A new machine is known to reduce pollutants. However, it is expensive. The EPA estimates that one-third of plants has this new machine. What is the probability that fewer than 10% of the plants in the random sample own this machine?
Answers
Answer:
0.05%
Step-by-step explanation:
The sample size is missing, which I investigated and seems to be 45, the same if it is not 45, you can change this value nothing else, the procedure is totally the same.
sample size = n = 45
population proportion = 0.3333
compute Pr (p <= 0.10) from the information, we calculate the standard deviation like this:
sd = (p * (1-p) / n) ^ (1/2)
replacing we have:
sd = (0.333 * (1-0.3333) / 45) ^ (1/2)
sd = 0.0702
Here notice that
np = 45 * (0.3333) = 15 => 10
n * (p-1) = 45 * (0.6676) = 30 => 10
which indicate that the assumption for normal approximation for the sampling distribution is met:
Pr (p <= 0.10) = Pr [(p * - 0.3333) /0.0702 <= (0.10 - 0.3333) /0.0702]
Pr (p <= 0.10) = Pr (z <= -3.32)
this value represents in the table of z (attached) 0.0005
Therefore the required probability is 0.05%
Related Questions
9000 to nearest thousand
Answers
Answer:
9,000 is the answer
Step-by-step explanation:
Answer:
9000
Step-by-step explanation:
How to solve the exponential equation for 3^k2 • 3^-k+2 = 81
Answers
Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
- 2 - 2
k = 2
Every 1 3/4 teaspoon of a multiple vitamin, in granular form, contains 0.85 the minimum daily requirement of vitamin A. How many teaspoons of this vitamin are required to supply 2.25 the minimum daily requirement?
Answers
Answer:
about 4.63 teaspoons
Step-by-step explanation:
You can write the proportion ...
(teaspoons)/(fraction of RDA) = 1.75/0.85 = x/2.25
where x represents the unknown number of teaspoons. Multiplying by 2.25 gives you ...
x = 2.25(1.75/0.85) = 4.632...
About 4.63 teaspoons of vitamin will supply 2.25 times the RDA.
___
That's between 4 5/8 and 4 2/3 teaspoons, roughly 22.8 mL.
plssssssssssssssssssssss help Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or last chair. How many such arrangements are possible?
Answers
Answer:
672 ways
Step-by-step explanation:
The total number of ways the friends were supposed to sit without restrictions would have been = 6!
= 720 possible ways.
If the girs should sit on the first or last sit
The possible arrangement= 2!4!
= 2*24
= 48
But now the two girls should be arranged in such a way that the don't sit on either the first or the last chair.
So the possible way now is= way without restriction - way if the girls are to sit at either first or last sit
= 720-48
= 672
Answer:
672.
Step-by-step explanation:
show that 7 1/2 - 4 2/3 = 2 5/6
Answers
Since the end fraction has a denominator of 6 try and multiply both of the ones on the LHS to get 6 as a denominator.
First though convert the improper fractions into fractions solely.
7 1/2 goes to 15/2
While
4 2/3 goes to 14/3
Now
15/2 multiply both numerator and denominator by 3 gives you 45/6
14/3 multiply both numerator and denominator by 2 gives you 28/6
Subtract 45/6 by 28/6= 17/6
Highest multiple of 6 in 17 is 12
12/6 + 5/6 = 2 5/6
Equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex]
We need to check whether the left hand side is equal to right hand side.
These are in the form pf mixed fraction we can convert them to the improper fraction.
[tex]7\frac{1}{2}=15/2[/tex]
[tex]4\frac{2}{3}=\frac{14}{3}[/tex]
So Let us subtract 24/3 from 15/2
15/2-14/3
LCM of 2 and 3 is 6
45-28/6
17/6
This can be written as mixed fraction [tex]2\frac{5}{6}[/tex]
Hence, equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.
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Janet wants to estimate the percentage of people who have been required to take a drug test for work. She surveys 250 individuals and finds that 175 have taken a drug test for work. Identify the values needed to calculate a confidence interval at the 98% confidence level. Then find the confidence interval.
Answers
Answer:
98% of confidence interval for the true population
(0.6326 , 0.7674)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 250
She surveys 250 individuals and finds that 175 have taken a drug test for work.
sample proportion
[tex]p = \frac{x}{n} = \frac{175}{250} =0.7[/tex]
level of significance ∝ = 0.05
98% of confidence interval for the true population is determined by
[tex](p^{-} - Z_{0.02} \sqrt{\frac{p(1-p)}{n} } ,p +Z_{0.02} \sqrt{\frac{p(1-p)}{n} } )[/tex]
Z₀.₀₂ = 2.326
Step(ii):-
98% of confidence interval for true population is determined by
[tex](0.7 - 2.326\sqrt{\frac{0.7(1-0.7)}{250} } ,0.7 + 2.326 \sqrt{\frac{0.7(1-0.7)}{250} } )[/tex]
( 0.7 - 0.0674 , 0.7 + 0.0674)
(0.6326 , 0.7674)
Conclusion:-
98% of confidence interval for the true population is determined by
(0.6326 , 0.7674)
Find the simplified quotient.
y^2+y/ y^2-2y/ 4y+4/ y^2-4y+4
Can someone show me the work for this answer please
Answers
Answer:
yes the first one is the correct answer
We can see here that the simplified quotient is Option A: y(y+1)/y(y−2) × [(y−2) (y−2)]/4(y+1)
What is quotient?In mathematics, the term "quotient" refers to the result of dividing one quantity (the dividend) by another quantity (the divisor). It represents the whole number or fraction obtained as a result of the division operation.
To find the simplified quotient, we need to follow the steps for dividing fractions:
Step 1: Invert the divisor (the fraction that follows the division sign) and convert the division operation to multiplication.
Step 2: Simplify the resulting fraction by canceling out any common factors in the numerator and denominator.
The given expression is:
(y² + y) / (y² − 2y) ÷ (4y+4) / (y² −4y + 4)
Step 1: Invert the divisor and convert division to multiplication:
(y² + y) / (y² − 2y) × (y² −4y + 4) / (4y+4)
Step 2: Simplify the resulting fraction:
Now, let's factor the expressions in the numerators and denominators:
y(y + 1) / y(y - 2) × (y−2)² / 4(y + 1)
= y(y+1)/y(y−2) × [(y−2) (y−2)]/4(y+1)
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Which of the following is an even function? (A) g(x)=5x+2 (B) g(x)=x (C) g(x)= x 2 (D) g(x)=x3 (E) g(x)=−|x|
Answers
Answer:
(C) g(x) = x² and (E) g(x) = -|x|Step-by-step explanation:
If f(x) is an even function, then f(-x) = f(x).
(A)
g(x) = 5x + 2
g(-x) = 5(-x) + 2 = -5x + 2
g(-x) ≠ g(x)
(B)
g(x) = g(x) = x
g(-x) = -x
g(-x) ≠ g(x)
(C)
g(x) = x²
g(-x) = (-x)² = (-1x)² = (-1)²(x)² = x²
g(-x) = g(x)
(D)
g(x) = x³
g(-x) = (-x)³ = (-1x)³ = (-1)³(x)³ = -1x³ = -x³
g(-x) ≠ g(x)
(E)
g(x) = -|x|
g(-x) = -|-x| = -|-1x| = -(|-1|)(|x|) = -1|x| = -|x|
g(-x) = g(x)
Duran Manufacturing uses a process costing system and manufactures its product in three departments. Which of the following is NOT a way in which Duran can use the cost per unit of each process? A) Duran can look for ways to cut the costs when actual process costs are more than planned process costs. B) Duran needs to set the selling price to cover the costs of making the product and provide a profit. C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period. D) Duran needs to know the ending balances in the following accounts: Work-In-Process Inventory, Finished Goods Inventory, and Cost of Goods Sold.
Answers
Answer:
C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period.
Step-by-step explanation:
Duran uses cost accounting technique to identify cost per unit for its products. The costing techniques allows us to identify the cost of unit that are not completely finished. It is not necessary that all unit must be completed in order to find out the cost per unit of the product. The process costing is the best method to identify cost per unit for products that are in process.
Juan and his friends played a game in which sticky darts were thrown onto a playing board. To start the game, Juan threw a dart randomly onto the board. Describe the likelihood of getting each score. 8 points: 16 points: more than 0 points:
Answers
Answer:
8 points: unlikely
16 points: impossible
more than 0 points: likely
Step-by-step explanation:
Answer:
8 points:
✔ unlikely
16 points:
✔ impossible
more than 0 points:
✔ likely
i did the test hope this helped
Using the diagram below, find how high the plane is flying.
58°
50 yd
30.15 yd
30.25 yd
31.25 yd
32.45 yd
Answers
Answer:
31.24 yd
Step-by-step explanation:
Currently patrons at the library speak at an average of 64 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 47 people speaking at the library. Their average decibel level was 63.2 and their standard deviation was 5. What can be concluded at the the α α = 0.05 level of significance?
Answers
Answer:
The conclusion is that the average level of decibel at the library has changed since the installation of a new computer plug
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 64[/tex]
The sample size is [tex]n = 47[/tex]
The sample mean is [tex]\= x = 63.2[/tex]
The sample standard deviation is [tex]\sigma = 5[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The Null Hypothesis is
[tex]H_o : \mu = 64[/tex]
The Alternative Hypothesis is
[tex]H_a : \mu \ne 64[/tex]
The test statistics is mathematically evaluated as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{63.1 - 64 }{\frac{5 }{\sqrt{47} } }[/tex]
[tex]t = -1.234[/tex]
The negative sign show that this is a left-tail test
Now the critical value of the level of significance obtained from the critical values table is
[tex]z_{0.05} = 1.645[/tex]
Now comparing the critical value of the [tex]\alpha[/tex] and the test statistics we see that critical value is greater than the test statistic which implies that the null hypothesis is rejected.
The conclusion is that the average level of decibel at the library has changed since the installation of a new computer plug
Which expression has a negative value? 2 + 12 (negative 3) (negative 8) 10 minus (negative 18) Negative 35 divided by 5 Mark
Answers
Answer: 35 ÷5 is the negative value
Answer: D
Step-by-step explanation:
What numbers can you make with 1, 2, 3, and 4? Using the operations of addition, subtraction, and multiplication, we can make many different numbers. You can use parentheses as many times as you like and each of the numbers 1, 2, 3, and 4 can be used at most once.
Answers
Answer:
-23 to 28 and 30, 32, 36
Step-by-step explanation:
These numbers can be made:
{-23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 36}
For example,
36 = (1+2)(3)(4)-23 = 1 -(2)(3)(4)What is the value of x? x/9=9/24
Answers
Answer:
x = 27/8
Step-by-step explanation:
x/9=9/24
Cross multiply.
9*9 = 24*x
81 = 24x
x = 81/24
x = 27/8
Answer:
X=3.375 or 27/3solution,
[tex] \frac{x}{9} = \frac{9}{24} \\ or \: x \times 24 = 9 \times 9 \\ or \: 24x = 81 \\ or \: x = \frac{81}{24} \\ x = \frac{27}{8} \: or \: 3.375[/tex]
Hope this helps..
Good luck on your assignment
Please answer this correctly
Answers
Answer:
Option 1
Step-by-step explanation:
The temperature was -11 degrees Fahrenheit in Chicago. In Cheyenne, it was 11 degrees Fahrenheit warmer than Chicago's temperature.
-11 + 11 = 0
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compression strength of more than 1300 KN/m^2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with \sigma =60. Let \mu denote the true average compressive strength.What are the appropriate null and alternative hypothesis?
Answers
Answer:
The null hypothesis is: u >= 1300 KN/m^2
And the alternative hypothesis is:
u < 1300 KN/m^2.
Step-by-step explanation:
The null hypothesis describes hat there is no difference or assiciation between variables of a specific population or that it is a particular average value while the alternative hypothesis states otherwise.
In this case study, the null hypothesis is: u >= 1300 KN/m^2
And the alternative hypothesis is:
u < 1300 KN/m^2.
What is the next term of the arithmetic sequence 24, 16, 8, 0,
Answers
Answer:
-8
Step-by-step explanation:
The term-to-term rule is -8.
16 - 24= -8
8 - 16 = -8
0 - 8 = -8
The arithmetic sequence is a concept of algebra and in given sequence 24, 16, 8, 0 the next term is, -8
What is an arithmetic sequence?In the arithmetic sequence the common difference remains constant between any two consecutive terms. In this sequence we can get the next term by adding one fixed value which is known as a common difference. It is also known as arithmetic progression(AP).
Formula for any [tex]n^{th}[/tex] term in AP,
T = a + (n-1)d
d = T₂-T₁
Where, a is first term , n is [tex]n^{th}[/tex] term and d is common difference
Given sequence,
24, 16, 8, 0
a = 24
n = 5
d = 16-24 = -8
T₅ = 24 +( (5-1)×(-8))
T₅ = -8
Hence, [tex]5^{th}[/tex] term of sequence is -8
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Reyna's health insurance plan requires that she have physician who manages all of her health care. Reyna, most likely, has what type of insurance plan?
Answers
Answer:
HMO
Step-by-step explanation:
Health Maintenance Organization is your answer :D
when should homeowners ask their lenders for mortgage modification
Answers
Homeowners may consider asking their lenders for mortgage modification in the following situations listed below:
When should homeowners ask their lenders for mortgage modification?1. Financial hardship: If a homeowner is facing financial hardship as a result of a large decrease in income, unanticipated medical expenditures, or other unforeseen events
2. Changes in interest rates: If interest rates have fallen significantly after the homeowner obtained their mortgage, they may be able to negotiate a lower interest rate through mortgage modification.
3. Default: If a homeowner has fallen behind on their mortgage payments and is facing foreclosure, mortgage modification may be an option for bringing the loan up to date and avoiding foreclosure.
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Answer:
When they know they can't afford it & before the next payment
Step-by-step explanation:
Which graph is that of the inequality shown below?
Answers
All answer choices show the boundary line going through (0,-2) and (2,2). This is because y = 2x-2 goes through these two points. We make the boundary line a dashed line to indicate that solution points are not found on the boundary (because there is no "or equal to" portion in the inequality sign).
The shading is below the boundary line because of the "less than" sign. Any solution point (x,y) will have its y coordinate smaller than the y coordinate of points on the boundary line. So if (a,b) is on the boundary, then (a,c) is a solution where c < b.
In summary, the graph has a dashed boundary line and the shading is below the boundary
Answer: Graph B5. Look at the diagram below. Indicate whether the angles below are
adjacent or vertical.
a <1 and <2
b. <3 and <4
C. <2 and <4
d. <1 and <3
Answers
Answer:
a. adjacent
b. adjacent
c. vertical
d. vertical
Step-by-step explanation:
Adjacent angles share a side; vertical angles do not. Vertical angles share a vertex and have sides that are opposite rays.
In the diagram, adjacent angles are sequentially numbered, so numbers that differ by 1 (or 3) are adjacent angles.
Vertical angles are not adjacent, so will have angle numbers that differ by 2.
adjacent: (a) and (b) . . . angles 1&2, 3&4
vertical: (c) and (d) . . . angles 2&4, 1&3
20% of city employees ride the bus to work. This is up 10% from last year. What percent of employees rode the bus to work last year?
Answers
Answer:
18.18% of employees rode the bus to work last year
Step-by-step explanation:
This question can be solved using a rule of three.
Last year, a proportion of x employees riding the bus was 100% = 1.
This year, 20% = 0.2 ride the bus, which is 100 + 10 = 110% = 1.1 of last year.
So
0.2 - 1.1
x - 1
[tex]1.1x = 0.2[/tex]
[tex]x = \frac{0.2}{1.1}[/tex]
[tex]x = 0.1818[/tex]
0.1818*100 = 18.18%
18.18% of employees rode the bus to work last year
The area of a gymnasium floor is 264 square yards. the floor is 11 yards wide. How long is the floor?
Answers
Answer:
24 yards long
Step-by-step explanation:
if A=l*w then it's 264=l*11
if you divide 264 (area) by 11 (width) then the answer is 24 which is the length
In a Classroom, 1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirt other than blue shirts or white shirts?
Answers
Answer:
2
Step-by-step explanation:
firstly...you have to find the number of students wearing blue and white shirt and subtract from the total number of students to get the number if students that neither wears blue or white shirt as follows :
no wearing blue = 1/6 × 12 = 2
no.wearing white = 2/3 × 12 = 8
total number wearing blue and white = 8+2 =10
number of students not putting on either of the two colours include...= 12-10 = 2
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MARK BRAINLIEST will be appreciated please...thanks in advance
Will give brainliest answer
Answers
Answer:
A = 25 pi units^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi * 5^2
A = 25 pi units^2
Answer:
A = 78.5
Step-by-step explanation:
Area of a Circle: A = πr²
We are given r, so plug it in:
A = π(5)²
A = 25π
A = 78.5
How do you write 26,300 in scientific notation? ____× 10^____
Answers
Answer:
It's written as
[tex]2.63 \times {10}^{4} [/tex]
Hope this helps you
Answer:
2.63 * 10 ^4
Step-by-step explanation:
26,300
We want one digit to the left of the decimal
Move the decimal 4 places to the left
4 is the exponent. Since we moved the decimal to the left, the exponent is positive
2.63 * 10 ^4
The length is three times the height. The height is one inch less than the width. The volume is 108 cubic inches. Find the dimensions of the box.
Answers
Answer:
3×9×4
Step-by-step explanation:
The volume for a box is b×h×w
With a bit of trial and error, you will quickly find out that the height and width, are small numbers.
When you try 3 for the height you will see that it works.
3×3=9 this is the length
the width is one inch more than the height so for
3×9×4=108
10. The population of India is 1.353 billion, and expected to grow at the rate of one percent
annually for the forseeable future. Assuming population continues to grow at the same percent
rate, how long until the population reaches 2 billion people? Give your answer to the nearest
year. (4 minutes)
Answers
Answer:
39 years
Step-by-step explanation:
Adapt the formula A = P(1 + r)^n, letting P represent the original population, r the growth rate as a decimal fraction, and n the number of years.
Solve this for n:
2 billion = (1.353 billion)(1 + 0.01)^n
After simplification, we have:
2
--------- = 1.01^n
1.353
Taking the log of both sides, we get:
log 2 - log 1.353 = n log 1.01, or
log 2 - log 1.353 0.1697
------------------------ = -------------- = 39 years (rounded off from 39.28)
log 1.01 0.0043
An election ballot asks voters to select six city commissioners from a group of 24 candidates in how many ways can this be done? Six city commissioners can be selected from a group of 24 candidates in blank different ways
Answers
Answer:
134,596 diffrent ways.
Step-by-step explanation:
Combination has to do with selection. When n object is to be selected from n objects, this can be achieved using the combination formula as shown; \
nCr = n!/(n-r)!r!
If an election ballot asks voters to select six city commissioners from a group of 24 candidates, then the selection can be done in 24C6 different ways.
Applying the formula above:
24C6 = 24!/(24-6)!6!
24C6 = 24!/18!6!
24C6 = 24*23*22*21*20*19*18!/18!*6*5*4*3*2
24C6 = 24*23*22*21*20*19/24*30
24C6 = 23*22*21*20*19/30
24C6 = 134,596 different ways.
Hence, Six city commissioners can be selected from a group of 24 candidates in 134,596 different ways