Answer:
Yes, because 6.17/4.78 < 2
Step-by-step explanation:
To test for equal standard deviation ;
Condition is met if the ratio of the large sample standard deviation to the smaer sample standard deviation is less than 2
Sample standard deviation;
Sciences 6.1661669
Math 4.7821787
Biological Sciences 5.3115216
The largest sample standard deviation = 6.1661669
The smallest sample standard deviation = 4.7821787
F statistic = 6.1661669 / 4.7821787 = 1.2894053
F statistic < 2 ; Hence, condition for equal standard deviation is met.
The triangle in Quadrant IV is the image of the triangle in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90
B.) 180
C.) 270
D.) 360
Answer:
A. 90 degrees
Step-by-step explanation:
Look this picture :]
The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?
Answer:
Size of the original rectangle is 30*20=600
Step-by-step explanation:
Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10
ATQ, (x+20)(x+10)=2(x+10)(x), x=20.
Find the length of the side labels x round intermediate values to the nearest tenth
Answer:
x = 35.0
Step-by-step explanation:
the height is 26√3 since the left one is a 30-60-90 triangle
so to find x
cos(39) = x/26√3
or, x = 26√3×cos(39)
or, x = 35.0
Answered by GAUTHMATH
Christopher walks 5km south then walks on a bearing of 036º until he is due east of his starting point. How far is he from his starting point, to 1 decimal place?
Christopher's distance from his starting point is 3.6 km
Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point.
His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle.
This right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.
Since we have both the opposite and adjacent sides of a right-angled triangle,
From trigonometric ratios,
tanФ = opposite/adjacent
tanФ = x/5 km
Now Ф = 036º
So, tan36º = x/5km
x = 5 km(tan36º)
x = 5 km (0.7265)
x = 3.633 km
x ≅ 3.6 km to 1 decimal place.
So, Christopher's distance from his starting point is 3.6 km.
Learn more about bearing here:
https://brainly.com/question/11684993
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Values that are much higher or much lower than others in a data set are _______________.
A. outsiders
B. outfielders
C. errors
D. outliers
Answer:
outliers
explanation:
Answer:
the right answer is
no d (outliers)
Given f (x) = -x + 2, find f(0).
Answer:
f(0) =2
Step-by-step explanation:
f (x) = -x + 2
Let x = 0
f(0) = -0+2
f(0) = 2
Answer:
f(0) = 2
Step-by-step explanation:
Substitute x = 0 into f(x)
f(0) = - 0 + 2 = 0 + 2 = 2
Which situations can be presented by an exponential function?
Select EACH correct answer
A.In a structure made of soup cans, each row has 6 more cans that the previous row
B.a doctor’s office accepts 20 new patients each month
C.The value of a motorcycle decrease by 12% each year
D.Every year, the number of online subscribers to a service is 4 times what it was the previous year
Answer:
C.The value of a motorcycle decrease by 12% each year
D.Every year, the number of online subscribers to a service is 4 times what it was the previous year
Step-by-step explanation:
A function is said to be exponential if it changes (increases or decreases) by a fixed percentage or proportion over a certain period of time.
From the options given, only options C and D is defined as changing based on a certain percentage. And option D cgbages by a clfixed proportion from the initial value.
The option that represents the exponential function are situation C) and D) and this can be determined by making the mathematical expression of each situation.
Try to make a mathematical expression of the situation given below in order to check which option shows an exponential function.
A) According to the given data, in the first row there are 6 cans, in the second row there are 12 cans, in the third row there are 18 cans, and so on. Now, let 'a' be the total number of rows then, the mathematical expression of this situation is given by:
= 6a
This situation is not representing the exponential function.
B) According to the given data, in the first month there are 20 patients, in the second month there are 40 patients, and so on. Let the total number of months be 'b' then the mathematical expression is given by:
= 20b
This situation is not representing the exponential function.
C) According to the given data, in the first year the value of the motorcycle decrease 12%, in the second month the value decreased by 24% of the initial value, and so on. So, the price of motorcycle decreases exponentially. Therefore, this option is correct.
D) According to the given data, every year, the number of online subscribers to service is 4 times what it was the previous year. The mathematical expression of this situation is:
= [tex]4^x[/tex]
where 'x' is the number of years. Therefore, this option is correct.
For more information, refer to the link given below:
https://brainly.com/question/2263981
An equation parallel to y = – 3x + 2 through (2,3)
Answer:
y = -3x+9
Step-by-step explanation:
Parallel lines have the same slope
y = -3x+2
This is in slope intercept form where y =mx+b where m is the slope
The slope is -3
y = -3x+b
Using the point (2,3)
3 = -3(2)+b
3 = -6+b
Add 6 to each side
3+6 = b
9=b
y = -3x+9
Answer:
slope (m) = -3
3= -3(2)+b
b = 9
y=mx+b → y= -3x+9
OAmalOHopeO
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of the plastic in the pipe?
Answer: [tex]V=0.0028278\ m^3[/tex]
Step-by-step explanation:
Given
Length of the pipe [tex]l=4\ m[/tex]
Inside diameter of the pipe [tex]d_i=4\ cm[/tex]
Outside diameter of the pipe [tex]d_o=5\ cm[/tex]
Volume of the pipe
[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]
please help me in this questions....
Part (i)
I'm going to use the notation T(n) instead of [tex]T_n[/tex]
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
Answers: -1, -4==============================================
Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
Answer: 21st term===============================================
Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
Answer: 8 Round to the nearest penny.
$11,579.9998
Answer:
Step-by-step explanation:
So basically, we would need to divide to the nearest 0.01 or hundredths place. All you would need to do is round from each place which would soon get you to 11,580.00. Simple right!!
I hope this helps!! Have a good rest of your day! :)
What is the y intercept of the given graph?
Answer:
The answer would be -2.
Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!
Help with this plz?
Topic (Similarity)
Answer:
MATH
Step-by-step explanation:
Is my answer correct?
I'm pretty sure you are :)
7x-3/4=x what is the process to answer fasttttttt please
Answer:
x= 1/8 is the correct answer
Answer:
1/8
Step-by-step explanation:
7x-x=3/4
6x=3/4
6x/6=3/4÷6
x=1/8
Show that (x+1)(x+3)(x+5) can be written in the form ax3+bx2+cx+d where a b c and d are all positive intergers
Answer:
Step-by-step explanation:
(x+1)(x+3)(x+5), multiply first two parenthesis
(x² +3x +x +3)(x+5), combine like terms
(x² +4x +3) (x+5), multiply the parenthesis
(x³ +5x² +4x² +20x +3x +15), combine like terms
x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d
a=1, b=9, c=23, d=15 are all positive integers
128 is the product of hectors score and 8
Fastest answer will be the brainliest
Answer:
The equation would be 8h= 128
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
128=8hWhen you divide both sides by 8, you end up with:
16
please! help me i need it rn
Answer:
It is the last option.
Jordan needs 1 1/2 cups of diced chicken for 3 salads.
To make this easy for you.
1. start on the x axis which is number of salads.
2. Go to the number 3 (of the x axis which is the number of salads)
3. Find your way up to the point marked.
4. see what is your number in the y-axis (in this case it is 1 1/2.
Step-by-step explanation:
I hope it helps!
The equation k(x+1)^2/3+(y+2)^2/4=1 represent circle if
Answer:
Can you Specify the Question?
A Middle school is taking 932 adults and students on a field trip. Each bus can fit 34 people. How many buses will they need to take everyone on the field trip?
PLS HELP!!!
Answer:
(28 buses) 932 divided 27 remainder of 14 rounding up to 28.
Step-by-step explanation:
complete the table
x - 2 7 10
y - 30 36
Answer:
x-15
y 42
Step-by-step explanation:
BEDROOM Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide. Write a
numerical expression to describe the area of Shenandoah's bedroom.
Answer:
(12 x 7) feet2
Step-by-step explanation:
formula of area= length times breadth
The expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle is called the area of the rectangle. The rectangle has two sides one is the width and the other is the Length.
Given that Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide.
The area of the rectangle is the product of its width and length.
Area = L x W
The expression for Shenandoah's bedroom area will be written as below:-
Area = 12 x 7
Area = 84 square feet
Therefore, the expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.
To know more about the area of the rectangle follow
https://brainly.com/question/25292087
#SPJ2
Can someone please help me with this please?
Step-by-step explanation:
Area of the rectangle = 9×6 = 54 m²
Area of the path is also 54 m²
so total area of the bigger rectangle is 54+54 = 108 m²
now the ratio of length to width is 9:6 or, 3:2
so, for 108 m²
(3x)(2x) = 108
6x²=108
x²=18
x=3√2
So length = 3x = 9√2 and width = 2x = 6√2
Which of the following is a solution of this equation?
A.
(5,0)
B.
(-1, 1)
C.
(3,-1)
D.
(-2,-3)
Answer:
D. (-2,-3)
Step-by-step explanation:
substitute the point values of [tex]x[/tex] and [tex]y[/tex] into the equation [tex]y=\frac{1}{2}x-2[/tex]
A. [tex]0=\frac{1}{2}(5)-2[/tex]
[tex]0=2.5-2[/tex]
[tex]0[/tex] ≠ [tex]0.5[/tex]
B. [tex]1=\frac{1}{2}(-1)-2[/tex]
[tex]1=-.5-2[/tex]
[tex]1[/tex] ≠ [tex]-2.5[/tex]
C. [tex]-1=\frac{1}{2}(3)-2[/tex]
[tex]-1=1.5-2[/tex]
[tex]-1[/tex] ≠ [tex]-0.5[/tex]
D. [tex]-3=\frac{1}{2}(-2)-2[/tex]
[tex]-3=-1-2[/tex]
[tex]-3=-3[/tex]
3 x 5(0 + 2) - 4
O Α. Ο
ling
B.
11
O C. 26
O D. 33
Answer:
26 is the answer
Step-by-step explanation:
hope this helps you
Given the following coordinates the glide reflection transformation
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (4, 2 ) → A' (4, - 2 )
B (7, 0 ) → B' (7, 0 )
C (9, 3 ) → C' (9, - 3 )
A translation of a shift to the left of 3 units is a horizontal shift.
This means subtracting 3 fro the x- coordinate and leaving the y- coordinate
A' (4, - 2 ) → A'' (4 - 3, - 2 ) → A'' (1, - 2 )
B' (7, 0 ) → B'' (7 - 3, 0 ) → B'' (4, 0 )
C' (9, - 3 ) → C'' (9 - 3, - 3 ) → C'' (6, - 3 )
The equation of a straight line can be written in the
form 3x + 2y - 8 = 0.
(a) Rearrange this equation to make y the subject.
(b) Write down the gradient of the line.
(c) Write down the coordinates of the point where
the line crosses the y-axis.
(pls give a full working )
Answer:
see explanation
Step-by-step explanation:
Given
(a)
3x + 2y - 8 = 0 ( subtract 3x - 8 from both sides )
2y = - 3x + 8 ( divide the terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + 4
(b)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{2}[/tex] x + 4 ← is in slope- intercept form
with slope ( gradient) m = - [tex]\frac{3}{2}[/tex] and
(c)
c = 4
That is crosses the y- axis at (0, 4 )
| the British 50-pence coin shown on the right is in the shape of a
regular heptagon. Determine the measure of one interior angle.
Show your work.
For a regular polygon with n sides, interior angle
= [(n-2) × 180°]/n
So, interior angle of this regular heptagon shape
= [(7 - 2) × 180°]/7
= (5 × 180°)/7
= 900°/7
= (900/7)°
= 128.571° [approximately]
Answer:
hello,
Step-by-step explanation:
center angle : 360°/7 °
half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °
interior angle= 128°+4/7°≈128.6 °
Focus on math practices
Reasoning How are "T minus 4" and "T plus 4" related?
In rocket use
Answer:
Both T+4 and T-4 are the same distance away from 4
T would be the launch time of the rocket...
T - 4 is 4 units of time (seconds) prior to launch...
T+ 4 is 4 units of time (seconds) after the launch
Step-by-step explanation: