Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.

a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71

Answer:

The answer to the question is 603.186

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

For example, for one year:

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

Answer:

4y

Step-by-step explanation:

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

Answer:

1.70 of tax is paid

Step-by-step explanation:

34(1+0.05) = 35.7

35.7-34= 1.70

1 represents out 100%

do 5% in decimal form which is 0.05

Answer:

x=-5

y=-2

Step-by-step explanation:

equation 1 - equation 2

(2x-4y=-2) - (2x+3y=-16) = (-7y=14)

y=14/-7=-2

then substitute y=-2 into any equation

2x-4(-2)=-2

2x+8=-2

2x=-10

x=-10/2=-5

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Answer:

p = 63

Step-by-step explanation:

3Q = p - 21

transfer the -21 to the left as the value of Q. Since it was negative, when we transfer it to the left it will turn to poditve so,

3(21) = p

multiply 3 and 21 so 3 multiplied by 21 is equal to,

63 = p, then the answer is p = 63

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

Answer:

A -3

Step-by-step explanation:

-2 x -3 = 6

6 x -3 = -18

-18x -3 = 54

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...

r=[tex]\sqrt{804/\pi }[/tex]

r=[tex]\sqrt{255.9211}[/tex]

r=15.9975

Answer:

1. 8820.26 yds^2

2. 101.265 m^2

Step-by-step explanation:

For both problems you need to use the equation π*r^2 which is the area of a circle and where r is the radius of the circle. The radius is also equal to 1/2 the diameter so using this we can figure out the are of the first circle

For the second problem we have to find the area of the circle with and without the sidewalk around it and subtract them from each other

Answer:

The store owner has two of each color weights

Step-by-step explanation:

Answer:

x=±√(-66)

(there is no real solution)

Step-by-step explanation:

Answer:

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Step-by-step explanation:

jgjk

Answer:

D it should be D i had a similar question

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

❀ [tex] \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}[/tex]

⟼ [tex] \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}[/tex]

♨ [tex] \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ☄

☃ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

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Answer:

The missing number in the sequence is 20

Step-by-step explanation:

The difference between the numbers are as follows: 3,4,5,6,7

The missing number of the given sequence is 13.

The given sequence is,

2, 5, 9, 14, 27

We can see that the difference between each consecutive number is increasing.

The difference between 2 and 5 is 3,

The difference between 5 and 9 is 4,

The difference between 9 and 14 is 5,

And the difference between 14 and 27 is 13.

Therefore, it's possible that the next number in the sequence could have a difference of 14 or more.

So,

To determine the missing number,

We can look at the pattern of the differences between the numbers in the sequence.

Since the difference between 14 and 27 is 13,

We can assume that the difference between the missing number and 27 is at least 14.

Therefore, we can subtract 14 from 27 to get our missing number, which is 13.

To learn more about sequence visit:

brainly.com/question/12373434

#SPJ2

Answer:

[tex] \frac{1}{ {12}^{3} }[/tex]

Step-by-step explanation:

[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Answer:

f=2(x-1)(x+5)

Step-by-step explanation:

f = (2x^{3}+8x^{2}-10x)/2

f = x^{3}+4x^{2}-5x

factors of 5 are 1 and 5

f=2(x-1)(x+5)

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

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42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42