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4 years ago

Simplify and then evaluate.

Mathematics

1 answer:

lozanna [386]4 years ago

4 0

Answer:

The simplified expression is -4x and the value is -516

Step-by-step explanation:

−12x+14x−6x

Combine like terms

2x-6x

-4x

Let x =129

-4*129

-516

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Ivahew [28]

Answer:

a) $P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

b) $P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

c) $P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

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

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

$X \sim Binom(n=10, p=0.15)$

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

For this case we want this probability:

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

Part b

For this case we want this probability:

$P(X=3)$

And using the probability mass function we got:

$P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

Part c

For this case we want this probability:

$P(X \geq 1)$

And we can use the complenet rule and we got:

$P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

3 0

3 years ago

Choose all numbers that are greater than 12%

madam [21]

Answer:

1/8, 7/50, 15%,

Step-by-step explanation:

I asked siri

3 0

3 years ago

Find the measure of the<br>exterior angle shown.<br><br>

katrin [286]

Step-by-step explanation:

3x+10°=70

or,3x=70-10

or,3x=60

or,x=60÷3

or,x=20

7 0

3 years ago

What is the slope for y=3x-4? What is the y-intercept for y=3x-4?

riadik2000 [5.3K]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation of the line is

y = 3x - 4

Comparing with the general equation above

The slope /m = 3

The y intercept / c = - 4

Hope this helps you

3 0

3 years ago

Find the values of x and y. Leave answers in simplest radical form.<br>

NNADVOKAT [17]

$\sin(60°) = \frac{x}{14} \Leftrightarrow x = 14 \sin(60°) = \frac{14 \sqrt{3} }{2} = 7 \sqrt{3} \\ \cos(60°) = \frac{y}{14} \Leftrightarrow y = 14\cos(60°) = \frac{14}{2} = 7$

6 0

3 years ago