Answer:
56 drinks
Step-by-step explanation:
7 drinks = 1 coconut
x drinks = 8 coconut
cross multiply
x drinks = 7 × 8
x drinks = 56
so you can make 56 drinks with 8 coconuts
Answer:
One coconut = 7 drinks
Eight coconuts = X drinks
So set up the equation;
Drinks 7 x________ _________ = _________, solve for x:-
Coconuts 1 87/1 = x/8
*8 *8
56 = x, 56 drinks can be made with 8 coconuts.
Help me with this ASAP plz!!
Answer:
Rate of change = 2 & Initial value = -1
You flip a fair coin 24 times. About how many times would you expect heads to appear? If a fair coin is flipped 24 times then heads should appear about times.
Answer:
12 50/50 chance
Step-by-step explanation:
A rectangular garden 30 m by 40 m has two paths of equal width crossing through it as shown. Find the width of each path if the total area covered by the paths is 325 m^2
The width of the two paths is 5 m.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.
Let the width of the two paths be x.
Thus, the total area covered by the paths is = (30×x) + (40×x) - x²
The total area covered by the paths is 325 m².
Equate both of them.
⇒ (30×x) + (40×x) - x² = 325
⇒ 30x + 40x - x² = 325
⇒ x² -70x + 325 = 0
Solving the above equation, we get
x = 65 or x = 5
The valid solution is x = 5.
Thus, the width of the two paths is 5 m.
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A teaching assistant gives a quiz. There are 10 questions on the quiz and no partial credit is given. After grading the papers the TA writes down for each student the number of questions the student got right and the number wrong. What is the correlation of the number of questions right and wrong
The correlation coefficient between the number of questions right and the number of questions wrong is -2.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the variables are the number of questions right and the number of questions wrong for each student.
To calculate the correlation coefficient, you need to have data for both variables for each student. Let's assume we have the following data for three students:
Student 1: 8 right, 2 wrong
Student 2: 5 right, 5 wrong
Student 3: 2 right, 8 wrong
Step 1: Calculate the mean of the number of questions right (meanX) and the mean of the number of questions wrong (meanY). In our example:
meanX = (8 + 5 + 2) / 3 = 5
meanY = (2 + 5 + 8) / 3 = 5
Step 2: Calculate the deviations from the mean for both variables. This is done by subtracting the mean from each individual value.
For student 1:
deviationX = 8 - 5 = 3
deviationY = 2 - 5 = -3
For student 2:
deviationX = 5 - 5 = 0
deviationY = 5 - 5 = 0
For student 3:
deviationX = 2 - 5 = -3
deviationY = 8 - 5 = 3
Step 3: Calculate the product of the deviations for each student.
For student 1:
product of deviations = deviationX * deviationY = 3 * -3 = -9
For student 2:
product of deviations = deviationX * deviationY = 0 * 0 = 0
For student 3:
product of deviations = deviationX * deviationY = -3 * 3 = -9
Step 4: Calculate the sum of the product of deviations.
sum of products of deviations = (-9) + 0 + (-9) = -18
Step 5: Calculate the standard deviation of the number of questions right (sdX) and the standard deviation of the number of questions wrong (sdY). This is done by taking the square root of the sum of the squares of the deviations from the mean divided by the number of data points minus 1.
In our example:
sdX = √[((3^2) + (0^2) + (3^2)) / (3 - 1)] = √[(9 + 0 + 9) / 2] = √[18 / 2] = √9 = 3
sdY = √[((-3^2) + (0^2) + (3^2)) / (3 - 1)] = √[(9 + 0 + 9) / 2] = √[18 / 2] = √9 = 3
Step 6: Calculate the correlation coefficient (r). This is done by dividing the sum of the product of deviations by the product of the standard deviations.
In our example:
r = sum of products of deviations / (sdX * sdY) = -18 / (3 * 3) = -18 / 9 = -2
The correlation coefficient between the number of questions right and the number of questions wrong is -2. The negative sign indicates a negative linear relationship, meaning that as the number of questions right increases, the number of questions wrong decreases, and vice versa.
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Aiden is a taxi driver.
m(n)m(n)m, left parenthesis, n, right parenthesis models aiden's fee (in dollars) for his n^\text{th}n
th
n, start superscript, start text, t, h, end text, end superscript drive on a certain day.
what does the statement m(8)
There is a taxi driver Aiden and he uses M(n) model to determine the money he earned from each drive. As n stands for the drive number, the statement M(8)<M(4) means that Aiden's fee for the \(8^t^h\) drive is less than for his \(4^t^h\) drive.
We know that Aiden is a taxi driver and he uses his M(n) model to find the amount he earned from each drive. In his M(n) model n signifies the drive number.
Given that M(8)<M(4):
In the above statement, M(8) stands for the \(8^t^h\) drive of Aiden, and M(4) stands for the \(4^t^h\) drive of Aiden.
By using his M(n) model, we can conclude the statement M(8)<M(4) that Aiden earned more money for his \(4^t^h\) drive than he earned for his \(8^t^h\) drive.
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The complete question is:
Aiden is a taxi driver.
M(n) models Aiden's fee (in dollars) for his \(n^t^h\)drive on a certain day.
What does the statement M(8)<M(4), mean?
What is the vertical distance between (2, 11/3 ) and (2, −4/3 )?
Answer:
382
Step-by-step explanation:
50 POINTS .....................
The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\)
\(\rm c = \dfrac{\sum y -m \sum x}{n}\)
We have data shown in the picture.
Let's suppose the regression line is:
y = mx + c
Where m is the slope of the regression line and c is the y-intercept of the line.
We can calculate the value of m and c by using the formula.
After calculating, we get:
m = 0.4925
c = -22.26
Mus. Apt. = 0.49253(IQ score) - 22.26
or
Mus. Apt. = -22.26 + 0.4925(IQ score)
Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
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Answer:
The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.
PLS HELP WILL GIVE BRAINLIEST
ignore the one i marked
Answer:
im almost postive the one you marked is correct
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
When you elevate by 3 you get:
\(\sqrt[3]{g}^{3} = g\)
Hope this helps, have a good day
solve the given differential equation by undetermined coefficients. y'' 5y' 4y = 8
To solve the given differential equation by the method of undetermined coefficients, first identify the form of the equation: y'' - 5y' + 4y = 8.
This is a second-order linear homogeneous differential equation with constant coefficients. Since the right-hand side is a constant, we guess a particular solution of the form: yp = A, where A is an undetermined coefficient. Now we can find the first and second derivatives: yp' = 0
yp'' = 0
Substitute these values back into the original differential equation: 0 - 5(0) + 4A = 8
This simplifies to: 4A = 8
Now we can solve for the undetermined coefficient: A = 8 / 4
A = 2
So the particular solution is: yp = 2
Now we can find the complementary solution by solving the homogeneous equation: y'' - 5y' + 4y = 0
The characteristic equation is: r^2 - 5r + 4 = 0
Factoring this equation gives: (r - 4)(r - 1) = 0
So the roots are r1 = 4 and r2 = 1. The complementary solution is given by: yc = C1 * e^(4x) + C2 * e^(x)
Finally, the general solution is the sum of the complementary and particular solutions:
y(x) = C1 * e^(4x) + C2 * e^(x) + 2
where C1 and C2 are constants determined by initial conditions (if provided).
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one fourth of two thirds
What is that in Verbal expression fractions
Covert each into algebraic equations
1.Twice a number is eight less than four times that number.
2.Four times the sum of a number and two is twenty.
3.Nine less than twice a number is four times the sum of the number and five.
Answer:
1) 2x=4x-8
2) 4(x+2)=20
3) 2x-9=4(x+5)
You buy 3. 18 pounds of oranges 1. 35 pounds of grapes and 1. 72 pounds of apples what is your total bill
Answer:
5
Step-by-step explanation:
Oranges: 3.46 $
Grapes: 1.36 $
Apple: They didn't leave you with the cost of the apple so I don't know
Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.
Brainlist maybe? :)
distance between (−9,−8) and (−6,−4)
Answer:
5
Step-by-step explanation:
Distance formula is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)
now you plug in your numbers. \(\sqrt{(-6-(-9))^2+(-4-(-8))^2}\)
\(\sqrt{3^2+4^2}\)
\(\sqrt{9+16}\)
\(\sqrt{25}\)
=5
:)
Determine if the ordered pairs are a function
[(1,3) (-1,3) (0,7) (2,5)]
Yes No
Answer:
Yes
Step-by-step explanation:
It is a function because the x's are not repeating.
The x's are 1, -1, 0, and 2. They are not repeating.
Remember it is a function if the x's don't repeat.
Hope this helps ya!!
A geometric sequence has 2 a5 567 Determine a and r so that the sequence has the formula an = a.pn−1. a = Number r = Number " ag 2 15, 309
Given that the fifth term of a geometric sequence is 567, and the second term is 15,309, we need to determine the values of a and r. Answer: a = 567 and r = 27.
In a geometric sequence, each term is obtained by multiplying the previous term by a common ratio. The general formula for the nth term of a geometric sequence is given by an = a * r^(n-1), where a represents the first term and r represents the common ratio.
We are given that the fifth term, a5, is equal to 567. Plugging this value into the formula, we have:
a5 = a * r^(5-1) = 567.
To determine the values of a and r, we need another equation. Let's consider the second term, a2. According to the formula, a2 = a * r^(2-1) = a * r.
We are given that a2 = 15,309. Therefore, we have:
15,309 = a * r.
Now we have a system of two equations:
a * r = 15,309,
a * r^4 = 567.
By solving this system of equations, we can determine the values of a and r.
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Construct a 90% confidence interval for the population mean you. Assume the population has a normal distribution a sample of 15 randomly selected math majors had mean grade point average 2.86 with a standard deviation of 0.78
The 90% confidence interval is: (2.51, 3.22)
Confidence interval :It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.
We have the following information :
Number of students randomly selected, n = 15.Sample mean, x(bar) = 2.86Sample standard deviation, s = 0.78Degree of confidence, c = 90% or 0.90The level of significance is calculated as:
\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)
The degrees of freedom for the case is:
df = n - 1
df = 15 - 1
df = 14
The 90% confidence interval is calculated as:
=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)
= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)
= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)
= 2.86 ± 0.3547
= (2.51, 3.22)
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A restaurant uses 32 potatoes for each batch of potato soup it makes. About how many batches of potato soup can the restaurant make from its last shipment of 1,275 potatoes? A 30 B 40 C 45 D 50
Answer:
The answer is B (40)
Step-by-step explanation:
If you divide 1,275 by 32 you get 42 with a remainder of 11. So if you take the 42 as the whole number and take the remainder (11) and make it the numerator and make 32 the denominator, you should get 42 11/32 as the result. After that you should round that number and you get 40 so the answer is B.
Un guardacostas observa un barco desde una altura de 5 metros. El barco está a una distancia horizontal del punto de observación de 12 metros. ¿Cuál es la longitud, en metros, de la visual del guardacostas al barco?
Answer:
the length in meters of the coastguard line of the sight to the ship is 13 meter
Step-by-step explanation:
The computation of the length in meters of the coastguard line of the sight to the ship is as follows:
Here we use the Pythagoras theorem i.e. shown below;
H ^ 2 = 5 ^ 2 + 12^ 2
H^2 = 25 + 144
H^2 = 169
H = 13 meter
Hence, the length in meters of the coastguard line of the sight to the ship is 13 meter
The same is to be considered
Will give brainliest
Answer:
5/14
Step-by-step explanation:
5/12 ÷ 7/6
5/12 × 6/7
5×6/12×7
30/84
30÷6/84÷6
5/14
help with this problem
Answer:
sorry
Step-by-step explanation:
Find the area or the region bounded by the curves y = x^3 and y = x.
wgiven the functions
\(y=x^3\)\(y=x\)the area of the curve is given by the integral
the limits are defined by
\(y1=y2\)\(x^3=x\)\(x^3-x=0\)\(x(x+1)(x-1)=0\)\(x=0;x=-1;x=1\)the defined integral for the ara is given by
\(A=-\int_{-1}^0x-x^3dx+\int_0^1x-x^3dx\)\(A=2\int_0^1x-x^3dx\)\(A=2\lbrack\frac{x^2}{2}-\frac{x^4}{4}\rbrack_0^1\)\(A=2\lbrack\frac{1^2}{2}-\frac{1^4}{4}\rbrack_^-2\lbrack\frac{0^2}{2}-\frac{0^4}{4}\rbrack\)\(A=2\lbrack\frac{1^2}{2}-\frac{1^4}{4}\rbrack_^\)\(A=2*\frac{1}{4}\)\(A=\frac{2}{4}=\frac{1}{2}\)A= 1/2= 0.5
solve by using the LCD. 4/x-5 + 1/x = x-1/x-5
(please help!!)
Answer: x ≠ 5; x≠ 0
\(\frac{4}{x-5}+\frac{1}{x}=\frac{x-1}{x-5}\\\\<=> \frac{4x+x-5}{x(x-5)}=\frac{x(x-1)}{x(x-5)} \\<=> 4x+x-5=x(x-1)\\<=> 5x-5 = x^{2}-x\\<=> x^{2} -6x+5=0\\<=>(x-5)(x-1)=0\\\)
because x≠ 5 => x - 5 ≠ 0
=> x - 1 = 0
⇔ x = 1
Step-by-step explanation:
See attachment for math work and answer.
Reject x = 5.
Answer is x = 1.
lolllll helppp me out sorry
i’m really confused please help
Answer: probly d
Step-by-step explanation:
a ,b ,and c are subtracting makeing it hard top get something that was not in the problem
please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
Can someone please help me with this question, thank you! :)
Answer:
14
Step-by-step explanation:
Sure thing, just use PEMDAS!
(Simplify first so that 24/4 = 6)
2 x 1 + 2 x 6
2 + 2 x 6
2 + 12
14
Answer:
The answer is 14.
Step-by-step explanation:
To solve this equation, we need to follow the order of operations or PEMDAS:
1. Simplify 24/4; after dividing, you should receive 6. (2 x 1 + 2 x 6)
2. Multiply 2x1; you should then receive 2 [anything times 1 stays the same!]. (2 + 2 x 6)
3. Multiply 2x6; assuming you did this correctly, you get 12. (2 + 12)
4. Add 2 and 12. You should end up with 14.
14 is your final answer.
Which number is an integer?
Answer:
The answer is 0
Step-by-step explanation:
You are making a coffee
table with a glass top surrounded by a cherry border.
The glass is 3 feet by 3 feet. You want the cherry border
to be a uniform width. You have 7 square feet of cherry
to make the border. What should the width of the border be?
Answer:
6 inches
Step-by-step explanation:
You want to know the uniform width of border around a 3 ft square coffee table that would have an area of 7 square feet.
Border areaThe area of the border is x feet wide by 3 feet long along each of the 4 sides, together with 4 corner squares that are x ft square.
A = 7 = 4(3x +x²)
Completing the square, we have ...
x² +3x +9/4 = 7/4 +9/4 . . . . . . divide by 4, add (3/2)² to both sides
(x +3/2)² = 4 . . . . . . . . . . . . simplify
x +3/2 = √4 = 2 . . . . . . square root
x = 1/2 . . . . . . . . . foot
The width of the border should be 6 inches.
Find the length of AB, BC, and AC
Answer:
6=AB
8=BC
AC =
formula=H²=P²+B²
H=AC
P=BC
B=AB
H²=8²+6²
H²=64 +36
H²=100
H=10
6x+3y=54 2x+y=18 system of equation using substitution
Answer:
\(\boxed{x=R}\), where R stands for all real numbers.
Step-by-step explanation:
Part 1: Solving one equation for its variable
First, we need to solve one of the equations for one of its variables. I will use the second equation.
\(2x+y=18\) Subtract \(2x\) from both sides to isolate the \(y\).
\(\boxed{y = -2x + 18}\)
Part 2: Substituting the solved variable value into the other equation
Now, simply substitute this value in the place of the \(y\) in the first equation and solve for \(x\).
\(6x+3(-2x+18) =54\) Distribute the coefficient of the equation.
\(6x -6x + 54 = 54\) Simplify the equation.
\(0 = 0\)
This answer is perfectly okay to get. This means that your equations have an infinite number of solutions.