Answer: it’s =
i just got the test results
To reduce laboratory costs, water samples from five public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.007 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Answer:
Step-by-step explanation:
Given that:
The numbers of the possible public swimming pools are 5
From past results, we have 0.007 probability of finding bacteria in a public swimming area.
In the public swimming pool, the probability of not finding bacteria = 1 - 0.007
= 0.993
Thus;
Probability of combined = Probability that at least one public
sample with bacteria swimming area have bacteria
Probability of combined sample with bacteria = 1 - P(none out of 5 has
bacteria)
Probability of combined sample with bacteria = 1 - (0.993)⁵
= 1 - 0.9655
= 0.0345
Thus, the probability that the combined sample from five public swimming areas will show the presence of bacteria is 0.0345
From above, the probability that the combined sample shows the presence of bacteria is 0.0345 which is lesser than 0.05.
Thus, we can conclude that; Yes, the probability is low enough that there is a need for further testing.
what is the slope of -1,3 and 3,15
Answer:
3
Step-by-step explanation:
PLZ HELP WILL GIVE BRAINLIEST
2/3+1/4. Show me work
Answer:
11/12
Step-by-step explanation:
2/3 to 8/12
1/4 to 3/12
8/12+3/12=11/12
Answer:
11/12
Step-by-step explanation:
hi! let's start off by finding the LCM to find a common denominator for these fractions. the LCM of 3 and 4 is 12. so, we can look at what we need to multiply each denominator by to get 12.
3*4 is 12 and 4*3 is 12, so we have to multiply the first fraction by 4/4 (which is equivalent to 1) and we have to multiply the second fraction by 3/3.
this becomes 8/12 and 3/12, which are equivalent to their original forms.
now, we can add these by adding the numerators and keeping the denominators the same.
(8+3)/12
11/12
theres your answer!
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Hello, I think you forgot to attach a picture
Step-by-step explanation:
When you're about ask a question there's a little thing that looks like a paper clip then you press that and attach your picture :)
Which values are two of the possible solutions to the equation?
Answer:
#1
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
did it on ed
What is the value of f(5) if f(3)=10 and the rate of change over the interval 3≤x≤5 is 15?(1 point
f(5)=40
f(5)=20
f(5)=5
f(5)=10
The average rate of change of [tex]f(x)[/tex] over 3 ≤ x ≤ 5 is
[tex]\dfrac{f(5)-f(3)}{5-3}=15[/tex]
Solve for [tex]f(5)[/tex]:
[tex]\dfrac{f(5)-10}2=15[/tex]
[tex]f(5)-10=30[/tex]
[tex]\boxed{f(5)=40}[/tex]
PLEASE ANSWER NEED QUICK ILL GIVE BRAINLISET
Answer:
A) y = 3x -2 is the answer
Step-by-step explanation:
The y-intercept is -2
The slope is going up 3 and right 1 which is 3/1 and 3 divide by 1 is 3.
Hope this helps and pls do mark me brainliest:)
please help !!
12x + 14 = 6x + 7 (+) 9x - 5 find the value of x
Answer:
x=4
Step-by-step explanation:
juan reads 300 pages in 5 days and jose reads 150 in 3 days are these reading rates equivalent
Answer:
60 pages per day.
Step-by-step explanation:
300 ÷ 5 = 60.
When do you use the divergence test, comparison test, p test, geometric, integral, comparison, limit comparison, and alternating series?
Step-by-step explanation:
Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.
If lim(n→∞) an ≠ 0, then an diverges.
(Note this only tests divergence, not convergence.)
P Test: use this when the series is a p-series.
For an = 1 / nᵖ, if p > 1, then the series converges. Otherwise, it diverges.
Geometric Test: use this when the series is a geometric series.
For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges. Otherwise, it diverges.
Integral Test: use this when the sequence can be easily integrated.
If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.
If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.
Comparison Test: use this when a sequence is similar to a p-series or a geometric series.
If bn > an and bn converges, then an converges.
If bn < an and bn diverges, then an diverges.
Otherwise, inconclusive.
Limit Comparison Test: use this when comparison test is inconclusive.
If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.
Alternating Series Test: use this when the series is alternating. This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.
If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.
(Notice this only tests for convergence, not divergence.)
Four more than three times a number (x) is at least nineteen Inequality:
Answer:
x >= 5
(x is greater and equal than 5)
Step-by-step explanation:
4+3x >= 19
3x >= 19-4
3x >= 15
x >= 5
You can see my other article just search in search engine with: Learningandassignments diy4pro
hope it helps
alice sold 3 more than 2 times the number of magazines Josh sold. Alice sold a total of 27 magazines. How many magazines does Josh sell?
Answer: 12
Step-by-step explanation:
you can check this by doing this 12 x 2 = 24 + 3 = 27
find the value of the derivative at the indicated point. f(x)=2+3cosx, (π,-1)
Answer:
0
General Formulas and Concepts:
Derivative is the slope of the tangent line
Derivative of a constant = 0Derivative of cos(x) = -sin(x)Step-by-step explanation:
Step 1: Write function
f(x) = 2 + 3cos(x) (π, -1)
Step 2: Solve
Find 1st Derivative: f'(x) = -3sin(x)Substitute: f'(π) = -3sin(π)Evaluate: f'(π) = -3(0)Multiply: f'(π) = 0Step 3: Define
f'(π) = 0 tells us that when x = π, the slope of the tangent line is 0.
I need help plz
The mapping below represents all of the
points on a graph. Is the graph a function?
Short Response What is the cost of 15 tomatoes?
HOME GROWN VEGETABLES
Cucumbers 6 for $2
Peppers 12 for $9
Tomatoes 6 for $4
Answer:
60
Step-by-step explanation:
15x4= 60
I need help with 20 please thank you.
Answer:
IM BACK!!!!
The answer is *DRUMROLLLLLLLL* B
jk
its 1 lol
Step-by-step explanation:
Plug in -8 to x and you end up multiplying -8 by 1/2 which is pretty simple but the Muhammad ibn Musa al-Khwarizmi guy invented Algebra, Gottfried Wilhelm Leibniz invented functions, and Brahmagupta of India invented addition, so thanks to them, you can solve this question. -8 times 1/2 is -4 and -4 plus 5 equals 1.
Hope this helps
In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008
a. Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of .
b. Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
c. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of .
d. Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (b)?
Answer:
a) the sampling distribution of the sample proportion is approximately normal with mean 0.75 and standard deviation is 0.0204
b) the probability that the sample proportion will be within 0.04 of the population proportion is 0.95
c) sampling distribution of the sample proportion is approximately normal with mean 0.75 and standard deviation is 0.03061
d) the probability that the sample proportion will be within 0.04 of the population proportion is 0.8088
e) gain in precision is 0.1402.
Step-by-step explanation:
a) Let p represent the
Given that
population proportion of complaints settled for new car dealers p = 0.75.
and n = 450
mean of the sampling distribution of the sample proportion is the population proportion p
i.e up° = p
mean of the sampling distribution of the sample proportion p° = 0.75
so standard error of the proportion is;
αp° = √(p( 1-p ) / n)
we substitute
αp° = √(0.75 ( 1-0.75 ) / 450)
=√(0.1875 / 450
= √0.0004166
= 0.0204
therefore the sampling distribution of the sample proportion is approximately normal with mean 0.75 and standard deviation is 0.0204
b)
(p° - p) is within 0.04
so lets consider
p ( -0.04 ≤ p° - p ≤ 0.04) = p ( ( -0.04/√(0.75 ( 1-0.75 ) / 450)) ≤ z ≤ ( 0.04/√(0.75 ( 1-0.75 ) / 450))
= p( -0.04/0.0204 ≤ z ≤ 0.04/0.0204)
= p ( -1/96 ≤ z ≤ 1.96 )
= p( z < 1.96 ) - p( z < -1.96 )
now from the S-normal table,
area of the right of z = 1.96 = 0.9750
area of the left of z = - 1.96 = 0.0250
p( -0.04 ≤ p°- p ≤ 0.04) = p( z < 1.96 ) - p( z < -1.96 ) = 0.9750 - 0.0250
= 0.95
therefore the probability that the sample proportion will be within 0.04 of the population proportion is 0.95
c)
population proportion of complaints settled for new car dealers p = 0.75.
n = 200
mean of the sampling distribution of the sample proportion p°.
i.e up° = p
mean of the sampling distribution of the sample proportion p° = 0.75
Sampling distribution of the sample proportion p is determined as follows
αp° = √(p( 1-p ) / n)
we substitute
αp° = √(0.75 ( 1-0.75 ) / 200)
=√(0.1875 / 200
= √0.0009375
= 0.03061
therefore sampling distribution of the sample proportion is approximately normal with mean 0.75 and standard deviation is 0.03061
d)
(p° - p) is within 0.04
so lets consider
p ( -0.04 ≤ p° - p ≤ 0.04) = p ( ( -0.04/√(0.75 ( 1-0.75 ) / 200)) ≤ z ≤ ( 0.04/√(0.75 ( 1-0.75 ) / 200))
= p( -0.04/0.03061≤ z ≤ 0.04/0.03061)
= p ( -1.31 ≤ z ≤ 1.31 )
= p( z < 1.31 ) - p( z < -1.31 )
now from the S-normal table,
area of the right of z = 1.31 = 0.9049
area of the left of z = - 1.31 = 0.0951
p( -0.04 ≤ p°- p ≤ 0.04) = p( z < 1.31 ) - p( z < -1.31 ) = 0.9049 - 0.0951
= 0.8098
therefore the probability that the sample proportion will be within 0.04 of the population proportion is 0.8088
e)
From b), the sample proportion is within 0.04 of the population proportion; with the sample of 450 complaints involving new car dealers is 0.95.
sample proportion is within 0.04 of the population proportion; with the sample of 200 complaints involving new car dealers is 0.8098.
measured by the increase in probability, gain in precision occurs by taking the larger sample in part (b)
i.e
Gain in precision will be;
0.9500 − 0.8098
= 0.1402
therefore gain in precision is 0.1402.
Solve w - 4b = 1 for w
(x+10)(3x+10) they are linear pair
Answer:
x = 40Step-by-step explanation:
(x+10)(3x+10) they are linear pair
means adds up and equates to 180
x + 10 + 3x + 10 = 180
4x + 20 = 180
x = 160 / 4
x = 40
What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?
Answer:
4x +y = 4
Step-by-step explanation:
The intercept form of the equation for a line is ...
x/x-intercept +y/y-intercept = 1
For the given intercepts, this is ...
x/1 +y/4 = 1
Multiplying by 4 gives the standard-form equation:
4x +y = 4
The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 45° more than nbsp the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
What is the mean score what is the median of the score brookewood medical center
Step-by-step explanation:
The mean of a set a score is simply the average score.
To find the mean, simply sum the individual scores and divide by the total number of scores;
Mean of a set of score = [tex]\frac{Total scores}{Number of scores}[/tex]
Another way to find the mean is using:
Mean = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]
Multiply the frequency of each score with the score and divide by the sum of all of the frequency.
2. The median is the middle score;
Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.
If there are two numbers find their sum and divide by 2.
Please help
Which of the following situations would not trigger a prepayment penalty on a
mortgage that has a prepayment clause?
A. Making scheduled payments
B. Refinance of the mortgage
C. Sale of a house before the mortgage is paid off
Ο Ο
D. Making additional payments on the mortgage
Answer:
making scheduled payments
Step-by-step explanation:
-12(23 – 17) - (-2) × 62
Answer:
52
Step-by-step explanation:
Simplify the following:
-12 (23 - 17) - -2×62
| 1 | 13
| 2 | 3
- | 1 | 7
| 0 | 6:
-126 - -2×62
-12×6 = -72:
-72 - -2×62
-(-2) = 2:
-72 + 2×62
2×62 = 124:
-72 + 124
-72 + 124 = 52:
Answer: 52
What is 1.03333... (3 repeating) as a fraction?
Answer:
1033
1000
Step-by-step explanation:
Multiple the numerator and the denominator both by 10 for every number that follows the decimal point
1.033 x 1000 = 1033
1 x 1000 1000
PLZ HELP FAST!!!!!!!!
Answer:
-6, -1, 4, -1
Step-by-step explanation:
If you plug it in thats what you get
If m angle P = 85', which is a possible measure for Y?
OMZY = 80°
OmZY = 85°
OmZY = 100°
OmZY = 180°
Answer:c
Step-by-step explanation:
100° is a possible measure for m∠Y.
Hence, Option C is the correct option.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that,
In triangles ΔXYZ and ΔMPN
XY = MP and YZ = PN
XY=23 in. and MN=19 in.
Clearly
XY > MN
⇒ m ∠Y > m ∠P ...( since angle opposite to the greater side is greater )
And m ∠P = 85° ⇒ m ∠Y > 85°
Hence,
option (1) and option (2) are not correct as they are less than 85°.
Option 4 is also not correct as it cannot be possible in a triangle because 180° is the angle of a straight line.
Therefore, Option 3 should be the correct option correct option, 100° is a possible measure for m ∠Y.
Learn more about the triangle visit;
brainly.com/question/1058720
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Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+ 16x– 4 = ?
Answer:
Step-by-step explanation:
If you factor out the greatest common factor (4), your expression should be
4 (x^2 + 4x - 1)
Answer:
[tex]4(x^2+4x-1)[/tex]
Step-by-step explanation:
4x + 7y - 6z + 6y - 9x like terms
Answer:
-5x + 13y - 6z
Step-by-step explanation:
