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4 years ago

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NEED HELP PLZ!! Use the definition, identities, and properties of imaginary numbers to simplify each of the following expression

s. Match each item with its correct simplest form. 1. (i 3)5 2. -i 6 · i 3 · i -5 3. -(i 4) (i 0) (i 7) 4. (i 5 · i -2 · i 8)0 Choices: 1 -1 i -i

1 answer:

Ilia_Sergeevich [38]4 years ago

5 0

Answer:

-i,1,i,1

Step-by-step explanation:

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A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of

notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

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

$\alpha = \frac{1 - 0.98}{2} = 0.01$

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 $1 - 0.01 = 0.99$ , so Z = 2.327.

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.

$M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031$

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

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

$0.0001 = 2.327\frac{0.0003}{\sqrt{n}}$

$0.0001\sqrt{n} = 2.327*0.0003$

$\sqrt{n} = \frac{2.327*0.0003}{0.0001}$

$(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2$

$n = 48.73$

Rounding up

49 measurements are needed.

7 0

3 years ago

PLEASE HELP ME????!!!?

Eduardwww [97]

Step-by-step explanation:

what is the question ?

check everything that applies to the angles 1 and 2 ?

in that case :

two angles are adjacent angles, when they share a vertex and side.

so, yes, adjacent angles is true

vertical angles are angles that are opposite of each other when two lines cross.

so, no, vertical angles is false.

two angles are complementary, when they are adjacent and have combined 90°.

so, yes, complementary angles is true.

2 angles are supplementary, when they are adjacent and have combined 180°.

so, no, supplementary angles is false.

a linear pair of angles is basically the same as supplementary angles.

they are formed when two lines intersect each other (at a single point). The angles at the intersection point are linear if they are adjacent to each other, and their sum is always equal to 180°.

so, no, linear pair is false.

8 0

2 years ago

Shelly sells 5 bone shaped treats for $3.50 how much should she charge to a pack of 12 treats which proportion is needed to solv

aleksandrvk [35]

Hola en ese caso se realiza una regla de tres.
si shelly cobra 5 golosinas por 3.50 dolares, 12 golosinas a cuanto equivaldran.

(12x3.50)/ 5 = 8.4 dolares deberia cobrar

3 0

3 years ago

Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).

gayaneshka [121]

Answer:

0.5x + 2

Step-by-step explanation:

You switch x and y and then solve for x to find the inverse.

6 0

3 years ago

Use the figure to find the measures of the numbered angles

tresset_1 [31]

1. 112 degrees
2. 68 degrees

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3 years ago