Answer:
y = - 8x
Step-by-step explanation:
Line is passing through the points (0, 0) & (100, - 800)
Slope of the line (m) = (- 800-0)/(100 - 0) = - 800/100 = - 8
y-intercept (b) = 0
Equation of line in slope-intercept form is given as:
y = mx + b
Plug the values of m = - 8 and b = 0 in the above equation, we find:
y = - 8x + 0
y = - 8x
This is the required equation of line in slope intercept form:
Find the circumference
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
diameter = 12cm
radius(r) = diameter ÷ 2radius(r) = 12 ÷ 2radius(r) = 6cmC = 2πr= 2 × 22/7 × 6Circumference = 37.7 cmSignificant correlations are not able to indicate ______. Group of answer choices the strength of the effect causality the size of the effect the probability level
Significant correlations are useful statistical tools for identifying relationships between variables, but they are not able to indicate causality.
While they can demonstrate the strength of the effect through the correlation coefficient, the size of the effect by examining the magnitude of the relationship, and the probability level by evaluating the likelihood that the observed relationship occurred by chance, they cannot prove that one variable directly causes changes in another variable.
Correlations can only show that two variables are related, but they do not provide information about the nature of that relationship. It is important to remember that correlation does not imply causation. There might be other factors, known as confounding variables, that affect both variables and create the appearance of a relationship where none truly exists.
To determine causality, researchers must conduct controlled experiments where they manipulate the independent variable and observe the effect on the dependent variable, while holding all other factors constant. This allows them to isolate the cause-and-effect relationship between the two variables and draw more accurate conclusions.
In summary, while significant correlations can provide valuable information about the strength, size, and probability level of the relationship between variables, they cannot establish causality. To determine if one variable truly causes changes in another, controlled experiments must be conducted.
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What is the length of AB, written in simplest radical form and what is the perimeter of the triangle?
Answer:
AB = 3√3;P = 2√5 + 3√3 + √7.-------------------------
AB is the missing hypotenuse of the right triangle with shown legs.
Find AB using Pythagorean theorem:
\(AB=\sqrt{AC^2+BC^2}\)\(AB = \sqrt{(2\sqrt{5} )^2+(\sqrt{7})^2}=\sqrt{4*5+7}=\sqrt{27}=3\sqrt{3}\)Find the perimeter:
P = AC + BC + ABP = 2√5 + 3√3 + √7A number from 1-72 is chosen at random. Find probably that number is odd or at most 16
The probability of the number being odd or at most 16 is 11/18, or approximately 0.61.
To solve this problem, we need to find the probability of the number being odd or at most 16. Let's first find the probability of the number being odd:
There are 36 odd numbers from 1 to 72 (1, 3, 5, ..., 71). Since the number is chosen at random, each number has an equal probability of being chosen. Therefore, the probability of the number being odd is:
P(odd) = number of odd numbers from 1 to 72 / total number of numbers from 1 to 72
= 36 / 72
= 1/2
Now, let's find the probability of the number being at most 16:
There are 16 numbers from 1 to 16 (1, 2, 3, ..., 16). Therefore, the probability of the number being at most 16 is:
P(at most 16) = number of numbers from 1 to 16 / total number of numbers from 1 to 72
= 16 / 72
= 2/9
To find the probability of the number being odd or at most 16, we need to add the probabilities of these two events and subtract the probability of their intersection (i.e., the probability of the number being both odd and at most 16). Since the set of odd numbers from 1 to 72 and the set of numbers at most 16 from 1 to 72 are disjoint, their intersection is the empty set, and its probability is 0. Therefore:
P(odd or at most 16) = P(odd) + P(at most 16) - P(odd and at most 16)
= 1/2 + 2/9 - 0
= 11/18
So the probability of the number being odd or at most 16 is 11/18, or approximately 0.61.
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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.
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identify the constant term in this expression. 25x + 9y + 20 + 2y
Answer:
20
Step-by-step explanation:
constant is the term with no variables attached
multiple the following
\( \frac{18}{15} \times \frac{25}{12} \)
Answer:
5/2
Step-by-step explanation:
(18/15)*(25/12)=(18*25)/(15*12)=450/180=5/2
Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x
x=
Based on the centroid theorem, the value of x is: 2.5.
What is the Centroid Theorem?The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.
Given:
BD = 4x + 5
BF = 9x
Thus:
BD = 2/3(BF)
Substitute4x + 5 = 2/3(9x)
4x + 5 = 6x
4x - 6x = -5
-2x = -5
x = 5/2
x = 2.5
Therefore, based on the centroid theorem, the value of x is: 2.5.
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grandfathers age is 4 times abduls age. 10 years ago his age was 7 times abduls age. find their present ages
Answer:
20,80
Step-by-step explanation:
\(Let\ Abduls\ present\ age\ be\ x\\His\ Grandfather's\ present\ age\ = 4x\\\\Abdul's\ age\ before\ 10\ years=x-10\\His\ Grandfather's\ age\ before\ 10\ years =4x-10\\\\We\ are\ given\ that\ ,\\Abdul's\ Grandfather's\ age\ before\ 10\ years = 7 * Abdul's\ age\ before\ 10\ years\\Hence, \\4x-10=7(x-10)\\4x-10=7x-70\\-10+70=7x-4x\\60=3x\\x=20\\Hence,\\Abduls\ present\ age\ =20\\His\ grandfather's\ present\ age\ = 4*20=80\)
Answer:
Abdul's age=20 y/o
Grandpa's age=80y/o
Step-by-step explanation:
let Abdul's age be 'x'
so, grandpa's age=4x
Grandpa's age 10 yrs ago= 4x-10
according to the question, grandpa's age 1o yrs ago=7(x-10)
so, 4x-10=7(x-10)
4x-10=7x-70
by substituting,
70-10=7x-3x
60=3x
60/3=x
20y/o=x
so, 4x=20*4=80 y/o
I need the answer for both questions btw its 1 problem I'll give you brainlist if you get it correct i need it asap
Answer:
1.) B (Real Numbers)
2.) A
Step-by-step explanation:
koras electric bill this month was 72% of her bill from the previous month. if her bill last month was $168.50 what is her electric bill this month
$121.32
$125.76
$132.08
$134.26
Answer:
121.32 Option # 1
Step-by-step explanation:
168.5 * 0.72 = 121.32
Jaya bought 20 lemons for ₹10 and sold at 5 for three rupees.
i) Find the selling price of 20 lemons.
ii) Find the amount of loss or profit she gets.
iii) Find percentage of loss or profit she gets.
i) Selling price of 20 lemons is ₹12.
ii) The profit is ₹2.
iii) The profit percentage is 20%.
i) Jaya bought 20 lemons for ₹10, which means the cost of one lemon is 10/20 = ₹0.50.
If she sells 5 lemons for ₹3, the selling price of one lemon is 3/5 = ₹0.60.
Therefore, the selling price of 20 lemons is 20 x ₹0.60 = ₹12.
ii) The cost price of 20 lemons is ₹10, and the selling price is ₹12.
So, the profit is ₹12 - ₹10 = ₹2.
iii) The profit percentage is calculated as (Profit/Cost price) x 100%.
In this case, the profit is ₹2 and the cost price is ₹10.
So, the profit percentage is (2/10) x 100% = 20%. Therefore, Jaya made a profit of 20% by selling lemons.
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Math radio is having a promotion. Every 9th caller gets a math t-shirt and every 12th caller gets a math hat. Which caller will be the first to win both prizes?
Answer:
36
Step-by-step explanation:
LCM
9,18,27,36
12,24,36
The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own cup compared with customers who drink coffee. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all espresso purchases and 50 receipts from all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. For coffee purchases, 24 receipts showed the customer used their own cup.
Required:
Based on the 99% confidence interval, (â€"0.13, 0.37), is the coffee shop owner’s claim justified?
As given, the 99% confidence interval is (-0.13, 0.37).
To check if the coffee shop owner's claim is justified, we can check if the confidence interval contains zero. If it does, then we cannot reject the null hypothesis (the claim), and if it doesn't, then we reject the null hypothesis.
In this case, the interval (-0.13, 0.37) contains zero, hence we cannot reject the null hypothesis at a 99% level of confidence. Therefore, we can say that there is not enough evidence to support the owner's claim that customers who drink espresso are less likely to use their own cup compared with customers who drink coffee.
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Please describe what the absolute value inequality | x-0 |
c²+2cd-15d²/4c²+20cd
The expression you provided is:
(C² + 2cd - 15d²) / (4c² + 20cd)
To simplify this expression, we can factor the numerator and denominator if possible, and then cancel out any common factors:
Numerator: C² + 2cd - 15d²
The numerator does not appear to be factorable.
Denominator: 4c² + 20cd
We can factor out a common factor of 4 from each term:
4(c² + 5cd)
Now we can simplify the expression by canceling out the common factors:
(C² + 2cd - 15d²) / (4c² + 20cd) = (C² + 2cd - 15d²) / 4(c² + 5cd)
Therefore, the simplified expression is (C² + 2cd - 15d²) / 4(c² + 5cd).
An arc has a length of about 15.708 inches and a measure of 100 degrees. Calculate the area of the circle to which the arc length comes from. PLEASE SHOW WORK AND HURRY!
write a story pleasee marking brainiest!
Answer:
2. a^3+2^3=24
1. Jack has 24 pieces of candy and divided them into groups of 3. He put 2 pieces in each group. How many more are in each group?
Step-by-step explanation:
im not sure if this is correct but i tried sorry.
PLEASE HELP
Which of the following are solutions to the equation below?
CHECK ALL THAT APPLY.
(image attched
Answer:
C
Step-by-step explanation:
√(3x-5)²=√19
3x-5=√19
3x=√19+5
\(x= \frac{ \sqrt{19} + 5 }{3} \)
An art museum had two hundred ninety-two pictures to split equally into seven different
exhibits. How many more pictures would they need to make sure each exhibit had the
same amount?
Answer:
2
Step-by-step explanation:294/7=42
Lorie correctly determines that for the triangles below, the statement Triangle N M O is similar to triangle T S R and the statement Triangle N M O is similar to triangle T R S both describe the relationship between the two triangles. Triangle M N O. Angle M is 54.4 degrees and angle N is 71.2 degrees. Triangle R S T. Angle R is 54.4 degrees and angle T is 71.2 degrees. Which best describes why both similarity statements are correct? Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S. Each triangle has two similar angles: Angle M is similar to angle O and Angle R is similar to angle S. The triangles each have two given angle measures and one unknown angle measure. All statements, regardless of the order of the vertices, define the same triangles.
Answer:
(A)Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S.
Step-by-step explanation:
In Triangle MNO
\(\angle M = 54.4$ degrees, \angle N = 71.2$ degrees\\\angle M+\angle N+\angle O=180^\circ\\54.4^\circ+71.2^\circ+\angle O=180^\circ\\\angle O=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ\)
In Triangle RST
\(\angle R = 54.4$ degrees, \angle T = 71.2$ degrees\\\angle R+\angle T+\angle S=180^\circ\\54.4^\circ+71.2^\circ+\angle S=180^\circ\\\angle S=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ\)
Therefore:
Triangle NMO is congruent to triangle TSR; and
Triangle NMO is congruent to triangle TRS
This is because
\(\angle M \cong \angle O =54.4^\circ; and\\ \angle R \cong \angle S =54.4^\circ .\)
The correct option is A.
Answer:
A
Step-by-step explanation:
Just did the test.
Find the slope of the following equation: y = 5 - 2.x
Answer:
y = 52
Step-by-step explanation:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Combine 52 5 2 and x x . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 52 .
A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?
Answer:
Height is 5.3 inches.
Step-by-step explanation:
2* base + 2*height = 35.8
2*12.6 + 2h = 35.8
h = (35.8 - 2(12.6) / 2
= (35.8 - 25.2) /2
= 10.6 / 2
= 5.3 inches.
Answer:
5.3inStep-by-step explanation:
The formula of a perimeter of a rectangle:
\(P=2(l+w)\)
l - length
w - width
We have
\(P=35.8in\\l=12.6in\)
Substitute:
\(35.8=2(12.6+w)\) divide both sides by 2
\(\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}\)
\(17.9=12.6+w\) subtract 12.6 from both sides
\(17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)\)
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field
Answer:
As a fraction = \(\dfrac{30}{100}\)
As a decimal = 0.3
Step-by-step explanation:
Recall that: The total yard of a football field = 100 yards
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,
As a fraction;
Tristan run can be represented as = number of run from goal-line/ total length of the field
= \(\dfrac{30}{100}\)
As a decimal= 0.3
Which expression is equivalent to 0.2n + 2n + 4?
6.2n
2.2n + 4
4n + 4
2.2(n+4)
Answer:
2.2 (n+4)
Step-by-step explanation:
Write the recursive formula for 5, 15, 30, 50...........
A recursive sequence is a sequence in which terms are defined using one or more previous terms that are given.
If you know the term n of an arithmetic sequence and you know the common difference, d, you can find the term \((n + 1)\) by tossing the recursive formula to \(n + 1 = a \ n + d\)
We have then:
\(5, 15, 30, 50\)
\(an = (\dfrac{5}{2} ) \times (n) \times (n + 1)\)
Answer:
the recursive formula for 5, 15, 30, 50, is:
an = (5/2) x (n) x (n + 1)
X and y are int variables. True/False a/b/c/d) 4. Suppose that X and y are i nt variables. Which of the following is a valid input statement? b.cin >>x>>y; d.cout<
Among the given options for input statements involving int variables X and y, the valid option is b) cin >> x >> y.
This statement uses the extraction operator (>>) to read input values and assign them to the variables x and y consecutively. The extraction operator allows for multiple inputs in a single line, separated by spaces or other delimiters.
This statement ensures that two integer values can be entered and stored correctly in the variables x and y. The extraction operator (>>) is commonly used with the cin object in C++ for input operations. It facilitates convenient and efficient input handling for multiple variables in a single statement.
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we are going to make a part from 1045hr. the yield strength of 1045hr provided from our supplier has a mean value of 414 mpa and a std. dev of 85 mpa. what is the probability that the equivalent strength of this part will be between 439 mpa and 544 mpa?
The probability that the equivalent strength of the part will be between 439 MPa and 544 MPa is approximately 0.3231
The probability that the equivalent strength of the part made from 1045hr will be between 439 MPa and 544 MPa can be determined using the properties of the normal distribution.
First, we need to standardize the values using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
For 439 MPa:
z1 = (439 - 414) / 85 = 0.2941
For 544 MPa:
z2 = (544 - 414) / 85 = 1.5294
Next, we can find the probability associated with each z-value using a standard normal distribution table or a statistical software.Using the standard normal distribution table, we can find the area to the left of z1, which is approximately 0.6151, and the area to the left of z2, which is approximately 0.9382.
To find the probability between these two values, we subtract the smaller area from the larger area:
P(439 ≤ x ≤ 544) = 0.9382 - 0.6151 = 0.3231
Therefore, the probability that the equivalent strength of the part will be between 439 MPa and 544 MPa is approximately 0.3231 or 32.31%.
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your annual caseloads for 1994 and 1995 were 750 and 820, respectively. the percent change from 1994 to 1995 would be computed by which of the following methods?
The percent change from 1994 to 1995 can be computed by which of the following methods.
The percent change from 1994 to 1995 would be computed by the following
Formula: Percent Change = ((New Value - Old Value) / Old Value) x 100Where,
Old Value = Annual caseloads in 1994 = 750
New Value = Annual caseloads in 1995 = 820
Let's put these values into the formula and calculate the percent change.
Percent Change = ((820 - 750) / 750) x 100
Percent Change = (70 / 750) x 100
Percent Change = 0.093 x 100
Percent Change = 9.3%
Therefore, the percent change from 1994 to 1995 would be 9.3%.
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Solve the given equation for z and right the correct answer 4z + 9 = 29