Complete Question
Each of the following hypothetical data set represents some repeated weighing of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..
The data in grams are
100.02 , 99.98 , 100.03
Answer:
The p-value is [tex]p-value =0.5798[/tex]
Step-by-step explanation:
Generally the sample mean of the given data is mathematically represented as
[tex]\= x = \frac{100.02 + 99.98 + 100.03 }{3}[/tex]
[tex]\= x =100.03 \ g[/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{\sum [x_i - \= x]^2 }{n-1} }[/tex]
=> [tex]s = \sqrt{\frac{[ 100.02 - 100.01]^2+ [ 99.98 - 100.01]^2+[ 100.03 - 100.01]^2 }{3-1} }[/tex]
=> [tex]s = 0.02645[/tex]
The null hypothesis is [tex]H_o : \mu = 100[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 100[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 3 - 1[/tex]
=> [tex]df = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 100.01 - 100 }{\frac{0.02645}{\sqrt{3} } }[/tex]
=> [tex]t = 0.655[/tex]
From the t distribution table the probability corresponding to the t to the right of the bell curve at a degree of freedom of [tex]df = 2[/tex]
[tex]P( T > 0.655 ) = 0.2899[/tex]
Generally the p-value for this two tailed test is mathematically represented as
[tex]p-value = 2 * P(T > 0.655)[/tex]
=> [tex]p-value = 2 * 0.2899[/tex]
=> [tex]p-value =0.5798[/tex]
I'll mark brainly for who ever answers
Answer:
B
Step-by-step explanation:
Let the width be x, and the length be y
xy = 50
y = 2x
2x^2 = 50
x^2 = 25
x = 5
y = 10
3*8 = 24
Answer:
B
Step-by-step explanation:
Let the width be x, and the length be y
xy = 50
y = 2x
2x^2 = 50
x^2 = 25
x = 5
y = 10
3*8 = 24
Solve the following equations all of six
Answer:
First one x=2 y=7 (2,7)
second one top right x=-2
Mid left: x=-5 and y=9 (-5,9)
mid right: x=4 and y=−1 (4,-1)
Bottom left: x=6 and y=−2 (6,-2)
Bottom Right: x=−4 and y=−5 (-4,-5)
Step-by-step explanation:
IM GOING LEFT TO RIGHT FROM UP TO DOWN
1. 2x+y=11
7x=14
rewrite them like this
7x=14;2x+y=11
solve for 7x=14
7x=14
x=2
Substitute 2 for x in 2x+y=11
(2)(2)+y=11
y+4=11
y=7
2. −7x=14;9x+8y=6
9x+8y=6
-7x=14
fist solve for x
x=-2
Then substitute in first equation
y=3
3. 6x+4y=6;3x=−15
6x+4y=6
3x=-15
solve for x
x=-5
Then plug in and solve
(6)(−5)+4y=6
4y=36
y=9
4. 7x+4y=24;4x=16
same process solve for x and plug in
x=4 and y=−1
5. 5x+8y=14;4x=24
same process
x=6 and y=−2
6. x-5y=21;-6x=24
same process solve for x and plug it in
x=−4 and y=−5
Hope this helps
Mr. Dey took out Rs.5000 from his bank. He took 40 notes of 50 Rupees each and the remaining amount in 20 Rupees notes. How many 20 Rupees notes did he take? *
Answer:
150
Step-by-step explanation:
Start with Rs.5000.
40 notes of 50 Rupees each = 40 * Rs.50 = Rs.2000
Rs.5000 - Rs.2000 = Rs.3000
He took Rs.3000 in 20 Rupees notes.
Rs.3000/Rs.20 = 150
Answer: He took 150 20-Rupee notes
Answer:
150
Step-by-step explanation:
We know that he took out Rs.5000 from the bank and that he took 40 of the 50 Rupees notes. We have to subtract to find the amount he took in 20 Rupees notes and then divide by 20 to find the number. 40*50 = 2000 and 5000 - 2000 = 3000. After that, 3000/20 = 150, so that means that Mr. Dey took out 150 notes of 20 rupees.
PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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A type of new car loses 20% of its value in its first year.
It loses 15% per year in every year after the first. Graham buys one of these new cars.
Work out the percentage of its value that it has lost after five years.
Give your answer to the nearest whole number.
Answer:63%
Step-by-step explanation:
if 2years=25%loss
Then 5years=5/2×25%
=62.5%~63%
Answer:
After a year, your car's value decreases to 81% of the initial value. After two years, your car's value decreases to 69% of the initial value. After 3 years, your car's value decreases to 58% of the initial value.
UMM SOMEONE CAN HELP ME I need to do this using the distributive property and collecting like terms.
8 − 4 ( 1/8r −3 1/2
Does anyone know what is -17+8y=2x?
How is counting by 100 and 1,000 like counting by 1 and 10?
Answer:
it just takes longer
Step-by-step explanation:
you count by 1 from 100 until 1000
Answer:
It just take more time.
Step-by-step explanation:
The more 0's the more you count
The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conclusion is true about the triangles?
They are congruent by the definition of congruence in terms of rigid motions.
They are similar by the definition of similarity in terms of a dilation.
The ratio of their corresponding sides is 1:3
The ratio of their corresponding angles is 1:3.
Answer:
B
Step-by-step explanation:
They are similar by the definition of similarity in terms of a dilation.
What is similarity in terms of dilation in Mathematics?Two figures must have congruent (equal) comparable angle measures and proportional sides in order to be considered similar. Dilations produce comparable numbers because adding the scale factor produces proportional sides while keeping the angle measurement and form constant.
Given
In GHI ,
GH = 3cm [using distance formula]
HI = 5.65 cm
GI = 6 c
In JKL,
JK = 2.2361 cm
KL = 2.8284 cm
JL = 3 cm
To know more about dilation refer to :
https://brainly.com/question/3457976
#SPJ2
A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters. Compute the p-value for testing whether the population mean is larger than 6 centimeters.
Answer:
0.0239
Step-by-step explanation:
[tex]H_0;\mu=\sigma[/tex]
[tex]H_a;\mu>6[/tex]
[tex]\bar{x}=6.08[/tex] = Mean
[tex]s=0.44[/tex] = Standard deviation
[tex]n=121[/tex] = Sample size
Test statistic is given by
[tex]\dfrac{\bar{x}-\mu}{\dfrac{s}{\sqrt{n}}}=\dfrac{6.08-6}{\dfrac{0.44}{\sqrt{121}}}\\ =2[/tex]
From T table we know it is a right tailed test.
Degree of freedom = [tex]n-1=121-1=120[/tex]
[tex]P(t>2)=1-P(t<2)\\\Rightarrow P(t>2)=1-0.9761\\\Rightarrow P(t>2)=0.0239[/tex]
Hence, p-value is 0.0239.
What is the solution to the equation 5 +b= 18? 1
Answer:
13
Step-by-step explanation:
Take 18 minus 5 and the answer is 13.
When Ryan started a daily exercise routine, he lost
18% of his weight. He now weighs 180.4 pounds.
of What was Ryan's weight before he began to exercise?
Please help me and show your work on how you got it so I can learn please):!
Mrs. Postler’s dinner costs $36.00. She wants to leave 20% tip. How much money should Mrs. Postler leave to cover her bill and tip?
Answer:
43.2
Step-by-step explanation:
so you would multiply 36 by .20 or .2 and you would get a answer so you add it to your original amount
What’s 4x4x2-4 in a fraction over 2
The result as a fraction of 2 will be 58/2
What are fractions?Fractions are ratio of two integers. For instance, the ratio of a to b is expressed as a/b
Given the expression 4x4x2-4, this can be further expressed as:
4x4x2-4
= (4^2*2) - 4
= (16 * 2) - 4
= 32 - 4
= 28
Expressing the result as a fraction of 2 will be 58/2
Learn more on indices here: https://brainly.com/question/10339517
The graph of the equation x = 8 is what type of line
line.
Answer: Vertical Line
Step-by-step explanation:
what is the area of this figure
enter your answer in the box
__ units2
Answer:
44
Step-by-step explanation:
Well if you see the picture
triangle 1 has an area of
[tex]\frac{3*4}{2}=6[/tex]
triangle 2 has an area of
[tex]\frac{3*4}{2}=6[/tex]
rectangle 3 has an area of
[tex]8*3=24[/tex]
and triangle 4 has an area of
[tex]\frac{2*8}{2}=8[/tex]
if we add then up
[tex]6+6+24+8=44[/tex]
Math Problem again will mark brainliest.
Answer:
The answer to this problem would be A.
Step-by-step explanation:
For childcare facilities for each visit is $9, we would say 9x because we dont know the exact amount of time that she visits the gym with her child. Her monthly gym bill is $32 which would ve added to the amount she would pay for childcare. The sum of it all should be less than or equal to that of $122.
Answer:
A. 9x + 32 ≤ 122
Step-by-step explanation:
$32 is the fixed monthly due
$9 everytime she uses childcare
$122 is the maximum she wants to spend This month.
32 + 9x ≤ 122
which property is this example (1+2)+3=1+(2+3)
Answer
Associative property of addition
Step-by-step explanation:
List the first six prime numbers
Answer:
2,3,5,7,11,13
Step-by-step explanation:
the prime divisors of 10 are 2 and 5.
while the first six prime numbers are 2,3,5,7,11,13
Please Help me I really need help
Answer:
2
Step-by-step explanation:
ZA and ZB are complementary angles. If m_A= (7x + 28)° and m
ZB = (8x + 2)°, then find the measure of ZA.
Answer:
mA=56 degrees
Step-by-step explanation:
Complementary angles adds up to 90 degrees. This imply that
[tex](7x+28)+(8x+2)=90[/tex]
From this equation, we can find x:
[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]
Now, we can substitute the value for x into the angle mA:
[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]
Find the value of x. Then find the length of the segment or angle indicated.
8x-27 6x+1
Answer:
58
Step-by-step explanation:
find x using the ratio of the sides 12 cm and 16cm
Answer:
the ratio of the following x is 3/4
some one pls help me with this fast
this is you're answer please thanks me
Please help answer the first 2 boxes for brainslt
> for brainslt
The lines represented by the equations 15y + 10x = -60 and y
- x – 5 are
neither parallel nor perpendicular
Submit Answer
parallel
perpendicular
the same line
Answer:
they are not the same line, nor are they parallel or perpendicular
Step-by-step explanation:
they are two distinct lines and intersect at (-5.4, -0.4) if graphed
If you put each equation into slope-intercept form you can compare slopes to determine if they are parallel (slopes would be the same) or perpendicular (slopes would be opposite signs and reciprocals)
Richard's cumulative GPA for 3 semesters_ was 2.0 for 42 credits. His fourth semester GPA was 4.0 for 14 course units. What is Richard's cumulative GPA for all 4 semesters
Answer:
Richard's cumulative GPA = 2.5
Step-by-step explanation:
Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.
Average = 2
Total credits = 42
Average = sum of terms/total no of terms
2 = sum of terms/42
sum of terms = 84 ....(1)
His fourth semester GPA was 4.0 for 14 course units
Average = 4
Total credits = 14
sum of terms = 56 .....(2)
Average for 4 semesters,
[tex]A=\dfrac{84+56}{42+14}\\\\A=2.5[/tex]
Hence, Richard's cumulative GPA for all 4 semesters is 2.5.
The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.
Answer: -10
Step-by-step explanation:
If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.
Belle"s dad lend her $10. Then Belle borrows another $15 from him. Write and evaluate an expression that shows the change in the amount of money Belle's dad has.
Answer:
You never said how much money belle's dad had in the first place there not enough information
Step-by-step explanation:
(10 + 15) - x
Daniel bought 3 comic books at the bookstore. He spent $8.33 on the first book and $7.33 on the
second book. He spent a total of $24.69 on all three books.
How much did Diego spend on the
,
third book?
Answer:
The third book cost $9.03
Step-by-step explanation:
Answer:
the 3rd book is 9.03
Step-by-step explanation:
all you have to do is add 8.33 + 7.33 and thate 15.66 so 24.69 - 15.66 is 9.03