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Margarita [4]
3 years ago
11

Which graph shows -3x-7 is less than 20

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0
-3x-7<20

I don't know exactly what it's asking but I think this the answer. 
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Semenov [28]
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What is the answer to 32.6 - n = 10.2
Alex_Xolod [135]

Answer: 22.4

Step-by-step explanation:

32.6 - 10.2 = 22.4

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Do you go for a run on Monday. You run 1. 23 km. On Tuesday you run the same distance. how far did you run all together?
Troyanec [42]
Add it together and find the answer
7 0
3 years ago
Read 2 more answers
The 8th term of a GP is -7/32 find its common ratio if its first term is 28
Ugo [173]
<h2>Common ratio = -1/2</h2>

Step-by-step explanation:

       \text{8}^{th} term of a Geometric progression is given as \dfrac{-7}{32}. The first term is given as 28.

       Any general Geometric progression can be represented using the series a,ar,ar^{2},ar^{3},ar^{4}...\text{ }ar^{n-1}.

The first term in such a GP is given by a, common ratio by r, and the n^{th} term is given by ar^{n-1}.

       In the given GP, a=28;t_{8}=ar^{7}=\dfrac{-7}{32}\\\\28r^{7}=\dfrac{-7}{32}\\\\r^{7}=\dfrac{-1}{128}\\\\r=\dfrac{-1}{2}

∴ Common ratio is \dfrac{-1}{2}.

5 0
3 years ago
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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