The west side bakery uses 520 pounds of flour to make 1000 loaves of bread each loaf contains the same amount of flour

You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first

Tomtit [17]

Answer:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729$

And the probability of loss with the first wersion is 0.729

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Alternative 1

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=3, p=0.1)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729$

And the probability of loss with the first wersion is 0.729

Alternative 2

Let Y the random variable of interest, on this case we now that:

$Y \sim Binom(n=5, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(Y)=(nCy)(p)^y (1-p)^{n-y}$

Where (nCx) means combinatory and it's given by this formula:

$nCy=\frac{n!}{(n-y)! y!}$

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

4 0

3 years ago

If PQ=RS, which of the following must be true?

maw [93]

Answer:

If PQ=RS then PQ and RS have the same length. Hence option D is correct

Solution:

Given that, pq = rs

And, we have to find which of the given options are true.

a) pq and rs form a straight angle

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

b) pq and rs form a zero angle.

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

c) pq and rs are same segment. 

If two things equal then there is no condition that both represents a single item.

So this statement is false.

d) pq and rs have the same length

As given that pq = rs, we can say that they will have the same length

Hence, option d is true.

4 0

3 years ago

Eli drove 856 miles on 29.4 gallons of gas what was his gas mileage rounded to the nearest mpg?

vekshin1

Answer: 29 miles per gallon.

Reasoning: 856 miles/29.4 gallons = 29.1156462585 (rounded to the nearest mile = 29)

Hope this helped!

5 0

3 years ago

Read 2 more answers

What is 1.44 divided by 5.96 ROUNDED PLZ

Alekssandra [29.7K]

Answer:

0.24

Step-by-step explanation:

it was 0.24161073 not simplified but since the 1 after the 4 is not greater than five it stays the same and it beccome 0.24

4 0

3 years ago

A soap factory packs 7 bars of soap into each family pack. How many family packs can be made with 4,900 bars of soap?

m_a_m_a [10]

Answer:

700 family packs

Step-by-step explanation:

In each family pack, there are 7 bars of soap. To find the number of family packs that can be made with 4900 bars of soap, we need to divide 4900 into groups of 7.

4900÷7

=700

Therefore, 700 family packs can be made with 4900 bars of soap.

I hope this helps!

5 0

3 years ago