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Answer:

e. Approximately normal with mean of $406,274 and standard deviation $3534

Step-by-step explanation:

Given,The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981 & Sample of Size 200 Are Drawn .

Now, By the Central Limit Theorem, the approximately normal Mean is $406,274 .

And,

Standard deviation ⇒ s= σ / √n ⇒ $49981 / [tex]\sqrt{200}[/tex]

⇒ $49981 / 10×√2 ⇒ $4998.1 / √2 ⇔ $3534.72 ≈ $3534

Answer:

x = 3

Step-by-step explanation:

Remark

Find the hypotenuse of the triangle. That is also the length of the rectangle.

Then use Pythagoras to find x.

Givens and solution

two sides of the triangle both = to 6

Find the base of the triangle which is also the length of the rectangle. Call the base = y

6^2 + 6^2 = y^2

36 + 36 = y^2

y^2 = 72

sqrt(y^2) = sqrt(72)

y = 8.4853

Transfer x to the opposite side of the rectangle.

x^2 = diagonal^2 - y^2

x^2 = 9^2 - y^2

x^2 = 81 - 72

x^2 = 9

sqrt(x^2)= sqrt(9)

x = 3

Answer:

B. Sum of interior angles; converse of opposite angles theorem

Step-by-step explanation:

In statement 1, all the interior angles of the quadrilateral are added to give a sum of 360°. The reason would therefore be "sum of interior angles".

As a follow up to the already established fact that the opposite angles of the quadrilateral are congruent to each other, this satisfies the Converse of Opposite Angles Theorem, which states that if the opposite angles of a quadrilateral are congruent to each other then the quadrilateral must be a parallelogram.

Reason for the statement in number 6 is definitely "converse of opposite angles theorem."

Answer:

j = 9.65

Step-by-step explanation:

[tex]\frac{8}{cos(34)}[/tex] = j

j = 9.649743588... (round as needed)

Answer:

400^2 = 160 000

Step-by-step explanation:

The square of a number means the product of a number by itself, while the perfect square ... For example, the number 9 is a perfect square because it can be expressed as a product of ... A square football pitch has a perimeter of 400 meters.

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

2

Step-by-step explanation:

The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.

All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.

The side proportions are the same.

x/2.5 = 6/7.5

solve for x:

7.5x = 15

x = 2

Answer:

y = -3/8x -41/8

Step-by-step explanation:

Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.

Therefore the slope changes from 8/3 to -3/8.

Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).

The result is b = -41/8 so our new equation is:

y = -3/8x -41/8

Answer:

The surface area of the cylinder is about 954.56 square inches.

Step-by-step explanation:

The total surface area of a cylinder is given by the formula:

[tex]SA=2\pi r^2 + 2\pi rh[/tex]

Here, we are given that the radius is 8 inches and that the height is 11 inches. We are also using 3.14 for π. So, substitute:

[tex]SA\approx 2(3.14)(8)^2+2(3.14)(8)(11)[/tex]

Use a calculator:

[tex]SA\approx 954.56\text{ in}^2[/tex]

The surface area of the cylinder is about 954.56 square inches.

Answer:

15 commercials

Step-by-step explanation:

6 commercials --> 24 minute

x commercials --> 60 minute(1 hour)

x*24 = 6*60

clear x

x = (6*60)/24

x= 15

Answer:

x+5+\frac{1}{x-2}

X + 5 + 1/( x - 2)

Step-by-step explanation:

I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!

Answer:

50

Step-by-step explanation:

From the circle graph :

Salad sold :

Caesar = 70%

Garden = 16%

Taco = 14%

If 35 of the salad sold were Caesar ;

Then ; this means

70% = 35

Total salad sold %= (70+16+14)% = 100%

Let total sales = x

70% = 35

100% = x

Cross multiply :

70% * x = 100% * 35

0.7x = 35

x = 35 / 0.7

x = 50

Answer:

the first one its true

y of A greater than the y of B

Answer:

20 balls to each team

Step-by-step explanation:

If 5 boxes contains 2 dozens

And 2 dozens= 24

Multiply boxes by dozens of balls

5×24=120

Then to share, you divide it buy the number of teams

120÷6= 20 balls

Answer:

Step-by-step explanation:

la probabilidad es del 60%

Answer:

D

Step-by-step explanation:

From the given scatter plot, it is positive correlation.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

Interpretation of correlation

From the given graph,

The coordinates points are in increasing order.

Therefore, the correlation is positive.

To learn more about the scatter plot visit:

https://brainly.com/question/29231735.

#SPJ6

Answer:

i aint gon lie evolution and natural selection?

Step-by-step explanation:

Answer:

30 minutes to 120 minutes.

Step-by-step explanation:

Answer:

2 hrs=120 min

30:120=1:4

Step-by-step explanation:

ans is 1:4

marke brainliest plzzzzzzz

Answer:

Step-by-step explanation:

Answer:

$1080

Step-by-step explanation:

I think I am not sure

Answer:

4/5

Step-by-step explanation:

There are a total of 10 marbles. Out of those 10 marbles, 8 of them are NOT white. Therefore, the probability of getting a marble that is not white is 8/10 = 4/5.

The probability that a randomly drawn marble is not white is 4/5.

To find the probability that a randomly drawn marble is not white, we need to determine the number of non-white marbles and divide it by the total number of marbles.

In the given bag, there are 10 marbles in total, and 2 of them are white. Therefore, there are 10 - 2 = 8 non-white marbles.

The probability of drawing a non-white marble can be calculated as:

Probability = Number of non-white marbles / Total number of marbles

= 8 / 10

= 4 / 5

Therefore, the probability that a randomly drawn marble is not white is 4/5.

Learn more about the probability here:

brainly.com/question/11234923

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Step-by-step explanation:

Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

Answer:

ANSWER BELOW↓

Step-by-step explanation:

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication. We have seen several examples of factoring already. However, for this article, you should be especially familiar with taking common factors using the distributive property.

Answer:

[tex]{ \tt{ \frac{1}{3} = \frac{t}{6} }} \\ \\ { \tt{t = \frac{6}{3} }} \\ \\ { \bf{t = 2}} \\ { \tt{2 \: could \: replace \: t}}[/tex]

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°

Answer:

Option C. 3

Step-by-step explanation:

4 < 2x <=  6

x = 3

Answer:

diameter [d]=15cm

radius [r]=7.5cm

slant height be l

and

height be h.

lateral surface area of cone =

πrl=477cm²

l=477/(3.1416*7.5)

l=20.244

now

h=[tex]\sqrt{20.2²-(7.5/2)²}=20cm[/tex]

height=20cm.

LSA of cone = πrl = 477cm²

L = 477/(3.1416 × 7.5)

L = 20.244

Height (h) = √{20.2²-(7.5/2)²}

h = 20cm

Answer:

Step-by-step explanation:

Given the data :

Using 6 classes :

Class interval ____ Frequency

21 - 30 _________ 6

31 - 40 _________ 10

41 - 50 _________ 5

51 - 60 _________ 0

61 - 70 _________ 1

71 - 80 _________ 2

Answer:

[tex]y=2x+5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-3,-1) and (1,7)

[tex]m=\frac{7-(-1)}{1-(-3)}\\m=\frac{7+1}{1+3}\\m=\frac{8}{4}\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]7=2(1)+b\\7=2+b[/tex]

Subtract 2 from both sides to isolate b

[tex]7-2=2+b-2\\5=b[/tex]

Therefore, the y-intercept is 5. Plug this back into [tex]y=2x+b[/tex]:

[tex]y=2x+5[/tex]

I hope this helps!