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Studentka2010 [4]
3 years ago
15

2x+3b = x-b solve for b

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

b= -1/4 x

Step-by-step explanation:

2x+3b=x−b

Step 1: Add b to both sides.

3b+2x+b=−b+x+b

4b+2x=x

Step 2: Add -2x to both sides.

4b+2x+−2x=x+−2x

4b=−x

Step 3: Divide both sides by 4.

4b/4 = -x/4

b= -1/4 x

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Consider the following hypothesis test:H0: 20Ha: < 20A sample of 60 provided a sample mean of 19.6. The population standard d
elixir [45]

Answer:

a: z = -1.936

b: 0.0265

d: z < -1.645

Reject H0 if z < -1.645

Step-by-step explanation:

We are given:

H0:  µ = 20

HA:  µ < 20

n = 60, sample mean: 19.6, σ = 1.6

Since the alternate hypothesis has a < sign in it, it is a left tailed test.  The < or > sign in the alternate hypothesis points towards the rejection region.

For a:  We need to calculate the test statistic for our situation.  This is done with a z-score formula for samples.  

For b:  we need to use the z-score table to look up the p-value for the score we calculate in part a.  The p-value is 0.0265.  This means that there is only about a 2.65% chance that the sample values were a result of random chance.

For d:  Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645.  This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis

See attached photo for all the calculations!

4 0
3 years ago
Betty likes to skate at a skate park that is due south of her school and due west of her
AURORKA [14]
The answer will be 12+13 because the skatepark is 12km from school and her favorite game store was 13 km so it’s 12+13=25km
6 0
3 years ago
What is 2 1/3 + 1 2/3?
SpyIntel [72]
It totals out to 4. I/3 plus 2/3 would equal 1 whole number, then add 1+2+1, you will get 4!
5 0
3 years ago
Read 2 more answers
Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has
Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
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cricket20 [7]

Answer:

4.70

Step-by-step explanation:

it is bigger then the other numbers

6 0
3 years ago
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