what is the fourth step of the risk assessment process? a. determine probability b. estimate severity c. determine current level of preparedness/mitigation d. identify hazards

The 99th percentile of the normal distribution of sugar expenditures for US households is approximately $11.43. This means that 99% of households spent less than this amount during the past six months, with a mean expenditure of $8.22 and a standard deviation of $1.10.

To calculate the 99th percentile of the normal distribution of sugar expenditures for US households, we need to first find the z-score associated with the 99th percentile. This z-score can then be used to calculate the associated value. To find the z-score, we can use a z-score table to look up the value associated with the 99th percentile, which is 2.326. We then take this value and plug it into the following equation: value = mean + (z-score x standard deviation). So, in this case, value = 8.22 + (2.326 x 1.10) = 11.43. This means that 99% of households spent less than $11.43 on sugar during the past six months.

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Answer:

Step-by-step explanation:

The line is passing through 2 points: (0,9 and (3,3)

slope=(9-3)/(0-3)=-2

equation is : y-9=-2(x-0) or y=-2x+9

Answer:

Step-by-step explanation:

56.1,12.1,23.6

Answer:

x = -1, PR = 38.

Step-by-step explanation:

As Q is the midpoint of PR

PQ = QR

6x + 25 = 16 - 3x

9x = -9

x = -1.

PR

= 6x + 25 + 16 - 3x

= 6(-1) + 25 + 16 - 3(-1)

= -6 + 25 + 16 + 3

= 38.

The pattern of error seems to be adding 4 and subtracting 10 in each calculation.

In the first example, the student adds 4 to the correct sum of 10 and 6, resulting in 14 instead of the correct answer of 16. In the second example, the student subtracts 10 from the correct difference of 11 - 5, resulting in 1 instead of the correct answer of 6.

From these examples, we can observe a consistent pattern in the errors made by the student. Specifically, the student is adding 4 to the correct sum and subtracting 10 from the correct difference. This suggests that the student may have misunderstood or misapplied the rules of addition and subtraction.

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Answer:

The area of a trapezoid is

A = (1/2) h (b1 + b2)

where

h is the height

b1 is length of base 1

b2 is the length of base 2

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

f(1)=6, f(n)=f(n-1)+4

n = 1 → a1 = 6 ← given value

n = 2 → a2 = 6+4 = 10

n = 3 → a3 = 6+4+4 = 14

n = 4 → a4 = 6+4+4+4 = 18

n = 17 → a4 = 6+(4 * 16) =

(its 4 times 16 because 16 is 17 - 1 or n - 1)

n = 17 → a4 = 6+(64) = 70

socraticorg

Tony B

Answer:

20x+9y

Step-by-step explanation:

add the numbers that have the same variable(x in this problem)this is also called combining like terms. Then put the other numbers that have different variables. hope this helped

Answer:

T = O -15%+6%

Step-by-step explanation:

T could be the total.

That means T = O -15%+6%

Hope this helps...

Can you help me answer my question if possible.

Matrix row operations are defined as the process of switching, multiplying or adding the matrix rows to other rows of the same matrix. This is done to facilitate the matrix's operations and make it easy to find the solution to linear equations.

The original matrix is:

\(\[\left[\begin{array}{rr|r} 3 & 6 & 5 \\ 1 & -\frac{1}{4} & 2 \end{array}\right]\]\\\)

To exchange the first and second rows, we apply the row operation \(R_{1} \leftrightarrow R_{2}\). After performing this operation, the new matrix becomes:

\(\[\left[\begin{array}{rr|r} 1 & -\frac{1}{4} & 2 \\ 3 & 6 & 5 \end{array}\right]\]\)

Therefore, the correct new matrix after applying the indicated matrix row operation is:

\(\[\left[\begin{array}{rr|r} 1 & -\frac{1}{4} & 2 \\ 3 & 6 & 5 \end{array}\right]\]\).

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Step-by-step explanation:

1 problem = 1 min 20 sec = 80 seconds

6 problems = 80 * 6 = 480 seconds = 8 min.

It will take Jeremy 8 minutes.

Answer:

7/40

Step-by-step explanation:

possible outcomes = 10+11+12+7 = 40

favourable outcome = 7

theoretical probability  = favourable outcomes/possible outcomes

therefore, 7/40 is the answer

Answer:

m∠AEC = 83°

Step-by-step explanation:

∠C and ∠D are alternate angles and are congruent because segment AC is parallel to DB

Therefore, m∠C = 56°

Sum of measures of angles of a triangle is 180.

So,  m∠A + m∠C + m∠AEC = 180  

41 + 56 + m∠AEC = 180

m∠AEC  + 97 = 180

m∠AEC = 83°

Answer:

graph{x + 2 [-10, 10, -5, 5]}

Step-by-step explanation:

The unit of measurement that represents each scenario are:

The piano weighs 550 Ib (pounds).

The grain of salt weighs 0.00102 gram

A tractor-trailer weighs 88 tons.

The unit of measurement is a standard entity that is used to represent and express the magnitude of a physical quantity.

By following the standard unit of measurement;

Weight is a physical quantity and can be measured in grams or kilograms.

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To determine the number of distinct ways two or more experiments can be performed, the multiplication principle can be used.

The multiplication principle is a fundamental counting technique in combinatorics that helps calculate the total number of outcomes for multiple experiments or events. When two or more independent events occur in a sequence, the total number of possible outcomes is the product of the individual outcomes of each event.


1. Identify the number of outcomes for each experiment or event.
2. Apply the multiplication principle by multiplying the number of outcomes for each event together.
For example, suppose you have two experiments: flipping a coin (2 outcomes - heads or tails) and rolling a die (6 outcomes - 1, 2, 3, 4, 5, or 6). To determine the number of distinct ways both experiments can be performed, simply multiply the outcomes of each experiment: 2 outcomes (coin) * 6 outcomes (die) = 12 distinct possible outcomes.

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With a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.

To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have electrical/environmental problems, we need to have a sample of data on this issue. Let's assume that we have a random sample of 100 homes, and 20 of them were found to have electrical/environmental problems.

To calculate the lower confidence bound, we can use the formula:

Lower bound = p - zα/2 * sqrt(p * (1-p) / n)

where:

p = proportion of homes in the sample that have electrical/environmental problems = 20/100 = 0.2

zα/2 = z-score for the given confidence level of 99% = 2.576 (obtained from a standard normal distribution table or calculator)

n = sample size = 100

Plugging in these values, we get:

Lower bound = 0.2 - 2.576 * sqrt(0.2 * 0.8 / 100) = 0.083

Therefore, with a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.

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This means we can be 99% confident that the true percentage of all homes with electrical/environmental problems is

at least 17.5%.

To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have

electrical/environmental problems, you would need a sample of homes and the number of homes in the sample that

have such problems. Using this information, you could calculate the sample proportion (p-hat) of homes with

electrical/environmental problems.

Then, using a formula or calculator, you could find the lower confidence bound by subtracting the margin of error (ME)

from the sample proportion.

The margin of error can be calculated using the sample proportion, sample size, and the chosen confidence level (in

this case, 99%).

For example, if the sample proportion is 0.25 and the sample size is 100, the margin of error would be 0.075 and the

lower confidence bound would be 0.175 (0.25 - 0.075).

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You bought a large container of fruit punch.

The label on the container says there are 128 fluid ounces of fruit punch in the container.

Answer:

b) f(x)=(x+4)(x-2) 2.....

The zeros on the graph satisfy the function f(x)=(x+4)(x-2)². Therefore, option B is the correct answer.

In the given graph, the function is plotted.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The zero of a polynomial is (2, 0) and (-4, 0)

A. f(x)=(x-4)(x+2)²

Put (2, 0) in y=(x-4)(x+2)², we get 0=(2-4)(2+2)²

LHS≠RHS

B) f(x)=(x+4)(x-2)²

Put (2, 0) in y=(x+4)(x-2)², we get 0=(2+4)(2-2)²

LHS=RHS

Put (-4, 0) in y=(x+4)(x-2)², we get 0=(-4+4)(-4-2)²

LHS=RHS

C) f(x)=(x+4)²(x-2)

Put (2, 0) in y=(x+4)²(x+2), we get 0=(2+4)²(2+2)

LHS≠RHS

D) f(x)=(x-4)²(x+2)

Put (2, 0) in y=(x-4)²(x+2), we get 0=(2-4)²(2+2)

LHS≠RHS

The zeros on the graph satisfy the function f(x)=(x+4)(x-2)². Therefore, option B is the correct answer.

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(a) Given function is f(x) = x² − 4/x − 2; we have to fill the following table of values for f(x):Xf(x)1.93.931.9943.99943.999934.0014.014.91(b) Based on the table of values, the limit of f(x) as x approaches 2 is 4. (c) Graph of the given function is as follows:The limit of the given function f(x) as x approaches 2 is 4. Therefore, lim_x→2 x² − 4/x − 2 = 4.Also, the interval for x near 2 such that the difference between the conjectured limit and the value of the function is less than 0.01 is 1.995 <= x <= 2.005.What is the window? 3.99 <= y <= 4.01.

It is very important to  check whether they are mutually exclusive or independent because;

If A and B are independent, then P(A|B) = P(A).

If A and B are mutually exclusive, then P(A|B) = 0

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

Now,  p(A|B) is the probability of event A occurring, given that event B occurs.

It is very important to  check whether they are mutually exclusive or independent because;

If A and B are independent, then P(A|B) = P(A).

If A and B are mutually exclusive, then P(A|B) = 0

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Answer:  3. x = 20/3         4. x = -11

Step-by-step explanation:

3.    3x - 5= 15        Add 5 to both sides

            +5   +5

      3x =  20           Now divide both sides by 3

     x = 20/3  

4.   -2x + 7 =29    Subtract 7 from both sides

             -7     -7

      -2x = 22      Divide both sides by  -2

     x = -11

The expression that is equivalent to the given expression is \(3\sqrt[6]{z}\)

From the question, we are to determine which of the expressions is equivalent to the given expression

The given expression is

\(6\sqrt{z} \div \sqrt[3]{8z}\)

The expression can be simplified as

\(6\sqrt{z} \div \sqrt[3]{8z}\)

\(\frac{6\sqrt{z}}{\sqrt[3]{8z}}\)

\(= \frac{6 \times \sqrt{z}}{\sqrt[3]{8} \times \sqrt[3]{z}}\)

\(= \frac{6 \times z^{\frac{1}{2} } }{2 \times z^{\frac{1}{3} }}\)

\(= 3\times z^{\frac{1}{2} -\frac{1}{3}}\)

\(= 3\times z^{\frac{1}{6}}\)

\(= 3\times\sqrt[6]{z}\)

\(= 3\sqrt[6]{z}\)

Hence, the expression that is equivalent to the given expression is \(3\sqrt[6]{z}\)

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The value of ∫x² ln(8x) dx is (1/3) x³ ln(8x) - (1/9) x³ + C

To evaluate the integral ∫x² ln(8x) dx, we can use integration by parts.

Let's consider u = ln(8x) and dv = x² dx. Taking the respective differentials, we have du = (1/x) dx and v = (1/3) x³.

The integration by parts formula is given by ∫u dv = uv - ∫v du. Applying this formula to the given integral, we get:

∫x² ln(8x) dx = (1/3) x³ ln(8x) - ∫(1/3) x³ (1/x) dx

             = (1/3) x³ ln(8x) - (1/3) ∫x² dx

             = (1/3) x³ ln(8x) - (1/3) (x³ / 3) + C

Simplifying further, we have:

∫x² ln(8x) dx = (1/3) x³ ln(8x) - (1/9) x³ + C

Therefore, The value of ∫x² ln(8x) dx is (1/3) x³ ln(8x) - (1/9) x³ + C

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Answer: 10/36 or 5/8

Step-by-step explanation:

Let’s start by solving how many pens Rohan has left. 36-11-15=36-26=10. Rohan has 10 pens left. Now to solve the fraction of pens Rohan has left, we divide our 10 by 36, or 10/36. Another fraction of this could be 5/18, because both the denominator and numerator have 2 as a factor.

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function between x = a and x = b will be,

Average rate of change = \(\frac{f(b)-f(a)}{b-a}\)

We have to calculate average rate of change of the given quadratic function between x = 0 and x = 2.

From the given graph,

f(2) = 6

f(0) = 10

Therefore, average rate of change = \(\frac{f(2)-f(0)}{2-0}\)

                                                          = \(\frac{10-6}{2-0}\)

                                                          = 2

Option B will be the answer.

Answer:

IQR is the range between the first and the third quartiles namely Q1 and Q3: IQR = Q3 – Q1. The data points which fall below Q1 – 1.5 IQR

Step-by-step explanation:

Answer:

3^3×3

81

3^7/3^3

Explanation:

First you should solve the expression you've got there.

(3^6×3^-4)^2

3^6= 3×3×3×3×3×3 the answer is 729

3^-4 A negative exponent means repeated division by the base. So for example 2^-4=1/(2^4)

=1/(2×2×2×2)= 1/16

3^-4= 1/(3^4)

=1/(3×3×3×3)

= 1/81 If you look up the answer in your calculator the answer that will show up will be 0.01234567901

So!

(729×0.01234567901)^2= 9^2

9^2= 81

Now you can look at the following expressions and whichever gives the answer 81 will be correct.

hope it helps!

Answer:

Step-by-step explanation:

I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:

\(28=100e^{-.0001t}\) and begin by dividing both sides by 100 to get

\(.28=e^{-.0001t}\) . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.

ln(.28) = -.0001t Now it's easy to solve for t.

\(\frac{ln(.28)}{-.0001}=t\) and

\(\frac{-1.272965676}{-.0001}=t\) so

t = 12729.65676 years or rounded, 12730 years.