Answer:
$20.60
Step-by-step explanation:
You find how much it costs for the total amount of basketballs (10.40×20=208), then you subtract that number from the total cost of everything to get the cost of all the uniforms (620-208=412), then you divide the total costs for all uniforms by 20 to find the cost for a single uniform (412÷20=20.6). Always make sure that the decimals go until the hundredths place for USD.
Hope this helps!
A certain bacterium has an exponential growth rate of 25% per day. If we start with 0.5 gram and provide unlimited resources, how many bacteria can we grow in 2 weeks? Round to the nearest tenth of a gram. HINT: How many days are in a week?
Answer:
FV= 11.369 gr
Step-by-step explanation:
Giving the following information:
Growth rate (g)= 25% per day
Number of periods (n)= 14 days
Present Value (PV)= 0.5 gr
To calculate the Future Value(FV) in grams, we need to use the following formula:
FV= PV*(1+i)^n
FV= 0.5*(1.25^14)
FV= 11.369 gr
The riddle family income is 3400 per month. They spend 1088 per month on housing. Use information to determine the percent of the budget spent on housing
Answer:
32%
Step-by-step explanation:
[tex]\frac{1088}{3400}[/tex]=[tex]\frac{x}{100}[/tex]
(1088)(100)=(3400)(x)
108800=3400x
x=32
32%
The percent of the budget spent on housing is 31.76%.
What is percentage?
Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.
Given that, The riddle family income is 3400 per month.
They spend 1088 per month on housing.
We know the formula for percentage which is;
Percentage = (given value/whole value)*100,
Percentage = (1080/3400)*100
Percentage = 31.76
Hence, The percentage is 31.76%.
To learn more about percentage check:
https://brainly.in/question/33820520?
#SPJ5
Just need the answer of what the surface area is
Answer:
54
Step-by-step explanation:
What is the difference between the greatest and least amounts of rain?
Answer:
1 inch
Step-by-step explanation:
hshuehevdjdbevejdj
___ divided by 3x3 =12
Answer:
108
Step-by-step explanation:
Answer:
108 hope this helps! :)
with 09) Let x, y be random variables joint probability density function f(x,y) = K (2x+ +y) of as 4 of y=2 443 Find K and (Hind : draw P CY
K = 1/4, fY(y) = (8 - Y)/9
Random variables X and Y have a joint probability density function f(x,y) = K(2x+y) where 0<=x<=1, 0<=y<=2 and f(x,y) = 0 elsewhere. Also, Y = 2^(-X) + 3. Let's determine the value of K.
Determination of K
The probability density function f(x,y) must satisfy the following condition:
i.e., the integral of f(x,y) over the entire range of (x,y) should be equal to 1.
f(x,y) = 0 elsewhere implies that f(x,y) = 0 for x<0 and x>1 and y<0 and y>2. Hence, the range of integration should be [0,1] for x and [0,2] for y.
The integral of f(x,y) over the entire range of (x,y) can be expressed as follows:
[tex]∫∫K(2x+y)dydx = 1[/tex]
On integrating with respect to y first, we get:
[tex]∫(2x+y)dy = [2xy + (1/2)y^2][/tex]evaluated from 0 to 2
= 4x + 2
On integrating with respect to x, we get:
[2x^2 + 2x] evaluated from 0 to 1
= 4
On equating the integral value with 1, we get:
[tex]4K = 1K = 1/4[/tex]
Determination of probability density function of Y
We have [tex]Y = 2^(-X) + 3[/tex]. Therefore, for a given value of Y, the range of X can be determined as follows:
[tex]2^(-X) = Y - 3= > X = -log2(Y-3)[/tex]
Hence, the probability density function of Y can be obtained as follows:
[tex]fY(y) = ∫f(x,y)dxfY(y) = ∫f(x,2^(-X) + 3)dx[/tex]
From the given expression, we can observe that f(x,y) = 0 elsewhere implies that f(x,2^(-X) + 3) = 0 for x<0 and x>1 and y<3 and y>2. Also, the range of integration for x can be determined as follows:
For y<=3, X>=-log2(y-3). For y=2, the minimum value of X can be obtained by taking the limit as y tends to 2 from the right. The minimum value of X is therefore equal to [tex]-∞[/tex]. Therefore, the range of integration for x is [tex][-∞,1].[/tex]
fY(y) =[tex]∫f(x,2^(-X) + 3)dx = ∫(1/4)(2x + 2^(-X) + 3)dx[/tex]
fY(y) = (1/4)(x^2 - 2^(-X)x + 3x) evaluated from [tex]x=-∞ to x=1[/tex]
fY(y) = [tex](1/4)(1 - 2^(log2(Y-3)) + 3)[/tex]= (8 - Y)/9
Let's draw the probability density function of Y. The probability density function of Y is as follows:
fY(y) = (8 - Y)/9
To learn more about variables, refer below:
https://brainly.com/question/15078630
#SPJ11
with 09) Let x, y be random variables joint probability density function f(x,y) = K (2x+ +y) of as 4 of y=2 443 Find K and (Hind : draw P CY<SX ) a picture )
Therese filled a rectangular pool with water. The pool measured 2 1/4 yards long, 2 yards wide and 1 2/3 yards tall. If the pool was filled to the top, how many cubic yards of water did Therese use?
Answer: 7 1/2 cubic yards
Step-by-step explanation: sorry if this is wrong lol
please answer and explain and i’ll give brainliest
Step-by-step explanation:
I really want to help you but there's no question.
LEGIT BEG PLEASE HELP
Answer:
help with what problem?
Step-by-step explanation:
Answer:
Sure
Step-by-step explanation:
Points vectors Apply the Determinant Linear Independence Test to decide whether the [5] 4 0 4 3 2 2 2 V1: 0 3 are linearly independent in R4. a) Evaluate the corresponding determinant. (b) Make your conclusion.
The determinant of the matrix formed by the given vectors is -4, indicating that the vectors are linearly independent in R⁴.
To evaluate the determinant of the given set of vectors V₁ = [5, 4, 0, 4] and V₂ = [3, 2, 2, 2] using the expanded matrix form, we can write:
| 5 3 |
| 4 2 |
| 0 2 |
| 4 2 |
Expanding the determinant along the first row, we can calculate it as follows:
det = 5 * det(| 2 2 |) - 3 * det(| 4 2 |)
| 4 2 | | 0 2 |
We can evaluate each determinant separately:
det(| 2 2 |) = (2 * 2) - (2 * 0) = 4 - 0 = 4
det(| 4 2 |) = (4 * 2) - (2 * 0) = 8 - 0 = 8
Substituting these determinants back into the expanded expression:
det = 5 * 4 - 3 * 8
= 20 - 24
= -4
Therefore, the determinant of the given matrix is -4.
Based on the determinant being nonzero (-4 ≠ 0), we can conclude that the vectors V₁ = [5, 4, 0, 4] and V₂ = [3, 2, 2, 2] are linearly independent in R⁴.
To know more about determinants, refer here:
https://brainly.com/question/29898039#
#SPJ11
Please can someone help me?
Answer:
weight of a water=0.5
spherical ball is filled With water=0.95.
so dear for
22\7*0.5*0.95=1.49
Let S be any sample space, and E, F and G be any three events. Describe the event that E and F occur, and G does not occur.
a) ( E ∪ Fc ) ∩ G
b) ( E ∪ F ) ∩ G
c) ( E ∪ F ) ∩ Gc
d) ( E ∩ F ) ∪ Gc
e) E ∩ F ∩ Gc
f) None of the above.
The event that E and F occur, and G does not occur is E ∩ F ∩ Gc. So, correct option is E.
The event that E and F occur, and G does not occur can be represented by the expression (E ∩ F) ∩ Gc. Let's break down the options provided to determine the correct representation:
a) (E ∪ Fc) ∩ G: This represents the event where either E or the complement of F occurs, and G occurs. It does not capture the condition that both E and F occur.
b) (E ∪ F) ∩ G: This represents the event where either E or F occurs, and G occurs. It does not exclude the possibility of E and F occurring together.
c) (E ∪ F) ∩ Gc: This represents the event where either E or F occurs, and G does not occur. However, it does not specify that E and F occur together.
d) (E ∩ F) ∪ Gc: This represents the event where either E and F occur together or G does not occur. It does not exclude the possibility of E and F occurring without G.
e) E ∩ F ∩ Gc: This correctly represents the event where both E and F occur together, and G does not occur. This is the desired outcome as stated in the question.
Therefore, the correct representation for the event is option e) E ∩ F ∩ Gc.
To learn more about sample space/events click on,
https://brainly.com/question/31974975
#SPJ4
Lets be a given function. A graphical interpretation of the 3-point central difference formula for approximating f'(x) is the slope of the line joining the points of absuissas Xoth h with h > 0.
T/F
True. The graphical interpretation involves calculating the slope of the line connecting two points on the graph of the function, with the distance between the points denoted as h, where h is greater than zero.
The 3-point central difference formula is a numerical approximation technique used to estimate the derivative of a function at a specific point. In this formula, the slope of the line joining two points on the graph of the function is used to approximate the derivative.
To apply the 3-point central difference formula, three points on the graph are considered: (x-h, f(x-h)), (x, f(x)), and (x+h, f(x+h)), where h is a positive value. These three points create two lines: one connecting (x-h, f(x-h)) and (x, f(x)), and the other connecting (x, f(x)) and (x+h, f(x+h)).
The slope of the line joining the points (x-h, f(x-h)) and (x+h, f(x+h)) is then calculated, which represents the approximation of the derivative at x using the 3-point central difference formula. The distance between the two x-coordinates, h, is taken to be greater than zero to ensure that the points are not too close together, allowing for a more accurate estimation of the derivative.
Therefore, the statement is true, as the graphical interpretation of the 3-point central difference formula involves calculating the slope of the line joining the points with a positive value of h.
Learn more about points here:
https://brainly.com/question/30684861
#SPJ11
I need some answer plssss help me
A. Find the unknown term of each proportion.
1. Answer: X=5
Step-by-step explanation:
x/7=15/21 ==> 21x=7(15) ==> 21x=105
21x/21=105/21 ==> x=5
2. Answer: X=40.5
Step-by-step explanation:
27/x=x/3 ==> 27(3)=x(x) ==> 81=2x
81/2=2x/2 ==> x=40.5
3. Answer: X=16
Step-by-step explanation:
8/x+2=4/9 ==> 8(9)=4(x+2) ==> 72=4x+8
72-8=4x+8-8 ==> 64=4x ==> 64/4=4x/4 ==> x=16
4. Answer: X=8
Step-by-step explanation:
3/x=30/80 ==> 3(80)=30x ==> 240=30x
240/30=30x/30 ==> x=8
5. Answer: M=56
Step-by-step explanation:
m/8=m+7/9 ==> 9m=8(m+7) ==> 9m=8m+56
9m-8m=8m-8m+56 ==> m=56
B. Solve the following.
1. Answer: 80 and 100
Step-by-step explanation:
4:5 ==> 4x+5x=180 ==> 9x=180
9x/9=180/9 ==> x=20
4(20)= 80 5(20)=100
2. Answer: 235.29
Step-by-step explanation:
3400/8 ==> 425
100,000/425= 235.29
given the system of equations x 3y z = −2 2x 5y z = −5 x 2y 3z = 1 . the determinant of the matrix of coefficients is −3. the value of z in the solution set is:: (a) z=−2/3 (b) z=5/3 (c) z=4/3 (d) z=−2 (e) None of the above
The value of z in the solution set is approximately -8.33 for the determinant of the matrix of coefficients is −3, Option E is the correct answer.
To solve the system of equations, we can use the method of determinants. The value of z can be determined by finding the determinant of the matrix of coefficients.
The given system of equations can be represented as:
| 1 3 1 | | x | | -2 |
| 2 5 1 | × | y | = | -5 |
| 1 2 3 | | z | | 0 |
The determinant of the matrix of coefficients is -3, which is non-zero. This means that the system of equations has a unique solution.
To find the value of z, we need to calculate the determinant of the matrix obtained by replacing the z-column with the constants column:
| 1 3 -2 |
| 2 5 -5 |
| 1 2 0 |
Using the rule of determinants for a 3x3 matrix, we can calculate the determinant:
Det = (1 × (50 - -52)) - (3 × (20 - -51)) + (-2 × (2 × -5 - 51))
= (1(0 + 10)) - (3 × (0 + 5)) + (-2 × (-10 - 5))
= (110) - (35) + (-2 × -15)
= 10 - 15 + 30
= 25
Since the determinant is non-zero, the system has a unique solution. To find the value of z, we divide the determinant of the matrix obtained by replacing the z-column with the constants column by the determinant of the matrix of coefficients:
z = Detz / Det
= 25 / -3
= -8.33
Therefore, the value of z in the solution set is approximately -8.33.
Learn more about the determinant of the matrix at
https://brainly.com/question/14405737
#SPJ4
The question is -
Given the system of equations x + 3y + z = -2
2x + 5y + z = -5
x+ 2y + 3z = 0
The determinant of the matrix of coefficients is -3. The value of z in the solution set is:
(a) z=−2/3
(b) z=5/3
(c) z=4/3
(d) z=−2
(e) None of the above
Find the standard form of:
x^2+3y^2+4x=5
-9x^2+25y^2-54x-50y-281=0
Answer:
2 + 3 2+ 4 = 5 − 9 2 +2 5 2 − 5 4 − 5 0 − 2 8 1 = 0
Step-by-step explanation:
There really isn't an easier way to put that, sorry :/
Hope this helped, and please mark as brainliest <3
Use the graph of the function f(x) - (x + 1)2 + 2. Identify the vertex and
the axis of symmetry.
Answer:
x = –1 AND (-1,2)
Step-by-step explanation:
The axis of symmetry is x = –1
and the vertex is (-1,2)
i know this because the graph is on -1, 2
and I also took the quiz hope it helps ;)
The vertex of the function is (-1, 2).
The axis of symmetry of the function is -1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = (x + 1)² + 2
f(x) = x² + 2x + 1 + 2
f(x) = x² + 2x + 3
Now it is in the form of ax² + bx + c
a = 1
b = 2
c = 3
The coordinate of the Vertex of the function is (-b/2a, f(x)) = (x, y)
-b/2a = -2/2 = -1
f(x) = (-1)² + 2 x (-1) + 3 = 1 - 2 + 3 = 4 - 2 = 2
Vertex = (-1, 2)
The axis of symmetry is the x-coordinate of the vertex.
= -1.
Thus,
Vertex is (-1, 2).
The axis of symmetry is -1.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
help i really need help WILL GIVE BRAINLIEST
Answer:
3 and 4
Step-by-step explanation:
Can someone explain this step by step pls and no links
Answer: 12
Step-by-step explanation: Use the quadratic equation to solve the equation.
a = 1
b = -8
c = 12
Answer:
x=6 is the answer
Step-by-step explanation:
x squared -8 x +12=0
6 squared=36
36-8x +12=0
x= 6 so 8*6 =48
36-48+12=0
36-48= -12
-12+12=0
hope this helps
use a known maclaurin series to obtain a maclaurin series for the given function. f(x) = xe5x
The maclaurin series for the given function xe⁵ˣ = x + 5x² + (25x³)/2! + (125x⁴)/3! + ...
To find the Maclaurin series for the function f(x) = xe⁵ˣ, we can utilize the Maclaurin series expansion of the exponential function, eˣ:
eˣ = 1 + x + (x²)/2! + (x³)/3! + ...
Substituting 5x for x in the above expansion, we have:
e⁵ˣ = 1 + 5x + (5x)²/2! + (5x)³/3! + ...
Multiplying the above series by x, we get:
xe⁵ˣ = x + 5x² + (25x³)/2! + (125x⁴)/3! + ...
This is the Maclaurin series for the function f(x) = xe⁵ˣ.
The calculation involves applying the Maclaurin series expansion of the exponential function to the function f(x) = xe⁵ˣ by substituting 5x for x in the series expansion. Then, multiplying the resulting series by x gives us the desired Maclaurin series for f(x).
The series can be continued by following the pattern of increasing powers of x, with the coefficients determined by the corresponding terms in the expansion.
To learn more about maclaurin series click on,
https://brainly.com/question/31675701
#SPJ4
All
bags of marbles from Esteban's Marble Company have 7 green marbles
for every 4 purple marbles. If a bag has 56 green marbles, how many
purple marbles are in the bag?
There are 32 purple marbles in the bag.
All bags of marbles from Esteban's Marble Company have 7 green marbles for every 4 purple marbles.
To find out the number of purple marbles, let's represent the ratio of the number of green marbles to purple marbles as 7:4.
Since the ratio of green marbles to purple marbles is constant for all bags of marbles, we can create the following equation:
x/4 = 56/7 where x is the number of purple marbles in the bag.
To solve for x, we can cross-multiply:7x = 224
Dividing by 7 on both sides,
x = 32
Hence, the number of purple marbles in the bag is 32.
To learn more about ratio
https://brainly.com/question/32488155
#SPJ11
A triangle has sides with lengths of 14 feet, 48 feet, and 50 feet. Is it a right triangle?
Answer:
Yes, it is a right triangle
Step-by-step explanation:
Answer: Yes it is
Note that a right triangle is a triangle with a right angle.
I am the smallest number u can make that is greater than 617,500| what number am I
Answer:
Step-by-step explanation:
That'd be 617,501. This is greater than 617,500.
Please help me, GodBless.
Answer:
m= 5/2
Step-by-step explanation:
Points: (0, 2) and (4, 12)
Slope:
m=(y2-y1)/(x2-x1)
m=(12-2)/(4-0)
m=10/4
m= 5/2
Answer:
2.5
Step-by-step explanation:
Hello There!
We can easily calculate the slope using the slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
all we need to do is pick to ordered pairs from the table and plug in the x and y values of the selected pairs
The ordered pairs selected can vary but i chose the points (0,2) and (4,12)
now we plug in the values into the formula
(remember y values on top and x values down below)
[tex]m=\frac{12-2}{4-0} \\12-2=10\\4-0=4\\\frac{10}{4}=2.5[/tex]
so we can conclude that the slope of the function is 2.5
Find a vector with magnitude 14 in the same direction as (2,6, -3)
To find a vector with a magnitude of 14 in the same direction as (2, 6, -3), the vector (4, 12, -6) has a magnitude of 14 and is in the same direction as (2, 6, -3).
we need to scale the original vector while preserving its direction. By normalizing the vector, we can determine its unit vector and then multiply it by the desired magnitude to obtain the final vector. magnitude = √(x² + y² + z²), where x, y, and z are the components of the vector. In this case, the magnitude of the vector (2, 6, -3) is √(2² + 6² + (-3)²) = √(4 + 36 + 9) = √49 = 7.
To obtain a vector with a magnitude of 14, we need to scale the original vector by a factor of 14/7. This ensures that the new vector has the desired magnitude while maintaining the same direction. Scaling a vector involves multiplying each of its components by the scaling factor. Therefore, we can calculate the new vector as follows: New vector = (2, 6, -3) * (14/7) = (2 * 14/7, 6 * 14/7, -3 * 14/7) = (4, 12, -6).
Learn more about vector click here:
brainly.com/question/24256726
#SPJ11
{18-12+8-16/3+...} find the sum
I think it is 8.6.. but I am not 100% sure
Step-by-step explanation:
need help please.........
Answer:
Yes. it is 5. bc u need to trust me
Aaron is making a jewelry box of wood in the shape of a rectangular prism the jewelry box will have the dimensions shown in the shape to the right the cost of painting exterior of the box is $0.50 per square inch is how much does Aaron have to spend to paint the jewelry box
A. $684
b. $342
c.$700
d. $100
need help on quiz please answer
Answer:
b. $342
Step-by-step explanation:
Base = Length * width
Base Area = 12 * 5
B = 180 square inches.
Perimeter of the prism will be :
P = 2 (length) + 2 (15)
P = 2 * 12 + 30
P = 54 inches
Height of the jewelry container will be :
X = Ph + 2B
X = 54 * 6 + 2 * 180
X = 684 square inches.
Total cost for paint of jewelry box is :
X * cost per inch
Total cost = 682 * $0.50
Total Cost = $342.
A random poll of 800 middle school students found that 9% are ESL (English as a Second Language) learners. Estimate the actual percentage of ESL learners by constructing a 95% confidence interval. Separately, a local school board member claimed that 15% of students are ESL learners. Is the board member's claim plausible? The 95% confidence interval is 7% to 11% and, yes the board member's claim of 15% is plausible since his claim is inside of the confidence interval The 95% confidence interval is 7% to 11% and, no the board member's claim of 15% is not plausible since his claim is outside of the confidence interval The 95% confidence interval is 9% and, no the board member's claim of 15% is not plausible since his claim is outside of the confidence interval The 95% confidence interval is 0% to 18% and, yes the board member's claim of 15% is plausible since his claim is inside of the confidence interval QUESTION 26 A stationary time series is one whose properties depend on the time the series is observed and are likely to exhibit trends and seasonality. True False
The given statement "A stationary time series is one whose properties depend on the time the series is observed and are likely to exhibit trends and seasonality" is false.
The confidence interval provides a range of values in which the actual value of a population parameter is likely to fall.
A random poll of 800 middle school students found that 9% are ESL (English as a Second Language) learners.
The confidence interval estimates the actual percentage of ESL learners by constructing a 95% confidence interval.
Let us calculate the 95% confidence interval to check the board member's claim.
The point estimate is:9%
The margin of error is calculated as:
ME=1.96×√(pˆ(1−pˆ)/n)=1.96×√(0.09(1−0.09)/800)=0.0228
Since the margin of error is small enough relative to the point estimate, we can approximate the confidence interval using:
pˆ±ME=0.09±0.0228
=(0.0672,0.1128)
The 95% confidence interval is (0.0672, 0.1128).
Now we can check if the board member's claim of 15% is plausible or not:
15% falls outside the 95% confidence interval of (0.0672, 0.1128).
Hence, we can conclude that the board member's claim of 15% is not plausible since his claim is outside of the confidence interval.
False is the correct answer to the given question.
A stationary time series is one whose properties do not depend on the time the series is observed and do not exhibit trends and seasonality.
To learn more about margin
https://brainly.com/question/31622321
#SPJ11
ANSWER ASAP PLEASE!
Diana & Henry are choosing candy toppings for their ice cream. Diana
will randomly choose a candy topping and Henry will also randomly
choose a candy topping. The candy topping choices are Butterfinger,
Snickers, MilkyWays, Crunch Bar, Starburst, and Skittles. What is the
probability that Diana and Henry will both choose Butterfinger?
a. 1/30
b. 1/36
c. 1/12
d. 1/6
Answer:d
Step-by-step explanation: there are 6 candys and only one is butterfinger therefore it would be 1/6
Answer:
answer should be 1/36
option (b)
good day mate
explanation : the sample space is 36 and butterfinger comes only once to both of them.