The correlation coefficient, r, that represents a strong, but not perfect, linear association between two variables are equal to the r = - 0.85,0.9. So, right choice for answer is option (a) and (d).
The correlation coefficient is defined for measure a relation between two variables which is a quantitative type. There are several types of correlation coefficients, but the most commonly used is the Pearson's correlation coefficient. It is used in linear regression models.
Range set for the correlation coefficients is [-1.00, +1.00].The strongest correlation is considered when the value is closest to +1 (positive correlation) or -1 (negative correlation), but strong and perfect correlation is obtained when r = 1 or -1. The positive, negative and zero correlation coefficient indicates the relationship between variables.Now, we have some values of 'r' are available and we have to check for which have strong but not perfect linear association or correlation between two variables. When r = 1, shows strongest and perfect correlation. For r = 0.9 and -0.85 are the closest to 1 and -1 respectively, so correlation is strong but not perfect. For r = 0.10 and 0.15 are the not close to 1 and -1 respectively, so correlation is weak and not perfect here. Hence, required value is r = -0.85, 0.9.
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Kamal’s goal was to save $180 for a trip.
In the first week, Kamal saved $26 from his allowance and $34 from his job. He spent $6 for lunch one day and another $3 on the bus.
Hana said, Kamal will be able to save $54 in the first week.
a- Is Hana correct? What error did she make?
Answer:
Hana is wrong
Step-by-step explanation:
savings=26+34
=60
savings left after spending=60-6-3
=51
Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse. Give an exact answer and a two-decimal place
approximation
a=6, C =18
The exact apswer is:
The two decimal place approximation is (Round two decimal places if needed):
Answer:
16.97
Step-by-step explanation:
Therefore b= 16.97
a computer store sells six different computers four different monitors five different printers and three different multimedia packages how many different computer systems are available?
please help this is urgent
Answer:
Im pretty sure its 18.
Step-by-step explanation:
Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are \(n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3\), and the number of systems is:
\(N = 6 \times 4 \times 5 \times 3 = 360\)
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Evaluate the expression for k = -2
46 + -2k
Enter only the simplified numerical value after substituting the
value for the variable and doing the math.
Please help will give brainiest
Answer:
heres your answer hope this hepls
i need brainliest for level up please
The tensile strength of a metal part is normally distributed with mean 40 lb and standard deviation 5 lb. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35 lb tensile strength? How many would have a tensile strength in excess of 48 lb?
We can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.
We can use the standard normal distribution to solve this problem.
The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the normal distribution of the tensile strength to the standard normal distribution using the formula below.z = (x - μ) / σwhere x is the tensile strength, μ is the mean, and σ is the standard deviation.
a) To determine the number of parts that are expected to fail to meet a minimum specification limit of 35 lb tensile strength, we need to find the probability that a part has a tensile strength less than 35 lb. z = (35 - 40) / 5 = -1P(z < -1) = 0.1587
The probability of a part having a tensile strength of less than 35 lb is 0.1587. Therefore, the number of parts expected to fail to meet a minimum specification limit of 35 lb tensile strength is given by: Number of parts = Probability × Total number of parts= 0.1587 × 50,000= 7935b)
(b) To determine the number of parts that have a tensile strength over 48 lb, we need to find the probability that a part has a tensile strength greater than 48 lb. z = (48 - 40) / 5 = 1.6P(z > 1.6) = 0.0548
The probability of a part having a tensile strength greater than 48 lb is 0.0548. Therefore, the number of parts that have a tensile strength over 48 lb is given by: Number of parts = Probability × Total number of parts= 0.0548 × 50,000= 2740
Therefore, we can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.
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i need help with this, graphing
Answer:
30 baloons per hourStep-by-step explanation:
Use some points on the graph:
(0, 0), (2, 60), (4, 120), (8, 240)The graph is a line passing through the origin, so this is a proportional relationship.
Standard form of such relationship is
y = kx, where k- coefficient of proportionalityUsing one of the coordinate pairs find the value of k
60 = 2kk = 60/2k = 30This is indicating the number of baloons filled per hour is 30.
The revenue function for a sound system is R(x) = 500x - x^2 dollars where x denotes the number of units sold. (a) What is the expression that gives marginal revenue? (b) What is the marginal revenue if 50 units are sold? What does it mean? a. R(x) is decreasing. b. R(x) is constant. c. R(x) is increasing. (c) What is the marginal revenue if 400 units are sold? What does it mean? a. R(x) is decreasing. b. R(x) is constant. c. R(x) is increasing. (d) What is the marginal revenue if 250 units are sold?
Answer: 13 units
Step-by-step explanation:
a) The expression that gives marginal revenue is R'(x) = 500 - 2x.
b) If 50 units are sold, the marginal revenue can be calculated by substituting x = 50 in the expression of marginal revenue. R'(50) = 500 - 2(50) = 400 dollars. This means that by selling one more unit after 50 units, the revenue will increase by 400 dollars.
c) If 400 units are sold, the marginal revenue can be calculated by substituting x = 400 in the expression of marginal revenue. R'(400) = 500 - 2(400) = -300 dollars. This means that by selling one more unit after 400 units, the revenue will decrease by 300 dollars. Therefore, R(x) is decreasing.
d) If 250 units are sold, the marginal revenue can be calculated by substituting x = 250 in the expression of marginal revenue. R'(250) = 500 - 2(250) = 0 dollars. This means that by selling one more unit after 250 units, the revenue will remain constant. Therefore, R(x) is constant.
The revenue function for a sound system is given by R(x) = 500x - x^2 dollars where x denotes the number of units sold. Marginal revenue is the additional revenue generated by selling one more unit. It is obtained by finding the derivative of the revenue function, which is given by R'(x) = 500 - 2x.
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Suzie has good handwriting, so she should write the message on the birthday card for grandma.
claim(s):
reasoning:
conclusion:
since the water i spilled on the porch is now frozen, it must be colder than 32 degrees fahrenheit.
claim(s):
reasoning:
conclusion:
think about it
how are arguments used in political campaigns?
Arguments are a key component of political campaigns. They are used to convince voters to support a particular candidate or issue. Political campaigns often make claims, which are statements that assert a fact or belief. These claims are backed up by reasoning, which is the evidence or explanation that supports the claim. The conclusion is the result of the reasoning and supports the overall argument.
For example, a candidate may claim that they have a plan to improve the economy. The reasoning may be that the candidate has experience in business and has implemented successful economic policies in the past. The conclusion is that if the candidate is elected, they will be able to improve the economy.
Political campaigns also use arguments to attack opponents and discredit their claims. They may use reasoning to point out flaws in their opponent's plans or past actions. The conclusion is that the opponent is not fit for office and voters should not support them.
Overall, arguments are a crucial tool in political campaigns. They are used to persuade voters and shape public opinion. Successful candidates and campaigns are often those that can make the most convincing arguments and win over the most supporters.
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Bryan went to the hardware store and bought 5 identical copper pipes. When Bryan lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?
Answer:
hhehehehehheehehe
Step-by-step explanation:
hehehehehhee
PLEASE help me (30 points!!!!!!) I will give brainliest so please help me please
An investment grows according to the function A=P(1.05)t where P represents the initial investment, A represents the value of the investment and t represents the number of years of investment. If $10,000 was the initial investment, how much would the value of the investment be after 10 years to the nearest dollar?
Answer:
105,000 dollars
Step-by-step explanation:
According to your formula, we just mulitply 10,000 times 10 times 1.05 and we get 105,000.
Which equation is in standard form? 3x 4y = 10 19 3y = 2x 7yâ’7x=8 8 5x = 3y.
The equation is in standard form is \(\rm 3x + 4y = 10\)
We have to determineWhich equation is in standard form?
According to the question
The standard form of Equation;The standard form of the equation of the line is;
\(\rm Ax+By = C\)
Where A, B, and C are the constant terms.
And x and y are the two variables.
An equivalent system refers to another system that has the same values for the variables, or it's satisfied by the same values.
Therefore,
The equation is in standard form is;
\(\rm 3x + 4y = 10\)
Hence, The equation is in standard form is \(\rm 3x + 4y = 10\).
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Exercise 1: Which of the following is not an equation
(1) 2x + 3 = 10
(2) 3+2 = 5
(3) 3(2x + 1)
(4) 1+ 4 = 10
Answer:
(3) 3(2x +1 )
Step-by-step explanation:
For (1), (2), and (4), all of them give an answer while (3) does not which means that (3) is not an equation.
hey there,
given that √7569= 87,then the value of √7569 + √75.69 is ________
Answer:
95.7
Step-by-step explanation:
Given that \(\sqrt{7569}=87\) we're in search for the value of \(\sqrt{7569} +\sqrt{75.69}\).
Simplify the square roots.
\(\sqrt{7569} +\sqrt{75.69}\)
\(87 + 8.7\)
Now when we add we get 95.7 or 96 rounded to the nearest tenth.
one thousand two hundred and seventy deer are living on an island that is eight hundred and thirty square kilometers in size. what is the population density of the deer per square kilometer?
Attendance at baseball games
Total pieces of food eaten 57 153 90 food percentage* % % % simulated number of birds in flock for 2nd generation** * divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** multiply the food percentage for each flock by the total number of birds (30).
The food percentage would be 19%, 51% and 30%.
Given that we've done it
Number of meals consumed by X = 57
Food consumed by Y = 153.
Number of meals consumed by Z = 90
Total amount of meals consumed = 57 + 153 +90 = 300
Food proportion of flock X thus Equals 57 / 300 * 100 = 19 %
flock food percentage Y =153/300 * 100 = 51 %
flock food percentage Z = 90/300 * 100 = 30 %
This means that the percentages are 19%, 51%, and 30%.
Based on the given information, we have:
Flock X ate 57 pieces of food.
Flock Y ate 153 pieces of food.
Flock Z ate 90 pieces of food.
The total number of pieces of food eaten is 300 (sum of the individual flock's food).
The food percentage for Flock X is 57/300 ≈ 0.19 or 19%.
The food percentage for Flock Y is 153/300 ≈ 0.51 or 51%.
The food percentage for Flock Z is 90/300 = 0.3 or 30%.
The total number of birds for the second generation is 30 (given).
To find the simulated number of birds in each flock for the second generation, we multiply the food percentage for each flock by the total number of birds (30).
For Flock X: 0.19 × 30 = 5.7 (rounded to the nearest whole number: 6 birds)
For Flock Y: 0.51 × 30 = 15.3 (rounded to the nearest whole number: 15 birds)
For Flock Z: 0.3 × 30 = 9 (rounded to the nearest whole number: 9 birds)
Therefore, the simulated number of birds in Flock X, Flock Y, and Flock Z for the second generation are 6, 15, and 9 birds, respectively.
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Complete Question
Flock X Flock Y Flock z Total Pieces of Food Eaten 57 153 90 Food Percentage* % 1% % Simulated Number of Birds in Flock for 2nd Generation ** * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30). DONE
Answer:
19 51 30
6 15 9
second part Is Y then X
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (3, 3) to (7,−5) that partitions the segment into a ratio of 5 to 3
Answer:
The coordinates of the point is (5.5, -2)
Step-by-step explanation:
Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3
Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;
Let’s call the point dividing the line in the given ratio z.
The coordinates of Z is;
{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}
In this question (x1,y1) = (3,3)
While (x2,y2) = (7,-5)
while a:b = 5:3
Substituting these values into the coordinate equation for point z, we have ;
{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}
= {44/8 , -16/8} = {5.5, -2}
X2−3x−10 ( x - 4 ) ( x + 2 ) ( x - 4 ) ( x + 2 ) ( x - 5 ) ( x + 2 ) ( x - 5 ) ( x + 2 ) ( x + 8 ) ( x - 1 ) ( x + 8 ) ( x - 1 ) ( x - 6 ) ( x + 2 )
Answer:
(x+2)(x-5)
Step-by-step explanation:
Given the expression X^2−3x−10, we are to factorize it;
On factorizing;
= x² - 5x + 2x - 10
= x(x-5) + 2(x - 5)
= (x+2)(x-5)
Hence the factored form of the expression is (x+2)(x-5)
What is a variable called that can only be 1 or 0?
Answer:Binary Variable
Step-by-step explanation:Binary variable: a variable that can only take on two values, usually 0/1.
Evaluate the expression "12 - (-36) / -6"
Answer:
ah bbhgggvgujjbgg
hhhjj
5x + 2 = x – 10 help
Answer:-3/4
Step-by-step explanation:
5x+2=x-1
5x-x=-1-2
4x=-3
X=-3/4
If you roll a die once, what is the probability that the outcome is
even given the outcome is greater than 3.
Answer:
1/2.
Step-by-step explanation:
There are 6 sides on a dice, there are 3 numbers greater than 3.
3/6 = 1/2.
please helpppppppppp
Answer:
wrdfrdfrDFDFDFzfsdfffq
Step-by-step explanation:
dfdfgdf d f df
Use Laplace transforms to solve the initial value problem. 2,, y″ + y = f(t), y(0) = 0, y′(0) = −1, where f(t) =
{2, , 0 < T ≤ 2
{0, , t > 2
The initial value problem, 2y″ + y = f(t), y(0) = 0, y′(0) = −1, where f(t) is defined as {2, 0 < t ≤ 2, 0, t > 2}, can be solved using Laplace transforms.
To solve the initial value problem using Laplace transforms, we first take the Laplace transform of the given differential equation. Applying the Laplace transform to the equation, we get 2s²Y(s) + Y(s) = F(s), where Y(s) and F(s) are the Laplace transforms of y(t) and f(t) respectively.
Next, we substitute the initial conditions y(0) = 0 and y′(0) = −1 into the transformed equation. Using the Laplace transform property for initial value conditions, we have Y(s) = Y(s) - 1/s.
Simplifying the equation, we can express Y(s) in terms of F(s) as Y(s) = F(s) / (2s² + 1) + 1/s.
Finally, we need to take the inverse Laplace transform of Y(s) to obtain the solution y(t). The inverse Laplace transform of F(s) / (2s² + 1) can be determined using partial fraction decomposition, and the inverse Laplace transform of 1/s is simply a ramp function.
Thus, by taking the inverse Laplace transform of Y(s), we can obtain the solution y(t) for the given initial value problem.
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What is the area of the figure shown?
Check the picture below.
now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.
so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.
\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}\)
Ray Flagg took out a 60-month fixed installment loan of $12,000 to open a new pet store. He paid no money down and began making monthly payments of
$221.
Ray's business does better than expected and instead of making his
30th
payment, Ray wishes to repay his loan in full. Complete parts a) through
c).
Answer:
Since the question is incomplete, I looked for similar questions:
a) determine apr of installment loan
b) how much interest will Ray save by paying off the loan early
c) what is the total amt due to pay off the loan?
a) first we will determine the effective rate:
PV annuity factor = loan / monthly payment
PV annuity factor = $12,000 / $221 = 54.2986
Using an annuity table, knowing that the number of periods is 60, we can see that the interest rate is 0.333%.
APR = 0.333% x 12 = 4%
b) I prepared an amortization schedule to determine Ray's balance after the 29th payment.
After the 29th payment, Ray's balance will be $6,498.54
in order to pay off the debt completely, he needs to pay $6,498.54 + $22.32 in interests = $6,520.86.
He will be able to save $331 in interests
c) $6,520.86
For every 1 ft = 2,54 centimeters.
If you measured 4 feet from point A to point B on a map, how many centimeters will that be?
Answer:
10.16 cm
Step-by-step explanation:
1ft=254
4ft= x
so cross multiply
than the answer will be 10.16cm
Answer:
10.16 centimeters
Step-by-step explanation:
I'm not 100% sure because its super late where I live so I might have messed up . . . but I'm pretty sure its right.
Hope This helps!!
Sorry if it is wrong!!
i need help and it would be great if someone could answer most of them please
Answer:
\(h=6\\k=2.5\\n=3\sqrt{10}\\m=\sqrt{21}\\p=\sqrt{17}\)
Step-by-step explanation:
All of the triangles in this problem are right triangles. This means that all of them contain a right angle, this is indicated by the box around one of the angles. The Pythagorean theorem is a property of the sides of a right triangle, this property, in the form of an equation, is as follows,
\(a^2+b^2=c^2\)
Where (a) and (b) are the legs, that is, the sides that are adjacent to the right angle of a right triangle. The parameter (c) represents the hypotenuse, the side opposite the right angle of a right triangle. For each triangle, substitute the given side lengths, simplify, and solve for the unknown side.
\((h)^2+(8)^2=(10)^2\\h^2+64 = 100\\h^2=36\\h=6\)
\((k)^2+(6)^2=(6.5)^2\\k^2+36=42.25\\k^2=6.25\\k=2.5\)
\((n)^2+(\sqrt{10})^2=(10)^2\\n^2+10=100\\n^2=90\\n=\sqrt{90}\\n=3\sqrt{10}\)
\((m)^2+(2)^2=(5)^2\\m^2+4=25\\m^2=21\\m=\sqrt{21}\)
\((p)^2+(\sqrt{68})^2=(\sqrt{85})^2\\p^2+68=85\\p^2=17\\p=\sqrt{17}\)
Malia has $500 to purchase water bottles and pairs of socks for a fundraiser for her school’s cross-country team. She needs to buy a total of at least 200 items without buying too many of just one item. What graph shows the possible numbers of water bottles and pairs of socks that Malia should buy?