Answers
Answer:
The answer is 13.2
Step-by-step explanation:
d = 10
e = 3.2
d + e = 10 + 3.2 = 13.2
Thus, The answer is 13.2
Related Questions
the regression equation is Y = 29.29 -0.88X, the sample size is 25, and the standard error of the slope is 0.22.
Answers
The test statistic for the test of whether the slope is of zero is given as follows:
t = -20.
How to calculate the test statistic?The equation that gives the test statistic is given as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which the parameters are defined as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The value tested of the slope is of:
[tex]\mu = 0[/tex]
The regression line in this problem is of y = 29.29 - 0.88x, hence the mean slope is of:
[tex]\overline{x} = -0.88[/tex]
The standard error and the sample size are given as follows:
s = 0.22, n = 25.
Then the test statistic is calculated as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-0.88 - 0}{\frac{0.22}{\sqrt{25}}}[/tex]
t = -20.
Missing InformationThe problem asks for the test statistic regarding whether the slope assumes a value of zero or different of zero.
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model cutting and sewing finishing packaging and shipping profit/glove regular model 1 1/2 1/8 $5 catcher's model 3/2 1/3 1/4 $8
Answers
The inequality of each model cutting, sewing finishing packaging and shipping profit
The maximum value = 5x + 8y
1R + 3/2 C ≤ 900
1/2 R + 1/3 C ≤ 300
1/8 R + 1/4 C ≤ 100
R, C ≥ 0
Consider x be the number of regular model of gloves to be produced
y be the catcher’s model of gloves to be produced
The maximum value = 5x + 8y
Then the inequality will be
The inequality of Cutting and Sewing
1R + 3/2 C ≤ 900
The inequality of Finishing
1/2 R + 1/3 C ≤ 300
The inequality of Packaging and Shipping
1/8 R + 1/4 C ≤ 100
R, C ≥ 0
Therefore, the inequality of each model cutting, sewing finishing packaging and shipping profit has been found
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Find the point in the first quadrant where the line y = 4 x intersects a circle of radius 5 centered at the origin.
Answers
The graph of the point of intersection is given below.
The point of intersection.
(5/√17, 20/√17) and (-5/√17, 20/√17)
What is a circle?A circle is a two-dimensional figure with a radius and circumference of
2πr.
The equation of a circle is x² + y² = r²
We have,
The equation of a circle
x² + y² = r²
r = 5
x² + y² = 25 ______(1)
The line.
y = 4x _____(2)
Now,
The line intersects the circle.
The point of intersection.
x² + (4x)² = 25
x² + 16x² = 25
17x² = 25
x = √(25/17)
x = ± 5/√17
x = 5/√17 and x = -5/√17
Now,
At x = 5/√17,
y = 4 x 5/√17
y = 20/√17
At x = -5/√17,
y = 4 x 5/√17
y = 20/√17
Thus,
The point of intersection.
(5/√17, 20/√17) and (-5/√17, 20/√17)
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The change in temperature after y minutes for a chemical in a lab can be represented by the expression −4(y − 3). Which other expression can be used to represent the change?
Answers
Other expression can be used to represent the change in temperature after y minutes is -4y + 12.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
The distributive property is a( b + c) = ab + ac.
Given expression that represents the change in temperature after y minutes for a chemical in a lab can be represented by the expression −4(y − 3).
Given expression is
-4(y - 3)
Applying distributive property:
= -4 × y - (-4)×3
= -4y + 12
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If you want to invest $20,000 in a no-load mutual fund with a 6.5% yield, how much will you earn each year?
Answers
If you want to invest $20,000 in a no-load mutual fund with a 6.5% yield then 1300 we earn each year.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The amount to invest is $20,000
Twenty thousand is the investment
and 6.5% is the yield.
We need to find how much we earn in each year.
Convert 6.5% to decimal
6.5/100=0.065
Multiply 0.065 with the 20000
0.65×20000
1300
Hence, we earn 1300 each year as an interest.
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The vertex form of the quadratic function f(x) = -6x² - 60x - 151 is
f(x)= a(x - h)² + k.
What is the value of a?
What is the value of h?
What is the value of k?
Answers
This is one way of writing a quadratic function:
[tex]f(x)= a(x-h)^2+k[/tex]
(h,k) = vertexa = vertical stretchSolving the QuestionWe're given:
[tex]f(x) = -6x^2 - 60x - 151[/tex]
To write a quadratic function in vertex form, we must complete the square.
⇒ Put parentheses around the first two terms containing x and x²:
[tex]f(x) = (-6x^2 - 60x) - 151[/tex]
⇒ Factor out -6 (keeping the x's in the parentheses):
[tex]f(x) = -6(x^2+10x) - 151[/tex]
⇒ To complete the square, add, inside the parentheses, the square of half the coefficient of x.
⇒ In this case, the coefficient of x is 10.⇒ Half of this value is 5.⇒ The square of 5 is 25.⇒ Add this inside the parentheses:[tex]f(x) = -6(x^2+10x+25) - 151[/tex]
⇒ Now, we cannot randomly introduce a new value into a function. To balance the +25, subtract -6(25) outside the parentheses:
[tex]f(x) = -6(x^2+10x+25) - 151-(-6*25)\\f(x) = -6(x^2+10x+25) - 151-(-150)\\f(x) = -6(x^2+10x+25) - 151+150\\f(x) = -6(x^2+10x+25) - 1[/tex]
⇒ Finally, complete the square.
Remember: [tex](a+b)^2=a^2+2ab+b^2[/tex]In this case, a is x, and b is 5:[tex]f(x) = -6(x+5)^2 - 1[/tex]
Answer[tex]f(x) = -6(x+5)^2 - 1[/tex]
a = -6h = -5h = -1How to subtract fractions with different denominators?
Please explain step by step to get marked as brainliest!!
Answers
STEP ONE: Get a common denominator.
STEP TWO: Add or subtract the numerators.
STEP THREE: Simplify the result if needed. Notice that eg: 3/27 can be simplified, since the numerator and denominator are both divisible by 3.
And that's all there is to it! Final Answer
help meeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeeeeeee
Answers
The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433
a. Estimate the number of students studying abroad in 2003.
The function is given as:
y = 123(1.065)^x
Where x represents years from 1998 to 2013
2003 is 5 years from 1998.
This means that
x = 5
Substitute the known values in the above equation
y = 123(1.065)^5
Evaluate the exponent
y = 123 * 1.37008666342
Evaluate the product
y = 168.520659601
Approximate
y = 169
Hence, the estimate of the number of students studying abroad in 2003 is 169
b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.
2018 is 20 years from 1998.
This means that
x = 20
Substitute the known values in the above equation
y = 123(1.065)^20
Evaluate the exponent
y = 123 * 3.52364506352
Evaluate the product
y = 433.408342813
Approximate
y = 433
Hence, the estimate of the number of students studying abroad in 2018 is 433
customers is equally likely to report a food allergy, what is the probability that at least one customer will report a food allergy?
Answers
The probability that at least one client will have a food allergy is 0.6323 and the percentage of customers who will have a food allergy is 0.08.
What is probability?
The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.
As given in the question,
The percentage of customers who will have a food allergy is 0.08
At Ying Ying's bakery,
121 people place orders on a single day.
We can utilize the binomial distribution if we believe that each of the 12 clients has an equal probability of reporting a food allergy.
Formula for Binomial probability distribution:
P(X=x)=ⁿCₓ pˣ (1-p)ⁿ⁻ˣ
Here, P(x) = probability of getting success in x trials, n= sample size ,p = represents the probability that each event will succeed.
As given, we have
n = 12
p=0.08
Let x is the client will have a food allergy.
Following that, the probability that at least one client will have a food allergy will be:
P(x≥1) = 1 - P(x<1)
= 1 - P(x=0)
= 1 - ¹²C₀(0.08)⁰(1 - 0.08)¹²⁻⁰
= 1 - (1)(0.12)¹²
= 1 - 0.3677
= 0.6323
Hence , the probability that at least one client will have a food allergy will be 0.6323 when the percentage of customers who will have a food allergy is 0.08.
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Complete Question
When a customer places an order at Ying Ying's bakery, there is an 8\%8%8, percent probability that the customer will report a food allergy. One day, 121212 customers place orders at Ying Ying's bakery.
Assuming that each of the 121212 customers is equally likely to report a food allergy, what is the probability that at least one customer will report a food allergy?
The null and alternate hypotheses are: H0: π1 ≤ π2 H1: π1 > π2 A sample of 100 observations from the first population indicated that x1 is 70. A sample of 150 observations from the second population revealed x2 to be 90. Use the 0.05 significance level to test the hypothesis.
H0 is rejected if z > ?
Compute the pooled proportion
compute the value of the test statistic
Answers
The pooled proportion is [tex]\bar{p}[/tex]=0.64.
The value of test statistic is z=1.614.
What is meant by null hypothesis?In statistical tests, which are formal procedures for drawing inferences or taking choices based on data, two different sorts of conjectures are employed: the null hypothesis and the alternative hypothesis. Based on a sample of the population, the hypotheses are suppositions regarding a statistical model of the population. In order to distinguish between statistical noise and scientific claims, tests, which are fundamental components of statistical inference, are frequently utilized in the interpretation of scientific experimental data. The null hypothesis presupposes that any variation between the selected attributes you observe in a set of data is the result of chance. For instance, if the predicted profits from the gambling game genuinely equal zero, then any discrepancy between the data's average profits and zero results from chance.
Given,
The pooled proportion is:
[tex]\bar{p}[/tex]=(X₁+X₂)/(n₁+n₂)
=(70+90)/(100+150)
=160/250
=0.64
Therefore, the pooled proportion [tex]\bar{p}[/tex]=0.64.
The value of test statistic is:
Test statistic=0.1/0.062
=1.614
Therefore, the value of test statistic is z=1.614.
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Answer: I added a bit more answers the one that answers your question is underlined.
a. Reject H0 when z>1.65
b. p=0.64
c. z=1.614
d. We reject the null hypothesis
Step-by-step explanation:
b. p=[tex]\frac{70+90}{100+150} =\frac{160}{250}=0.64[/tex]
c. z=[tex]\frac{0.70-0.60}{\sqrt{0.64(1-0.64)\sqrt{\frac{1}{100}+\frac{1}{150} } } }[/tex]=1.614
A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S
(
t
)
=
37
+
16
e
−
0.04
t
, where t
is the time (in years) since the stock was purchased. Find the average price of the stock over the first eight years.
Answers
The average price of the stock over the first eight years is 50.69 units / year .
Given :
A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function :
S ( t ) = 37 + 16 e^0.04t.
We find the average value of the stock ,
[tex]f_{ave} =1/b-a \int\limits^8_0 {f(x)} \, dx[/tex]
[tex]f_{ave} =1/8-0 \int\limits^8_0 {S (t)} \, dx[/tex]
[tex]f_{ave} =1/8( \int\limits^8_0 {37} \, dt + \int\limits^8_0 {16e^{(0.04t) \, dt[/tex]
= 37 / 8 ( 8 - 0 ) - 1 / 0.02 ( [tex]e^{-0.04 * 8 }[/tex] - [tex]e^{-0.04 * 0[/tex])
= 50.69 units / year.
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Zachary bought 3 cartons of x eggs. He used 6 to make a cake. He then used the remaining eggs equally to make 2 pies. Draw a bar model to show how many eggs were used in each pie.
Answers
Answer:
Step-by-step explanation:
an element of material is subjected to the following state of stress: , , , and . determine the following:
Answers
The obtained stress which is acting from every direction is at 45 degree.
The transformation equations will be used to calculate the stresses acting on an inclined element.
(σ x+σ y )/2 =75 MPa
(σ x-σ y )/2 =35 MPa
Tor xy = 28 MPa
sin 2θ = sin 90° = 1
cos 2θ = cos 90° = 0
Substituting these values into Eqs
σ x1 =(σ x+σ y )/2+ (σ x-σ y )/2 cos2θ+ τxy sin2θ
= 130 MPa
τ x 1 y 1 = (σ x-σ y )/sin2θ + τxy cos2θ
σ y 1= (σ x+σ y )/2- (σ x-σ y )/cos2θ+ τxy sin2θ
= 47Mpa
Elements of stress
We can easily obtain the stresses acting on all sides of an element oriented at = 45° from these results.
The arrows indicate the true directions of the stresses. Take special note of the shear stress directions, which all have the same magnitude. Also, keep in mind that the sum of the normal stresses remains constant at 150 MPa.
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The graph on the left shows the parabola y=x2. What parabola does the graph on the right depict?
y-axis
0
2
x-axis
sixe-A
x-axis
Assessment
Answers
Answer:
y=x^2 + 1
Step-by-step explanation: the second parabola is only raised by 1 unit up, therefore the entire function shifts upwards by 1.
In 2010, the U.S. Congress passed the Tax Relief, Unemployment Insurance Reauthorization, and Job Creation Act of 2010. The act reduced the self-employment tax rate from 15.3% to 13.3%. Estimate the reduction in self-employment tax for an individual whose taxable earnings totaled $50,319.
Answers
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
please help me!!! this is due tomorrow
Answers
Answer:
Below
Step-by-step explanation:
Multiply L number and Bottom number ...then add the R number to get the top number
? = 100 - (3*24) = 28
Find the perimeter in centimeter
Answers
Answer: 210
Step-by-step explanation:
Angle M has a measure of 47°. What is the measure of angle PNL? 43° 47° 86° 94°
Answers
As angle M has a measure of 47°, then the measure of angle PNL is 43°
To find: the measure of ∠ PNL .
To proof
As given
∠ M = 47°
In ΔLMN
If the two sides of a triangle are equal and you use the property, the diagonals are also equal.
As given MN = LN
∠ M =∠ L = 47°
and ∠ MPN = 90 °
∠ MPN + ∠ NPL = 180° (Linear pair)
∠ NPL = 180° - 90°
∠ NPL = 90°
Now by using the angle sum property of a triangles.
in Δ NPL
∠NPL +∠PNL + ∠NLP = 180°
90 + 47 + ∠PNL = 180
137+ ∠PNL = 180
∠PNL = 180 - 137
∠PNL = 43 °
Therefor the Measure of angle PNL is 43°.
Hence proved
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Henry owns a food truck that sells tacos and burritos. He only has enough supplies to make 100 tacos or burritos. He sells each taco for $3 and each burrito for $5. Henry must sell no less than $360 worth of tacos and burritos each day. Also, he must sell no less than 20 tacos. If x represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answers
A system of linear inequalities to describe this situation are as follows;
x + y ≤ 100
3x + 5y ≥ 360
x ≥ 20
The system of inequalities has been solved graphically and one possible solution is selling 20 tacos and 80 burritos.
How to write and solve the system of inequalities graphically?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of tacos sold and number of burritos sold respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of tacos sold.Let the variable y represent the number of burritos sold.Since Henry only has enough supplies to make 100 tacos or burritos, we have;
x + y ≤ 100
Also, Henry sells each taco for $3 and each burrito for $5 and must sell no less than (at least) $360 worth of tacos and burritos each day
3x + 5y ≥ 360
Lastly, Henry must sell no less than (at least) 20 tacos;
x ≥ 20
In conclusion, you should use a graphing calculator to plot the system of linear inequalities as shown in the image attached below.
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I need help with this 2. Please help.
Answers
Answer:
[tex]m\angle BDC = 68\textdegree[/tex]
Step-by-step explanation:
Using the given information, we can deduce that angles BDC and ADC are supplementary; their measures add to 180°.
This can be represented by the following equation:
[tex](-7x + 12)\textdegree + (-8x+48)\textdegree = 180\textdegree[/tex]
First, solve for x.
[tex]-15x\textdegree + (12 + 48)\textdegree = 180\textdegree[/tex]
[tex]-15x \textdegree = (180 - 60) \textdegree[/tex]
[tex]-15x\textdegree = 120\textdegree[/tex]
[tex]x\textdegree = -8\textdegree[/tex]
[tex]x = -8[/tex]
Then, substitute x into the expression for BDC.
[tex]m\angle BDC = (-7x+12)\textdegree[/tex]
[tex]m\angle BDC = (-7(-8) + 12)\textdegree[/tex]
[tex]m\angle BDC = (56 + 12)\textdegree[/tex]
[tex]m\angle BDC = 68\textdegree[/tex]
Consider the equation 6 x + 3 y = 9. Which equation, when graphed with the given equation, will form a system with infinitely many solutions? y + 2 x = 3 y + 2 x = 9 y = 2 x + 3 y = negative 2 x + 9
Answers
After solving the equation, the system which has infinitely many solutions will be equal to 2x + y = 3. Hence, option A is correct.
What is a graph?In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.
Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.
As per the given equation in the question,
6x + 3y = 9 (i)
The system for infinitely many solutions will be,
Divide the equation (i) by three,
(6x + 3y)/3 = 9/3
2x + y = 3
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Answer:
A) y + 2x = 3
Step-by-step explanation:
Function is g(x)=|x+3| can you find the domain and range? 100 points!
Answers
The domain and range of the given function is -
Domain : (- ∞, + ∞) or -∞ < x < +∞
Range : [0 ∞) or 0 ≤ y < +∞
What is modulus function? What is a mathematical equation? What do you mean by domain and range of a function?The modulus function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. We can write the modulus function as -|x| = x | x ≥ 0
|x| = -x | x < 0
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have the following function -
g(x) = |x +3|
Refer to the graph attached. It can be seen that -
Domain : (- ∞, + ∞) or -∞ < x < +∞
Range : [0 ∞) or 0 ≤ y < +∞
Therefore, the domain and range of the given function is -
Domain : (- ∞, + ∞) or -∞ < x < +∞
Range : [0 ∞) or 0 ≤ y < +∞
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A few stores have windows with one solid wall and two glass sides forming a triangular display space called ____________windows
Answers
A few establishments have what are known as Corner windows, which are triangle display spaces with one solid wall and two glass sides.
Given fill-in-the-blank;
A few stores have windows with one solid wall and two glass sides forming a triangular display space called ______ windows.
The solution for the above statement is Corner windows.
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Let p be the probability that, in the process of repeatedly flipping a fair coin, one will encounter a run of 5 heads before one encounters a run of 2 tails. Given that p can be written in the form m/n where m and n are relatively prime positive integers, find m+n.
Answers
The value of m+n is 37.
Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. The range for probability varies from 0 to 1.
Let A signify the flipping of the head, and let B signify the flipping of the tail. The event ends when we get 5 heads or 2 tails while flipping.
Then, the outcomes are given by AAAAA, BAAAAA, BB, ABB, AABB, AAABB, AAAABB. The probability of getting a head is 1/2 and a tail is 1/2. The probability of the possible outcomes is 1/32, 1/64, 1/4, 1/8, 1/16, 1/32, and 1/64.
The outcomes with five heads are AAAAA and BAAAAA. The sum of the probabilities of getting 5 heads is,
[tex]\begin{aligned}\frac{1}{32}+\frac{1}{64}&=\frac{2+1}{64}\\&=\frac{3}{64}\end{aligned}[/tex]
And, the sum of all the outcomes is, [tex]\begin{aligned}\frac{1}{32 }+ \frac{1}{64}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}&=\frac{2+1+16+8+4+2+1}{64}\\&=\frac{34}{64}\end{aligned}[/tex]
Let p is the probability that a run of 5 heads will occur before a run of 2 tails. The desired probability p is,
[tex]\begin{aligned}p&=\frac{\text{number of event}}{\text{total outcome}}\\&=\frac{\frac{3}{64}}{\frac{34}{64}}\\&=\frac{3}{34}\end{aligned}[/tex]
Given, p is of the form m/n. So, m is 3 and n is 34. Then, m+n=3+34=37.
The answer is 37.
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If BCDE is congruent to OPQR, Then DE is congruent to what? A. QR B. PQ C. OP D. OR
Answers
If BCDE is congruent to OPQR, then DE is congruent to QR .
Congruence means the same point on two different shapes , like parallels
so BC is congruent to OP
and
DE is congruent to QR
In plain English, two objects are said to be congruent if they overlap, i.e., have the same size and shape. If two angles have the same measure, they are said to be congruent. They are congruent if the sides' lengths line up.
Two triangles are said to be congruent if their sides and angles are an exact match.
Conditions for Congruence of Triangles:
SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Right angle-Hypotenuse-Side)To learn more about congruence
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design and implement an application that reads in a set of values in the range of 1 to 100 (yes, you should error check for this) and then creates a chart showing how often the values appeared. the chart should look like the one below and should show how many values fell in the range of 1-10, 11-20, 21-30, and so on.
Answers
Sample Output: Code to copy: //Import the required package. import java.util.Scanner; //Define the class Main. class Main { //Start the execution of the main() method.
Code of Origin:Origin C is a programming language that is ANSI C compatible and also incorporates C++ and C# features. The majority of Origin objects can be accessed programmatically thanks to built-in C++ classes. The NAG C Library's extensive collection of numerical computational routines is also included.
C, a replacement for the programming language B, was initially created by Ritchie at Bell Labs between 1972 and 1973 to create utilities for Unix. It was used to re-implement the Unix operating system's kernel. C increasingly gained popularity in the 1980s.
import java.io.*;
import java.util.Scanner;
public class histogram
{
public static void main(java.lang.String[] args)
throws IOException
{
Scanner scan = new Scanner (System.in);
final int min = 1;
final int max = 10;
final int limit = 10;
int[] a = new int[max];
for (int b = 0; b < a.length; b++)
{
a[b] = 0;
}
System.out.println("Enter Number between 1 and 100: \n (Or press 0 to stop)");
int number = scan.nextInt();
while (number >= min && number <= (limit*max) && number != 0)
{
a[(number-1)/limit] = a[(number - 1 ) / limit] + 1;
System.out.print("Please enter a value:");
number = scan.nextInt();
}
System.out.println("\n__Histogram__");
for (int y = 0; y < a.length; y++)
{
System.out.print(" " + (y * limit + 1) + " - " + (y + 1) * limit + "\t");
return;
}
for (int z = 0; z < a[b]; z++)
{
System.out.print("*");
}
System.out.println(0);
}
}
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A researcher would like to know the effect of education on income and has hypothesized that the higher one's education, the more income they are likely to get. Here is the data:
years of education
family income level
16
89000
16
16000
8
20000
10
8400
6
11000
16
85000
15
24000
14
56000
13
45000
12
98000
13
23000
10
20000
10
4500
14
13000
12
65000
16
80000
12
55000
13
95000
10
3500
Based on your calculations from previous questions, what is the regression coefficient?
Answers
The parameter (the regression coefficient) indicates the degree to which the line slopes upwards or downwards by indicating the amount by which a change in x must be multiplied by the corresponding average change in y, or the amount by which y changes for each unit increase in x.
Understanding Linear Regression Coefficients, A positive coefficient indicates that the mean of the dependent variable tends to rise in tandem with an increase in the independent variable's value. A negative coefficient indicates that the dependent variable tends to decrease as the independent variable rises.
In a regression model, the statistical measure known as R-Squared (also known as R2 or the coefficient of determination) is used to figure out how much of the variance in the dependent variable can be explained by the independent variable. In other words, the goodness of fit, or r-squared, measurement indicates how well the data fit the regression model.
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what numbers do you need to determine the surface area of a right cone?; what numbers must you know to find the surface area and volume of a sphere?; find the volume of the sphere with a great circle of radius 7 cm.; given a regular pentagon with radius 5, and each side of length 6, find the area of the pentagon.
Answers
1) To determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.
2) To determine the surface area and volume of a sphere, we must know the radius of the sphere.
3) The volume of the sphere with a great circle of radius 7 cm is 1436.75 cubic centimeters
4) The area of a regular pentagon with radius 5, and each side of length 6 is 45 square units
To determine the surface area of a right cone:
The formula for the surface area of a right cone is,
A = πr[r + √(h² + r²)]
this means, to determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.
To find the surface area and volume of a sphere:
The formula for the surface area of sphere is,
A = 4πr²
and the formula for the volume of sphere is,
V = 4/3 πr³
This means, to determine the surface area and volume of a sphere, we must know the radius of the sphere.
For a sphere with radius r = 7 cm the volume would be,
V = 4/3 * π * 7³
V = 1436.75 cubic centimeters
Now we need to find the area of a regular pentagon with radius 5, and each side of length 6.
The formula for the area of a regular pentagon is:
A = 1/2 × P × a
where 'p' is the perimeter of the pentagon and 'a' is the apothem of a pentagon.
The perimeter of the pentagon is:
P = 5 * side lengths
P = 5 * 6
P = 30 units
We know that an apothem of a regular polygon is a radius of the inscribed circle.
From given dimensions, a = 5 units
so, the area of a regular pentagon would be,
A = 1/2 × 30 × 5
A = 45 square units
Therefore, the area of a regular pentagon is 45 square units
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Richard and Elizabeth both bought a used car on the same day. Richard's used car
has 3,896 miles on it already, and he drives 238 miles per month. Elizabeth's car has
5,345 miles on it already, and she drives 187 miles per month. After how many
months will each car have the same number of miles on it?
Part 1:
What two equations represent this system of equations?
Part 2:
How many months will it take for both Richard and Elizabeth's cars to have the same
number of miles?
Answers
1. The two equations that represent this system of equations include
3896 - 238m
5345 - 187m
2. The months that it will it take for both Richard and Elizabeth's cars to have the same number of miles will be 28.4 months.
How to illustrate the equations that represents the information?Given that Richard's used car has 3,896 miles on it already, and he drives 238 miles per month. The equation will be:
3896 - 238m
Elizabeth's car has 5,345 miles on it already, and she drives 187 miles per month. The equation will be:
5345 - 187m
where m = number of months
The months that it take for both Richard and Elizabeth's cars to have the same number of miles will be:
3896 - 238m = 5345 - 187m
Collect like terms
51m = 1449
m = 1449 / 51
m = 28.4 months
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Here are the first four terms of a sequence. -1 4 9 14 Write an expression for the n th term of this sequence.
Answers
Answer:
The nth term is aₙ = 5n - 6-------------------------------------
Given sequence:
-1, 4, 9, 14, ...We observe that it has a linear increase and common difference of terms is 5:
4 - (-1) = 9 - 4 = 14 - 9 = 5So d = 5, a₁ = - 1, find the nth term:
aₙ = a₁ + (n - 1)daₙ = - 1 + (n - 1)*5 = - 1 + 5n - 5 = 5n - 6