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4 years ago

Use the quotient of negative numbers:

1 answer:

4 0

If you divide negative by positive it will be negative.
If you divide positive by negative it will be negative.
If you divide 2 negatives you get a positive.
I hope this helps :)

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Write (8a^-6) in simplest form.

salantis [7]

It's 8/a^6 that's your answer

7 0

3 years ago

What’s the correct answer

Stels [109]

$a_n=a_{n-1}+7 \ \ \to \ \ d=7 \\ \\ a_n=a_1+d(n-1) \\ a_n=17+7(n-1) \\ a_n=17+7n-7 \\ a_n=7n+10$

The answer is B. a_n = 7n+10

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3 years ago

José sale de su casa con $50 y gasta 4/5 en el cine y 1/10 en chocolates, ¿qué fracción del

netineya [11]

Answer:

9/10

Step-by-step explanation:

8 0

3 years ago

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:

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

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

$p_2 = \frac{28}{400}$

$p_2 = 0.07$

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

$- 0.0265\le K \le 0.0465$

3 0

3 years ago

HELP ME PLEEEEEEAAAASEEEE!

Archy [21]

Answer:

$2\frac{1}{2}\ liters$

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

$1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}$

step 2

Using proportion

$\frac{3}{(6/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=3/(6/5)\\ \\x=15/6\ liters$

step 3

Convert to mixed number

$\frac{15}{6}\ liters=\frac{12}{6}+\frac{3}{6}=2\frac{1}{2}\ liters$

8 0

3 years ago