Answer:
Answer:
0.25±0.095
Step-by-step explanation:
P^= 20/80=.25
sample size n= 80
z*=1.96
p^± sqr(p^(1-p^)/n)
=0.095
Step-by-step explanation:
The 95% confidence interval for the proportion of all students at the school that ate breakfast every day last week is 0.25 +0.080.
Given thatFatimah wants to estimate the proportion of students at her school who ate breakfast every day last week.
She takes an SRS of 80 of the 1000 students at her school and finds that 20 of those sampled ate breakfast every day last week.
We have to determineBased on this sample, which of the following is a 95% confidence interval for the proportion of all students at the school that ate breakfast every day last week?
According to the questionShe takes an SRS of 80 of the 1000 students at her school and finds that 20 of those sampled ate breakfast every day last week.
[tex]\rm P = \dfrac{Sample \ space}{Total \ SRS}\\ \\ P = \dfrac{20}{80}\\ \\ P = \dfrac{1}{4}\\ \\ P = 0.25[/tex]
Therefore,
The 95% confidence interval for the proportion of all students at the school that ate breakfast every day last week is
=[tex] = 1.96 \times \sqrt{\dfrac{0.25(1-0.25)}{80}}\\ \\ = 1.96 \times \sqrt{\dfrac{0.25\times 0.75}{80}}\\\\ = 1.96 \times 0.40\\\\ = 0.080[/tex]
Hence, The 95% confidence interval for the proportion of all students at the school that ate breakfast every day last week is 0.25 +0.080.
To know more about Confidence intervals click the link given below.
https://brainly.com/question/15682003
Helpppppppppp sjsndkejsnsnsb
Answer:
18.8 fleck dickon Dunn dream fun deep
You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless, and staring you down. (Or perhaps she does not understand the gravity of the situation.) Regardless, if you simply hit your brakes, after t seconds, the car will be j(t) = 95t - 9t^2 feet from the point where the brakes were first applied.
1) Must you steer to avoid the cow, or can you rely solely on your brakes? Explain.
2) Graph J(t), j'(t), and j"(t) and Interpret their meanings in context.
3) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
4) Write a piece-wise function using j(t) that would more accurately model the path of the car on the interval [0, 10], assuming the car did not move after it stopped. Sketch this graph and its derivative.
Answer:
1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.
2) See attached picture.
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Step-by-step explanation:
1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:
[tex]j(t)=95t-9t^2[/tex]
[tex]j'(t)=95-18t[/tex]
and we set the first derivative equal to zero so we get:
95-18t=0
and solve for t
-18t=-95
[tex]t=\frac{95}{18}[/tex]
t=5.28s
so now we calculate the position of the car after 5.28 seconds, so we get:
[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]
[tex]j(5.28)=250.69ft[/tex]
so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.
2) For answer 2 I take the second derivative of the function so I get:
[tex]j(t)=95t-9t^{2}[/tex]
[tex]j'(t)=95-18t[/tex]
j"(t)=-18
and then we graph them. (See attached picture)
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
HELP ASAP
which expression can be used to solve 2/3 divided by 1/6
A. 2/3 x 1/6
B. 2/3 x 6/1
C. 3/2 x 1/6
D. 3/2 x 6/1
Answer:
B
Step-by-step explanation:
2/3 ÷ 1/6
=2/3 × 6/1
sorry if I got it wrong
Answer:
A
Step-by-step explanation:
it a because 2/3 yout divide that then you divide 1/6 right you just have to find the one that matches the number 2/3 1/6 so it A
Find the surface area of the rectangular prism.
HELP ME PLS ASAP PLS PLZ
An expression equivalent to -4(2k-6)
Answer:
-8k + 24
Step-by-step explanation:
Is your expression.
Find the unknown value in the proportion. 3/5 = x/20. what is the value of
X?
WORTH 25 points!! NEED ASAP!! REALLY IMPORTANT
Answer:
V = (4.2)(7.5)·w
if w = 2 then V = 63 ft³
Step-by-step explanation:
V = l·w·h
V = (4.2)(7.5)(2)
V = 63
Which of the following statements is true about the unknown leg length? Select that apply.
Answer:2,3,5 srry that I am late just did the question
Step-by-step explanation:
I need the median for 1,6,9
Multiply the following using the vertical multiplication method:
x2 + 5x +1
x3x2 - 2x +4
O
A. 3x4 - 13x3 +3x2 + 18x + 4
B. 3x4 - x2 + 3x2 + x + 4
o
C. 3x4 + x2 + x2 +18x + 4
o
D. 3x4 +13x3 - 3x2 + 18x + 4
Answer:
a I think I might be a try it tell me if I am wrong
Identify the y-intercept of the graph below
Answer:
I want to say it's A
Step-by-step explanation:
the y-intercept is where the line crosses through the y-axis.
Question
Example
Step by Step
The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2.11) and
B7, 1). Find the equation of the line that contains the given segment
The line segment is BC.
The equation is y =
llo
15. Paula bought a ski jacket on sale for $20
less than half of its original price. She
paid $68 for the jacket. What was the
original price?
Answer:
Step-by-step explanation:
P/2-20=68, add 20 to each side
P/2=88, multiply each side by 2
P=$176
The original price was $176
midsegment of a trapezoid find x
Answer:
x = 7
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
NP = (JK + ML)/2
Substitute
45 = (3x + 11 + 10x - 12)/2
2*45 = 13x - 1
90 = 13x - 1
90 + 1 = 13x
91 = 13x
Divide both sides by 13
91/13 = x
7 = x
x = 7
What is the equation of line d and c? What is the slope of line d and line c?
Answer:
Step-by-step explanation:
I understand why this was kind tough
the slope of line d is infinite and the slope of line c is zero
so line c 's equation looks like y = 3 ... it's kinda confusing but the line is always 3 so you could pick any x value and y = 3 still. the equation y=3 doesn't rely on x at all to answer it. But x is part of the "frame work" that is implied.
line d is x = 3 , again , y is part of the "frame work" and implied that y doesn't matter in this equations, you always have x = 3 .. or a vertical line , btw. line d does NOT pass the vertical line test , and therefore isn't a function, so the question is wrong, that d will have an equation, b/c there is an implication that d is a function when you say "what is the equation to line d" that is must be a function. But in this case it's not. hm :/ food for thought
i know this isnt math but pls help me with this ASAP
some of the darwens spiders have different traits for flexibility because they each got different different traits from each parent. like offspring A and C got their traits from their mother. offspring B got its traits from its father. and Offspring D got their traits from both mother and father.
I hope this helps
The lines below are parallel. If the slope of the green line is -2, what is the
slope of the red line?
Answer:
C. -2
Step-by-step explanation:
All parallel lines have the same slope
ineeeddddddyoooouuuurrrrr hhhheeeellllpppp ppppllllssss
Answer:
d. you just have to multiply everything
What is the equation of a line that has a slope of -3 and passes through the point (2,5)?
A y=-3x - 1
B. y=-3x +11
C.y= 2/5x -3
D. y=5/2x-3
Answer:
B
Step-by-step explanation:
the answer is B y=-3x+11
Find the missing angle
bro what angle I don't see one here so how we are able to solve this problem
Help PLS ILL GIVE BRAINLIEST FOR CORRECT ANSWER
A: 4.5 ounces
B: 8 ounces
C: 280 ounces
D: 288 ounces
Answer:
what's the question for this?
What is the distance between point (5, 9) and its reflection across the x-axis?
Answer:
10 units
Step-by-step explanation:
Plz answer will mark brainliest
Answer:
Step-by-step explanation:
w and d are the width and diagonal, respectively.
w = d/2 + 1 = (d+2)/2
Pythagorean theorem
w^2 + 8^2 = d^2
substitution
(d+2)^2/4 +64 = d^2
(d+2)^2 + 256 = 4d^2
d^2+4d+4 + 256 = 4d^2
3d^2-4d-260 = 0
Quadratic formula
d = [4±√( 4²-4(3)(-260))]/[2⋅3] = 10, -26/3
-26/3 is an extraneous solution, so d = 10 inches
w=d/2 +1 =6 inches
Ant‘s path = 8+6 = 14 inches
Beetle’s path = 10 inches
14 < 1.5(10)
Ant reaches food first.
What is the value of n ?
Answer:
n=10
Step-by-step explanation:
5n-20=3n
-20=-2n
10=n
Find the measure of 2.
50 2.
1130
< 2 =
[?]
Evaluate each expression if m = 3 and n = 7. n to the power of 2 - 2m plz
Answer:
[tex]7^{2}[/tex] -2 * 3 is equal to 43
Step-by-step explanation:
4/15 x 6 in simplest form
Answer:
1.6
Step-by-step explanation:
What is the area of the shaded region in the figure?
Answer:
look at the picture i sent please
Help
Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups
Group of answer choices
Answer: it hold 8 cups
Step-by-step explanation:
May I plz get brainlest
If she has 4 pints and 2 cups, and pints still needs converted, then multiply 4 by 2 to get the number of cups per pint. so she has 8+2 cups, or 10 cups in her water bottle
---
hope it helps
PLEASE HELP WILL MARK BRAINLIEST!!
What is the value of j?
Answer:
21
Step-by-step explanation:
simply
the square represents 90 degrees and 90 - 61 is 21