Find the slope of a line parallel to -3x+7y=-15

Using the Central Limit Theorem, it is found that the correct option is given by:

Yes. All conditions are met.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, we have no information about the distribution, but the sample size is greater than 30, hence all the conditions have been met.

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Answer:

  (x +2.5)² +(y -2)² = 6.25

Step-by-step explanation:

A radius of a circle is perpendicular to the tangent line at the point of tangency. This means the center of the circle lies on the horizontal line through the point (0, 2), which is on the vertical tangent x=0 (the y-axis).

The center of a circle lies on the perpendicular bisector of any chord, so the perpendicular bisector of the given two points will pass through the circle center.

__

The slope of the chord between the given points is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(0 -(-1)) = 2   ⇒   perpendicular has slope -1/2

The midpoint of the chord is ...

  M = (A +B)/2 = ((0, 2) +(-1, 0))/2 = (-1, 2)/2 = (-1/2, 1)

The point-slope form of the perpendicular through the midpoint of the chord is ...

  y -1 = -1/2(x -(-1/2))

__

For y = 2, the x-value is ...

  2 -1 = -1/2(x +1/2)

  -2 = x +1/2 . . . . . . multiply by -2

  -2.5 = x . . . . . . . subtract 1/2

The circle center is (-2.5, 2), and the radius is 2.5 (distance from center to y-axis).

__

The equation can be written as ...

  (x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r

  (x -(-2.5))² +(y -2)² = 2.5²

  (x +2.5)² +(y -2)² = 6.25

Answer:

Step-by-step explanation: Après un an on a 20000(1+t%)+20000

Après 2 ans on a 20000(1+t%)^2+20000(1+t%)^1=44298

On a donc 20000[(1+t%)^2+(1+t%)^1]=44298

En résolvant l’équation de second degré dans R, on obtient : t = 7%

Answer:

A.  (96 - 72) ÷ 12

D.  24 ÷ 12

Step-by-step explanation:

Difference between 96 and 72 means subtract 72 from 96:   96 - 72

Divide by 12 means:  ÷ 12

Therefore, "Divide the difference between 96 and 72 by 12" is:  

⇒ (96 - 72) ÷ 12

As the difference between 96 and 72 is 24, we can also represent the calculation by:

⇒ 24 ÷ 12

Answer:

let M point x1, Y1 and f point X2,y2 then we know the formula of distance root (x2-x1)^2+(y2-y1)^2 then you will found the distance

Answer:

0.08684 m²

Step-by-step explanation:

1 m = 100 cm

1 m² = (100 cm)²

1 m² = 10000 cm²

868.4 cm² × (1 m²)/(10000 cm²) = 0.08684 m²

Answer:

[tex]3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}[/tex]

Step-by-step explanation

Answer:

(a) 191 had side effects

(b) 370 had nausea

(c) 86 had both anxiety and fatigue

Step-by-step explanation:

    See attached. We look at the Venn diagram to answer the different questions.

If you are color blind let me know and I will mark the attachment more clearly.

Answer:

[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]

Step-by-step explanation:

To get the equation of a circle, plug your information into this equation:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Therefore, the equation of this circle is:

[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]

Answer:

110.5 yd²

Formula's:

Area of triangle:

1/2 × base × height

Area of rectangle:

length × width

Area of the figure:

= area of triangle + area of rectangle's

= 1/2 × 11 × 7 + 3 × 4 + 5 × 3 + 5 × 2 + 7 × 5

= 110.5 yd²

Answer:

110.5 yd²

Step-by-step explanation:

Separate the figure into 1 triangle and 3 rectangles.

(see attached image)

Area 1

Area of a triangle = 1/2 × base × height

                             = 1/2 × (7 + 2 + 2) × 7

                             = 1/2 × 11 × 7

                             = 38.5 yd²

Area 2

Area of a rectangle = width × length

                                 = 3 × (5 + 2 + 2)

                                 = 3 × 9

                                 = 27  yd²

Area 3

Area of a rectangle = width × length

                                 = 5 × (5 + 2)

                                 = 5 × 7

                                 = 35  yd²

Area 4

Area of a rectangle = width × length

                                 = 2 × 5

                                 = 10  yd²

Total Area

Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10

                                                        = 110.5 yd²

Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

To solve an equation the first step is to rearrange the equation such that like terms are together.

Hence, the first step to solving an equation is to rearrange the like terms.

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Answer:

62.8 meters

Step-by-step explanation:

Use the formula for circumference.

[tex]C = d\pi \\C = 20(3.14)\\C = 62.8[/tex]

The true statement about the right rectangular prisms include:

It should be noted that a prism simply means a shape that has two identical shapes that face each other.

Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.

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Answer:

1,2, and 5

Step-by-step explanation:

Answer:

50,909

Sort the digits out from greatest to least, and form a number.

The number 92,581 is represented in standard form as the sum of its place values: 90,000 + 2,000 + 500 + 80 + 1.

Standard form is a way to represent numbers using digits.

In standard form, each digit's value is determined by its position in the number.

Given 9 ten thousands + 2 thousands + 5 hundreds + 8 tens + 1 one.

9 ten thousands means we have 9 sets of ten thousands, which is 9 × 10,000 = 90,000.

2 thousands means we have 2 sets of thousands, which is 2 × 1,000 = 2,000.

5 hundreds means we have 5 sets of hundreds, which is 5 × 100 = 500.

8 tens means we have 8 sets of tens, which is 8 × 10 = 80.

1 one is the value 1.

Now, let's add up all these values:

90,000 + 2,000 + 500 + 80 + 1

= 92,581.

So, the number 92,581 is represented in standard form as the sum of its place values: 90,000 + 2,000 + 500 + 80 + 1.

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Complete question:

Write the number in standard form.

9 ten thousands +2 thousands +5 hundreds + 8 tens +1 one

Answer:

50,000   fifty-thousand

Step-by-step explanation:

Just use a calculator

Answer:

C

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Step-by-step explanation:

it does not say what the card deck consists of, and how many cards of what type there are.

so, I assume a standard playing card set of 52 cards (no jokers) with 4 suits of

Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K

in that ranking of value.

so there are 4 cards of each of the 13 different types.

a card with a number greater than 9 means a 10, a J, a Q, or a K.

so, in total there are 4×4 = 16 such cards in the deck.

a card with a number less than 4 means an Ace, a 2, or a 3.

so, in total there are 4×3 = 12 such cards in the deck.

to get a number greater than 9 and a number less than 4 is a combination of the first card being greater than 9 and the 2 card being less than 4 OR the first card being less than 4 and the second card being greater than 9.

an "and" operation (without overlap) we represent by a multiplication, and an "or" operation (without overlap) by an addition.

remember, a probability is always

"desired cases / total possible cases".

so, the probability to draw a first card greater than 9 is

16/52 = 4/13

the probability to draw a second card greater than 9 (after a first card less than 4) is

16/51

because we still have all the large cards, but one of the smaller ones is now gone.

the probability to draw a first card less than 4 is

12/52 = 3/13

the probability to draw a second card less than 4 (after a first card greater than 9) is

12/51.

so, the complete probability of the scenario is

4/13 × 12/51 + 3/13 × 16/51 = 48/663 + 48/663 = 96/663 =

= 32/221 = 0.14479638...

if my assumptions about the cards are wrong, please adapt the numbers accordingly. but the basic structure of the calculation is the same.

Answer:

[tex]Total\ Price = \$57.12[/tex]

Step-by-step explanation:

Step 1:  Determine the discounted price

[tex]Discount=Original* (Total\ percent - Sale\ percent)[/tex]

[tex]Discount=\$68 * (1 - 0.2)[/tex]

[tex]Discount=\$68 * (0.8)[/tex]

[tex]Discount=\$54.4[/tex]

Step 2:  Determine the total with tax

[tex]Total\ Price = Discount * (Total\ percent + Tax\ percent)[/tex]

[tex]Total\ Price = \$54.4*(1+0.05)[/tex]

[tex]Total\ Price = \$54.4*(1.05)[/tex]

[tex]Total\ Price = \$57.12[/tex]

Answer:  [tex]Total\ Price = \$57.12[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

height = 21 cm

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substituting given values into the formula and solving for r:

[tex]\implies \sf 343 \pi=\dfrac{1}{3} \pi r^2(3r)[/tex]

[tex]\implies \sf 343=\dfrac{1}{3}\cdot3r^3[/tex]

[tex]\implies \sf 343=r^3[/tex]

[tex]\implies \sf r=\sqrt[3]{343}[/tex]

[tex]\implies \sf r=7\:cm[/tex]

As h = 3r, substitute found value of r into the equation and solve for h:

[tex]\implies \sf h = 3r[/tex]

[tex]\implies \sf h=3(7)[/tex]

[tex]\implies \sf h=21\:cm[/tex]

The full workings for the house purchase you made on a mortgage are as follows:

1. Price of House = $499,000 (given)

2. Down Payment = $99,800 ($499,000 x 20%)

3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).

4. Monthly Payment = $2,522.94 (given)

5. Number of monthly payments = 360 months (30 x 12)

6. Total Payback = $908,258.40 ($2,522.94 x 360)

7. Total Interest = $509,058.40 ($908,258.40 - $399,200)

8. Assessed Valuation = $199,600 ($499,000 x 40%)

9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)

10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12

11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)

A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.

The borrower then makes a monthly payment, which includes the principal and its interest.

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Answer:

5 1/4 gallons

Step-by-step explanation:

Hope this helps and have a nice day

Answer:

B

Step-by-step explanation:

answer is based on results from the Cartesian plane

Answer:

Area = 1250cm²

Step-by-step explanation:

Area of a kite = pq/2

where p and q are diagonals

p = 25+25 = 50

q = 30+ 20 = 50

Area of a kite = pq/2

Area = (50*50 ) / 2

Area = 1250cm²

so your question is

A class quiz has 5 multiple-choice questions and each question has 4 possible answers (A, B, C, or D). Which spinner would best simulate this scenario?

A spinner with 2 equal sections.

A spinner with 4 equal sections.

A spinner with 6 equal sections.

A spinner with 8 equal sections.

Ur answer is B.....   hope this helps .... please mark Brainliest , or u don't have to its fine

Using the given information, the value of the f(3) is 155

From the question, we are to determine the value of f(3)

From the given information,

f(n) = 5f(n-1) + 5

∴ f(2) = 5f(2-1) +5

f(2) = 5f(1) + 5

From the given information,

f(1) = 5

Then,

f(2) = 5(5) + 5

f(2) = 25 + 5

f(2) = 30

Also,

f(3) = 5f(3-1) + 5

f(3) = 5f(2) + 5

∴ f(3) = 5(30) + 5

f(3) = 150 + 5

f(3) = 155

Hence, the value of the f(3) is 155.

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