Answer:
The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Step-by-step explanation:
Data: 14.25, 13.7, 14.02, 14.13, 13.99, 14.0
Mean = [tex]\frac{Sum}{n}=14.015[/tex]
Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]
Claim : Average number of fluid ounces in the cup should be 14.
Null hypothesis : [tex]H_0:\mu = 14[/tex]
Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]
n = 6
[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]
t critical > t calculated
So, we failed to reject null hypothesis
So, Option B is true
Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
The equation of a linear relation is y = -4x + 9
The missing number in the order pair is ( -15)
Answer:
6.
4.
Step-by-step explanation:
We need the value of x when y = -15:
-15 = -4x + 9
-4x = -15 - 9 = -24
x = 6.
-15 = -6x + 9
-6x = -24
x = 4.
Evaluate each expression for s=4 and t=8
1) (25)^2t
2) 2st^2-5^2
3) 2s^2-t^3/16
Answer:
1. 2.328×[tex]10^{22}[/tex]
2. 487
3. 30.52 OR 0 (see explanation↓)
Step-by-step explanation:
1.[tex](25)^{2t}[/tex]
(sub for t=8)
=[tex]25^{2*8}[/tex]
=[tex]25^{16}[/tex]
=2.328×[tex]10^{22}[/tex]
2.[tex]2st^{2} -5^{2}[/tex]
(sub for s=4 and t=8)
=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]
=512-25
=487
3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)
FOR [tex]2s^{2} -t^{3/16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]
=32-1.476826146
=30.52 (to the nearest 2 decimal place)
FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]
=32-32
=0
Lollollollollollollollollollollollollollollollollollollollollollollollollollollollollol pt. 3
lolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllol
here's a picture of a seal
i hope you like it
10/3 = x/ (-5/2) what does x equal
The answer to the equation is [tex]x=-\frac{25}{3}[/tex]
First, you must cross multiply the fractions.
[tex]10*-\frac{5}{2} =x*3[/tex]
[tex]-25=3x[/tex]
Then, you must flip the equation.
[tex]3x=-25[/tex]
Finally, divide 3 on each side
[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]
[tex]x=-\frac{25}{3}[/tex]
The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP
Answer:
L = 20
W = 10
Step-by-step explanation:
L = (w + 10)
NL = (w + 13)
Divide 299 by 13:
299 ÷ 13 = 23
So, 23 x 13 = 299
L = 23
W = 13
Subtract 3 from both to get the original length and width
which expression means 8 less twice a number
8-2n
2n-8
Answer:
I think 2n-8 because you are taking 8 away from 2 times a number
Step-by-step explanation:
9(9r + 3s - 9)
Evaluate this
Question 2 of 5
Select the story problem that this division problem represents.
3
4
1
5
A. A mosaic has an area of square foot and a width of foot.
What is the length of the mosaic?
B. A piece of wrapping paper is yard wide and yard long. What is
the area of the wrapping paper?
C. The area of a wetland is į square mile, and it is mile in length.
How wide is the wetland?
D. A whiteboard is meter long and has an area of 1 square meter.
How wide is the whiteboard?
Answer:
The answer is below
Step-by-step explanation:
A) Given that the area of the square a square foot = 1 ft², the width = 1 foot
Area = length × width
1 ft² = length × 1 ft
Length = 1 ft²/ 1 ft = 1 ft
B) Given that length of wrapping paper = 1 yd, width = 1 yd.
The area of the paper = length × width = 1 yd × 1 yd = 1 yd²
C) Given that the area of the wetland is a square mile = 1 mile², the length = 1 mile
Area = length × width
1 mile² = 1 mile × width
width = 1 mile²/ 1 mile = 1 mile
D) Given that the area of the square a square meter = 1 m², the length = 1 meter
Area = length × width
1 m² = 1 m × width
width = 1 m²/ 1 m = 1 m
Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1
9514 1404 393
Answer:
y = -1/3x -1
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...
m = -1/3
Only one answer choice has that value as the coefficient of x:
y = -1/3x -1
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
What is y = -2/9x + 2 written in standard form?
which number value is in The Ten Thousands place of 272,114
Answer:
7
Step-by-step explanation:
2 is thousands so 7 must be ten thousand
I need help on thisss
Answer:
1) 4 pots
Left over 2
2) 168 to make 12
122
3) 9
18
Step-by-step explanation:
If an orthocenter lies inside of a triangle, then the triangle must be O isosceles. O acute. obtuse. o right
If an orthocenter lies inside of a triangle, then the triangle must be acute.
Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle. The third altitude usually pass through the point of the first two altitudes.
When the orthocenter lies inside a triangle, the angles formed by the intersection of the three altitudes is less than 90 degrees.An acute triangle is a type of triangle whose angles are less than 90 degrees.Thus, If an orthocenter lies inside of a triangle, then the triangle must be acute.
Learn more about orthocenter here: https://brainly.com/question/6944944
Answer:D ( acute)
Step-by-step explanation:
edg
Select all ratios that are equlvalent to 4:8
Answer:
1/2, 2/4, 4/8
Step-by-step explanation:
because they are all one half then they are equal
What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
0-3
0 -1
O 2
O4
PLEASE HELP :)
a number increased by 8 is equal to 48
Answer:
6
Step-by-step explanation:
if you do 48 divided by 8 it equals 6 so therefore the number that would increase it would be 6 because 6x8 equals 48.
hope this helps
Rob lost 24 lounds in 6 months of his diet, then lost 16 pounds in 2 months. Find his average weight lost.
Answer:
4 pounds a month
Step-by-step explanation:
is that what you're looking for
The average weight lost per month is 5 pounds.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.
Total weight lost = 24 + 16 = 40 pounds
Total time taken to lose the weight = 6 + 2 = 8 months
Average weight lost = Total weight / Total time
= 40 / 8
= 5
Hence there is a weight of 5 pounds lost per month.
To learn more about Division, click on the link given below :
https://brainly.com/question/21416852
#SPJ2
PLEASE HELP ME!
I would really appreciate it.
Answer:
Step-by-step explanation:
It's D the reasoning here is just look at the points at the graph and their x y coordinate
Who makes it, has no need of it.
Who buys it, has no use for it.
Who uses it can neither see nor feel it.
What is it?
It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.
The person who is using it has passed away so they can't see or feel anything.
:( This is one morbid riddle.
goyeggoyeceo y sit stuu try steet8eitccetiectoce58
Step-by-step explanation:
yeti et87stps tu et8 e85et 8
u0r as8tcc85e7ce5ctce5e5c8cr6
I ts its 7w496 w4y rs9rr s77
1/2 times 4 /please answer for me :)
Answer:
2
Step-by-step explanation:
1/2*4 = 2
hope this helps
Write an algebraic expression for 27 less than a number.
Answer:
n-27
Step-by-step explanation:
If we assume the number is n, the expression will be n-27. You could use any other variable, too. Hope it helps!
Answer:
f - 27
Step-by-step explanation:
we don't know the number that's being subtracted so it would be any integer minus 27
PLZZZZ HELPPPP I WILL MAKE YOU BRAINLIEST ANSWER PLZZZZZ THANKYOUUU!!!!!!!
Tyler Invests $7900 in two different accounts. The first account paid 9 %, the second account paid 8
% in Interest. At the end of the first year he had earned $674 in interest. How much was in each
account?
$
at 9 %
$
at 8 %
Answer:
the dollar for 9 interstate is 16 rupees is and interest rate for 88 percentage is is 14 rupees
Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finda a piece of string that is is 4.25 feet long. how much string will Melissa have left over
Answer:
You will have .38 feet left of string
Step-by-step explanation:
Just subtract the numbers
Have a good day!
Answer:
0.38
Step-by-step explanation:
4.25-3.87=0.38
The function g(x) = -|x| is a transformation of the absolute value parent function. What does this graph look like?
Answer && Step-by-step explanation:
We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right
it will always be negative due to the negative sign being outside the abs val,
and the abs val, making the inside positive.
thus the resulting graph will be inverted from what was previously said
it will now come from the bottom right to the top left (still a diagonal line)
i mark as brainliest
Answer:
5 and 39/40.
Step-by-step explanation:
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
[tex]\^ p =\frac{k}{n}[/tex]
=> [tex]\^ p =\frac{14}{16}[/tex]
=> [tex]\^ p = 0.875 [/tex]
The null hypothesis is [tex]H_o : p = 0.5[/tex]
The null hypothesis is [tex]H_o : p > 0.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }[/tex]
[tex]z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }[/tex]
[tex]z = 3[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > 3)[/tex]
From the z table the probability of Z>3 is mathematically represented as
[tex]P(Z > 3) = 0.0013499[/tex]
So
[tex]p-value = 0.0013499 [/tex]
Let assume the level of significance is [tex]\alpha = 0. 05[/tex]
Generally from the value obtained we see that [tex]p-value < \alpha[/tex] Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
A architect made a scale drawing of a house to be built. The scale is 2 inches to 3 feet. The house in the drawing is 24 inches tall. How tall is the actual house?
Answer:
36 feet.
Step-by-step explanation:
2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.
five times the sum of a number and four
here is the Answer:
5(x+4)
Hope it helps