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2 years ago

What is 0.0000012 in scientific notation

2 answers:

8 0

The number 0.0000012 in scientific notation is 1.2 x 10⁶ (the 6 should be negative as the decimal must move to the right.

Kipish [7]2 years ago

3 0

0.0000012

1.2

−

Explanation:

The decimal point needs to move

places to the right therefore the exponent of the

will be a negative.

0.0000012

1.2

−

Please mark me brainliest! :D

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Which of the following are solutions to the inequality - 13 > x - 10

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2 years ago

Please help with this

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago

A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately

Genrish500 [490]

Answer:

a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

$z=\frac{\bar x-\mu}{\sigma/\sqrt N}$

where

$\bar x=mean\; of\;the \;sample$

$\mu=mean\; established\; in\; H_0$

$\sigma=standard \; deviation$

N = size of the sample.

So,

$z=\frac{185-175}{20/\sqrt {10}}=1.5811$

$\boxed {z=1.5811}$

As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of 1.5811 and this would be your p-value.

We compute the area of the normal curve for values to the right of 1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is

$\boxed {p=0.057}$

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

Step 1

Compute $\bar x_{critical}$