A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1003 adults living in the United States by telephone. Of these, 462 responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering.
A) Identify the sample size and the count.
B) Calculate the sample proportion.
C) Explain the relationship between the population proportion and the sample proportion.
Answers
Answer:
Given:
n = 1003
\( p' = \frac{462}{1003} = 0.4606 \)
q = 1 - 0.4606 = 0.5394
a) The sample size and count.
Here the sample size is the number that took part in the poll. It is denoted as n = 1003.
The count is the number that answered yes. Count = 462
b) The sample proportion.
The formula for sample proportion is: \( p' = \frac{x}{n} \)
Therefore, sample proportion =
\( p' = \frac{462}{1003} = 0.4606 \)
c) The relationship between population proportion and sample proportion.
Since the sample size is greater than 30 (n>30), the sample size is large. Hence, for a large sample, the population proportion is approximately equal to the sample proportion.
This means the population proportion, p = 0.4606
Answer:
A) Sample size n=1003
Count x=462
B) Sample proportion p=0.46
C) The population proportion can be estimated with a confidence interval, with the information given by the sample proportion.
The 95% confidence interval for the population proportion is (0.429, 0.491).
Step-by-step explanation:
A) The sample size include all the adult that answer the poll. The sample size is then n=1003.
The count is the number of adults that answer Yes in this case. The count is x=462.
B) The sample proportion can be calculated dividing the count by the sample size:
\(p=\dfrac{x}{n}=\dfrac{462}{1003}=0.46\)
C) The population proportion is not known. It can only be estimated with the information given by samples of that population. The statistical inference is the tool by which the sample information can be used to estimate the population characteristics.
With the sample proportion p we can estimate a confidence interval for the population proportion.
We can calculate a 95% confidence interval.
The standard error of the proportion is:
\(\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.46*0.54}{1003}}\\\\\\ \sigma_p=\sqrt{0.00025}=0.0157\)
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
\(MOE=z\cdot \sigma_p=1.96 \cdot 0.0157=0.031\)
Then, the lower and upper bounds of the confidence interval are:
\(LL=p-z \cdot \sigma_p = 0.46-0.031=0.429\\\\UL=p+z \cdot \sigma_p = 0.46+0.031=0.491\)
The 95% confidence interval for the population proportion is (0.429, 0.491).
We have 95% that the population proportion is within this interval
Related Questions
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a? (1 point) x = the quantity of 3 plus or minus the square root of 5 all over 2 x = the quantity of negative 3 plus or minus the square root of 5 all over 2 x = the quantity of 3 plus or minus the square root of 13 all over 2 x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Answers
Answer:
Step-by-step explanation:
x² - 3x - 1 = 0
a = 1, b = -3, c = -1
x₁ = (3 + sqrt(-3² - 4(1(-1))))/(2(1))
x₁ = (3 + sqrt(9 + 4))/2
x₁ = (3 + sqrt(13))/2
x₁ = 3.302...
x₂ = (3 - sqrt(-3² - 4(1(-1))))/(2(1))
x₂ = (3 - sqrt(9 + 4))/2
x₂ = (3 - sqrt(13))/2
x₂ = -0.302...
4) →BRAINLIEST & 10+ POINTS! ← A wheel with diameter 44 cm completes four revolutions in 0.5 seconds. Find the linear speed of the edge of the wheel in cm per second. ⇒Round to the nearest whole number. Linear speed = ____ cm/s
Answers
Answer:
352 cm/s
Step-by-step explanation:
circ = 44pi
speed = distance * time
distance = circ * 4 = 176pi
speed = 176pi/0.5
Answer:
≈ 1106 cm/s
Step-by-step explanation:
linear speed = angular speed x radius of the rotation
v = ωr
v = linear speed (m/s)
ω = angular speed (radians/s)
r = radius of the rotation (m)
------------
Given:
d= 44 cm ⇒ r= 44/2 cm= 22 cmω= 4 rev/0.5 s= 8 rev/s= 8*2π/s= 16π/s (converted rev to radians)Linear speed is:
v= 22*16π cm/s ≈ 1106 cm/s (rounded to full number)From a point on a circle, two perpendicular chords are drawn. One is 6 cm from the center and the other is 3 cm from the center. Find the lengths of these chords.
Answers
Answer
the lengths of the chords are 12 cm and 6 cm
Answer:
The lengths of the chords are 12 cm and 6 cm
Step-by-step explanation:
See attached image
Hope this helps! :D
Q.5. Joseph has a small library at home that currently has 50 books. Each week, his family buys
him five books to add to the library. Which inequality can be used to find w, the number
of weeks when Joseph will have more than 125 books?
A. 50w +5 > 125
B. 5w+50 > 125
C. 50w +5 < 125
D. 5w+50 < 125
Answers
Answer:
To solve this problem, we need to set up an inequality that represents the situation where Joseph will have more than 125 books.
Let w be the number of weeks.
At the end of w weeks, Joseph will have 50 + 5w books (since he adds five books to his library every week).
To find the inequality that represents having more than 125 books, we can set up the following equation:
50 + 5w > 125
Simplifying this inequality:
5w > 75
w > 15
Therefore, the inequality that represents the situation where Joseph will have more than 125 books is:
5w + 50 > 125
The answer is B.
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
Answers
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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A bank adjusts its interest rates for new certificates of deposit daily. The table shows the interest rates on the first of the month for January through May. Find the best fitting model for the data. If this pattem were to continue, what would the interest rate be on the first of June? Month 1 2 3 4 un Rate 3.9 44 4.6 3.8 3.1 a) The best fit equation is D) The R value is : c) The interest rate on the first of July will be :: y=-0.243.12 +1.2371 + 2.92 :: y = -0.22+ 4.62 * 3.3 1.6 : 0.955 :: 0.353
Answers
Answer:
a
Step-by-step explanation:
for the first answer it’s the first equation
Answer:
Umm can you take another picture of it because i can't really see it ,
Step-by-step explanation:
Which of the following values is the solution of x/32=8?
a 24
b 40
c 256
d 4
Answers
Answer:
c) 256
Step-by-step explanation:
https://www.tiger-algebra.com/drill/x/32=8/ This link shows you how it’s done, it’s not some random link, i used the website all the time
Answer:
256
Step-by-step explanation:
Which statement is true about the solution to ?
The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answers
Answer: correct
Step-by-step explanation: The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answer: There are no real number solutions to this equation.
Which graph represents points on the polar curve r = –4sin(3θ)?
Answers
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
What are Polar coordinates?Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.
To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).
Given data ,
Let the polar curve be represented as A
Now , the polar coordinates is given as
r = -4 sin ( 3θ )
And , To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
So , on simplifying , we get
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
Hence , the polar curve is r = -4 sin ( 3θ )
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Answer:
D
Step-by-step explanation:
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
\(BC=5.1\)
\(B=23^{\circ}\)
\(C=116^{\circ}\)
Step-by-step explanation:
The diagram shows triangle ABC, with two side measures and the included angle.
To find the measure of the third side, we can use the Law of Cosines.
\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)
In this case, A is the angle, and BC is the side opposite angle A, so:
\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)
Substitute the given side lengths and angle in the formula, and solve for BC:
\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)
\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)
\(BC^2=49+9-42\cos 41^{\circ}\)
\(BC^2=58-42\cos 41^{\circ}\)
\(BC=\sqrt{58-42\cos 41^{\circ}}\)
\(BC=5.12856682...\)
\(BC=5.1\; \sf (nearest\;tenth)\)
Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:
\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)
Substitute the values of the sides and angle A into the formula and solve for the remaining angles.
\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)
Therefore:
\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)
\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)
\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)
\(B=22.5672442...^{\circ}\)
\(B=23^{\circ}\)
From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):
\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)
\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)
\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)
\(180^{\circ}-C=63.5672442...^{\circ}\)
\(C=180^{\circ}-63.5672442...^{\circ}\)
\(C=116.432755...^{\circ}\)
\(C=116^{\circ}\)
\(\hrulefill\)
Additional notes:
I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.
9/x = 27/24 find the proportional relationship
Answers
Answer: The answer is 9/8 = 27/24
The area of the rectangle is greater than 60 square feet. Identify and solve the inequality that can be used to find the possible values of x. Question 1 2(12)+2(2x−3)>60 12(2x−3)≥60 12+2x−3>60 12(2x−3)>60
Answers
Answer:
D. 12(2x − 3) > 60
ii. x > 4
Step-by-step explanation:
Area of rectangle = length x width
The length of the rectangle is 12 feet, and the width is (2x - 3) feet.
Area = 12 x (2x - 3)
= 12(2x - 3)
From the given question,
area of rectangle > 60 square feet
So that;
12(2x - 3) > 60
24x - 36 > 60
24x > 60 + 36
24x > 96
Divide both sides by 24, to have;
\(\frac{24x}{24}\) = \(\frac{96}{24}\)
x > 4
Therefore,
width = (2x -3)
since x > 4, then;
width > (2x4 - 3)
> 8 -3
width > 5 feet
Thus,
length x width > 60
You want to be able to withdraw $20,000 each year for 15 years. Your account earns 10% interest. give answer no links
Answers
Answer:
Interst is $30,000
Total Money is $50,000
Step-by-step explanation:
$20,000 x 0.10(divided by 100 since its percent) x 15 = 30,000
You earn $30,000 from interest alone
$30,000 + $20,000 = $50,000
The total amount of money you will have is $50,000
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answers
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
Calculate the distance between the points M=(-1,-1) and P=(2, -8) in the coordinate plane. Give an exact answer (not a decimal approximation).
Answers
There is no exact answer for this. The closest we can get to 58 is 7.6157, which would leave us at 57.9988. So the approximate value is 7.6, but if you need the closest answer, it’s 7.6157.
Finding the angle when given the right angle and two sides. Please show explanation. Thank you.
Answers
The measure of angle A in the right triangle is 75.52°
What is the measure of angle A?The figure in the image is a right triangle.
Measure of angle A = ?
Adjacent to angle A = 2
Hypotenuse = 8
To solve for the measure of angle A, we use the trigonometric ratio.
Note: cosine = adjacent / hypotensue
Hence:
cos( A) = adjacent / hypotensue
cos( A ) = 2/8
cos( A ) = 1/4
Take the cos inverse
A = cos⁻¹( 1/4 )
A = 75.52°
Therefore, the measure of the angle is 75.52 degree.
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Jermaine kicked a soccer ball at a speed of 24 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 24t. Determine the time the ball traveled. (1 point) t = 24 seconds t = 8 seconds t = 1.5 seconds t = 0.67 seconds
Answers
The time that the ball traveled is given as follows:
1.5 seconds.
How to obtain the time traveled by the ball?The quadratic function determining the ball's height after t seconds is given as follows:
H(t) = -16t² + 24t.
The roots of the quadratic function in this problem are given as follows:
-16t² + 24t = 0.
16t² - 24t = 0
8t(2t - 3) = 0.
Hence we apply the factor theorem as follows:
8t = 0 -> t = 0.2t - 3 = 0 -> 2t = 3 -> t = 1.5.Hence the time is given as follows:
1.5 - 0 = 1.5 seconds.
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A.150 feet
B.200 feet
C.250 feet
D.100 feet
Answers
A. 150 feet
-I hope this helps! Enjoy the rest of your day
What is the next term in the pattern 1000, 500, 250, 125, 62.5, ……
Answers
Answer:
31.25
Step-by-step explanation:
Firstly, we need to identify the pattern.
Pattern: every next number is obtained by dividing the previous number by 2.
1st number = 1000
2nd number = 1000/2 = 500
3rd number = 500/2 = 250
4th number = 250/2 = 125
5th number = 125/2 = 62.5
6th number = 62.5/ 2 = 31.25.
_______________________________________________
It can be also solved using concept of geometric progression
In GP
any nth number is given by = \(ar^(n-1)\)
where a is first number
r is the common ratio for the gp
r common ratio is calculated by = nth/(n-1)th
here r = 500/1000 = 1/2
a = 1000
next term which we need to find is 6th terms
Thus, 6th terms = \(1000*(1/2)^(6-1)\)
\(=1000/2^5\)
=1000/32 = 31.25
Question 1 of 10 Solve - 5 < 4x + 3 <= 7 x > - 2orx <= 1 B. x < - 2orx < 4 O C.-2 and x <= 1 D. x > 2 and x < 4
Answers
For the inequality -5 < 4x + 3 ≤ 7 the combined solution are x < -2 and x ≤ 1.
To solve the inequality -5 < 4x + 3 ≤ 7, we need to consider two separate inequalities:
Solve the inequality -5 < 4x + 3:
-5 < 4x + 3
Subtract 3 from both sides:
-5 - 3 < 4x
-8 < 4x
Divide both sides by 4
-8/4 > x
-2 > x
x < -2.
Now let's solve the inequality 4x + 3 ≤ 7:
4x + 3 ≤ 7
Subtract 3 from both sides:
4x ≤ 7 - 3
4x ≤ 4
Divide both sides by 4:
x ≤ 1
Therefore, the combined solution is x < -2 and x ≤ 1.
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In the diagram, the parallel lines are cut by transversal BC−→−.If BD−→− bisects ∠ABC and m∠3 = 80, what is m∠ABD?
Answers
The value of m ∠ABD will be;
⇒ ∠ ABD = 50°
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
In the diagram, the parallel lines are cut by transversal BC.
And, BD bisects ∠ABC and m∠3 = 80.
Now,
Since, The parallel lines are cut by transversal BC.
Hence, We get;
⇒ ∠ 3 + ∠ 2 = 180°
⇒ 80° + ∠ 2 = 180°
⇒ ∠ 2 = 180 - 80
⇒ ∠ 2 = 100
And, We have;
⇒ ∠ 2 = ∠ ABC
⇒ ∠ ABC = 100°
Since, BD bisects ∠ABC.
Hence, We get;
⇒ ∠ ABD = 100 / 2
⇒ ∠ ABD = 50°
Thus, The value of m ∠ABD = 50°
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A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
Answers
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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i need help Hurry!!!
Answers
Step-by-step explanation:
WX is parallel to YZ and WZ is also parallel to XY
Option C,D and E are correct.
Explanation:
In Euclidean geometry,a parallelogram is a simple quadrilateral with two pairs of parallel sides.The opposite or facing sides of a parallelogram are of equa length and the opposite angles of a parallelogram are of equal measure.
Hope this helps...
Good luck on your assignment..
What is (f−g)(x)? f(x)=3x5+6x2−5 g(x)=2x4+7x2−x+16
Answers
Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
(f-g)(x)= 3x⁵-2x⁴-x²+x-21
Step-by-step explanation:
Here we have,
Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
We know,
(f-g)(x)= f(x)-g(x)
= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)
On subtracting g(x) from f(x) we get,
(f-g)(x)= (3x⁵+6x²-5 - 2x⁴-7x²+x-16)
On simplify,
(f-g)(x) =3x⁵-2x⁴-x²+x-21
Hence,
(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21
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Find the missing length. The triangles are similar.
Answers
Answer:
RK= 13 SK= 12
Step-by-step explanation
First, we find the missing length of RK using the given information: 65-52=13
Then we divide 65 by 13 to get a scale factor: 65/13=5
(To check, we multipuly: 13*5=65)
We then apply the scale factor to MK to find SK: 60/5=12
(To check we multipuly: 5*12=60)
We now have our answers: RK:13, SK:12
Find two square numbers that total 45
Answers
x^2+^2=45
if ×=3 and y=6
then 9+36=45
2(x+7)+3(x+1) what is the answer
Answers
Answer:
5x + 17
Step-by-step explanation:
To answer this question, we must first simplify:
2 (x + 7) + 3 (x + 1) = 2x + 14 + 3x + 3
Then, we have to combine like terms:
2x + 14 + 3x + 3 = 5x + 17
And there is our answer, 5x + 17
Hope this helps ! :)
the regression model includes a random error term for a variety of reasons. which of the following is not one of them? measurement errors in the observed variables. omitted influences on y. linear functional form is only an approximation. there may be approximation errors in the calculation of the least squares estimates.
Answers
The random error term accounts for all sources of variance not included in the regression model, such as omitted influences on y or approximation errors in the calculation of the least squares estimates. Measurement errors in the observed variables are not considered.
The regression model includes a random error term to account for all sources of variance that are not included in the model. This includes omitted influences on the dependent variable, y, that could affect the outcome, or approximation errors in the calculation of the least squares estimates. The random error term also allows for the fact that the linear functional form of the model is only an approximation of the true relationship between the independent and dependent variables. Measurement errors in the observed variables, however, are not considered by the error term. Instead, these errors can be accounted for by increasing the sample size and improving the accuracy of the measurements. Additionally, the inclusion of the error term allows researchers to assess the contribution of the explanatory variables to the variation in the dependent variable and to assess the overall fit of the model.
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What is the coefficient of the third term in this expression?
n + 1 + 3m + 2k
Answers
Answer:
3 ismthe coefficient of 3m
Terry is the school swimming champion and has won several races. If the ratio of the number of times he's won to the number of races he has swum in is 2 : 3, how many races has he won?
Answers
The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.
If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.
Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:
x/y = 2/3
To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.
The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.
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