Answer:
B
Step-by-step explanation:
The recommended sample size n for point estimates is:
n = NX / (N + X - 1)
where N is the population size, and X is defined as:
X = Z² p (1 - p) / E²
where Z is the critical value, p is the sample proportion, and E is the margin of error.
Assume a confidence level of level of 95% and a margin of error of 5%.
α = 0.05, Z(α/2) = 1.96
E = 0.05
Of the 40 units tested, 2 had lifespans less than 26 days. So the proportion is:
p = 2/40 = 0.05
Therefore:
X = (1.96)² (0.05) (1 - 0.05) / (0.05)²
X = 73
Given N = 2000:
n = (2000) (73) / (2000 + 73 - 1)
n = 70.45
Rounding, the recommended sample size is 70.
Answer:
B
Step-by-step explanation:
Please answer now!! (Math)
Answer:
2nd option
Step-by-step explanation:
Simplify first what is in the parenthesis before distributing the exponent outside would help.
Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.
Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.
Look at the attached picture for the solution
Answer:
[tex] \frac { 1 } { x ^ 2 1 y ^ { 1 2 } }[/tex]
Step-by-step explanation:
We are given the following expression and we are to simplify it:
[tex] [ \frac { ( x ^ { - 3 } ) ( y ^ 2 ) } { ( x ^ 4 ) ( y ^ 6 ) } ] ^ 3[/tex]
[tex]\frac{x^{-3\times 3}.y^{2\times 3}}{x^{4\times 3}.y^{6\times3} }[/tex]
[tex]\frac{x^{-9}y^6}{x^{12}y^{18}}[/tex]
[tex]x^{-9-12}.y^{6-12}[/tex]
[tex]x^-21.y^{-12}[/tex]
This can also be written as:
[tex]\frac{1}{x^21y^{12}}[/tex]
What is -8c+8c-12 when you are simplifying
Answer:
Multiply c and 8
Multiply c and 1
The c just gets copied along.
The answer is c
c
8*c evaluates to 8c
Because of the minus sign
8c becomes - 8c
The answer is -8c
Multiply c and 8
Multiply c and 1
The c just gets copied along.
The answer is c
c
8*c evaluates to 8c
-8*c+8*c evaluates to 0c
-8*c+8*c-12 evaluates to -12
The final answer is
-12
Step-by-step explanation:
Please mark brainliest and have a great day!
Please help
WILL MARK BRAINLYIST
Answer: (4,-5) is the answer
Look at the first image below for the known points...
Since this is a rectangle the missing point must align underneath the point (4, -3). This means that the missing point will need to have an x value of 4
The missing point must also align to the right to the point (-2, -5). This means that the missing point will need to have a y value of -5
This makes the missing point...
(4, -5)
Hope this helped!
~Just a girl in love with Shawn Mendes
Find g(1) if g(x) = x2 +1.
A.2
B.3
C.4
لا
Answer:
A
Step-by-step explanation:
To evaluate g(1) substitute x = 1 into g(x), that is
g(1) = 1² + 1 = 1 + 1 = 2 → A
2y + 3x = 24 into slope intercept form with steps asap
Answer:
y=-3/2 x +12
Step-by-step explanation:
Solve for y.
2y+3x=24
We want 2y by itself so I will subtract 3x on both sides giving:
2y=-3x+24
Now I will divide both sides by 2 giving:
y=-3/2 x+24/2
Simplifying this gives:
y=-3/2 x+12
The slope is -3/2
The y-intercept is 12
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y + 3x = 24 into this form
Subtract 3x from both sides
2y = - 3x + 24 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + 12 ← in slope- intercept form
For which rational expression is -2 an excluded value of x?
Answer:
The first choice, [tex]\frac{x-3}{x^{2}-4 }[/tex]
Step-by-step explanation:
Excluded value means that the value of x will make the denominator 0.
(-2)² - 4 = ?
4 - 4 = 0.
Therefore, it's the first choice– [tex]\frac{x-3}{x^{2}-4 }[/tex]
Answer:
[tex]x^2-3/x^2-4[/tex]
Step-by-step explanation:
An excluded value of x for any rational function or expression is when you have any value of x that makes the value of the function undefined. Thus, these values must be excluded from the domain of the function.
in order to know if a value is an excluded value you have to calculate it in the expression:
x=-2
[tex]x^2-3/x^2-4[/tex]=[tex](-2)^2-3/(-2)^2-4[/tex]=[tex]4-3/4-4[/tex]= function undefined (because denominator 0 is undefined)
[tex]x-3/x^2+4[/tex]=[tex]-2-3/(-2)^2+4[/tex]=[tex]-5/8[/tex]=function defined
[tex]x^2-4/x-3[/tex]=[tex](-2)^2-4/-2-3[/tex]=[tex]0[/tex]=function defined
[tex]x^2+4/x-3[/tex]=[tex](-2)^2+4/-2-3[/tex]=[tex]8/-5[/tex]=function defined
The regular admission price...
Answer:
Total Cost = 14.50
Step-by-step explanation:
We have to assume that the third child pays a regular fee to get in.
2 adults = 2 * $4.50 = $9.00
2 children = 2*$2.75/2= $2.75
1 more child=1*$2.75 = $2.75
Total $14.50
The 2 children 1/2 price is rather tricky. You could firgure out what 1/2 price is and then just double it, but that is rather long. And it will come to what I have. So let's try it
1/2 of 2.75 = 1.375
2 * 1.375 = 2.75
It is just as easy to show it rather than doing it.
Solve for m.
4m2n=49
m=±7n√2n
m=±7n√2n
m=±7n√2
m=±7n√2
Answer:
[tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
Step-by-step explanation:
We have the following expression: [tex]4m^{2}n = 49[/tex] and we need to solve it for 'm'. Above the steps:
[tex]4m^{2}n = 49[/tex] ⇒ [tex]m^{2} = \frac{49}{4n}[/tex]
Taking the square rooth of both sides:
[tex]m = \sqrt{\frac{49}{4n}}[/tex] ⇒ [tex]m = \frac{7}{2\sqrt{n}}[/tex]
⇒ [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
Then, the result is: [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
The bedroom is 17 feet long by 18 feet wide, and the ceiling is 9 feet high.
The inside of the bedroom door will be painted the same color as the walls. Two coats of paint will be applied to all of the painted surfaces.
The room has one window, measuring 3 feet, 9 inches by 4 feet, which will not be painted.
List the facts that you know. First, find the room dimensions in feet that make a good model for this situation. One strategy would be to sketch the room as follows. Please use this model to complete the following table below.
Answer: 615 ft²
Step-by-step explanation:
There are 4 walls - assume that the floor and ceiling are not being painted.
2 walls are 17 ft by 9 ft ⇒ 2(17)(9) = 306 ft²
The other 2 walls are 18 ft by 9 ft ⇒ 2(18)(9) = 324 ft²
1 window is 3.75 ft by 4 ft ⇒ 1(3.75)(4) = 15 ft²
2 walls + other 2 walls - 1 window ⇒ 306 + 324 - 15 = 615 ft²
Answer:
The total area that must be paintedis 615ft^2
Step-by-step explanation:
Here we need to calculate the total surface of the room that will be painted, this would be:
The 4 inner walls.
Minus the area of the window, that will not be painted.
I also assume that the floor and the ceiling will not be painted.
the dimensions of the room are:
17 feet long.
18 feet wide.
9 feet high.
So we will have:
two walls of 17 feet by 9 feet.
two walls of 18 feet by 9 feet.
Then the total surface of the walls is:
S = 2*(17ft*9ft) + 2*(18ft*9ft) = 630 ft^2
And the window is 3 feet 9 inches bt 4 feet.
first, we have that 1 feet = 12 inches.
then 9 inches is equivalent to:
9/12 feet = 0.75 feet.
So the area of the window is:
W = 3.75ft*4ft = 15ft^2
the difference is:
A = 630ft^2 - 15ft^2 = 615ft^2
What is the area of the irregular polygon shown below?
Answer:
D. 49 sq. units
Step-by-step explanation:
Find the area of the triangle up top first then multiply it by 4 to get the area of the rhombus up top:
4 x 3 = 12
12/2 = 6
6 x 4 = 24
now solve the lower square:
5 x 5 = 25
now add the two together:
25 + 24 = 49
Answer:
Correct option is:
D. 49 sq. units
Step-by-step explanation:
The irregular polygon shown is the combination of rhombus and square
The lower part of the polygon is square with side 5 units
and the upper part of the polygon with rhombus with diagonal (4+4)=8 and (3+3)=6 units
Area of irregular polygon=Area of square+Area of rhombus
= side²+Product of diagonals/2
= 5²+(8×6)/2 sq. units
= (25+24) sq. units
= 49 sq. units
Hence, Correct option is:
D. 49 sq. units
Find the value of Z.
A)7
B)9
C)11
D)12
[tex]2z-15=9\\2z=24\\z=12[/tex]
You deposit $3000 in an account earning 8% interest compounded monthly. How much will you have in the account in 10 years?
Answer:
You will have approximately
4 , 049.58 in your account in 10 years
Step-by-step explanation:
To calculate the future value of $3000 deposited in an account with an 8% annual interest rate compounded monthly over 10 years, use the compound interest formula [tex]A = P(1 + r/n)^{(nt)}[/tex], resulting in approximately $6,658.93.
You want to find out how much money you will have in an account after 10 years when you deposit $3000 with an annual interest rate of 8% compounded monthly. To solve this, you can use the compound interest formula:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the time the money is invested or borrowed for, in years
Given the data:
P = $3000
r = 0.08 (since 8% = 0.08 when converted to a decimal)
n = 12 (monthly compounding)
t = 10 years
You can now calculate:
A = 3000(1 + 0.08/12)¹²⁰
Then:
A ≈ 3000(1 + 0.0066667)¹²⁰
A ≈ 3000(1.0066667)¹²⁰
A ≈ 3000(2.21964)
A ≈ $6,658.93
The function y = 50x describes the distance Gary has traveled in miles after x hours. Use the graph to estimate how many miles Gary will travel in 8 hours.
We know that the equation is y = 50x and that x is the hours, since we need to know how many miles Gary will travel in 8 hrs plug 8 in for x and solve.
y = 50*8
y = 400
In 8 hrs Gary will travel 400 mi
Hope this helped!
~Just a girl in love with Shawn Mendes
The price of a share of one stock fell from $8.75 to $8.54. Find the percent decrease. Round your answer to the nearest tenth of a percent.
8.54 / 8.75 =0.975
1 - 0.975 = 0.025
0.025 x 100% ( and nearest thenth)
=2.5%
Answer:
2.4%.
Step-by-step explanation:
Consider the formula for percentage change (Mathisfun)
[tex]\displaystyle \rm \text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\times 100\%[/tex].
Note that the old value shall be the one on the denominator.
For this question:
[tex]\displaystyle \rm \begin{aligned}\text{Percentage Change} &= \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\times 100\%\\ &= \frac{8.75 - 8.54}{8.75}\times 100\%\\&= -2.4\%\end{aligned}[/tex].
The value here is negative, but don't be alerted. A positive value of change indicates an increase, while a negative value of change indicates a decrease. In other words, the stock price dropped by 2.4%.
Which of the sequences is an arithmetic sequence?
O A. -3, -10,-17, -24, -31,...
O B. 1, -2,3,-4,5,
O C. 3,6,9,15, 24,
O D. 1, 8, 16, 24, 32,
Answer:
A
Step-by-step explanation:
there is a constant pattern from one term to another
add -7 to get to the next term
sequences A is an arithmetic sequence.
The answer is option A. -3, -10,-17, -24, -31.
What is an arithmetic sequence?
An arithmetic sequence is a chain wherein every time period will increase via including/subtracting some constant. It is in the evaluation of a geometric series wherein every term will increase by way of dividing/multiplying.
collection decided by a = 4 and d = 5. solution: To find a selected term of a mathematics collection, we use the formulation for finding the nth time period. Step 1: The nth term of a mathematics series is given by way of an = a + (n – 1)d. So, to locate the nth time period, substitute the given values a =4 and d = three into the components.
Learn more about the arithmetic mean here:-https://brainly.com/question/20118982
#SPJ2
Please help, probably easy
Answer:
220 WaysStep-by-step explanation:
Just did it on Acellus. " 220 " is the answer
12/3(12-3)
12/3•9
12•11•10•9 / 3•9 *now you cancel both 9's*
12•11•10 / 3
12•11•10 / 3•2•1
1320/6
220
Solve y = x + 6 for x.
A.x = y + 6
B.x = −y + 6
C.x = y − 6
D.x = −y − 6
Answer:
C) x = y - 6
Step-by-step explanation:
you have to make it in terms of x, or isolate x:
y = x + 6
- 6 from both sides
y - 6 = x + 6 - 6
combine 6 and -6
y - 6 = x
so, x = y - 6
If two angles of a triangle have equal measures and the third angle measures 90°, what are the angle measures of the triangle?
A. 60°, 60°, 60°
B. 45°, 90°, 90°
c. 30°, 30°, 90°
D. 45°, 45°, 90°
the answer is D cuz 45+45=90 and 90+90=180
Answer:
D. [tex]45^{o}[/tex], [tex]45^{o}[/tex], [tex]90^{o}[/tex]
Step-by-step explanation:
Angles of a triangle always add u to [tex]180^{o}[/tex]. If one angle measures [tex]90^{o}[/tex], then the two remaining angles must add up to 180 - 90 = 90.
Since the two angles have equal measures, we can set up an equation:
2a = 90 (where a = angle of one equal measure)
a = 45.
Therefore, the angle measures of the triangle are [tex]45^{o}[/tex], [tex]45^{o}[/tex], [tex]90^{o}[/tex], or answer choice D.
4x + 6y = -5
8x = 12y - 10
Solve the system
Answer:
x = -5/4, y = 0
Step-by-step explanation:
Solve the following system:
{4 x + 6 y = -5 | (equation 1)
{8 x = 12 y - 10 | (equation 2)
Express the system in standard form:
{4 x + 6 y = -5 | (equation 1)
{8 x - 12 y = -10 | (equation 2)
Swap equation 1 with equation 2:
{8 x - 12 y = -10 | (equation 1)
{4 x + 6 y = -5 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{8 x - 12 y = -10 | (equation 1)
{0 x+12 y = 0 | (equation 2)
Divide equation 1 by 2:
{4 x - 6 y = -5 | (equation 1)
{0 x+12 y = 0 | (equation 2)
Divide equation 2 by 12:
{4 x - 6 y = -5 | (equation 1)
{0 x+y = 0 | (equation 2)
Add 6 × (equation 2) to equation 1:
{4 x+0 y = -5 | (equation 1)
{0 x+y = 0 | (equation 2)
Divide equation 1 by 4:
{x+0 y = (-5)/4 | (equation 1)
{0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = -5/4, y = 0
The system of linear equations provided has an infinite number of solutions. This is concluded after subtracting the second equation from twice the first equation, resulting in 0 = 0, which implies the system's equations are equivalent.
Explanation:The system given is a system of linear equations. We can solve it using either substitution or elimination method. However, in this case, the elimination method seems easier as you can simply subtract the second equation from twice the first equation.
Multiply the first equation with 2, we get: 8x + 12y = -10. Subtract the second equation from the resulting equation, we have: 0x = 0, which signifies that the two equations are equivalent. Therefore, there are infinitely many solutions to this system, and any pair (x, y) that makes either of the equations true will also make the other equation true.Learn more about Systems of linear equations here:
https://brainly.com/question/20379472
#SPJ
slope (4, -8), (4, 13)
Answer:
∞ or undefined
Step-by-step explanation:
The slope of a line that passes through two points A(x₁,y₁) and B( x₂,y₂) is found by finding the ratio of the change in y (y₂-y₁) to the change in x (x₂-x₁)
Thus the provided line has a slope of:
(13-⁻8)/(4-4)= 21/0
= ∞
This is a vertically perpendicular line through x=4
What is the range of the function y=square root x+5
Answer:
Range of the given function is [ 5 , ∞ )
Step-by-step explanation:
Given function is [tex]y\:=\:\sqrt{x}+5[/tex]
We need to find Range of the given function.
The Range of function is the set of all possible values of the dependent variable ( here, y ) , after substituting the value of domain.
We know that square root can not have negative value. So, Domain of the given function is all non negative real number.
That is Domain = { x : x ∈ R and x ≥ 0 } = [ 0 , ∞ )
Now for range,
put x = 0 in given function,
[tex]y\:=\:\sqrt{0}+5=5[/tex]
⇒ Minimum value of range is 5
put x = ∞ in given function,
[tex]y\:=\:\sqrt{\infinity}+5=\infinity+5=\infinity[/tex]
⇒ Maximum value of range is ∞
Thus, Range = { y : y ∈ R and y ≥ 5 } = [ 5 , ∞ )
Therefore, Range of the given function is [ 5 , ∞ )
Find the roots of (x+2)(x-7)=0
Answer:
x = -2 or x = 7
Step-by-step explanation:
x - 7 = 0 or x + 2 = 0
x = 7 or x = - 2
Answer:
the roots are x = -2, +7
Step-by-step explanation:
The roots are the values of x that make one of the factors be zero. Whenever a factor is zero, the product is zero.
To make x+2 = 0, x = -2.
To make x-7 = 0, x = 7.
Find the area of the polygon.
Please helppp
Answer:
Step-by-step explanation:
area= base ×altitude
=9×4
=36 square units
Answer:
I Do RSM as well.
Step-by-step explanation:
The answer is going to be the base times the altitude. 9x4=36 sq units
Help please 20 points!!!!
Answer:
21 dollars each
Step-by-step explanation:
35 dollars to mow the lawn
20% tip means he will actually get the 35 dollars and whatever 20% of 35 is...
35+.2(35)
35+7
42
But he is mowing with a buddy, so he is going to split this around between him and his buddy. So 42/2=21.
They will get 21 dollars each.
Please help me!..........
Answer:
$39,000Step-by-step explanation:
Look at the picture.
To find the Median, place the numbers in value order and find the middle number (right picture).
Median = $39,000
Find the value of the power.
4th to 3rd power
Answer: The correct answer is: " 64 " .
_____________________________________________
Step-by-step explanation:
______________________________________________
Assume the problem is meant to ask us to find the value of:
4 raised to the 3rd (third) power ;
______________________________________________
That is: 4^(3) ; or, " 4 ³ " .
______________________________________________
The power of " 3 " tells us to multiply the "base number" ; which is "4" ;
by itself ; "3 (three) times" .
The number, " 3 " ; is the "power" ; or "exponent" ; or "exponential value" — in this expression.
______________________________________________
As such: " 4 ³ = 4 * 4 * 4 = 16 * 4 = 64 " .
______________________________________________
The answer is: " 64 " .
______________________________________________
Hope this answer — and explanation is helpful to you!
WIshing you well in your academic endeavors
— and within the "Brainly" community!
______________________________________________
Type the correct answer in the box. Round your answer to the nearest hundredth. A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is .
the probability is 7/9
The probability that a student is a girl given that they scored an A on the test is 0.54.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We can use Bayes' theorem to find the probability that a randomly chosen girl scored an A on the test.
Let's define the following events:
A = student scored an A on the test
G = student is a girl
We want to find P(A|G), the probability that a randomly chosen girl scored an A on the test.
First, we can use the law of total probability to find the probability that a randomly chosen student scored an A:
P(A) = P(A|B) x P(B) + P(A|G) x P(G)
where B represents the event that a student is a boy.
From the problem statement, we know that 55% of the class are boys and 45% are girls, so:
P(B) = 0.55
P(G) = 0.45
We also know that 25% of the boys and 35% of the girls scored an A on the test, so:
P(A|B) = 0.25
P(A|G) = 0.35
Plugging in these values, we get:
P(A) = (0.25)(0.55) + (0.35)(0.45) = 0.29
Next, we can use Bayes' theorem to find P(A|G):
P(A|G) = P(G|A) x P(A) / P(G)
where P(G|A) is the probability that a student is a girl given that they scored an A on the test. This is what we want to find.
To find P(G|A), we can use the formula:
P(G|A) = P(A|G) x P(G) / P(A)
Plugging in the values we know, we get:
P(G|A) = (0.35)(0.45) / 0.29 = 0.54
Rounding to the nearest hundredth, we get:
P(A|G) ≈ 0.54.
Thus,
The probability that a student is a girl given that they scored an A on the test is 0.54.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ7
need help asap!!! please
Answer:
x = -8
Step-by-step explanation:
g(x) = 8x + 2
given: g(x) = 8x + 2 = -62
8x = -62 -2
8x = -64
x = -8
Find the measure of angle 2.
30°
120°
60°
Without additional context, the measure of angle 2 cannot be specific. However, the three given angles do not comprise a valid triangle. More information is required.
Explanation:To find the measure of angle 2, we need to use the properties of angles formed by parallel lines and a transversal. Angle 2 is an alternate interior angle with angle 5, as they are on opposite sides of the transversal line and between the parallel lines. Therefore, angle 2 is also equal to angle 5, which measures 120°. So the measure of angle 2 is 120°.
The question didn't provide enough context or information to specifically determine the measure of angle 2. However, if we look at the three angles provided – 30°, 120°, and 60° – it's plausible that these angles might comprise a triangle since the sum of all angles in a triangle is 180° (30° + 120° + 60° = 210°, so not a valid triangle). We'd need more information to accurately determine the measure of angle 2.
Learn more about Angle Measurement here:https://brainly.com/question/33833061
#SPJ2
Add -3/x + 7y/x .
please
Answer:
7y - 3 / x
Step-by-step explanation:
So , first you have to Simplify y/x
( 0 - 3/x ) + ( 7 • y/x )
Then simplify 3/x
( 0 - 3/x ) + 7y/x
Then add the fractions which have a common denominator
(Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible)
-3 + 7y/x = 7y - 3/x
you'll get your answer as : 7y-3 / x
Answer:
[tex]\frac{7y-3}{x}[/tex]
Step-by-step explanation:
Since the fractions have a common denominator of x, combine them by adding the numerators and leaving the denominator, that is
[tex]\frac{-3+7y}{x}[/tex] = [tex]\frac{7y-3}{x}[/tex]