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Gnoma [55]
4 years ago
8

Find the common difference for the given sequence. 1.05, 1.1, 1.15, 1.2, ... 0.005 0.05 0.5

Mathematics
2 answers:
monitta4 years ago
8 0

Answer: 0.05

Step-by-step explanation:

In the given sequence, the first term = 1.05

The second term = 1.1

The difference between first and second term =1.1-1.05=0.05

The third term = 1.15

The difference between second and third term =1.15-1.1=0.05

The fourth term = 1.2

The difference between third and fourth term =1.15-1.1=0.05

Hence, the common difference of the given sequence =0.05

pashok25 [27]4 years ago
6 0
Given a sequence; a₁,a₂,a₃...,an,
The common difference is d= a₂-a₁=a₃-a₂=a₄-a₃....

In this case: 
a₁=1.05
a₂=1.1

d=a₂-a₁=(1.1)-(1.05)=0.05

Answer: The common difference is 0.05. 
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Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0
3 years ago
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3,2

Step-by-step explanation:

hope you like it then comment

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the graph of F(x), shown below, has the same shape as the graph of G(x)=x^4. but it is shifted 3 units to the right. which is it
Naddik [55]

Answer:

<h2>C. F(x) = (x - 3)⁴</h2>

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

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===================================

The graph og G(x) = x⁴ shifted 3 units to the right.

Therefore F(x) = G(x - 3) = (x - 3)⁴

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