Answer:
second or last
Step-by-step explanation:
Answer: 1/8 < 2/5 < 5/7
Step-by-step explanation:
write 2^ 100 as a power with the following base of 16 brianly.
Pls answer quickly
Answer:
16^25
Step-by-step explanation:
The applicable relation is ...
(a^b)^c = a^(bc)
2^100 = 16^x = (2^4)^x = 2^(4x)
Equating exponents, we have ...
100 = 4x
25 = x
Then 2^100 = 16^25.
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained the wishes the estimate to be within three percentage points
with 90% confidence, assuming that
(a) he uses the estimates of 21.3% male and 19.5% female from a previous year?
(b) he does not use any prior estimates?
(a)n (Round up to the nearest whole number)
(b) (Round up to the nearest whole number.)
Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
A similar problem is given at https://brainly.com/question/25694087
Mr. Reyes baked 4 batches of muffins for his class each batch had 12 muffins. if Mr. Reyes Has 24 students, How many muffins will each student receive?
Answer:2 muffins
Step-by-step explanation: First you have to see how many muffins he baked. 12x4 = 48 thus giving us the amount of muffins he baked. 48 muffins. If each student gets the same amount of muffins 48/24 = 2.
So each person would get 2 muffins.
Hope this helps :)
damon swam 0.68 km in the pool for each day for 2 weeks how many meters did damon swim in those 2 weeks
Answer:
10,080,000 (because 720×14, the total number of days he swam in two
Step-by-step explanation:
)Of the people in the theater, 5% have seen the movie before. If there are 8 people who have seen the movie before, how many people are in the theater?
Answer: 160
Step-by-step explanation: 5% of x = 8
In other words, x * 0.05 = 8. To find what x is, we need to work backwards.
x * 0.05 = 8
x = 8/0.05
x = 160
Would appreciate a brainly <3
If x = 36 and y = 40 and “x varies directly as y”, then find “x” when y = 80.
Answer:
x= it will be 76
Complete the Statement
triangle JKL is congruent to triangle TRS
Lucas invests $2000 per year in his retirement account for 40 years in an investment with an average annual return of 10%. Approximately how much will he have after 40 years?
A.$88,000
B.$176,000
C.$312,000
D.$975,000
The amount Lucas would have in his account is $885,000.
The formula that would be used to determine the amount of money Lucas would be in 40 years is:
The formula for calculating future value = A x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
A = amount invested each year = $2000r = interest rate = 10%n = number of years = 40 years$2000 x [(1.1^40 - 1) / 0.1] = $885,000
To learn more about future value, please check: https://brainly.com/question/14640433
Are the following polynomial sets open or closed?
6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8)
7. (2 - x)(1 + 3x)
8. (5b - 3c)(7b - 3c)
Answer:
All closed.
Addition, subtraction as well as multiplication of polynomials result into another polynomial. Therefore, the set of polynomials is closed under addition, subtraction and multiplication.
Open polynomial set is (x² + x - 4) - (x² + x + 8)
Closed polynomial sets are (2 - x)(1 + 3x) and (5b - 3c)(7b - 3c)
What is polynomial?A polynomial is an expression consisting of variables and their coefficients, operations of addition, subtraction, multiplication, and positive-integer powers of variables are involved in polynomial. If the result of a polynomial set applying different operations is polynomial then it is closed under that operation.
Given, polynomial sets
(x² + x - 4) - (x² + x + 8)
Applying subtraction operation
x² + x - 4 - x² - x - 8
Subtracting like terms
-12
The result is integer, it is open polynomial set
(2 - x)(1 + 3x)
Applying multiplication operation
2 - x - x - 3x²
= 2 - 2x - 3x²
The result is polynomial, it is closed polynomial set
(5b - 3c)(7b - 3c)
Applying multiplication operation
35b² - 15bc - 21bc + 9c²
= 35b² - 36bc + 9c²
The result is polynomial, it is closed polynomial set
Hence, (x² + x - 4) - (x² + x + 8) is an open polynomial set
(2 - x)(1 + 3x) and (5b - 3c)(7b - 3c) are closed polynomial sets.
Learn more about polynomials here:
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Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) 4
Answer:
Step-by-step explanation:
would be nice to have a look at the options.
Here's a few I could come up with
44
32 + 12
8(4) + 3(4)
11(4)
Hi, I got 8 points off on this problem, can you help me figure out what I did wrong?
Answer:
Possible errors: Triangle classification and definition.
Step-by-step explanation:
An isoceles triangle has at least two congruent sides of the same length.
Given the triangle that has two equal angles, and that you'll have to prove that the triangle also has two equal sides.
Using the Converse of Isoceles Triangle Theorem, where it states that if a triangle has two congruent angles < PQR ≅ < PRQ, for which opposite sides of those angles are congruent:
The opposite side of <PQR is line PR.The opposite side of <PRQ is line PQ.Additionally, connecting point P to point X along the line QR such that PX ⊥ QR, divides △PQR into two symmetrical sections, where points Q and R are equidistant from point X.
Answer:
Possible errors: Triangle classification and definition.
6/11 = q/3
Pls help me!
Can anyone answer this?
Answer:
∠AMB = 103°
Step-by-step explanation:
The sum of angles in ∆AMB is ...
(∠A)/2 +(∠B)/2 + ∠AMB = 180°
∠AMB = 180° -(∠A +∠B)/2 = 180° -(58° +96°)/2
∠AMB = 103°
help help help help!
Answer:
Is a give number 4 5 is a reflexive property
The table shows information about some children.
Age 11
Age 12
Total
Girls
7
a
b
Boys
с
5
8
Total
d
9
e
A pupil is selected at random.
What is the probability of selecting a boy?
Give your answer in its simplest form.
I wrote this on a document in my previous years in school.
PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .
yooo, i need help with this...
solve the following stystem -4x + 2y = 0 and x + y = -1
Rewrite without parentheses and simplify.
(check my page and answer my other questions if u can please it would mean alot)
Answer:
x² +14x +49
Step-by-step explanation:
Use the distributive property and collect terms.
(x +7)² = (x +7)(x +7)
= x(x +7) +7(x +7)
= x² +7x +7x +49
= x² +14x +49
it is the onion of set of whole numbers and the opposition of the set counting or natural numbers A. integers B. inverse C. Positive D. Negative
integers is your answer
Which line has a constant of proportionality between y and x of 4/3
Answer:
Line A: constant of proportionality is 4/3
Step-by-step explanation:
The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line. The only line here that has a slope greater than 1 is the blue line (A).
Translate triangle ABC using the vector ( 6, - 2).
Answer:
Move each vertex 6 to the right, and 2 to the bottom, rest of the triangle will come automatically. It should look similar to the one I drew.
After translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given vector is (6, -2).
From the given triangle vertices are (-6, 1), (1, 1) and (0, -4)
From the given vector, it shows 6 units right shift and 2 unit down shift.
Here, vertices of image are
(-6, 1)→(-6+6, 1-(-2))→(0, 3)
(1, 1)→(1+6, 1-(-2))→(7, 3)
(0, -4)→(0+6, -4-(-2))→(6, -2)
Hence, after translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).
To learn more about the translation visit:
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What is the slope of the line between the points ( 2 , 7 ) and ( 7 , 1 )?
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )
m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]
Hello there! :)
To find the slope of the line when we are given 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]
So the slope is -6/5. Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
The initial population of a town is 3800, and it grows with a doubling time of 10 years. What will the population be in 8 years?
Please show step by step!
Answer:
The population was 3040 people in 8 years.
Step-by-step explanation:
find unit rate;
3800/10 = 380
380 x 8 = 3040
How do you round 245.456456 to the nearest hundredth?
Answer: 245.46
Step-by-step explanation:
Hundredth is the 2nd number after the decimal so in this, it would be 245.456456. I'd assume you already know how to round.
Solve for B -(12 x 2) x (-6) = -12 x (2 x b)
A. -6
B. 6
C. -12
D. 12
Answer:
Option A
Step-by-step explanation:
-(12 x 2) x (-6) = -12 x (2 x b)
=> -24 x -6 = -12 x 2b
=> 144 = -24b
=> b = -6
Hoped this helped.
Solve by elimination Solve by elimination or substitution: 4x + 2y = 6 and x - 3y = 5
Step-by-step explanation:
since we need to multiply only one equation with something, elimination might be a good method here. we bring both equations to 4x terms and then subtract the second from the first equation :
4x + 2y = 6
- 4x - 12y = 20
-----------------------
0 14y = -14
y = -1
=> e.g. in the second original equation
x - 3×-1 = 5
x + 3 = 5
x = 2
in a supermarket, credit card purchases have an additional charge of 8% of the purchase made. If I bought 2 suitcases that cost s / .165.60 each and paid with a credit card, how much do I have to pay?
9514 1404 393
Answer:
357.70
Step-by-step explanation:
The final cost will be ...
(number of suitcases) × (cost per suitcase) × (1 +8%)
= 2(165.60)(1.08) = 357.70
Help me please ………..
Answer:
Step-by-step explanation:
Answer:
<QSR = 55°(180°-125°)
Step-by-step explanation:
therefore, p-8=55°
p=(55+8)° = 63°.
hope this helps you.
Please answer number 8
Answer:
d q knows
Step-by-step explanation:
sory need points
Find the equation of the line passing through the points 7,2 and 9,1
9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
Alternative solution
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
