Answer:
(-0.607 ; 1.757)
Step-by-step explanation:
Student: __ 1 ___ 2 ___ 3 ___ 4
Fall _____2.6__ 3.0__ 1.5 __1.4
Spring___ 1.7__ 2.2 __1.4 __0.90
Using calculator :
Fall:
Xbar1 = 2.125
Sample size, n1 = 4
Standard deviation, s1 = 0.8
Spring :
Xbar2 = 1.55
Sample size, n2 = 4
Standard deviation, s2 = 0.54
Confidence interval :
(xbar1 - xbar2) ± Tcritical * Sp* √1/n1 + 1/n2
Sp = √[(df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)]
df = n - 1
(xbar1 - xbar2) = 2.125 -1.55 = 0.575
Hence,
Sp = √(((3*0.8^2) + (3*0.54^2)) / 6)
Sp= √2.7948 ÷ 6
Sp = √0.4658
Sp= 0.682
Tcritical at 95%, df = 4 = 2.45
Error margin = 2.45 * 0.682 * √1/4 + 1/4 = 1.182
Confidence Interval:
Lower boundary = 0.575 -1.182 = -0.607
Upper boundary = 0.575 + 1.182 = 1.757
(-0.607 ; 1.757)
please guys help me please
Answer:
C
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
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.
rolling a 1 and
the coin landing
on tails
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation：
Rolling a 1 is [tex]\frac{1}{6}[/tex]
Flipping tails is [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}=\frac{1}{12}[/tex]
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!
if I have a 8 inch by 10 inch poster what is the area
Answer:
80 inches
Step-by-step explanation:
8x10=80
because, lxw
l= length
w= width
Answer:
80
Step-by-step explanation:
im not trying to copy the answer above, im just going to say why its 80
so firstly we have the known dimensions of 10 by 8, so in this case we have 10 rows that each contain 8 units
we can then multiply the 8 units of one row, by the amount of rows there are total (in this case 10) to get the total unit count, or area
8 * 10 = 80
(NOTE: you can use the Asterisk (*) as a multiplication mark as to not get it confused with x as in the variable, as with slash (/) for dividing)
hope this helps with this and other problems, credits to the answer above for doing the initial work :)
(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
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?
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
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
Find the measure of 7
Answer:
its 96 because it is corresponding to both the 96 degrees in the fig
Please find the VOLUME . Will mark the brainliest be geniune no links
Answer:
Pyramid formula: V= LWH/3
224
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
The figure shown is a triangular prism
The volume of a triangular prism can be calculated by using this formula
[tex]V=ah[/tex]
where a = area of base and h = height
we are already given the height ( 8 ft ) so all we need to find is the area of the base
Because this is triangular prism the base will be a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft
That being said we plug in the values into the formula
[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]
So we can conclude that the area of the base is 42 ft²
Now to find the volume
Using the formula V = ah
* plug in the values *
V = 42 * 8
42 * 8 = 336
Therefore the volume of the triangular prism is 336ft³
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
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
Need help with this
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
#SPJ2
determine the rational number
bethween-3 and 0
Answer:
-1.5
Step-by-step explanation:
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
What is the volume of the rectangular prism?
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.
find the volume of a cylinder whose height is 7 cm and radius is 10 cm
Answer: [tex]700\pi \text{ cm}^{2}[/tex]
Step-by-step explanation:
[tex]V=\pi r^{2} h\\\\V=\pi(10)^{2}(7)\\\\ \boxed{V=700\pi \text{ cm}^{2}}[/tex]
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
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.
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.
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]
With the spinner shown, the theoretical probability of landing on 2 is 0.25. Which number of
spins would most likely result in a relative frequency that is closest to the theoretical
probability? SP7. HELP! Due in 45 min
Solve for x.
x = [?]
4x - 2/3x 14
Answer:
x = 24
Step-by-step explanation:
Your mouse is hovering over a key part of the equation, but it looks like a plus symbol to me so I will go with that.
(4x-2) + (3x + 14) = 180 (Add 2 to 180, and subtract 14 from 180.
4x + 3x = 180 + 2 - 14
7x = 168
x = 24
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmoby max pls help
Answer:
5/4 or 1 1/4 or 1.25
Step-by-step explanation:
In a raffle, 200 tickets are sold.
The tickets are either red or blue.
The winning ticket is picked at random.
(a)
What is the probability that the winning ticket is green?
Answer:
0%
Step-by-step explanation:
Answer:
there is a zero percent chance that the winning ticket will be green if all of the tickets are either red or blue