M^2+m-90 please explain steps to factor

Mathematics

1 answer:

tangare [24]2 years ago

3 0

If you use photomath it will give you the answer and the steps to solve its a great app.

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The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is

lana66690 [7]

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}$

Where:

${\hat{p}$ = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

$z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99$

Therefore;

${\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}$

${\hat{p}$ = 0.6057

$Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057$

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

5 0

2 years ago

Which compound inequality is equivalent to the absolute value inequality |bl> 6?

dimulka [17.4K]

Answer:

b > -6 or b < 6

Step-by-step explanation:

The absolute value operator always returns a positive number, with |b| = b if b > 0, and |b| = -b if b 0. With this in mind, consider the following inequality:

|b| > 6

Because of the absolute value operator, this is valid for b values larger than 6 and less than -6. As a result, the compound inequality that this circumstance illustrates is: