Step-by-step explanation:
93.3
this time will help
ken drinks 1/6 of a carton of milk each day. how much milk does he drink in 3 days?
Answer:
half a carton
Step-by-step explanation:
1/6 x 3/1 = 3/6 or 1/2
you could also add 1/6 + 1/6 + 1/6
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n= 6, x= 3, p= 1/6
Answer:
0.054
Step-by-step explanation:
We have the general binomial probability calculation as;
n C r * p^r * (1-p)^(n-r)
Where 1-p = 1-1/6 = 5/6
So we have ;
6 C 3 * (1/6)^3 * (5/6)^3
= 0.054
A watch which was bought for R250, was sold for R375. What profit made on the sale? atima has 56 roses, 48 irises and 16 freesias. She wants to cre ouquets using all the flowers. Calculate the highest number ouquets she can make without having any flowers left over Fatima paid R240 for her flowers and sold the bouquets for
Solving the provided question, we can say that the highest number bouquets she can make without having any flowers left is calculated by Highest Common Factor so, HCF of 56, 48 and 16 is 8
What is Highest Common Factor?In mathematics, the highest positive integer that divides the corresponding integers is known as the greatest common divisor of two or more non-zero integers. The greatest common factor (HCF) of two or more numbers is the sum of those two or more numbers. As a result, it is frequently referred to as the largest common divisor (GCF). Take the prime factors of the two (or more) integers and determine the shared prime factors to determine the greatest common divisor. Following that, the sum of common prime factors is the greatest common divisor. A specified number divided by the biggest integer results in the greatest common divisor.
the highest number bouquets she can make without having any flowers left is calculated by Highest Common Factor so, HCF of 56, 48 and 16 is 8
To know more about is Highest Common Factor visit:
https://brainly.com/question/802960
#SPJ1
Evaluate the expression 3x^2+4x^3 when x=4.
Step-by-step explanation:
304
plug 4 in for x
3(4)^2 + 4(4)^3 = 304
48 + 256 = 304
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equation? OA. y = -x + 14 O B. - r - 15 OD. & 1 + 8
Answer:
\(y = x +7\)
Step-by-step explanation:
Given
\(Point\ (x_1,y_1) = (4,11)\)
Perpendicular to \(y = -x + 14\)
Required
Determine the line equation
An equation has the form
\(y = mx + b\)
Where
\(m = slope\)
By comparison with \(y = -x + 14\)
\(m = -1\)
Because the line is perpendicular to \(y = -x + 14\), the following relationship exists
\(m_1 = \frac{-1}{m}\) i.e. the condition for perpendicularity
Where m1 is the slope of the equation that passes through \(Point\ (x_1,y_1) = (4,11)\)
So, we have:
\(m_1 = \frac{-1}{-1}\)
\(m_1 = 1\)
The line equation is then calculated using:
\(y - y_1 = m_1(x - x_1)\)
Where
\(m_1 = 1\)
\(Point\ (x_1,y_1) = (4,11)\)
So, we have:
\(y - 11 = 1(x - 4)\)
\(y - 11 = x - 4\)
Add 11 to both sides
\(y - 11+11 = x - 4+11\)
\(y = x - 4+11\)
\(y = x +7\)
The B, C and D parts of your question are not clear.
Apply the same steps used in (a) above and you'll get your answers
Find the sum of the interior angle measures of the polygon.
Answer:
1080 degrees
Step-by-step explanation:
The sum of the interior angles of any polygon is:
Sum = (n - 2) * 180
Where n represents the number of vertices of the polygon
This polygon has 8 vertices so:
(8-2) * 180 = 6*180 = 1080 degrees
find the area of the surface obtained by rotating the given curve about the x-axis. x = 20 cos 3 ( θ ) , y = 20 sin 3 ( θ ) , 0 ≤ θ ≤ π 2
The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution
To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:
A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ
In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).
Plugging these values into the surface area formula and simplifying, we get:
A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ
Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.
Learn more about integral here: https://brainly.com/question/31433890
#SPJ11
A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.
Which is a possible turning point for the continuous function f(x)?
(–2, 0)
(0, –2)
(2, –1)
(4, 0)
Answer:
(-2,0)
Step-by-step explanation:
x row -6, -4, -2, 0, 2, 4, 6
f row -2, -1, 0, 0, 2, 4, 8
It goes from least to greatest.
Answer:
(-2,0)
Step-by-step explanation: Edu 2020 Unit Test
Jonczyk Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost $454,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $68,000. Project B will cost $300,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $47,000. A discount rate of 9% is appropriate for both projects. Click here to view PV table.
Calculate the net present value and profitability index of each project. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answers to 0 decimal places, e.g. 125 and profitability index answers to 2 decimal places, e.g. 15.52. For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124.)
Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.
A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.
Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14
Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96
The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.
To know more about Net present value visit
https://brainly.com/question/32720837
#SPJ11
What is the main advantage to probability samples (as opposed to non-probability samples)?
Probability samples have the advantage of providing a more representative sample of the population over non-probability samples.
Each member of the population has a known and non-zero chance of being chosen for the sample in probability sampling. This means that every member of the population has an equal chance of being chosen, which aids in reducing selection bias.
As a result, probability samples are more likely to accurately reflect population characteristics and can provide more reliable and valid population inferences.
Non-probability samples, on the other hand, lack this property and may not accurately reflect the population. In a convenience sample, for example, people are chosen simply because they are easily accessible, which may not accurately reflect the population as a whole.
To learn more about probability.
https://brainly.com/question/29750701
#SPJ4
Given that circle P has a radius of 7 and a center of (3, -2), which point lies on the perimeter of circle P?
A. (3, -9)
B. (4, 2)
C. (3, -2)
D. (4, -5)
Answer: (3, -9)
Step-by-step explanation:
The equation of P is \((x-3)^2 +(y+2)^2 =49\)
Substituting the coordinates of each of the points into the equation, we see that only (3, -9) satisfies the equation.
Answers with the reasons
Answer:
hope this will help you more...good luck
and, New innings hidjsjs. dbsjsjjz djskskkdjd
Answer:
THANK YOU?
Step-by-step explanation:
DNSNJSMSNNFJD
Please, give me brainliest
what's the numerical value of 8 -⁵/³
Answer:
i don't under stand if they are exponents or numbers.
Step-by-step explanation:
if they are numbers then -1
A model train has a scale of 1 in : 3in. if the real train is 12ft tall then how tall is the model train
If the ratio of a model train to a real train exists 1:3 and the real train exists 12 feet then the model train exists 3 feet long.
How to estimate the ratio of the model train?Given that the model train contains a scale of 1: 3 and the real train exists 12 feet tall.
The ratio indicates how many times one number has another number.
A ratio exists as the relationship in quantity between two things.
It conveys the quantity of one thing in words of another.
The ratio of a model train to a real train exists at 1 inch :3 inches.
Height of model train = 12 \(*\) 1/4
Height of model train = 3 inches
Therefore, the ratio of a model train to a real train exists 1: 3 and if the real train exists 12 feet then the model train exists 3 feet long.
To learn more about ratios refer to:
brainly.com/question/2328454
#SPJ4
How to find a polynomial function with given zeros.
First of all,
let the two zeroes be 2 and 3.
Now,
Sum of the zeros = 2 + 3 = 5
Product of the zeros = 2 × 3 = 6
Hence, the polynomial formed is,
= x² – (sum of zeros)x + Product of zeros
= x² – 5x + 6
is a logarithmic function the inverse of an exponential function
Yes, a logarithmic function is the inverse of an exponential function.
An exponential function is of the form f(x) = aˣ where 'a' is the base and 'x' is the exponent. The exponential function represents exponential growth or decay.
A logarithmic function is an exponential function's inverse. A logarithmic function is of the form g(x) = logₐ(x), where 'a' is the base and 'x' is the argument. The logarithmic function represents the power to which the base 'a' must be raised to obtain the value 'x'.
When an exponential function and its inverse logarithmic function are composed together, they "cancel out" each other, returning the original input. Similarly, when a logarithmic function and its inverse exponential function are composed together, they also "cancel out" each other, returning the original input.
Therefore, an exponential function and its inverse logarithmic function are mathematically related as inverse functions.
Learn more about logarithmic function here
https://brainly.com/question/30339782
#SPJ4
The time it takes for an object dropped from a height to reach the ground is given by the function time (in seconds) =(1/4)√h where h is the initial height in feet. If an object dropped from a building takes 4 seconds to reach the ground what is height of the object was dropped from, to the nearest foot?
Answer:
256 ft
Step-by-step explanation:
Assuming f(t)=(1/4)√h, we can solve for h by setting 4=(1/4)√h.
4=(1/4)√h
16=√h
h= 16^2 =256 ft
Step-by-step explanation:
h = (4 ÷ ¼)²
h = (4 × 4)²
h = 16² = 256ft
HELP ANOTHER QUESTION HAVE RSM TOMORROW! PLSSSSS HELP!!!!!!!!!!!!!!!!!!!!
To Find:
The vale of xSolution:
In the attachmentHope this helps :)
Answer:
Step-by-step explanation:
A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorator’s fee was 12% of the purchases, not including the tax.
Write an equation in the form of y=kx, using x to represent the decorator’s fee. Then use the equation to calculate the amount of that fee.
Please answer ASAP!!!
Answer:
Can you be more specific, like y is what and k is what because it tells us what x is but not the rest.
Step-by-step explanation:
For y=f(x) = 5x - 4, x = 2, and Ax = 3 find a) Ay for the given x and Ax values, b) dy=f'(x)dx, c) dy for the given x and Ax values.
Ay(derivative) for the given x and Ax values is 11 , dy=f'(x)dx is 5dx and dy for x and Ax is 15
Let's have further explanation:
a) By substituting the given value of x and Ax, we get:
Ay = 5(3) - 4 = 11
b) The derivative of the function is given by dy = f'(x)dx = 5dx
c) By substituting the given value of x, we can calculate the value of dy as:
dy = f'(2)dx = 5(3) = 15
To know more about derivative refer here:
https://brainly.com/question/29020856#
#SPJ11
PLEASE HELP ME
*algebra 2*
Alex divides by 2, then adds 5 to get an answer of 4. What was the original number?
Answer:
-2
Step-by-step explanation:
(Let x = the original number)
x/2 + 5 = 4
subtract 5 from both sides
x/2 = -1
multiply both sides by 2 to isolate x
x = -2
The original number was -2.
help will give crown only REAL ANSWERS COMMENT IF YOU HAVE A QUESTION
Answer:
A
Step-by-step explanation:
In that example the plane is going up constantly whereas in example B the plane in going down, in example C the plane it going up but the stops and goes at the same speed, and in D the plane it once again going down.
Altham (1978) introduced the discrete distribution f (x; 33.14, 0) = c (33.14,0) (n x) 3.14^x (1 – 3.14)^n-x 0^x(n-x), x= 0,1..., n, = where c (3.14, 0) is a normalizing constant. Show that this is in the two-parameter exponential family and that the binomial occurs when 0 = 1. (Altham noted that overdispersion occurs when 0 < 1. Lindsey and Altham (1998) used this as the basis of an alternative model to the beta-binomial.)
Altham's discrete distribution belongs to the two-parameter exponential family and exhibits a binomial distribution when one of the parameters is set to 1.
What is the significance of the two-parameter exponential family in the context of Altham's discrete distribution?The discrete distribution proposed by Altham in 1978, denoted as f(x; 33.14, 0), is a member of the two-parameter exponential family. It can be expressed as f(x; θ, φ) = c(θ, φ) (n x) θ**x (1 – θ)**(n-x) φ**x(n-x), where c(θ, φ) is the normalizing constant.
The two-parameter exponential family is a class of probability distributions characterized by the form f(x; θ, φ) = h(x) exp(θT(x) + φA(θ)), where θ and φ are the parameters, h(x) is a function of x, T(x) is a vector of sufficient statistics, and A(θ) is a function of θ. In the context of Altham's distribution, the occurrence of the binomial distribution corresponds to setting φ = 1.
This highlights the connection between Altham's model and the binomial distribution, with the potential for overdispersion when φ < 1, as noted by Altham. Lindsey and Altham (1998) further utilized this framework to develop an alternative model known as the beta-binomial.
Learn more about discrete distribution
brainly.com/question/30508385
#SPJ11
Last week, Shiloh owed her brother $25.50. This week, she owes him another $6.30, for a total of $31.80.
The story above can be modeled by the addition problem -25.50 + (-6.30) = -31.80. Write a related story that is modeled by the division problem -31.80 ÷ 6 = -5.30.
Answer:
Sarah had $31.80 and she owed 6 friends money.So she owes each friend $5.30.
Hope i helped please mark brainliest
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m7 = m3
Choose one:
AD || BC
DC || AB
None
The statement that can deduce the line segments to be parallel given m7 = m3 is DC || AB.
To find out if two lines are parallel we will use the concept that if a line intersects two or more lines at two angles that are congruent, then the lines are parallel. If the two angles are congruent, then the two lines are parallel.
Therefore, it means that the alternate interior angles (angles formed by a transversal intersecting two parallel lines) are congruent when two lines are parallel.
Now, looking at the given information, we see that when m7 = m3, these two angles are congruent, and they are both alternate interior angles of lines AB and DC. It implies that lines AB and DC are parallel.So, the statement that can deduce the line segments to be parallel given m7 = m3 is DC || AB.
For more question on line segments
https://brainly.com/question/280216
#SPJ8
Find the measure of 44.
H
130⁰
50°
44
130⁰
50°
44 = [?]° i’m slow someone help
Answer:
Find the measure of each angle. 1. 23. =70°. 2. 45. 5. 24. 9.48 ... Exterior. ANGLE. ¥180-50=130. 6. 213 2106°. =106°. 44-10+42=180. 44 = 148
Step-by-step explanation:
Which of the table in the image below represents a function?
Table 1
Input: 4, 3, 2
Output: 3, 2, 1
Table 2
Input: 1, 2, 3
Output: 3, 5, 7
Table 3
Input: 0, 1, 1
Output: 0, 4, 5
Table 4
Input: 4, 4, 4
Output: 1, 2, 3
Answer:
A
Step-by-step explanation:
Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true