All categories

3 years ago

Pls help me thank you

Mathematics

1 answer:

Zigmanuir [339]3 years ago

4 0

The probability is 3/10 however I can’t see the answer choices. If you need an explanation let me know. Good luck

You might be interested in

Apply the rules for order of operations to simplify (2-1) + 3² ÷ 3.

strojnjashka [21]

<em>To divide powers with the same base, subtract the exponent in the denominator from the exponent in the numerator. Subtract 1 from 2 to get 1.</em>

<em>Subtract 1 from 2 to get 1.</em>

<em>Calculates 3 to the power of 1 and gets 3.</em>

The correct option is Alternative "C".

4 0

2 years ago

Read 2 more answers

A particular concentration of a chemical found in polluted water has been found to be lethal to 40% of the crayfish that are exp

Jet001 [13]

Answer:

a) $P(X=13)=(24C13)(0.4)^{13} (1-0.4)^{24-13}=0.0608$

$P(X=17)=(24C17)(0.4)^{17} (1-0.4)^{24-17}=0.0017$

$P(X=13 U X=17) = 0.0608+0.0017=0.0624$

b) $P(X \geq 17)=0.000427$

c) $P(X \geq 16)= 1-0.000427=0.9996$

d) $E(X)= np = 22*0.4=8.8$

e) $Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

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:

$X \sim Binom(n=24, p=0.4)$

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:

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

3) Part a

$P(X=13)=(22C13)(0.4)^{13} (1-0.4)^{22-13}=0.0336$

$P(X=17)=(22C17)(0.4)^{17} (1-0.4)^{22-17}=0.00035$

$P(X=13 U X=17) = 0.0336+0.00035=0.0340$

4) Part b

$P(X \geq 17)=P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)$

$P(X=17)=(22C17)(0.4)^{17} (1-0.4)^{22-17}=0.00035$

$P(X=18)=(22C18)(0.4)^{18} (1-0.4)^{22-18}=0.0000651$

$P(X=19)=(22C19)(0.4)^{19} (1-0.4)^{22-19}=0.00000914$

$P(X=20)=(22C20)(0.4)^{20} (1-0.4)^{22-20}=0.000000914$

$P(X=21)=(22C21)(0.4)^{21} (1-0.4)^{22-21}=5.81x10^{-8}$

$P(X=22)=(22C22)(0.4)^{22} (1-0.4)^{22-22}=1.76x10^{-9}$

$P(X \geq 17)=0.000427$

5) Part c

$P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]$

$P(X \geq 16)= 1-0.000427=0.9996$

6) Part d

The expected value is:

$E(X)= np = 22*0.4=8.8$

7) Part e

The variance is given by:

$Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

3 0

3 years ago

I really need help on this problem respond ASAP

blsea [12.9K]

First find the area of the leftmost rectangle:

A=l*w
A=4*2 (the 2 comes from 5-3)
A=8

Then find the area of the rightmost rectangle:

A=l*w
A=3*3 (the second 3 comes from 4-1)
A=9

So when you add 8 and 9, you get 17

Hope this helps

4 0

3 years ago

Read 2 more answers

In general, SSA does not always determine

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles. ... The same is true for side angle side, angle side angle and angle angle side.

8 0

2 years ago

find the equation of the line passing throught the point (-4,2) that is perpendicular to the line 5x+3y=7.

Angelina_Jolie [31]

Point Slope: Y +2 = (3/5)(x-4)
Answer: y = 3/5x - (-14/5)

8 0

3 years ago

Read 2 more answers