What is a ordered pair of y+1=3(x-4)

Mathematics

1 answer:

PolarNik [594]4 years ago

3 0

The ordered pair is (-1,4).

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The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals i

Harlamova29_29 [7]

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = 70 years, standard deviation (σ)= 5.5 years.

a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:

$z=\frac{x-\mu}{\sigma}$ , for a sample size of n, the z score is: $z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.

For x = 60:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07$

For x = 80:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07$

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

$z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years$

3 0

3 years ago

I need help solving this

Savatey [412]

Check the picture below.

5 0

3 years ago

sophia borrowed $12,109 at 4.5% simple interest for 6 months. How much will the interest amount to? What is the total amount tha

Yuri [45]

The applicable formula is
I = Prt
where P = the principal value (12109), r is the interest rate (0.045), and t is the time period in years (1/2)

a) Substituting the given values, the interest amount is computed as
I = ($12,109)(.0.45)(1/2)
I = $272.45

b) The amount Sophia will have to pay back is the sum of the principal amount and the interest owed.
$12,109 + 272.45 = $12,381.45

5 0

3 years ago

Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...

Readme [11.4K]

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

$a_n = a_1 + (n - 1)d$