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olchik [2.2K]
3 years ago
15

A researcher is conducting an experiment to test a new vitamin supplement. The researcher has recruited 8

Mathematics
1 answer:
Tju [1.3M]3 years ago
4 0

Answer:

(C) 32

Step-by-step explanation:

This is a problem of Permutation and Combination, not probability.

This clarification is given because most questions like this are on Probability and Statistics.

The researcher has recruited 8  participants and must divide them into two groups of 4 people each.

So there's:

GROUP A - Placebo Group

GROUP B - Experimental Group

Since the experiment is on humans - distinct objects - they will have distinct identities. Assume the 8 participants are lined up according to identities 1,2,3,4,  5,6,7,8

[2+2+2+2  +2+2+2+2] × 2 = 16×2 = 32

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A cyclist travels 20 km per hour for 6 mins how much does he travel
-Dominant- [34]
v = \dfrac{s}{t} \iff s=v\cdot t = 20\mathrm{\frac{km}{h}}\cdot 6\;\mathrm{min} = 20\mathrm{\frac{km}{h}}\cdot \frac{1}{10}\,\mathrm{h} = 2\,\mathrm{km}
8 0
3 years ago
Guys, please for your help. Thanks.
yulyashka [42]

1 over 6. From staring at either one of the points, you will move up/down 1 unit and to the right/left 6 units.

5 0
3 years ago
Answer choices <br> 15.4<br> 16<br> Please help
Ksivusya [100]

Answer:  16 ft²

Step-by-step explanation:

use the following equation:

(1/2)bh

substitute in your values:

(1/2)(5)(6.4) = 16 ft²

5 0
3 years ago
Read 2 more answers
What is an equation of the line that is parallel to y=5x−7 and passes through (1, 11) ? Enter your equation in the box.
d1i1m1o1n [39]

ANSWER

y = 5x + 6

EXPLANATION

The equation of the given line is

y=5x-7

This line is in the slope -intercept form,

y = mx + c

where

m = 5

is the slope.

The line which is parallel to this line and passes through (1,11) also has slope

m = 5

Let the equation of this line be

y = mx + b

This implies

y = 5x + b

We substitute x=1 and y=11 to get

11 = 5(1) + b

b = 11 - 5 = 6

The required equation is

y = 5x + 6

6 0
3 years ago
The graph of a quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the function’s equ
Harrizon [31]
<h3>Answer: C) -1/2</h3>

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

Work Shown:

We will use the general vertex form y = a(x-h)^2+k

(h,k) is the vertex, and the 'a' value stretches or compresses the graph vertically

(h,k) = (-2,18) since the highest point is at (-2,18)

Use either root -8 or 4 to plug into the equation as well. I'll use -8

The root -8 means the point (-8,0) is an x intercept.

----------------

Plug the values mentioned into the equation below. Then solve for 'a'.

y = a(x-h)^2+k

y = a(x-(-2))^2+18 ... plug in (h,k) = (-2,18)

y = a(x+2)^2+18

0 = a(-8+2)^2+18 ... plug in (x,y) = (-8,0)

0 = a(-6)^2+18

0 = a*36+18

0 = 36a+18

36a+18 = 0

36a = -18 ... subtract 18 from both sides

a = -18/36 .... divide both sides by 36

a = (-1*18)/(2*18)

<h3>a = -1/2</h3>

---------------

Alternatively, you could use (x,y) = (4,0), instead of (x,y) = (-8,0), and you'll get the same 'a' value as well.  

7 0
3 years ago
Read 2 more answers
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