When 17900 is correctly written in scientific notation, it will be
1.7900 · 10 x
What number goes in place of the X in the above statement? ?

Part A - 25 tickets sold, and the product of the price per ticket and the number of tickets sold should give the total amount raised.

Part B - The price of each floor seat ticket is 37.23.

Part A: Let x be the price of each floor seat ticket. Since the theater company sold 25 tickets and raised 930.75, we can create the equation:

25x = 930.75

We use 25x because there were 25 tickets sold, and the product of the price per ticket and the number of tickets sold should give the total amount raised.

Part B: To solve for x, we can divide both sides of the equation by 25:

25x/25 = 930.75/25

x = 37.23

Therefore, the price of each floor seat ticket is 37.23.

We can check that our solution is correct by substituting x=37.23 back into the original equation:

25(37.23) = 930.75

This equation is true, which confirms that our solution is correct.

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By using the formula for sample size, it can be calculated that the sample size is 62

What is sample?

At first it is important to know about population.

Population is the group of items from where samples are taken for study and research and for statistical purpose

A subset of population is called sample.

Here, margin of error E = 2

Value of z for 95 % confidence interval = 1.96

Standard deviation = 8

Sample size  = \((\frac{1.96 \times 8}{2})^2\) \(\sim\) 62

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The probability that:

A student has a cat and they do not have a dog = 1/8 or 0.125.

Use the concept of probability defined as:

Probability is the ratio of:

The number of favorable outcomes to the total number of outcomes for an event's taking place.

Given that,

The number of students in the class = 25

\(5\) students have a cat.

\(9\) students have a dog.

\(3\) students have both a cat and a dog.

The objective is to find the probability that given that they don't have a dog, a student has a cat.

To find the probability that one of the pupils has a cat because there isn't a dog in the class:

First, determine the total number of pupils without a dog..

Since there are 25 students in total and 9 have a dog,

Now, 25 - 9 = 16

So the number of students who do not have a dog = 16

Now, determine the number of students who have both a cat and a dog.

According to the question:

There are 3 students who have both,

Subtract this from the percentage of students who own cats.

Therefore,

5 - 3 = 2

So, there are 2 students who have a cat but not a dog.

\(Probability = \frac{\text{(Number of students with only a cat)}}{\text{ (Number of students who do not have a dog)}}\)

Probability = 2 / 16

Probability = 1 / 8

Hence,

The required probability that a student has a cat given that they do not have a dog = 1/8 or 0.125.

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A combination of two or more simple statements is a compound statement. The connectives generally used in mathematics are ‘and’, ‘or’, ‘if ’, ‘if and only if’.

In mathematics, like in any language, compound statements are created by combining simpler ones using connectives. The truth value of a compound statement is determined by the truth value of its smaller components.

There are four compound statements:

1. ¬p , Not p (i.e. the negation of p)  : Negation

2. p ∧ q, p and q                                : Conjunction

3. p ∨ q, p or q                                   : Disjunction

4. p → q, If p then q                            : Conditional

Beginning with the premise that P (the hypothesis) is true, we create a chain of implications, each of which has previously been proven to be true, ultimately leading to Q. (the conclusion). Imagine the chain has six consequences. As a result, the direct proof technique may be expressed combination as follows:

        P, P ⇒ P1, P1 ⇒ P2, P2 ⇒ P3, P3 ⇒ Q1, Q1 ⇒ Q2, Q2 ⇒ Q.

If P and the implications in the previous chain are all true, we must derive that Q is likewise true logically. But, according to the truth table for          P ⇒ Q, knowing that P ⇒ Q is a true statement does not indicate that P or Q are true, just that the inference is true. Recall that P can be false, Q can be true or false, and the inference might be true or false.

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Question: What are Compound Statements? Write proof and logic for the statements.

Answer:

3x

Step-by-step explanation:

√9x²

√3²x²

√3²√x²

3x

hope it helps

Therefore surface area of given is 331.63square yards.

A cuboid's total surface area is equal to the sum of all of its faces' surface areas. Given that a cuboid has six faces, the formula for its total surface area is as follows:

Cuboid's total surface area is equal to 2(lb + bh + hl).

where the cuboid's length (l), width (b), and height (h) are all integers.

Surface area of the given picture  =  Total surface area of cuboid - Curved surface area of base of hemisphere + curved surface area of hemisphere

=  2(lb+bh+hl) - πr²+ 2πr²

=  2(lb+bh+hl) + πr²

=  2 (36+60+60) + 3.14(2.5)²

=  2 (36+60+60) + 3.14(2.5)²

=  312 + 19.625

=  331.63 square yards.

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After using mental math to find how much he spent in all, we have come to find that total cost of notebook, pencils and eraser is $7.79

A set of abilities known as mental math enable people to perform calculations "in their heads" without the aid of paper and pencil or a calculator. Recalling math facts, such as 8 x 5 = 40, is one of these abilities. Rounding numbers and estimating calculations are additional abilities.

It is the process of performing mathematical calculations and problem-solving without the need for a lengthy physical process or a formal written process. Children will learn to perform mental addition, subtraction, and other calculations that call for the use of all four operations as well as particular methods.

Students will be able to solve a variety of problems without having to memorize equation solutions, pull out a calculator, or use a pen and paper for their calculations thanks to these mental techniques.

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Answer: $7.79

Step-by-step explanation:

Answer:

19!!!

Step-by-step explanation:

4th row-15 people

5th - 17

6th - 19

{the series goes in form of odd numbers from 9 adding two as row number increases}

Answer:

19

Step-by-step explanation:

(4) 15 people

(5) 17 people

(6) 19 people

add 2 in each line

Answer:

A quadrilateral is a rectangle

Answer:

2c-3y-4=0

Step-by-step explanation:

Standard form is when the answer is equal to zero.

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

Irrational numbers are a subset of real numbers that are not rational numbers, rational numbers comprises integers and non-integers. In this case, square roots are one of the most known cases of irrational numbers.   Now we proceed to check if each choice represents indeed an irrational number by algebraic handling:

Case A

√4 + √16 = 2 + 4 = 6

Case B

√5 + √36 = √5 + 6

Case C

√9 + √24 = 3 + √(6 × 4) = 3 + 2√6

Case D

2√4 = 2 × 2 = 4

Case E

√49 × √81 = 7 × 9 = 63

Case F

3√12 = 3√(3 × 4) = 6√3

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

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Answer:

4:30

Step-by-step explanation: if she arrives one fourth hour later its......

When Winona leaves her home at 4:15 and arrives at the theatre after one-fourth hour i.e. 15 minutes so the time when she arrived is 4:30.

Since at the time when Winona leaves her home at 4:15 and arrives at the theatre after 15 minutes

So, she arrived at the time

= 4: 15 +  15 minutes

= 4:30

Hence, When Winona leaves her home at 4:15 and arrives at the theatre after one-fourth hour i.e. 15 minutes so the time when she arrived is 4:30.

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Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

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Answer:

Question 1: -3

Question 2: 5

Step-by-step explanation:

Question 1's value decreses by 3 so the answer is -3 :)

Question 2's value increases by 5 so the answer is 5 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

jalen

Step-by-step explanation:

The correct answer is: A. The radius of convergence is finite and at least 4.

To find the minimum value for the radius of convergence of a power series solution, we need to consider the coefficients of the differential equation.

The given differential equation is:

(x^2 - 9x + 20)y" - 3xy' - y = 0

The coefficients of the differential equation are polynomial functions of x. In this case, the coefficients are:

a(x) = x^2 - 9x + 20

b(x) = -3x

c(x) = -1

To determine the minimum value for the radius of convergence, we need to find the point where the coefficient functions a(x), b(x), and c(x) have a singularity or a point where they become infinite.

Let's solve for the roots of a(x) = 0:

x^2 - 9x + 20 = 0

Using the quadratic formula, we find:

x = (9 ± √(9^2 - 4120))/(2*1)

Simplifying further, we get:

x = (9 ± √(81 - 80))/2

x = (9 ± 1)/2

So the roots of a(x) = 0 are x = 5 and x = 4.

The minimum value for the radius of convergence occurs at the closest singularity to the expansion point x = 0. In this case, the closest singularity is x = 4. Therefore, the minimum value for the radius of convergence is 4.

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Answer:

x=3

y=1

Step-by-step explanation:

We know that y is basically two less than x, so we can plug that into the second equation:

x+ (x-2) = 4

We can now simplify:

2x-2=4

2x=6

x=3

After finding x we can now find y with any equation (both work):

y= 3-2

y=1

Hope this helped!

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(  3 , 1 )

y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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The number of minutes she must run to reach her goal is 65.1 minutes.

The time she must run for is found by dividing the distance by the speed:

Time = Distance / Speed

We need to convert the distance from kilometers to miles before substituting values into the formula.

11.7 km = 11.7 / 1.609344 = 7.270043 miles

The formula now becomes:

Time = 7.270043 miles / 6.7 mi/h

Time = 1.085081 h

To get the time in minutes, we need to convert the time in hours to minutes. There are 60 minutes in an hour, so there are

Time = 1.085081 h x (60 minutes/1 hour)

Time = 65.104863 minutes = 65.1 minutes

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Answer:

4.3

Step-by-step explanation:

Answer:

y = 13/13

helpful??

Answer:

The monorail runs 18 hours runs every day.

Step-by-step explanation:

You know that the total number of riders the monorail carry each day is 92700 and the number of riders the monorail carry per hour is 5150.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

A direct proportionality relationship is established between two quantities if:

If the relationship between the magnitudes is direct the direct rule of three must be applied and to solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Being

\(x=\frac{c*b}{a}\)

In this case the rule of three can be applied in the following way: if the monorail carries 5,150 passengers in 1 hour, the monorail will transport 92,700 passengers in how many hours?

\(amount of hours=\frac{92,700 passengers*1hour}{5,150 passengers}\)

amount of hours= 18 hours

So the monorail runs 18 hours runs every day.

Answer:

7.5

Step-by-step explanation:

The height of the cylinder is equal to 7.5 meters.

Given that,
An oblique cylinder has a volume of 90π m ^3 and a base area of 12π m^2.

A cylinder is defined as it is geometric shape when a rectangle sheet fold into a circular shape the figure arises looks same as the tube structure.

Volume, is defined as the ratio of the mass of object to its density.

The volume of the oblique cylinder = height * base area

90π = 12π  * height
height = 7.5 m                                

Hence, the height of the cylinder is equal to 7.5 meters.

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The question seems to be incomplete or improperly written,
So Correct Question could be given as,

This oblique cylinder has a volume of 90π m ^3 and a base area of 12π m^2.

what is the height of the cylinder?

Answer:

5-(-7)

Step-by-step explanation:

It will be positive 12

Answer:

12

Step-by-step explanation:

5 - (-7)

5 + 7

12

Answer:

Option 2

Step-by-step explanation:

Step 1: Translate

"a number" = x

"product" means multiply

"-2/3" = -2/3

"is" means equal

"-9/10" = -9/10

Step 2: Set up equation

-2/3x = -9/10

Step 3: Solve for x

If you travel 2640 feet in 30 seconds in a 65 mi/h zone then the average speed is (b) less than speed limit .

The Distance travelled in 30 seconds is = 2640 feet ,

Average Speed can be calculated by formula; Speed = Distance / Time ,

So , the speed of the person in feet per second will be = 2640/30 ft/sec .

we know the conversion rate that 1 mile = 5280 feet and 1 hr = 3600 sec ,

So , On converting the speed to mi/hr ,

it can be written as = (2640 × 3600)/(5280 × 30)

= 60 mi/hr .

The Speed Limit is given as 65 mi/hr .

On comparing we get the average speed of the person is less than the speed limit .

Therefore , The Average Speed is Less than the Limit .

The given question is incomplete , the complete question is

You travel 2640 feet in thirty seconds while in a 65 mi/h zone. (There are 5280 ft in one mi). Your average speed is:

(a) exactly the speed limit.

(b) less than the speed limit.

(c) larger than the speed limit.

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Your average speed is 98.667 miles per hour, which is calculated by taking the distance traveled (2640 feet) and dividing it by the time taken (thirty seconds) multiplied by the speed limit (65 mi/h). This is based on the fact that there are 5280 feet in one mile.

Step 1: Convert 2640 feet to miles.

1 mile = 5280 feet

2640 feet / 5280 feet = 0.5 miles

Step 2: Calculate speed.

Speed = Distance / Time

Speed = 0.5 miles / (30 seconds/60 seconds)

Speed = 0.5 miles / 0.5 minutes

Speed = 1 mile / 0.5 minutes

Speed = 2 miles/minute

Speed = 2 miles/minute * 60 minutes/hour

Speed = 120 miles/hour

Speed = 120 miles/hour * 65 mi/h

Speed = 78 miles/hour

Speed = 98.667 miles/hour

The average speed is calculated by dividing the distance traveled (2640 feet) by the time taken (thirty seconds) and then multiplying it by the speed limit (65 mi/h). This is based on the fact that there are 5280 feet in one mile. First, the distance (2640 feet) was converted to miles (0.5 miles). Then, the speed (0.5 miles/30 seconds) was calculated, which was then multiplied by the speed limit (65 mi/h) to get the final result of 98.667 miles/hour.

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Answer:

x = 80%

Step-by-step explanation:

Let the initial value be y

it rose by x%

That will be;

y + x/100 * y

= y + xy/100

Now, it fell by x%

That would give;

(y + xy/100)- (x/100(y + xy/100)) to give a total fallout of = y-0.64y = 0.36y

y + xy/100 - xy/100 - x^2y/10,000 = 0.36y

y - x^2y/10,000 = 0.36y

Cut out all y

1-x^2/10,000 = 0.36

Multiply through by 10,000

10,000 - x^2 = 3600

x^2 = 10,000-3600

x^2 = 6400

x = √6400

x = 80

Answer:

Step-by-step explanation:

Given the sample space

3 cherries

2 grapes

The sample size S = {3+2}= 5

For for the first selection

The probability of picking a grape  \(Pr(grape)=\frac{2}{5}\)

Since the second selection is without replacement the sample size is now 4

The probability of picking a cherry \(Pr(cherry)= \frac{3}{4}\)

The probability that her brother gets a grape treat and she gets a cherry treat = \(\frac{2}{5} *\frac{3}{4}= \frac{6}{20}=\frac{3}{10}\)