Answer:
A) f(n) = 12 + 2(n-1)
Step-by-step explanation:
Arithmetic Sequence Formula:
a(n) = a(1) + (n-1)d
d = 2
a(1) = 12
a(n) = 12 + 2(n-1)
Answer:
Step-by-step explanation:
A) f(n) = 12 + 2(n-1)
9) 1 = 0.99 + z? 10
Answer:
0.99+10=10.99
Step-by-step explanation:
Suppose X has a continuous uniform distribution over the interval [−2,2]
a) Determine the mean, variance, and standard deviation of X
b) Determine the value of a such that P(−a
Answer:
Mean = 0
Variance = 4/3
Standard Deviation √4/3
a= 0.9
Step-by-step explanation:
If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12
Here a= -2 and b= 2
Now finding the mean = a+b/2=-2+2/2= 0
Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3
Standard Deviation = √Variance= √4/3
b) [tex]\int\limits^a_b f({x}) \, dx[/tex]= \int\limits^a_a {\frac{1}{a- (-a)} } \, dx
=1/2a[x]^a_-a= 2a/2a= 1 (applying the limits to the function)
P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a (applying the limits to the function)
P(−a<X<a)= 0.9
a= 0.9
In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.
Using the uniform distribution, we have that:
The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.An uniform distribution has two bounds, a and b.
In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].
The mean is:
[tex]E(X) = \frac{a + b}{2}[/tex]
Hence:
[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]
The variance is:
[tex]V(X) = \frac{(b - a)^2}{12}[/tex]
Hence
[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]
The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]
A similar problem is given at https://brainly.com/question/14767944
which is the perimeter of the triangle below?
ft
aft
foot
foot
O
1 foot
O 11
11
feet
Answer:
ft is premeter of triangle
Jazziel bought a smart phone 5 years ago for $90. His sister paid 30% more for the same model. Show your work in the space provided to answer the following questions. Part A: How much more did his sister pay for her phone? a) $27 b) $30 c) $36
Answer:
B
Step-by-step explanation:
90/3=30
Solve the equation algebraically (x-8)^2=25
Hey there!
ANSWER: [tex]x=8,13[/tex]EXPLANATION:[tex](x-8)^2=25[/tex]
To solve this equation, you will need to simplify both sides.
[tex]x^2-16x+64=25[/tex]
Now we will need to minus(subtract) 25 from both sides of the equation.
[tex]x^2-16x+64-25=25-25=x^2-16x+39=0[/tex]
Now we will need to factor out the left side.
[tex](x-3)(x-13)=0[/tex]
In our last step, we will need the set factors equal to zero.
[tex]x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
4a=23 Solve the equation. 4a=23 a=
Answer:
4a=23
4a/4 = 23/4
a=5.75
Step-by-step explanation:
Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.
Answer:
Step-by-step explanation:
y - 4 = -(x - 2)
y - 4 =-x + 2
y = -x + 6
30 divided by 1.25 with work
Answer:
24
Step-by-step explanation:
If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.
The result is: 30 divided by 1.25 equals 24.
To divide 30 by 1.25, follow these steps in words:
The division 30 ÷ 1.25 can be written as the fraction 30/1.25.
Remove the decimal by multiplying both the numerator and denominator by a power of 10 to convert the decimal into a whole number.
Since 1.25 has two decimal places, multiply both the numerator and denominator by 100 to remove the decimal:
30/1.25 = (30 * 100) / (1.25 * 100) = 3000 / 125
Find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD to simplify the fraction:
GCD of 3000 and 125 is 25.
3000 ÷ 25 = 120
125 ÷ 25 = 5
So, 3000/125 simplifies to 120/5.
Divide the numerator by the denominator to get the final result.
Now, simply divide the numerator (120) by the denominator (5):
120 ÷ 5 = 24
The result is 24.
So, 30 divided by 1.25 equals 24.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
.Find the unknown angles in each of the following figures and mention the property used
Answer/Step-by-step explanation:
a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°
x + y + 50° = 180° (sum of angles in a ∆)
x + 80° + 50° = 180 (substitution)
x + 130° = 180°
x = 180° - 130° (subtracting 130 from each side)
x = 50°
b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)
x = 120 - 50 (subtracting 50 from each side)
x = 70°
y + x + 50° = 180° (sum of angles in a ∆)
y + 70° + 50 = 180° (substitution)
y + 120° = 180°
y = 180 - 120 (subtracting 120 from each side)
y = 60°
Jasmine is a structural engineer. She designs the lift hill of a roller coaster that models the equation y=x3, where y is the height and x is the length from the start of the lift hill. Using this model, how far from the start of the lift hill does the ride reach a height of 343 meters?
Answer:
the anwser is 7 buddy hope it helps
A brick is shaped like a rectangular prism. The length is 8 inches. The height is 4 inches. The width is 4 inches. What is rhe surface area of the brick?
Answer:
160
Step-by-step explanation:
8(4)(2)= 64
4(4)(2)= +32
8(4)(2)= 64
______
160
Answer:
Step-by-step explanation:
Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
Answer:
80
Step-by-step explanation:
20 / 25 = 0.8 = 80%
Answer:
80%
Step-by-step explanation:
20/25 = 0.8 = 80%
Find the value of the variables in the figure to the right.
Answer:
x = 9
y = 56
Step-by-step explanation:
(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)
Find the value of x using this equation
[tex] 3x + 7 + 6x + 2 = 90 [/tex]
Collect like terms
[tex] 3x + 6x + 7 + 2 = 90 [/tex]
[tex] 9x + 9 = 90 [/tex]
Subtract 9 from each side
[tex] 9x + 9 - 9 = 90 - 9 [/tex]
[tex] 9x = 81 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{81}{9} [/tex]
[tex] x = 9 [/tex]
y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)
Plug in the value of x to find y
y = 6(9) + 2
y = 54 + 2
y = 56
simplify to create an equivalent expression -4(z+3)-4(5-4z)
7. Marisa has $26 in her purse. She pays $5 for
lunch Which
expression represents this situation? A. -26 -
(-5) B.-26 + 5 C. 26 + (-5) D. 26 + 5
Answer: I think the answer is C
Answer:
yea i agree with kassidy
Each school bus can hold 65 students. If there are 8 buses, how many students can ride the bus?
Answer:
520
Step-by-step explanation:
Suppose that the x-intercepts of the graph of y=f(x) are -9 and 3. What are the x intercepts of y= f(x+3)
Answer:
the anwser is 6
Step-by-step explanation:
Use the x- intercepts as the x becuase when x=0 it will give you the x- intercept.
therefore, just plug them in.
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27? 5 7 45 63
Answer:
7
Step-by-step explanation:
3x – one-ninthy = 18, when y = 27?
one-ninthy 27 = 3
3x - 3 = 18
3 x 7 = 21
21 - 3 = 18
hope this helps
Answer:
7
Step-by-step explanation:
answered on edge
plz click this help me and i am really desspprte and i do not want get in trouble plz my teacher is very strict.
someone said this was wrong and I realized that I was just confused so i fixed it
it's 3:1
Answer:
b
Step-by-step explanation:
The telephone company offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls and Plan 2 charges $13 per month plus $0.04 per call.
Answer:
Is there anything else to add onto the question? What are you trying to find :)?
The ratio of 1.4 to 29 is the same as the ratio of 2.8 to
Answer: Is the same as 2.8 to 58
Step-by-step explanation:
The ratio 1.4 to 29 could be written as 1.4/29 and the ratio 2.8 could be as
2.8/ x where x it he missing number.
Now set up a cross product equation to solve for x.
[tex]\frac{1.4}{29} = \frac{2.8}{x}[/tex] Cross multiply
1.4x = 81.2 Divide both sides by 1.4
x= 58
At a grocery store Daniel wants to buy 3 1/5 of ham. What decimal will be shown on a digital scale show? Write 3 1/5 as a fraction and then divide.
Answer:
3.2
Step-by-step explanation:
When a number x is multiplied by 6, the result is 3/8 What is the value of x?
Answer:
1/16.
Step-by-step explanation:
6x = 3/8
Divide both sides by 6:
6x / 6 = 3/8 / 6
x = 3/8 * 1/6
= 3/48
= 1/16.
Evaluate f(x)=-2×+5 for f(-5)
f(-5) = 15 (A)
Step-by-step explanation:f(x) = - 2x + 5
replace x = - 5
f(-5) = -2(-5) + 5
(-)(-) = +
f(-5) = 10 + 5
f(-5) = 15 (A)
f(-5) = -2(-5) + 5
(-)(-) = +
f(-5) = 10 + 5
f(-5) = 15 (A)
a.
b.
Select the following statement that is true
about shape a and shape b.
Find the vertex of the parabola with the equation y=-5x^2+30X+35
Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half gallon of juice. One of Ms. Albero's students said show will mix 8 scoops with 2 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct? *
Answer:
Yes, the student is correct.
Step-by-step explanation:
2*4=8 scoops
1/2*4=2 gallons
Since they were multiplied by the same number, the student is correct. It's like making it 4 times, but all at once.
I hope this was helpful!
Angle RST below is a right angle. What is the measure, in degrees, of
Answer:
RSM = 56.4
Step-by-step explanation:
RSM + MST = RST
RSM + 33.6= 90
Subtract 33.6 from each side
RSM + 33.6 - 33.6= 90-33.6
RSM= 90-33.6
RSM = 56.4
RST is a right angle, and right angles are 90 degrees
RST = 90 degrees
MST = 33.6 degrees
RSM = ?
The angles MST and RSM add up to 90 degrees
90 = 33.6 + RSM
Subtract 33.6 from both sides
56.4 degrees = RSM
In a hotel a servant needs to clean 30 rooms in 3 hours. How many rooms a servant needs to clean in 6 hours
Answer: 60 rooms
Step-by-step explanation:
because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms
4= 6/a x +5
solve for x