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marta [7]
3 years ago
10

The _______________ separates the region of rejection from the region of non rejection.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

Critical Value

Step-by-step explanation:

The critical value separates the region of rejection from the region of non rejection.

We define critical values as:

  • Critical value helps us to give the decision rule for the rejection or acceptance of null hypothesis.
  • Critical value separates the acceptance region from the rejection region.
  • These are referred to as cut-off values that define regions where the test statistic is unlikely to lie.
  • The critical value depends on the kind of test being performed and the significance level.

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A town has a population of 8000 and grows at 3% every year. To the nearest tenth of a year, how long will it be until the popula
Alexxx [7]

Answer:

It will take approximately 34 years

Step-by-step explanation:

If a town population is 8000 and grows 3% annually.

How long will it take to reach 16300

growth is 16300 - 8000 = 8300

using simple interest formula

SI = (P × r × t)/100

8300 = (8000 × 3 × t)100

8300= (80 × 3)t

8300 = 240t

t = 8300/240

t ≈ 34 years to the nearest tenth

8 0
3 years ago
What is the solution to the system of equations?<br><br> {2x+3y=23<br> 4x−5y=13
Sliva [168]
The answer is (7, 3)
3 0
3 years ago
3. Solve the following application of a system of linear equations.
zhuklara [117]

Answer:

Equations:

y =  14 + 9 x --- Cindy

y = 10 x --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

Existing\ Flashcards = 14

Additional = 9 per minute

Total number of flashcards (y) in x minutes is:

y =  Existing\ Flashcards + Additional * x

y =  14 + 9 * x

y =  14 + 9 x

Ruben:

Rate = 10 per minute

Total number of flashcards (y) in x minutes is:

y = Rate * x

y = 10 * x

y = 10 x

Solution to Equations:

Time they have the same amount.

To do this, we equate both expressions

i.e.

10x = 14 + 9x

Collect Like Terms

10x - 9x = 14

x = 14

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

y = 10 x

y = 10 * 14

y = 140

or

y =  14 + 9 x

y = 14 + 9 * 14

y = 14 + 126

y = 140

4 0
3 years ago
How do I simplify the square root: 7 times the square root of 81
DENIUS [597]
7\cdot\sqrt{81}=7\cdot\sqrt{9\cdot9}=7\cdot9=\boxed{63}
7 0
3 years ago
Solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y​
Aleks [24]

Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

<u>The system:</u>

{ 7x=-67-11y

{ 5x=-73-11y​

<u>Finding a value for x:</u>

7x=-67-11y -> x = -\frac{67}{7} - \frac{11y}{7}

<u>Solving for y by plugging in our x:</u>

[Equation] 5x = -73 -11y​

[Plug-in] 5(-\frac{67}{7} - \frac{11y}{7}) = -73 -11y​

[Distribute the 5] -\frac{335}{7} - \frac{55y}{7} = -73 -11y​

[Multiply by 7] 7 (-\frac{335}{7} - \frac{55y}{7}) = (-73 -11y​) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

<u>Plug in our y to solve for x:</u>

5x = -73 -11y​

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0
3 years ago
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