An author wants to write at least 100 pages of a book in a month. He already has 25 pages of the book written and there are 15 days left in the month. The inequality 15x+25≥100 represents this situation, where x represents the number of pages that the author should write in a day. Solve this inequality for x. Graph the solution set on the number line below. Identify one value that is in the solution set of the inequality.

The probability that the winning three numbers match the date on any given​ day is the likelihood of the winning number

Start by calculating the number of possible outcomes

Each of the three digits can take any of 0 - 9 i.e. 10 digits.

So, the number of possible outcomes is:

[tex]n =10^3[/tex]

[tex]n =1000[/tex]

There can be only one winning date.

So, the probability (p) is:

[tex]p = \frac 1n[/tex]

This gives

[tex]p = \frac 1{1000}[/tex]

[tex]p = 0.001[/tex]

Hence, the probability that the winning three numbers match the date on any given​ day is 0.001

In a calendar year, there are 65 days, where the whole year passes without matching the winning numbers.

The dates are:

This means that the matching numbers can occur on the remaining 300 days.

The probability that the winning date does not occur on a date is calculated using the following complement rule

[tex]p' = 1 - p[/tex]

So, we have:

[tex]p' = 1 - 0.001[/tex]

[tex]p' = 0.999[/tex]

For the 300 days, we have:

[tex]p = 0.999^{300}[/tex]

[tex]p = 0.7407[/tex]

Hence, the probability that a whole year passes without this​ happening is 0.7407

This is calculated using the following complement rule

[tex]p' = 1 - p[/tex]

So, we have:

[tex]p' = 1 - 0.7407[/tex]

[tex]p' = 0.2593[/tex]

Hence, the probability that the date and winning lottery number match at least once during any​ year is 0.2593

In (b), we have:

[tex]p' = 0.999[/tex]

So, the probability is calculated as:

[tex]p =1 - (p')^n[/tex]

Where n is the number of states i.e. n = 27.

So, we have:

[tex]p = 1 - 0.999^{27}[/tex]

[tex]p = 0.0267[/tex]

Hence, the probability that at least one of them will come up 1-1-4 on January 14​ is 0.0267

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Answer:

45.52

Step-by-step explanation:

38.42 + 7 is 45.42, and 45.42 + 0.1 is 45.52

Answer:

Let's look at the whole numbers first and put aside the decimals;

38 and 7, let's add these two: 38 + 7 = 45

Now let's look at the decimals;

0.42 and 0.10, let's add these two:

+ _______

45 + 0.52

5.06

√25.65 = 5.06458...

so, to round it off to 2.d.p, you just count up to two numbers after the decimal point, these number would be 0 and 6. 6 can not be rounded off because the 4 after it is not bigger than 5.

Answer:

A and C

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

subtract the 6 on both sides: -3x+6=-21

-6. -6

divide -3 on both sides: -3x=-27

÷-3. ÷-3

after dividing u get x alone and and the answer which is: x=9

Answer:

1,250 miles/hour

Step-by-step explanation:

To find miles per hour - [tex]\frac{6250 miles}{5 hours}[/tex].

Answer:

no x values repeat, so yes it is a function

Step-by-step explanation:

Answer:

250 feet by 250 feet

Step-by-step explanation:

The largest area that can be closed is a square, so divide 1000 by 2 to determine the length and width of the yard. Length is 250 feet, and width is 250 feet.

Hopefully this helps - let me know if you have any questions!

Given :

⠀

To Find :

⠀

Solution :

Let us assume the length as 10x m and breadth as 3x m .

⠀

We know that,

[tex]{ \longrightarrow{\quad \sf \pmb{ Length \times Breadth = Area_{(rectangle)}}} }[/tex]

⠀

Now, substituting the values in the formula :

[tex]{ \longrightarrow{\quad \sf{ 10x \times 3x = 27000 }}} [/tex]

[tex]{ \longrightarrow{\quad \sf{ 30 {x}^{2} = 27000 }}} [/tex]

[tex]{ \longrightarrow{\quad \sf{ {x}^{2} = \dfrac{27000}{30} }}} [/tex]

[tex]{ \longrightarrow{\quad \sf{ {x}^{2} = 900 }}} [/tex]

[tex]{ \longrightarrow{\quad \sf{ {x}= \sqrt{900} }}} [/tex]

[tex]{ \longrightarrow{\quad \bf{ {x}= 30 }}} [/tex]

⠀

Therefore,

⠀

Now,

We know that,

[tex]{ \longrightarrow{\quad \sf \pmb{Perimeter_{(rectangle)}=2(Length + Breadth) }} }[/tex]

⠀

Substituting the values in the formula :

[tex]{ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(300 + 90) }} }[/tex]

[tex]{ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(390) }} }[/tex]

[tex]{ \longrightarrow{\quad \bf \pmb {Perimeter_{(rectangle)}=780 }} }[/tex]

⠀

Therefore,

The perimeter of the rectangle whose area is 27000 m² is 780 m.

The perimeter of a rectangle is the determinating of all the sides of the rectangle. In the given question, we have the following parameters:

Given that:

It implies that, if the length is 10x, the breadth is 3x

The area of a rectangle = length × breath

27000 m² = (10x) × (3x)

27000 m² = 30x²

x² = 27000/30

x² = 900

x = √900

x = 30

Now, we can say that:

The perimeter of the rectangle = 2(length + breadth)

The perimeter of the rectangle = 2(300 + 90)

The perimeter of the rectangle = 780 m

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Answer:

4/9*2/3= 8/27 i dont think you can simplify.

Step-by-step explanation:

Answer: 26.3 mm

Step-by-step explanation:

According to the two-standard deviations rule for outliers, the values that does not lie within 2 standard deviations from mean are outliers.

If Mean = 23.5 millimeters (mm) and standard deviation =  1.4 mm

Then, greatest thickness need to check = mean + 2 (standard deviation)

= 23.5 + 2(1.4)

= 23.5 + 2.8

= 26.3 mm

hence, the greatest thickness that would require the statistician to check the configuration of the machine = 26.3 mm.

Answer:

€107.69

Step-by-step explanation:

If $2=€1.78 then $1= €0.89

0.89*121= €107.69

The 107.69 Euros will Roscoe have for trip to Germany.

It is required to find how many Euros will Roscoe have for trip to Germany.

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

Roscoe is exchanging $ 121 for Euros.

If $2 can be exchanged for 1.78 Euros.

$2=€1.78

then $1= €0.89

For  $ 121=

=0.89*121

= €107.69

Therefore, the 107.69 Euros will Roscoe have for trip to Germany.

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Answer:

2.625 or 21/8

Step-by-step explanation:

Answer:

Ur mom lol she gave birth to a kid who knows nothin

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A, a number line from zero to four partitioned into fifths. There is one hop of one and two hops of one-fifth from one and two-fifths to two and four-fifths :)

Answer: it’s A. I think

Step-by-step explanation: I hope this helps!

Answer:

the answer is

[tex]x = 13a {}^{2} [/tex]

Answer:

2 x 36 = 72

6 x 12 = 72

Step-by-step explanation:

Other 2 are not 72.

Answer:

8x8 i think im right though

Step-by-step explanation:

The exponent of a number describes how many times to multiply the number by itself.

[tex](0.2)^3=0.2 \times 0.2\times 0.2[/tex]

Multiply;

[tex]0.2 \times 0.2 \times 0.2[/tex]

[tex]0.04 \times 0.2[/tex]

[tex]0.008[/tex]

[tex]\boxed{C. \: 0.008 \: is \: the \: correct \: option.}[/tex]

1. Change 0.2 into fraction form.

[tex]0.2 = \frac{2}{10}[/tex]

2. Simplify (2/10)³.

[tex](\frac{2}{10})^{3}[/tex]

⇒ [tex](\frac{2}{10})(\frac{2}{10})(\frac{2}{10})[/tex]

⇒ [tex]\frac{8}{1000}[/tex]

3. Change 8/1000 into decimal form.

[tex]\frac{8}{1000} = \frac{0.8}{100} = \frac{0.08}{10} = \frac{0.008}{1} = 0.008[/tex]

Thus, Option C is correct.

Answer:

divide the number of minutes to hours

Answer:

Its c which is divide the number by 60

Step-by-step explanation:

I did the quiz and got it right

Answer:

A linear formula for S as a function of D is S=17D+1534

Step-by-step explanation:

We are supposed to find a linear formula for S as a function of D.

Equation of line : y = mx+c

We are given that At the surface, the speed of sound is 1534 meters per second.

c = 1534

We are given that for each increase in depth by 1 km, the speed increases by 17 m/s

So, Slope = m = 17

Substitute the values in equation

y=17x+1534

x denotes depth

y denotes speed

We are given that Use D for depth and S for the speed of sound

So, S=17D+1534

Hence a linear formula for S as a function of D is S=17D+1534

Answer:

SA=2B+A rec. 1+A rec. 2+A rec. 3

Answer:

1/4

Step-by-step explanation:

Answer:

2/5 I'm so confused rn but okay

Answer:

1200 drops of red and 800 drops of blue.

Step-by-step explanation:

3*50=150 150*8=1200

2*50=100 100*8=800

Multiply by eight because there are 8 pints in a gallon.

Answer:

8.2, (I think... probably)

Step-by-step explanation:

Answer:

The slope of the parallel line to the line 2x + 5y = -10 is [tex]-\frac{2}{5}[/tex]

Step-by-step explanation:

Parallel lines have equal slopes and different y-intercepts

To find the slope of the line from the equation of the line, then put the equation in the form y = m x + b, where

Let us solve the question

∵ The equation of a line is 2x + 5y = -10

→ Put the equation in the form above

→ Subtract x from both sides to move 2x from the left side to the

   right side

∴ 2x - 2x + 5y = -10 - 2x

∴ 5y = -10x - 2x

→ Make the coefficient of y equal 1 by dividing all terms by 5

∵ [tex]\frac{5y}{5}=-\frac{10}{5}-\frac{2x}{5}[/tex]

∴ y = -2 - [tex]\frac{2}{5}x[/tex]

→ Compare it by the form of the equation above

∴ m = [tex]-\frac{2}{5}[/tex]

∴ The slope of the given line is [tex]-\frac{2}{5}[/tex]

→ We need the slope of the line which is parallel to the given line

∵ Parallel lines have the same slopes

∴ The slope of the parallel line to the line 2x + 5y = -10 is [tex]-\frac{2}{5}[/tex]