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2 years ago

10

A bag contains 8 yellow marbles and 6 blue. What number of yellow marbles can you add to the bag so that the ratio of yellow to

blue marbles is 5:2?

2 answers:

Kazeer [188]2 years ago

6 0

8 : 6 ...add 7 yellow and it becomes 15:6 when reduced = 5:2

son4ous [18]2 years ago

4 0

15:6 when reduced = 5:2

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The function f(x) is given by the set of ordered pairs.

My name is Ann [436]

Answer: f(0) = 6.

Explanation:

Ther ordered pairs are: (x,y) or (x, f(x) )

So, (1,0) means that f(1) = 0 which denies the fourth choice.

(-10,2) means that f(-10) = 2 which denies the first choice

(0,6) means that f(0) = 6, which is the third choice. So, that is the true equation.

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3 years ago

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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.

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2 years ago

Convert 80 km per hour and 120 km per hour to meters per second

Burka [1]

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

$\large \bold {ANSWER}$

$\large \boxed { \large \sf \green{ 80 km/h = 22.22 m/s }}$
$\large \boxed { \large \sf \green{ 120 km/h = 33.33 m/s }}$

$\large \bold {SOLUTION}$

The first thing we must do is convert kilometers to meters. We will do this by multiplying by 1,000, since 1 km corresponds to 1,000 meters.

80*1000 = 80,000
120*1000 = 120,000

Now that we've done that, let's divide the values by 3,600, because an hour is 60 minutes, and each minute is 60 seconds, so 60*60 is 3,600.

$\frac{80.0\not0\not0}{3.6\not0\not0}=22.22$

$\frac{120.0\not0\not0}{3.6\not0\not0}=33.33$

Hence, 80 km/h = 22.22 m/s, 120 km/h = 33.33 m/s

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1 year ago

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If a bloodstain has a length of 3.0cm and a width of 1.5cm what is the angle of impact?

zalisa [80]

The angle of impact is 30°

<h3>What is the angle of impact?</h3>

In a bloodstain, the angle of impact can be used to determine the appearance of the resulting bloodstain if the bloodstain has a tail or pattern.

Bloodstain pattern analysis is the study of bloodstains at a scene of the crime in an attempt to reconstruct the events that resulted in the bloodshed.

Mathematically;

$\mathbf{Angle \ of \ impact = sin^{-1} (\dfrac{width \ stain}{length \ stain} )}$

$\mathbf{Angle \ of \ impact = sin^{-1} (\dfrac{1.5}{3.0} )}$

$\mathbf{Angle \ of \ impact = 30 ^0}$

Learn more about the angle of impact here:
brainly.com/question/19423063

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2 years ago

(30 Points) Simplify Each Expression And Show Steps/Work

Nutka1998 [239]

1) (2i-4)-(6i+9) = 2i-4-6i-9 = -4i-13

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