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EastWind [94]
4 years ago
8

The length of a rectangle is 4 cm more than the width and the perimeter is at least 34 cm

Mathematics
2 answers:
kiruha [24]4 years ago
7 0
It means that the answer will be equal to 10 and the width 14.
*10x14
Aleks [24]4 years ago
5 0
It is 28 i think been 3 year since i did this

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Someone give me an easy algebra problem ​
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Answer:

|z−7|−|z−9| , if z<7?

Step-by-step explanation:

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Allie found that 40% of the 170 patients she saw in a week were near-sighted
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68 people she saw that were near-sighted
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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
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Nadya [2.5K]

Answer:

y = \frac{3}{5}x - 2

Step-by-step explanation:

Using the point slope form of a line equation, substitute m = 3/5 and the point (0,-2).

y - y_1 = m(x-x_1)\\y --2 = \frac{3}{5}(x - 0)\\y + 2 = \frac{3}{5}x \\ y = \frac{3}{5}x - 2

8 0
4 years ago
P=12 when q=8 and r=3​
guapka [62]
<h3>we can make the below formulas with this information:</h3>

1. \frac{p}{q}  = r \\ 2.q \times r = p \\ 3. \frac{p}{r}  = q \\  4.\frac{q \times r}{p}  = 1

<h3>hope it helped you :-)</h3>
8 0
3 years ago
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