The prices of houses in the US are strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. A real estate agent takes a random sample of 10 houses and records the mean price. What is the shape of the distribution of the sample mean for all possible random samples of size 10 from this population?

Answer:

-x+6< 5

there is a line under the less than symbol

Step-by-step explanation:

The mathematical expression is;

⇒ - x + 6 ≤ 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The algebraic expression is,

''The sum of the opposite of a number and six is less than or equal to

five.​''

Now,

Let a number = x

The, The opposite of a number = - x

So, We can formulate;

⇒ - x + 6 ≤ 5

Thus, The mathematical expression is;

⇒ - x + 6 ≤ 5

Learn more about the inequality visit:

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Answer:

(-,+)

Step-by-step explanation:

Q2 is on the top left, with answer in form of (x,y). Top right is Q1, bottom left is Q3, and bottom right is Q4.

Answer:

A) 3 x 6 = 18 in^2

B) 11 x 8 x 0.5 = 44 in^2

C) 18 + 44 = 62 in^2

Answer:

D. 8 cm

Step-by-step explanation:

Reference angle = 60°

Opposite side = BC = 8√3

Adjacent side = AC = ?

Thus:

Tan (60) = opp/adj

Tan (60) = (8√3)/AC

AC*Tan(60) = 8√3

Divide both sides by tan (60)

AC = (8√3)/Tan(60)

AC = (8√3)/√3 (tan 60 = √3)

AC = 8 cm

Answer:

-0.3048106211

Answer:20

Step-by-step explanation: If you have a calculator its easy

Answer:

28.5% or you can divide to get your answer

Step-by-step explanation:

so first all you have to do is figure out what 2/7 Is, 2/7= 28.5%

Answer:

The exterior angles of a triangle will always add up to be 360. Since there are 2 angles 100 and 135, that's a total of 235. You would then subtract 360 - 235 which is 125.

y = 125

Answer:

Rs 57750

Step-by-step explanation:

width =5 m

length of first parallel road 70 m

area of first road 70×5=350 sq.m

length of second road 45 m

area of second road =45×5=225 sq.m

area of the common part of cross road with 5 m width that lies at the

center of the park 5×5 = 225 sq.m

area of roads = area of first road +area of second cross road−common area

=(350+225)−25

=575−25

=550sqm

​

cost of the construction per sq.m =Rs.105

total cost =550×105=Rs 57750

Answer:

Step-by-step explanation:

a+s=14

a=14-s

a+8s=56, using a from above in this equation gives

14-s+8s=56

14+7s=56

7s=42

s=6

a=14-s

a=14-6=8

So student tickets cost $6 and adult tickets cost $8.

Answer:

20

Step-by-step explanation:

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Find x

Since both shapes are similar, then:

[tex]LM : KN = RV : SP[/tex]

This gives:

[tex]4x + 4 : 7x - 9 = 48 : 60[/tex]

As fraction:

[tex]\frac{4x + 4 }{ 7x - 9} = \frac{48 }{ 60}[/tex]

Simplify:

[tex]\frac{4x + 4 }{ 7x - 9} = \frac{4 }{ 5}[/tex]

Cross Multiply:

[tex]5(4x + 4) = 4(7x - 9)[/tex]

[tex]20x + 20 = 28x - 36[/tex]

Collect Like Terms

[tex]28x - 20x = 20 + 36[/tex]

[tex]8x = 56[/tex]

[tex]x = 7[/tex]

Answer:

Step-by-step explanation:

When you look at the equation, you can tell that it's asking for the difference of a number and 32. Add together 65 and 32 to get 97.

Answer:

26.4594

Step-by-step explanation:

I mean im not sure i can teach you addition

Answer/Step-by-step explanation:

Recall: SOHCAHTOA

1. Reference angle = 70°

Adjacent side = x

Hypotenuse = 6 cm

Apply CAH. Thus,

Cos 70 = adj/hyp

Cos 70 = x/6

6 × cos 70 = x

2.05 = x

x = 2.05 cm

2. Reference angle = 45°

Adjacent side = x

Hypotenuse = 1.3 m

Applying CAH, we would have the following ratio:

Cos 45 = adj/hyp

Cos 45 = x/1.3

1.3 × cos 45 = x

0.92 = x

x = 0.92 m

3. The who diagram is not shown well. Some parts are missing, however you can still solve the problem just the same way we solved problem 1 and 2.

Answer:

a (6,-3)

b (9,0)

c (5,1)

Step-by-step explanation:

Answer:

a. 7% probability that the selected individual owns shares in the balanced fund.

b. 31% probability that the individual owns shares in a bond fund.

c. 58% probability that the selected individual does not own shares in a stock fund

Step-by-step explanation:

a. What is the probability that the selected individual owns shares in the balanced fund?

7% of the individuals owns shares in the balanced fund, so 7% probability that the selected individual owns shares in the balanced fund.

b. What is the probability that the individual owns shares in a bond fund?

Bond funds (short, intermediate, and long-term):

15%(short-term) + 11%(intermediate-term) + 5%(long-term)

15%+11%+5% = 31%

31% probability that the individual owns shares in a bond fund.

c. What is the probability that the selected individual does not own shares in a stock fund?

Anything but moderate and high risk stock%.

The sum of all probabilities is 100%.

18% + 24% = 42% own stock fund.

100 - 42 = 58%

58% probability that the selected individual does not own shares in a stock fund

Answer: -4≤x≤6 (3rd option)

Step-by-step explanation:

Domain basically means the farthest x values going left and right on a graph. in this case x could be between -4 and 6 as well as equal to both -4 and 6

Answer: .5%

Step-by-step explanation: 4/804 reduces to 1/201, which is 0.5%

Answer:

y=-3x+7

Step-by-step explanation:

m=gradient=-3

Answer:

I think its flat sorry if it's wrong

Answer:

so the equation is y=-2x-4

Step-by-step explanation:

sub the points in the equation to find the y-intercept

y=x(-2)+b

0=-2(-2)+b

0=4+b

0-4=b

-4=b

Answer:

Division

Step-by-step explanation:

You divide f by x and since you have to do the same thing you did to f on the other side you divide zx by x which also cancels out x on both sides. which would leave you with f = z + 7. (I'm sorry if i'm wrong)

Answer:

16

Step-by-step explanation:

[tex](\frac{2}{3} )*24=16[/tex]

Answer:

75% = 0.75

Step-by-step explanation:

75% ÷ 100 = 0.75

Answer:

.75

Step-by-step explanation:

75.% you move the the point 2 spaces to the front and get .75

Answer:

[tex]\boxed{\textsf{ The number of children is \textbf{24150}.}}[/tex]

Step-by-step explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

[tex]\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% . [/tex]

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

[tex]\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}[/tex]

[tex]\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}[/tex]

[tex]\rule{200}2[/tex]

The percentage of children = 15% :-

[tex]\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}[/tex]

Answer:

one tenths and one thousandths

Step-by-step explanation:

Answer:

[tex]468 {in}^{2} [/tex]

Step-by-step explanation:

see attached image, surface area is the area of each surface added together