A random number generator will pick a whole number from 1 to 20 ten times. Predict how many times you think it will pick two numbers that are 8 or less. Explain.

Answer:

112

Step-by-step explanation:

You asked for consecutive integers:

x = first

x+1 = second

x        +       x+1     <=  223

2x +1 ≤ 223

2x  ≤ 222

x  ≤ 111

x +1 = 112

Answer:

[tex]6^{7/2}[/tex]

Step-by-step explanation:

[tex]6^4 \div 6^{1/2} \\ \\ =6^{4-\frac{1}{2}} \\ \\ =6^{7/2}[/tex]

Answer:

This question was previously solved by an expert

Part (a)

[tex]f(3)=5-3(3)^2=-22 \\ \\ f(3+h)=5-3(3+h)^2 \\ \\ =5-3(h^2 +6h+9) \\ \\ =5-3h^2 -18h-27 \\ \\ =-3h^2-18h-22 \\ \\ f(3+h)-f(3)=(-3h^2-18h-22)-(-22)=\boxed{3h^2 +18h}[/tex]

Part (b)

[tex]\frac{f(3+h)-f(3)}{(3+h)-3} \\ \\ =\frac{-3h^2-18h}{h} \\ \\ =\boxed{-3h-18}[/tex]

The equation of line is x + 2y = 12.

The equation of a straight line is y= mx+c , m is the gradient and c is the height at which the line crosses the y -axis, also

For example,

We know from the question that our slope is 3 and our y-intercept is –5, so plugging these values in we get the equation of our line to be y = 3x – 5

Given:

line p passes through point (2,5)

and perpendicular to the line whose equation is y=2x+3.

As the slope of line is

m=2

for perpendicular the slope of another line is

m' = -1/m

m' = -1/2

Now, the equation of lines passes through (2, 5)

y-[tex]y_{1}[/tex]= m (x-[tex]x_1[/tex])

y-5= -1/2(x - 2)

2y - 10 = 2 -x

x + 2y = 12

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The amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.

We are given that:

Principal = p = $ 5000

Interest rate = r = 4%

Compounding Annually

Time = n = 4.5 years

Now, we know that the formula for compound interest is:

Amount (A) = p ( 1 + r )ⁿ

Substituting the values in the formula, we get that:

A = 5000 ( 1 + 0.04)⁴°⁵

A = 5000 (1.04)⁴°⁵

A = 5000 (1.19)

A = $ 5956.13

Therefore, we get that, the amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.

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A piecewise function that relates the salesperson total monthly income based off or his/her sales for the month is  X > 25000.

An accurate graph of this piecewise function is 2100.

The salesperson's monthly income if his/her sales were $43,000 for the month is $ 4250

Explanation for this is

a) S(x) = 0.02x + 2850  ( 0 < x < 25000 )

              0.05x + 2100  ( X > 25000 )

b) 25k  26k

    500  550

3400 = 0.05 ( 26000) + b

3400 = 1300 + b

b = 2100

c) 0.05 (43000) + 2100

= $4250

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.

The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

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The number of 5 / 16 pizza servings in 2 1/4 pizzas is 7 1/5 pizza servings.

A proper fraction is a non-integer that is made up of a numerator that is smaller in value than the denominator. An example of a proper fraction is 1/4. A mixed fraction is a fraction that is made up of a whole number and a proper fraction.  An example of a mixed fraction is 2 1/4.

In order to determine how many 5/16 pizza servings are in 2 1/4 pizza, divide 2 1/4 by 5/16. Division is the mathematical operation that is used to group a number into equal groups using another number. The sign used to represent division is ÷.

2 1/4 ÷ 5/16

9/4 × 16/5 = 36 / 5 = 7 1/5 pizza servings.

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The maximum whole number of gigabytes of data he can use while staying within his budget is 3 gigabytes

What is straight-line equation?

The straight-line equation which comprises of the fixed charge that Mason would have to pay for data usage every month and the variable charge which is based on the number of gigabytes used is as shown below:

y=a+bx

y=total cos65

a=fixed charge=51.50

b=cost per gigabyte=4

x=number of gigabytes he has to use to stay within his budget=unknown

65=51.50+4x

65-51.50=4x

13.5=4x

x=13.5/4

x=3.38( 3 gigabytes so as not to pay for 4 gigabytes)

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Answer:3/4

Step-by-step explanation:

18/24 divide by 2 9/12 divide by 3 3/4

The area of the building in terms of y in its simplest form is (8y^2-18)

Since the area of rectangular is

Area = Length x Breadth

From our Question,

The width of the rectangle building is 2y feet.

So, L = 4y - 9 feet

So, the area of the building in terms of y is

Area = L x B

= (4y-9)x 2y

= (8[tex]y^2[/tex] - 18y)

So, the area of the building in term of y in its simplest form is (8y^2 -18)

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The company must sell 1899 DVDs each day to make a profit.

An owner's income from a successful manufacturing process producing goods for the market is referred to as a profit (business).

The cost for supplies is $0.80 per DVD.

Let the company manufactured and sold x DVD s.

Now , total cost for x DVDs = 0.80 x + 1500

Total sell price for x DVDs = 1.59x

Profit = Sell price - cost price

Profit = 1.59x - 0.80x - 1500

profit = 0.79 x - 1500

Now the profit is made. Therefore profit>0

∴ 0.79 x - 1500 > 0

or , x > 1500 ÷ 0.79

or, x > 1898.734

Hence the company need to sell 1899 DVDs to make a profit.

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Answer:

Length = 20 ft. Width = 6 ft.

Step-by-step explanation:

The cost of the wool insulation required for the loft floor is £149.16498

The given parameters are

Roll of wool = 114 cm by 5.2 m

One roll = £19.65 per roll

The area of one roll is calculated as

Area = Length * Width

So, we have

Area = 114 cm x 5.2 m

Convert cm to m

Area = 1.14 m x 5.2 m

Evaluate the product

Area = 5.928 m^2

The cost of the required area of loft floor is

Total cost = Unit cost/Area of 1 roll x Area of floor

This gives

Total cost = £19.65/5.928 * 4.5 * 10

Evaluate the product

Total cost = £149.16498

Hence, the cost of the wool insulation required for the loft floor is £149.16498

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The equilibrium price is $12.

Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.

When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.

When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.

-280 + 40p = 800  - 50p

In order to determine the value of p, take the following steps:

Combine similar terms: 800 + 280 = 40p + 50p

Add similar terms = 1080 = 90p

Divide both sides of the equation by 90 : 1080 / 90 = 12

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Answer:

[tex] \sf \: x= \frac{78}{19} (Decimal: 4.105263)[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

6x=468/19

Step 1: Divide both sides by 6.

6x/6=468/19/6

x=78/19 (Decimal: 4.105263)

Answer:

the only answer i could think of is because

6*5= 30 which is the remainder of the wall that needs to be painted

Answer: 14a + 4b

Step-by-step explanation: 2(4a+b) part equals 8a + 2b because it is distributive property and then 2(3a+b) equals 6a+2b then put the a's. 8a + 6a = 14a then the b's. 2b+2b= 4 b. Put them together and it gives you 14a + 4b.

Step-by-step explanation:

2(4a+b)+2(3a+b) remove the brackets

2(4a+b)+2(3a+b) =

8a + 2b + 6a +2b =  (no brackets)

14a + 4b                    (solution)

Answer:

8. 47°F

9. -20°C

10. 29,513ft

Step-by-step explanation:

8.

92°F - 45°F = 47°F

The Equator is 47°F warmer than the South Pole.

9.

-4°C × 5 = -20°C

The coldest day on record in Felix's town is -20°C

10.

29,028 - (-485)

29,028 + 485 = 29,513 feet.

The difference between Mt. Everest and the Dead Sea is 29,513 feet.

I hope this helps!

Q3 or upper quartile for the data 2,4,6,8,10,12 is 10

Q3 or upper quartile is an statistical term that separates the highest 25 percent data from lowest 75 percent data.

For finding quartile first arrange the given data into ascending order.

Find the median of the data then the median divides the data into two potions . the median of the upper half of data is the upper quartile.

Or if the total no of terms are n then Quartile formula for upper quartile is  

  = (n+1)3/4   term

Given data is 2,4,6,8,10,12 which is already arranged in ascending order and no of terms are n=6

Median of this data = ( 3rd term + 4th term)/2 =(6+8)/2=7

7 divides the data into two halves 2,4,6 and 8,10,12

Upper half is 8,10, 12 as this data has odd terms thus median will be the middle term

Median is middle term of 8,10,12 that is 10

Therefore, Q3 or the upper quartile of the given data is 10

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The equation of line in slope intercept form described from given table will be equal to y = -2x + 1

What is the slope intercept form of a line ?

The equation of a line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

From the given figure we can find out that the points are (x1.y1) = (-2 , 5) and (x2 , y2) = ( -1 , 3).

The equation of line in slope intercept form

y = mx + c

Where m is the slope, and c is the y-intercept.

We have points (-2, 5) and (-1,3). Thus , the slope (m) will be :

m = ( [tex]y_{2} - y_{1}[/tex] ) /( [tex]x_{2} - x_{1}[/tex] )

m = ( 3 - 5 ) / ( -1 + 2)

m = -2

Using this value to find out the equation of line we get :

y = -2x + c

Point (-2,5) means that when x = -2 then y = 5 , and we use this data to find value of c , which is the y- intercept ;

5 = -2 × -2 + c

c = 5 - 4

c = 1

So , in slope intercept form the equation of line will be ;

y = -2x + 1

Therefore , the equation of line in slope intercept form will be y = -2x + 1.

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The regression equation is y = 11.9799 + (-246.4420)x.

The chest size (x) is the independent variable.

Now,

X         Y          XY          X²          Y²

47      282     13254     2209     79542

61      495     30195     3721     245025

51      371     18921     2601     137641

47      349     16403     2209     121801

54      421      22734    2916     177241

56      389      21784    3136     151321

Table for the sum,

n                         6

sum(XY)          123291.00

sum(X)             316.00

sum(Y)             2307.00

sum(X²)            16792

sum(Y²)            912553

Numerator        10734

Denominator     11711.10

r                         0.9166

r²                        0.8401

Xbar(mean)       52.6667

Ybar(mean)       384.5

b                        11.9799

a                       -246.4420

Now,

b = [ ∑XY - (∑X)(∑Y) ] / [ n∑ X² - ( ∑X )² ]

Therefore,

b = 11.9799

a = [ ∑Y  - b ∑x ] / n

a  = - 246.4420

So, the regression equation is:

y = 11.9799 + (-246.4420)x

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Answer:

Step-by-step explanation:

Do 6 +5=11+4=15+1+2+18+3=21+5=26+4=30 theres ur answer:D

Answer:

1. 7395.108

2. 600+80+1+0.4+0.01+0.006

3. 2079.346

Step-by-step explanation:

number 1 is 7,395.108

number 2 is (6x100)+(8x10)+(1x1)+(4x1/10)+(1x1/100)+(6x1/1000)

number 3 is 2,079.346

if this was really helpful, please rate thanks and brainliest

hope this was helpful :)

Answer:

2b) x < - 3

2e) x < 3 or x < -3

Step-by-step explanation:

Format for quadratic equations (the only difference in quadratic equations is that the equal sign is replaced with any of the inequality symbols (< , > , ≥ , and ≤)

ax² + bx + c = 0

- To factor quadratic inequalities (we're using 2b) as a demonstration)

1) Find two numbers that make the product equal to a×c (1×9) which is 9 and the sum that equals to b which is 6. Those two numbers in this case is positive 3 and positive 3

2) Spilt the middle term with those two numbers which are positive 3 and positive 3 so the inequality x² + 6x + 9 is going to become x² + 3x + 3x + 9

3) Take the common terms and simplify the common terms in this case the common terms are x and + 3 so it can be factored as (x + 3) and (x + 3)

To find each x make each term greater than 0 so it would be x + 3 < 0 and x + 3 < 0

4) Solve for x (it is the same way to solve x in inequalities as it were for equations which is doing inverse operations to order to islolate x) It would be x + 3 - 3 < 0 - 3 which is x < - 3

2e)

1) You essentially do the same steps for solving this question too but a shortcut way of doing factoring is to do the perfect square method which is to look a c which is 9 and if its a perfect squares you can factor it as (x+3) and (x-3) since not only is the 9 negative both of these terms when added cancel out each other.

2)To find x make everything < 0 so it would be x + 3 < 0 and x - 3 < 0

3) Solve for x it would be x + 3 - 3 < 0 - 3 and x - 3 + 3 < 0 + 3 . The roots are x < - 3 or x < 3

I hope this helps :)

The fatality rate per 100,000 is 205.23.

In mathematics, a rate of something is simply the ratio between two related quantities which are expressed different units. While expressing the units of any rate, the word "per" is used to distinguish the units of the two measurements used to calculate the rate.  

Here, we are given that a country has a population of 2.1 million.

2.1 million can be written as- 2,100,000

The number of fatalities experienced by the country = 4,310

This means that there where 4,310 fatalities per 2.1 million of the population.

The number of fatalities per 100,000 will be given as-

4,310/ 2,100,000 × 100,000

expanding it further we get-

4,310/ 21

= 205.23

Thus, the fatality rate per 100,000 is 205.23.

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Answer:

[tex]25 \times 25[/tex]

Step-by-step explanation:

In mathematical modelling, we take a real-world problem and write it as an equivalent mathematical problem.

We then solve the mathematical problem, and interpret its solution in terms of the real-world problem.

After this we see to what extent the solution is valid in the context of the real-world problem.

Mathematical modeling is one of the bases of mathematics education. Mathematical modeling is described as conversion activity of a real problem in a mathematical form. Modeling involves to formulate the real-life situations or to convert the problems in mathematical explanations to a real or believable situation.

It's extremely precise, since it's math-based, which allows you to develop accurate ideas and assumptions. It's concise, with clear and established rules. It gives you direction when trying to solve a problem.

characters of modeling;

It may be changed or manipulated with relative ease.

It is simplification/Idealization. Mathematical modeling has many benefits related to real-world problems, but the main disadvantages are process simplification, specific rules of the model, and lack of information or data monitoring.

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Answer:

B

Give me brainliest answer

I hope I could help.

The equation of the line with slope 4 which goes through the point (8,5) will be y = 4x - 27.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slope of the equation of a line is 4, then the equation of the line will be

y = 4x + c

The equation of the line is passing through (8, 5), then the value of c will be

5 = 4(8) + c

5 = 32 + c

c = 5 - 32

c = - 27

Then the equation of the line will be

y = 4x - 27

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