Using the interpretation of a confidence interval, it is found that approximately 950 of those confidence intervals will contain the value of the unknown parameter.
A x% confidence interval means that we are x% confident that the population mean is in the interval.
Out of a large number of intervals, approximately x% will contain the value of the unknown parameter.In this problem:
95% confidence interval.1000 samples.0.95 x 1000 = 950
Hence, approximately 950 of those confidence intervals will contain the value of the unknown parameter.
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Find the value of [tex]$6+\frac{1}{2+\frac{1}{6+\frac{1}{2+\frac{1}{6+\cdots}}}}$.[/tex] Your answer will be of the form [tex]$a+b\sqrt{c}$[/tex] where no factor of $c$ (other than $1$) is a square. Find $a+b+c$.
Let
[tex]x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}[/tex]
Then
[tex]x = 6 + \dfrac1{2 + \dfrac1x}[/tex]
and solving for x gives
[tex]x = 6 + \dfrac x{2x + 1}[/tex]
[tex]x = \dfrac{13x + 6}{2x + 1}[/tex]
[tex]x(2x+1) = 13x + 6[/tex]
[tex]2x^2 + x = 13x + 6[/tex]
[tex]2x^2 - 12x - 6 = 0[/tex]
[tex]x^2 - 6x - 3 = 0[/tex]
By the quadratic formula,
[tex]x = 3 \pm 2\sqrt{3}[/tex]
but x must be a positive number, so only the positive square root solution is valid.
[tex]x = 3 + 2\sqrt{3}[/tex]
We identify a = c = 3 and b = 2, so a + b + c = 8.
Does (7,5) make the inequality 16x + 16y 2 12 true?
...........................
Answer:
i think its c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
because -100,-57/8,6
the absolute value of -6 is 6 and
-8 7/8 is 8×(-8)+7=-64+7/8=-57/8 because when negative plus positive we subtract and we take the sign of the larger number
60. Write the equation of a line through the point (-2,6) with a slope -5.
Answer:
y = - 5x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5 , then
y = - 5x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = - 5x - 4 ← equation of line
PLEASE HURRY
Todd drives 2,365 miles in a month. His average MPG is 20. How much will he pay in gas if gas is $3.12 per gallon?
$368.94
$390
$234
$208.12
Answer:
Should be $368.94
Step-by-step explanation:
hope it helps
please mark brainliest
The total cost of 118.25 gallons of gas is $368.94. Therefore, option A is the correct answer.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Todd drives 2,365 miles in a month and the average is 20 miles per gallon
Now, number of gallons =2,365/20
= 118.25 gallons
So, total cost = 118.25×3.12
= $368.94
Therefore, the total cost of gas is $368.94.
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WARM UP ACTIVITY (5 MIN) Ms. Chantel's car can go 228 miles on 6 gallons of gas. During a drive last week Ms. Chantel used 7 gallons of gas. a.) How far did she drive? b).Explain how the problem changes if you were given the distance Ms. Chantel drove last week instead of how much gas she used.
How does the problem change????
Answer:
a. 266
b. if you were given the distance you can just do, the distance divided by 38
Step-by-step explanation:
A. 228/6=38
228+38=266
Can someone please help me with #1,2,3,4 and 5 using a motion detector?
The motion detector measures how far away you are from the device over 5 seconds.
For each graph,come up with a description for what the walker (s) should do (or describe what they did after you see it).
Problem 5
Recall that speed = distance/time. A change in distance over a change in time also represents the slope of the line.
The slope of any given piece represents the walker's speed. Negative slopes mean that the walker is coming closer to the device, while positive slopes mean the walker is moving away.
For instance, a slope of m = -2 means the walker is moving at 2 mph and is moving toward the motion detector. This is just an example of course.
The graph given here starts off with a negative sloped portion. It goes downhill as we move to the right because time always progresses in this fashion (i.e. time is always increasing). So this portion represents the walker moving closer to the device at some unknown speed. We can't calculate the speed because your teacher didn't give you any numbers. So you can make up your own or just give the general sense of what's going on.
For the middle portion, the flat horizontal line means that slope = rise/run = 0/B = 0. Where B is some positive number to indicate a run. The slope being 0 tells us that the speed is 0, which in turn means the person isn't moving at all during this stretch of time.
After being motionless for some unknown amount of time, the walker then moves away from the motion detector. This is because this third portion has a positive slope now.
To recap, we have this summary of motion (or lack thereof)
The person moves closer to the motion detectorThe person is motionlessThe person moves away from the motion detectorEach section has an unknown duration and unknown speed (other than the speed of 0 mentioned). The sections are numbered to indicate the proper order in time in which they happened.
============================================================
Problem 6
It's the same idea as earlier. The person starts off walking away from the motion detector. Then at some point, they turn around and walk back toward the detector until they reach the device itself. How do we know the person reaches the device? Because of the x intercept. This is when y = 0 to indicate the distance to the device is 0 units. The x intercept is where the graph crosses the x axis.
Answer:
The person moves further away from the detectorThe person turns around and moves closer to the detector until reaching the deviceOnce again, we have no idea about speeds or time durations. This time a speed of 0 isn't involved, so the person is never motionless (maybe perhaps for a brief split instant, but that's about it).
============================================================
Problem 7
There are no increasing sections this time. The person never walks away from the motion device at any moment. This is due to the lack of positive sloped sections.
S/he starts at some distance away and walks closer to the device for the first section of time. Then they pause and stay motionless for a while similar to what was discussed in problem 5. Then the person resumes motion to walk to the motion detector until they reach the device. We know they reach it because of the x intercept.
Answer:
The person starts at some distance away and walks closer to the device.The person pauses for some duration.The person resumes motion toward the motion detector.============================================================
Problem 8
This time we're dealing with curved sections, but the idea is pretty much the same. Any time we go uphill, the slope is positive (so to speak) and it represents moments the person is walking away. Any time we go downhill, the person is walking toward the item. Always move to the right because time is always increasing in this fashion.
The smooth curve motion indicates that the person's speed is changing at a more smooth rate, as compared to the sharp pointed jarring changes in speed compared to the other graphs. This is likely a more realistic graph for someone's motion. Someone is very unlikely to change speeds very quickly in such a short instant in time.
Answer:
The person walks away from the deviceThey walk toward the deviceThey change their mind to move awayThey change their mind yet again to come back to the motion detector============================================================
Problem 9
We have four separate disconnected sections that are all flat. This indicates that we have four people at different (unknown) distances away from the motion detector. None of these people are moving.
The unfortunate thing is that this graph is a bit misleading. This graph has the first section end rather than go on forever. The first person (or any other person for that matter) doesn't stop being detected and they aren't magically teleported away. However, the graph is set up like this to avoid failing the vertical line test.
If a cooler contains six cola, two grape, two orange, and four lemon-lime sodas, what is the probability of selecting a cola, giving it to your friend, then selecting another cola for yourself?
Answer:
ok so first of all there is 14 sodas in the cooler(6+2+2+4)
and 6 of these 14 are cola 6/14 or 3/7
so 3/7 then to give your self one we multiple it by 3/7
3/7*3/7=0.18367346938
we multiple by 10
18.367346938
so the probility is 18.37%
Hope This Helps!!!
Problem 3: If a single six-sided die is rolled five times, what is the probability that a six is thrown exactly three times
Answer:
So the probability that a die thrown 5 times will result in a 6 exactly 3 times is 0.03215.
Step-by-step explanation:
HOPE IT HELPS I'M FILIPINO STUDENTS
The sixth number 20210A is prime for only one digit A. What is A?
9514 1404 393
Answer:
A = 9
Step-by-step explanation:
Beyond the first few primes, all prime numbers end in one of the odd digits, 1, 3, 7, or 9. We can reduce this list by using a couple of simple divisibility rules.
The sum of the digits is 2+0+2+1+0+A = A+5. The number will be divisible by 3 if A+5 is divisible by 3. That will be the case for A=1 and A=7.
The sum of odd digits is A+1+0 = A+1. The sum of even digits is 0+2+2 = 4. When these sums are equal, the number is divisible by 11. That will be the case for A=3.
So, we have ruled out all digits except 9. If the number is prime it must be ...
202109
A = 9
_____
Additional comment
To make sure the number is prime, we would need to check divisibility by all primes less than √202109 ≈ 449.
Answer: 9
the answer is 9 because if i root 202109 i get about 446 and if its decimal it prime
Write the logarithmic expression as a single logarithm log4(32) – log4 (4)
A. Log8(4) B. Log8(1/8). C. Log4(28). D. Log4(8)
The low temperatures in December at each of three locations are shown.
Location 1: 18°F
Location 2: –5°F
Location 3: –22°F
Choose each statement that is both true and correctly justified based on this information.
(A) Because 18 < –22, it was colder, on average, at Location 3 than at Location 1.
(B) Because 18 < –22, it was warmer, on average, at Location 3 than at Location 1.
(C) Because –22 < 18, it was colder, on average, at Location 3 than at Location 1.
(D) Because –22 < 18, it was warmer, on average, at Location 3 than at Location 1.
(E) Because –22 < –5, it was warmer, on average, at Location 2 than at Location 3.
Answer:
According to me answer is option C and E
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
HELP ME ASAP!!
Solve the system.
2x - 5y = -8
2x - 5y = 12
Which statement is true?
A. The solution is (1,2).
B. The system has infinitely many solutions.
O C. The system has no solution.
Factor this completely thank you
4(2x raise to power 2-4-7x)
5x + 3y = 4; solve for x.
Answer:
x= - 3/5y +4/5
Step-by-step explanation:
isolate x:
5x+ 3y= 4
5x= -3y+ 4
x= -3/5y +4/5
1 32 multiplied by 0.32 when rounded to the nearest hundredths
Answer:
42.20
Step-by-step explanation:
132 ×0.32
=42.24
rounded off it give 42.20
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha. Which expressions both calculate the number of hours Demetrius works in a 5-day work week? 5 x + 1 and 5 ( x + 1 ) 5 x plus 1 and 5 times open paren x plus 1 close paren ( x + 1 ) × 5 and 5 × x + 1 open paren x plus 1 close paren times 5 and 5 × x + 1 5 ( x + 1 ) and 5 x + 5 5 times open paren x plus 1 close paren and 5 x plus 5 ( x + 1 ) × 5 and 5 + ( x × 1 )
The number of hours worked by both Latisha and Demetrius is; 5x + 5(x+1)
According to the question:
We are required to generate an expression that can be used to calculate the number of hours used to work by Latisha and Demetrius.Since Latisha works x hours per day; In 5 days she works 5x hours.Demetrius works 1 more hour each day than Latisha; In 5 days; she must have worked; 5(x +1) hours.The sum of both of them gives; 5x + 5(x +1).
Read more:
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Rico opens an ice cream shop. The function f ff models the shop's net worth (in thousands of dollars) as a function of time (in months) after Rico opens it. Plot the point on the graph of f ff that corresponds to the shop's net worth when Rico opens it.
Answer: -5
Step-by-step explanation:
Based on the graph given, the point that on the graph that corresponds with the shop's net worth when Rico opened it is -5.
What was the shop worth when it was opened?The point that the shop was opened is represented by the value of the y axis when it was first crossed.
Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Rico.
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Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Answer:
what the first guy said
Step-by-step explanation:
keep adding by 2 and end up with 22
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]Hope you could get an idea from it.
Doubt clarification - use comment section.
Find a polynomial F of X of degree four that has the following zeros. 7, -3, 0, 4 leave your answer in Factored form
Answer:
f(x) = (x - 7)(x + 3)(x)(x - 4)
Step-by-step explanation:
It's just like the roots of a quadratic but with more factors
f(x) = (x - 7)(x + 3)(x)(x - 4)
I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.
Answer: 27 students
Step-by-step explanation: 6 x 4 = 24
24 + 3 = 27
Answer:
27 Students in the class
Step-by-step explanation:
First we have to find out how many people are in the 6 groups of 4. 6x4=24
And of course 1 group of 3 people. Add them together to get 27 people.
24+3=27
If f(x) and f^-1(x) are inverse functions of each other and f(x)=2x+5, what is f^-1(4)?
Answer:
4.5
Step-by-step explanation:
We are here given that ,
=> f(x) = 2x - 5
=> y = 2x - 5
Replace x and y with each other .
=> x = 2y - 5
solve for y ,
=> 2y = x +5
=> y = (x+5)/2
=> f-¹(x) = (x+5)/2
Now ,
=> f-¹(4) = 4+5/2 = 9/2 = 4.5
What is the value of m
35.6 355⅝5555555555555555555545455555555
True or False: This table describes a linear function
Answer:True
Step-by-step explanation:
There is a constant rate of change. For x, it'd be +1. For y, it'd be +3.
Vote brainliest please!
Answer:
true
Step-by-step explanation:
This is because the slope is y= 3x, you can prove that by plugging in the x values, and if they equal the y then that slope is right.
Help please!!!!!!!!!!!!!!
Answer:
Negative
Step-by-step explanation:
Slope is negative since as x increases, y decreases.
Pre college need help
Answer:
C
Step-by-step explanation:
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
Answer:
you told me to resolve this problem
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
you add the thing then multipy it then do math!
Compute r, the correlation coefficient, using the following data.
Answer:
The r=.950
Step-by-step explanation:
Please help me please help please please help me
Answer:
3/2
-4
Step-by-step explanation:
y = mx + c
m = slope = y2 - y1 / x2 - x1
= -4 -2 / 0 - 4
= -6/-4
= 3/2
c = y intercept
y when x = 0
c = -4
Answer:
[tex]y = \frac{2 - ( - 4)}{4 - 0}x - 4 \\ y = \frac{6}{4} x - 4 \\ y = \frac{3}{2} x - 4 \\ [/tex]
SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4
answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.
answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.
the absolute value of 1 is 1
so it is 1 unit above sea level
|_._._._._._._._._._._._|
-5,-4,-3,-2,-1,0,1,2,3,4,5