Answer:
$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.
Step-by-step explanation:
95% confidence interval: $72 to $198.
This means that we are 95% sure that the true mean spending is between $72 and $198.
From this confidence interval the assistant concluded that people spend an average of $200 a month on entertainment. Is this a reasonable conclusion and why?
$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.
y = - 1/(1 + cos y) Find dy/dx.
Step-by-step explanation:
you have to use this
u/v=u'×v-v'×u/v²
0×(1+cosy)-(-1×-siny)/(1+cosy)²
-siny/(1+cosy)²
hopefully its correct
Math Puzzle - Please help me solve this. I am not sure.
Answer:
143547
Step-by-step explanation:
1) Multiply the first 2 numbers: 7 x 2 = 14
2) Multiply the first and third numbers: 7 x 5 = 35
3) Now we get 14 and 35. Add both these numbers: 14 + 35 = 49
4) Now subtract the second number that is 2 from 49: 49 - 2 = 47
5) Hence, the answer is 143547
Thanks for giving such an interesting question! Loved it!
The approximate land areas of the seven continents are listed in the table below.
Continent Area
(in sq. miles)
Africa 11.7 million
Antarctica 5.4 million
Asia 17.3 million
Australia 3.3 million
Europe 3.8 million
North America 9.4 million
South America 6.9 million
What is the median of the land areas of the seven continents?
9.4 million
6.9 million
7.4 million
5.4 million
Answer:
6.9 million
Step-by-step explanation:
the median is the number that is in the middle or centre of a set of observations that is arranged either in an ascending or descending order.
Arrange the land areas in ascending order :
3.3, 3.8, 5.4, 6.9, 9.4, 11.7, 17.3
the number in the middle is the 4th number which is 6.9
EASY 20 POINTS AND BRANLIEST PLEASE HELP write the following without the absolute value sign
Ia^2I if a<0
a^2 is in absolute value
Answer:
a^2
Step-by-step explanation:
Ia^2I if a<0
Since a^2 is always positive, we can remove the absolute value sign and nothing will change
a^2
PLEASE HELP ASAP!! *the thing above is a picture click to see full problem*
Answer:
101
Step-by-step explanation:
180-79
Find the missing angle
Answer and Step-by-step explanation:
First, solve for the angle TRS, so that we can find the missing angle.
Subtract the two angles from 180 (because all triangle's angles add up to 180).
180 - 58 - 60 = 62.
By the vertical angles theorem, 62 is equal to the missing angle.
#teamtrees #PAW (Plant And Water)
One hundred students were surveyed and asked if they participate in band and if they play a sport. The table below summarizes their responses.
Of students that do NOT play a sport, what is the relative frequency of those who participate in band?
Answer:
22/30
Step-by-step explanation:
22 students participate in band and 8 do not. The total number of students that don't play sports are 30 in total cause 22 + 8 = 30.
So, 22/30
Answer:22/30
Step-by-step explanation:
What is the volume of the rectangular prism?
Answer:
The one all the way to the left (1 1/9 ft)
Step-by-step explanation:
You have to multiply Height x Width x length together.
Height will be 5/3 or 1.66
length side will have the lenght of 1
Width will be 2/3 or .66
So now you just have all of that. And you get 1.1 ( I multiplied the decimals )
And that was closest to 1 1/9
What is the solution to the system of
equations shown below?
S23
2x + 2y = 12
6x - 2y = 20
Answer:
The solution, as an ordered pair, is (4, 2).
Step-by-step explanation:
2x + 2y = 12
6x - 2y = 20 Adding the 2 equations will eliminate y:
8x + 2y + (-2y) = 32
8x = 32
x = 4.
Substitute x = 4 in the first equation:
2(4) + 2y = 12
2y = 12 - 8
2y = 4
y = 2.
Given f (x) = 3 x minus 1 and g (x) = 2 x minus 3, for which value of x does g (x) = f (2)?
f ( x ) = 3x - 1
g ( x ) = 2x - 3
_____________________
g ( x ) = f ( 2 )
2x - 3 = 3(2) - 1
2x - 3 = 6 - 1
2x - 3 = 5
2x - 3 + 3 = 5 + 3
2x = 8
2x ÷ 2 = 8 ÷ 2
x = 4
HELP SOON!!
What is sum of the geometric series 5 sigma k-1 6(4)^4-1?
(picture attached)
Answer:
the answer is 2,046...
∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is 2046
What is a geometric series ?The sum of an infinite number of terms that are in constant ratios.
From the given data
∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is (here k is replaced with
n)
6(4)ⁿ⁻¹ for n=1 is
=6(4)¹⁻¹
=6(4)⁰
= 1
6(4)ⁿ⁻¹ for n=2 is
=6(4)²⁻¹
=6(4)¹
=24
6(4)ⁿ⁻¹ for n=3 is
=6(4)³⁻¹
=6(4)²
=6(16)
=96
6(4)ⁿ⁻¹ for n=4 is
=6(4)⁴⁻¹
=6(4)³
=6(64)
384
6(4)ⁿ⁻¹ for n=5 is
=6(4)⁵⁻¹
=6(4)⁴
=6(256)
=1536
∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is
6 + 24 + 96 + 384 + 1536
=2046
Learn more about Geometric series here :
https://brainly.com/question/4617980
#SPJ2
i probably did it wrong. please do a good explanation on how to find this out and answer my questions for brainliest thank you
Answer:
Step-by-step explanation:
As you can see from the value in the middle of the questions, the domain refers to all the possible x-values (input values) while the range refers to all the possible f(x) values (output values :: y-values). Therefore, for the domain, since the endpoints of the graph are closed circles it means that they are included so the domain would be ...
Domain: -9 ≤ x ≤ 7
The range would be the lowest and highest included y-value on the graph which in this case would be ...
Range: -6 ≤ f(x) ≤ 4
I NEED HELP PLEASEE HELP ME
Answer:
TRUE
FALSE
FALSE
TRUE
Step-by-step explanation:
yan na po god bless
In a year study found that the 7 billion people in the world 6 billion have cell phones how many people live without access for that year
Answer:
1 billion
Step-by-step explanation:
there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.
Working out:
7 -6=1
What is the radius of a circle whose equation is x2+y2+8x-6y+21=0?
O 2 units
O 3 units
4 units
ОО
O 5 units
The radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units
Radius of a circleSince the equation of the circle is x² + y² + 8x - 6y + 21 = 0, to find the radius, we complete the square in the terms x and y and convert it to the form (x - a)² + (y - b)² = r² (1) which is the standard equation of a circle.
So, x² + y² + 8x - 6y + 21 = 0
x² + 8x + y² - 6y + 21 = 0
x² + 8x + (8/2)² - (8/2)² + y² - 6y + (-6/2)² + (-6/2)² + 21 = 0
x² + 8x + 4² - 4² + y² - 6y + (-3)² - (-3)² + 21 = 0
(x + 4)² - 4² + (y - 3)² - (-3)² + 21 = 0
(x + 4)² - 16 + (y - 3)² - 9 + 21 = 0
(x + 4)² + (y - 3)² - 16 - 9 + 21 = 0
(x + 4)² + (y - 3)² - 4 = 0
(x + 4)² + (y - 3)² = 4 (2)
Comapring (1) and (2), r² = 4
So, r = √4
r = 2
So, the radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units
Learn more about equation of a circle here:
https://brainly.com/question/24810873
The radius of the circle given by the equation is 2.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given equation is,
x² + y² + 8x - 6y + 21 = 0
(x² + 8x + 16) + (y² - 6y + 9) - 4 = 0
(x + 4)² + (y - 3)² = 4
(x + 4)² + (y - 3)² = 2²
Hence the radius of the circle is 2.
Learn more about Circles here :
https://brainly.com/question/29288238
#SPJ5
tell whether the ordered pair is a solution of the equation !! please help i will mark you brainliest!
Answer:
yes both questions the answer are equal
Step-by-step explanation:
(3,5) where 3 is the x coordinate and 5 is the y coordinate
putting it into y=5x-10
5=5(3)-10
5=5
(4,5) where 4 is the x coordinate and 5 is the y coordinate
putting it into y=2x-3
5=2(4)-3
5= 5
what is the equivlalent expression of 6m
Answer:
6 * m
Step-by-step explanation:
6m is is multiplication so should be the equivalent expression
Written out as words clearly says
six times a number
times meaning multiplication
Meaning any other expression is equivalent as long as it is a form of multiplication
If I'm wrong please tell me if not
Hope this helped :]
all the numbers between 20 and 40 which are multiples of 2 and 3
Answer:
21, 24, 27, 30, 33, 36, 39.
Step-by-step explanation:
Answer:
multiples of 3 : 21, 24, 27, 30, 33, 36, 39.
multiples of 2 : 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
Step-by-step explanation:
Plz help me well mark brainliest if correct.....????????
Answer:
Step-by-step explanation:
31 , b/c it's the most common
c 32
Step-by-step explanation:
plz follow me wenelyn andoyo duay sana makatulong ako
A garden shed is 5 m from back to front; the back wall is 1.9 m high and the tool
slopes up uniformly to the front wall which is 2.6 m high. Find the area of the
side wall.
Answer:
yagni
Step-by-step explanation:
de bo dam me ha te cu te mala panga uh hu ayeee
Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for white fly. A. Can this be considered an almost binomial situation
Answer:hmmm
Step-by-step explanation:
Determine if 0.949449444944449444449 rational or irrational and give a reason for answer.
Answer:
irrational if it's more after this number but if it stops at the last 9 then it's a rational number
hope this helps
have a good day :)
Step-by-step explanation:
This is irrational if it's more after this number but,
If it stops at the last 9 then it's a rational number.
We have given that,
0.949449444944449444449.
What is the meaning of irrational numbers?An irrational number, any real number that cannot be expressed as the quotient of two integers.
We have to determine rational or irrational.
irrational if it's more after this number but.
If it stops at the last 9 then it's a rational number.
To learn more about the numbers visit:
https://brainly.com/question/251701
Molly roller blades at a constant speed, travelling 8 km from her home to the library in 0.5 h. What was the rate of change of distance with respect to time?
Answer:
speed = Distance ÷ time
Step-by-step explanation:
S = 8km ÷ 0.5h
S = 16km/h
The rate of change of distance with respect to time was 16km/hr.
What is the average speed?Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed over the course of a journey.
How to solve this problem?Here, the total distance = 8km
Total time = 0.5 hr
Then the rate of change = total distance/total time = 8/0.5 = 16km/hr
Therefore, the rate of change of distance with respect to time was 16km/hr.
Learn more about speed here -
https://brainly.com/question/21622792
#SPJ2
Find the measure of angle x.
X Х
x = [?]
/20
Answer:
x=20[vertically opposite angle are equal]
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5
A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5
Answer:
[tex]f(x) = 2x + 5[/tex]
[tex]g(x) = (x - 6)^2[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Which will give:
[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
Equate the expression in bracket to g(x)
[tex]g(x) = (x - 6)^2[/tex]
Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
[tex]f(x) = 2x + 5[/tex]
You invest $50 with a simple interest return rate of 4% per year. How many years will it take to in investment to reach $70?
Answer:
It would take 10 years for the investment to reach 70 dollars.
Step-by-step explanation:
The investment would gain 2 dollars per year. So in 10 years it will gain 20 dollars.
The question is in the picture.
[tex] B. \:\frac{2}{ {a}^{7} } [/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{8}{2 \: {a}^{5} } \times \frac{6}{12 \: {a}^{2} } \\ = \frac{48}{24 \:( {a})^{5 + 2} } \\ = \frac{2}{ {a}^{7} } [/tex]
Note:-
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Answer:
that can't be the right graph because it is not purple and black or has the right information needed to answer this question
Step-by-step explanation:
Is there a graph that goes with this question?
I really want to help but this is not it
Find the value of each variable in parallelogram ABCD. Please help <3!
Answer:
Step-by-step explanation:
opposite side sides of a parallelogram are equal.
6x=3x+15
6x-3x=15
3x=15
x=15/3
x=5
y+5=2y-10
5+10=2y-y
15=y
Determine the slope of the line passing through (4, -2) and (7, 10).
Answer:
4
Step-by-step explanation:
To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.
The formula is (y²-y¹)/(x²-x¹).
So we just plug in the coordinates.
(10-(-2))/(7-4)
(10+2)/(7-4)
12/3
4
So the slope is 4.
---
hope it helps
The slope of the line passing through (4, -2) and (7, 10) is,
⇒ m = 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Two points on the line are (4, -2) and (7, 10).
Since, The equation of line passes through the points (4, -2) and (7, 10).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (10 - (-2)) / (7 - 4)
m = 12 / 3
m = 4
Thus, The slope of line = 4
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2