Required data:
Before 6.4 2.6 7.7 10.5 11.7 5.8 4.3 2.8
After 6.7 2.4 7.4 8.1 8.6 6.4 3.9 2.7
Answer:
Confidence interval = (-0.404 ; 1.804)
Pvalue = 0.178
Step-by-step explanation:
H0: μd = 0
H1 : μd ≠ 0
Difference, d = (x - y)
d = - 0.3, 0.2, 0.3, 2.4, 3.1, - 0.6, 0.4, 0.1
Using calculator :
μd = 0.7
Sd = 1.32
Confidence interval :
Mean ± margin of error
Margin of Error =Tcritical * Sd/√n
Tcritical at df = 7, 0.5, 2 - tailed = 2.365
Margin of Error = 2.365 * 1.32/√8
Margin of Error = 1.104
Lower boundary :
(0.7 - 1.104) = - 0.404
Upper boundary :
(0.7 + 1.104) = 1.804
(-0.404 ; 1.804)
Test statistic, = μd / (Sd ÷ √n)
Test statistic = 0.7 / (1.32 ÷ √8)
Test statistic = 1.499
From the test statistic score ; using a Pvalue calculator :
Pvalue = 0.178 ( 3 decimal places)
HELPPPP PLS this is my last question
Answer:
-6
Step-by-step explanation:
Absolute value for positive numbers is just that number
Negative numbers are the opposite when doing absolute value
Absolute value of -6 is 6
Need help with this
Which expression is equivalent to  when ?    
Answer:
[tex]5(w + 4) \\ = 5(9 + 4) \\ = 5 \times 13 \\ = 65[/tex]
Use the graph to answer the question.
On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).
Which parametric equations describe the curve?
x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6
x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3
The answer for this question is A:
A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
The parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Parametric equation of the line:The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.
Slope of the line:If (a, b) and (c, d) are any two points on the line then, slope of the line is:
m = (d - b)/(c - a)
For given situation,
a line goes from (-5, 7) to (3, 3).
Using the formula of slope, the value of m i.e., slope of the line would be,
⇒ m = (7 - 3)/(-5 - 3)
⇒ m = 4/(-8)
⇒ m = 1/(-2)
⇒ m= 0.5/(-1)
Comparing with m = b/a,
b = 0.5 and a = -1.
From the graph of the line given below,
A point (1, 4) is also on the line.
Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]
Using the parametric equation of the line,
[tex]x=x_0+at[/tex]
⇒ x = 1 + (-1)t
⇒ x = -t + 1
and [tex]y = y_0+bt[/tex]
⇒ y = 4 + (0.5)t
⇒ y = 0.5t + 4
Therefore, the parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Learn more about the parametric equations here:
https://brainly.com/question/9056657
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a total of 1500 raffle tickets were collected during the school fair. if you have 30 raffle tickets, what is the probability that you will win?
Answer: 1/50 or 0.02
Step-by-step explanation:
30 / 1500 = 1/50
1/50 or 0.02
Write the standard form of the equation of the circle with center (4,7) that passes through the point (−7,9).
Answer:
[tex](x-4)^2+(y-7)^2=125[/tex]
Step-by-step explanation:
1) Find the radius
To find the radius of the circle, use the distance formula for the points (4,7) and (-7,9)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (4,7) and (-7,9)
[tex]d=\sqrt{(-7-4)^2+(9-7)^2}\\d=\sqrt{(-11)^2+(2)^2}\\d=\sqrt{121+4}\\d=\sqrt{125}[/tex]
Therefore, the radius of the circle is [tex]\sqrt{125}[/tex] units.
2) Plug all data into the circle equation
Equation of a circle (not centred at the origin):
[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex]
Plug in the point (4,7) as (h,k)
[tex](x-4)^2+(y-7)^2=r^2[/tex]
Plug in the radius [tex]\sqrt{125}[/tex]
[tex](x-4)^2+(y-7)^2=(\sqrt{125}) ^2\\(x-4)^2+(y-7)^2=125[/tex]
I hope this helps!
PLZ HELP ME HELP WITH THIS
9514 1404 393
Answer:
yes
Step-by-step explanation:
A negative exponent in the numerator is the same as a positive exponent in the denominator (and vice versa). So, the first two expressions are equivalent.
An exponent is an indication of repeated multiplication. So, the 2nd and 3rd expressions are equivalent.
Any product can be decomposed to a product of its factors. So, the last two expressions are equivalent.
All of the expressions are equivalent.
7. Write 300 as a product of prime factors.
is -92 a rational number
Answer: Yes
Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.
No
A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.
Find the value of x in the triangle below.
Answer:
Can't be Solved
Step-by-step explanation:
tan x = opp/adj
tan x = 23/11
tan x = 2.09090909 which is about
tan x = 2.09
x = 64.4 degrees which is the tangent of 2.09 in degrees.
x = 64.4 degrees
This is the only way to solve, since no answer is equivalent it can't be solved.
Mr. Jones has fives eats on the school’s trip to Grand Canyon for his students. In how many different ways Mr. Jones can select a group of five from his class of 35?
A rectangle's length is 6 feet shorter than twice its width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.
9514 1404 393
Answer:
area = 2w² -6w
Step-by-step explanation:
For width w, the length is ...
L = 2w -6
and the area is ...
A = LW = (2w -6)(w) = 2w² -6w . . . area of the rectangle
How do you work out Experimental and Theorical Probability.
pls help,
theoretical probability is based on logic as in:
there's a spinner with five equal sections. There would be a theoretical probability of 20% for each section
Experimental probability is based on results of previous experiments such as:
Damien spun that same spinner 10 times and landed on the red section 3 of ten times
What is the surface area of the cylinder? Use 3,14 for pi and round your answer to the nearest hundredth.
Answer:
B. 226.08 sq in
Step-by-step explanation:
Given data
r= 3 in
h= 9in
The expression for the surface area of a cylinder is
A=2πrh+2πr^2
Substitute
A= 2*3.142*3*9+ 2*3.142*3^2
A= 169.668+ 2*3.142*9
A= 169.668+ 56.556
A=226.224 sq in
at the aminal sheter they use 84 ounces of dog food for each dog.They have 14 dogs to feed.How many ounces of dog food does each dog get.
(NEED HELP URGENTLY) Similarity and the Pythagorean Theorem
What is the value of x?
Enter your answer in the box.
x should be 180 I think
Find the measure of 7
Answer:
its 96 because it is corresponding to both the 96 degrees in the fig
How many times greater is the value of the 4 in 900,400 than the value of the 4 in 900,040 please help me faster!
Answer:
10 times plz mark brainliest
Answer:
10
Step-by-step explanation:
10×10=100. TRUST ME I DID THE MATH
please guys help me please
Answer:
C
Step-by-step explanation:
solve the simultaneous equations
8x+3y=45 2x+3y=27
Answer:
x = 3 and y = 7
Step-by-step explanation:
Given that,
8x+3y=45 .......(1)
2x+3y=27 ........(2)
We need to solve equations (1) and (2)
Multiply equation (2) by 4.
8x+12y=108 .....(3)
Subtract equation (1) from (3).
8x+12y-(8x+3y)=108-45
12y-3y = 63
9y = 63
y = 7
Put the value of y in equation (1).
2x+3(7)=27
2x+21 = 27
2x = 27-21
2x = 6
x = 3
So, the values of x and y are 3 and 7 respectively.
Brainliest for correct answer asap
Answer:
para de ser joto cuhhhhhhhhhhhhh
Step-by-step explanation:
ok ok ok so no sabo
The area of sector AOB is
9/4pi and MZAOB = 40°. Find the
radius of circle O.
Radius:
Answer:
i ma rhhy
Step-by-step explanation:
i am right
You did 5 trials of push-ups in a minute with the following results:
23, 22, 23, 40, 24
If you want your personal mean to be 28, how many push-ups do you need to do on your skith trial?
Answer:
36 push-ups on your sixth trial
I would appreciate Brainliest, but no worries.
5 shirts for $30.00
Rate: What go's here Unit Rate: What go's here?
Pls help!
Step-by-step explanation:
that each shirt is 6 dollars
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmoby max pls help
Answer:
5/4 or 1 1/4 or 1.25
Step-by-step explanation:
Whats the answer????!!!!
Answer:
84in(the first one)
Step-by-step explanation:
You multiply it al together
7 x 3 x 4 = 84
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 520 grams, write a function showing the mass of the sample remaining after tt years, where the annual decay rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of decay per year, to the nearest hundredth of a percent.
Answer:
The percentage rate of decay per year is of 5.19%.
The function showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Every 13 years, its mass decreases by half.
This means that [tex]A(13) = 0.5A(0)[/tex]. We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{13}[/tex]
[tex](1-r)^{13} = 0.5[/tex]
[tex]\sqrt[13]{(1-r)^{13}} = \sqrt[13]{0.5}[/tex]
[tex]1 - r = (0.5)^\frac{1}{13}[/tex]
[tex]1 - r = 0.9481[/tex]
[tex]r = 1 - 0.9481[/tex]
[tex]r = 0.0519[/tex]
The percentage rate of decay per year is of 5.19%.
The initial mass of a sample of Element X is 520 grams
This means that [tex]A(0) = 520[/tex]. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 520(1-0.0519)^t[/tex]
[tex]A(t) = 520(0.9481)^t[/tex]
The function showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]
Which statement is correct?
A. Cosecant is the reciprocal of tangent.
O B. Sine is the reciprocal of secant.
C. Secant is the reciprocal of cosine.
D. Cotangent is the reciprocal of cosecant.
If your answer is right I’ll mark you!
Answer:
D
Step-by-step explanation:
5 1/2= 5 2/4
5 2/4 - 1 3/4 = 3 3/4
Answer:
3 3/4
Step-by-step explanation:
5 1/2 - 1 3/4
5 2/4 - 1 3/4
22/4 - 7/4
15/4
3 3/4
Please help, will mark Brainly and if you need help with anything I’ll help with any work you send
Don’t tell me to go to a website, it doesn’t work at all. Stop spamming that.(will be reporting anyone who does)
Answer:
The first one is missing (d - 9) so it would be 5(d -9) or when you factor it out 5d - 45
In the second one (d + 7) is missing so it will be 8d(d + 7) so if you factor that out you will receive 8d^2 + 56
Step-by-step explanation:
3d^2 + 18d -21 =(3d -3)( d + 7)
3d^2 -30d +27 =(3d -3)(d - 9)