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Anastasy [175]
3 years ago
15

If (6y − 11)(6y + 11) = ay2 − b, what is the value of a?

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0
I hope this helps you

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162.50 if this represented a 6.5% increase what is her monthly salary after the raise
Anon25 [30]

9514 1404 393

Answer:

  2662.50

Step-by-step explanation:

Let s represent her old salary. Then we have ...

  0.065s = 162.50

  s = 162.50/0.065 = 2500

Then her new monthly salary is ...

  new salary = old salary + raise

  new salary = 2500 +162.50

  new salary = 2662.50

6 0
2 years ago
a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is
nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \frac{adjacent}{hypotenuse} = \frac{12}{l} ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \frac{12}{cos70} ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

4 0
3 years ago
The p-value for a one-sided test of the population proportion is 0.0513. Which of
uysha [10]

Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows.

  • For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.
  • For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.
  • For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.

In all cases, a higher test statistic leads to a lower p-value, and vice-versa.

<h3>What is the equation for the test statistic?</h3>

The equation is given by:

t = \frac{\overline{X} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{X} is the sample mean.
  • \mu is the tested value.
  • s is the standard deviation.
  • n is the sample size.

From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease,  and the p-value would increase.

You can learn more about p-values at brainly.com/question/26454209

3 0
2 years ago
Is a measure of 25 inches​ "far away" from a mean of 16 ​inches? As someone with knowledge of​ statistics, you answer​ "it depen
erik [133]

Answer:

a) 25 is 3 standard deviation from the mean

b) Is far away from the mean, only 0,3 % away from the right tail

c) 25 is pretty close to the mean (just a little farther from 1 standard deviation)

Step-by-step explanation:

We have a Normal Distribution with mean 16 in.

Case a) we also have a standard deviation of 3 inches

3* 3 = 9  

16 (the mean) plus 3*σ  equal 25 in. the evaluated value, then the value is 3 standard deviation from the mean

Case b) 25 is in the range of 99,7 % of all value, we can say that value is far away from the mean, considering that is only 0,3 % away from the right tail

Case c) If the standard deviation is 7 then

mean + 1*σ  =  16 + 7 =23

25> 23

25 is pretty close to the mean only something more than 1 standard deviation

4 0
3 years ago
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area?
lara31 [8.8K]

The formula for calculating area of parallelogram is given as:

Area = base x height

So, here in this question,

Base = 3. 5 units

Height = 2 units

Area = 3.5 x 2

= 7 unit^2

5 0
3 years ago
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