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neonofarm [45]
3 years ago
8

What is 3x 2 2/3 x 1/3

Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

2.66

Step-by-step explanation:

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HELP ME !! AND EXPLAIN HOW YOU GOT IT.
alukav5142 [94]

Answer:

<5=39

Step-by-step explanation:

<2=48

<3=93

<2 and <4 are equal to each other because they are alternate interior angles

93+48=141

180-141=39

5 0
3 years ago
Read 2 more answers
Simplify
masya89 [10]
Answer will be 1/17
6 0
4 years ago
Write in y= mx + b form: a line through (-3,1) having the same y-intercept as the graph of x-2y=-4
MariettaO [177]

Step-by-step explanation:

Aight, so the same intercept

- 2y =  - 4 - x =  =  =  >  \\ y =  \frac{1}{2} x + 2

m=½

y =  \frac{1}{2} x + b =  =  =  >  \\ now \: let \: us \: replace \: the \: point \\ 1 =  \frac{1}{2} ( - 3) + b =  =  =  >  \\  \frac{5}{2}  = b

soooo

y =  \frac{1}{2} x +  \frac{5}{2}

7 0
2 years ago
A pharmaceutical company producing medicine determines that the ideal weight per dose of a certain drug is 0.05 grams. By law, t
miskamm [114]

Answer:

Acceptable Range (in grams) is between 0.048 grams and 0.052 grams

Step-by-step explanation:

So, it means that the actual weight can be 0.002 grams LESS THAN or even GREATER than the idea weight.

So

0.05 + 0.002 = 0.052

and

0.05 - 0.002 = 0.048

Thus, the acceptable range will be BETWEEN 0.048 grams and 0.052 grams

6 0
3 years ago
A new surgical procedure is successful with probability of p. Assume that the operation is performed 5 times and the results are
DaniilM [7]

Answer:

a) P(X=5)=(5C5)(0.8)^5 (1-0.8)^{5-5}=0.32768

And we can use the following excel code: "=BINOM.DIST(5,5,0.8,FALSE)"

b) P(X=4)=(5C4)(0.6)^4 (1-0.6)^{5-4}=0.2592

And we can use the following excel code: "=BINOM.DIST(4,5,0.6,FALSE)"

c) P(X

And the excel code would be: "=BINOM.DIST(1,5,0.3,TRUE)"

d) E(X) =n*p= 5*0.5 =2.5

e) Var (X) = np(1-p) = 5*0.4*(1-0.4)=1.2

Step-by-step explanation:

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".

Solution to the problem

Let X the random variable of interest, on this case we know that:

X \sim Binom(n=5, p)

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!}

Part a

For this case the value of p =0.8 and we want to find this probability:

P(X=5)=(5C5)(0.8)^5 (1-0.8)^{5-5}=0.32768

And we can use the following excel code: "=BINOM.DIST(5,5,0.8,FALSE)"

Part b

For this case the value of p =0.6 and we want this probability:

P(X=4)=(5C4)(0.6)^4 (1-0.6)^{5-4}=0.2592

And we can use the following excel code: "=BINOM.DIST(4,5,0.6,FALSE)"

Part c

The value of p assumed is 0.3. For this case we want this probability:

P(X

P(X=0)=(5C0)(0.3)^4 (1-0.3)^{5-0}=0.16807

P(X=1)=(5C1)(0.3)^4 (1-0.3)^{5-1}=0.36015

P(X

And the excel code would be: "=BINOM.DIST(1,5,0.3,TRUE)"

Part d

The expected value for the binomial distribution is given by np and since we are assuming p=0.5 we got:

E(X) =n*p= 5*0.5 =2.5

Part e

Assuming the value of p=0.4. The variance for the binomial distribution is given by:

Var (X) = np(1-p) = 5*0.4*(1-0.4)=1.2

7 0
3 years ago
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