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3 years ago

6

Use the Pythagorean Theorem to find the hypotenuse.

1 answer:

valkas [14]3 years ago

4 0

Is the hypotenuse not already shown? wouldn’t it just be 10…?

if your trying to find the value of the missing leg then that would 8.
10^2-6^2= b
100-36=64
square root of 64 is 8.

not sure if this was a trick question or just bad wording cause the longest leg- the hypotenuse is already shown in that image-10. otherwise if it was bad wording and means the missing leg, then that would be 8.

so based off the question it’s 10. it’s just weird how they said to use the pythagorean theorem when you don’t have to…

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Silicon wafers are scored and then broken into the many small microchips that will he mounted into circuits. Two breaking method

antoniya [11.8K]

Answer:

a

The estimate is $- 0.0265\le K \le 0.0465$

b

Method B this is because the faulty breaks are less

Step-by-step explanation:

The number of microchips broken in method A is $n_1 = 400$

The number of faulty breaks of method A is $X_1 = 32$

The number of microchips broken in method B is $n_2 = 400$

The number of faulty breaks of method A is $X_2 = 32$

The proportion of the faulty breaks to the total breaks in method A is

$p_1 = \frac{32}{400}$

$p_1 = 0.08$

The proportion of the faulty to the total breaks in method B is

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For this estimation the standard error is

$SE = \sqrt{ \frac{p_1 (1 - p_1)}{n_1} + \frac{p_2 (1- p_2 )}{n_2} } }$

substituting values

$SE = \sqrt{ \frac{0.08 (1 - 0.08)}{400} + \frac{0.07 (1- 0.07 )}{400} } }$

$SE = 0.0186$

The z-values of confidence coefficient of 0.95 from the z-table is

$z_{0.95} = 1.96$

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as

$K = [p_1 - p_2 ] \pm z_{0.95} * SE$

substituting values

$K = [0.08 - 0.07 ] \pm 1.96 *0.0186$

$K = - 0.0265 \ or \ K = 0.0465$

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is

$- 0.0265\le K \le 0.0465$

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Mrs. Davis' gym class has 24 girls and 18 boys. She wants to separate the class into stations Each station must have the same nu

Nana76 [90]

Answer:

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2 years ago