What is 56471 rounded to the nearest 1000

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

Question 22. Arc length is the distance between two points along a

Vadim26 [7]

Answer: True

Arc length is the distance between two points along a

section of a curve *

This statement is true

4 0

3 years ago

I need help ASAP please ;-; are the two triangles similar (yes or no) and are the congruent (yes or no) btw what’s is x=?

garik1379 [7]

Answer:

I only know the answer to part A. The triangles ARE similar and they ARE congruent.

Step-by-step explanation:

The big triangle has 75° and 60°.

The little triangle has 75° and 45°

75°+60°+45° = 180°

45° is the missing interior angle for the big triangle.

75°+45°+60° = 180°

60° is the missing interior angle for the little triangle.

5 0

3 years ago

Match the key features of the polynomial graph.

KiRa [710]

For the given graph local maximum (2.1,0.7), end behavior is positive infinity to negative infinity, local minimum (-2.7,-4.9), y interception (0,-1.5), and x interception will be at (2.1,0.7).

<h3>How to plot a graph?</h3>

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the graph with 1 maximum and 1 minimum and 1 x and y-intercept.

A key feature of the polynomial graph ;

Local maximum (2.1,0.7),

End behavior is positive infinity to negative infinity,

Local minimum (-2.7,-4.9),

y interception (0,-1.5),

x interception (2.1,0.7).

Hence "For the given graph local maximum (2.1,0.7), end behavior is positive infinity to negative infinity, local minimum (-2.7,-4.9), y interception (0,-1.5), and x interception will be at (2.1,0.7)".

For more information about the graph of a function,

brainly.com/question/27757761

#SPJ1

5 0

2 years ago

can someone just help me! I can't figure it out and nobody is responding to me with some steps or the answer! I really appreciat

Jlenok [28]

Answer:

Step-by-step explanation:

8x+1 = y+10

(8x+1) + (27x +4) =180

8 0

3 years ago