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lilavasa [31]
3 years ago
15

An injection-molded part is likely to be obtained from any one of 8 cavities on a mold. Round your answers to three decimal plac

es (e.g. 98.765). (b) What is the probability that a part is from cavity 1, 2 or 3? (c) What is the probability that a part is neither from cavity 3 nor 4?
Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0

Answer:

(b) The probability is 0.375

(c) The probability is 0.750

Step-by-step explanation:

The probability is calculated as a division between the number of options that satisfy a condition and the total number of options.

For part (b), we have 8 cavities or options for obtain the part but we want to obtain the part from cavity 1, 2 or 3, so we have 3 options. Therefore, the probability is:

\frac{3}{8}  = 0.375

For part (c), We have 8 cavities or options for obtain the part and we want to obtain the part from any cavity except cavity 3 or 4, so we have 6 options. These options are cavity 1, cavity 2, cavity 5, cavity 6, cavity 7 and cavity 8. Then, the probability is:

\frac{6}{8} = 0.750

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EXTRA POINTS
hram777 [196]

Answer:

Step-by-step explanation:

The volume of the pyramid = (1/3)*area of base *height

= (1/3)*10*24*13 = 1040 cubic units.

The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.

Area of rectangular base = 24*10 = 240 sq units.

The slant height of isosceles triangles with a base of 24 units = [(10/2)^2+13^2]^0.5 = [25+169]^0.5 = 194^0.5 = 13.92838828 units.

The area of 2 isosceles triangles with a base of 24 units 2*24*13.92838828/2 = 334.2813187 sq units.

The slant height of isosceles triangles with a base of 10 units = [(24/2)^2+13^2]^0.5 = [144+169]^0.5 = 194^0.5 = 17.69180601 units.

The area of 2 isosceles triangles with a base of 10 units 2*10*17.69180601/2 = 176.9180601 sq units.

The total surface area of the pyramid = 240 + 334.2813187 + 176.9180601 = 591.9731247 sq units.

8 0
3 years ago
Read 2 more answers
5. – 3(1 + 6r) = 14 - 7​
MAVERICK [17]

Answer:

r= -1.8

Step-by-step explanation:

Distribute

-3-18r=14-7

Combine like terms

-3-18r=7

add 3 to both sides

-18r=10

divide by -18

r=-1.8

3 0
3 years ago
Solve the following equation:<br> 3^2x-1=1/9
Ede4ka [16]

Answer:

Step-by-step explanation:

6 0
2 years ago
Simplify the expression. What classification describes the resulting polynomial?
valentinak56 [21]

Answer:

A quadratic Trinomial

Step-by-step explanation:

hope this helps

Given

(3x² - 11x - 4) - (2x² - x - 6)

Distribute both parenthesis, noting the second is distributed by - 1

= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms

= x² - 10x + 2 ←  this is a quadratic with 3 terms, thus trinomial → A

8 0
3 years ago
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Please help with geometry homework ! Mark brainliest
REY [17]

Theorem: If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord.

In your case this theorem sounds as

2\cdot x=3\cdot 6.

Solve this equation:

x=\dfrac{3\cdot 6}{2}=9.

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