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salantis [7]
4 years ago
11

a researcher wishes to design a fully blocked experiment with groups of subjects representing every possible combination of 1 ex

planatory variable and 5 other variables for a total of 6 variables. how many blocks will there be in her experiment?
Mathematics
2 answers:
skad [1K]4 years ago
6 0

Answer: There are 64 blocks will be present in her experiment.

Step-by-step explanation:

Since we have given that

Number of explanatory variable = 1

Number of other variable = 5

Total number of variable = 6

Since there are two types of variable given.

so, the number of blocks in her experiment would be

2\times 2\times 2\times 2\times 2\times 2\\\\=2^6\\\\=64

Hence, there are 64 blocks will be present in her experiment.

lesantik [10]4 years ago
5 0
You have 6 variables with 2 levels each. Thus 2*2*2*2*2*2 or 2^6 or 64. 
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Maria, an experienced shipping clerk, can fill a certain order in 11 hours. Felipe, a new clerk, needs 13 hours to do the
ch4aika [34]

Answer:Maria rate = 1/13 job/hr

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Felipe rate = 1/16 job/hr

----

Together rate = 1/x job/h

Step-by-step explanation: rate + rate = Together rate

1/13 + 1/16 = 1/x

----

16x + 13x = 13*16

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29x = 13*16

x = 7.17 hrs = 7 hr 10 min 12 seconds (time to do the job together)

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Cheers,

Rubberduck100000.

8 0
3 years ago
Two forces, one of 45 pounds and the other 50 pounds, act on the same object. The angle between the forces is 33°. Find the magn
bearhunter [10]

Answer:

The magnitude of the resultant force is: 27.40 pounds

Step-by-step explanation:

Given

F_1 = 45

F_2 = 50

\theta = 33

Required

The magnitude of the resultant vector

To do this, we apply cosine formula

R^2 = F_1^2 + F_2^2 - 2 * F_1 * F_2 * \cos(\theta)

This gives:

R^2 = 45^2 + 50^2 - 2 * 45 * 50 * \cos(33)

R^2 = 2025+ 2500 - 4500* 0.8387

R^2 = 2025+ 2500 - 3774.15

R^2 = 750.85

Take square roots of both sides

R = \sqrt{750.85\\

R = 27.40

7 0
3 years ago
Ted's debt is 13 less than 1/2 of mike's debt. If we let y represent mike's debt, write an algebraic expression for Ted's debt
jeka57 [31]

Answer:

x = y - 13

Step-by-step explanation:

y = 1/2 of mike's debt

x = Ted's debt

x = y - 13

8 0
3 years ago
Solve for x in this inequality. Show all your work and<br> graph your solution.<br> 4(x-3)&lt;2x-4
maw [93]

Answer:

x<4

Step-by-step explanation:

To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.

First, expand 4(x-3).

This will obtain:

4x - 12 < 2x - 4

Now, shift x terms and integers on each side.

4x - 2x <  - 4 + 12

After simplifying, it will get:

2x < 8

Finally, we can solve for x.

x < 4

We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.

6 0
3 years ago
The change in the value of an account when given to the nearest dollar
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