our test statistic z is found by taking the observed difference (81%-72%) minus the expected difference divided by the se for the difference. what is the expected difference in this problem? in other words, what would we expect the difference to be under the null hypothesis?

The expected value of x for the awarded 3 points for each coin that lands with heads faceup is 27/8.

In this instance, we are informed that:

The probability of each of them is calculated as:

Situation 1: No heads

That implies that all three coins must land on the tail.

Thus, there is only one method to accomplish this. While the whole range of potential outcomes is;

= 2x 2x 2

= 8

via the product rule (because each coin has two alternative outcomes).

The result is:

P(x =0) = 1/8

Situation 2: One head

Single head means three points, or X = three.

Total outcomes possible = 8,

Single head can occur in 3 different ways, as other two needs to be strictly tails.

Thus,

P(x = 3) = 2/8

Situation 3: Two heads

Two heads equals 3+3 = 6.

X = 6

8 outcomes are possible in total.

Single tail means two heads. Three separate scenarios can lead to a single tail.

Therefore,

P(x = 6) = 2/8

Situation 4: Three heads

Three heads signifies that X = 9 or 3+3+3 = 9 points.

8 outcomes are possible in total.

Three heads means there is only one way to do it and no tail.

Thus,

P(x = 9) = 1/8

As a result, the expectation of X is determined as follows:

E(x) = 0. 1/8 + 3. 2/8 + 6. 2/8 + 9. 1/8

E(x) = 27/8

Therefore, 27/8 is the expected value of X.

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The simplified expression of the statement is -41.66

From the question, we have the following parameters that can be used in our computation:

negative 17 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 4 squared minus 4 and 7 tenths

Rewrite properly

So, we have

(-17 - 3.7 + 9.15)/5 * 4² - 4.7

Evaluate the sum and the difference in the expression

So, we have

-11.55/5 * 4² - 4.7

Evaluate the exponent and the quotient

-2.31 * 16 - 4.7

So, we have

-36.96 - 4.7

Evaluate

-41.66

Hence, the solution is -41.66

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2x^2 −3x +9=0 is the given equation that is quadratic.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax^2 + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable.

Quadratic expressions are those involving powers of x up to the second power, not the fourth power, hence the prefix quad signifies "four" rather than "two."

As highest power of variable is 2 so the expression 2x^2 −3x +9=0 is quadratic.

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Answer:

true i think

Step-by-step explanation:

Part (c) is the correct option i.e. The total dealer's cost is $16588.36.

What is Percentage ?

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given, Cost paid for car's options = 82 % $3,098 = $2540.36

           Cost paid for base price = 85 % $15,480 = $13158.

           Destination charge = $890

∴ The total dealer's cost will be :

 = Cost paid for car's options +  Cost paid for base price +  Destination charge

=  $2540.36 + $13158 + $890

= $16588.36.

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Answer:

(-41, 30)

Step-by-step explanation:

The midpoint of a segment lies on the segment.

x: (-88 + 6)/2 = -41

y: (61 + (-1)) = 30

Answer: (-41, 30)

Answer:

(x-1)(2x+5)

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For the binomial distribution, √npq formula finds the standard deviation.

See the image below for the complete solution to the question:

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Answer: wait how much was her allowance

Step-by-step explanation:

√10.24 belongs to the set of rational numbers.

Here we are given the number √10.24.

Now first we see that √10.24

= 3.2

Now as we can see that there is a number other than 0 after the decimal point here. Hence the above number cannot be classified as a natural number, a whole number, or an integer.

However, on converting 3.2 into the fractional form, we see that

3.2 = 32/10

reducing this to smallest form we get

16/5

Here we could easily represent 3.2 in the form of p/q where q is not equal to 0.

Hence p/q is a rational number.

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Answer:

Nelson's average speed was 8 miles per hour.

Step-by-step explanation:

To find Nelson's average speed, you need to divide the distance he traveled by the time it took him to travel that distance. In this case, Nelson traveled 20 miles in 2 1/2 hours, so his average speed was 20 miles / 2.5 hours = <<20/2.5=8>>8 miles per hour.

Answer:

8 miles per hour

Step-by-step explanation:

In order to find Nelson's average speed, we can set up a proportion. To solve for x, x being miles traveled in one hour.

[tex]\frac{20 miles}{2.5hours} =\frac{x miles }{1 hour}[/tex]

x= 8

Answer:

Therefore, the equation of the line that is parallel to the given line and passes through the point ( − 6 , 9 ) (−6,9) is y = 4x + 33.

Step-by-step explanation:

To find the equation of a line that is parallel to a given line and passes through a given point, you can use the point-slope form of a linear equation. The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

Where (x1, y1) is the point through which the line passes, and m is the slope of the line.

The slope of a line is given by the difference in the y-coordinates of two points on the line, divided by the difference in the x-coordinates of those points. The slope of a line is also the coefficient of the x-term in the standard form of a linear equation (y = mx + b).

In this case, the given line is x − 6y = −60 − 9x. To find the slope of this line, you can rearrange the equation to standard form:

x − 6y = −60 − 9x

−9x + x − 6y = −60

−8x − 6y = −60

y = 4x + 15

The slope of this line is m = 4.

To find the equation of a line parallel to this line that passes through the point ( − 6 , 9 ) (−6,9), you can use the point-slope form of a linear equation with (x1, y1) = ( − 6 , 9 ) (−6,9) and m = 4:

y - 9 = 4(x - (-6))

y - 9 = 4(x + 6)

y - 9 = 4x + 24

y = 4x + 33

Answer:

1/3 * [tex]4\pi[/tex] * h = 207, h = 155.25[tex]\pi[/tex]

Step-by-step explanation:

Since we know the area of the base is [tex]4\pi[/tex], that means the volume of the cone is:

1/3 * [tex]4\pi[/tex] * h

If we substitue, we get:

1/3 * [tex]4\pi[/tex] * h = 207

(This is the answer! If you want to solve, go below)

Now, we just solve

[tex]4\pi\\[/tex] * h = 621

h = 621/[tex]4\pi\\[/tex]

h = 155.25[tex]\pi[/tex]

The distance travelled from Buffalo to Cleveland if the total cost of the move is $724.85 is  479.97

The base cost of the rental is said to be 49.95 dollars + 1.19 per mile

The cost of the gas is $3.89. The mileage of the truck is 18 miles

There would be an extra cost of

$3.89/18 per mile.

= 0.216111

In x miles we would have the equation that is written as:

C(x) = 49.95 + (1.19 + 0.21611)x

C(X) = $724.85 this is the total cost. Hence we would have

$724.85 =  49.95 + 1.19x + 0.21611x

$724.85 -   49.95 = 1.40611x

674.9 = 1.40611x

divide through by 1.40611

674.9 / 1.40611 = x

x = 479.97

The distance traveled is  479.97

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Answer:

21%

Step-by-step explanation:

Step-by-step explanation:

1) divide 134 by 106

106/134 is about 0.79

2) Multiply by 100 to find the percentage

0.79(100)= 79%

3) Subtract 79% from 100% to find the percentage difference

100%-79%= 21%

Therefore, the percent of change between 134 and 106 is 21%.

32 papers would Ashley have to remain to grade after working for 6 hours.

What is simplification?

Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Ashley is a teacher and takes home 98 papers to grade over the weekend.

She can grade at a rate of 11 papers per hour.

We have to calculate how many papers would Ashley has remaining to grade after working for 6 hours.

Based on the given conditions, formulate:: 98 - 11 × 6

Calculate the product or quotient: 98 - 66

Calculate the sum or difference: 32

Hence, 32 papers would Ashley have to remain for a grade after working for 6 hours.

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The value of the numerical expression -(5⁻⁴)(5²) will be - 1/25. Then the correct option is C.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ -(5⁻⁴)(5²)

Simplify the expression, then we have

⇒ -(5⁻⁴)(5²)

⇒ -(1/5⁴)(5²)

⇒ -(5² / 5⁴)

⇒ - 25 / 625

⇒ - 1/25

The value of the numerical expression -(5⁻⁴)(5²) will be - 1/25. Then the correct option is C.

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583 times the length of jeff's ride was larry's bike ride

Word problem in maths is a maths question written as one sentence or more that requires children to apply their maths knowledge to a ‘real-life’ scenario. a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation. As most word problems involve a narrative of some sort, they are sometimes referred to as story problems and may vary in the amount of technical language used.Word problems are usually made up of a few sentences describing a scenario that needs to be solved through maths. These scenarios are usually ‘real-life- ones, situations that people might find themselves in every day. For example, it could be the division of pizza between party members or working out how long a train might take from one place to another.

This means that children must be familiar with the vocabulary associated with the mathematical symbols they are used to, in order to make sense of the word problem.

Given,jeff jogged 4 miles today, and larry biked 2 1/3 miles.

Let x times the length of jeff's ride was larry's bike ride.

4x= 7/3

x=.583 times

So, .583 times the length of jeff's ride was larry's bike ride.

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To write its equation in the form y is a(xh)2+k and then determine the value of the coefficient a.

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If an object travels according to a distance function, d(t), and d' (c) < 0, then at t = c we know that the velocity is positive.

The derivative of a function of a real variable in mathematics describes the sensitivity of the function value to a change in its argument. Calculus relies heavily on derivatives. Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure that determines the instantaneous rate of change of a function depending on one of its variables. The most prominent example is velocity, which is the rate of change of displacement with respect to time. Differentiation is used to calculate the rate of change of values in real time. For example, if we want to find the velocity of an automobile, we may use differentiation.

Here,

if first derivative is < 0 then, the value is positive.

If an item moves according to a distance function, d(t), and d' (c) <0, we know that the "velocity is positive" at t = c.

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Answer:

Below

Step-by-step explanation:

Quarterly interest = .01 / 4 = .0025

periods = 4 x 3 yrs = 12

FV = 56500(1 + .0025)^12 = $ 58218 . 50

The linear function represents the total cost is y = 15 + 35x and the money made by 8 lawns will be $295.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

For x number of lawn mows,

Total earning y = 15 + 35x

For x = 8

y = 15 + 35 x 8 = 295

Hence "The linear function represents the total cost is y = 15 + 35x and the money made by 8 lawns will be $295".

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The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = [tex]\frac{n!}{(n-x)!x!} p^xq^{(n-x)}[/tex]

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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Answer:

Step-by-step explanation:

ccccccccccccccccccccccccccccccccccccccccccccccccccc.cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Answer: $1632 is his total annual premium for health insurance

Step-by-step explanation:

85*.60=$51

His employer pays $51 per month

you would multiply 51 by 12 to get the employers amount and them multiply 85 by twelve then you would add the two to get the total which should be his annual premium amount

$51*12 months=612

$85*12=1020

1020+612=1632

At least one patient will arrive in the following 15 minutes if the next patient arrives before 11:45 a.m.= ​∗e −1.5 ≈0.777.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our question-

I If X indicates the number of patients who arrived in 1.5 hours at random, then X = Pois(6*1.5) = Pois (9)

P(X=7)=frac 9/7/7!e-9/approximately 0.17P(X=7)= 7! 9/7

​ \s ∗e \s−9 \s ≈0.117

(ii) If X indicates the number of patients who arrived in 15 minutes or less, then X = Pois(6*0.25) = Pois (1.5)

At least one patient will arrive in the following 15 minutes if the next patient arrives before 11:45 a.m.

P(X≥1)=1-P(X<1)

=1-P(X=0)

=1-frac 1.5 0 0!*e 1.5 Approximately 0.777P(X1)

=1−P(X<1)

=1−P(X=0)=1− \s0! \s1.5 \s0

​ \s ∗e \s−1.5 \s ≈0.777

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Answer: $164

Step-by-step explanation:

25*7=175

175+12.5

226.50-187.50

5*25=125+39

Jones family payed $164

Rev is seeking independent contractors with extensive experience in audio transcription and translation. After the projects are finished, they frequently grade the work of the employees. One needs to be quick on the keyboard, attentive, comprehend appropriate punctuation, have a solid command of language and spelling, be able to pick up the format of the transcription, and be a critical thinker in order to work with them on a consistent basis. These are the characteristics Rev is seeking for in a freelancer.

Rev.com generally serves as a liaison between businesses and freelancers. One of the jobs that may be done from home carefully screens all of its applicants. The business ensures that they only employ the best individuals for their workforce. It strives to provide independent contractors with a setting where they may develop and display their talents. They can socialize with other independent contractors as a result.

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The Missing number for each fraction is ---

a) 3/7 = 12/28

b)5/8 = 25/40

c)3/4 =12/16

d)7/3 = 14/6

Fraction:

A fraction (from Latin: fracturs, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples {1}/{2}} and ) consists of a numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

Given that

a) [tex]\frac{3}{7}[/tex] = 12/_

  let x

3/7 = 12/x

3x = 84

x = 28

3/7 = 12/28

b) x/8 = 25/40

40x = 200

x = 5

5/8 = 25/40

c)3/4 = x/16

4x =48

x =12

3/4 =12/16

d)7/x = 14/6

42 = 14x

x = 3

7/3 = 14/6

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(a) The probability that there are no clients in the system is 0.3333

(b) The average number of customers waiting is 1.33

(c) The average number of customers in the system is 2

(d) The average time a customer spends waiting is 3.33 min

(e) The average time a customer spends in the system is 5 min

(f) The probability that arriving customers will have to wait for service is 0.6667.

Given that,

Customers of Willow Brook National Bank can conduct financial transactions at a drive-up teller window without getting out of their cars. On weekday mornings, the drive-up teller window receives 24 customers each hour, or 0.4 customers per minute, arriving at random.

Arrival rate λ = 24 customers per hour or 0.4 customers per minute

Service rate  μ​ = 36 customers per hour or 0.6 customers per minute

Utilizing the single-server drive-up bank teller operation previously mentioned, establish the following system operational characteristics:

(a) The probability that there are no clients in the system is

P₀ = 1 - λ /μ

= 1 - (24/36)

= 1/3

= 0.3333

(b) The average number of customers waiting

Lq = λ²/ [μ(μ - λ)]

= 242/[36×(36-24)]

= 1.33

(c) the average clientele using the system.

L = Lq + λ/μ  

= 1.33 + (24/36)

= 2

(d)the average length of time a consumer must wait.

Wq = λ/ [μ(μ - λ)]

= 24/[36×(36-24)]

= 0.0555 hr

= 3.33 min

(e) The average time a customer spends in the system

W = Wq + 1/μΧ

= 0.0555 + (1/36)

= 0.0833 hr

= 5 min

(f) the probability that clients who arrive will have to wait for service.

= 1 - P₀

= 1 - 0.3333

= 0.6667

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