Solution :
Sample size Sample mean Sample S.D.
Sample 1 [tex]$n_1=36$[/tex] [tex]$\bar{x}_1=150,000$[/tex] [tex]$s_1=17,000$[/tex]
Sample 2 [tex]$n_2=45$[/tex] [tex]$\bar{x}_2=100,000$[/tex] [tex]$s_2=12,000$[/tex]
[tex]$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$[/tex]
= 60
Therefore, significance level, α = 0.1
Critical value, t* = 1.6706
So, the margin of error, [tex]$t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$[/tex]
= 559.9896
Lower limit, [tex]$(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$[/tex]
Upper limit, [tex]$(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$[/tex]
Therefore 90% C.I. is (44402.0104, 55597.9896) or [tex]$44402.0104 < \mu_1 - \mu_2 < 55597.9896$[/tex]
6. Triangle CDE with vertices C(-2,-2), D(1,-4), and E(-3,-4):
a) dilation with scale factor of 4 centered (-1.-3)
b) reflection in the line y = -x
The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)
How to work with transformation of objects?
We are given the vertices of Triangle CDE as;
C(-2,-2), D(1,-4), and E(-3,-4).
Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.
However, we are told that it is centered about the point (-1.-3).
Thus;
Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.
Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)
Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)
Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)
B) Reflection in the line y = -x gives;
C'(2, -2), D(-1, 4), and E(3, 4)
Read more about Objects Transformation at; https://brainly.com/question/3457976
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Please help me find the x and y value of these
Answer:
27 and 28
Step-by-step explanation:
is this proportional?
I
If it is-
Explain why, give an ordered pair that would represent the unit rate, and what it means
If it is not-
Tell me why :(
If you decide to help, Thank you you will get , 20 points for helping :D if u do not know what the answer is please dont waste my time by commenting unnecessary things :) i really have to study for a test thats tommrow and i have to finish this first!
Answer:
yes it is because they all = to 3 when I divide them so they are proportinal
Step-by-step explanation:
A copy machine can print 480 copies every 4 minutes.
Answer:
Every 10 minutes, it would print 1,200 copies.
Brainliiest please
One exterior angle for a regular hexagon is
Answer:
72 degrees
Step-by-step explanation:
Calculate the number of sides in the regular polygon. We do this by dividing 360° by the size of one exterior angle, which is 72°
Translate the sentence into an inequality.
Thirty-seven is less than the difference of seven and ten times a number.
Please help, I need this right now!
Answer:
Let x be the number,
7-10x>37
The required inequality is 10x - 7 > 37
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Thirty-seven is less than the difference of seven and ten times a number.
Let x be the number, we get,
10x - 7 > 37
Hence, The required inequality is 10x - 7 > 37
For more references on inequality, click;
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3x+2y=12
x+y=8
in y=mx+b
Answer:
Step-by-step explanation:
3x + 2y = 12
2y = -3x + 12
y = [tex]\frac{-3}{2}x + \frac{12}{2}[/tex]
y = [tex]\frac{-3}{2}x + 4[/tex]
2) x + y = 8
y = -x + 8
Find the value of X please help
Assume y≠60 which expression is equivalent to (7sqrtx2)/(5sqrty3)
Answer:
The equivalent will be:
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]
Therefore, option 'a' is true.
Step-by-step explanation:
Given the expression
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]
Let us solve the expression step by step to get the equivalent
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]
as
[tex]\sqrt[7]{x^2}=\left(x^2\right)^{\frac{1}{7}}[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=x^{2\cdot \frac{1}{7}}[/tex]
[tex]=x^{\frac{2}{7}}[/tex]
also
[tex]\sqrt[5]{y^3}=\left(y^3\right)^{\frac{1}{5}}[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=y^{3\cdot \frac{1}{5}}[/tex]
[tex]=y^{\frac{3}{5}}[/tex]
so the expression becomes
[tex]\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex] ∵ [tex]\:\frac{1}{y^{\frac{3}{5}}}=y^{-\frac{3}{5}}[/tex]
Thus, the equivalent will be:
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]
Therefore, option 'a' is true.
consider the two similar figure below. Which sequence of transformations will carry quadrilateral ABCD onto quadrilateral EFGH
Answer:
The first answer
Step-by-step explanation:
When you dilate something by a fraction the quadrilateral is going to get smaller. So, we can eliminate 2 and 4. Next I took point A and dilated it by 1/2 and then applied the translation to it. Once I figured out where each one landed, the first one was correct because it was on point E of EFGH and the other translation was not.
what is the answer it weird and hard
Answer:
x=12
Step-by-step explanation:
7.5/5=1.5
1.5x8=12
What is the slope of y = -1/3x + 2? *
Answer:
-1/3
Step-by-step explanation:
The slope an equation is the number that is being multiplied by x. This is known as the coefficient. A coefficient is a number that’s being multiplied by a variable. In this equation, -1/3 is the slope because that’s the coefficient, it’s being multiplied by the variable x.
Hope this helps! :)
The sum of the first two and the greatest of 4 consecutive odd integers is 29. What are the integers?
Answer:
The four consecutive odd numbers are [tex]7,9,11,13[/tex]
Step-by-step explanation:
Let the four consecutive odd integers be [tex]x,x+2,x+4,x+6[/tex]
The sum of the first two and the greatest of 4 consecutive odd integers is 29.
[tex]x+x+2+x+6=29\\3x+8=29\\3x=29-8\\3x=21\\x=7[/tex]
Therefore,
[tex]x=7\\x+2=7+2=9\\x+4=7+4=11\\x+6=7+6=13[/tex]
The four consecutive odd numbers are [tex]7,9,11,13[/tex]
Anything is appreciated I will give you Brinley
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
BRAINILIEST
Clara ran 10 miles, which was twice as far as Nina ran. How far did Nina run?
WHAT in the valuE of 3n=1 when n=4?
Answer: 4
Step-by-step explanation:
10 points ! I’m really trying to pass this but I just don’t get it. help pls! :((
Answer:
how about you stop being confused
Step-by-step explanation:
just read the question
what does 1/4(8x+16)=4x equal?
Answer:
x = 2
Step-by-step explanation:
Hope this helps, have a good day
Need help asap thanks
Answer:
1. SAS 2. SSS 3. ASA 4. AAS
Step-by-step explanation:
1. They provide you with an equal side, an equal angle, and one shared side which is equal.
2. They provide you with an equal side, another equal side, and one shared side that is equal.
3. They provide you with an equal angle, an equal side, and another equal angle.
4. They provide you with an equal angle, another equal angle, and one shared side that is equal.
please help meeee
from edge about graphing an absolute value function
determine the domain and range of the function f(x)= -|x| + 2.
the domain of the function is__________
the range of the function is__________
the options are: all real numbers, all numbers greater than or equal to 2, and all numbers less than or equal to 2
Answer:
For the given function f(x)= -|x| + 2
the domain of the function is: All real numbers
the range of the function is: all numbers greater than or equal to 2
Step-by-step explanation:
We need to find the domain and range of the function f(x)= -|x| + 2.
Domain: Domain is defined as all the possible x values of x for which the function is true.
Range: Range is defined as all the possible y values.
So, For the given function f(x)= -|x| + 2
the domain of the function is: All real numbers (the function is true for all real numbers)
the range of the function is: all numbers greater than or equal to 2
(When solving the equation we will have value of f(x) equal or greater than 2)
( 30 points ) last one lol pleasee ?
Answer:
H
Step-by-step explanation:
Answer:
The answer is G because:
the y-intercept is -3 because that's what y is when x is 0
the slope is 2 because the y-values are going up by 6 every time and the x values are going up by 3. slope is rise/run (rise is y because it's axis is vertical and the run is x because it's axis is horizontal) so the slope is 6/3 or simplified to 2.
to write the equation you plug in the values above into the slope intercept form which is:
y = mx + b
where m is the slope and b is the y-intercept
so the answer is y= 2x -3 or G
Step-by-step explanation:
There are 5 roses for every 9 carnations in a bouquet. Mr.Rodriguez buys a bouquet with 42 flowers in it. How many carnations are in the bouquet Mr.Rodriguez bought?
Answer:
I think its eight but I could be wrong
Answer:
27
Step-by-step explanation:
i dont know how to describe what i did but it is correct
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
for a circle with the given circumference, c, fund the diameter of the circle. Round to the nearest whole number
C=44 in
Answer:14
Step-by-step explanation:
44/3.14(pie)=14.01
Simplify 1/2+2/3-1/4
Answer:
11/12
Step-by-step explanation:
Carl for the tankers truck before to the use of fuel in South to deliver a shipment bananas to Alaska the truck come to 0.8 liters of fuel for each kilometer driven remaining in the truck tank in liters and distance driven in kilometers
Answer:
Answer:
radio waves, microwaves, infrared, visible light, ultraviolet light, X-rays, gamma rays
Explanation:
Electromagnetic waves are oscillations of electric and magnetic fields in a direction perpendicular to the direction of motion of the wave (transverse waves). They are classified into 7 different types, according to their frequencies.
From lowest to highest frequency, we have:
Radio waves
Microwaves
Infrared
Visible light
Ultraviolet
X-rays
Gamma rays
Step-by-step explanation:
i hope this is right :)
Answer:
ummm this doesnt make sense mabey 25
Step-by-step explanation:
Question 1 (1 point)
Find the area of the circle.
A) 37.82
B) 43.86
C) 17.72
D) 28.26
Answer:
ok
Step-by-step explanation:
A company spends 12% of its monthly budget on rent, which totals $2500. 3 points Write a proportion to calculate the company's total budget. Your answer
Answer:
The solution is !.25x+450P=956X
Step-by-step explanation:
a girl that is 4 feet tall standing 2 feet from a mirror sees the reflection of a flag pole that is 12 feet from the mirror how tall is the pole
Answer:
the pole is 24 feet tall
Step-by-step explanation:
the mirror make every thing half its size
Which number should each side of the equation 4/5x=8 be multiplied by to produce the equivalent equation of x=10?
A) -4/5
B) 1/5
C) 5/4
D) 5
Answer:
D
Step-by-step explanation:
(4/5)x*5=8*5
4x=40
4x/4=40/4
x=10