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2 years ago

PLEASE HELP!!!!!!!! 40 POINTS!!!!!!

Mathematics

1 answer:

Arada [10]2 years ago

4 0

Answer: See below

Step-by-step explanation:

Slope of the equation:

From using the slope equation m=y2-y1/x2-x1 for any point we get 2.3033 as the slope

Value of y - intercept:

y=2.3033x+b, use any point that is on the line when you graphed it on the tool, I got 160.71

Thus, the equation for the line of best fit: y=2.3033x+160.71

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there are 10 students in a classroom, including the triplets Hugh,Stu, ans Lou. if 3 of 10 are randomly selected to give speeche

Keith_Richards [23]

1/10 for Hugh to be first and after he is picked only 9 students remain so 1/9 for stu and after he is picked only 8 remain to be chosen so 1/8 for lou. The chance of all three happening is 1/10×1/9×1/8=1/720 this is the probability that 3 triplets will be chosen in that exact order out of 10 students

3 0

3 years ago

G) 145

miskamm [114]

Answer:

To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.

So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.

now you can calculate the answers yourself!

To convert decimal into binary, you can use the following approach:

Write down the answer from right to left

A. if your number is odd, write down a 1, if it is even, write a 0

B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)

C. repeat step A until your number is 0.

example:

18 -> write down 0

18/2 = 9 -> write down 1

9/2 = 4 -> write down 0

4/2 = 2 -> write down 0

2/2 = 1 -> write down 1

1/2 = 0 finished

The result is 10010.

4 0

3 years ago

Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these proper

valentinak56 [21]

The two properties newton used to rewrite the expression are;

- Associative Property; Because it involves change of grouping of numbers in the expression.

- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.

This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;

- Associative Property

- Commutative Property

- Distributive Property

Let us define each of them;

1) Associative Property; This property in algebra is one that means that no

matter how we group the numbers, we will still get the same result. e.g.

x + (y + z) = (x + y) + z.

2) Commutative Property; This property means that we can change the

order of operation and still get the same answer. For example;

p × q × r = p × r × q

3) Distributive Property; This property means that multiplying the sum of

two or more which are in a bracket by a number outside the will be equal to

the answer gotten when we multiply each number in the bracket

individually by the number outside and then adding their respective

products together. For example; p(q + r) = (p * q) + (p * r)

Newton has the expression; (4 × 23) × 25

Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.

For the associative property as shown above, he will arrive at;

(4 × 23) × 25 = 4 × (23 × 25)

For the distributive property as shown above, he will arrive at;

(4 × 23) × 25 = (25 × 4) + (25 × 23)

Read more at; brainly.com/question/20724601

6 0

3 years ago

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0

3 years ago

please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e

mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0

1 year ago