Answer:
-1/15
Step-by-step explanation:
- 2/3-(-9/15)
-2/3 + 9/15
= -1/15
1(c) [3 pts] for the smokestack with the filter installed, find the probability that the amount of pollutant in a given sample will exceed 1/2.
To find the probability that the amount of pollutant in a given sample will exceed 1/2 for the smokestack with the filter installed, you need to determine the distribution of the pollutant levels and then calculate the probability based on that distribution.
To find the probability that the amount of pollutant in a given sample will exceed 1/2 when a filter is installed in the smokestack, we need to use the information provided in the question. However, we do not have any specific information on the distribution of the pollutant levels, so we cannot calculate the exact probability.
Instead, we can make some assumptions based on the purpose of the filter. Filters are typically installed to reduce the amount of pollutants emitted into the air, so it is reasonable to assume that the filter will decrease the amount of pollutant in each sample. Therefore, we can expect the probability of the pollutant level exceeding 1/2 to decrease when a filter is installed.
Without more information, we cannot give an exact probability, but we can say that it is likely lower than the probability without a filter. We would need to know more about the specific characteristics of the filter and the pollutant to make a more accurate estimate.
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evaluate 8+t to the power of 3 when t equals 2
Answer:
It's 994
Step-by-step explanation:
PLEASE HELP ASAP!!!
Answer:
31 and 11
Step-by-step explanation:
To find the mean, add all the numbers up and divide by the sum of the number values, in this case it would be 34 divided by 11 which gives us 31. I don’t have a great definition for standard deviation but you could probably look one up at find it easily.
The population of racoons in a state park increas by 3.5% each year. Right now, there are estimated to be 280 racoons in the park. How many raccoons will there be in 10 years
In the next 10 years there will be 398 racoons in the state park
What is population increase?The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.
Using the formula
p(t) = p(o) e^ kt
k = 3.5/100 = 0.035
t = 10 years
p(t) = 280 e^ 0.035 ×10
p(t) = 280e^0.35
p(t) = 280 × 1.42
p(t) = 398( nearest whole number)
therefore be after 10 years there will be 398 racoons in the state park.
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The volume of a cube is 27 in.. How long is each side?
Answer:
6.75
Step-by-step explanation:
Answer:
Hi there!!
Your answer is:
Each side is 3 inches.
Step-by-step explanation:
The volume of a cube is equal to l×w×h. All sides of a cube are the same size!
If x^3 = 27, then work backwards!
1: Take the cubed root of 27.
The cubed root of 27= 3!
2: Check your work!
If the length, width, and height is all 3 units, plug in 3 and solve. If both sides equal each other, you are correct
3×3×3 = 27 ?
9×3 = 27 ?
27= 27 ✓
What is the measure of angle x?
Linear pair of angles
30
Answer:
150°
Step-by-step explanation:
every line is equal to 180°. To find an angle, like this one, you have to subtract 30° from 180°. Therefor the answer is 150°.
If you need a further explanation just let me know
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
How do you solve a problem involving squeeze theorem?
Answer:
Step-by-step explanation:
if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.
Suppose that 65% of Americans over 18 drink coffee in the morning, 25% of Americans over the age of 18 have cereal for breakfast, and 10% do both. What is the probability that a randomly selected american over the age of 18 drinks coffee in the morning or has cereal for breakfast? That is, find P(C or B).
Step-by-step explanation:
To find the probability that a randomly selected American over the age of 18 drinks coffee in the morning or has cereal for breakfast, we can use the formula:
P(C or B) = P(C) + P(B) - P(C and B)
where:
P(C) = the probability of drinking coffee in the morning
P(B) = the probability of having cereal for breakfast
P(C and B) = the probability of doing both
From the problem, we know that:
P(C) = 0.65
P(B) = 0.25
P(C and B) = 0.10
Plugging these values into the formula, we get:
P(C or B) = 0.65 + 0.25 - 0.10
P(C or B) = 0.80
Therefore, the probability that a randomly selected American over the age of 18 drinks coffee in the morning or has cereal for breakfast is 0.80, or 80%.
Answer:
c
Step-by-step explanation:
which is the smallest measurement used in the apothecary system for volume? a. apothecary b. metric c. minim d. household.
The smallest measurement used in the apothecary system for volume is the minim.
The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.
In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.
The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.
However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.
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Evaluate the given expression if a = 2 and b = -4
a2-b3
Answer:
31
Step-by-step explanation:
\( {a}^{2} - {b}^{3} \\ \\ = {(2)}^{2} - {( - 3)}^{3} \\ \\ = 4 - ( - 27) \\ \\ = 4 + 27 \\ \\ = 31\)
A 20 inch ribbon is cut into eighths, and 3 of the pieces are taped end-to-end. What is the total length. (I know how to answer it but I don’t know how to show my work)
Answer:
Step-by-step explanation:
Length of one piece = 20/8 inches = 2.5 inches.
3 pieces × (2.5 inches)/piece = 7.5 inches
the graph shows a probability distribution. which probabilities are equal to 0.3? select each correct answer. p(5≤x≤8) p(x≤3) p(x≥3) p(3≤x≤5)
There is no graph provided for reference, but if the graph shows a probability distribution, then the probabilities that are equal to 0.3 would depend on the specific shape and values displayed on the graph.
Without this information, it is impossible to determine which probabilities are equal to 0.3. Based on the given information, the graph represents a probability distribution. To determine which probabilities are equal to 0.3, you would need to analyze the graph (which is not provided). However, I can explain each term:
1. p(5≤x≤8): This represents the probability that x falls between 5 and 8, inclusive.
2. p(x≤3): This denotes the probability that x is less than or equal to 3.
3. p(x≥3): This signifies the probability that x is greater than or equal to 3.
4. p(3≤x≤5): This indicates the probability that x falls between 3 and 5, inclusive.
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see photo above to anwser
Answer:
i can see
Step-by-step explanation:
UKDIAMOND is a great place for the people of sentence to get it 4out in a sense that you are a very
Answer:
b = 99°
Step-by-step explanation:
XY is a line segment and so it is a straight line which means that it is a straight angle - 180°
a = 28°
c = 53°
b = ?
=> a + b + c = 180°
=> 28° + b + 53° = 180°
=> b = 180° - (53 + 28)°
=> b = 180° - 81°
=> b = 99°
Therefore b = 99°
Hope it helps :)
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
find the product of (4x+1)(5x-2)
Answer:
20x²-3x-2
Step-by-step explanation:
(4x+1)(5x-2)
20x²-8x+5x-2
20x²-3x-2
question 7
pls help me as soon as possible
i'm being timed i only have a hour
Answer:
16.5 cm²
Step-by-step explanation:
the measure of an exterior angle (32°) is found by dividing the difference between the measures of the intercepted arcs (54° and arc abject BF) by two.
32 = (BF - 54)/2
64 = BF - 54
arc angle BF = 64 + 54 = 118°
the area of that sector is
pi×r² × 118/360 = pi×4² × 118/360 = pi×16 × 118/360 =
= pi×2 × 118/45 =
= 16.47590814... ≈ 16.5 cm²
Which of the following actions is not an example of two or more independent events?
A.
observing the numeric outcomes of rolling the same number cube twice consecutively
B.
observing the numeric outcomes of rolling two number cubes at the same time
C.
observing the numeric outcomes of rolling three or more number cubes at the same time
D.
observing the numeric outcomes of rolling a number cube once, then rolling it again, ignoring the outcome if it matches the first
hurrryyyyyy
Answer:
It’s D
Step-by-step explanation:
It’s D. Observing the numeric outcomes of rolling a number cube once, then rolling it again, ignoring the outcomes if it matches the first.
x+8y
units
8x -x+5y units
what’s the perimeter?
Answer:
P = 16x+26y units
Step-by-step explanation:
Let the length is (x+8y) units
Width = (8x-x+5y) units
We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.
P = 2[(x+8y) + (8x-x+5y)]
= 2[(8x+8y+5y)]
= 2[8x+13y]
= 16x+26y
Hence, the required perimeter is 16x+26y.
How many whole numbers are less than k, if k is a whole number?
The set of the whole numbers is the set of all the positive integers and the zero. So we can write it as:
{0, 1, 2, 3, 4, ...}
We will see that:
if k is a whole number, then there are k whole numbers that are smaller than k.
Let's see how we got that:
Now, we know that k is a whole number, then just let's assign different whole numbers to k and count how many whole numbers are smaller than k.
if k = 1
We have 1 whole number smaller than k, that is the zero.
if k = 2
We have 2 whole numbers smaller than k, the zero and the 1.
if k = 3
we have 3 whole numbers smaller than k, {0, 1, 2}
We already can see the pattern.
if k is a whole number, then there are k whole numbers that are smaller than k.
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Simplify and then classify by degree and number of terms with an explanation
Step 1: Write out the expression to simplify
\(2x+3x^2(4x-5)\)Step 2: Remove the bracket using distribution property
\(\begin{gathered} 2x+3x^2(4x-5)\Rightarrow2x+3x^2(4x)-3x^2(5) \\ \Rightarrow2x+12x^3-15x^2 \end{gathered}\)Step 3: Rewrite the resulting expression in order of degree and state the degree and the number of terms
\(12x^3-15x^2+2x\)The degree is 3 (third degree) as the highest power of the variable is 3, there are three terms in the expression
Hence, the expression is a cubic expression (degree 3) and a trinomial (3 terms)
Simplify -|-5 + 2|. -7 -3 3 7
Answer:
-3
Explanation:
When you use absolute value "|n|" whatever is inside the equation has it's absolute value which means even if it is a negative it comes out positive when using absolute value. But in this case there is a negative in front of the absolute value sign which basically means the same thing just a negative answer. So by following order of operations you do the absolute value first which would leave you with "5-2". The 5 is positive because the negative absolute value cancelled out the negative in front of the 5 and made the 5 positive. The 2 is negative because the negative absolute value cancelled out the positive and made it a negative. The last step is simple subtraction which would leave you with -3. If you have anymore questions let me know!
In a museum, Nick is looking at a famous painting through a mirror at an angle of 58 degrees. Find the angle the painting makes with the mirror. Also, find m
Answer:
58°
Step-by-step explanation: Nick was able to view the museum painting through the mirror due to reflection. The painting was reflected after hitting the plane mirror. According to the law of reflection, the angle of incidence is equal to the angle of reflection. The incident angle is the angle which the incident ray( the ray which strikes or hits the plane mirror) makes with the normal(line perpendicular to the tangent).
Thus, the angle which the painting makes with the mirror is equal to the angle at which the painting is being viewed = 58°.
A bag contains 4 red, 3 green, and 2 yellow marbles. One marble is randomly chosen What is the probability that the marble picked is red?
Answer:
4/9 is the answer.
Answer:
there is more red marbles then the others
Step-by-step explanation:
HELPPP ITS ABT ESTIMATION ILL MARK U BRAINLIST
Answer: the answer is A
reason: 224294 * 43 / 100 = around 96320
5. A contractor estimates that he will need 18 sheets of drywall, he actually
uses 14 sheets of drywall. To the nearest percent, what is the percent
error?
Answer:
Percent error is approx. 22%
Step-by-step explanation:
So to do this you need to know the formula for percent error, which is
percent error = l measured - theoretical / theoretical l * 100%
With this just plug in 18 (real) and 14 (measured).
percent error = l 14 - 18 / 18 l * 100%
percent error = l -4 / 18 l *100%
percent error = l -2/9 l *100%
You then do absolute value because the percent error must be positive not negative! So -2/9 becomes 2/9. You then divide 2/9 to get approx. 0.22... and you muliply by 100% to get 22%.
The average class size this semester in the business school of a particular university is 39.1 students with a standard deviation of 13.6 students. The z-score for a class with 16 students is _____.
The z-score for a class with 16 students is -1.70
The z-score for a class with 16 students in the business school of the particular university is approximately -1.22.
To calculate the z-score, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to calculate the z-score for (in this case, the class size of 16),
μ is the mean (average) class size,
σ is the standard deviation.
Given that the average class size is 39.1 students (μ = 39.1) and the standard deviation is 13.6 students (σ = 13.6), we can substitute these values into the formula:
z = (16 - 39.1) / 13.6
Simplifying the equation, we have:
z = (-23.1) / 13.6
Dividing -23.1 by 13.6, we get approximately -1.70. Therefore, the z-score for a class with 16 students is approximately -1.70.
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Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account. What is the net change in her bank account balance after each monthly payment? Complete the steps below to solve this problem and others like it.
QUESTION:
Which rational number represents the number of months that Callie has to pay off the bill? What does the sign on the number mean?
Answer:
Callie has 4 months to pay off the bill. The rational number is +4. The sign is positive because it represents a quantity of something, in this case, months
Step-by-step explanation:
trust me :)
If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q→p?
O the original conditional statement
O the inverse of the original conditional statement
O the converse of the original conditional statement
O the contrapositive of the original conditional statement
Answer:
(c) the converse of the original conditional statement
Step-by-step explanation:
If a conditional statement is described by p→q, you want to know what is represented by q→p.
Conditional variationsFor the conditional p→q, the variations are ...
converse: q→pinverse: p'→q'contrapositive: q'→p'As you can see from this list, ...
the converse of the original conditional statement is represented by q→p, matching choice C.
__
Additional comment
If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.
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PLEASE HELP!!
THANKS
Answer:
I guess the answer is 5 and 8
Answer:
I think answer is 5 and 8