It is correct to state that a bit can be in one of 2 states, either 1 or 0.
What is a bit?A bit is is a single binary digit. A bit can either be "1" or "0".
What is the explanation to the above answer?We stated that It is correct to indicate that a bit can be in one of 2 states, either 1 or 0. This indicates that 2ⁿ strings must be created in total. The string must then be processed twice.
The first time, for generation andThe second for reading.Hence, Our time is now O(2ⁿ⁺¹) = O(2ⁿ)
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Figure M and it’s congruent image, figure N, are graphed on the coordinate plane below.
Describe a sequence of transformations that will take figure M onto its congruent image, figure N.
EXPLAIN THE ANSWER!!
The reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
As we can see in the graph there are two shapes are shown.
Figure M and Figure N
The sequence of transformations that will take figure M onto its congruent image, figure N is:
First, we need to draw a line that passes through (3, 0) and (0, -3)
The equation of the line is:
[tex]\rm y+3=\dfrac{\left(-3\right)}{-3}\left(x\right)[/tex]
y + 3 = x
y = x - 3
The reflection over the above line will take figure M onto its congruent image, figure N.
Thus, the reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.
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find the area for this pls
Answer:
Area = 3.36 in²
Step-by-step explanation:
[tex]Area\space\ of \space\ trapezium = \frac{a \space\ + \space\ b}{2} h[/tex] ,
where a and b are the two parallel sides, and h is the height.
[tex]Area = \frac{1.3 \space\ + \space\ 3.5}{2} (1.4)\\\\Area = 3.36 \space\ in^{2}[/tex]
Find the slope of every line that is parallel to
the line on the graph
Answer:
[tex] - \frac{1}{6} [/tex]
Step-by-step explanation:
Using the slope formula:
[tex] \frac{ - 1 - 0}{0 - ( - 6)} = - \frac{1}{6} [/tex]
The points (0, -8) and (10, 2) represent the endpoints of a diameter of a circle. Which of the following represents the equation of this circle?
Answer:
(x-5)²+(y+2)²=200.
Step-by-step explanation:
1) using the given coordinates it is possible to calculate
- the centre of the given circle:
[tex]x_0=\frac{10+0}{2}=5; \ y_0=\frac{2-8}{2}=-2;[/tex]
- the radius of the given circle:
[tex]r=\sqrt{(10-0)^2+(2+8)^2} =\sqrt{200} ;[/tex]
2) finally, the required equation (common form is (x-x₀)²+(y-y₀)²=r²):
(x-5)²+(y+2)²=200.
Bret is planning a long hike. He figures that he will need at least 0.75 liters of water for each hour on the trail. He also wants to have 1.8 liters of water in reserve at all times. If he can only carry 9 liters of water maximum, how many hours can he hike?
The number of hours that Bret can hike with 9 liters of water is 9.6 hours.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
Water needed = 0.75 liters per hour
For x number of hours = 0.75x liters
Reserved water = 1.8 liters.
Total water needs for x hours = (0.75x + 1.8)
The number of hours that can be hiked with 9 liters will be as,
(0.75x + 1.8) = 9
x = 9.6 hours.
Hence "The number of hours that Bret can hike with 9 liters of water is 9.6 hours".
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Consider the algebraic expression √ 7 x 18 + 12.1 x 15 + π 4 x 6 + 1 9 . What is the degree of this polynomial? Identify the leading coefficient. Identify the leading term.
The degree of the provided polynomial is 18, and the leading term is √7.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have given an expression:
[tex]= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9[/tex]
As we can see in the expression the greatest degree is 18.
So the degree of the polynomial is 18
And the coefficient of the variable which has a height degree is the leading term.
The leading term = √7
Thus, the degree of the provided polynomial is 18, and the leading term is √7.
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Each conditional statement below is true. Write its converse. If the converse is also true, combine the statements as a biconditional.If x = —10, then x2 = 100.
The converse of the statement will be : if x^2 = 100 then x = -10, which is not true.
How to find the true statement?In order to write a converse of a conditional statement "p then q", will be "q then p" the hypothesis and conclusion interchanges.
Then the converse of the statement will be :
if x^2 = 100 then x = -10,
which is not true.
Since , x = +10, then x^2 = 100
Therefore, if x^2 = 100 then x = -10, which is not true.
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find x and y please please help
L1 and L2 are parallel
so the interior alternate angles are equal
4y - 40 = 3y ( interior alternate angles)
4y - 40 = x + 15 ( vertically opposite angles).
solving the first equation, we get
4y - 3y = 40
y = 40°
putting values of y= 40° in eq. 2, we get
4y - 40= x + 15
4(40) - 40 = x + 15
160 -40 = x + 15
120 - 15 = x
105° = x
X = 105° , Y = 40°has a bag containing twenty balls. There are twice as many yellow balls than blue balls, but the yellow balls are only a third of the red balls. The green balls are the same number as the blue balls. How many are each of the colour ball?
Answer:
Yellow: 4
blue: 2
red: 12
green: 2
What is the remainder of x^5+2x^4+9x^3-6x^2+3x+3165 divided by x-5
Answer:
8530
Step-by-step explanation:
The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530
or
Soda is often packaged in cans that are supposed to contain 12 ounces. However, no
manufacturing plant is perfect and so there might be slight errors. For example, Sam's Splendid
Soda company has verified that the amount of soda in their cans has a normal distribution with
a mean of 12 ounces and a standard deviation of 0.7 ounces. Although this is made up, it's not
completely divorced from the truth.
1. You open a can of Sam's and realize there are only 11.6 oz in the can. What is the
probability that a single can will contain 11.6 ounces or less of soda? (2 points)
2. Troubled by the under-filled soda, you decide to empty out all the cans in a six pack of Sam's
Soda and find that the mean amount of soda in all the cans is 11.6 ounces. What is the
probability that six pack will have a mean of 11.6 ounces or less of soda? (2 points)
3. Not satisfied with the information you figured out in #2, you take a case (36 cans) and
empty out all the cans of Sam's Soda and find that the mean amount of soda in all the cans is
11.6 ounces. What is the probability that case will have a mean of 11.6 ounces or less of soda?
(2 points)
4. Draw three normal distributions on the same set of axes or with the same scale to show
how the probabilities decrease from one can to six cans to 36 cans even though we're looking
at "less than 11.6 ounces." (2 points)
5. Use the graphs and your own understanding of the Central Limit Theorem to write a few
sentences explaining what is happening here. (2)
The probability that a single can will contain 11.6 ounces or less of soda is 0.2843
Probability that a can contains 11.6 ounces or lessThe given parameters are:
x = 11.6
Mean = 12
Standard deviation = 0.7
Calculate the z value using:
[tex]z = \frac{x - \bar x}{\sigma}[/tex]
This gives
[tex]z = \frac{11.6-12}{0.7}[/tex]
z = -0.57
The probability is then calculated as:
P(x ≤ 11.6) = P(z ≤ -0.57)
Using the z table of probabilities, we have:
P(x ≤ 11.6) = 0.2843
Probability that a pack contains 11.6 ounces or lessIn (a), the probability that a can contains 11.6 ounces or less is 0.2843
The probability that all cans in a pack contains 11.6 ounces or less is
P(6) = 0.2843^6
P(6) = 0.00053
Probability that a case contains 11.6 ounces or lessIn (a), the probability that a can contains 11.6 ounces or less is 0.2843
The probability that all cans in a case contains 11.6 ounces or less is
P(36) = 0.2843^36
P(36) ≈ 0
Draw three normal distributionsSee attachment for the normal distributions
The happening on the graphThe summary of the graph is that, as the sample size increases the probability decreases
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This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane. xxx yyy -12−12minus, 12 141414 -2−2minus, 2 212121 888 282828 What is the xxx-intercept of the line? ((left parenthesis ,,comma ))
Answer:
(-32, 0)
Step-by-step explanation:
Answer:
(-32,0)
Step-by-step explanation:
NEED HELP ASAP PLEASEE
Answer:
2nd one is the correct
Two angles are complentary if the sum of their measures is 90 °. Find two complentary angles such that one of the angles is 165° less than 4 times the other angle
Answer:
51° and 39°
Step-by-step explanation:
x + 4x - 165 = 90
5x = 90 + 165
5x = 255
x = 255 / 5
x = 51
4 x 51 = 204
204 - 165 = 39
2 angles are 51 and 39
Which equation represents a circle with a center at (-5,5) and a radius of 3 units?
Answer:
[tex] {(x + 5)}^{2} + {(y - 5)}^{2} = 9 [/tex]
I cannot crack this one, somebody please assist me
These [tex]N[/tex] outcomes make up the entire sample space, so
[tex]\displaystyle \sum_{k=1}^N P(e_k) = P(e_1) + P(e_2) + P(e_3) + \cdots + P(e_N) = 1[/tex]
We're given that [tex]P(e_{j+1}) = 2 P(e_j)[/tex] for all [tex]j\in\{1,2,\ldots,N-1\}[/tex], so
[tex]P(e_1) + 2 P(e_1) + 2^2 P(e_1) + \cdots + 2^{N-1} P(e_1) = 1 \\\\ \implies P(e_1) = \dfrac1{1 + 2 + 2^2 + \cdots + 2^{N-1}} = \dfrac1{2^N - 1}[/tex]
Then we can solve the recurrence relation to get the probability of the [tex]j[/tex]-th outcome,
[tex]P(e_{j+1}) = 2 P(e_j) = 2^2 P(e_{j-1}) = 2^3 P(e_{j-2}) = \cdots \\\\ \implies P(e_{j+1}) = 2^j P(e_1) \\\\ \implies P(e_j) = 2^{j-1} P(e_1) = \dfrac{2^{j-1}}{2^N - 1}[/tex]
The probability of getting this sequence of [tex]k[/tex] outcomes is then
[tex]\displaystyle P(E_k) = P(e_1) + P(e_2) + \cdots + P(e_k) = \sum_{j=1}^k \frac{2^{j-1}}{2^N-1} = \frac{2^k-1}{2^N-1}[/tex]
as required.
Some preliminary results: If [tex]S[/tex] is the sum of the first [tex]n[/tex] terms of a geometric series with first term [tex]a[/tex] and common ratio [tex]r[/tex], then
[tex]S = a + ar + ar^2 + \cdots + ar^{n-1}[/tex]
[tex]\implies rS = ar + ar^2 + ar^3 + \cdots + ar^n[/tex]
[tex]\implies S - rS = a(1 - r^n)[/tex]
[tex]\implies S = \dfrac{a(1 - r^n)}{1 - r}[/tex]
which gives us, for instance,
[tex]1 + 2 + 2^2 + \cdots + 2^{N-1} = \dfrac{1 - 2^N}{1 - 2} = 2^N-1[/tex]
A couple decides that Sophia will drive the first 3/5 of a trip and Toby the last 2/5. The entire trip is A couple decides that Sophia will drive the first 3/5 of a trip and Toby the last 2/5. The entire trip is 500 miles long. How far will Sophia drive?500 miles long. How far will Sophia drive?
Answer:
60 miles
Step-by-step explanation:
miles that Sophia drove = 3/5 x 100 = 60 miles
A fraction is a way to describe a part of a whole. The distance covered by Sophia and Toby is 300 miles and 200 miles, respectively.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
A fraction can also be described in the form of a percentages, to represent the part of the whole.
Given that the length of the entire trip is 500 miles. Also, the first 3/5 of the trip are covered by Sophia and the last 2/5 of the trip are covered by Toby.
Now, the distance covered by Sophia and Toby will be,
Distance covered by Sophia = (3/5) × 500 miles = 300 miles
Distance covered by Toby = (2/5) × 500 miles = 200 miles
Hence, the distance covered by Sophia and Toby is 300 miles and 200 miles, respectively.
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What is the solution to this system of equations?
Negative 3 x + 5 y = negative 2. 3 x + 7 y = 26.
(4, 2)
(2, 3 and one-third)
no solution
infinitely many solution
The solution to the system of equation is (-4 , 2) , Option A is the right answer.
What are System Of equation ?A set of equation whose factors are common are called system of equations.
It is given in the question
3x +5y = -2
3x +7y = 2
On solving this we get
-2y = -4
y = 2
On substitution in any equation
x = -4
Therefore solution to the system of equation is (-4 , 2) , Option A is the right answer.
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Answer:
A.
Step-by-step explanation:
took tha quiz
Round to the nearest ten thousandths 15.76548908 *
How do I find the domain and range in this graph?
Answer:
Domain: [tex]-4 < x \leq 4[/tex]Range: [tex]0 \leq y \leq 4[/tex]Step-by-step explanation:
The domain is the set of x values, and the range is the set of y values.
What is the area of a rectangle with vertices at (6, −3), (3, −6) , (−1, −2), and (2, 1)? Enter your answer in the box. units²
The area of triangle is 24 sq. units
What is Area of rectangle?Area of rectangle is product of its length to its breadth.
i.e., Area of rectangle = length* breadth
let A(6, -3), B(3, -6), C( -1, -2) and D( 2, 1)
Using distance formula
AB = √(3-6)²+ (-6 +3)²
AB= √9 + 9
AB= √18
AB= 3√2
now,
BC= √(-1-3)²+ (-2 +6)²
BC = √16 +16
BC = √32
BC =4 √2
Now, Area of rectangle
= AB* BC
= 3√2 *4 √2
= 12*2
= 24 square units
Hence, area of rectangle is 24 sq. units
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March 8, 2017, one U.S. dollar was worth 66.79 Indian rupees.
a) On that date, how many dollars was 110.66 rupees worth?
Round your answer to the nearest hundredth of a dollar. I need help with this question.
[tex] \huge \tt \underline {\green{Answer}}[/tex]
If on March 8, 2017 , one U.S. dollar worth 66.79 Indian rupees
ie. $1 = Rs 66.79
$ 1 = 66.79 × 1
$ ? = 110.66
$ = New / old
$ = 110.66 / 66.79
$ = 1.65683485552
or
$1.66 = 110.66
Please answer this question!! <3 <4 <5 <6 <9
The correct answer is option C which is the angle LMO is 50°
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Given that:-
∠O = 70°
∠L = 60°
∠LMO =?
As we know that the sum of the three angles are 180 degree applying this relation:-
∠LOM + ∠OLM + ∠LMO = 180
70 + 60 + ∠LMO = 180
∠LMO = 180 - 70 - 60 = 50
Therefore the correct answer is option C which is the angle LMO is 50°
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urgent help algebra 2
Write the inequality shown by the shaded region in the graph with the boundary line y=−4x+1.
Answer:
5 is the answer
Step-by-step explanation:
because it is
Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear function N(P).
(a) Determine N(P) if N(1000) = 10000 and N(1700) = 6500. (Use symbolic notation and fractions where needed.)
N(P) =?
(b) Select the statement that gives the slope of the graph of N(P), including units and describes what the slope represents.
●5 computers per dollar
● -1/5computers per dollar
● -5 computers per dollar
● -5 dollars per computer
(c) What is the change N in the number of computers sold if the price is increased by AP = 110 dollars? (Give your answer as a whole number.)
AN = ?
Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line?a rise of 6 and a run of 8a rise of 8 and a run of 6a rise of 6 and a run of 5a rise of 5 and a run of 6
Step-by-step explanation:
How would five billion, eighteen million, two hundred sixteen thousand, forty be written in standard form?
A. 5,018,216,004
B. 5,018,210,014
C. 5,018,216,040
D. 5,180,216,040
Answer:
c
Step-by-step explanation:
answer is C . First last digits are forty you will have down 2 answers
Answer:
the answer to the question is C
Consider the following data concerning the demand (y) and price (x) of a consumer product the least squares line is found to be y= 306,619-27.71.x
A) Interpret b1
B) find a point prediction of the demand corresponding to be price 2.10
C) Find %95 confidence interval for b1 and interpret it
The value of B1 shows a fall in demand as price rises by a unit. The point prediction is given as y = 306,560.8
How to solve the question using the interceptThe regression equation shows that y= 306,619-27.71.x
b1 = -27.71
The interpretation for b1 is that if the price of this good is increased by 1, then the demand for the good would fall by about 27.71.
The point prediction for demandThe regression line equation is given as
y= 306,619-27.71.x
when x which is price is = 2.10
Then the value of y would be:
y = 306,619 - 27.71*2.10
y = 306,560.8
c. a 95% C1 for B1 is given as:
1.96 * 27.71.
= 54.31
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A rental car agency charges $230 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $415?
The number of miles you can travel in one week for $415 is
Answer:
740 miles
Step-by-step explanation:
$415-$230=$185
$185÷0.25 per miles =740 miles
How many pounds of candy that sells for $0.82 per lb must be mixed with candy that sells for $1.36 per lb to obtain 9 lb of a mixture that should sell for $0.91 per lb?
7.5 pounds of the $0.82 per lb candy must be used in the mixture.
How many pounds of each candy should we use?First, let's define the variables:
x = pounds of the $0.82 candy used.y = pounds of the $1.36 candy used.We want to make 9 lb of mixture, then:
x + y = 9.
And the price of these 9 pounds must be $0.91, then we can write:
x*$0.82 + y*$1.36 = 9*$0.91 = $8.19
Then we have a system of equations:
x + y = 9.
x*$0.82 + y*$1.36 = $8.19
We can isolate y on the first equation so we get:
y = 9 - x
Now we can replace that on the other equation:
x*$0.82 + (9 - x)*$1.36 = $8.19
And now we can solve this for x.
x*($0.82 - $1.36) = $8.19 - 9*$1.36
-x*$0.54 = -$4.05
x = (4.05/0.54) = 7.5
So 7.5 pounds of the $0.82 per lb candy must be used in the mixture.
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