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Bess [88]
3 years ago
8

A square pyramid and a cube have the same total surface area. The width of the cube is 8 centimeters. The base of the pyramid is

equal to base of the cube. What is the slant height of the square pyramid?
Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

Step-by-step explanation:

surface area of cube = 6×8² = 384 cm²

lateral area of pyramid = surface area of pyramid - base area

= 384 - 8²

= 320 cm²

area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)

slant height = 20 cm

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A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li
motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

-If he does not, 3% of molds are defective.

#The probability that he forgot to shut off the machine is calculated as:

P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

P(a|b)=\frac{P(a \ and\  b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594

Hence,  the probability that the foreman forgot to shut off the machine the previous night is 0.8594

5 0
3 years ago
A package of 5 pairs of insulated socks costs ​$26.45. What is the unit price of the pairs of socks​?
tigry1 [53]

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

3 0
2 years ago
Hacksaw’s Boats of St. Lucia takes tourists on a daily whale/dolphinwatch cruise. Their brochure claims an 80% chance of siting
Fittoniya [83]

Answer:

The probability you see a dolphin or a whale on both days is 0.64

Step-by-step explanation:

Consider the provided information.

It is given that the brochure claims an 80% chance of siting a dolphin or a whale.

The provided claims can be written as: 80% or 0.80

Let say first day you see a dolphin or a whale and same happen on the next day.

Thus, the probability is:

0.80 × 0.80 = 0.64

Probability of see them on both days is 0.64

Hence, the probability you see a dolphin or a whale on both days is 0.64

5 0
3 years ago
Find the area of the sector with a central angle of 120° and a radius of 8 inches. Leave in terms of π
soldier1979 [14.2K]
Centralangle/360 times area of circle=sector area


120/360 times pi8²=
(1/3)(64pi)=64pi/3 square inches
8 0
3 years ago
Read 2 more answers
Select the correct answer.
MrRa [10]

Answer:

b was right

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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