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Anuta_ua [19.1K]

3 years ago

6

1 2 3 4 5 6 7 8 9 10

1 answer:

Citrus2011 [14]3 years ago

4 0

Answer:

170 km/h

Step-by-step explanation:

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in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person

Assoli18 [71]

Answer:

c. A and C

Step-by-step explanation:

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".

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

$X \sim Binom(n=100, p=0.11)$

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 need to check the conditions in order to use the normal approximation.

$np=100*0.11=11 > 10 \geq 10$

$n(1-p)=100*(1-0.11)=99 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.11=11$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.11(1-0.11)}=3.129$

Part A

We want this probability:

$P(X \geq 12) = 1-P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(X \geq 12) = 1-P(X$

Part B

P(X>12) = 1-P(X\leq 12) = 1-P(Z< \frac{12-11}{3.129})=1-0.625=0.375[/tex]

Part C

$P(10\leq X \leq 14) = P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(10 \leq X \leq 14) =P(Z< \frac{14-11}{3.129}) -P(Z< \frac{10-11}{3.129})=P(Z$

So then the best option is : c. A and C

8 0

4 years ago

I was wondering if anyone knew the pattern to this...

kotykmax [81]

3×100,0000 Good luck

4 0

4 years ago

Pls help will give brainliest<br> i need this by 12

maw [93]

Definition of parallel
alternate interior angle theorem
reflexive property of congruence
alternate interior angle theorem

3 0

3 years ago

Find the sum.<br> (7x® + 2x5 – 3x² + 9x) + (5x + 8x? – 6x² + 2x – 5) =

kompoz [17]

Answer:

I love Math anyways

the ans is in the picture with the steps

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

7 0

3 years ago

Determine whether each expression below is always, sometimes, or never equivalent to sin x when 0° < x < 90° ? Can someone

Lubov Fominskaja [6]

Answer:

$(a)\ \cos(180 - x)$ --- Never true

$(b)\ \cos(90 -x)$ --- Always true

$(c)\ \cos(x)$ ---- Sometimes true

$(d)\ \cos(2x)$ ---- Sometimes true

Step-by-step explanation:

Given

$\sin(x )$

Required

Determine if the following expression is always, sometimes of never true

$(a)\ \cos(180 - x)$

Expand using cosine rule

$\cos(180 - x) = \cos(180)\cos(x) + \sin(180)\sin(x)$

$\cos(180) = -1\ \ \sin(180) =0$

So, we have:

$\cos(180 - x) = -1*\cos(x) + 0*\sin(x)$

$\cos(180 - x) = -\cos(x) + 0$

$\cos(180 - x) = -\cos(x)$

$-\cos(x) \ne \sin(x)$

Hence: (a) is never true

$(b)\ \cos(90 -x)$

Expand using cosine rule

$\cos(90 -x) = \cos(90)\cos(x) + \sin(90)\sin(x)$

$\cos(90) = 0\ \ \sin(90) =1$

So, we have:

$\cos(90 -x) = 0*\cos(x) + 1*\sin(x)$

$\cos(90 -x) = 0+ \sin(x)$

$\cos(90 -x) = \sin(x)$

Hence: (b) is always true

$(c)\ \cos(x)$

If

$\sin(x) = \cos(x)$

Then:

$x + x = 90$

$2x = 90$

Divide both sides by 2

$x = 45$

(c) is only true for $x = 45$

Hence: (c) is sometimes true

$(d)\ \cos(2x)$

If

$\sin(x) = \cos(2x)$

Then:

$x + 2x = 90$

$3x = 90$

Divide both sides by 2

$x = 30$

(d) is only true for $x = 30$

Hence: (d) is sometimes true

8 0

3 years ago