Step-by-step explanation:
(1, 1), 5 + 2 = 7
Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetimes of the AAA batteries it produces. A random sample of 23 batteries produced by the manufacturer lasted a mean of 10.3 hours with a standard deviation of 2.4 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
Answer:
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
(8.889, 11.7106)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 23
Mean of the sample x⁻ = 10.3
Standard deviation of the sample (s) = 2.4
Level of significance = 0.05
Degrees of freedom = n-1 = 23-1 =22
Step(ii):-
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]
[tex](10.3 - t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } , 10.3 +t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } )[/tex]
(10.3 - 2.8188 (0.50043) , 10.3 + 2.8188(0.50043)
(10.3-1.4106 , 10.3+1.4106)
(8.889, 11.7106)
final answer:-
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
(8.889, 11.7106)
I WILL GIVE MORE POINTS IF I GET THE RIGHT ANSWER
Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equations obtained in Part A for the first 5 hours? (5 points)
Answer:
v= 6km/h - 1km/h^2 * t
Step-by-step explanation:
From the information, it seems the runner is slowing down because the speed at 1st hour is 5km/h but at 3rd hour becomes 3km/h.
If v= velocity, v0= initial speed, t= time, and the a=acceleration then the function would be:
v= v0 + a * t
To find the acceleration you need to do this equation:
acceleration= velocity1- velocity3 / t3-t1
a = (3km/h-5km/h)/ (3 hour- 1 hour)
a = (-2km/h)/2hour= -1 km/hour^2
After that, you need to find the initial speed. Try to put the 1st-hour variable into the full equation. It would look like this
v= v0 + a * t
5km/h= v0 + (-1 km/hour^2 * 1 hour)
v0= 5km/h + 1km/h
v0= 6km/h
Then the full function would be:
v= 6km/h - 1km/h^2 * t
The graph would look like a backslash(\) from 5 gradually go down to 1.
6
5 O
4 O
3 O
2 O
1 O
1 2 3 4 5
PLEASEEEE HELPPPPP!!!!!!!
plz don't answer if you don't know because this is a exam
Answer:
-1.5
Step-by-step explanation:
what are the coordinates of the pre-image of F'
Step-by-step explanation:
is there a picture that you could put on here so i can see?
2+2jjjjjjkkkkkkuyuoo
Answer:
4
Step-by-step explanation:
1+1+1+1=2+2=4
This symbol means that both sets could have the same elements. (A ⊆ B)
True
False
Answer:
true
Step-by-step explanation:
because it is
Answer:
True
Step-by-step explanation:
i need help with this thanks
Answer: 6
Step-by-step explanation:
The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
Answer:
B. S = 4 pi r squared = 4 pi (9) squared
Order these numbers from lowest to highest
-24.35 , 11.20 , -7.96
Answer:
-24.35, -7.96, 11.20
Answer:
-24.35, -7.96, 11.20
Step-by-step explanation:
Pleasee help it’s due in 10 minutes I’m begging pleaseeee
Answer:
50t
Step-by-step explanation:
2 (t + 1) = 10
SOLVE FOR T
help on math please.
don´t do any joke answers or anything that not related to the problem only answer if you actually know
Answer: When t = 4.25 R(t) = D(t)
This tells you that at 4.25 seconds into their flights, both the Rocket and the Drone were at a height of 20 feet.
Step-by-step explanation: The point where the two graphed lines cross is where the values are equal.
The Drone has been hovering at 20 feet between 2 and 5 seconds. The Rocket passed through that height for a brief (millisecond) time as it was falling back to the ground.
Without grid lines it is my best estimation (using a ruler to create a verticla line from the intersection of the lines to the time scale) that t = 4.25. It is between 4 and 4.5 seconds.
Louise charges $5 per hour for babysitting one child and $1.25 per hour for each additional child. How much would Louise charge to babysit 4 children for 6 hours?
Answer: $52.50
Step-by-step explanation:
Since there are four children, to find the cost do the equation $5+(1.25x3)=8.75. That'll be the total for 1 hour for 4 kids. Now you have to multiply that equation by 6. (8.75x6) and that'll be the total. You'll get $52.50.
Consider the function f(x) = 6 sine (x minus StartFraction pi Over 8 EndFraction) + 8. What transformation results in g(x)6 sine (x minus StartFraction 7 pi Over 16 EndFraction) + 1?
Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units up.
Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units up.
Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units down.
Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units down.
Answer:
C
Step-by-step explanation:
edge correct
Answer:
c
bdlkbcksBIBKHBKJBCKSDBVKb vdvkjB;KJBbxjsabcjksbckjbcdmbcbncblkscbn bvklhkhbfmnnsvfuyl. jhilcvew;gflwuw
3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds of bannas X
Answer:
.50 cents per pound
Step-by-step explanation:
Given:
prove:x=15
Statements and reasons
Answer:
i think question is not clear
Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample standard deviation is 2.728. The driver’s manual for Betty’s car lists the mpg for her car as 25. t equals fraction numerator x with bar on top minus mu over denominator begin display style beveled fraction numerator s over denominator square root of n end fraction end style end fraction The t test statistic for a two-sided test would be __________.
Answer:
3.188
Step-by-step explanation:
Given that :
Sample data: 26.5, 28, 30.2, 29.6, 32.3, 24.7
Sample standard deviation (s) = 2.728
Mean (mu) = 25
Tstatistic formula :
(x - mu) / (s/sqrt(n))
n = sample size = 6 ; s = 2.728 ; mu = 25
Sample mean (x) = (26.5 + 28 + 30.2 + 29.6 + 32.3 + 24.7) / 6
Sample mean (x) = 171.3 / 6 = 28.55
Tstatistic = (28.55 - 25) / (2.728 / sqrt(6))
Tstatistic = 3.55 / 1.1137013
Tstatistic = 3.1875692
plz help me im struggling hard
Answer:
0.20 × 65 is what you would do for the second
Step-by-step explanation:
btw listen to yungblud
Note that the cost for the rent is a function of the amount of the miles you drove. Let's call that [tex]C(m)[/tex].
Also note that the amount you pay will linearly increase, in other words, the increase in cost will always be the same for each mile. This tells us that our function is indeed a line, a first order polynomial of the form [tex]C(m) = am+b[/tex]
What would happen if you were to rent a truck and not drive it at all? You would pay only the one-time fee.
Therefore, [tex]C(0)=55[/tex]
So, [tex]C(m) = am + 50[/tex]
The cost will increase by $0.20 for each mile, wich tells us that [tex]a=0.20[/tex]
Finally, our expression is [tex]\boxed{C(m) = 0.2m+55}[/tex]
If we want to know how much would you pay if you drove 65 miles, we want to know what [tex]C(65)[/tex] is.
By plugging [tex]m=65[/tex] in the expression, we get
[tex]C(65) =68[/tex]
So you would pay $68
What do the rhombus and the parallelogram shown below have in common?
O Only opposite angles are congruent.
O Only opposite sides are parallel.
O All sides are congruent.
O Both opposite sides and opposite angles are congruent.
Answer:
Your Answer is D, Both opposite sides and angles are congruent
Step-by-step explanation:
I'm just going to write a load of BS here to see if i cant get the answer to show up so all of you wonderful people don't have to waste so much time on watching a video, so instead you can get your answer for free, and also for a proper explanation I looked this question up, didn't fund anything so I guessed and got it correct, hope this helped.
Answer:
D
Step-by-step explanation:
What is 4 1/8 times 2 1/2
Answer:
[tex]\frac{33}{20}[/tex]
Hope this helps!
i finished the other question but i need help with this one!!!! I will give brainleist
Answer:
1.22 meters aprx.
Step-by-step explanation:
This is talking about meters right. If it is 1.22 would be your answer.
bro I'm really stuck with this, and my brain cells are too small to figure this. out, can someone help me? thank you :)
Answer:
B
Step-by-step explanation:
First isolate the variable, x. To do this, use inverse operations. The inverse operation of -4 is +4. So, add 4 on both sides of the equals sign. The positive 4 cancels out the negative 4 on the left side. Add 4 to the other side, -18, for -14. You are left with 7x = -14. Now to get rid of the coefficient, 7. The inverse of x7 is ÷7. So divide 7x by 7 to completely isolate x. On the right side, -14 is divided by 7 to get -2. You are left with x = -2. Wow that was a ted talk :P Anyway, hope this was helpful ^^ lmk if I need to clarify about anything :D Good day man
I need a little help my son and I do not quite understand we need a little help
Answer:
sin A =cos B
Step-by-step explanation:
sin A =opp/hyp =BC/AB
cos B=adj/hyp = BC/AB
Answer:
its C
Step-by-step explanation:
At Nick's school, 25% of the 72 sixth-grade students wear either glasses or contact lenses. How many sixth-grade students wear either glasses or contact lenses?
Answer:
18 kids
Step-by-step explanation:
72 x .25
18 is 25% or 72
When the Fed is concerned about inflation, it will likely do which of the following?
Answerj, C v v .
Step-by-step explanation:
what is the sum of the interior angles of a 28-gon?
s = (n-2) 180
Answer:
1,00090
Step-by-step explanation:
1.) Look at the figure below.
A
+5
3x
B
What is the measure of ZB?
A 35°
B
71°
С
760
D 105°
Answer:
D
Step-by-step explanation:
HELPPP ME PLEASE I NEEDA HELP
p.s if u see this please answer look at the picture
Answer:
-5+2
Step-by-step explanation:
Answer:
I would say 6 cm too, also can anyone help me on my math? its powers and exponents
Identify the type of sequence shown and select the appropriate response.
4, 24, 144, 864, ...
A) Geometric sequence, common ratio is 6
B) Geometric sequence, common ratio is 20
C) Arithmetic sequence, common difference is 6
D) Arithmetic sequence, common difference is 20
Answer:
the answer is A
Step-by-step explanation:
if you multiple 6 to 4 you get 24. if you multiple 24 to 6 you get 144. if you multiple 144 to 6 you get 864.
I need help with math homework
Answer:
A. (0, 1) and (2, -2)
B. Slope (m) = -³/2
C. y + 2 = -³/2(x - 2)
D. [tex] y = -\frac{3}{2}x + 1 [/tex]
E. [tex] \frac{3}{2}x + y = 1 [/tex]
Step-by-step explanation:
A. Two points on the line from the graph are: (0, 1) and (2, -2)
B. The slope can be calculated using two points, (0, 1) and (2, -2):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{2 - 0} = \frac{-3}{2} = -\frac{3}{2} [/tex]
Slope (m) = -³/2
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (2, -2), and m = -³/2 into the point-slope equation, y - b = m(x - a).
Thus:
y - (-2) = -³/2(x - 2)
y + 2 = -³/2(x - 2)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y + 2 = -³/2(x - 2)
2(y + 2) = -3(x - 2)
2y + 4 = -3x + 6
2y = -3x + 6 - 4
2y = -3x + 2
y = -3x/2 + 2/2
[tex] y = -\frac{3}{2}x + 1 [/tex]
E. Convert the equation in (D) to standard form:
[tex] y = -\frac{3}{2}x + 1 [/tex]
[tex] \frac{3}{2}x + y = 1 [/tex]