15. Gerald’ average core for nine tet wa 96. If the um of the core of two of hi tet wa 178, then what wa hi average for the other even tet

Answers

Answer 1

Let x is average for rest of seven test. Then average for remaining test is x= 2.27

What is average?

The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

Why is average called mean?

The middle point of the set of values is the mean. It represents the mean of the data set's values. In statistics, the centre number, also known as the mean, is referred to as the average.

We want the TOTAL average to equal 94

4/9 of the 5 scores have an average of 178

Let x = average of the 5 remaining test, which is worth 5/9 of the total average.

We get: 94 = (4/9)(178) + (5/59)(x)

94=712/9+59x/9

846=712+59x

846-712=59x

134=59x

134/59=x

Solve: x = 2.27

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Related Questions

Help me please…20points!!

Answers

Answer:

The answer is b . the first was appel and the second was blackberry

1. Given the data: 12, 14, 21, 19, 25, 29, 26,
21, 15, and 18. Calculate the standard deviation,
the mean, and the interquartile range using the
calculator.

Answers

For the data  12, 14, 21, 19, 25, 29, 26, 21, 15, and 18.

the mean is 20

the standard deviation is 3.7

the interquartile is 10

How to solve for the mean

For the data  12, 14, 21, 19, 25, 29, 26, 21, 15, and 18. the mean is calculated as follows

= sum of data / number of data

sum = 200

number of data = 10

mean (x bar)  = 200 / 10

= 20

standard deviation

standard deviation is the square root of  the ratio of sum of squares to number of samples

sum of squares = (x - x bar)²

= (12 - 20)² + (14 - 20)² + (21 - 20)² + ......+(21 - 20)² + (15 - 20)² + (18 - 20)²

= 274

standard deviation = √(274 / 20) = 3.7

Interquartile range = upper quartile - lower quartile

raw data = 12, 14, 21, 19, 25, 29, 26, 21, 15, and 18

arranged data =  12, 14, 15, 18, 19, 21, 21, 25, 26, 29,

upper quartile = 25

lower quartile = 15

Interquartile range = 25 - 15 = 10

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Sam tested every 50th candy bar from the assembly line to make sure there were enough peanuts in each bar. He found 15% did not have enough peanuts. How many candy bars do not have enough peanuts if the factory produces 20,000 candy bars?.

Answers

Here every 50th candy bar is tested . It is a sampling interval .

What does "systematic sampling" mean?

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at regular intervals, such as every 15th person on a population list.

                       The advantages of simple random sampling can be imitated if the population is arranged randomly.

Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval. This interval, called the sampling interval.

Here every 50th candy bar is tested . It is a sampling interval .

Therefore he use systematic sampling plan.

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a party store has 54 packs of plates in stock. the packs are either sets of 8 or sets of 12. if the store has 496 total plates in stock, how many plates would a customer but if he or she buys all of the packs of 12 that the store has in stock?

Answers

If the customer purchases every pack of 12 which the shop has 192 plates in stock.

Explain the method of substitution?Three steps make up the substitution technique: For each of the variables, solve one equation. Put this expression (or plug it in) into the other equation, then solve it. To identify the matching variable, rewrite the value's original equation.

Total number of  packs of plates = 54.

The set are either sets of 8 or sets of 12.

Let x represent the overall number of 12-plate packets.

There will therefore be in total packs of 8 plates: 54 - x.

Thus,

8(54−x) + 12x = 496

432 − 8x + 12x = 496

4x = 64

x = 16

Thus, there are 16 packs of 12 plates in the store.

So, if a consumer purchases all of the 12-packs of plates, he will ultimately purchase 1216 = 192 plates.

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Can anyone please help me out with this question?

Answers

a) The percentile rank of a score of 71 on this test is given as follows: 33rd percentile.

b) Victor's score, which is the 60th percentile, is given as follows: 84.

What is a percentile?

A measure is said to be in the xth percentile of the data-set if it the bottom separator of the bottom x% of measures of the data-set and the top (100 - x)% of measures, that is, it is greater than x% of the measures of the data-set.

The ordered data-set in this problem is given as follows:

58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96.

The data-set is composed by 15 scores, and 5 is the 5th score in the data-set, hence the percentile rank of a score of 71 on this test is calculated as follows:

5/15 = 0.33 = 33rd percentile.

The 60th percentile is the score at the position given as follows:

0.6 x 15 = 9th score = 84.

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the interest charged on a $50,000, 60-day note payable, at the rate of 6%, would be

Answers

If the interest charged on a $50,000, 60-day note payable, at the rate of 6%, would be $500.

In the given question, we have to find the interest charged on a $50,000, 60-day note payable, at the rate of 6%.

The note payable = $50,000

Rate = 6% = 0.06

Period outstanding = 60

The total interest formula is a way to calculate the total simple interest on a sum of money over time at a specific interest rate.

Total Interest charged = Note Payable * rate * period outstanding

Total Interest charged = $50,000 * 0.06 * 60/360

Total Interest charged = $500

Hence, if the interest charged on a $50,000, 60-day note payable, at the rate of 6%, would be $500.

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In the figure above, is AB || CD?

1. If m 2 5 = 30 and m 2 3 = 150?

A. Yes because angles 5 and 3 are same-side interior angles.
B. Yes because angles 5 and 3 are alternate interior angles.
C. Yes because angles 5 and 3 are vertical angles.
OD. No because angles 5 and 3 are vertical angles.
O E. No because angles 5 and 3 are corresponding angles.
F. No because angles 5 and 3 are alternate interior angles.

Answers

Answer:

the answer is yes because angles 5 and 2 are same side interior angles and same side interior angles add up to 180*.

Step-by-step explanation:

Make sure not to be fooled by the "it looks like it" theorem.  Teachers will try to trick you by making the lines look not parallel.  All you need to look at are if the angles are congruent or supplementary based on the theorems you hopefully were taught in class.  Wow what has brainly done I sound like a teacher lol.

B is the correct answer

Consider the values shown. What
place value must the answer be
reported to?
67.4 +43 +30 + 42.10 =
A. tens place B. ones place
C. tenths place
D. hundredths place

Answers

67.4 + 43 + 30 + 42.10 = 182.5
Answer: C. tenths place
This is because the last digit is in the tenths place.

A cell phone is originally priced at $120. The store owner gives a discount and the cell phone is now priced at $90. Find the percentage discount for the cost of the cell phone,.

Answers

Answer:

25%

Step-by-step explanation:

To find the percentage discount for the cost of the cell phone, we need to first find the difference between the original price and the discounted price:

$120 - $90 = $30

Then we need to divide this amount by the original price and multiply by 100% to express the result as a percentage:

($30 / $120) * 100% = 25%

Therefore, the percentage discount for the cost of the cell phone is 25%.

25%

Guy above is right.

Write in standard form:
8.254 x 10^6

•Type your answer using commas to show place value.
•Type your answer with NO spaces

Answers

The number is the standard from is given by the equation A = 8.254 x 10⁶

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 8.254 x 10⁶

On simplifying the equation , we get

A = 8.254 x 1000000

Multiplying the number , we get

A = 8,254,000

Now , the number can also be written as

A = 8254000

So , the standard form of the number A is given by the equation

A = 8.254 x 10⁶

Hence , the number is A = 8.254 x 10⁶

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Find the lengths of the hypotenuses (x) of the triangle whose legs are given

1) 8cm,15cm

Answers

Answer:

hypotenuse is 17cm

Step-by-step explanation:

According to Pythagoras theorem,

AC²=AB²+BC²

AC² = 8²+15²

AC = √64+225

AC =√ 289

AC =17cm

Select all the correct answers. which two equations can you use to find the adult and child admission fees for a puppet show? let a represent the fee for adults and c represent the fee for children. adults children admissions collected day 1 45 30 $315 day 2 50 40 $370 45c 30a = 315 45a 50c = 315 45a 30c = 315 50c 40a = 370 50a 40c = 370

Answers

The two equations can you use to find the adult and child admission fees for a puppet show are 45a + 30c = 315 and 50a + 40c = 370

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, two equations can you use to find the adult and child admission fees for a puppet show

Let a represent the fee for adults

Let c represent the fee for children.

On day 1 number of adults = 45

So, fees of 45 adults = 45a

On day 1 number of children= 30

So, fees of 30 children = 30c

Total collection on day 1 = 315

Therefore, equation is 45a + 30c = 315

On day 2 number of adults = 50

So, fees of 50 adults = 50a

On day 2 number of children = 40

So, fees of 40 children = 40c

Total collection on day 2 = 370

So, equation = 50a + 40c = 370

Hence, The two equations can you use to find the adult and child admission fees for a puppet show are 45a + 30c = 315 and 50a + 40c = 370

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The price of a new phone is $960.00 and the rate of tax is 7.6%.what is the amount of sales tax?

Answers

Answer: $72.96

Step-by-step explanation:

7.6% = 0.076

Take 960.00 times 0.076 = $72.96

Henry read for 20 minute each day alicia rate for 30 minute each day they both read 7 Day of a week how many more doe Alicia read then Henry in 2 week

Answers

Alicia read 140 minutes more then Henry in 2 week .

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.

Main body:

Henry read for 20 minute each day.

Alicia rate for 30 minute each day.

as they read 7 day of a week , so

total minutes read by Henry = 2 *7 *20

                                               = 280 minutes

total minutes read by Alicia = 2 *7 *30

                                              =420 minutes

difference between henry , alicia reading = 420 - 280 = 140 minutes.

Hence , Alicia read 140 minutes more then Henry in 2 week .

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Simplify: -3x + 6 - 3x - 24 + 2y
-6x + 2y - 18
2y - 18
6x + 2y - 30
None of these choices are correct.

Answers

Answer:

To simplify the expression -3x + 6 - 3x - 24 + 2y, you can start by combining like terms.

-3x and -3x are both negative, so they can be combined to give -6x.

6 and -24 are both constants, so they can be combined to give -18.

So the simplified expression is: -6x - 18 + 2y

If you want to write the expression in standard form, you can rearrange the terms to give: 2y - 6x - 18

CORRECT ME IF I'M WRONG

Shawna bought an antique writing
desk marked down from $6,116 to
$1,951. What percentage is the
discount?
(round your answer to the nearest percent)

Answers

Percent changes are measured by (the change in amount) divided by (the starting amount).


In this case, you'd have

        [tex]\dfrac{6116-1951}{6116}=\dfrac{4165}{6116}\approx 0.6810[/tex]

This is about a 68% discount.

write an equation of the circle with center (-6,8) and radius 9

Answers

Answer:

(x + 6)^2 + (y - 8)^2 = 81

Step-by-step explanation:

6(x - 3)2(4x - 3) = 6
0x = 3
0x = -9
0x = 4
0x = 9

Answers

The two possible solutions for the given equation are -

[x] = 0.696 and [x] = 3.054.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the equation as follows -

6(x - 3).2(4x - 3) = 6

We have the equation as -

6(x - 3).2(4x - 3) = 6

12(x - 3)(4x - 3) = 6

(x - 3)(4x - 3) = 6/12

(x - 3)(4x - 3) = 1/2

x(4x - 3) - 3(4x - 3) = 1/2

4x² - 3x - 12x + 9 = 1/2

4x² - 15x + 9 = 1/2

2(4x² - 15x + 9) = 1

8x² - 30x + 18 = 1

8x² - 30x + 17 = 0

(x - 0.696)(x - 3.054) = 0

(x - 0.696) = 0     and     (x - 3.054) = 0

x = 0.696     and    x = 3.054

Therefore, the two possible solutions for the given equation are -

[x] = 0.696 and [x] = 3.054.

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The three perpendicular bisectors of a triangle intersect in one point called the: _______

Answers

It is called the [circumcenter]

Mr. Croland aked tudent to factor the expreion 28x−8
28
x

8. The tudent offered the anwer hown in the box. Which tudent() offered anwer() equivalent to the original expreion?

Answers

The students who offered the answer equivalent to original expression are Carlos and Irene.

The original expression can be traced back by solving the solution of each student. Thus, taking each solution.

Carlos

Performing multiplication of the solution

Expression = 2(14x - 4)

Expression = 28x - 8

Danny

Performing multiplication of the solution

Expression = 7(4x - 1)

Expression = 28x - 7

Irene

Performing multiplication of the solution

Expression = 4(7x - 2)

Expression = 28x - 8

Thus, Carlos and Irene gave the correct factors of the original expression.

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The complete question is -

Mrs. Crosland asked students to factor the expression 28 x − 8 . The students offered the answers shown in the box

Carlos: 2(14x - 4)

Danny: 7(4x - 1)

Irene: 4(7x - 2)

All the gummy machines at a candy factory work at the same rate: Six machines working simultaneously can complete big order in 22 hours. How many hours would it take t0 fill the order if the number of working machines decreased by a factor of 2? er: hours

Answers

The numbers of hours taken to fill the order if the number of working machines decreased by a factor of 2 is; 44 hours

How to find the rate of work?

We are given;

Numbers of hours a work is complete by 6 machines = 22 hours

Now, we know that the number of hours required to complete a work is inversely proportional to the number of machines used.

Therefore, If the number of working machines decreased by a factor of 2, then the number of hours will be increased twice.

Therefore, we can say that;

The numbers of hours taken to fill the order = (22 * 6)/3

= 44 hours

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4 1/7 divided by 2/3

Answers

Exact Form: 87/14

Decimal Form: 6.21428571... or 6.21

Answer: 6.21

Step-by-step explanation:

80085

part 2 of important test, all solutions need to be the same

helppp

Answers

The solution of the quadratic equation using the quadratic formula is

x = 4 + 2√6 or  4 - 2√6

How to solve a quadratic equation using quadratic formula?

The quadratic formula is a formula used to solve quadratic equations, which are equations of the form ax² + bx + c = 0 where a, b, and c are constants. The quadratic formula is:

x = (-b±√(b²-4ac))/(2a)

Given: x² - 8x - 84 = 0

Here, a = 1, b = -8 and c = -84

x = (-b±√(b²-4ac))/(2a)

x = [-(-8)±√((-8)²-[4×1×(-8)])]/(2a)

x = [8±√(96)]/2

x = (8± 4√6)/2

x = 4 ± 2√6

x = 4 + 2√6 or  4 - 2√6

Thus, the solution is x = 4 + 2√6 or  4 - 2√6

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A questionnaire was given to students. The first question asked was "How stressed have
you been in the last week on a scale of 0 to 10 with O being not stressed at all and 10
being as stressed as possible?" The responses are shown to the right.

Answers

a. Stress rating describes the greatest number of students is: 8 out of 10

b. There are 156 students that responded with this rating.

How to calculate the stress rating?

A questionnaire is a research tool made up of a list of questions used to collect data from respondents during a survey or statistical analysis. Typically, a research questionnaire will contain both closed-ended and open-ended questions.

From the table, the total students will be the addition and this will be:

= 6 + 2 + 5 - 16 + 20 + 20 + 11 + 21 + 24 + 19 + 12

= 156

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PLS HELP FOR 100 POINTS PLS

Answers

Answer:

it is 3

Step-by-step explanation:

I don't know I would

Answer:

it is 3

Step-by-step explanation:

It Basile 9 divide by 4

02.03 Focus Questions- please help 50+ points
What are linear equations and functions?
What are the different ways of representing a linear function?
How are key features of a linear function identified and interpreted from a graph?
How are key features of a linear function identified and interpreted from a table?
How are key features of a linear function identified and interpreted from an equation?
How are key features of a linear function identified and interpreted from a description?

Answers

Step-by-step explanation:

first of all, a function is an equation.

it associates a function result variable (typically called y) with a calculation based on an input variable (usually caked x), or in more complex mathematics based on a group of input variables.

but not every equation is a function. to be a function every valid x value must have exactly one associated y value.

e.g. x = 5 is an equation. but it does not restrict y in any way. so, any value of y (infinitely many) is valid for x = 5.

therefore, this is not a function.

a linear equation/function is a straight line (hence the name).

it is characterized by an inclination (typically called slope or rate of change) and its absolute position typically incentives by the interception points particularly with the y-axis on a coordinate grid.

there are various ways to describe a line in a formal way.

the slope-intercept form :

y = ax + b

a being the slope, b being the y-intercept (y-value when x = 0).

the point-slope form

y - y1 = a(x - x1)

again, a is the slope, (x1, y1) is an identified point (coordinates) on the line.

the general (often called standard) form

gx + hy = c

g, h, c are not describing anything directly, but after transforming this standard form they build the "a" and "b" terms of the other forms.

the slope is the ratio of (y coordinate change / x coordinate change) when going from one point on the line to another. for a line this is constant for any pair of points you can pick on the line.

in other words it tells us how many units y changes, when x changes by a certain amount of units

basically, a line is the collection of all the points for which the given equation is true (when using the x coordinate in the equation we get the corresponding y as calculation result, or when using x and y of any point on the line in the equation, then the equation is true).

graph :

the slope is found by checking 2 points and calculating the y diff / x diff ratio. e.g. starting with (0, 0) if that point is in the line, we increase x by 1 and check the y value there : (1, y).

so, the slope is for that example (y - 0)/(1 - 0) = y.

the y-intercept is found by checking the y-value for x = 0.

the y-interception point is therefore (0, b).

the x-intercept is the x-value when y = 0.

the x-interception point is therefore (x-intercept, 0).

table :

for the slope we pick again 2 data points of the table and calculate y diff / x diff.

as explained this has to be constant for any picked pair of data points of the table. then you know it is a linear equation.

if we are lucky, the table contains data points with x = 0 and/or y = 0. then we have the corresponding intercept values.

but if not, we need to use the coordinates of 1 point in the e.g. slope-intercept form to create an equation with 1 variable : b. and then we solve it to get b.

equation :

we need to bring the equation into a form that we get

y = ...

then the factor of x is the slope. and the constant term (even if it is not there, as it means it is 0) defines the y-intercept

everything else is as described above

description :

the description needs to give us either data points or an indication about the slope and the y-intercept.

when we have 2 points, we can define a line through them. in other words, any pair of points defines a line.

45 − (−28) = A) −73 B) −17 C) 63 D) 73

Answers

Answer:

(d) 73
- and - are plus so 45+28

Step-by-step explanation:

Answer:

D) 73

Step-by-step explanation:

-)- basically means plus so 45 + 28 is ... 73,so that's your answer!

points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints. is the meaning of _____

Answers

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints is the meaning of perpendicular bisector theorem

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment ,then it is equidistant from the segment's endpoints.

The perpendicular bisector of a triangle is the line segment that is drawn from a vertex to the opposite side bisecting the side at a right angle. The perpendicular of a triangle is perpendicular to the sides drawn from the opposite vertices and divides the sides into two equal parts. The point at which all the three perpendicular bisectors of a triangle meets is called the circumcenter of a triangle.

It is the meaning of perpendicular bisector theorem.

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Which of the following government agencies does not regulate banking or financial markets?
a.
The NCUA
b.
The Federal Reserve
c.
The FCC
d.
The OCC

Answers

The government agency that does not regulate banking or financial market is the The FCC. option C

What is the meaning of FCC?

The term FCC stands federal Communication Commission.  We should know that the duty of the federal communication Commission not to regulate finance in the society or regulate banking activities rather than to regulate Communication

It is the duty of the Commission to report on chain broadcasting, assign television stations to private and government individuals in the state.

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PLEASE HELP ASAP
90 students sat a Maths exam. On the way out of the hall, they were asked whether they found it hard, OK or easy. Here are the results:
Show the results on a pie chart. Remember to include full workings, so it is clear how you have calculated each angle.

Answers

Answer:

Hey, answer is attached.

Step-by-step explanation:

Hope this helps.

Other Questions
Question: How has Byron transformed source material from the myth of Prometheus? A. Prometheus dies at the end of the poem to develop the idea that there is glory in sacrificing one's life to maintain one's pride. B. Byron uses Zeus's excessive pride as a warning to humankind of the consequences of vanity.C. Prometheus escapes from punishment in the poem, demonstrating that the power of good often triumphs over the power of evil.D. Byron uses Prometheus's story as a representative of the fate of humankind. Passage: Titan! to whose immortal eyesThe sufferings of mortality,Seen in their sad reality,Were not as things that gods despise;What was thy pity's recompense?A silent suffering, and intense;The rock, the vulture, and the chain,All that the proud can feel of pain,The agony they do not show,The suffocating sense of woe,Which speaks but in its loneliness,And then is jealous lest the skyShould have a listener, nor will sighUntil its voice is echoless.Titan! to thee the strife was givenBetween the suffering and the will,Which torture where they cannot kill;And the inexorable Heaven,And the deaf tyranny of Fate,The ruling principle of Hate,Which for its pleasure doth createThe things it may annihilate,Refus'd thee even the boon to die:The wretched gift EternityWas thineand thou hast borne it well.All that the Thunderer wrung from theeWas but the menace which flung backOn him the torments of thy rack;The fate thou didst so well foresee,But would not to appease him tell;And in thy Silence was his Sentence,And in his Soul a vain repentance,And evil dread so ill dissembled,That in his hand the lightnings trembled.Thy Godlike crime was to be kind,To render with thy precepts lessThe sum of human wretchedness,And strengthen Man with his own mind;But baffled as thou wert from high,Still in thy patient energy,In the endurance, and repulseOf thine impenetrable Spirit,Which Earth and Heaven could not convulse,A mighty lesson we inherit:Thou art a symbol and a signTo Mortals of their fate and force;Like thee, Man is in part divine,A troubled stream from a pure source;And Man in portions can foreseeHis own funereal destiny;His wretchedness, and his resistance,And his sad unallied existence:To which his Spirit may opposeItselfand equal to all woes,And a firm will, and a deep sense,Which even in torture can descryIts own concenter'd recompense,Triumphant where it dares defy,And making Death a Victory. diagnostic testing has resulted in a diagnosis of small cell lung cancer (sclc) in an older adult client. when exploring the etiology of the client's disease, what assessment question is most relevant? consumers may use roth ira funds to obtain the down payment for their home purchase. which of the following scenarios is allowed? superantigen type toxins lead to the release of excessive amounts of __________________ stimulating a hyperactive immune response that can lead to shock and death in the affected individual. Which of the following is the term for CRM analytics that provides information about where data erosion occurs and how the erosion can be minimized? 7) Which of the following best describes the complete sequence of steps occurring during every cycle of PCR?I-The primers hybridize to the target DNA.II-The mixture is heated to a high temperature to denature the double stranded target DNA.III-Fresh DNA polymerase is added.IV-DNA polymerase extends the primers to make a copy of the target DNA.A) II, I, IV.B) I, III, II, IV.C) III, IV, I, II.D) III, IV, II.E) II, III, IV. the information processing errors made the investor misestimate the true probabilities of events or the return rates. that's why they make the investors misestimate the prices. for example, investors may be overconfidence persons, so they overestimate prices. or may conservatism persons, so they underestimate the prices, or they have forecasting errors, and their assumptions in their models are totally wrong. A card is drawn from a standard 52-card deck (no jokers). Match each event with its probability. Probabilities:*The probability the card is red, given that it is a face card. *The probability the card is a king, given that it is a face card. *The probability the card is red, given that it is a spade.*The probability the card is red, given that it is a face card. *The probability the card is a face card, given that it is a queen. Options:1/2 1/310 a probability distribution has a mean of 28 and a standard deviation of 4. use chebychev's inequality to estimate the probability that an outcome of the experiment lies between 20 and 36.\ N C++InstructionsIn this chapter, the class dateType was designed to implement the date in a program, but the member function setDate and the constructor do not check whether the date is valid before storing the date in the member variables. Rewrite the definitions of the function setDate and the constructor so that the values for the month, day, and year are checked before storing the date into the member variables. Add a member function, isLeapYear, to check whether a year is a leap year. Moreover, write a test program to test your class.Input should be format month day year with each separated by a space. Output should resemble the following:Date #: month-day-yearAn example of the program is shown below:Date 1: 3-15-2008this is a leap yearIf the year is a leap year, print the date and a message indicating it is a leap year, otherwise print a message indicating that it is not a leap year.The header file for the class dateType has been provided for you.dateType.h#ifndef date_H#define date_Hclass dateType{public:void setDate(int month, int day, int year);//Function to set the date.//The member variables dMonth, dDay, and dYear are set//according to the parameters//Postcondition: dMonth = month; dDay = day;// dYear = yearint getDay() const;//Function to return the day.//Postcondition: The value of dDay is returned.int getMonth() const;//Function to return the month.//Postcondition: The value of dMonth is returned.int getYear() const;//Function to return the year.//Postcondition: The value of dYear is returned.void printDate() const;//Function to output the date in the form mm-dd-yyyy.bool isLeapYear();//Function to determine whether the year is a leap year.dateType(int month = 1, int day = 1, int year = 1900);//Constructor to set the date//The member variables dMonth, dDay, and dYear are set//according to the parameters//Postcondition: dMonth = month; dDay = day;// dYear = year//If no values are specified, the default values are//used to initialize the member variables.private:int dMonth; //variable to store the monthint dDay; //variable to store the dayint dYear; //variable to store the year};#endifdateTypelmp.cpp//what goes here?main.cpp#includeusing namespace std;int main() {// Write your main herereturn 0; the ability to motivate oneself and control impulses, persist in the face of frustration, and keep distress from overwhelming the ability to think are the elements of: confirmations of accounts receivable provide the most evidence for which of the following assertions? a. completeness. b. existence. c. rights and obligations. d. valuation or allocation. Indentify a pair of segments that are marked perpendicular to each other on the diagram below a client has been admitted to the hospital for the treatment of exacerbation of chronic obstructive pulmonary disease. which statement constitutes a long-term outcome for this client? Avi and Micah are teammate on a track and field team. Avi' bet long jump i 1 1/6 time a long a Micah. Avi' bet long jump i 3 1/2 meter. How long i Micah' bet long jump? a less than /- 5 is usually an indicator of a reliable public opinion poll. a. margin of error b. modal response c. sample size d. standard deviation e. self-selection bias an air war that targeted ports,Industrial centers, militaryfacilities, and civilian areas Which of the following commands will create a symbolic link named foo.txt to an original file named bar.txt Which of the following is an example of governmental mandatory spending?Select one:a. Educational programs.b. Environmental and Space Programs.c. Paying the interest on the federal debt.d. National defense spending. A recipe calls for 3 cups of milk to accommodate 8 people. However,you are preparing food for 20 people. What are the number ofof milk you will need for 20 people?cups