Please help I’ll mark you as brainliest if correct!

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

[tex]H_0: \mu = 1872[/tex]

And the alternate hypothesis is:

[tex]H_a: \mu > 1872[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

1872 is tested at the null hypothesis:

This means that [tex]\mu = 1872[/tex]

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that [tex]n = 40, X = 2031, \sigma = 373[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}[/tex]

[tex]z = 2.7[/tex]

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Answer:

560

Step-by-step explanation:

8000x.07

Answer:

3

Step-by-step explanation:

Answer:

102 x 5 = 100 x 5 = 500

                00 x 5 = 0

              + 2 x 5   =  10

-------------------------------------------

                         510

Answer:

Step-by-step explanation:

1)  

Area) =  area of square + area of triangle

square = 6*6 = 36  

area of equilateral triangle =   ([tex]\sqrt{3}[/tex] / 4) *a^2 = 31.1759

total area = 36 + 31.1759 = 67.1769[tex]in^{2}[/tex]

Perimeter) 6*5 = 30 "

2)

Area)  = upper triangle + lower square

6*[tex]\sqrt{2}[/tex] *sin(45) = 6 cm ( each side is 6)

upper triangle = 1/2*6*6 = 18

lower square = 6*6=36

total area = 38 + 18 = 56 [tex]cm^{2}[/tex]

perimeter = 4*6+6*[tex]\sqrt{2}[/tex] = 32.4852 cm

3)

Area) = left triangle + right rectangle

left triangle = 1/2*3*4   = 6    ( this is the famous 3,4,5 triangle )

rectangle = 8*3 = 24

total area = 24+6=30 [tex]ft^{2}[/tex]

perimeter = 8+5+3+8+3= 27'

9514 1404 393

Answer:

Step-by-step explanation:

1. The figure can be decomposed into a square and an equilateral triangle. Both have the same side length: 6 in. For an equilateral triangle of side length s, the area is ...

  A = (√3)/4·s²

For a square with side length s, the area is ...

  A = s²

The total of the two areas is ...

  A = ((√3)/4 + 1)s² ≈ 1.433013×(6 in)²

  A ≈ 51.59 in²

__

The perimeter is the sum of the 5 equal side lengths:

  P = 5(6 in)

  P = 30 in

__

2. The hypotenuse of the isosceles right triangle at the top of the figure tells you the side length of the triangle is (6√2)/√2 = 6 cm. The area of the triangle is half that of the square below it, so the total area is ...

  A = (1 +1/2)(6 cm)²

  A = 54 cm²

__

The perimeter is the equivalent of 4 sides of 6 cm and one of 6√2 cm, so is ...

  P = (4 +√2)(6 cm)

  P ≈ 32.49 cm

__

3. The triangle at the left end of the figure has a hypotenuse of 5 and a height of 3. It is recognizable as a 3-4-5 right triangle, so the bottom leg of it is 4 ft long. That makes the bottom side of the trapezoid have a length of 8+4 = 12 ft.

The area of the trapezoid is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(12 ft +8 ft)(3 ft)

  A = 30 ft²

__

The perimeter is the sum of the side lengths. Starting at left and working clockwise, that sum is ...

  P = (5 + 8 + 3 + 12) ft

  P = 28 ft

Answer:

1 + 1 - 1 + 1 - 0 x 0

Answer:

-3.5 < -3[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Convert 1/4 into a decimal (.25)

-3 1/4 = -3.25

-3.5 < -3.25

Answer:

C

Step-by-step explanation:

180 - 55 = 125

Why 180?

Because 180 is a fixed degree for one straight line

Answer:

Answer D) B, C, and D

Step-by-step explanation:

Point D is 2 and point B is -2, meaning they are opposites of each other. Point C is 0, which is it's own opposite

Step-by-step explanation:

too long

Answer:

do you have a ilnk i cant understand

Step-by-step explanation:

Answer:

338

Step-by-step explanation:

I think

9514 1404 393

Answer:

  (a)  Jennifer’s graph is vertically shifted from Matt’s graph.

  neither graph has a maximum

Step-by-step explanation:

Jennifer's equation can be put into vertex form as ...

  f(x) = 2(x^2 +2x +1) -2

  f(x) = 2(x +1)^2 -2 . . . . . . vertex at (-1, -2)

Compared to Matt's graph, Jennifer's will be shifted down 2 units.

__

Both graphs open upward, so the vertices are minimums. Neither graph has a vertex that is a maximum. (The vertex on Matt's graph is the maximum of the two vertices.)

Answer:

Compare the graphs that Jennifer and Matt drew by completing the statements.

* )     Jennifer’s graph is vertically shifted  

2 units down

from Matt’s graph.

** )   Jennifer’s graph is horizontally shifted  

0 units left or right

 from Matt’s graph.

*** )   Jennifer’s graph is  

the same shape as

 Matt’s graph.

**** )   Which graph has a vertex that is a maximum?

Neither Jennifer’s nor Matt’s

Step-by-step explanation:

CORRECT on EDGE November 2021

Answer:

C

Step-by-step explanation:

divide 14 by 4 to solve it, you get 3.5 or 3 1/2

Answer:

68

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Answer:

10 hours and 30 minutes.

Step-by-step explanation:

Hope it helps

Answer:

B.

Step-by-step explanation:

Center is the point that does not change and that point is A. To find the scale factor you just divide the translated length by the original, in this case, 8÷2 which gives a scale factor of 4.

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

Anytime you divide fractions by whole numbers, remember this:

Same, change, reciprocal (flip)

In the equation:

3/4 / 12

KEEP 3/4 as it is.

CHANGE the division sign to a multiplication sign.

FLIP 12/1 to 1/12.

The final equation: 3/4 x 1/12

3/4 x 1/12 = 3/48

3/48 simplified: 1/16

Therefore, 3/4 / 12 = 1/16

Step-by-step explanation:

2/30 = .07 = 7%

2 is number of kids who studied and failed 30 is the kids on the whole class

Answer:

3/2

Step-by-step explanation:

Truthfully, you only need two points for a linear equation, so I will only use two.

(-5, 0)

(-3, 3)

I will use the skeleton method to find the slope

((0) - (3))/((-5) - (-3)) -> -3/-2

The slope is 3/2

Answer:

Area of sector of a circle = 28.26 meter²

Step-by-step explanation:

Given:

Side of cube = 12 meter

One white section = sector of a circle

Find:

Area of one white section

Computation:

Radius of circle = Side of cube / 2

Radius of circle = 12 / 2

Radius of circle = 6 meter

One white section = sector of a circle

Area of sector of a circle = [θ/360][π][r]²

Area of sector of a circle = [90/360][22/7][6]²

Area of sector of a circle = [0.25][3.14][36]

Area of sector of a circle = 28.26 meter²

Answer:

40/100

Step-by-step explanation:

4/10 can be made into an equivalent fraction by multiplying each number by 10. This is because we need to change the denominator into 100 and 10x10=100.

10(4/10)=40/100

40/100 is the answer

Hope this helps!

Answer:

Step-by-step explanation:

Answer is A i ran it through my phone

Answer:

A) 20%.

B) 26.66%.

C)  40%.

Step-by-step explanation:

Since at the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music, and of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical, to determine the empirical probability that the next person entering the store favors (a) rock music, (b) country music, and (c) something other then rock, country, or classical music, the following calculation must be performed:

A)

60 = 100

12 = X

12 x 100/60 = X

1200/60 = X

20 = X

Therefore, the probability that the next person favors rock music is 20%.

B)

60 = 100

16 = X

16 x 100/60 = X

1600/60 = X

26.66 = X

Therefore, the probability that the next person favors country music is 26.66%.

C)

60 = 100

24 = X

24 x 100 / 60 = X

2400 / 60 = X

40 = X

Therefore, the probability that the next person favors another type of music is 40%.

Answer:

7 quarts

Step-by-step explanation:

16 fl oz = 2 cups. 14 people went on the ride which means there were 28 cups drinken in all. 28/4 = 7

Answer:

73,000

Step-by-step explanation:

1458*50=72000

Answer:

73,000

Step-by-step explanation: