The water level in a lake was 22 inches below normal at the beginning of March. The water level decreased by 3 1/6 inches in March and increased by 1 6/7 inches in April. What was the water level compared to normal at the end of April? Enter your answer as a mixed number.

If the gondola is filled with 25 randomly selected skiers, the probability that it will be overloaded is; 50%

The formula to find the maximum mean weight of passengers is;

Maximum mean weight = Load limit ÷ number of passengers

We are given;

Load limit = 5000 lb

Maximum number of passengers = 25

Thus;

Maximum mean weight of passengers = 5000 ÷ 25 = 200lb

Let us find the z-score:

z = (max value - mean) / st. dev

z = (200 - 200)/40

z  = 0

From online p-value from z-score calculator, the p-value = 0.5 and so that is the probability that it will be overloaded.

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The equation of the line perpendicular to 12y = 2x + 10 and passing though the point (-2,-1) is  y = -6x -7.

Writing the equation  12y = 2x + 10 in slope intercept form, we get,

y = (1/6)x + 5/6

The slope of the line is 1/6.

We know that,

Product of slope of two lines perpendicular to each other = -1.

Let the slope of the line perpendicular to the given line be m.

Hence, we can write,

m*(1/6) = -1

m = -6

Let the line perpendicular to the given line be y = mx + c.

It is given that the line perpendicular to the given line goes through (-2,-1).

Hence, we can write,

-1 = -6.(-1) + c

-1 = 6 + c

c = -7

Hence, the slope-intercept form of the line perpendicular to the given line is y = -6x -7.

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The z-scores that are the cutoffs are given as follows:

a. z = 1.645.

b. z = -1.96.

c. z = -0.51.

d. z = 0.

e. z = 0.

The z-score of a measure X of a variable that has mean given by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, we have that:

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While traveling to his grandmothers for Christmas, George had been asleep for 50% of the entire journey and this distance is found by reviewing the information given to us.

The length of the entire journey taken to get from one point to another is the distance travelled. Travel distance is not a vector. It has no orientation.

In this question,

Let us take that George had been asleep for x distance.

Then according to question, we can form the equation

3/4 = 1/2x + x

3/4 = 3x/2

x = 1/2

so, the total distance travelled is 50% of the entire journey.

Displacement is the straight path between the initial and final points, whereas distance travelled is the actual length the body covers.

The International System of Units defines a meter as the distance unit.

How can velocity be used to calculate distance travelled?

Finding the area under the velocity, in particular when velocity is positive on an interval, allows us to determine the total distance travelled.

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A list of fixed fees for services recorded on the encounter form is called the Superbills.

The purpose of encounter forms, often referred to as super bills, is to "document services performed by recording the diagnostic and procedure codes, which serve as the foundation for billing and receipt of payment for services." Every time a patient or customer receives a service, the provider records that service, often into medical claims software that may automate much of the subsequent procedure.

This technique entails coding (procedure codes and, if necessary, diagnostic codes), billing/invoicing, and/or transmission to the patient's or client's insurance provider. For the client's health and treatment plans as well as for proper billing, it is crucial to make sure that the appropriate information is documented. This is why encounter forms are such a crucial component of healthcare.

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When f(x) > 0, it means that on a graph, the line is above the x-axis.

Out of all the options, only in -2 < x < -1 is the graph above the x-axis.

For the other two intervals, the graph is below the x-axis.

-2 < x < -1

Answer:

C -7

Step-by-step explanation:

the numbers keep on decreasing by 7

Answer:EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

To find the final cost of the sales tax you need to:calculate the tax

As the sales tax is 9.75% you calculate the 9.75% of $200.00

The first and second graphs represent even function.

If f of x is equal to f of −x for all the values of x, then it is called Function. This implies that function is same for the positive x-axis and the negative x-axis. Trigonometric even function, and secant function are some of the examples of even function.

Following are the properties of an even function:

As the graph of first and second is symmetric about the y axis, therefore both represent even functions.

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Answer:

angle A: 75 degrees

Step-by-step explanation:

because m and n are both 180 degree angles so when you do 180-105 you get 75

a,d,e,h=105 degrees

b,c,f,g= 75

because 105+75=180

Answer:   Take the help of the Percentage Difference From X to Y Calculator to evaluate the increase/decrease from 105 to 125 is 19.0476% on dividing the absolute value with the average value and multiplied by 100.

Step-by-step explanation:

Hope Fully this helps you

By using the method of interest, principle is 2777.7.

An expense associated with borrowing money or other assets is interest. The principal is the amount borrowed, and the interest is calculated as a percentage of the principal for a specific period of time. The expense of borrowing money is interest. It equates to a fee or additional charge the borrower pays the lender for the loaned amount, and is sometimes stated as a percentage. When you make a payment on a loan with simple interest, the money first goes toward the interest for that month and the rest is applied to the principal. S.I. = P R T, where P = Principal, R = Rate of Interest in% per annum, and T = Time, typically calculated as the number of years, is the formula used to compute simple interest.

Given that,

S.I= PTR

Simple interest= 50

Time= 9/12= 0.75

Rate of interest= 2.4

Principle amount=?

S.I= PTR

50= P x 0.75 x 2.4

50= P x 1.8

P = 50X1.8

P= 2777.7

Therefore, principle is 2777.7

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the equation of the line will be:

then

and we obtain

and making the subtraction, we have

which is the same as

Answer:

Step-by-step explanation : devise ----> divide496 = 2*2*2*2*31The 2's can be used in 5 ways, that is, not take anytake 1take 2take 3take all 4the 31 can be used in 2 ways, either take or not take itnumber of factors = 5*2 = 10but that includes taking all or noneif we correspond to none as the factor 1 and if we take all we would get 496the factors would be1, 2, 4, 8, 16, 31, 62, 124, 248, and 496

Answer:

A)Linear angles

B) they have a sum of 180

C)25x+5+4+32x=180

57x+9=180

57x=171

x=3

D)25(9)+5=

75+5=80

32(3)+4=

96+4=100

Step-by-step explanation:

Based on the given task and the percentage of quarters in the coins, the total number of coins is 80 coins.

To calculate the total coins;

Let

Then, you will

Percentage of quarters = Number of quarters

15% of x = 12

15/100 × x = 12

0.15 × x = 12

0.15x = 12

x = 12 / 0.15

x = 80 coins

In conclusion, the total number of coins is 80 coins.

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To answer this question, first of all, we need to find the equation for each of the lines on the graph. To do so, we have to identify two points for each line, and then use the two-point form equation (of the line) to find the equation of each line.

Then, we have:

We identify two points: (1, 1) and (2, 2).

Then we have:

Then if we label both points above:

• (1, 1) ---> x1 = 1, y1 = 1

• (2, 2) ---> x2 = 2, y2 = 2

Therefore:

Therefore, the equation of the line for the solid line is y = x.

We can proceed similarly as we did before. Then we have:

The two points are (2, 4) and (4, 8).

Then we can label them as follows:

• (2, 4) ---> x1 = 2, y1 = 4

• (4, 8) ---> x2 = 4, y2 = 8

Therefore, the equation for the dotted line is y = 2x.

We need to remember that when we have the symbols < or > the inequality is represented by a dotted line. Conversely, when it appears additionally an equal sign in the inequality symbol, ≥ or ≤ the line is represented as a solid line.

If we see the graph, we can say that the graph is represented by the following inequalities:

Since if we represent them graphically, we have - using a graphing calculator:

We can observe that the shaded area is the same as the one represented in the graph given in the question.

We can prove that if we take a point in the solution region as follows:

1. For example, we can test the point (-2, 2). Then we have:

Now, using this we can check if the other system of inequalities is equivalent to this:

We can check the following inequalities:

Which is equivalent to the previous one.

In summary, we have that the systems of linear inequalities are the following:

[Third option]

And

[Fourth option]

[The second and the third options are not answers since both have the symbol, ≥, - and it means that we have two solid lines representing the inequality system.]

[In the first option we have that the first inequality represents a solid line, and this is not the case. The dotted line is represented by y > 2x.]

The non real roots of the polynomial x³ – 7x² + 15x – 25 = 0 are; 1 + 2i, 1 – 2i

Non real roots are simply imaginary roots.

We are told that the real roots of the equation  x³ – 7x² + 15x – 25 = 0 is 5.

Now, it means that (x - 5) is a factor of the given polynomial. Thus, we can factorize the polynomial as;

(x - 5)(x² - 2x + 5) = 0

Now, to find the non - real roots, we will use quadratic formula on (x² - 2x + 5) to get;

x = [-(-2) ± √((-2)² - (4 * 1 * 5))]/2(1)

x = (2 ± √(-16))/2

x = 1 ± 2i

x = 1 + 2i, 1 – 2i

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Answer:

c

Step-by-step explanation:

The mode for the number of customers counted by Lowes entering the store for the week is 1100.

The mode of a data is that with the highest frequency.

According to Lowe's counts, we have the following data:

There are three 1100 in the seven data counted by Lowes

we will notice after careful observation that we have more of the data 1100 with the highest frequency of 3 out 7 data counted.

Thus, we can conclude from our understanding that the mode of the data which is that with the highest frequency is 1100.

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Answer:

18.23

Hope this is right! (don't worry I did the math)

Answer:

Step-by-step explanation:

c lol

The means are the same and the standard deviations are different.

There are two lists given for which the means and the standard deviations need to be compared. So we first find the mean and standard deviation of each list one-by-one using the formulas,

Mean = (1/n)∑x

Variance = [(1/n)∑x²]- mean²

Standard deviation = √variance

List A  

x:  1      2     3      4     5      6

x²: 1      4     9    16    25     36

n = 6

Mean = (1/6)[1+2+3+4+5+6] = 21/6 = 3.5

Variance = 1/6[1+4+9+16+25+36] - 3.5² = 15.167-12.25 = 2.917

Standard deviation = √2.917 = 1.71

List B

x:  2    3    3     4     4    5

x²: 4    9    9    16   16   25

Mean = 1/6(2+3+3+4+4+5) = 21/6 = 3.5

Variance = 1/6(4+9+9+16+16+25)-3.5² = 13.167 - 12.25 = 0.917

Standard deviation = √0.917 = 0.9576

Hence the means are the same and the standard deviations are different.

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Given the equation that

The expression

is equivalent to

then the answer is option D

Since the root and the exponent commute, this also can be written as

then the answer is option B

And by the same reason, this can be written as

then the answer is option E

Answer: see answers below

Step-by-step explanation:

F(x) is bascially the y

the absolute value means any numbers that you use for x when substituted into x-2 will always be a positive number even if x-2 is negative as with any number 3 or greater, or any number -3 or less.  

for the values that are 0, 1, 2, 3, 4 or 0, -1, -2  the answer for f(x) will be a negative number.  All other numbers positive or negative for x will result in a positive answer.  

So you need to graph your line with an arrow on each end to show it goes to infinity.  in your chart you choose a number for x, and the f(x) number (which is equivalent to the y number for purposes of graphing.

I cannot draw on her a graph for you because I don't have that ability without an app for that.  

here are some sample points for your chart.  THe first number in each parenthesis is x and the second is f(x)

(-1, -2),  (-2, -1), (0, -3), (-3, 0), (1, -4), (2, -5), (3-4), (4,-3), (5-2), (6, -1)  All other numbers positive or negative for x will result in f(x) being positive.

You only need two sets of points to put on the graph to draw the line through.  

So negative values for f(x) can only be -1, -2, -3, -4, -5.   x can include all negative numbers through infinity.

Positive will include all positive numbers through infinity for x  and f(x).

F(x) cannot decrease beyond -5.   x can decrease all numbers  through infinity.

In Mrs. Brown’s 75% percent of the class likes to dance .

What are mathematics operations?

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Given:

number of students in Mrs. Brown’s class = 24

number of students likes to dance = 18

Then to find the percent of the class likes to dance we divide 18 by 24 and multiply with 100:

percent of the class likes to dance = (18/24) x 100

percent of the class likes to dance = 75%

Therefore,  in Mrs. Brown’s 75% percent of the class likes to dance .

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Answer:75%

Step-by-step explanation:

number of students in Mrs. Brown’s class = 24

number of students likes to dance = 18

Then to find the percent of the class likes to dance we divide 18 by 24 and multiply with 100:

percent of the class likes to dance = (18/24) x 100

percent of the class likes to dance = 75%

Therefore,  in Mrs. Brown’s 75% percent of the class likes to dance.

Answer:

Yes.

Step-by-step explanation:

Divide 430/17 and you get around 25, signifying the correct answer is right in the middle of Hailey's estimation.