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2 years ago

12

Rita does chores for her neighbors and makes $45 each weekend. She owes her sister $80. Rita has $178 in coins and a collection

of baseball cards worth $475. Which is a liability? the money she earns the money she owes her sister the coins the collection of baseball cards

2 answers:

aleksley [76]2 years ago

5 0

B. The money she owes her

mina [271]2 years ago

3 0

The money she owes her sister $80

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To increase sales, a local donut shop began putting an extra donut in some of the boxes. Customers are unaware of which boxes ha

Bingel [31]

Answer:

Step-by-step explanation:

Hello!

Part A

First, determine your study variable:

X: Number of boxes with an extra donut in a sample of eight.

To see if the variable has a Binomial distribution you have to check if the binomial criteria are met:

1. The number of observation of the trial is fixed (In this case n = 8, the boxes each customer bought make the sample)

2. Each observation in the trial is independent, this means that none of the trials will affect the probability of the next trial (In this case, the amount of donuts in one box does not affect on the probability of the next box having an extra donut)

3. The probability of success in the same from one trial to another (In this case our "success" will be that the box has an extra donut, according to the owners claim that is 1/7; ρ=0,14)

So X≈ Bi (n;ρ)

Where n represents the sample (n=8) and ρ is the probability of success (ρ=0.14)

Part B

The mean of the binomial distribution is E(X)= nρ

E(X)= 8 * 0.14= 1.12

The mean of the distribution is also called the expected value. You'd expect that 1.12 boxes have an extra donut.

The variance of the binomial distribution is V(X)= nρ(1 - ρ)

V(X)= 8*0.14*(1 - 0.14)= 0.9632

Its square root is the standard deviation

√V(X)= 0.98

The standard deviation is a measure of dispersion, it indicates how much the values of the distribution of the central value are separated. In this case, 0.98 indicates that the distribution of the number of boxes with an extra donut is far from the expected value.

Part C

Two of the eight customers buy a box with an extra donut, symbolically:

P(X=2) = P(X≤2) - P(X≤1)= 0.91 - 0.68 = 0.22

There is a 22% chance that two customers bought a box with an extra donut.

Compute:

P(X≥2)= 1 - P(X<2)= 1 - P(X≤1)= 1 - 0.68= 0.32

There is a 32% chance that two or more customers bought a box with an extra donnut.

I hope it helps!

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1 year ago

alon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of wee

soldier1979 [14.2K]

700 - 175 is equal to 525 when you divide that by 35 you get 15 which is your answer.

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2 years ago

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A long time ago Dulani found an island shaped like a triangle with three straight shores of length 3 km 4 km and 5 km.He said no

VikaD [51]

To find the area of his exclusion zone you would need to understand that a triangle with dimensions of 3, 4, and 5 represent a right triangle.

This means the exclusion zone would be applied to the base and the height of the triangular space.

You would add 2 km to the 3 km, and 2 km to the 4 km to create a new height of 5 km and a new base of 6 km.

Please see the attached picture to understand this.

You will find the area of the total space created by the new triangle and subtract the space represented by the original triangle to find the area of the exclusion zone.

(1/2 x 6 x 5) - (1/2 x 4 x 3)
15 km² -6 km² equals 9 km².

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2 years ago

Alice and Bob each choose at random a number between zero and two. We assume a uniform probability law under which the probabili

Mnenie [13.5K]

Answer / Step-by-step explanation:

Before we start to answer this question, it would be nice to understand some basic definition and principles:

Random: This refers to an unpredictable pattern of arrangement. Without a specific aim or logical procedural pattern.

Uniform Probability distribution: This is a type of probability distribution in which the outcomes of distribution irrespective of the pattern or distance results in equally likely outcomes.

Uniform distribution is one of the widely used distributions although it's one of the simplest ones. The idea behind this distribution is that, unlike the other distributions, the likelihood of the any outcome in the distribution range is the same.

Now that we have a brief knowledge of the key terms within the question, hence, to start answering the question,

(a) Starting with 0 for Alice, Bob can choose any number starting from 1 / 3 . As Alice increases, Bob has to increase his starting point as well. Therefore, after Alice passes 1 / 3 , Bob can start choosing numbers from 0. This creates 2 triangles with sides 1 / 3 . The area of them gives us the probability.

Therefore, : P = 2 ( 1/3 1/3 1/3)

= 4/9

(b) We can find the probability of having both the numbers less than 1 / 3 . Then we subtract this probability from 1.

We have: P = 1 - 1/3 . 1/3

= 8/9

(c) This is basically impossible as the area of a dot is negligible.

(d) It means that Alice needs to select a number between 1 / 3 and 1.

Therefore: P = 1 - 1 /3

= 2 / 3

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2 years ago

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, a

Alik [6]

Answer:

A

Step-by-step explanation:

Total money earned=40*8.95=358

Total money earned after deductions=358-(35.24+24.82+21.33)=276.61

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1 year ago