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Molodets [167]
3 years ago
11

Find the distance between the points (7,3) and (-4,3) on a coordinate plane.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

12 i took quiz I hope this helped if i am wrong i am soooooo sorry

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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
How long is the rail? Round your answer to the nearest tenth.
ziro4ka [17]

Answer:

D. 15.7 yards

Step-by-step explanation:

The safety rail makes a curved side of a quarter circle.

The length of the safety rail = circumference of the curved part only of a quarter circle = ¼*2πr

Where,

radius = 10 yards

π = 3.14

Plug in the values

= ¼*2*3.14*10

= 15.7 yards.

✅The rail is 15.7 yards long.

8 0
3 years ago
M + m + m + m = 4 + m
kkurt [141]

Answer:

4m=4+m

4m-m=4

3m=4

m=3/4

hope this helps:)))

6 0
2 years ago
What is the value of these coins?
Alborosie

Answer:

$2.39

Step-by-step explanation:

4 pennies=4

2 nickels=10

10 dimes=100

5 quarters=125

$2.39

3 0
3 years ago
Read 2 more answers
Larry is 10 years old and his sister is 7 years old. In how many years time will there total age be 25 years?
maks197457 [2]
In the next 25 years, Larry will be 35 years old, while his sister will be 3 years less than him which is 32 years old for his sister, since his sister is 3 years younger.
7 0
3 years ago
Read 2 more answers
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