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qwelly [4]
3 years ago
11

A bakery uses 10 4/5 ounces of icing for every 1/4 of a cake.what is the unit rate in ounces of icing per cake

Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0
10 4/5 = 54/5

54/5 x 4 = 216 / 5= 43 1/5

unit rate = 43 1/5 ounces / per cake


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In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the
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Answer:

(a) The probability that at least one of these components will need repair within 1 year is 0.0278.

(b) The probability that exactly one of these component will need repair within 1 year is 0.0277.

Step-by-step explanation:

Denote the events as follows:

<em>A</em> = video components need repair within 1 year

<em>B</em> = electronic components need repair within 1 year

<em>C</em> = audio components need repair within 1 year

The information provided is:

P (A) = 0.02

P (B) = 0.007

P (C) = 0.001

The events <em>A</em>, <em>B</em> and <em>C</em> are independent.

(a)

Compute the probability that at least one of these components will need repair within 1 year as follows:

P (At least 1 component needs repair)

= 1 - P (No component needs repair)

=1-P(A^{c}\cap B^{c}\cap C^{c})\\=1-[P(A^{c})\times P(B^{c})\times P(C^{c})]\\=1-[(1-0.02)\times (1-0.007)\times (1-0.001)]\\=1-0.97216686\\=0.02783314\\\approx 0.0278

Thus, the probability that at least one of these components will need repair within 1 year is 0.0278.

(b)

Compute the probability that exactly one of these component will need repair within 1 year as follows:

P (Exactly 1 component needs repair)

= P (A or B or C)

=P(A\cap B^{c}\cap C^{c})+P(A^{c}\cap B\cap C^{c})+P(A^{c}\cap B^{c}\cap C)\\=[0.02\times (1-0.007)\times (1-0.001)]+[(1-0.02)\times 0.007\times (1-0.001)]\\+[(1-0.02)\times (1-0.007)\times 0.001]\\=0.02766642\\\approx 0.0277

Thus, the probability that exactly one of these component will need repair within 1 year is 0.0277.

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2 years ago
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i dont have an idea :)

4 0
3 years ago
5 &gt; Chapter 2: Modeling with Quadratic Functions &gt; Secti
Nitella [24]

Answer:

the awnser is 2,0

Step-by-step explanation:

5 0
2 years ago
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What is the value of the underlined digit? 625
VLD [36.1K]
The value of 6 would be 600 the value of 2 is 20 and. 5 is 5.
3 0
2 years ago
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to com
kirill [66]

Answer:

11 am

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am.

Bus A takes 30 minutes to complete its route once

Bus B takes 40 minutes to complete its route once.

We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route

30 = 3 × 10

40 = 4 × 10

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120 minutes after 9 am is

60 minutes = 1 hour

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9am + 2 hours

= 11 am.

Therefore, they be back at the bus depot together at 11 am

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3 years ago
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