The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, most donations have come from relatively wealthy individuals; the average annual donor income in the most recent survey was right at $100,000. The foundation believes the average has now increased. A random sample of 200 current donors showed a mean annual income of $103,157 and a standard deviation of $27,498. To perform this study, we should form a null hypothesis stating that the average is

Answer:

Step one: say "5"

Step two: say "40"

Done.

Answer:

The third one and the last one:

x²+6x+9=25

(x+3)²=25

Step-by-step explanation:

If you need an explanation tell me in comments <3

(x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.

What is a quadratic equation?

A quadratic equation is an algebraic equation of 2nd degree usually in the form of ax² + bx + c = 0.

Given,

x² + 6x = 16

⇒ x² + 2 × 3 × x = 16

⇒ x² + 2 × 3 × x +9 = 16 + 9

⇒ (x)² + 2 × 3 × x +9 = 25

⇒ (x + 3)² = 25

⇒ x² + 6x + 9 = 25

Hence, (x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.

Learn more about quadratic equation here: https://brainly.com/question/17718371

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Answer:

1.) [tex]\left(x-3\right)\left(x+6\right)[/tex]

2.) [tex]\left(a-3\right)^2[/tex]

3.) [tex]=\left(t+8\right)\left(t-9\right)[/tex]

4.) [tex]=\left(b+7\right)^2[/tex]

Step-by-step explanation:

2.) [tex]=a^2-2a\cdot \:3+3^2[/tex], [tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex].

[tex]a=a,\:b=3[/tex]

[tex]=\left(a-3\right)^2[/tex]

3.) [tex]=\left(t^2+8t\right)+\left(-9t-72\right)[/tex][tex]=t\left(t+8\right)-9\left(t+8\right)[/tex], [tex]\mathrm{Factor\:out\:common\:term\:}t+8[/tex].

[tex]=\left(t+8\right)\left(t-9\right)[/tex]

Answer:

angle O = 36 degrees

angle N = 54 degrees

Step-by-step explanation:

90 degrees = angle O and N

2a + 18 + 5a + 9 = 90

7a + 27 = 90

7a = 63

a = 9

2(9) + 18 = 36 degrees

5(9) + 9 = 54 degrees

Answer:

(25x^2-1)

Step-by-step explanation:

I know the simplified form of (5x+1)(5x-1)=25x^2-1.

I know because I did the box method. So, I did 5x times 5x and got 25x^2. Then, I did 5x times 1 and got 5x. Next, I did -1 times 5x and got -5x. Next, I did -1 times 1 and got -1. Then, I took these terms I got in the box and put them together, and I got 25x^2+-5x+5x-1. I had to then simplify this equation. I added like terms.

In conclusion, the simplified form of (5x+1)(5x-1) is (25x^2-1).

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

30 + 4x=90

4x=60

x=15

Answer:

6.3 & -6.3

Step-by-step explanation:

6.3 is the same as -6.3, hope this helps

Answer:

-6.3 and 6.3

Step-by-step explanation:

-6.3 is same as 6.3 is absoulte value

Answer:

Slope= 1/2

y-intercept= -1

Step-by-step explanation:

So the formula that the equation is following is y=mx+b.

M stands for slope and b is the y-intercept.

Answer:

The first graph is not a function because it has two values at x = 3. Definition of a function is that it is a relation that assigns exactly one value for each value on its domain

Answer:

what? i need a table to answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

Solution :

It is given that we have a null and an alternative hypothesis. The hypothesis are :

[tex]$H_0: \mu = 240,000$[/tex]

[tex]$H_a : \mu < 240,000$[/tex]

We have to find if the cost of average home has decreased or not in this month.

So it is given that the test statics is -1.79, so the p value associated with the test statics is less than ( α ) 0.01

Therefore, we can conclude that the cost of the average house is less than $ 240,000.

Answer:

8.17307692308

Step-by-step explanation:

7,488 divided by 416 is 18 (:

Answer:

hi

Step-by-step explanation:

Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. 

Answer:

just upload the file

Step-by-step explanation:

Answer:

1:Add the x for the number of tbs 2: Add all the values together.

Step-by-step explanation:

Hope this helped!

Answer:

x=3

Explanation

2x+1=7

Step 1: Subtract 1 from both sides.

2x+1−1=7−1

2x=6

Step 2: Divide both sides by 2.

2x/2  =  6/2

x=3

plz mark me as brainliest

Answer:

radius = 1.4

Step-by-step explanation:

The formula for circumference is as follows:

[tex]C = d\pi[/tex]

or

[tex]C = 2r\pi[/tex]

However, these formulas are the same, because the diameter is equal to the radius times 2. I prefer to use the first (it gives you less values to work with).

Anyhow, We would substitute like this:

[tex]8.8 = d\pi[/tex]

We know that pi, is going to be equal to: 3.14159

So we work from there...

[tex]8.8=d(3.14159)\\2.8011=d[/tex]

Diameter divided by 2 would be the radius, and thats:

1.4006

or 1.4

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex]

[tex]\frac{a}{sin64}[/tex] = [tex]\frac{9.3}{sin31}[/tex] ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = [tex]\frac{9.3sin64}{sin31}[/tex] ≈ 16.23 ( to 2 decimal places )

then to find b , using

[tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

[tex]\frac{b}{sin85}[/tex] = [tex]\frac{9.3}{sin31}[/tex] ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = [tex]\frac{9.3sin85}{sin31}[/tex] ≈ 17.99 ( to 2 decimal places )

answer: i think i failed this part in class

Answer:

64 inches

Step-by-step explanation:

There are 12 inches in a foot

12 x 5 is 60

64 is greater then 60

Answer:

Owen has $71 and Ethan has $104

Step-by-step explanation:

Create a system of equations where o is how much money Owen has, and e is how much Ethan has

x + e = 175

e = x + 33

Solve by substitution by plugging in o + 33 in as e, in the first equation

o + e = 175

o + (o + 33) = 175

2o + 33 = 175

2o = 142

o = 71

So, Owen has $71 dollars

To find how much Ethan has, add 33 to this, since he has $33 more than Owen

71 + 33

= 104

So, Owen has $71 and Ethan has $104

Answer:

You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.

Answer:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

Step-by-step explanation:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

Answer:

90

Step-by-step explanation: