A tile pattern decreases by 3 tiles. Figure 2 of the pattern has 4 tiles. Use y=mx+b

Write the equation: 5 more than 3 times a number is 20

zlopas [31]

5+3n=20

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3 0

3 years ago

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What is 3.502 rounded to the nearest 0.1 pound

Luda [366]

Answer:

3.5

Step-by-step explanation:

3 0

2 years ago

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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

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

$p_2 = 0.07$

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

Explain how comparan

Umnica [9.8K]

How to comparan? Not sure

5 0

2 years ago

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Round to nearest thousandth!! (3 decimal places) photo attached

aliina [53]

Answer:

Probability point lies on shaded region: ( About ) 0.294

Step-by-step explanation:

~ If we are to find the probability, we must find the area of the shaded figure, over that of the total area of this trapezoid ( whole figure ) ~

Let us get the general dimensions. Firstly, the base of the trapezoid is composed of parts 5, 12, and 5. This is an isoceles trapezoid, meaning that the triangles ( shaded region ) are congruent to one another, including the altitudes. That would mean the non - shaded region is a parallelogram, provided altitudes are congruent and by definition of a trapezoid the bases are congruent.

1. Given the information above, the smaller base is congruent to the opposite side of the parallelogram created, so it is 12 units in length, the larger base being 12 + 5 + 5 ⇒ 22 units

2. By Pythagorean Theorem, if x ⇒ altitude of one of the triangles ( shaded region), 5^2 + x^2 = 13^2 ⇒ 25 + x^2 = 169 ⇒ x^2 = 144 ⇒ altitude = 12 units

3. Now we can find the area of this trapezoid by: ( base + base/2 ) * altitude ⇒ ( 12 + 22 / 2 ) * 12 ⇒ ( 34 / 2 ) * 12 ⇒ ( 17 ) * 12 ⇒ 204 units^2

5. The shaded region is composed of two triangles, and knowing the triangles are ≅, let us solve for the area of one triangle and multiply that by 2 to find the total area of the shaded region. Area of triangle: 1/2 * base * altitude ⇒ 1/2 * 5 * 12 ⇒ 30 units^2. Area of shaded region: 30 * 2 = 60 units^2

Probability point lies on shaded region: 60/204 ⇒ ( About ) 0.294

8 0

3 years ago