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Serhud [2]
3 years ago
8

X^2-16/x^2-3x-4 simply

Mathematics
2 answers:
kolbaska11 [484]3 years ago
7 0

Answer:

x+4/x+1

Step-by-step explanation:

hope this can help you :)

Makovka662 [10]3 years ago
4 0

Answer:

\frac{x+4}{x+1}

Step-by-step explanation:

Given

\frac{x^2-16}{x^2-3x-4} ← factor numerator/ denominator

= \frac{(x-4)(x+4)}{(x-4)(x+1)} ← cancel the factor (x - 4) on numerator/ denominator

= \frac{x+4}{x+1}

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Example 1: Calculation of Normal Probabilities Using ????????-Scores and Tables of Standard Normal Areas The U.S. Department of
Molodets [167]

Answer:

i) 0.872

ii) 0.300

iii) 0.76

iv) 0.704

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  $261.50 per month

Standard Deviation, σ = $16.25

We are given that the distribution of monthly food  cost for a 14- to 18-year-old male is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(Less than $280)

P( x < 280) = P( z < \displaystyle\frac{280 - 261.50}{16.25}) = P(z< 1.138)

Calculation the value from standard normal z table, we have,  

P(x < 280) = 0.872 = 87.2\%

b) P(More than $270)

P(x > 270)

P( x > 270) = P( z > \displaystyle\frac{270 - 261.50}{16.25}) = P(z > 0.523)

= 1 - P(z \leq 0.523)

Calculation the value from standard normal z table, we have,  

P(x > 270) = 1 - 0.700 = 0.300 = 30.0\%

c) P(More than $250)

P(x > 250)

P( x > 250) = P( z > \displaystyle\frac{250 - 261.50}{16.25}) = P(z > -0.707)

= 1 - P(z \leq -0.707)

Calculation the value from standard normal z table, we have,  

P(x > 250) = 1 - 0.240 = 0.76 = 76.0\%

d) P(Between $240 and $275)

P(240 \leq x \leq 275) = P(\displaystyle\frac{240 - 261.50}{16.25} \leq z \leq \displaystyle\frac{275-261.50}{16.25}) = P(-1.323 \leq z \leq 0.8307)\\\\= P(z \leq 0.8307) - P(z < -1.323)\\= 0.797 - 0.093 = 0.704 = 70.4\%

P(240 \leq x \leq 275) = 70.4\%

e) Thus, 0.704 is the probability  that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.

5 0
3 years ago
Help pls I don’t get it
Lina20 [59]
Me neitherrrrrrrrrrrrrr
4 0
3 years ago
Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Eddi Din [679]

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

<h3>How to determine the explicit formula?</h3>

The sequence is given as:

2, 6, 18, 54, ....

Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

Read more about geometric sequence at:

brainly.com/question/24643676

7 0
2 years ago
Please help me quickly. - 3/2 (- 5/4) A. -10 B. 15 C. 10 D -15
liberstina [14]

Answer:

18/5

Step-by-step explanation:

-3/2 * -5/4

Multiply the numerators

-3*-5 = 15

Multiply the denominators

2*4 =8

The fraction is 18/5

3 0
3 years ago
Please help I need it ASAP
Varvara68 [4.7K]

Answer:

do 1+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=6

Step-by-step explanation:

5 0
3 years ago
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