Complete question :
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1294 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5705 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answer:
H0: p=0.2
H1: p<0.2 ;
- 3.16 ;
0.0008 ;
p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
Step-by-step explanation:
The null hypothesis ; H0 : p = 20%
Alternative ; H1 : p < 20%
Sample size, n = 1294 + 5705 = 6999
p = inaccurate / total
p = 1294 / 6999 = 0.1849
The test statistic (Z) :
(P - P0) ÷ sqrt((P0(1 - P0)) /n)
P0 = 0.2
(0.1849 - 0.2) ÷ sqrt((0.2 * 0.8)/6999))
−0.0151 ÷ 0.0047812
= - 3.1582029
= - 3.16
Pvalue : using the Pvalue from Zstatistic calculator at α = 0.01
P value = 0.000789
P value = 0.0008 (4 decimal places).
Since p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
Help
Please ..................
Answer:
-86
Step-by-step explanation:
Substitute -11 for x in the equation:
8(-11)+2
=-88+2
=-86
which of the following is not a composite number a6 b7 c8 d9
Answer:
7 isn't a composite number
Step-by-step explanation:
Answer:
7, it's a prime number
Step-by-step explanation:
Riley planed 4 rows of pumpkins. There were 1,205 plants in each row. How many pumpkins plants did Riley plant?
Can anyone help me thank you
Find the GCE.
10rs, 35rst
Solve for r 5r^2+5=130
Answer:
Simplifying
5r2 + 5 = 130
Reorder the terms:
5 + 5r2 = 130
Solving
5 + 5r2 = 130
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 5r2 = 130 + -5
Combine like terms: 5 + -5 = 0
0 + 5r2 = 130 + -5
5r2 = 130 + -5
Combine like terms: 130 + -5 = 125
5r2 = 125
Divide each side by '5'.
r2 = 25
Simplifying
r2 = 25
Take the square root of each side:
r = {-5, 5
Graph x+y=3 , ILL MARK BRAINLIST
Answer:
Are you sure?
None
Step-by-step explanation:
A. x= -3 , y= 3
x + y =
-3 + 3 = 0
B. x= -3 , y= -3
x + y =
-3 + -3 = -6
C. x= 3 , y= 3
x + y =
3 + 3 =6
D. x= 3 , y= -3
x + y =
3 + -3 = 0
Three oil companies, A, B and C, are exploring for oil in an area. The probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20. If B discovers oil, the probability that A will also discover oil is increased by 20%. Assume that the chance of C discovering oil is independent of A and B.
i) What is the probability that oil will be discovered in the area by one or more of the three companies?
ii) If oil is discovered in the area, what is the probability that it will be discovered by company C?
Answer:
Step-by-step explanation:
i )
the probability that oil will be discovered in the area by one or more of the three companies = probability of oil to be discovered by one company + probability that oil will be discovered by two companies + probability that oil will be discovered by three companies.
probability of oil to be discovered by one company = .40 x .40 x .80 + .60 x .60 x .80 + .60 x .40 x .20 = .128 + .288 + .048 = .464
probability that oil will be discovered by two companies = probability to be discovered by A and B and not discovered by C + probability to be discovered by A and C and not discovered by B + probability to be discovered by B and C and not discovered by A
= .40 x .80 x .80 + .40 x .20 x .40 + .60 x .20 x .60
= .256 + .032 + .072
= .36
probability that oil will be discovered by three companies.
= .40 x .60 x .20 = .048
Total probability = .464 + .36 + .048 = .872
ii )
Probability of discovery by C = Probability by C and not by A and B + Probability by C and A and not by B + Probability by C and B and not by A
+ Probability by A , B and C .
= .20 x .6 x .4 + .20 x .40 x .40 + .20 x .60 x .60 + .40 x .60 x .20
= .048 + .032 + .072 + .048
= .20
If oil is discovered in the area, what is the probability that it will be discovered by company C = .20 / .872
= .23
The probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.
Given that three oil companies, A, B and C, are exploring for oil in an area, and the probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20, and if B discovers oil, the probability that A will also discover oil is increased by 20%, assuming that the chance of C discovering oil is independent of A and B, to determine 1) what is the probability that oil will be discovered in the area by one or more of the three companies, and 2 ) if oil is discovered in the area, what is the probability that it will be discovered by company C, the following calculations must be made:
1)
The discovery probabilities of 1, 2 or 3 companies must be added. (0.40 x 0.40 x 0.80 + 0.60 x 0.60 x 0.80 + 0.60 x 0.40 x 0.20) + (0.48 x 0.60 x 0.80 + 0.40 x 0.60 x 0.20 + 0.60 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) (0.128 + 0.288 + 0.048) + (0.2304 + 0.048 + 0.072) + 0.048 = X 0.464 + 0.3504 + 0.048 = X 0.8624 = X
2)
1.20 = 100 0.20 = X 0.20 x 100 / 1.20 = X 20 / 1.20 = X 16.66 = X
Therefore, the probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.
Learn more about maths in https://brainly.com/question/26138968
1) In statistics, the average is also
known as
O a) Mean
b) Median
c) Tally Marks
O d) Mode
Answer:
In statistics the average is also known as mean.
Please tell me the answer to this. Very easy points if you ask me.
x + 8x = ?
x + 8x = 9x
(like 1 + 8 but with x's)
There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form
Step-by-step explanation:
substitute the given value in the standard form equation. it will give you the slope intercept form
a hotel ballroom is decorated with tulips, roses and peonies. The ratio of the number of tulips to the number of roses in the ballroom. there are 575 stalks of flowers in the ballroom altogether. how many tulips are there
Answer:
200 tulips
Step-by-step explanation:
The computation of the number of tulips are shown below:
Given that
Ratio of number of tulips to number of ratios is 2:3 we can write 8:12
And, the peonies to roses are 1:4 we can write as 3:12
So,
Tulips : Roses : Peonies
8:12:3
Now
Total units of flowers + 8 + 12 + 3
= 23
For tulips it would be
= 575 × 8 ÷ 23 units
= 200 tulips
Andrew wants to buy new shirts for his job.
Andrew wants to buy at least 5 new shirts to wear to his new job.
Short sleeve shirts cost $14 each and long sleeve shirts cost $18 each.
Andrew wants to spend no more than $100.
Which system of inequalities can be used to find how many short sleeve shirts, x, and how many long sleeve shirts, y, he can buy?
Answer:
my anm,e is andrew and i dont have a job :/
Step-by-step explanation:
Answer:
x + y ≤ 5
14x + 18y ≥ 100
Step-by-step explanation:
just trust me
never trust strangers
PLEASE HELP (25 point!!)
On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.
(graph shown below)
A. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
and I on a coordinate plane. Use complete sentences to describe the strategy.
B. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your
final answer, include all of your calculations.
C. Use the distance formula and the coordinates of points and I to prove that the Pythagorean theorem is an
alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of
your calculations
Answer :Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
brainly.in/question/10516214
13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
Geometry problem above ^ ABC is similar to...
Answer:
B. 20 units
Step-by-step explanation:
You can see that the each of the sides of triangle XYZ are half the length of each the sides of triangle ABC.
So 40 / 2 = 20 units
Hope that helps!
Draw a model to show 3/4 of 16.
Answer:
Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12
Step-by-step explanation:
Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12
Hope that helps!
can I get some help finding the area of these 2 shapes plz!
Answer: Triangle is 28 and the Parallelogram is 50
Step-by-step explanation:
For the triangle 8×7=56 and then we divide it by 2 so,
56÷2=28
And, for the parallelogram it would be 50 because 5×10 is 50.
10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4
Answer:
A, x=5
Step-by-step explanation:
By simplifying the inequality we get:
The only answer that is greater than 4 is A.
Answer:
yes
Step-by-step explanation:
15. 12 kg çilekten 6 kg reçel
yapılıyor.
22 kg reçel yapmak
için kaç kg çileğe ihti-
yaç olur?
Answer:
12kg
Step-by-step explanation:
because 2×2×2+4=12
jskgx
Zoey surveyed 580 of the students in her school about their favorite color. 35% said their favorite color was purple. How many students' favorite color was purple?
Answer:
203 students surveryed purple as their favorite color
Step-by-step explanation:
Let's set this up like a fraction
Percentages are always out of 100 so the denoninator will be 100
Since the number of students who's favorite color is equal to 35%, we will equal both fractions together
Variable x = number of students for purple
x/580 = 35/100
Cross multiply
x × 100 = 580 × 35
100x = 20,300
Isolate the variable by dividing both sides by 100
x = 203
203 students surveryed purple as their favorite color
A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?
Help plz:)))I’ll mark u Brainliest
Answer:
28ft
Step-by-step explanation:
consider the two functions. which statement is true?
Answer:
The right answer is D
Step-by-step explanation:
The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?
Answer:
10/100 = x/125
1250 = 100x
1250/100 = 100x/100
12.5 = x
125 - 12.5 = 112.5
the sale price is $112.5
Jace invested $67,000 in an account paying an interest rate of 5 5/8% compounded monthly. Joseph invested $67,000 in an account paying an interest rate of 6 1/4% compounded continuously. After 18 years, how much more money would Joseph have in his account than Jace, to the nearest dollar?
Answer:
$22395
Step-by-step explanation:
The coordinates of the vertices of triangles OPQ are O(0,0) P(4,0) and Q(2,-4). Triangles OPQ is dilated with center O and scale factor 3/2. Sketch the dilation. What quadrants contain the image of triangle OPQ? PLEASE HELP ME
Answer:
you have to do the directions they gave you, draw the coordinates
Step-by-step explanation:
Use the epression to answer the question.
24-6×6÷4
What is the value of the epression?
A. 3
B. 15
C. 20
D. 27
Answer:
The answer is B.
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
So the answer is 15.
Hope this helps :)
-ilovejiminssi♡
$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?
Answer: About 3,811 US dollars.
Step-by-step explanation:
Divide 25,000 with 6.56. That equals about 3,811 US dollars.
hope this helps :)
Point M is located at (7,1).
What is located 5 units from point M?
Choose 1 answer:
(Choice A)
Point A
(Choice B)
Point B
(Choice C)
Point C
(Choice D)
Origin
I think it is possibly point b
What is 2 7/9 + 8/9 ?
Answer:
11/6
Step-by-step explanation:
2 7/9 + 8/9
2 7/9 into a mixed fraction which is 25/9
now 25/9 + 8/9 = 33/18 then simplify which is 11/6