a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant at the 1% level?

Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;

Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:

{1000, 1001, 1002, 1003, 1004,......, 2000}

So that:

i. 1000 converted to base 5, we have:

5  1000

5   200  r 0

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13000_{5}[/tex]

ii. 1001 converted to base 5, we have:

5  1001

5   200  r 1

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13001_{5}[/tex]

iii. 1002 converted to base 5, we have:

5  1002

5   200  r 2

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13002_{5}[/tex]

So then, the set in base 5 is:

{13000, 13001, 13002, 13003, 13004,......, 31000}

To determine the number whose digits have the least sum;

a. 13000 = 1 + 3 + 0 + 0 + 0 = 4

b. 13001 = 1 + 3 + 0 + 0 + 1 = 5

c. 13002  = 1 + 3 + 0 + 0 + 2 = 6

d. 13003 = 1 + 3 + 0 + 0 + 3 = 7

e. 13004 = 1 + 3 + 0 + 0 + 4 = 8

.        .        .      .    .       .           .

.        .        .      .    .       .           .

z. 31000 = 3 + 1 + 0 + 0 + 0 = 4

Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:

[tex]\frac{1000+1500+2000}{3}[/tex]  = 1500

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Answer:

I think its 1500

Step-by-step explanation:

1500

Answer:

Mike's sisters age is 5 years old

Step-by-step explanation:

Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old

Answer:

In bold below.

Step-by-step explanation:

Part 1A: 60 hours * $11.50.

Ashly's GMI is $690.00

Part 2A: To find out how much Ashly's income goes towards technology, we need to find out how much 10% of $690.00 is. To do that, multiply 690 * 0.1. You'll get $69.00.

$69.00 goes towards Ashly's technology.

Part 2B: To find out how much she spends on lunch, we must do the same as above, only replacing 0.1 with 0.02. 690.00 * 0.02 = 13.8

$13.80 goes towards Ashly's technology.

Part 2C: $13.80 + $69.00 = $82.80

$82.80 is Ashly's monthly deductions.

Part 3A: If Ashly's annual salary is $8,280, we divide that by 12 to see how much she gets per month.

 Ashly's GMI is $690.00

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

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Step-by-step explanation:

[tex] {x}^{6} - 9 = { ({x}^{3} })^{2} - {3}^{2} [/tex]

Answer:

(x^3)^2-3^2 , or b.

and its the diffrence of suqares.

Step-by-step explanation:

[tex]8 \times 835 = 6680[/tex]

Answer:

the answer will be 6680

Answer:

35/72

Step-by-step explanation:

Answer:

February: +10

March: -5

April: +50

May: -25

June: -20

Step-by-step explanation:

Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.

Answer:

25.5 divided by 100 =255.Then 255-50+60 =255-110=145 therefore x=145

you are welcome

regards

reedemk

Answer: B (x=1)

The x-axis shows all the zeros (solutions).

If you were trying to find the slope and the equation of the line, you would go y/x for the slope.

While, b is the y axis, which is 3 in this case.

And the slope is 3/1, which is rise over run (y/x)

Linear equations: y = mx+b

Quadratic equation: ax^{2}+bx+c

(Not going to go in much more depth)

The equation of this line is y = 3x + 1

Answer:

  f(x) = x^2

Step-by-step explanation:

Any quadratic (2nd-degree) function will have 0 as its third derivative.

  f(x) = ax² +bx +c

  f'(x) = 2ax +b

  f''(x) = 2a

  f'''(x) = 0

Perhaps the simplest such function is f(x) = x^2.

Step-by-step explanation:

1)

x⁴×x^a = x¹²

you know that you can add the exponents when multiplying terms with the same base value/variable ?

because that is what we are doing here to solve it :

x^(4 + a) = x¹²

therefore,

4 + a = 12

a = 8

2)

y^b / y⁵ = y²

similar to 1), but when we divide, we subtract the exponents.

y^(b - 5) = y²

b - 5 = 2

b = 7

3)

3^c = 1/27

27 = 3³

27×3^c = 1

3³×3^c = 1

3^(3 + c) = 1

now we need to remember : x⁰ = 1.

therefore, 3⁰ = 1

3^(3 + c) = 3⁰

3 + c = 0

c = -3

4)

(m³)² = m^d

aha !

now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.

m^(3×2) = m^d

3×2 = d

6 = d

5)

7⁰ = e

remember, x⁰ = 1, so also 7⁰ = 1.

therefore, e = 1.

6)

4^-2 × 4⁹ × 4^‐5 = 4^f

so, now we need apply what we just learned to a sequence of operations :

each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :

4^(-2 + 9 - 5) = 4^f

therefore,

f = -2 + 9 - 5 = 2

Answer:

just here 4 points

Step-by-step explanation:

Answer:

-311

Step-by-step explanation:

−425 = x − 114

=> x = -425 + 114

=> x = -311

Therefore, -311 is our answer.

Hoped this helped.

Answer:

x  =  − 2

Step-by-step explanation:

Answer:

y<x+1

Step-by-step explanation:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1

Step-by-step explanation:

As per linear equation, the required sum is [tex]\frac{2(a+4b)}{15}[/tex].

A linear expression is an expression where the variable has the highest power of 1.

Given  liner expression is:

[tex]\frac{a+b}{3}-\frac{a-b}{5}\\= \frac{5(a+b)-3(a-b)}{15}\\= \frac{5a+5b-3a+3b}{15}\\= \frac{2a+8b}{15}\\= \frac{2(a+4b)}{15}[/tex]

Therefore, the required sum is  [tex]\frac{2(a+4b)}{15}[/tex].

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Answer:

4900

Step-by-step explanation:

multiply all those numbers together

2x2x5x5x7x7 = 4900

Answer:

I have attached the answer below.

Step-by-step explanation:

The diagram which has red ink cannot take a perfect feeding path.

Hopefully this helps.

Answer:

Search it up

Step-by-step explanation:

hope you pass the test

Answer:

$26.50

Step-by-step explanation:

7.95/3=2.65

2.65*10=26.5

Answer:

$26.50

Step-by-step explanation:

If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.

1 cookie is 7.95/3 = 2.65.

Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.

10 cookies will cost $26.50.

Answer:

20000

Step-by-step explanation:

Answer: 30,000 feet

Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.

Answer: D 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

expand and simplify (x+3)²

(x+3)² =

x² + 9 + 2 × x × 3 =

x² + 9 + 6x

Answer:

x² + 6x + 9

Step-by-step explanation:

( x + 3 ) ²

( x + 3 ) ( x + 3 )

x ( x + 3 ) + 3 ( x + 3 )

x² + 3x + 3x + 9

x² + 6x + 9

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

(2,4)

Step-by-step explanation:

Answer:  

(2,4)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

B, (0,0)(3,2)

C, (1,5)(4,7)

D, (-2,-2)(4,2)

All of these ordered pairs have a slope of 2/3, by way of the slope formula.

The slope of option B, C and D are equal to 2/3.

The given slope is 2/3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

A) Using (0, 0) and (2, 3) we get slope as

Now, slope = (3-0)/(0-2)

=3/2

B) Using (0, 0) and (3, 2) we get slope as

Slope = (2-0)/(0-3)

= 2/3

C) Using (1, 5) and (4, 7) we get slope as

Slope = (7-5)/(4-1)

= 2/3

D) Using (-2, -2) and (4, 2) we get slope as

Slope =(2-(2))/(4-(-2))

= 4/6

= 2/3

E) Using (20, 30) and (-20, -30) we get slope as

Slope =(-30-30)/(-20-20)

= -60/(-40)

= 3/2

Therefore, the slope of option B, C and D are equal to 2/3.

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Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)