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miskamm [114]
3 years ago
14

A market research firm conducts telephone surveys with a 50% historic response rate. suppose a sample of 400 is taken. what is t

he probability that the sample proportion will be at least 0.475?
Mathematics
1 answer:
solmaris [256]3 years ago
4 0
N=400
sample proportion >= .475 => n>=.475N=190
mean response rate of population, p=0.5
Problem satisfies criteria for binomial distribution, where
P(x>=190)=sum P(x=i), i=190 to 400
This can be obtained from binomial distribution tables, calculators, or software as 
P(x>=190)=1-P(x<190)=1-0.14685=0.85315

Alternatively, normal approximation can be used.
mean=Np=400*.5=200
variance=Npq=400(.5)(1-.5)=100
standard deviation=sqrt(variance)=sqrt(100)=10
Calculate P(X>=190)=1-P(X<190)
X with continuity correction = 189.5
Z=(X-mean)/standard deviation=(189.5-200)/10=-1.05
P(z<Z)=P(z<-1.05)=0.14686 (from normal probability tables)
hence
P(X>=190)=1-P(X<190)=1-P(z<-1.05)=1-0.14686=0.85314 (approximately)

almost same as the exact binomial solution.

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Alika [10]

Answer:

The correct answer is 10 and 14

5 0
2 years ago
Please help!posted picture of question
motikmotik
Answer:
5x⁴ + 5x³

Explanation:
We are given that:
f (x) = 5x³
g (x) = x + 1

Now, (f · g)(x) means that we will simply multiply the two functions as follows:
(f · g)(x) = f (x) · g (x)
(f · g)(x) = 5x³ (x + 1)
(f · g)(x) = 5x⁴ + 5x³

Hope this helps :)
3 0
3 years ago
Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?
Vadim26 [7]

Answer: 8.125 inches

Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125

5 0
3 years ago
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Afina-wow [57]
The corporate team building event will cost $18.00 because $2 multiplied by 6 is $12.00 and $1.00 multiplied by 6 is $6.00 and 6 plus twelve is 18 so it would be $18.00
3 0
3 years ago
Can you help me please
STALIN [3.7K]

Answer:

36

Step-by-step explanation:

Here we a given a rule

It say

x(y÷3)^2

And we are given the values of x and y as

x=4 and y = 9

Let us replace them in the rule we are provided with

4(9÷3)^2

Applying DMAS rule, which says, first Division ollowed by Multiplication addition and then subtraction .

We first divide 9 by 3

9÷3 = 3

Hence

4(9÷3)^2 = 4(3)^2

Now we square first

3^2 = 3 \times 3 = 9

4(3)^2 = 4 \times 9

4(3)^2 = 36

Hence our final answer will be 36

4 0
3 years ago
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