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3 years ago

Which property is used below? If 4x + 18 = 42, then 4x + 18 – 6 = 42 – 6.

Mathematics

1 answer:

tangare [24]3 years ago

3 0

Answer:

Additive property.

Step-by-step explanation:

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protocol for flushing a cooling water system at a nuclear reactor requires that a drain valve be opened while the fill pumps are

Lyrx [107]

Answer:

Step-by-step explanation:

drain empties 1/10 of the desired amount per minute

pump fills 1/14 of the desired amount per minute

when both are active, the net drain is 1/10-1/14 = 1/35 of the desired amount per minute

It takes 35 minutes to reach the cut-off level.

3 0

3 years ago

Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of

Fantom [35]

Answer:

A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645\frac{23.44}{\sqrt{141}}$

$M = 3.25$

The lower end of the interval is the sample mean subtracted by M. So it is 34.09 - 3.25 = 30.84.

The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.

A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).

6 0

3 years ago

Find f(g(x)) and g(f(x)).<br> f(x)=x²-2 and g(x)=√x+1

Archy [21]

Answer:

1. x - 1

2. $\sqrt{x^2-1}$

Step-by-step explanation:

$f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1$

$g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}$

6 0

2 years ago

Evaluate a + b for a = 12 and b = 6.

den301095 [7]

Answer:

Here,

a= 12

b = 6

Then,

a+b

= 12 + 6

= 18

.°. 18 is the solution

3 0

3 years ago

Read 2 more answers

Write the standard equation for the circle

saw5 [17]

Answer:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

Step-by-step explanation:

3 0

2 years ago