Someone please check my answers for 5 & 6, correct me if they are incorrect. May someone also please help me with 7 & 8? Thank you!

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.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

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:

  (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:

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

Step-by-step explanation

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 two formats used in an observation checklist are: D. Performance profiles and SMART Targets.

Observation checklist can be defined as the process of observing and evaluating  a person or group of  people performance.

When carrying out an observation checklist  endeavors to make sure that  the checklists are dated.

Observation checklist includes Performance profiles and SMART Targets. Where SMART stands for:

S=Specific

M=Measurable

A=Achievable

R=Relevant

T= Time-Bound

Therefore the correct option is D.

Learn more about Observation checklist here:https://brainly.com/question/584814

#SPJ1

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:

5 1/4 gallons

Step-by-step explanation:

Hope this helps and have a nice day

Answer:

A≈9248.85

Step-by-step explanation:

A=2πrh+2πr2=2·π·32·14+2·π·322≈9248.84877

Answer:

7[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Take 9 out of [tex]\sqrt{63}[/tex]

You get 3[tex]\sqrt{7}[/tex]

Take 4 out of [tex]\sqrt{28}[/tex]

You get 2[tex]\sqrt{7}[/tex]

So, 3(3[tex]\sqrt{7}[/tex]) - 2[tex]\sqrt{7}[/tex]

= 9  [tex]\sqrt{7}[/tex] - 2[tex]\sqrt{7}[/tex]

=7[tex]\sqrt{7}[/tex]

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

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

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:

62.8 meters

Step-by-step explanation:

Use the formula for circumference.

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

Answer:

B

Step-by-step explanation:

answer is based on results from the Cartesian plane

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

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.

Learn more about mortgage payments at https://brainly.com/question/22846480

#SPJ1

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

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%

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.

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.

Learn more on Determining the value of function here: https://brainly.com/question/3082362

#SPJ1

Answer:

Step-by-step explanation:

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.

Learn more about Like Terms:

https://brainly.com/question/2513478

#SPJ1