportional to t.
When s
0.4, t = 4
Work out s when t = 0.8
Answer:
0.2
Step-by-step explanation:
Sorry i dk how to explain it
If x = 4, what is the value of 10x + 147
Answer:
187
Step-by-step explanation:
10*4=40
40+147=187
Answer:
251
Step-by-step explanation:
x=4
104 +147=251
r+4 at r=13 help me
The value of the expression is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
r + 4
When r = 13
r + 4
= 13 + 4
= 17
Thus,
The value is 17.
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