A card is drawn from a standard deck of playing cards. What is the probability of drawing a 2 or a queen

There are 25 black cars, 15 blue cars, 21 red cars and 30 white cars what is the probability of getting a red car

Snezhnost [94]

There are 91 in total. Since there are 21 red cars, it would give you 21/91. Around a 23.07% chance.

7 0

2 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:

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

3 years ago

What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)

Nikolay [14]

Answer:

The line equation is given as: 3 y = 2 x - 9

Step-by-step explanation:

Here, Y intercept is at point ( 0.-3)

So, at x = 0, y = -3

or, C = -3

Also, the point on the equation line is (x,y) = (-9,-9)

Now, by <u>SLOPE INTERCEPT FORM</u> of a line equation,we get:

y = m x + C : m = slope of line ......... (1)

So, substituting the values of C and (x,y) , we get:

-9 = m (-9) + (-3)

or, -9 + 3 = - 9 m

or, m = -6/-9 = 2/3

or, m = 2/3

Now, substitute the value of m back in to the line equation (1)

$y = m x + C \implies y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9$

Hence, the line equation is given as: 3 y = 2 x - 9.

5 0

3 years ago

four plastic bottles, each with a radius of 2 inches, are packed into a cardboard box. The glasses touch each other and the side

shepuryov [24]

The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.

Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,

$\rm \text{Area of the bottom of the box} = 8 \times 8 = 64\ in^2$