You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 40%. With H1 : p > 40% you obtain a test statistic of z = 1.574. Find the p-value accurate to 4 decimal places.

Answer:

CI 90 %  =  [  0,165  ;  0,235 ]

Lower limit     0,165

upper limit      0,235

Step-by-step explanation:

Sample information:

sample size    n  =  225

number of dissatisfied  individuals   x  =  45

p = 45/225

p = 0,2    and  q =  1 -  p   q  =  1  -  0,2   q  =  0,8

p*n = 0,2*225   =  45    and   q*n   =  0,8*225  =  180

p*n  and q*n  big enough to use the approximation of binomial distribution to normal distribution

90 % of Confidence Interval   then a significance level is  α  = 10%

α  =  0,1 in z table we get z(c) for that significance level

z(c) = 1,28

CI 90 %   =  [  p  ±  z(c)*√(p*q)/n ]

z(c) * √(p*q)/n    =  1,28 *  √ ( 0,2*0,8)/225

z(c) * √(p*q)/n    =  1,28 * 0,027

z(c) * √(p*q)/n    =  0,035

CI 90 %  =  [  0,2  ±  0,035 ]

CI 90 %  =  [  0,165  ;  0,235 ]

Lower limit     0,165

upper limit      0,235

So, its more like this:

Using the polar form, a complex number with modulus r and argument θ may be written

z = r(cos 0 + j sin θ)

It follows immediately from Euler’s relations that we can also write this complex number in

exponential form as :

z = [tex]re^{j0}[/tex]

When using this form you should ensure that all angles are measured in radians and not degrees.

The exponential form of a complex number is in widespread use in engineering and science. Since z = r(cosθ + isinθ) and since eiθ = cosθ + isinθ we therefore obtain another way in which to denote a complex number: z = reiθ, called the exponential form.

I'm leaning towards the answer choices A. and C.

But I'm sure it's A because of the two, C has an x. That's the only difference they have.

Here's another example,

Let z=x+iy, its exponential form comes from identifying it as the point (x,y) in the (Argand) plane. This basically amounts to writing it in what would be polar form in the real plane. Writing it as:

z =reiθ

. If you graph the point (x,y) and treat it as a vector its easy to see that r=|z| and θ=tan−1(yx).

For purely real numbers, they are already in exponential form since they are equal to their modulus and θ=0.

Also, you can write:

Re(z)=z+z¯2

if you want to write it purely in terms of z. Both of your numbers are purely real and thus they are already in exponential form. I suppose if you wanted to be strict about it you could write it as:

|1−z|=|1−z|e0i

Answer:

A and C

Step-by-step explanation:

Put the points on a graph and determine if they are perpendicular.

They are, in fact, perpendicular.

Answer:

The best answer is of Keira's.

Step-by-step explanation:

The full question is as follows :

Given - Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor.

This is what they said:

Magda : '' I think it will roll in circles.''

Soledad : '' I think it will curve for a bit and then straighten out.''

Allen : '' I think it will roll out in one big curve.''

Keira : '' I think it will roll in a straight line,''

Rafael : '' I think it will zigzag for a little while.''

To find - Which friend do you most agree with ?

Proof -

The best answer is Keira's.

The marble having the track will travel in a straight line.

The behavior is true for all objects.

If no outside force act on an object, the object will travel in a straight line at a constant speed.

When the marble leaves the end of the track, it is no longer in contact with the walls of the track.

That is , the marble has no longer a center-pushing force.

According to Newton's First law, an object remains at rest or in uniform motion in a straight line unless acted upon by an external force.

Since, there is no longer a center-pushing force so the marble rolls off the end of the track in a straight line path across the floor.

Answer:

1: 62

2: 118

3: 62

4: 118

Step-by-step explanation:

1 and 3 are opposite angles so they have the same measure. 2 and 1 are adjacent angles on a linear plane. since a line is 180 degrees and we know that one of the angles on this plane is 62, that means that angle 2 must be 180 - 62 which 118 degrees

Answer:

it is 10%

Step-by-step explanation:

60 - 50 = 10

Answer:

4x + 8x = 180

12x = 180

x = 15

give the question and I will try if I couldn't srry

Answer:

The answer is B brainliest?

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex]  [tex]\frac{10}{9}[/tex]

Step-by-step explanation:

a reciprocal is a number that when multiplied by a given number gives 1 as  product.

16 * x = 1

x = 1/16

9/10 * x = 1

x = 10/9

Answer:

Step-by-step explanation:

Very interesting problem. Be thankful it is not a six sided dice.

Part A

1  1

1  2

1  3

1  4

2  1

2  2

2  3

2  4

3  1

3  2

3  3

3  4

4  1

4  2

4  3

4 4

Part B

There are 16 possible out comes

1   4

4  1

2  3

3  2

4 out of the 16 outcomes are possible

P(5) = 4/16 = 0.25

Part C

The theoretical out come would be 4 times

4/16 = 0.25

On a hundred rolls, you would expect to get 25 sets of doubles.

Answer:

The correct answers are:

a.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

b.

4 possible outcomes!

c.

25 sets!

Step-by-step explanation:

a.

Try making a probability by using the counting principle method.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

These numbers are the possible outcomes. Each 2 numbers stand for 1 outcome.

b.

16 possible outcomes

1   4    4  1    2  3    3  2

4/16 possible

P(5) = 4/16 = 0.25

c.

The theoretical outcome = 4 times

4/16 = 0.25

25 sets of rolls are expected to be rolled on the same number per 100 rolls.

I hope this helps! Have a good day ;)

Please mark this as brainliest please! I would appreciate it! :)

Answer:

Step-by-step explanation:

 40% + 35 % = 80 %    so 20% are dated after 1980

20% is .20 in decimal form

.20 (1600) = 320 coins dated after 1980

Answer:

mean

Step-by-step explanation:

Answer:

A. 91

Step-by-step explanation:

Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180

Hope this helps. here are free cookies --->

Hi there! Solving the absolute value equation is like solving a quadratic equation.

[tex] \large{ |x| = a \longrightarrow x = \pm a}[/tex]

[tex] \large{ |x| = \begin{cases} x \: \: \: (x \geqslant 0) \\ - x \: \: \: (x < 0) \end{cases}}[/tex]

From the absolute equation:

[tex] \large{ |4q + 12| = 4}[/tex]

Cancel the absolute symbol and write plus-minus of 4.

[tex] \large{4q + 12 = \pm 4}[/tex]

Solve the equation for q-term.

[tex] \large{4q = \begin{cases} 4 - 12 \\ - 4 - 12 \end{cases}} \\ \large{4q = \begin{cases} - 8 \\ - 16 \end{cases}} \\ \large{q = \begin{cases} - \frac{8}{4} \\ - \frac{16}{4} \end{cases}} \\ \large{q = \begin{cases} - 2 \\ - 4 \end{cases}}[/tex]

Hence, the value of q are -2,-4

Answer

Answer:

The error made is that the graph of [tex]y=x^{2} +3[/tex] is a vertical translation up by 3, instead of down.

Step-by-step explanation:

Exponential functions, when they are graphed, use the function [tex]f(x)=a(x-h)^{2} +k[/tex].

In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, [tex]y=x^{2}[/tex]. So, the translation is actually 3 units up compared to the graph of [tex]y=x^{2}[/tex].

Hope this helps and have an amazing day!! ❤

Answer:

26.14

Step-by-step explanation:

For the triangles: 3*4=12

For the circle: 28.27/2=14.135

12+14.135=26.135

~26.14

Answer:

Step-by-step explanation:

Estimate the fraction part of the number.

We can estimate the fraction part as 1/2 since its greater than 1/4.

The number becomes 3 1/2.

Best choice is C

Answer:

11/40>10/40=1/4 is a part of ½

so

best estimate is 3 ½.

Answer:

19.62 yards

Step-by-step explanation:

18 x 1.09 = 19.62

Answer:

Step-by-step explanation:

question

Answer:

the tank at the pet store

Step-by-step explanation:

5x4x2 = 40

35<40

Answer:

range: {15, 11, 7, -3, -7}

Step-by-step explanation:

when x = -4, y = 15

when x = 2, y = 11

when x = 0, y = 7

when x = 5, y = -3

when x = 7, y = -7

Answer: there’s no slope?

Step-by-step explanation: confused

Answer:ya where the slope at

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

y = 3.5X - 6921.2

Step-by-step explanation:

Given the data :

X :

1990

1992

1994

1996

1996

Y :

45

51

57

61

75

Using an online regression calculator ; the regression model obtained is : y = 3.5X - 6921.2

Where ; slope = 3.5 ; intercept = - 6921.2

Answer:

x = 3

Step-by-step explanation:

2x + 12 = 18

The variable is "x" and to find the value of x we must get rid of everything on the left side of the equation.

We can easily do this by using inverse operations

To get rid of the 12, we subtract 12, because in the expression its adding and the inverse of addition is subtraction.

But remember whatever we do to one side we have to do to the other, so we subtract 12 from each side

12 - 12 cancels out

18 - 12 = 6

we now have 2x = 6

now we want to get rid of the 2

2x is the same as 2 times x which is multiplication

The inverse of multiplication is division, so to get rid of the 2 we divide each side by 2

2x / 2 = x

6 / 2 = 3

we're left with x = 3

Answer:

4/5

Step-by-step explanation:

Given :

And we need to find the value of sinZ .

We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,

[tex]:\implies[/tex] sinZ = p/h

[tex]:\implies[/tex] sin Z = 32/40

[tex]:\implies[/tex] sin Z = 4/5

Hence the renquired answer is 4/5.

Answer:

2/1x7/6=14/6=7/3

Step-by-step explanation:

Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.

‘Then simplify 14/6 to 7/3

Answer:

I wish I can read all the text

Answer:

Quadrant 2

Step-by-step explanation:

(-3,3) when plotted on a graph fits into quadrant 2!