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2 years ago

0.75h + 3 = 12 What's the answer?

Mathematics

2 answers:

navik [9.2K]2 years ago

7 0

Answer:

h = 12

Step-by-step explanation:

Given

0.75h + 3 = 12 ( subtract 3 from both sides )

0.75h = 9 ( isolate h by dividing both sides by 0.75 )

h = 12

kykrilka [37]2 years ago

5 0

Answer:

h = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

0.75h + 3 = 12

Step 2: Solve for h

Subtract 3 on both sides: 0.75h = 9
Divide 0.75 on both sides: h = 12

Step 3: Check

Plug in h into the original equation to verify it's a solution.

Substitute in h: 0.75(12) + 3 = 12
Multiply: 9 + 3 = 12
Add: 12 = 12

Here we see that 12 does indeed equal 12.

∴ h = 12 is a solution of the equation.

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In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces

nadya68 [22]

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

The probability of being higher than x is:

$P(X > x) = \frac{b - x}{b-a}$

The probability of being between c and d is:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that $a = 8.5, b = 12$

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

$P(X \leq x) = \frac{x - a}{b-a}$

$P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286$

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

$P(X > x) = \frac{b - x}{b-a}$

$P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857$

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

$P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714$

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

$P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571$

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

5 0

2 years ago

How do you solve this for math -3/4÷(-8/5)

Natasha2012 [34]

Answer:

15/32

Step-by-step explanation:

(-3/4)÷(-8/5)

(-3/4)×(-5/8)

15/32

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3 years ago

An entertainment firm offers several DJ choices and light shows that range in price based on the rental time period. The DJ's co

alexdok [17]

219+159≤x≤369+309
The answer can then be simplified to
378≤x≤678

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2 years ago

3+2 I don't know why they expect a kindergartener to do this hard work

Andrei [34K]

The answer is 5! Like if you have 3 cookies then add two you would have .. 5! (: any other questions you need help with?

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2 years ago

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I don’t understand this

navik [9.2K]

Answer:

C = $4.88p

Step-by-step explanation:

You multiply the number of cheese pounds(p) by the cost of the pounds($4.88)

And you will get your total

Hope this helps!

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2 years ago

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