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Hatshy [7]
3 years ago
5

Fill in the missing work and justification for step 5 when solving 4(x + 1) = 8.

Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

4(x + 1) = 8

4x+4=8

4x=8-4

4x=4

x=4/4

x=1

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Complement angles, sum is equal 90

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Identify a number that results in a 4-digit-number when 156,350 is subtracted from it
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3 years ago
Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

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

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

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

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

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3 years ago
What common Denominator is for 18/24
DENIUS [597]
The common denominator for 18/24 is 24
3 0
3 years ago
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