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3 years ago

Find arc length CDE geometry

Mathematics

1 answer:

Simora [160]3 years ago

4 0

I don’t think you can calculate the arc without the radius. All I know is that the angle is 110 degree

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Answer:

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3 years ago

32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

$X \sim Binom(n=10, p=0.32)$

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:

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

Part a

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

Part b

$P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]$

$P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211$

$P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Part c

$P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264$

$P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218$

$P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123$

$P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

6 0

3 years ago

Two standard number cubes are thrown, one after the other. What is the probability that the first cube lands showing a 4 or grea

IgorC [24]

Answer:

the answer is a 2/3 change(when simplified) that there will be a number 4 or smaller will there is a 1/3 changed(when simplified) that it will land high than 4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Is y=-3/4×+2 and 3x-4y=-8 parallel,perpendicular,or neither.<br />

cricket20 [7]

Answer:

The answer can be find out by doing the following steps;

Step-by-step explanation:

8 0

3 years ago

HELP! Given a pyramid l = w = 9.0 mm and V = 324.0 cubic mm , find h in mm

harina [27]

Answer:

The answer to your question is height = 12 mm

Step-by-step explanation:

Data

l = w = 9 mm

V = 324 mm³

h = ?

Formula

V = $\frac{Ab x h}{3}$

Solve for h

3V = Ab h

3V / Ab = h or h = 3V / Ab

Find the area of the base

Ab = l x w

= 9 x 9

= 81 mm²

Substitution

h = $\frac{3(324)}{81}$

Simplification

h = $\frac{972}{81}$

Result

h = 12 mm

3 0

3 years ago

Find arc length CDE geometry ​

Find arc length CDE geometry