Rose, Bill, Jean, and Candice each received different seat numbers to watch the performance. The seat numbers were either 53, 64, 108, or 216. Candice
received the only seat number with a factor of 16. Bill received the seat number that is the greatest multiple of 8 from the group of seats. Rose received the
only seat number that is a prime number. Which seat number did Jean receive?
A .Jean received seat number 53.
B .Jean received seat number 64.
C .Jean received seat number 108.
D .Jean received seat number 216.

The number of students those who will most likely have their preference  to do their classwork online is 238 out of 350

According to the question statement, A teacher surveys a random group of students about their preference for doing classwork online or on paper.

17 Preferred Online and 8 Preferred on paper.

We are supposed to find the number of students who will most likely have their preference to do their classwork online.

We will be using the concept of Probability for solving this.

[tex]Probability(Event)=\frac{Favourable Outcomes}{Total Outcomes}[/tex]

Probability(Event) = Favorable Outcomes/Total Outcomes

For the survey probability of students preferring online mode of classwork is = [tex]\frac{17}{17+8} =\frac{17}{25}[/tex]

                     = [tex]0.68[/tex]

Now if we consider a group of 350 students and probability of students preferring online mode of classwork as 0.68

Let the number students preferring online mode of classwork be "x"

so  [tex]\frac{x}{350} =0.68[/tex]

or  [tex]x=0.68*350\\x =238[/tex]

Therefore, the number of students those who will most likely have their preference  to do their classwork online is 238 out of 350

where P(A) is the probability of an event “A”,  n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.

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The required probability that a patient had surgery and experienced a major improvement 31% and that a patient received nonsurgical treatment 14.5%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Number of patients who got surgery  = 398,
63% of  percent said they had a major improvement in their condition,
= 0.63 * 398 ≈ 250
29% among those who received nonsurgical treatment,
= 0.29 * (803 - 398)
= 0.29 * 405
≈ 117

Now,
The probability that a patient had surgery and experienced a major improvement in his or her condition.
= 250 / 803
= 31%

The probability that a patient received nonsurgical treatment and experienced an improvement in his or her condition.
= 117 / 803
= 14.5%

Thus, the required probability is 31% and 14.5%.

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Step-by-step explanation:

y³ + 5y

2³ + 5 × 2

8 + 10

18...

Hi!

[tex]\diamondsuit[/tex] Plug in 2 for y:

[tex]\boldsymbol{2^3+5(2)}[/tex]

[tex]\diamondsuit[/tex] Cube 2 first:

[tex]\boldsymbol{8+5(2)}[/tex]

[tex]\diamondsuit[/tex]  Multiply 5 times 2 next:

[tex]\boldsymbol{8+10}[/tex]

[tex]\diamondsuit[/tex] Add.

[tex]\boldsymbol{18}[/tex]

Therefore,

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{Answer:~~18}}}}[/tex]

I hope I helped, have an amazing rest of your day!

If you need any explanation or clarification - comment! :)

Answer:

$64,286.51

Step-by-step explanation:

This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers. In this case, you have the total number of employees and the total salary.

39,086,197.48 ÷ 608 = 64286.5090132

You would then round up.

Answer:

.

.

mark me as a brainliest

Answer:

8:10, 12:15

Step-by-step explanation:

The probability that the sum of the two rolls equals 5 is 1/16.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given a single die with 8 sides (numbered 1, 2, 3, ..., 8) is rolled twice, the total outcome will be:

Total outcome = 8^2

Total outcome = 64

For the sum of two rolls, the expected outcome will be:

E = {(1, 4), (4, 1), (3, 2), (2, 3)}

n(E) = 4

Pr(sum of the two rolls is 5) = 4/64

Pr(sum of the two rolls is 5) = 1/16

Hence the probability that the sum of the two rolls equals 5 is 1/16

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Answer:

320

Step-by-step explanation:

Plug the 4 into x and go from left to right:

4 times 4 is 16 times 20 is 320

Answer:

8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents

Step-by-step explanation:

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

[tex]H _{0} : p = 0[/tex]

When correlation is non-zero,

[tex]H _{ \alpha } : p ≠0[/tex]

The test statistic is,

[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]

[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]

[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]

= -2.093

The test statistic is -2.093.

The correlation is,

[tex]H _{ \alpha } : - 2.93 ≠0[/tex]

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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Answer:

18 hours.

Step-by-step explanation:

Subtract $65 from the total.

263 - 65 = 198

Divide by 11.

198 ÷ 11 = 18

Answer:

18 hours

Step-by-step explanation:

$263-$65=$198

$198÷$11=18 hours

Answer: 27.3861278753

Step-by-step explanation:

√750 = 27.3861278753

Answer:

14

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a

- (- ) = + given

| - 5 | - (- 9)

= 5 + 9

= 14

Answer:

14

Step-by-step explanation:

Be extremely careful with absolute values, parentheses, and subtraction.

[tex]\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14[/tex]

Answer:

Every positive rational number has a square root.

Step-by-step explanation:

this is not true because there are prime numbers

The equation of the line is x = 25, in accordance with the given conditions.

Given:

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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from what I read, the roads look like the picture below.

first off, we'd want to know the distance in "red", well, using the pythagorean theorem, that'd be √(127² + 47² ), which gives us around 135.4 miles.

now, the larger triangle containing the "red" line and the smaller triangle on the left-side containing the "green" line, are similar triangles by AA, so we can use proportions to get the distance from Appletown to "park and ride", because that is the distance that Irving is going to be covering at 45 mph, so that'd be like

[tex]\cfrac{135.4}{127}~~ \approx ~~\cfrac{\textit{park and ride}}{94}\implies \cfrac{135.4\times 94}{127}\approx\textit{park and ride}\implies 100.2\approx\stackrel{park~\&}{ride}[/tex]

now, we know that Irving is going to be covering that distance at 45 mph, so

[tex]\begin{array}{ccll} miles&hour\\ \cline{1-2} 45&1\\ 100.2&h \end{array}\implies \cfrac{45}{100}\approx\cfrac{1}{h}\implies h\approx\cfrac{100}{45}\implies h\approx 2.22[/tex]

without boring you to death, that's about 2 hours and 13 minutes.

well, that means Irving, taking off at 8am, is going to arrive at "park and ride" at 10:13am roughly.

now, we know Carol is taking off at 9am, an hour later than Irving, and she'll be traveling the "green" distance up to the junction, well, we know her distance is 42 miles plus some change, let's use proportions to get the change.

[tex]\cfrac{47}{127}=\cfrac{change}{94}\implies \cfrac{47\cdot 94}{127}=change\implies 34.8\approx change[/tex]

so for Carol to get to "park and ride" she'll be covering about 42 + 34.8 miles, and she needs to get there by 10:13am, that is, 1.22 of an hour later so she can get there at the same time Irving does.

so she needs to cover roughly 76.8 miles in 1.22 hours, let's do the fraction for that in miles over hours.

[tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95[/tex]  due to rounding we get 0.95, but should be 0.94 if we adjust the rounding, but roughly [tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95~\frac{miles}{hour}[/tex]

Answer:

Step-by-step explanation: i bet your ray r stands for g

Answer: The name of the algebraic expression is polynomial.

Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .

A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.

similarly;

algebraic expression which is having only one term is known as a monomial. example: 5x,10y.

an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.

example: 8x³y - 11x²y² + xy³ +17.

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Answer:

Step-by-step explanation:  algebric expression of degree4.

Answer:

-207

Step-by-step explanation:

t/23 = -9

Multiply both sides by 23 to cancel out the denominator.

23 * (t/23) = (-9) * 23

t = -207

Answer: $16.67

Step-by-step explanation:

8% of $48 = 16.67

The first one would be $ 3.59

Explanation-  15% of 23.95 = 3.5925

Rounded off to max. 2 decimal places:

Percentage of

15% of 23.95 ≈ 3.59

Answer:

5:45

...................................

Answer:

the time is 5:45 PM according to that watch

Answer:

the answer seems right to me

Answer:

90/49

Step-by-step explanation:

you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer

Answer:

2.5

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation:

Negative times negative equals positive

2 * 1.25 =  2 * 1 + .25 * 2 = 2.5

Answer:

Step-by-step explanation:

That expression can be written as:

Hope it helped,

Answer:

Step-by-step explanation:

The slope of the line that passes through the given points (2, 12) and (6, 11) is -1/4.

The pizza parlor is technically efficient, but its not allocatively or economically efficient because technically efficient if all supply is used, allocate is if desired demand is met.

Technical efficiency is related to how productive a company can be given this same fewest inputs, as well as resources, required to complete a task.

The concept of economic efficiency is related but distinct. Technical efficiency seeks to minimize inputs, whereas economic efficiency seeks to minimize costs, that might or might not necessitate fewer inputs.

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The complete question is;

A pizza parlor can make 100 pizzas in an evening. They make 40 pepperoni pizzas and 60 extra cheese pizzas. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. This pizza parlor is what?

Technically efficient

allocatively efficient

economically efficient

The volume of the box in terms of x will be :   [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]

We know, Total surface area of a cuboid is: 2(l*b + b*h + h*l)

and it is given that TSA is 100cm^2, the length of the base which is in a square shape is x. So, length l = breadth b = x, and taking height h = y

We need to find out the value of y for finding out the volume of the box.

Putting these values in the formula for TSA,

             => 2(x*x + x*y + x*y) = 100

             => 2(x^2 + 2xy) = 100    =>  y = (50-x^2)/2x

Put this value of y in the formula for volume.

The volume of Cuboid is : l*b*h

            =>  x*x*{(50-x^2)/2}       =>  x^2{(50-x^2)/2x}

             =>   (50x - x^3)/2

Hence, the volume for the box is   [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]

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The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and  C(x) = 1200 + 14.75(x - 40), where x > 40

The given parameters are:

Reserve = $500

Cost per guest = $17.50 for the first 40 guests

Cost per guest = $14.75 for each additional guest

The above means that

C(x) = 500 + 17.5x, where x <= 40

C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40

Next, we evaluate the functions

This gives

C(x) = 500 + 17.5x, where x <= 40

C(x) = 1200 + 14.75(x - 40), where x > 40

To do this, we simply plot each function with its domain

See attachment for the graph of the piecewise functions

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