Answer:
researcher B with 15 participants will be associated with a larger standard error
Step-by-step explanation:
Standard error can be expressed mathematically as;
E = zr/√n ......1
Where
z = z value of test statistics
r = standard deviation
n = number of samples
From equation 1, given that the standard deviation and the z value for the two researchers are thesame, then we can say;
E = zr/√n
E = k/√n
E1/E2 = √(n2/n1)
n1 = 25
n2 = 15
E1/E2 = √(15/25)
E1/E2 = 0.774596669241
E1 = 0.77E2
Therefore, E1 is less than E2
E1 < E2
And also the larger the number of samples the lower the standard error.
Since researcher B have a lower number of samples it will have a larger standard error.
So, researcher B with 15 participants will be associated with a larger standard error
root( x-1 ) = 2 - root (x+3)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]\sqrt{x-1} =2-\sqrt{x+3}[/tex]
Square both sides.
[tex]\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2[/tex]
[tex]x-1=x+7-4\sqrt{x+3}[/tex]
Subtract x on both sides.
[tex]x-1-x=x+7-4\sqrt{x+3}-x[/tex]
[tex]-1=-4\sqrt{x+3}+7[/tex]
Subtract 7 on both sides.
[tex]-1-7=-4\sqrt{x+3}+7-7[/tex]
[tex]-8=-4\sqrt{x+3}[/tex]
Square both sides.
[tex]\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2[/tex]
[tex]64=16x+48[/tex]
Subtract 48 on both sides.
[tex]64-48=16x+48-48[/tex]
[tex]16=16x[/tex]
Divide both sides by 16.
[tex]\frac{16}{16} =\frac{16x}{16}[/tex]
[tex]1=x[/tex]
Switch sides.
[tex]x=1[/tex]
Find the equation of the line passing
through the points (3, 3) and (4, 5).
y = [? ]x + [
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
D.
Step-by-step explanation:
As long as the function's largest power is two, it is a quadratic function.
a. (3x - 2)(4x + 7)
= 12x^2 - 8x + 21x - 14
The largest power is 2. This is a quadratic function.
b. 7x^2 + 8x
The largest power is 2. Quadratic function.
c. (2x - 1)^2
= 4x^2 - 4x + 1
Largest power is 2. Quadratic function.
d. 8x^4- 3x^3 + 5x^2
Largest power is 4. Non-quadratic function.
Hope this helps!
Joe takes out a 30-year fixed rate amortized loan for 220,000, and makes equal size payments at the end of each month. The rate is quoted as being an annual nominal interest rate of 5.25% compounded monthly and Joe also has to pay closing fees equal to 5% of the value of the loan. Based on this information, find the actual interest rate realized by Joe (i.E. Taking into account the loan given to Joe and the 5% that he pays for the closing fees). Give the value as an annual nominal rate compounded monthly, and round your percent answer to two decimal places.
Answer:
Annual Interest Rate, r = 5.69%
Step-by-step explanation:
Amount of loan taken = 220,000
Closing fee is 5% of the loan value
Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000
Therefore, Principal, P = Loan amount + closing fee
P = 220000 + 11000
P = 231, 000
Annual rate, r= 5.25% = 0.0525
Monthly rate, i = 0.0525/12 = 0.004375
Time, n = 30 years = 30*12 = 360 months
The monthly payment will be calculated by:
[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59[/tex]
Assuming payments are made based on 220,000, let us calculate the monthly interest rate.
[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229[/tex]
Annual rate, r = 12 * 0.0047429
r = 0.0569 = 5.69%
A town's population is currently 5,000. If the population doubles every 95 years, what will the
population be 380 years from now?
help with this question please
Answer:
Emily had $24 to begin with.
Fred had $21 to begin with.
Step-by-step explanation:
We know that both Emily and Fred gave Gary, who had no money, a total of $15. We also know that now they have the same amount of money (they all have $15). We simply have to add the values each person gave to Gary:
Emily: 15 + 9 = 24
Fred: 15 + 6 = 21
What is the Greatest common divisor of 378 and 420?
Answer:
42
Step-by-step explanation:
When calculating the greatest common divisor, you must look for the smallest divisors that can divide the no. s given simultaneously.
So in this case the smallest divisor will be 2.
378 =189. 420 =210
2. 2
The next divisor that 189 and 210 can both be divided with is 3
189 =63. 210 =70
3. 3
The third smallest divisor that can 63 and 70 can be divided with is 7
63 =9. 70 =10
7. 7
9 and 10 have no common divisors that can divide them fully without leaving a remainder
So to get the greatest common divisor, multiply all the divisors you have used
In this case we've used 2,3,7
2x3x7= 42
The population of Oregon is about 4,000,000 what is the order of magnitude of this number? A) 6 B) 4 C) 3 D) 7
Answer:
A
Step-by-step explanation:
Here, we are tasked with finding the order of magnitude.
What we are basically asked here is to write the number in powers of ten.
Thus
4,000,000 = 4 * 10^6
We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6
in the given figure angle 1 is equal to angle 2 then the measurements of angle 3 and angle 4 are
Answer:
(3) = 119
(4) = 119
Step-by-step explanation:
Given isosceles triangle with vertex angle 58.
Need exterior angles of base angles 1 & 2.
Solution:
Vertex angle = 58.
Base angle = x
Sum of triangles = 180 =>
x + x + 58 = 180
Solve for x
x = (180-58)/2 = 122/2 = 61
Exterior angles are supplementary to interior (base) angles, so
(3) = 180-(1) = 180 - 61 = 119
(4) = 180-(2) = 180 - 61 = 119
* note: supplementary means sum of two angles = 180.
The measurements of angle 3 and angle 4 are 119degrees and 119degrees respectively.
The sum of the interior angle of the triangle is 180degrees.
According to the diagram shown:
m<1 + m<2 + 58 = 180
Since <1 = <2, hencce:
m<1 + m<1 + 58 = 180
2m<1 = 180 - 58
2m<1 = 122
m<1 = 122/2
m<1 = 61 degrees
Since <1 = <2, thereofore m<3 = m<4
Get the measure of m<3
m<1 + m<3 = 180 (supplementary angles)
61 + m<3 = 180
m<3 = 180 - 61
m<3 = 119 degrees
Recall that m<3 = m<4, hence m<4 = 119degrees
The measurements of angle 3 and angle 4 are 119degrees and 119degrees respectively.
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Given: Line A B intersects Line D E at point C. Prove: AngleDCB Is-congruent-toAngleECA Line D E intersects line B A at point C. A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem. What is the missing reason in step 5? linear pair postulate given definition of complementary angles congruent complements theorem
Answer:
The missing reason in step 5 is;
The linear pair postulate
Step-by-step explanation:
The information given are;
Column 1, Column 2
Statements, Reasons
Line AB intersect DE at C, Given
∠DCB and ∠BCE are linear pair, Definition of linear pair
∠DCB is supplementary to ∠BCE, Linear pair postulate
∠BCE and ∠ECA are linear pair, Definition of linear pair
∠BCE is supplementary to ∠ECA, Linear pair postulate
∠DCB ≅ ∠ECA, Congruent to supplementary theorem
Therefore, the missing reason in step 5 is the linear pair postulate.
Answer:
itS A
Step-by-step explanation:
If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in the feet, of the park?
Answer:
The length is 600 ft
Step-by-step explanation:
We can use the Pythagorean theorem since we know the diagonal which is the hypotenuse and the width
a^2 + b^2 = c^2
450 ^2 + b^2 = 750^2
b^2 = 750^2 - 450^2
b^2 =562500-202500
b^2 =360000
Taking the square root of each side
sqrt(b^2) = sqrt(360000)
b =600
use the figure and given information below. Show the calculations that lead to your results. Given: Polygon ROTFL ~ Polygon SUBAG Perimeter of ROTFL is 52. a) Find m∠G. (1 pt) b) Find AG. (2 pts) c) Find the perimeter of Polygon SUBAG. (2 pts)
Answer:
a) [tex]\angle G = 125^\circ[/tex]
b) AG = 15 units
c) Perimeter of polygon SUBAG = 78 units
Step-by-step explanation:
Given:
Polygon ROTFL ~ Polygon SUBAG
Similar polygons mean they have similar angles and the ratio of corresponding sides and ratio of their perimeter are equal.
Part A:
Given that
[tex]m\angle R = 100^\circ\\m\angle O = 120^\circ\\m\angle T = 75^\circ\\M\angle L = 60^\circ[/tex]
[tex]m\angle L+M\angle L = 180^\circ\\\Rightarrow m\angle L=180-60=120^\circ[/tex]
Sum of all interior angles of a pentagon is [tex]540^\circ[/tex]
[tex]m\angle R+m\angle O+m\angle T+m\angle F+m\angle L=540^\circ\\\Rightarrow 100+120+75+m\angle F+120=540^\circ\\\Rightarrow m\angle F=125^\circ\\[/tex]
Due to similarity property of the two pentagons, [tex]\angle F =\angle G = 125^\circ[/tex]
Part B:
Ratio of corresponding sides is equal.
Given the sides SU = 12, RO = 8 and FL = 10 units respectively.
[tex]\dfrac{SU}{RO}=\dfrac{AG}{FL}\\\dfrac{12}{8}=\dfrac{AG}{10}\\\Rightarrow AG = 15\ units[/tex]
Part C:
Ratio of corresponding sides must be equal to ratio of perimeter of the two polygons:
[tex]\dfrac{RO}{SU} = \dfrac{\text{perimeter of ROTFL}}{\text{perimeter of SUBAG}}\\\Rightarrow \dfrac{8}{12} = \dfrac{52}{\text{perimeter of SUBAG}}\\\Rightarrow \text{perimeter of SUBAG} = 52 \times 1.5\\\Rightarrow \text{perimeter of SUBAG} = 78\ units[/tex]
So, the answers are:
a) [tex]\angle G = 125^\circ[/tex]
b) AG = 15 units
c) Perimeter of polygon SUBAG = 78 units
What conclusion can you make from the information below?
Three people (Jack, Karen, and Louis) drive three different types of cars
(Ford, Chevrolet, Honda).
• Jack does not drive a Chevrolet.
• Karen does not drive a Chevrolet,
A. Louis drives a Chevrolet
B. Jack drives a Honda
C. Karen does not drive a Ford.
D. Louis does not drive a Chedly let.
M
Answer:
A.louis drive a chevolet
Step-by-step explanation:
from the question three different people drive different cars . since two out of the three people has been excluded from driving a particular car i.e the third person is the one driving Chevrolet
plz help forgot how to do this
Answer:
the true statements are A. The range for this function is the set (-5) D. The domain for this function is the set(-5)
Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one sentence summary comparing the blue line to the black line. Hint: Find the y-intercept. Then count up and over (y/x) to the next point on the line to determine the slope.
Answer:
y=1/2x+2(2 is the y-intercept)
The blue line and black line have the same y-intercept, but the black line has a slope 1/6 greater than the blue line.
Hope it helps <3
Answer:
[tex]\boxed{y=\frac{1}{2} x+2}[/tex]
Step-by-step explanation:
Let's take any of the coordinates of blue line to find the slope
The coordinates are (4,4) and (0,2)
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{2-4}{0-4}[/tex]
Slope = [tex]\frac{-2}{-4}[/tex]
Slope = m = 1/2
Y-intercept = b = 2 (Because here x= 0)
So, the slope intercept equation becomes:
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{1}{2} x+2[/tex]
The Venn diagram below shows the numbers of students in a class who had curry (C) and salad (S) at lunch. A student is chosen at random. Find P(C U S)
Answer:
Step-by-step explanation:
hello,
how many students ? 14 + 2 + 5 +3 = 24
how many students who had C and S ? 14 + 2 + 5 = 21
so P(C∪S)=21/24=(7*3)/(8*3)=7/8
hope this helps
Which graph represents the scenario? PLEASE HELP VERY EASY
Answer:
The answer is option B.
The second graph.
Hope this helps you
What is the slope of the function, represented by the table of values below?
Answer:
b.) -4
Step-by-step explanation:
rise/run so its 8/2
The slope of a function will be -4. Then the correct option is B.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall, and the difference between the abscissa is called run.
Slope = (y₂ - y₁) / (x₂ - x₁)
Take two point from table.
(-2, 13) and (3, -7)
(x₁, y₁) = (-2, 13)
(x₂, y₂) = (3, -7)
Then the slope of a function will be
Slope = (–7 – 13) / (3 + 2)
Slope = –20 / 5
Slope = –4
Then the correct option is B.
More about the slope link is given below.
https://brainly.com/question/3605446
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Helppp!!!! please!!!
Answer:
I. (x - 6)² + (y + 7)² = 121
Step-by-step explanation:
Given a circle with coordinates of the center as (6, -7), and with a diameter of 22, equation of the circle is given below using the standard equation formula of a circle:
Formula => (x - a)² + (y - b)² = r²
Where,
a = 6
b = -7
r = radius of circle = ½ of diameter = ½ of 22 = 11
Thus, plug in the above values into the standard equation formula:
(x - 6)² + (y - (-7))² = 11²
(x - 6)² + (y + 7)² = 121
Our answer, which is the equation of the circle is I. (x - 6)² + (y + 7)² = 121
two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is the sum of the factors? -19, -13 13 or 16
Answer:
-19
Step-by-step explanation:
-19 is the absolute value of 19
hope this helps
Answer:
sum = +13
Step-by-step explanation:
The possible factors of 48 are
{1,2,3,4,6,8,12,16,24,48}
Of these, the pair 3,16 gives a sum of 19 and a product of 48.
We are given that 16 (greater absolute value) is positive, so 3 is negative.
The sum of the two is therefore 16-3 = 13
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 1 and one-fourth + one-half A number line going from negative 3 to 0 in increments of one-fourth. Negative 1 and three-fourths Negative 1 and one-half Negative three-fourths Negative one-half
Answer:
C. Negative three-fourths
Step-by-step explanation:
Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:
-1 1/4 + 1/2
Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:
-5/4 + 1/2
Taking the LCM of the expression
= (-5+2)/4
= -3/4
Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths
Answer:
-3/4
Step-by-step explanation:
-1 1/4 +1/2
-5/4 + 2/4
-3/4
Factorize: 9(2a – b)^2 – 4(2a – b)
Answer:
(2 a - b) (18 a - 9 b - 4)
Step-by-step explanation:
Factor the following:
9 (2 a - b)^2 - 4 (2 a - b)
Factor 2 a - b out of 9 (2 a - b)^2 - 4 (2 a - b):
(2 a - b) (9 (2 a - b) - 4)
9 (2 a - b) = 18 a - 9 b:
Answer: (2 a - b) (18 a - 9 b - 4)
Question 20 PLEASE HELP Tell whether the equation: -x+4y=-5 represents a direct variation
Answer:
no, it does not
Step-by-step explanation:
Hello
-x+4y=-5
so
[tex]4y = x-5\\<=> y=\dfrac{1}{4}x-\dfrac{5}{4}[/tex]
we say that y varies directly with x if y=kx
in this example we have an additional constant, the graph is not a line through the origin so this is not a direct variation
hope this helps
What are the coordinates of point B on Line AC such that AB is 3 times as long as BC? (Screenshots supplied to clarify)
Answer:
B(3.5, 0.5)
Step-by-step explanation:
Given:
A(5,5), Xa=5, Ya=5
C(3,-1), Xc=3, Yc=-1
To find point B, we can use the partition rule, where AB = 3BC, so AB occupies k=3/4 of the distance AC.
B(x,y) = ((1-k)Xa+kXc, (1-k)Ya+kYc)
=(Xa/4+3Xc/4, Ya/4+3Yc/4), substitute values
=(5/4+3*3/4, 5/4+3*(-1)/4)
=(14/4,2/4)
=(3.5, 0.5)
Answer:
(3.5, 0.5) or A
Step-by-step explanation:
Got it right
A producer has fixed expenses of $980 to put on a 3-day production of a play. Each ticket to the play will be sold for $5.00. The line shows the net profit or loss of the producer based on selling x tickets. What is the minimum number of tickets the producer must sell over the 3-day period in order to earn a profit?
Answer:
196 tickets
Step-by-step explanation:
The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:
5x ≥ 980
Dividing through by 5:
x ≥ 980
x ≥ 980/5
x ≥ 196
Therefore the producer must sell at least 196 tickets so as to make a profit
Which points are coplanar?
Answer: ABFE or ABJCDI
Step-by-step explanation: Any points that are in the same plane or face of a 3D figure
2/3a= -15 - a Please Explain
Hi there! :)
Answer:
a = -9
Step-by-step explanation:
Starting with:
2/3a = -15 - a
Solve for 'a' by isolating the variable:
2/3a = -15 - a
On the right-hand side of the equal sign, make 'a' have a common denominator of 3 to make the simplifying easier:
2/3a = -15 - 3/3a
Add 3a/3 to both sides:
5/3a = -15
Divide both sides by 5/3, or multiply by its reciprocal (3/5)
5/3a(3/5) = -15(3/5)
a = -9
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.
Answer:
The cup holds 26.2 in3 more ice cream than the cone.
Step-by-step explanation:
1. Let's find the volume of ice cream that the cone holds, this way:
Volume = π * r² * h/3
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 5/3
Volume =32.7 inches³
2. Let's find the volume of ice cream that the cup holds, this way:
Volume = π * r² * h
Diameter = 5 inches ⇒ Radius = 2.5 inches
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 3
Volume =58.9 inches³
3. Let's find the difference, this way:
Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³
The cup holds 26.2 in³ more ice cream than the cone.
What is the square root of 16x^16
Answer:
4x⁸Step-by-step explanation:
[tex]\sqrt{16x^{16}}=\sqrt{16}\cdot\sqrt{x^{16}}=4\cdot x^8[/tex]
The square root of 16x¹⁶ is 4x⁸
What is expression?
Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers
[tex]\sqrt{16x^1^6}[/tex]
Rewrite [tex]16x^1^6[/tex] as [tex](4x^8)^2[/tex]
[tex]\sqrt{ (4x^8)^2}[/tex]
Pull terms out from under the radical, assuming positive real numbers
[tex]4x^8[/tex]
Hence, the square root of 16x¹⁶ = 4x⁸
Learn more about Expressions here:
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I’ll Give Brainlynest
Answer:
The answer is A.
Step-by-step explanation:
I hope this helps!