The sample size suggested by this statement is 664 option second is correct.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
At 99% confidence Z = 2.576
By using the MOE formula:
0.05 = 2.376×√(0.5(0.5)/n)
After calculating
n = 663.57 ≈ 664
Thus, the sample size suggested by this statement is 664 option second is correct.
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g An empty plastic or glass dish being removed from a microwave oven can be cool to the touch, even when food on an adjoining dish is hot. How is this phenom- enon possible?
The plastic and the glass contain no water molecules. Plastic and glass have very different absorption frequencies from water, so they may not absorb any significant microwave energy and remain cool to the touch.
The absorption of electromagnetic radiation by water depends on the state of the water.
The absorption in the gas phase occurs in three regions of the spectrum. Rotational transitions are responsible for absorption in the microwave and far-infrared, vibrational transitions in the mid-infrared and near-infrared. Vibrational bands have rotational fine structure. Electronic transitions occur in the vacuum ultraviolet regions.
It is given that an empty plastic or glass dish being removed from a microwave oven can be cool to the touch, even when food on an adjoining dish is hot.
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Find the sum of a third (a+b) and a fifth of (a-b)
Answer:
(5a+5b+3ab)/15
Step-by-step explanation:
qquy đồng lên thôi !!
is the ray with endpoint . and intersect.
By looking at the diagram, we can see that:
The endpoint of ray DE is D.The rays GA and DF never do intersect.How to identify the endpoint of the ray?
As you can see, the ray DE starts at point D and then passes through E, and then continues.
Then the only endpoint of that ray is D.
How to identify the intersection between the rays?The ray GA starts at point G and goes through A (so it goes to the left of G).
The ray DF starts at point F and goes through F (So it goes to the right of D).
Then these two rays don't intersect, because D is at the right of G.
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The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 3% per hour. Suppose that a sample culture has an initial population of 428 bacteria. Find the predicted population after six hours. Do not round any intermediate computations, and round your answer to the nearest tenth.
The predicted population of bacteria when following a continuous exponential growth model, at a relative rate of 3% per hour, from an initial population of 428 bacteria grows to 512.4 bacteria in 6 hours.
A continuous exponential growth model is used to determine the final value of a quantity (V), from an initial value of the quantity (V₀), at a rate of continuous growth per unit time (r), after the time (t), as:
[tex]V = V_0e^{rt}[/tex].
In the question, we are given that the number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 3% per hour.
We are asked, to find the predicted population after six hours when the initial population was 428 bacteria.
Thus, we take V₀ = 428, r = 3% = 0.03, and t = 6, in the equation:
[tex]V = V_0e^{rt}[/tex] ,
to find the predicted population (V) of bacteria after 6 hours.
Thus,
[tex]V = 428e^{0.03*6}\\\Rightarrow V = 428e^{0.18}\\\Rightarrow V = 428*1.1972173631218\\\Rightarrow V = 512.40903141613\\\Rightarrow V = 512.4[/tex]
Rounding to the nearest tenth.
Thus, the predicted population of bacteria when following a continuous exponential growth model, at a relative rate of 3% per hour, from an initial population of 428 bacteria grows to 512.4 bacteria in 6 hours.
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I need help I’ll give branliest
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
we know the thickness is x, so the sides are 3+2x and 4+2x
then we use foil:
(3+2x)(4+2x)=12+6x+8x+4x^2=4x^2+14x+12
we know the area is 15
4x^2+14x+12=15
4x^2+14x-3=0
So it is B
Which quadratic equation is equivalent to (x-4)² – (x − 4) − 6 = 0?
A)O (u-4)2-(u-4)-6=0
where u = (x-4)
B)Ou²-(u-4)-6=0
where u = (x-4)
C)Ou²-16-u-6=0 where u = (x-4)
D)Ou²-u-6=0 where u = (x-4)
The quadratic equation u² - u - 6 = 0 where u = (x -4) is equivalent to (x-4)² – (x − 4) − 6 = 0 option (D) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
(x-4)² – (x − 4) − 6 = 0
Let (x - 4) = u
u² - u - 6 = 0
Thus, the quadratic equation u² - u - 6 = 0 where u = (x -4) is equivalent to (x-4)² – (x − 4) − 6 = 0 option (D) is correct.
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Answer:Option D on edge 2022
Step-by-step explanation:
which of the following statements are true
Answer: B , c, E
Step-by-step explanation:
Given that ,
∡J=90° , ∡k=30° , ∡L=60°
In the triangle ΔJKL,
tan ∠L = tan 60°
⇒ JK÷JL= √3
⇒JK = √3JL
Thus, A is incorrect and B is correct
Again,
cos ∠L = cos60° =0.5
⇒JL/KL = 1÷2
⇒ JL = (1÷2)KL
⇒JL×2= KL
⇒ KL=2JL
Hence, F & D are incorrect and C is correct
Earlier we got,
JK = √3.JL
⇒JL=JK÷√3
and JL= (1÷2).KL
So, JK÷√3=(1÷2)KL
⇒JK÷√3×2 = KL
⇒2.JK= √3KL
⇒JK = (√3÷2).KL
hence E is correct
Which statement completes this proof
The answer to this question is A
Surds question pls help me out! Ty!
Step-by-step explanation:
Question 46.
[tex](2\sqrt{5}-\sqrt{2} )^2=(2\sqrt{5})^2-2*2\sqrt{5}*\sqrt{2} +(\sqrt{2})^2 } =4*5-4*\sqrt{2*5} +2=\\=20-4\sqrt{10}+2=22-4\sqrt{10}.[/tex]
Answer: E. None of these.
Question 47.
[tex]\frac{4\sqrt{5} }{\sqrt{3} } =\frac{4*\sqrt{5}*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{4*\sqrt{5*3} }{3}=\frac{4\sqrt{15} }{3} .[/tex]
Answer: E. None of these.
Answer:
45) E 47) E
Step-by-step explanation:
45)
Remember the formula [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](2\sqrt5-\sqrt2)^2=(2\sqrt5)^2-2(2\sqrt5\times\sqrt2)+(\sqrt2)^2\\\\=20-2(2\sqrt{10})+4\\\\=24-4\sqrt{10}[/tex]
Hence E. None of these.
47)
[tex]\frac{4\sqrt{5}}{\sqrt3}=\frac{4\sqrt5\times\sqrt3}{\sqrt3\times\sqrt3}\\\\=\frac{4\sqrt15}{3}[/tex]
Hence E. None of these.
Have a nice day, also please mark brainliest thanks :)
Use the Law of Cosines to solve for the largest angle in the triangle with the given measures. Round answers to the nearest tenths.
A=22m b=24m c=26 m
Answer:
Angle C = 68.7°
Step-by-step explanation:
The largest angle es angle C ([tex]\beta[/tex])
[tex]26^{2} =22^{2} +24^{2} -2(22)(24)cos\beta[/tex]
[tex]676=484+576-1056cos\beta[/tex]
[tex]676-1060=-1056cos\beta[/tex]
[tex]\frac{-384}{-1056} =cos\beta[/tex]
[tex]\beta =cos^{-1} (\frac{-384}{-1056} )=cos^{-1} (.36363)=68.676=68.7^{o}[/tex]
Given the points (2,k) and (0,−6), for which values of k would the distance between the points be 5–√ ?
The value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The question is:
Given the points (2,k) and (0,−6), for which values of k would the distance between the points be √5
[tex]\rm \sqrt{5}=\sqrt{(0-2)^2+(-6-k)^2}[/tex]
5 = 4 + (6 + k)²
After solving:
[tex]\rm 4+\left(6+k\right)^2-4=5-4[/tex]
(6 + k)² = 1
k = -5 or -7
Thus, the value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
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The Big O notation of the composite function 5N^3 O(N^2) is _____. a. O(5N^3) b. O(N^3 N^2) c. O(N^3) d. O(N^5)
The Big O notation of the composite function 5N^3 O(N^2) is c. O(N^3).
A composite function of two capabilities combines the given two functions inside the given order. i.e., for any given functions f(x) and g(x), there may be four composite functions: f(g(x)) that is substituting g(x) into f(x) g(f(x)) that's substituting f(x) into g(x).
A composite characteristic is a function that relies upon any other feature. A composite characteristic is created while one characteristic is substituted for another feature. For instance, f(g(x)) is the composite function that is fashioned whilst g(x) is substituted for x in f(x). f(g(x)) is studied as “f of g of x”.
In Maths, the composition of a character is an operation wherein two capabilities say f and g generate a brand new feature say h in one of these manners that h(x) = g(f(x)). It method right here feature g is implemented to the function of x. So, basically, a feature is carried out to the result of every other feature.
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What is equivalent to ^2x^8x^4
Answer:
Step-by-step explanation:
2x squared, denoted (2x)2, is equal to 4x2. In general, we can raise a product to a power using the following product rule for exponents: (ab)n = an
Given: f(x)= x² + 3x-4 and g(x) = x-4
Answer:
x-intercept of f(x)=x²+3x-4 is (1,0) &(-4,0)
x-intercept of g(x)=x-4 is (4,0)
y-intercept of f(x)=x²+3x-4 is (0,-4)
y-intercept of g(x)=x-4 is (0,-4)
Step-by-step explanation:
[tex]f(x) = x {}^{2} + 3x - 4 \\ to \: find \: x \: intercept \: subistitute \: f(x) = 0 \\ 0 = x {}^{2} - 3x - 10 \\ x { }^{2} - 3x - 1 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5 \\ the \:equation \: x \: intercept \: are \: - 2and \: 5 \\ f(0) = 0 {}^{2} + 3(0) - 4 \\ - 4 \: is \: y \: intercept \: of \: f(x) = x {}^{2} + 3x - 4 \\ where \: as \: for \: g(x) = x - 4 \\ to \: find \: x \: intercept \: f(x) = 0 \\ 0 = x - 4 \\ - x = - 4 \\ x = 4 \\ 4is \: the \: x \: intercept \: and \: for \: the \: y \: intercept \\ g(0) = 0 - 4 \\ y = - 4is \: the \: y \: intercept.[/tex]
Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chips are $2 per pound and pecans are $5 per pound. Which of the following graphs correctly represents the scenario?
The inequality that correctly represents this scenario is given as follows:
[tex]2x + 5y \leq 25[/tex]
The graph is given at the end of the question.
What is a system of inequalities?A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: number of chocolate chips purchased.Variable y: number of pecans sold.Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:
[tex]2x + 5y \leq 25[/tex]
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What is the surface area of the right cylinder below?
Answer:
cant say you dont show
Step-by-step explanation:
id love to help but like send a picture next time
M= 2²×3×5² N=2³×3²×7
find the largest Number that divides exactly into M and N
Answer:
12
Step-by-step explanation:
just find the HCF, which will be
2² × 3 = 12
My son graduated and we no longer need this service. however, since we have not used it in a couple years we forgot names/passwords. how do we cancel and stop being charged? thanks eamonn burgraff
Answer:
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a truck holds boards that are 9 pounds each and boards that are 15 pounds each. There are 24 more of the lighter boards than the heavier boards. The total weight of the boards is 408 pounds. Model this problem using an equation and solve to find how many of each type of board is on the truck
The number of lighter boards and heavier boards in the truck is 216 and 192 boards respectively.
EquationLight board = 9 poundsHeavy board = 15 poundsTotal weight = 408 poundslet
Light board = x
Heavy board = y
x = y + 24
x + y = 408
(y + 24) + y = 408
y + 24 + y = 408
2y = 408 - 24
2y = 384
y = 384 / 2
y = 192 boards
So,
x = y + 24
= 192 + 24
x = 216 boards
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The weight of a piece of raw silk that is 100 yards long by 1.25 yards wide (standard width) is about 38 pounds. The weight of an equal amount of habutai silk is about 12 pounds. If katharine bought pieces of raw silk and habutai silk that were both 12.5 yards long, how much would they weigh together show your work pls
The total weight of the two pieces together is 6 pounds.
How much would the two pieces weigh together?A piece of raw silk that is 100 yards long by 1.25 yards wide weights 38lb.
Then, a piece that is 12.5 yards long (and still 1.25 yards wide) will weight:
M = (12.5/100)*38lb = 4.75 lb
And a piece of habotai silk that is 100 yards long by 1.25 yards wide weights 12lb.
Then, a piece that is 12.5 yards long will weigh:
M' = (12.5/100)*12lb = 1.5 lb
If we add these two, we get a total weight of:
M + M' = 4.5lb + 1.5lb = 6lb
The total weight of the two pieces together is 6 pounds.
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The table shows three unique functions.
f(x) g(x) h(x)
4
6
3
x
-2
-1
1
2
12126
4-
5
9
HINHIN
1
2
1
7:
8
=2
F
L
11212
Which statements can be used to compare the
characteristics of the functions? Select two options.
f(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
h(x) has a range of all negative numbers.
All three functions share the same domain.
The true statements about the functions are:
g(x) has the maximum greatest value.h(x) has a range of all negative numbers.How to determine the true statements?The complete question is in the attached image
From the image, we have:
g(x) has the greatest maximum value of 7 1/2All the values of h(x) are negativeAll the values of f(x) are positiveThis means that the true statements about the functions are g(x) has the maximum greatest value and h(x) has a range of all negative numbers.
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Please help, i have been doing this for a while and it is still wrong.
Eric is standing on horizontal ground. His height is 1.65 m. His shadow is 1.30 m long. At this moment, what is the acute angle between the sunlight and the ground in the unit of degrees?
At this moment, what is the acute angle between the sunlight and the vertical direction in the unit of degrees?
Answer:
51.7661748226 degrees; 38.2338251774 degrees
Step-by-step explanation:
First, draw a diagram to illustrate this situation. Looking at angle A, Eric's height, 1.65 m, corresponds to OPPOSITE, and Eric's shadow, 1.30 m, corresponds to ADJACENT. Using SOH CAH TOA, the equation is:
tan(A) = 1.65/1.30
A = arctan(1.65/1.30)
A = 51.7661748226 deg
Looking at angle B, 1.65 m is ADJACENT and 1.30 m is OPPOSITE. Therefore, the equation is:
tan(B) = 1.30/1.65
B = arctan(1.30/1.65)
B = 38.2338251774 deg
Ayudarás por favoorrrrrrrt
Answer:
75 / 192
Step-by-step explanation:
When it comes to multiplying fractions, you just multiply them straightforward. Multiply the numerator with the numerator, and the denominator with the denominator
Find the coordinates to the vertices of the figure after the given transformation. T<1,0>
Answer:
(1,0)
Step-by-step explanation:
I'm just gonna say that the point you want to be transformed is the origin. It will be moved to (1,0)
jack needs 22 crew members for every 2 ships he manages complete the table
Answer: 2 55 121
22 5 11
Step-by-step explanation:
Which of the following define the same Arithmetic Sequence using a Recursive Formula
and an Explicit Formula?
O a₁ = -23, an = an-1 + 12
and an-23 +12(n-1)
O a₁ = -100, an = an-1 + 1
and an 100-1(n-1)
=
O a₁ = -41, an = an-1 + 12
and an 12-41(n-1)
O a₁ = 50, anan-1-4
and an 50+ 4(n-1)
The choice which defines same arithmatic sequence using a Recursive Formula and an Explicit formula is (A) which is [tex]a_1= -23, a_n = a_{n-1}+ 12,a_n=-23 +12(n-1)[/tex]
If first term of a arithmatic sequence is a₁ and the common difference is d then,
By Explicit Formula, the n-th term of the sequence is given by,
[tex]a_n=a_1+(n-1)d[/tex]
By Recursive Formula,
[tex]a_n=a_{n - 1}+d[/tex]
In the first choice: a₁ = -23 and
[tex]a_n=a_{n-1}+12[/tex]
Then by recursive formula, it suggests arithmatic sequence with first term -23 and common difference 12.
and
[tex]a_n=-23+12(n-1)[/tex]
So by explicit formula it also suggests arithmatic sequence with first term -23 and common difference 12.
So it is one correct choice.
In second choice: a₁ = -100 and
[tex]a_n=a_{n-1}+1[/tex]
By recursive formula, it suggests arithmatic sequence with first term -100 and common difference 1.
[tex]a_n=100-1(n-1)[/tex]
By explicit formula, it suggests arithmatic sequence with first term 100 and common difference -1.
So it is not the correct choice.
In third choice: a₁ = -41 and
[tex]a_n=a_{n-1}+12[/tex]
By recursive formula, it suggests arithmatic sequence with first term -41 and common difference 12.
[tex]a_n=12-41(n-1)[/tex]
By explicit formula, it suggests arithmatic sequence with first term 12 and common difference -41.
So it is not the correct choice.
In fourth choice: a₁ = 50 and
[tex]a_n=a_{n-1}-4[/tex]
By recursive formula, it suggests arithmatic sequence with first term 50 and common difference -4.
[tex]a_n=50+4(n-1)[/tex]
By explicit formula, it suggests arithmatic sequence with first term 50 and common difference 4.
So it is not the correct choice.
Hence the option (A), the first choice is correct.
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Evaluate the following expressions by substituting s = 10 and t = 2.
3t2s
110
120
100
130
Answer:
b. 120
Step-by-step explanation:
3t2s
3(2)2(10)
6(20)
120
Answer:
Hello! The answer is 120.
Step-by-step explanation:
s = 10 and t = 2
Substitute:
(3)(2)(2)(10)
3 × 2 = 6
2 × 10 = 20
6 × 20 = 120
A card is drawn at random from a standard 52-card deck. What is the probability that it is an odd number (3,5,7,9) or a $\spadesuit$ (or both)
The probability that the randomly drawn card is an odd number (3, 5, 7, 9) or of spade suit is 25/52.
In the question, we are informed that a card is drawn at random from a standard 52-card deck.
We are asked the probability that the randomly drawn card is an odd number (3, 5, 7, 9) or of spade suit.
We assume the event of drawing an odd card from the random pick to be A, and the event of drawing a card of spade suit to be B.
The number of outcomes favorable to event A = 16 {4 odd cards of each of the 4 suits, that is, 4*4 = 16}.
The total number of possible outcomes = 52 {The number of cards in the deck}.
Therefore, the probability of event A, P(A) = 16/52.
The number of outcomes favorable to event B = 13 {The 13 cards of spade suit}.
The total number of possible outcomes = 52 {The number of cards in the deck}.
Therefore, the probability of event B, P(B) = 13/52.
The number of outcomes favorable to events A and B both = 4 {4 odd cards of the spade suit}.
The total number of possible outcomes = 52 {The number of cards in the deck}.
Therefore, the probability of events A and B both, P(A ∩ B) = 4/52.
The probability that the randomly drawn card is an odd number or of spade suit is represented by P(A ∪ B), which is calculated by the formula:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 16/52 + 13/52 - 4/52 = 25/52.
Hence, the probability that the randomly drawn card is an odd number (3, 5, 7, 9) or of spade suit is 25/52.
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HELP PLEASE
Given: a = 3, b = 4,
and c = 6. What is the measure of angle A to the
nearest tenth?
Answer:
26.4
Step-by-step explanation:
Law Of Cosines:
[tex]cos(A)=\frac{b^2+c^2-a^2}{2bc}[/tex]
This should work for any side. This can generally be thought as:
[tex]cos(\text{angle}) = \frac{\text{sum of squares of two other sides-opposite side squared}}{\text{2 times the product of the other two sides}}[/tex]
If this is too confusing here's the formula for the other sides (which is essentially the same, just different variables)
[tex]cos(B)=\frac{a^2+c^2-b^2}{2ac}[/tex]
[tex]cos(C) =\frac{a^2+b^2-c^2}{2ab}[/tex]
Anyways now just plug in the known values into the equation
[tex]cos(A)=\frac{4^2+6^2-3^2}{2(6)(4)}\\[/tex]
Square and multiply values
[tex]cos(A)=\frac{16+36-9}{48}[/tex]
Add the values in the numerator
[tex]cos(A)=\frac{43}{48}[/tex]
Take the inverse of cosine on both sides
[tex]A=cos^{-1}(\frac{43}{48})[/tex]
calculate arccosine (inverse cosine) using a calculator
[tex]A\approx 26.384[/tex]
Round to nearest tenth
[tex]A\approx26.4[/tex]
If 5 miles is 8 kilometers, which of the following is correct?
Answer:A.47.5 miles is 76
Step-by-step explanation:
in real life its like 76.44, but im rounding