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Question:

If a sample of 2 hammer is selected

(a) find the probability that all in the sample are defective.

(b) find the probability that none in the sample are defective.

Answer:

a [tex]Pr = \frac{2}{110}[/tex]

b [tex]Pr = \frac{72}{110}[/tex]

Step-by-step explanation:

Given

[tex]n = 11[/tex] --- hammers

[tex]r = 2[/tex] --- selection

This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities

Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

[tex]Pr = P(D) * P(D)[/tex]

[tex]Pr = \frac{2}{11} * \frac{2-1}{11-1}[/tex]

[tex]Pr = \frac{2}{11} * \frac{1}{10}[/tex]

[tex]Pr = \frac{2}{110}[/tex]

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

[tex]P(D') = \frac{9}{11}[/tex]

For two selections, the probability that all are not defective is:

[tex]Pr = P(D') * P(D')[/tex]

[tex]Pr = \frac{9}{11} * \frac{9-1}{11-1}[/tex]

[tex]Pr = \frac{9}{11} * \frac{8}{10}[/tex]

[tex]Pr = \frac{72}{110}[/tex]

Answer:

15 grams and 15000 milligrams

Step-by-step explanation:

Answer:

A. Obtuse B. Right C. Acute D. Acute Hope this helps :)

Answer:

42

Step-by-step explanation:

(8+13)*4/2 = 42

Answer:

42 in

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

It would be easier with C., the other options are already easy to calculate

Answer:

C. The number is a perfect square because (17) × (17) = 289

Answer:

∠VWT and ∠UTW

∠STW and ∠XWT

Step-by-step explanation:

Answer:

x = 15

z = 25

Step-by-step explanation:

In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.

[tex] \therefore m\angle MLK =90\degree [/tex]

[tex] \therefore 6x\degree =90\degree [/tex]

[tex] \therefore 6x =90[/tex]

[tex] \therefore x =\frac{90}{6}[/tex]

[tex] \therefore x =15[/tex]

In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.

[tex] \therefore m\angle PRQ =90\degree [/tex]

[tex] \therefore (4z-10)\degree =90\degree [/tex]

[tex] \therefore 4z-10 =90[/tex]

[tex] \therefore 4z =100[/tex]

[tex] \therefore z =\frac{100}{4}[/tex]

[tex] \therefore z =25[/tex]

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

viola!

hope this helped!

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

hope this helped!

Answer:

140%

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Answer:

The line segment RU

Step-by-step explanation:

The radius of a circle is defined as the distance from the center to the edge. Since answer D represents that definition, it is a radius.

Answer: D

Step-by-step explanation:

The radius of a circle is the half the line in the middle so the only ones that form half a line across the middle is line segment RU

Hope this helped! :)

Answer:

yo my bad

x=10 the other person solved it

Answer:

x=10

Step-by-step explanation:

8/x=0.8

8=0.8x

x=10

9514 1404 393

Answer:

  8π m² ≈ 25.13 m²

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr²

The area of a semicircle is half that. Also, the radius (r) is half the diameter. So. the area of this semicircle is ...

  A = (1/2)π(4 m)² = 8π m² ≈ 25.13 m²

__

Comment on pi

If you use the 3-digit value 3.14 for pi to compute this 4-digit result, you will get 25.12.

Answer:

a line going straight up and down at x = -4

Step-by-step explanation:

Answer:

x = -4 describes a perfectly vertical line that crosses through the point (-4, x), where x is any real number.  So to draw it, simply measure the point (-4, 0), and draw a vertical line that crosses through it.

Answer:

Step-by-step explanation:

200 percent

Answer:

B and C

Step-by-step explanation:

4/7 = 0.57

2/3 > 4/7

is this khan academy?

Answer:

C

Step-by-step explanation:

Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating

Answer:

x = 1

y . =2

slope =

[tex]\frac{y}{x} \\\\\frac{2}{1} \\\\Slope = 2[/tex]

Step-by-step explanation:

Answer:

173,740

Step-by-step explanation:

no need explanation

Answer:

slope (m) = 4/5

Step-by-step explanation:

Equation of straight line: y = mx + b

∴ 4/5 is the slope

Answer:

}

Step-by-step e.xplanati:kljkjk

Answer:

Wind

Hydroelectric Power

Solar

Geothermal

click on pics.........................

Step-by-step explanation:

the last one is the answer

Answer:

Option D

Step-by-step explanation:

The phospholipid bilayer that makes up a cell membrane comprises of two essential parts a) Water loving part or the hydrophilic part which points outwards towards cytoplasm and b) Water hating part of hydrophobic part which point towards the interior of the membrane, and is sandwiched between two layers of hydrophilic heads

Hence, option D is correct

Answer:

d

Step-by-step explanation:

edge 2021

Answer:

-15 meters.

Step-by-step explanation:

i did it on khan