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4 years ago

Which of these are mathematical sentences? Check all that apply.

Mathematics

1 answer:

seraphim [82]4 years ago

4 0

Answer:

A, D

Step-by-step explanation:

A is a completed statement and b can be solved.

B is an incomplete statement.

C is just a number.

D is a completed statement and y can be solved.

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A section of the crust moves under another section of crust without changing the land

Alex17521 [72]

Answer:

Step-by-step explanation:

7 0

3 years ago

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

3 years ago

What is 10c+9-7c.....?

Vika [28.1K]

Answer:

17c + 9 = 10c + 9 - 7c

COMBINE LIKE TERMS

10c + 7c = 17c

9 IS NOT A LIKE TERM, SO WE LEAVE IT ALONE

7 0

3 years ago

Which point is on the line 4y-2x=0?

hoa [83]

To figure this out, we just need to plug in the points.

4(-1) - 2(-2) = 0
-4 - (-4) = 0
-4 + 4 = 0
0 = 0
True

The correct answer is a. (-2, -1).

5 0

3 years ago

How many ounces of gold are in a 16-karat gold chain that weighs 2.6 ounces?

oksano4ka [1.4K]

A 16 karat gold means that there are 16 parts of gold in 24 parts of the gold chain. Therefore the weight of the pure gold is:

pure gold = (16 / 24) * 2.6 ounces

<span>pure gold = 1.73 ounces</span>

7 0

3 years ago