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Musya8 [376]
2 years ago
14

12 Over a period of several years in a sleep-therapy clinic, the average latency to fall asleep for adult males, age 20-30, has

been found to be 335 seconds. In a study of the effectiveness of hypnotic therapy, 30 males of the appropriate age are given the treatment and then their latency to fall asleep is measured.
The results are a mean latency of 283.7, with a variance of 5,756.26 seconds. Test the hypothesis that hypnotic therapy has no effect on sleep latency. Use an a level of .05 and a nondirectional test.
Mathematics
1 answer:
Volgvan2 years ago
8 0

Answer:

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xnbdjendnfjnxnrnxzkksvixibdbwbkchfjenz

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The graph below illustrates the linear function of how the total amount that a landscaper charges for a job changes depending on
liberstina [14]

First, given graph is very inaccurate. I suppose that you made net with pen.

a) The slope is the angle ( tan∡) between your graph and x axis.

The slope represent the level of the earnings growth.

b) According to the given graph y-intercept= 30$

Y-intercept represent starting amount of money.

c) If we accept that y=70 is connected with x=2 and y=30 with x=0

The  slope is S= (70-30)/2= 40/2=20

Linear equation for this function is

y= 20x+30

d) When we replace y=300$ in the equation we get

20x+30=300 => 20x=300-30 => 20x=270 => x=270/20=13.5h

x=13.5h

Good luck!!!



4 0
3 years ago
A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passe
docker41 [41]
The answer is B.$7.47.

Let's first calculate how much in total 75 shirts cost:
- first 19 (less than 20) cost $10:         19 * $10 = $190
- the next 30 cost $8:                         30 *  $8 = $240
- the rest (26 = 75 - 19 - 30) cost $5: 26 *  $5 = $130

So, in total 75 shirts cost $560:
19 * $10 + 30 * $8 + 21 * $5 = $190 + $240 + $130 = $560

Since 75 shirts are ordered, there must be 75 employees, so each employee must pay $7.47:
$565 ÷ 75 = $7.47
7 0
3 years ago
Read 2 more answers
Solve by factoring:<br>4x² - 8x=0​
AnnyKZ [126]

Answer:

Step-by-step explanation:

4x² - 8x= 0​

4x(x -2) = 0

: 4x = 0 or x - 2 = 0

4x = 0

Dividing by 4

x = 0/4

x = 0

And

x - 2 = 0

x = 2

5 0
3 years ago
Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496
coldgirl [10]

Answer:

(a) gcd(20, 12)=4

(b) gcd(100, 36)=4

(c) gcd(496,207 )=1

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>                                   Given integers </em>a, b<em>, find </em>d=gcd(a,b)<em />

Here is an outline of the steps:

  1. Let a=x, b=y.
  2. Given x, y, use the division algorithm to write x=yq+r.
  3. If r=0, stop and output y; this is the gcd of a, b.
  4. If r\neq 0, replace (x,y) by (y,r). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find gcd(20, 12) we apply the Euclidean algorithm:

20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(20, 12)=4.

(b) To find gcd(100, 36) we apply the Euclidean algorithm:

100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(100, 36)=4.

(c) To find gcd(496,207 ) we apply the Euclidean algorithm:

496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0

The process stops since we reached 0, and we obtain gcd(496,207 )=1.

3 0
2 years ago
What is the slope of a line that is perpendicular to the line represented by the equation 3x+4y=12
S_A_V [24]
Since x=8/3 is a vertical line,the slope is undefined,
7 0
3 years ago
Read 2 more answers
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