Ask question

Ask question

All categories

2 years ago

9

The probability that an individual is left-handed is 0.12. in a class of 39 students, what is the probability of finding five le

ft-handers

2 answers:

Snezhnost [94]2 years ago

8 0

We are given:

p = probability = 0.12<span>
n = total students = 39 </span>

x = left handers = 5<span>
u = mean = p* n = 4.68
σ = standard dev = √ ( n*p*(1-p)) = √ ( 39 * 0.12 * 0.88 ) = 2.03</span>

Calculating for the z score:

z = (x – u) / σ<span>
z = (5 – 4.68) / 2.03</span>

<span>z = 0.1576 = 0.16

</span>

Using the standard tables for z, the p value is:

p value = 0.5636 = 56.36%

Hence there is a 56.36% chance.

<span> </span>

Tamiku [17]2 years ago

6 0

Answer:

0.1856

Step-by-step explanation:

Given that prob that an individual is left-handed is 0.12.

n = sample size = no of students = 39

q = 1-p = 0.88

Let X be the no of students who are left handed.

X is binomial since each student is independent of the other and there are only two outcomes

X:Bin(39, 0.12)

Probability of finding five left-handers

=P(X=5)

= 39C5 (0.12)^5 (0.88)^34

=0.1856

Answer is 0.1856

You might be interested in

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

STatiana [176]

Answer:

D. $3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

Step-by-step explanation:

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =$

$= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4$

$= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

4 0

1 year ago

Read 2 more answers

-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz

vitfil [10]

To graph it, just graph $y=-3^{-x}-6$ and $y=-3^x+10$ and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
$3^{-x}+6=3^x-10$
multiply both sides by $3^x$
$3^0+6(3^x)=3^{2x}-10(3^x)$
$1+6(3^x)=3^{2x}-10(3^x)$
minus 1 from both sides and minus 6(3^x) from both sides
$0=3^{2x}-16(3^x)-1$
use u subsitution
$u=3^x$
we can rewrite it as
$0=u^2-16u-1$
now factor
I mean use quadratic formula
for $ax^2+bx+c=0$ $x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$
so for 0=u^2-16u-1, a=1, b=-16, c=-1
$u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}$
$u=8+/-\sqrt{65}$
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
$u=8+\sqrt{65}=3^x$
$8+\sqrt{65}=3^x$
if you take the log base 3 of both sides you get
$log_3(8+\sqrt{65})=x$
if you use ln then
$ln(8+\sqrt{65})=xln(3)$
then
$\frac{ln(8+\sqrt{65})}{ln(3)}=x$

8 0

2 years ago

Read 2 more answers

Which mathematical concepts were the result of the work of René Descartes? Check all that apply. theory of an Earth-centered uni

Tanzania [10]

The appropriate response is the third one. A Cartesian organize framework is an arrange framework that determines each point exceptionally in a plane by a couple of numerical directions, which are the marked separations to the point from two settled opposite coordinated lines, measured in a similar unit of length. Each reference line is known as an organize pivot or only hub of the framework, and the point where they meet is its birthplace, as a rule at requested combine (0, 0).

4 0

2 years ago

Read 2 more answers

A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im

loris [4]

Answer:

Coordinates of Vertices of triangle ABC are A (-4,3) , B(4,4) and C(1,1).

As, DO is Dilation of Δ ABC by Scale factor of $\frac{1}{2}$ .

Vertices of A' B'C' are

$A'=(\frac{-4}{2},\frac{3}{2})=(-2,\frac{3}{2}), B'=(\frac{4}{2},\frac{4}{2})=(2,2), C'=(\frac{1}{2},\frac{1}{2})$

So, Image Δ A'B'C' will be smaller than the Pre image Δ ABC.

The two triangles will be congruent.

AO is Dilated by a factor of half , so A'O' will be half of AO.

So, correct Statements are

1. AB is parallel to A'B'.

2.DO,1/2(x, y) =

The distance from A' to the origin is half the distance from A to the origin.

$OA=\sqrt{(-4)^2+3^2}=\sqrt{25}=5\\\\ O'A'=\sqrt{2^2+(\frac{3}{2})^2}=\frac{5}{2}=2.5$

8 0

2 years ago

Read 2 more answers

What is the EXACT volume of the cylinder?

taurus [48]

the answer should be 780π

8 0

2 years ago