There are 168 prime numbers between 1 to 1000. If we were to select numbers at random until a prime number is selected, what is the expected number of times we have to select?

Answer: A

Step-by-step explanation:

Answer:

2.5%

Step-by-step explanation:

Please mark Brainliest when able.

Answer:

The answer would be D

Step-by-step explanation:

I know it :)

Option D is correct. Boys like rock music more than girls like rap music.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The purpose of a bar graph is to convey relational information quickly in a visual manner.

Parker conducted a random survey at the mall to determine the number of songs in each genre that were downloaded by 40 students.

From the given graph there are three kind of musics.

Country music, Rap genre and Rock music.

The graph is represents by number of songs to genre of music.

From the observation of bar graph we can say that Boys like rock music more than girls like rap music.

Hence, option D is correct. Boys like rock music more than girls like rap music.

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Answer:

\(x=\displaystyle\frac{3\pm\sqrt{569}}{4}\)

Step-by-step explanation:

Hi there!

\(f(x) = -2x(x+7)+10x+70\\f(x) = -2x^2-7x+10x+70\\f(x) = -2x^2+3x+70\)

We can solve this by using the quadratic formula, which states:

\(x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac}}{2a}\) where \(f(x)=ax^2+bx+c\)

Plug in the values a, b and c:

\(x=\displaystyle\frac{-3\pm\sqrt{3^2-4(-2)(70)}}{2(-2)}\\\\x=\displaystyle\frac{-3\pm\sqrt{9+560}}{-4}\\\\x=\displaystyle\frac{-3\pm\sqrt{569}}{-4}\\\\x=\displaystyle\frac{3\pm\sqrt{569}}{4}\)

I hope this helps!

Miami receives exactly 55 9/10 inches of rainfall.

The combined rainfall of San Francisco and Seattle is exactly 57 7/20 inches.

City | Annual Rainfall

Miami | 55 whole number 9/10

The rainfall for Miami is 55 whole number 9/10 inches. Converting this to a mixed number:

55 + 9/10 = 55 9/10 inches

So, Miami receives exactly 55 9/10 inches of rainfall.

To find the exact combined rainfall of San Francisco and Seattle, we can refer to the given table:

City | Annual Rainfall

San Francisco | 20 whole number 3/20

Seattle | 37 whole number 1/5

The rainfall for San Francisco is 20 whole number 3/20 inches. Converting this to a mixed number:

20 + 3/20 = 20 3/20 inches

The rainfall for Seattle is 37 whole number 1/5 inches. Converting this to a mixed number:

37 + 1/5 = 37 1/5 inches

To find the combined rainfall of San Francisco and Seattle, we add their rainfall amounts. First, let's find a common denominator for the fractions, which is 20 in this case.

20 3/20 inches + 37 1/5 inches = 20 3/20 inches + 37 4/20 inches

Now, we can add the mixed numbers:

(20 + 37) + (3/20 + 4/20) = 57 + 7/20

So, the combined rainfall of San Francisco and Seattle is exactly 57 7/20 inches.

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Answer:

slope is -2 and the y-intercept is 12

Step-by-step explanation:

a key thing to remember: x is always equal to 0 when finding the y-intercept.

so if you look at the table for where 0 is, you get the point (0,12) meaning the y-intercept is 12.

to find the slope use the equation: slope= change in y/change in x

you can use any two points to find this.

lets take the points of the x-intercept (6,0) and the y-intercept (0,12)

12-0/0-6

12/-6

-2 = slope

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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Answer:

(-1,1)

Step-by-step explanation:

See attached worksheet.

Therefore, the limit of the function f(x, y) is indeterminate at (0, 0).Hence, the required statement is true.

Given the function f(x, y) = x² + y² / (x + y)².To prove that the limit of this function is indeterminate at (0, 0), we need to show that the left-hand limit is not equal to the right-hand limit as the point (0, 0) is approached from any direction in the xy-plane.

To show this, we consider the limit of f(x, y) as (x, y) approaches (0, 0) along the line x = ky, where k is a constant.

We have f(x, y) = (ky)² + y² / [(ky) + y]² = [k² + 1]y² / (ky + y)² = [k² + 1] / (k + 1)² as y approaches 0.

So, the limit as (x, y) approaches (0, 0) along x = ky is the constant [k² + 1] / (k + 1)².

This means that the left-hand limit and the right-hand limit of f(x, y) as (x, y) approaches (0, 0) cannot be equal for all values of k.Therefore, the limit of the function f(x, y) is indeterminate at (0, 0).Hence, the required statement is true.

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Answer:

401 people

Step-by-step explanation:

First, find the percentage of students that went to the Youth Wing on Saturday, this is 463/463+474+335

464/1272

=36.4779874%

Multiply it now by the Sunday visitors, 0.364779874 x 1100

= 401.2578616

=401 people

Answer: 400

Step-by-step explanation:

Answer:

y = 2x + 3

Step-by-step explanation:

The gradient (2x) is the same since the lines are parallel

The y-intercept(+3) is different however, since this line passes through co-ordinate (-1,3) It is +3 because in a co-ordinate the x and y co-ordinate is in this order (x,y). Therefore, the y number represents which y co-ordinate the line passed through the y axis.

Answer:

No

Step-by-step explanation:

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Answer:

4.21

Step-by-step explanation:

cause you have to add the number together and see what you get

Let's check the value

It remains same

Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Answer:

B

Step-by-step explanation:

When x=1, we will use the second equation

-(1)+1 = 0

If the plane is flying at an altitude of 21,000 feet, it is perpendicular to the observer's horizontal line of sight. Thus, I concluded that the given information be assigned to the attachment below.

Given -

( Observer at point O, plane flying at point P

( Plane at 55° angle to horizontal line of sight, altitude of 21,000 feet

The distance ( x ), is represented by the line segment OP, with which we have to determine the length of. Therefore we can conclude the following -

\(Sin( 55 ) = Altitude / Distance,\\Sin( 55 ) = 21,000 / x,\\----------------\\x = \frac{21,000}{Sin( 55 )},\\x = 21,000 / 0.81915204428\\\\x = ( About ) 25636 feet\\\)

As you can see, the distance from the plane to the observer is about 25,636 ft!

Answer:

25,636 feet

Step-by-step explanation:

I took the test on FLVS and got 100%

Answer:

x = 2 or x = -4

Step-by-step explanation:

-5|x + 1| + 3 = -12

Add -3 to both sides.

-5|x + 1| = -15

Divide 5 into both sides.

|x+1| = 3

Possibility 1:

x + 1=3

x = 2

Possibility 2:

x + 1 = - 3

x = -4

Answer:

Step-by-step explanation:

This is our absolute value equation for which we want the values of x that make it true:

-5 | x + 1 | + 3 = -12. Subtracting 3 from both sides gives us

-5 | x + 1 | = = -15. Divide both sides by -5 to get

| x + 1 | = 3

This says, in words, "how many units from 3 is -1 on a number line?"

We have the following 2 equations:

x + 1 = 3 and x + 1 = -3

Solving the first one for x:

x = 2

Solving the second one for x:

x = -4

Both 2 and -4 are 3 units from -1 on a number line.

Answer:

d. $34.94

Step-by-step explanation:

the monthly finance charge = (24 * 145.59) /100 = $34.94

Answer:

X? or  question???????

Step-by-step explanation:

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

y=1/3+2/3, Hope I helped :)

The correct option for p-tilde calculation is option c. (7+1)/(25+2)=.296.

The calculation of p-tilde, the initial estimate for the proportion of cars with mpg of 100 or more, is as follows:

We are given three options for the calculation of p-tilde as:

a. 7/25=0.28

b. (7+2)/(25+4)=.310

c. (7+1)/(25+2)=.296

We are supposed to choose the correct one among these.

Let's consider each option one by one:

a. 7/25=0.28

This option is calculating the proportion of cars with mpg of 100 or more by dividing the number of cars with mpg of 100 or more (which is 7) by the total number of cars (which is 25). So, the proportion is:

7/25=0.28

This is one of the options for p-tilde calculation.

b. (7+2)/(25+4)=.310

This option is calculating the proportion of cars with mpg of 100 or more by adding a prior count of 2 cars with mpg of 100 or more and 4 cars without it. So, the prior proportion is:

2/6 = 0.33

Now, the proportion of cars with mpg of 100 or more is calculated by adding the number of cars with mpg of 100 or more (which is 7) and the prior count (which is 2) and dividing by the total number of cars and the prior count (which is 25+4=29). So, the proportion is:

(7+2)/(25+4)=.310

This is the second option for p-tilde calculation.

c. (7+1)/(25+2)=.296

This option is calculating the proportion of cars with mpg of 100 or more by adding a prior count of 1 car with mpg of 100 or more and 2 cars without it. So, the prior proportion is:

1/3 = 0.33

Now, the proportion of cars with mpg of 100 or more is calculated by adding the number of cars with mpg of 100 or more (which is 7) and the prior count (which is 1) and dividing by the total number of cars and the prior count (which is 25+2=27). So, the proportion is:

(7+1)/(25+2)=.296

This is the third option for p-tilde calculation.

Therefore, the correct option for p-tilde calculation is option c. (7+1)/(25+2)=.296.

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Answer:

3.54x10^1

Step-by-step explanation:

The mass of salt in the tank at time t.

dS/dt = 10 - S/400

S(0) = 100 grams

The solution is S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

A tank holds water V(0) = 4000 liters in which salt S(0) = 100 grams.

So dS/dt = S(in) - S(out)

S(in) = 1 × 10 = 10 gram/liters

S(out) = S/V × 10 = 10S/V gram/liters

V = V(0) + q(in) - q(out)

V = 4000 + 10t - 10t

V = 4000 liters

dS/dt = 10 - 10S/V

dS/dt = 10 - 10S/4000

dS/dt = 10 - S/400

Now given; S(0) = 100.

Here, p(t) = 1/400, q(t) = 10

\(\int p(t)dt = \int\frac{1}{400}dt\)\(\int p(t)dt = \frac{1}{400}t\)

\(\mu=e^{\int p(t)dt}\)

\(\mu=e^{\frac{t}{400}}\)

So, S(t) = \(\frac{\int\mu q(t)dt+C}{\mu}\)

S(t) = \(\frac{\int e^{\frac{t}{400}} \cdot10dt+C}{e^{\frac{t}{400}}}\)

S(t) = \(e^{\frac{-t}{400}} \left({\int e^{\frac{t}{400}} \cdot10dt+C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({10\times\frac{e^{\frac{t}{400}}}{1/400} +C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({4000\times{e^{\frac{t}{400}} +C}\right)\)

Now solving the bracket

S(t) = 4000 + \(e^{\frac{-t}{400}}\)C.....(1)

At S(0) = 100

100 = 4000 + \(e^{\frac{-0}{400}}\) C

100 = 4000 + \(e^{0}\) C

100 = 4000 + C

Subtract 4000 on both side, we get

C = -3900

Now S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

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The complete question is:

A tank holds 4000 liters of water in which 100 grams of salt have been dissolved. Saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for:

The mass of salt in the tank at time t.

dS/dt =

S(0) =

The solution is S(t) =

Answer:

-27x - 41

Step-by-step explanation:

Answer attached

Hope it helps:)

Answer: the opposite of 45 is......-45????

Step-by-step explanation: um your question is a little unclear, but the opposite of 45 is -45.

Answer:

the opposite of a number is just that number with a negative sign because it is flipped to the other side of zero

Step-by-step explanation:

i think that's what u wanted but the question was kind of unclear

The greatest possible speed that Oleg could have bicycled that day is 13 miles per hour.

Let's call the total distance that Oleg jogged z. Then z = 2x.

The total distance that Oleg bicycled was 30 - z - 2. Let's call this distance w. Then w = 30 - 2x - 2.

Since Oleg bicycled for 2 hours, the speed that he bicycled was w / 2. So, w / 2 = y.

Substituting the expressions for z and w, we have:

y = (30 - 2x - 2) / 2.

Since y must be the greatest possible speed that Oleg could have bicycled that day, x must be the smallest possible value.

Since Oleg jogged for 2 hours, the minimum value of x is 2 / 2 = 1.

Substituting x = 1 into the expression for y, we have:

y = (30 - 2 * 1 - 2) / 2 = (26) / 2 = 13.

So, the greatest possible speed that Oleg could have bicycled that day is 13 miles per hour.

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Answer:

$207

Step-by-step explanation:

We do 1242 / 6 = 207

It costs $207 for each family member.

Answer:

207 each

Step-by-step explanation:

Take the total cost and divide by the number of family members

1242 / 6

207 each