Answer:
close to 0
Step-by-step explanation:
Our probability P(E) = number of desired outcome/number of possible outcomes.
Since we have a six-sided die, the number of possible outcomes = 6.
Also, since we have a number less than 2, which that number is 1, the number of desired outcomes is 1.
So probability of obtaining a number less x than 2 is the probability of obtaining a 1 = P(1).
So, P(1) = 1/6 = 0.1667
Since P(1) = 0.1667, it is close to 0.
So, the answer is close to 0.
What is the 18th term in this sequence?
5. 11, 17, 23. ...
The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below: Step 1: 2(3x − 4) = 8 + 2x + 4 Step 2: 5x − 6 = 12 + 2x Step 3: 5x − 2x = 12 + 6 Step 4: 3x = 18 Step 5: x = 6 In which step did the student first make an error and what is the correct step? (5 points) Step 2; 6x − 6 = 2(6 + x + 2) Step 2; 6x − 8 = 12 + 2x Step 3; 5x − 2x = 12 − 6 Step 3; 5x + 2x = 12 + 6
Answer:
B: Step 2; 6x − 8 = 12 + 2x
Step-by-step explanation:
the student added 2 x 4 during the distributive property but you must multiply so you get 8 rather than 6.
Answer:
b
Step-by-step explanation:
Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wrap around the can?
Answer:
218 cm²
Step-by-step explanation:
Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can?
The formula to solve the above question is given as:
The curved or the lateral surface area of the cylinder = 2πrh
Where:
r = 3.4 cm
h = 10.2 cm
The curved or the lateral surface area of the cylinder = 2 × π × 3.4 cm × 10.2 cm
= 217.9 cm²
Therefore, the approximate area of the label that wraps around the can is
218 cm².
What is the surface area of this rectangular prism, in square meters? 3 m 7 m 13 m
Answer:
302
Step-by-step explanation:
7*13*2 + 3*7*2 + 3*13*2 = 302
Jose has $400 in the bank. Each week, he saves $130. He wants to know when he will have at least $1000
Answer:
Do 400 x 130 then whatever you get divide it by 1000
Step-by-step explanation:
Answer:
In at least 5 weeks, Jose will have at least 1000$
Step-by-step explanation:
Hope this helps!!!
If RSTU is a rhombus, find m< UTS.
R
S
(10x - 23)
T
(3x + 19)
Answer:
106°
Step-by-step explanation:
The requried measure of the angle m∠ UTS is given as 106°.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
here,
For rhombus,
Diagonal of the rhombus, it bisects the angle of the rhombus.
So,
10x - 23 = 3x + 19
x = 37
Now,
∠RUT + ∠UTS = 180
[37 + 37] + ∠UTS = 180
∠UTS = 180 - 74
∠UTS = 106°
Thus, the requried measure of the angle m∠UTS is given as 106°.
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A cylinder has a base with a radius of 7 cm and a volume of 615.44 cm3. Use 3.14 for π . Write and solve an equation to find the height of the cylinder.
Answer:
The height is 4 cm
Step-by-step explanation:
V = (pie) x radius² x height
615.44 cm³ = (3.14) x 7² x h
h = 615.44 cm³/(3.14 x 49)
h = 615.44 cm³/153.86
h = 4 cm²
25% of what is 84? help me and my other questions, please.
Answer:
25% of 84 = 21
Step-by-step explanation:
Which sum or difference is modeled by the algebra tiles?
A. (x2 - 2x + 3) - (-x - 4x - 2) = 2x - 1
B. (x - 2x - 3) + (x2 - 4x + 2) = 2x - 1
C. (x2 - 2x-3) - (x + 4x + 2) = 2x - 1
D.(X2-2x-3) + (-x2 +4x+2)=2x-1
The sum or difference modeled by the algebra tiles shown in the image is: [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1[/tex]. The correct option is C.
What is algebra?Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols.
The tiles on the left side of the equation represent the polynomial x^2 - 2x - 3, which can be factored as (x - 3)(x + 1).
The tiles on the right side of the equation represent the polynomial -x - 4x - 2, which can be simplified as -5x - 2.
Substituting these expressions into the original equation, we get:
(x - 3)(x + 1) - (-5x - 2) = 2x - 1
Expanding the left side and simplifying, we get:
[tex]x^2 - 2x - 3 + 5x + 2 = 2x - 1[/tex]
Simplifying further, we get:
[tex]x^2 + 3x - 2 = 2x - 1\\x^2 + x - 1 = 0[/tex]
This is a quadratic equation that can be factored as (x + 1)(x - 1) = 0, which has roots x = -1 and x = 1.
Therefore, the sum or difference modeled by the algebra tiles is C. [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1.[/tex]
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what's equivalent to y-1=-5(x-4). A,y=-5x-19. B,y=-5x+19 C,y=-5x-21 D,y=-5+21
Answer:
it must be y=-5x+21
Step-by-step explanation:
lets type the equation in front of us and make it simple so we can deal with it
y-1=-5(x-4)
first thing you need to do is to remove those brackets by multiplying whats in the bracket by -5 like this
y-1=-5x+20 -5*x=-5,, -5*-4=20 (note: when you multiply negative with
negative result is positive)
then add each side by 1 so it will be
y=-5x+21
Kyle earns $68.75 for mowing 3 lawns.
How much will he earn for mowing 8 lawns?
Answer:
I think the answer is 183.28
Step-by-step explanation: I divided 68.75 by 3 and got 22.91
so I multiplied 22.91 and 9.
please help due 15 min hurry
a different rectangle has a perimeter of 144 feet. The difference between its length and width is 12 feet. Solve it by elimination.
Answer:
12
Step-by-step explanation:
HELP MEEEEE PLEASEEEEEE
Answer:
8.6
Step-by-step explanation:
There is an easier way which is finding the slope of the equation but I'm going to stick to distance formula(which is easier for me).
For this, you would have to know the distance formula which is
d=√(x2−x1)^2+(y2−y1)^2
Which simplifies into [tex]\sqrt{(7)^2 +(5)^2}[/tex] which you get from 6-(-1) and -2-(-7)
Further simplifies into [tex]\sqrt{49+25}[/tex]
=[tex]\sqrt{74}[/tex]
=8.602325
use the distance formula:
√ ( x2 - x1 )² + ( y2 - y1 )²
√ ( 6 - ( - 1 ) )² + ( - 2 - ( - 7 ) )²
√ ( 7 )² + ( 5 )²
√ 49 +25
√ 74
8.602325267
8.6 is the answer
I need help with studying
If you are finding the median of a data set, are you finding a measure of center or a measure of variation?
Median is a measure of center. To find the median, you find the middle, or center, of the data set. Mean would be an example of a measure of variation.
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hope it helps
What is the volume of the circular cylinder if height is 25 and circumference 12
Answer:
V = 900π ≈ 286.47 units³
Step-by-step explanation:
C = 2πr
12 = 2πr
r = 12/2π = 6/π
V = 2πr²h
V = π(6/π)²(25) = π(36/π²)(25)
V = 36/π(25) = 900/π ≈ 286.47
Find the length indicated please!!
If f(x) = 2x – 6 and g(x) = x – 2x2, find each value.
f(h + 9)
Answer:
Solution for If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)
The required value of each function is
f(h + 9) = 2(h + 6)
g(h + 9) = -(2h + 19)(h - 9)
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Now the given functions are,
f(x) = 2x – 6
g(x) = x – 2x²
Now putting x = h + 9 in f(x) and g(x)we get,
f(h + 9) = 2(h + 9) – 6
⇒ f(h + 9) = 2h + 18 – 6
⇒ f(h + 9) = 2h + 12
⇒ f(h + 9) = 2(h + 6)
and
g(h + 9) = (h + 9) – 2(h + 9)²
⇒ g(h + 9) = h + 9 – 2(h² + 81 + 18h)
⇒ g(h + 9) = h + 9 – 2h² + 162 + 36h
⇒ g(h + 9) = -2h² + 37h + 171
⇒ g(h + 9) = -(2h + 19)(h - 9)
Thus, the required value of each function is
f(h + 9) = 2(h + 6)
g(h + 9) = -(2h + 19)(h - 9)
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What are the coordinates of the vertex of the parabola?
Answer:
A
Step-by-step explanation:
f(x) = a(x – h)^2 + k
Vertex (h, k)
according to the equation h= -3 k= -8
Define the following vocabulary words
A.Factor
B.Variable
C.Product
D.Coefficient
Answer:
c
Step-by-step explanation:
Answer:
A factor is a circumstance or action that will/would influence an outcome.
A variable is something that is liable to change or something that isn't temporary.
A product is a result of an action or a process.
Coefficient means a quantity is being multiplied by the variable, for instance:
4 (the coefficient) X (the variable) - (the operator) 7 (the constant) = 5 (the constant)
What that looks like is: 4x-7=5.
Explain how you found the unit rate for the previous activity. Then, explain how you used this information to graph this relationship.
Answer:
.
Step-by-step explanation:
. Neve is examining a tree limb. She notices that the smaller branches spiral away from the larger limb. The limb has 1 branch, then another single branch. After that, the branches spiral in the pattern {2, 3, 5, 8, …}. Can you model the tree growth with the Fibonacci sequence? Explain.
Answer:
[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]
Step-by-step explanation:
Given: The smaller branches spiral in the pattern [tex]\{2,3,5,8,...\}[/tex] from a larger limb.
To model: the tree growth with the Fibonacci sequence
Solution:
Take [tex]a_1=2[/tex]
Let [tex]a_n[/tex] denotes the [tex]n^{th}[/tex] term.
[tex]a_2=3=2+1=2+(2-1)=a_1+(2-1)\\a_3=5=3+2=3+(3-1)=a_2+(3-1)\\a_4=8=5+3=5+(4-1)=a_3+(4-1)[/tex]
So,
[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]
Answer:
Yes.
Step-by-step explanation:
The pattern in which the branches are growing off the limb is {1, 1, 2, 3, 5, 8, …}, meaning you can use the model with tree growth.
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 8 years?
Answer:
$90
Step-by-step explanation:
Given data
Price= $900
Rate= 25%
Time= 8 years
Let us apply the compounding formula
A= P(1-r)^t >>>>note that the negative sign is because of the depreciation
substitute
A= 900(1-0.25)^8
A= 900(0.75)^8
A= 900*0.100
A= $90
Hence the value of the car after 8 years will be $90
Can someone plz help me with this one problem plzzzzz
I’m Marking Brainliest!!!
The circumference of a circle is 94.2 millimeters. What is the circle's radius?
Answer:
14.99
Step-by-step explanation:
In AMNO, the measure of Z0=90°, the measure of ZN=38°, and OM = 87 feet. Find
the length of NO to the nearest tenth of a foot.
N
38
X
M
87
Answer:
30.4
Step-by-step explanation:
Given the series 2+ 6 + 18+
*
use an appropriate formula to find S12.
Please put full solution.
Answer: Samsung Galaxy S12
Answer:
S₁₂ = 531440
Step-by-step explanation:
There is a common ratio between consecutive terms, that is
r = 6 ÷ 2 = 18 ÷ 6 = 3
This indicates the sequence is geometric with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex] ( r ≠ 1 )
where a is the first term and r the common ratio
Here a = 2 and r = 3 , then
S₁₂ = [tex]\frac{2(3^{12}-1) }{3-1}[/tex]
= [tex]\frac{2(531441-1)}{2}[/tex]
= 531441 - 1
= 531440
earn 5 coins Which of the algebraic expressions below is equal to 20? Select all that apply. A) (5)(0.6) x 7 B) (C) (15) + 8 C) 4. (8 + 2) = 2 D) 14 + 4(2 + 3)
Answer:
A) (5)(0.6) x 7 = 3 x 7 =21
B) (C) (15) + 8
C) 4. (8 + 2) = 2 = 4(10)
D) 14 + 4(2 + 3) = 14 + 4(5) = 14 + 20 =34
Sorry not clear your question
Step-by-step explanation:
Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space, m, m, end text, and 7\text{ mm}7 mm7, start text, space, m, m, end text. It has three acute angles. Complete the sentence to describe the triangle Lauren drew. Lauren's triangle is
Answer:
Lauren's triangle is an isosceles triangle
Step-by-step explanation:
Given the sides of a triangle as 7mm, 9mm and 7mm.
From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.
An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE
Answer:
Lauren's triangle is an isosceles triangle
Step-by-step explanation:
Given the sides of a triangle as 7mm, 9mm and 7mm.
From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.
An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE