A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
coordinates to select samples from two regions.
Suppose they examine a sample of 70 rocks from region A, which is composed of 15% igneous rock. Then they
examine a sample of 60 rocks from region B, which is composed of 20% igneous rock. Then they look at the
difference between the sample proportions (PA - B).
What are the mean and standard deviation of the sampling distribution of pA - PB?

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6

Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6

Multiply:                                                                                                             f(3) = -18 + 9 - 6

Add:                                                                                                                   f(3) = -9 - 6

Subtract:                                                                                                            f(3) = -15

Answer:

x=1,y=4

Step-by-step explanation:

x=1,y=4

Answer:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles.

Answer:

4 x’s for 1/4

2 x’s for 2/4

1 x for 3/4

2 x’s for 1

Step-by-step explanation:

Step-by-step explanation:

Supplementary angles add up to 180

Complementary angles add up to 90

you can check those angles by adding them up

121+59=180                 Supplementary

49+51=100                  Neither

25+65=90                  Complementary

Hope that helps :)

Step-by-step explanation:

Answer:

27/4

Step-by-step explanation:

Multiply both sides by 9/(-4).

9/−4 * −4/9 f = 9/−4 * −3

f = 27/4

Answer:

26%

Step-by-step explanation:

To find the percentage of a number, I find it's often helpful to first write it as a fraction:  [tex]\frac{104}{400}[/tex] .

Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]

.

Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:

[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]

As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.

Answer:

Both pools will have the same amount of water after 11 minutes and 32 seconds.

Step-by-step explanation:

Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:

Team Sunshine:

30 + (8X) = T

30 + 8x10 = 110

30 + 8x11 = 118

30 + 8x12 = 126

30 + 8x11.5 = 122

30 + 8x11.6 = 122.8

30 + 8x11.55 = 122.4

30 + 8x11.54 = 122.3

Team Breeze:

180 - (5X) = T

180 - 5x11 = 125

180 - 5x12 = 120

180 - 5x11.5 = 122.5

180 - 5x11.6 = 122

180 - 5x11.55 = 122.25

180 - 5x11.54 = 122.3

1 = 60

0.54 = X

0.54 x 60 = X

32.4

Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.

9514 1404 393

Answer:

  21.25

Step-by-step explanation:

The Pythagorean theorem tells you the length of hypotenuse c of a right triangle with legs 'a' and 'b' is ...

  c = √(a² +b²)

Here, that means the diagonal length d is ...

  d = √(17² +12.75²) = √(289 +162.5625) = √451.5625

  d = 21.25 . . . . length of the diagonal

Answer:

(6*y130896+1%315£&+)

(19+!re

Answer:

r=13

Step-by-step explanation:

81.64/3.14=26(diameter)

26/2=13(radius)

Answer:

Step-by-step explanation:

Root of forty rational root of forty times negative one irrational, root of forty times negative one rational, root of forty plus negative one irrational.

I believe this is right because rational should be positive and ir should be negative.......

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Khan Academy

9514 1404 393

Answer:

  $3633.96

Step-by-step explanation:

The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

monthly payment for principal P at annual rate r for t years.

  A = $672096(0.04/12)/(1 -(1 +0.04/12)^(-12·24)) = $3633.96

The monthly payment for the mortgage is $3633.96.

Answer:120 Degrees

Step-by-step explanation:

Angle M and N add up to 180 degrees so,

180= 11x-40 (Since 3x+8x would be 11x)

220=11x (Add 40 to both sides)

X=20 (divided 220 by 11)

Answer:

She has 14 feet left

Step-by-step explanation:

1 yard = 3 feet of fabric

8 yards x 3 feet/yard = 24 feet

24 - 10 = 14 feet

Answer: I believe the answer is 23k.

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

There are 3 squares between them.

Answer:

You cannot solve this, but you can try to simplify it: 16^x = −2x + −23/4

Answer:

1, 1, 3, 3

Step-by-step explanation:

For an even function, f(-x) = f(x).

So, f(-1) = f(1) = 1.

Similarly, the other three blanks are 1, 3, and 3, respectively.

Answer:

7

Step-by-step explanation:

37 People / 6 is 6.18 Rounded up is 7

Answer:

4

Step-by-step explanation:

16=2^4

48=2^4·3

36=2²·3²

GCF=2^2

=4

hope this helps :)

Answer:

Area: 272ft²

Volume = 82.6236447189ft³

Step-by-step explanation:

AREA

The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:

Area of base = area of square = L² = 8² = 16ft²

Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²

There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²

VOLUME

The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.

We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:

A²=B²+C²

16²=(8/2)²+h²

256=16+h²

h=√240

h=15.4919333848ft

Knowing h, we can find the volume:

Volume = (a²)(h/3)

Volume = (8²)(15.4919333848/3)

Volume = (16)(5.16397779493)

Volume = 82.6236447189ft³

Answer:

(-3,-5) so yeeeeeeeeeeeeeeeeeeeee

Answer:

A1/A2=b1/b2 is not equal to C1/c2