What is the number pattern for 2, 7, 26, 101, 400,?

Mathematics

1 answer:

shusha [124]4 years ago

6 0

2*4=8-1=7

7*4=28-2=26

26*4=104-3 = 101

101*4=404-4=400

the last number is multiplied by 4, then subtracting that number order in the sequence (2 was first so they subtracted 1, 7 was second so they subtracted 2, etc)

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-6(7a-4)=-3(a-7)+3 ??

garik1379 [7]

<h3>The value of a is equal to 0.93.</h3>

-6(7a - 4) = 3(a - 7) + 3

Distributive property.

-42a + 24 = 3a - 21 + 3

Add 42a to both sides.

24 = 45a - 21 + 3

Combine like terms.

24 = 45a - 18

Add 18 to both sides.

42 = 45a

a = 0.93

3 0

3 years ago

Among the equation students taking a graduate statistics class, equation are master students and the other equation are doctoria

OleMash [197]

Answer:

a) P=0.2861

b) P=0.0954

c) P=0.3815

d) P=0.6185

Step-by-step explanation:

The question is incomplete:

Among the N=16 students taking a graduate statistics class, A=10 are master students and the other N-A=6 are doctorial students. A random sample of n=5 students is going to be selected to work on a class project. Use X to denote the number of master students in the sample. Keep at least 4 decimal digits if the result has more decimal digits.

a) The probability that exactly 4 master students are in the sample is closest to?

b) The probability that all 5 students in the sample are master students is closest to?

c) The probability that at least 4 students in the sample are master students is closest to?

d) The probability that at most 3 students in the sample are master students is closest to?

We use a binomial distribution with n=5, with p=10/16=0.625 (proportion of master students).

$P(k=4)=\binom{5}{4}p^4q^1=5*0.625^4*0.375=5*0.1526*0.3750\\\\P(k=4)=0.2861$