Complete question :
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.
Answer:
0.02275
Step-by-step explanation:
Given :
Population mean μ = 12
Standard deviation, σ = 0.5
Sample size, n = 4
Observed statistic, xbar = 11.5
H0 : μ = 12
H1 : μ < 12
The test statistic = (xbar - μ) ÷ σ/sqrt(n)
Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)
Test statistic = - 0.5 ÷ 0.5/2
Teat statistic = - 0.5 / 0.25 = - 2
Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.
We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail
Pvalue = 0.02275
Or
P(x < - 2) = 0.02275 (Z distribution table)
i need help right now!!!!
Answer:
look at the picture i sent...........
A Hertz Rent-a Car is a car agency charges $40 for one day plus $0.10 per mile to rent a full size car. Enterprise Rent-A-Car charges $18 for one day plus $0.20 cents per mile to rent the same car. How many miles could you drive in one day that would result in the final bill to be the same from both companies?
Answer: 220 miles
Step-by-step explanation:
Let's write the equations for each case:
A Hertz Rent-a Car:
Charges a fixed amount of $40, plus a $0.10 per mile.
Then if you drive x miles, we get a total cost of:
C(x) = $40 + $0.10*x
Enterprise Rent-A-Car:
Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:
K(x) = $18 + $0.20*x
Now, we want to find how many miles you can drive such that you would pay the same in both companies.
Then we need to find x such that:
C(x) = K(x)
$40 + $0.10*x = $18 + $0.20*x
Let's solve this for x.
$40 - $18 = $0.20*x - $0.10*x
$22 = ($0.20 - $0.10)*x
$22 = $0.10*x
$22/$0.10 = x
220 = x
So if you drive exactly 220 miles, you would pay the same in both companies.
There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
Answer:
3/5
Step-by-step explanation:
In the numbers 1 thru 10, there are 5 multiples of 2 (2, 4, 6, 8, 10) and 2 multiples of 5 (5, 10). Since you cannot count 10 twice, there are 6 possibilities (2, 4, 5, 6, 8, 10)
So the probability of spinning a multiple of 2 or 5 is 6/10 = 3/5
Answer:2/10 probabilty for the multiple of 5 and a 5/10 or 50% chance that it will be a multiple of 2
Step-by-step explanation: 10 areas, there are 2 multiples of 5,( 5 and 10 )and there is a 2/10 chance of landing on landing 5 or 10 because there are 2 multiples of 5. There are also 5 multiples of 2, (2, 4, 6, 8, 10) 5/10 chance because there are 5 multiples out of 2
which of the following doesn't describe a point?
Answer:
It has infinite length, but no width and no thickness (It describes a Line )
Hope it helps...
Have a great day :P
Find the total surface area of the number
cube.
2 in.
2 in.
2 in.
Answer: 24 Inches
Step-by-step explanation:
7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}
Tysm
13-8=5
8-5=3
3-5=-2
-2-5=-7
etc.
Just keep subtracting 5 until you have the 18th term
---
hope it helps
Answer:
-77
Step-by-step explanation:
Reasoning:
Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77
Ariana invests $2,000 at a rate of 6% annual interest
compounded quarterly. Approximately how much is Ariana's
investment worth in 3 years?
I
Step-by-step explanation:
Compounded quarterly means n=4
What is 25 x 65 / 73?
25x65=1625
1625/73=22.26
Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.
Let's assume the number as x
According to the question,
2/3x-6=22
2x-6=22×3
2x= 66-6
2x=60
x=60/2=30
Therefore, as x=30, The number is 30 itself.
What are some tips for the SAT math section?
Answer:
You should study hard and look through the test first to answer the ones you do know and then go back to the ones you don't know. Also if you use any methods or anything related to help with math try to use those through. Therefore try your best and just prepare for it, and always have supplies.
No clue on how to do this
Answer:
parallelogram
Step-by-step explanation:
That's the answer....
I WILL MARK BRAINLIEST!! What is the value of x in this triangle?
Answer:
x = 2
Step-by-step explanation:
=============================================================
Explanation:
The tickmarks tell us which sides are the same length. This in turn tells us that points N and O are midpoints of LJ and LK respectively (since midpoints cut a segment in half). We consider segment NO to be a midsegment.
Recall that midsegments are half as long as the side they are parallel to. That means segment NO is half as long as JK. This reverses to segment JK being twice as long as segment NO.
-------------
JK = 2*(NO)
2x+8 = 2*(12)
2x+8 = 24
2x+8-8 = 24-8 .... subtract 8 from both sides
2x = 16
2x/2 = 16/2 ...... divide both sides by 2
x = 8
If x = 8, then 2x+8 = 2*8+8 = 16+8 = 24. This shows that segment JK is 24 units long which is double that of midsegment NO being 12 units long. This confirms we have the correct x value.
The formula for the volume of a pyramid is V=1/3 Bh. What is h expressed in in terms of B and V?
V = 1/3 * B * h /*3
V * 3 = B * h /B
V * 3 / B = h
h = V * 3 / B
Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls
Answer:
Step-by-step explanation:
Omg!? Is 96 correct??
Shawna worked out for a total of 20 hours last month. The circle graph shows how Shawna
divided her time during her workouts last month.
Shawna's Workout Time
Rowing
machine
Weights
30%
Exercise bike
10%
Treadmill
40%
Based on the circle graph, for how many hours did Shawna use the rowing machin
Answer:
she spent 4 hours rowing
Step-by-step explanation:
the missing percent is 20, so she spent 20% of 20 hours rowing
this comes out to 4 hours
Find the area of the shaded region. Round to the nearest tenth.
Answer:
Step-by-step explanation:
r = 8.35 ft
area of circle = πr² = 69.7225π ft²
θ = 5π/9 radians
area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²
shaded region = 69.7225π - 26.51 ≅ 192.53 ft²
The area shaded region is found to be as 192.97 ft².
What is a circle?A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.
The centre of the circle does not lie on it.
The largest line segment that can be drawn inside a circle is its diameter.
For the given circle,
Radius is given as 8.35 ft.
And, the angle subtended by minor arc is 100°.
Then, the angle formed by major arc is 360 - 100 = 260°.
Noiw, the area of shaded region is given as below,
Area of the sector for major arc + Area of triangle
⇒ 260/360 × πr² + 1/2 × r²
Plug π = 3.14 and r = 8.35 to obtain,
⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²
⇒ 192.97 ft²
Hence, the area of the shaded region is obtained as 192.97 ft².
To know more about circle click on,
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The average price for a gallon of gasoline in Germany is $5.57 and in France it is $5.54. Assume these averages are population averages in two countries, and that the probability distributions are normally distributed with the standard deviation of $.35 in Germany and standard deviation of $.25 in France. What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?
Answer:
0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average price for a gallon of gasoline in France is $5.54. The standard deviation is $.25.
This means that [tex]\mu = 5.54, \sigma = 0.25[/tex]
What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?
This is 1 subtracted by the pvalue of Z when X = 5.30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.3 - 5.54}{0.25}[/tex]
[tex]Z = -0.96[/tex]
[tex]Z = -0.96[/tex] has a pvalue of 0.1685
1 - 0.1685 = 0.8315
0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon
a village school starts at 8.30am and end at 3.45pm.how long is the school day
Answer:
7 hours and 15 minutes.
Step-by-step explanation:
Draw a timeline for this question.
8.30 + 7 hours = 3.30pm or 15 30
3.30 + 0.15 minutes = 3.45 or 15 45
7 hours + 0.15 minutes = 7 hours and 15 minutes.
Stephanie bought a chair for $124.00. The finance charge was $24 and she paid for it over 12 months. (Finance Ch arg e: #Months)(12) Use the formula Amount Financed calculate her approximate APR. Approximate APR to Round the answer to the nearest tenth.
O 20.5%
O 19.4%
O 1.6%
O 1.5%
If you answer correctly you get one of those crown things
Answer:
CDBE
Step-by-step explanation:
If you add angle CD and BE together it would be CDBE
5.7 x 10 to the power of 1
5.7 x 10 to the power of 2
5.7 x 10 to the power of 3
Answer:
idontk nowthis is half a ss
Step-by-step explanation:
Can you guys help me please ASAP
1. Toni bought 5 t-shirt for $54 . They each cost the same . Also please tell me how to right it
Answer:
5 T-shirts = $54
10 T-shirts = $108
20 T-shirts = $216
The scatterplot above shows the number of hits and the
number of times at bat by each of 20 players on a major
league baseball team. The line of best fit for the data is
also shown.
For the player with 450 times at bat, the actual
number of hits the player had is approximately how
many fewer than the number of hits predicted by the
line of best fit?
A) 10
B) 20
C) 30
D) 10
The actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
How to interpret the scatter plot?From the complete question, we have the following highlight:
The blue line is the predicted number of hitsThe red line is the actual number of hits.From the graph, we have the following readings at x = 450
Actual readings y = 123 Predicted readings y = 113Calculate the difference
d = 123 - 113
Evaluate the difference
d = 10
Hence, the actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
Read more about lines of best fit at:
https://brainly.com/question/17261411
What is the slope of line help please pleaseeee
Answer:
3/2
Step-by-step explanation:
Slope = rise / run
Rise: 3
Run: 2
Slope = 3/2
Answer:
Awnser: the slope is y=-3/1
John bought a video game that was 30% off. The game was originally $70. What was the sale price of the game?
Answer:
49 Dollars
Step-by-step explanation:
If you subtract 70- 30%, you get 49 dollars
Hope this helps =)
What is the area of the segment?
Answer:
The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)
A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for
Answer:
523.3
Step-by-step explanation:
The volume of a cone is 1/3 hB where h is the height and B is the area of the base.
Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314
Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3
The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.12e0.10t million dollars (0 ≤ t ≤ 10) where t is time in years (t = 0 represents 1994). What was the average price of a two-bedroom apartment in this uptown area in 2002, and how fast was the price increasing? (Round your answers to two significant digits.)
Answer:
Step-by-step explanation:
Average price of a two bedroom apartment can be approximated by the equation,
p(t) = [tex]0.12e^{0.10t}[/tex]
Here, t represents the duration from year 1994.
Duration from year 1994 to year 2004 = 10 years
p(10) = [tex]0.12e^{0.10\times 10}[/tex]
= 0.12e
= 0.3262
≈ 0.33 million
Cost of the apartment in 2004 was 0.33 million.
Let the equation to calculate the rate of increase in the price is,
p(t) = [tex]0.12(1+\frac{r}{100})^t[/tex]
Cost of the apartment after 10 years = 0.33
0.33 = [tex]0.12(1+\frac{r}{100})^{10}[/tex]
[tex]\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}[/tex]
2.75 = [tex](1+\frac{r}{100})^{10}[/tex]
[tex](1+\frac{r}{100})=(2.75)^{0.10}[/tex]
1 + [tex]\frac{r}{100}=1.106[/tex]
[tex]\frac{r}{100}=0.106[/tex]
r = 10.6%
Therefore, price of the apartment is increasing with 10.6%