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serious [3.7K]
3 years ago
8

N − 7.32 / 2 = 1.04 What is "n"?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
7 0

Answer:

n= 4.7

Step-by-step explanation:

n+−3.66=1.04

n−3.66=1.04

Step 2: Add 3.66 to both sides.

n−3.66+3.66=1.04+3.66

n=4.7

Answer:

n=4.7

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Sphinxa [80]

Answer:

-1/2

Step-by-step explanation:

7 0
3 years ago
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The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it
brilliants [131]

Answer:

(a) 11.25 and 1.68  

(b) 0.1651

(c) 0.3903

(d) 0.6865

Step-by-step explanation:

We are given that GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases and suppose the 15 cases reported today are representative of all complaints.

This situation can be represented through Binomial distribution as;

P(X=r)= \binom{n}{r}p^{r}(1-p)^{n-r} ; x = 0,1,2,3,....

where,  n = number of trials (samples) taken = 15

             r = number of success

             p = probability of success which in our question is % of cases in

                  which customer problems are resolved on the same day, i.e.;75%

So, here X ~ Binom(n=15,p=0.75)

(a) Expected number of problems to be resolved today = E(X)

            E(X) = \mu = n * p = 15 * 0.75 = 11.25

    Standard deviation = \sigma = \sqrt{n*p*(1-p)} = \sqrt{15*0.75*(1-0.75)} = 1.68

(b) Probability that 10 of the problems can be resolved today = P(X = 10)

     P(X = 10) = \binom{15}{10}0.75^{10}(1-0.75)^{15-10}

                    = 3003*0.75^{10} *0.25^{5} = 0.1651

(c) Probability that 10 or 11 of the problems can be resolved today is given by = P(X = 10) + P(X = 11)

    = \binom{15}{10}0.75^{10}(1-0.75)^{15-10}+\binom{15}{11}0.75^{11}(1-0.75)^{15-11}

    = 3003*0.75^{10} *0.25^{5} + 1365*0.75^{11} *0.25^{4} = 0.3903

(d) Probability that more than 10 of the problems can be resolved today is

    given by = P(X > 10)

P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)  

= \binom{15}{11}0.75^{11}(1-0.75)^{15-11}+\binom{15}{12}0.75^{12}(1-0.75)^{15-12} + \binom{15}{13}0.75^{13}(1-0.75)^{15-13}+\binom{15}{14}0.75^{14}(1-0.75)^{15-14} + \binom{15}{15}0.75^{15}(1-0.75)^{15-15}

= 1365*0.75^{11} *0.25^{4} + 455*0.75^{12} *0.25^{3}+105*0.75^{13} *0.25^{2} + 15*0.75^{14} *0.25^{1}+1*0.75^{15} *0.25^{0}

= 0.6865

3 0
3 years ago
30% of 20<br>30% of 30<br>30% of 40
Allushta [10]
20X0.3= 6
30X0.3= 9
40X0.3= 12
5 0
3 years ago
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PLZ HELP ITS DUR RIGHT NOW AND PLZ ANSWER TRUTHFULLY
yuradex [85]

Answer:

x=141

Step-by-step explanation:

(n-2)•180 = Sum of all the interior angles

n = # of sides

(7-2)•180

5•180

900= Sum of all the interior angles

Add all the angles and equal them to 900

125+122+131+x+7+x+107+x-15=900

Add all the numbers up first on the left side

477+3x=900

3x=423

x=141

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2 years ago
Help me with this please
bekas [8.4K]

Answer:

f(-5) = 4(-5) + 1 = -20 + 1 = -19

f(-1) = 4(-1) + 1 = -4 + 1 = -3

f(2) = 4(2) + 1 = 8 + 1 = 9

f(3) = 4(3) + 1 = 12 + 1 = 13

f(5) = 4(5) + 1 = 20 + 1 = 21

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