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2 years ago

A number increased by negative 27 is 110

Mathematics

2 answers:

suter [353]2 years ago

5 0

X+(-27)=110
x-27=110
x=137
hope that help you

QveST [7]2 years ago

5 0

Re write it in math terms:

Let x be this number:

x + (-27) =110 ==x=137

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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:

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

2 years ago

If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? *

OleMash [197]

Answer:

Step-by-step explanation:

15/6.0=2.5

2.5x4=10

2.5x6=15

10+15=25

10 boys and 15 girls

6 0

2 years ago

Read 2 more answers

Which equation, when solved results in a different value of x than the other three?

Talja [164]

Answer:

$-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20(-\frac{8}{7})$

Step-by-step explanation:

The complete question in the attached figure

Verify each case

Part 1) we have

$-\frac{7}{8}x-\frac{3}{4}=20$

solve for x

$\frac{7}{8}x=-\frac{3}{4}-20$

$\frac{7}{8}x=-\frac{83}{4}$

$x=-\frac{83}{4}(\frac{8}{7})$

$x=-\frac{166}{7}$

Part 2) we have

$\frac{3}{4}+\frac{7}{8}x=-20$

Multiply both sides by -1 and rearrange the terms on the left side to get

$-\frac{7}{8}x-\frac{3}{4}=20$

This expression is the same that the expression in Part 1)

That means, that the equations Part 1) and Part 2) are equivalent

therefore

$x=-\frac{166}{7}$

Part 3) we have

$-7(\frac{1}{8})x-\frac{3}{4}=20$

Remember that

$-7(\frac{1}{8})x=-\frac{7}{8}x$

This expression is the same that the expression in Part 1)

That means, that the equations Part 1) and Part 3) are equivalent

therefore

$x=-\frac{166}{7}$

Part 4) we have

$-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20(-\frac{8}{7})$

This equation is not equivalent to the other three, because some terms are multiplied by -8/7 and others are not. When different things are done on either side of the equal sign, it changes the equation, resulting in a different solution

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2 years ago

Does (6, 3) make the equation y = 2x true

katrin [286]

Answer:

Step-by-step explanation:

y = 2x

Substitute the points into the equation

3 = 2(6)

3 = 12

This is false

The point does not make the equation true

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2 years ago

Which expression is the factored form of 2/3 x+ 4

makkiz [27]

2/3, x, 4
hope this helps

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2 years ago