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Step-by-step explanation:

=3^2- 2×3×i + i^2

=9- 6i + i^2

Answer:

Hence, since z ( - 0.4 ) is greater than ( -1.65 );

we reject H₀, Null hypothesis,

Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program.

Step-by-step explanation:

Given the data in the question;

Let p = 50% = 0.5

Hypothesis;

Null hypothesis            H₀ : p ≥ 0.5

Alternative hypothesis H₁ : p < 0.5

x = 48

sample size n = 100

sample proportion p" = x / n = 48 / 100 = 0.48

significance value = 0.5

[tex]Z_\alpha[/tex] = -1.65

Test Statistics;

z = (p" - p) / √( p( 1 - p ) / n )

we substitute

z = (0.48 - 0.5) / √( 0.5( 1 - 0.5 ) / 100)

z = -0.02 / √( 0.25 / 100 )

z = -0.02 / √0.0025

z = -0.02 / 0.05

z = -0.4

Hence, since z ( - 0.4 ) is greater than ( -1.65 );

we reject H₀, Null hypothesis,

Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program

Answer:

3.5

Step-by-step explanation:

add the two 5 and then subtract the perimeter which is 24 , so 24-10 is 14 then divide it by 4 for the missing sides and u get 3.5

The value of x in the given hexagon is 3.5 m.

Perimeter of Hexagon is equal to sum of all sides.

Here, Two sides are 5 m long

and remains 4 sides have length x m.

Perimeter = Sum of all sides

           24 = 2 X 5 + 4x

           24 = 10 + 4x

            4x = 24 -10

            4x = 14

            x = 14/4

            x = 3.5 m

Thus, the value of x in the given hexagon is 3.5 m.

Learn more about Perimeter from:

https://brainly.com/question/6465134

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Answer:

D

Step-by-step explanation:

2f(x+1)-0 = 2f(x+1). The lowest point of the function is (1, 0), which matches up with the equation. No other equation has this coordinate as the lowest point, therefore it can only be D

Answer:       1.185921/3

Step-by-step explanation:

Answer:

1/3 x 1/3 x 1/3 x 1/3 = 1/81

Step-by-step explanation:

You are multiply 1/3 by itself 4 times since it is to the power of 4.

Answer:

m= 13/7

Step-by-step explanation:

(-5, 2) , (-12, -11)

Slope(m)

m= (y2-y1)/(x2-x1)

m= (-11 - 2)/(-12 + 5)

m= (-13)/(-7)

m= 13/7

Answer:

It's 35, I don't think you need an explanation but if you do ask!

Answer:

8.75

Step-by-step explanation:

( 4×8) +3 = 35/4= 8.75

Answer:

8.75

Step-by-step explanation:

I think sorry that's only i know

===================================================

Explanation:

Use the midpoint formula to find the midpoint of -10 and -4

A = -10 = left endpoint

B = -4 = right endpoint

C = midpoint of A and B

C = (A+B)/2

C = (-10+(-4))/2

C = -14/2

C = -7

The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).

Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:

The blue dot is located at -19

Answer:

A. 648

Step-by-step explanation:

(648÷3) = 216

(648÷6) = 108

(648÷9) = 72

Answer:

12x

Step-by-step explanation:

Combine Like Terms

10x + 2x = 12x

Answer:

C) [tex]400\pi[/tex]

Step-by-step explanation:

The formula for area is

A=pi * radius ^2

If the diameter is 40, the radius is 20

Therefore

[tex]A=\pi 20^{2} \\A=\pi 400[/tex]

Answer:

,

Step-by-step explanation:

Answer:

11/9 and 3/5

Step-by-step explanation:

1st equation:  3n/5 = 11/15

multiply each side by 5/3 to get:

n = 55/45 or 11/9

2nd equation:  11n/9 = 11/15

multiply each side by 9/11 to get:

n = 99/165 which reduces to 3/5

Answer: 5

Step-by-step explanation:

Smh

Answer:

65

Step-by-step explanation:

y = mx + b

b is the y-intercept

y = 5.2h + 65

65 is the y-intercept

Answer:

C

Step-by-step explanation:

Answer:

D should be the right answer

Step-by-step explanation:

for the other choices the grammar doesn't sound quite right to me

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )

6 × cos40° = x , then

x ≈ 4.6 ( to 1 dec. place ) → D

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and paste the above on to your computer for future reference

n= Hyp

m= adj

8 = Opp

∠=50°

sin(50) = 8/n

n = 8/sin(50)

n = 10.44325

n= 10.4 ( to nearest 10th)

tan(50) =  8 / m

m = 8 / tan(50)

m = 6.712797

m = 6.7 ( to nearest 10th )

:)  

Answer:

8.568cm

Step-by-step explanation:

IF Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater, his distance from home to the theatre is gotten using the pythagoras theorem as shown;

d² = 23² + 10²

d² = 529 + 100

d² = 629

d = √629

d = 8.568

Hence the required distance is 8.568cm

Answer: 210

Step-by-step explanation: the correct answer on edge2020

Answer:

the domain is (-inf,inf)

Step-by-step explanation:

inf = infinity

Answer:

(0-2)

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

A horizontal line has a slope of zero

Using the formula

m = (y2-y1)/(x2-x1)

    = (1-1)/(2 - -2)

    = 0/(2+2)

    = 0/4