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2 years ago

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There are 3 red marbles, 4 yellow marbles, 8 pink marbles, and 3 green marbles in a bag. You randomly choose one. What is the pr

obability of selecting a red marble? Express your answer as a fraction.

2 answers:

aalyn [17]2 years ago

8 0

Answer:

1/6

Step-by-step explanation:

3 red + 4 yellow + 8 pink + 3 green = All marbles = 18 marbles

All red marbles = 3

$\frac{red.marbles}{All.marbles}$

$\frac{3}{18} = \frac{1}{6}$

Hope this helps ^-^

svp [43]2 years ago

6 0

Answer:

16%

Step-by-step explanation:

add all of them together (total=18) and divide 3 by the total

You will get 0.16 and you turn it into a percentage by moving the decimal two places to the right

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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

If you add the lengths of the focal radii of an ellipse, what other value will you produce?

ss7ja [257]

Equation of an ellipse

→having center (0,0) , vertex ( $(\pm a ,0)$ and covertex $(\pm b ,0)$ and focus $(\pm c ,0)$ is given by:

$\frac{x^2}{a^2} + \frac{y^2}{b^2}=1$

As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.

Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:

Distance from (a,0) to (c,0) is = a-c = $F_{1}$

Distance from (-a,0) to (c,0) is = a + c = $F_{2}$

$F_{1} + F_{2} =$ a -c + a +c

= a + a

= 2 a →(Option A )

8 0

2 years ago

Read 2 more answers

Madeline received $300 for her birthday. She deposits it into a savings account with an interest rate of 2.45%. She makes monthl

oee [108]

Answer:

b. $1,587.57

Step-by-step explanation:

A financial calculator will tell you the value of Madeline's account after 8 years will be $16,287.57. In that time, she will have deposited ...

$300 +96×150 = $14,700

The interest earned is the difference between her account balance and the amount she deposited:

$16,287.57 -14,700 = $1,587.57 . . . interest earned

_____

<em>Account value calculation</em>

The future value of the initial $300 deposit after 8 years is ...

A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

A = $300(1 +0.0245/12)^(12·8) ≈ $364.89

The future value of the sum of $150 deposits monthly (at the beginning of the month) will be ...

A = $150((1+r/n)^(nt) -1)(1 +n/r) = $15,922.68

So, the total value of Madeline's account in 8 years is ...

$364.89 +15,922.68 = $16,287.57

_____

<em>Comment on account value</em>

In problems of this nature, it is always necessary to determine when the deposits are made relative to when the account value is measured. Here, we assume the $300 deposit is immediate, and its value is measured 8 years hence.

The monthly deposits are not described in that detail. In order to get any of the numbers in the answer list, we need to assume the deposits are at the beginning of the month. If we assume they are at the end of the month, the amount of interest is reduced by about $33.18, the last month's interest.

7 0

2 years ago

The speed limit on a neighborhood road is 35 miles per hour. You can write the inequality s 35.

Maksim231197 [3]

The Answer is C
Hope I Helped

8 0

3 years ago

Read 2 more answers

Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2

katrin2010 [14]

Answer:

$\dfrac{225}{64}$

Step-by-step explanation:

$(4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} =$

$= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}$

$= 2^{-12} \times 2^{12} \times \dfrac{225}{64}$

$= \dfrac{225}{64}$

8 0

2 years ago