Answer:
The 95% confidence interval is [tex] 3.462 < \mu < 4.138 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is [tex]\= x = 3.80[/tex]
The standard deviation is [tex]\sigma = 1.19[/tex]
Given that the confidence level is 95% then the level of confidence is mathematically represented as
[tex]\alpha = (100 - 95)\%[/tex]
=> [tex]\alpha = 0.05 [/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 50 -1 = 49[/tex] is
[tex]t_{\frac{\alpha }{2} ,49 } = 2.0096[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E =2.0096 * \frac{1.19}{\sqrt{ 50} }[/tex]
=> [tex]E = 0.3381 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex] 3.80 -0.3381 < \mu < 3.80 +0.3381[/tex]
=> [tex] 3.462< \mu < 4.138 [/tex]
1. I mark as brainliest
Answer:
d
Step-by-step explanation:
The formula κ(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. f(x)=−5x2 The curvature function is κ(x)=nothing.
Answer:
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = [tex]-5x^2[/tex]
first Determine the value of F'(x)
F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. What is Herman’s final position, relative to ground level?
Answer:
Are there answers
Step-by-step explanation:
Answer:
answer
Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. ...
Which line of poetry is marked correctly with weak and strong beats?
Answer:
2nd answer
Step-by-step explanation:
It has a lot of strong beats and the rhythm sounds better than A and C.
someone help me on 2 and 3 plssssss
Answer:
<MSDBEF
Step-by-step explanation:
vqswdhbjfknhbdncdsujhc,f,jfd.sjbdvkjzsfnvb;krjbsv
i mark as brainliest
Answer:
I want to say 6.75 just because it's to small tho
Step-by-step explanation:
Answer:It's -6.75 because you can see the halfway point and how the dot is closer to -7 than -6 meaning it's bigger than -6.5
Step-by-step explanation:
what is the slope of the line shown below?
Answer:
A
Step-by-step explanation:
the answer is A because you can tell the line has a negative slope since its going from left to right rather than right to left and then you do rise/run so the rise=2 and the run=3 so the answer for slope would be -2/3
Answer:
-2/3
Step-by-step explanation:
First you need to find two exact points the use your formula. I used (0,1) and (-3,3).
y2-y1 / x2-x1
Or just use rise over run and count up 2 and across to the left 3 and also realize it's a negative slope going down from the left so your answer will be negative.
I hope I helped you. You can comment if you need anymore help.
You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
110d=1620
Step-by-step explanation:
110d=1620
divide by 110 on each side
d=14.2727272727
so about 14 more diamonds need to be collected to move onto the next level
Giving out brainlst to whoever can answer this
A delivery driver earns a fixed amount for each delivery she makes, and
yesterday her average hourly wage was $16.50 an hour. If she worked 6 hours
yesterday and made 11 deliveries, how much does she earn for each delivery
made?
O A. $9.90
O B. $9.00
O C. $5.50
O D. $5.00
Answer:
9 dollars or B
Step-by-step explanation:
16.50 (hourly wage) x 6 (hours worked) = 99 dollars
$99/11 deliveries= 9 dollars per delivery.
There are 800 rooms on the Voyager cruise ship, and 60% of them have a balcony. How many of the rooms have a balcony?
Answer:
480
Step-by-step explanation:
Your brother asked you to help him build a bookcase for your next-door neighbor. Since he is doing most of the work, you get 3 dollars for every 5 dollars he makes. He got paid 67 dollars. How much did you get paid?
Answer:
So, friend Let me solve the question for you :
let's use disturbutive property
67 x 5 - 67 × 3
67 × (5-3)
67 ×2 = 134
Step-by-step explanation:
Hope it. helps PISas Markbrainliest
Answer:
You got paid $40.20
Step-by-step explanation:
First let's find out how many 5's they gave him:
$67 (brother's money) ÷ 5 = 13.4 (how many times they paid him)
Now we find out how much money they gave you:
$3 (how much they give you) x 13.4 = $40.20 (your total money)
10 and 11.Is this relation a function?
у
3
6
7 6 5 4
5
3
2
.
1
.
-2 -1
-1
1 2 3 4
g
6 7
8x
8
-2
-3
Yes, this is a function. It does pass the vertical line test.
No, this is not a function. It does NOT pass the vertical line test.
11
What is the independent variable of the following statement?
Luke
goes to the store to buy some candy, The more money he has, the more candy he will buy.
The amount of candy he buys
The amount of money he has
The store he goes to
The type of money he has
please help me. the picture can help me..
Answer:
i'm too lazy 2 do this rn, but just divide each price by the amount of water per pack. which ever one is the least is ur answer :p
Step-by-step explanation:
Answer:
Store 3
Step-by-step explanation:
May i have brainiest
When you reverse the digits in a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 9?
Answer:
72
Step-by-step explanation:
x+y=9 possible numbers
1 and 8
2 and 7
3 and 6
4 and 5
9 and 0
so
81-18=63
72-27=45 so this is the right number
63-36=27
54-45=9
90-9=81
The listed occupations of stockholders of a national computer company included 9% who were housewives. If six of these stockholders are randomly selected, what is the probability that none are housewives?
Answer:
no se la respuesta
Step-by-step explanation:
no se la respuesta
The probability that none of the six selected stockholders are housewives is,
⇒ 56.8%
The term probability refers to the likelihood of an event occurring. Probability means possibility.
The probability of an event occurring can be calculated by subtracting the probability of the event not occurring from 1.
Given that,
The listed occupations of stockholders of a national computer company included 9% who were housewives.
Since 9% of the stockholders are housewives.
Hence, the probability that a randomly selected stockholder is not a housewife is,
= [tex]1 - 9%[/tex]%
= [tex]1 - 0.09[/tex]
= [tex]0.91[/tex]
So, The probability that none of the six selected stockholders are housewives is,
⇒ [tex](0.91)^6[/tex]
⇒ [tex]0.5678[/tex]
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6m + 4n + 3m - 6
What are the coefficient[s]? Separated them with a comma
Answer:
6,4,3
Step-by-step explanation:
A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything
Answer:
6,4,3, and -6
Step-by-step explanation:
These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.
plz help me out with this idk if i did it right<3
Answer:
The first and third ones are correct
Step-by-step explanation:
Hope this helps (:
Answer:
The 4th and 5th one seem to be correct.
Please find the area and circumference of
the circle below
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
Algebra Find the missing number.
12. 34 – 8 = 35 -
n 5
Topic 6 Lesson 5
I need help ASAP. thank you in advance!
Answer:
True, depending on where f(x) is located
Step-by-step explanation:
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) an
The sequence converges to a limit of 1/2.
We have,
Let's simplify the nth term of the sequence:
an = (n^2 + 3n) / (2n^2 + 5)
Dividing both the numerator and denominator by n^2, we get:
an = (1 + 3/n) / (2 + 5/n^2)
As n approaches infinity, the terms 3/n and 5/n^2 both tend towards zero.
Therefore, we have:
an = (1 + 0) / (2 + 0) = 1 / 2
The nth term of the sequence simplifies to a constant value of 1/2 as n approaches infinity.
Since the nth term converges to a specific value (1/2), the sequence itself is convergent.
The limit of the sequence is 1/2.
Thus,
The sequence converges to a limit of 1/2.
Learn more about sequence convergence here:
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The complete question:
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the sequence diverges, enter DIVERGES.)
Consider the sequence defined by the nth term an = (n^2 + 3n) / (2n^2 + 5).
What are the domain and range of f (x)= -27
Answer:
Domain: (-∞,∞)
Range: {−27}
Write the equation of the line that passes through the given points.
(0,5) and (-2,-4)
Answer:
[tex]y=\frac{9}{2}x+5[/tex]
Step-by-step explanation:
To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]y=\frac{5-(-4)}{0-(-2)}=\frac{9}{2}[/tex]
So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
Pugging in 9/2 for m and 5 for b we get:
[tex]y=\frac{9}{2}x+5[/tex]
which would be our equation.
I hope this helps. Happy studying.
The variables x and y vary directly. Given the equation y = 2x , find the value of x when
y = 10.
Answer:
The variables x and y vary directly. Given the equation y = 2x , find the value of x when
y = 10.
a.
10
c.
20
b.
5
d.
8
Please select the best answer from the choices provided the Answer is B. 5
Step-by-step explanation:
Alex has to fill his 10 gallon fish tank with water. He only has a 1 pint bucket. How many times will he have to fill his bucket to fill the tank?
Answer:
80
Step-by-step explanation:
8 pints in a gallon so then you multiply 8 x 10 and get 80
The formula for the area of a triangle is A = Abh, but...
Answer:
But....
Area of triangle = 1/2 × base / height.
FOLLOW ME
Answer:
area = base * height divided by 2
Step-by-step explanation:
A triangle is basically half a square, so you divide it by 2 after you multiply the base and height
John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.50. They spend a total of $19.90. Find the cost of one large drink.
Complete the point-slope equation of the line through (2,3)(7,4)
y-4=
10. Suppose that we have 50 balls labeled 0 through 49 in a bucket. What is the minimum number of balls that we need to draw to ensure that we get at least 3 balls which end with the same digit
Answer:
21 drawings
Step-by-step explanation:
The number labelings are 0 - 49
The minimum set that could be the same number is the labeling 0, 10 , 20
It could also be 1, 11, 21 or even 2,12,22
In all the cases, we can be sure that we might have three labelings ending with the same number when we pull our ball labeled 20
That makes a total of 21 drawings
Following are the response to the given question:
Pigeon Hole's Principle can also be used to tackle this problem. Assuming that we already have labels ranging from [tex]0\ to\ 49.[/tex]
We possess five balls which conclude with the number 0 [tex]\text{(ball \ 0, ball\ 10, ball\ 20, ball\ 30, and\ ball\ 40)}.[/tex] We possess five balls which conclude with the digit 1[tex]\bold{(ball\ 1, ball\ 11, ball\ 21, ball\ 31, ball\ 41)}.[/tex] .....I have five balls that end in the number 9 [tex]\text{(ball\ 9, ball\ 19, ball\ 29, ball\ 39, and ball\ 49)}.[/tex]Each digit ending is represented by five balls.
In the pigeonhole principle, it [tex]kn+1[/tex] objects [tex](k \geq 1)[/tex] are distributed among n boxes, one of the boxes will contain at least [tex]k+1[/tex] objects. Assume that you draw a ball and place it in a box labeled with its last digit. So there will be n = 10 boxes.
Box 0: we place balls that end in the digit 0. Box 1: we place balls that end in the digit 1. .....Box 9 is where we put balls that end in the number 9.According to the pigeon hole concept, you need to draw [tex]kn+1[/tex] balls to assure that at least one of the boxes includes [tex]k+1[/tex] objects. Because [tex]k+1 = 3,[/tex] we require three objects in at least one box (we need three balls ending with the same digit).
[tex]k + 1 = 3 \\\\k =2[/tex]
Therefore, we have to draw [tex]kn+1[/tex] balls, [tex]k = 2, n = 10[/tex], at least[tex]21\ balls[/tex] must be drawn to ensure that at least three of them have the same 1 digit.
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