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3 years ago

Given that Y= 3x – 8, what is the sum of the gradient and intercept of the linear equation? *

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

5 0

Answer:

- 5

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c ( m is the slope (gradient) and c the t- intercept )

y = 3x - 8 ← is in slope- intercept form

with gradient m = 3 and y- intercept c = - 8 , thus

m + c = 3 + (- 8) = 3 - 8 = - 5

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Which of these numbers is closest to the golden ratio? 1.16, 1.29, 1.62, 1.98

kondor19780726 [428]

since the golden ratio its 1.618 I believe it would be 1.62

3 0

3 years ago

In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

2 years ago

What is the percentage of 0.39

Kitty [74]

Answer:

39%

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Jasmine works at the public library after school. She makes $7.00 per hour. She cannot work more than 15 hours per work. If y=7x

kotykmax [81]

Answer:

Step-by-step explanation:

Jasmine can work from 0 hours to 15 hours

6 0

2 years ago

a pineapple is 7 times as heavy as an orange. the pineapple also weight 870 grams more than orange what is the total weight in g

Alex Ar [27]

An orange ... o grams = ?
a pineapple ... p = 7 * o
p = 870 grams + o

If you would like to know what is the total weight in grams for the pineapple and orange, you can calculate this using the following steps:

7 * o = 870 + o
7 * o - o = 870
6 * o = 870 /6
o = 870 / 6
o = 145 grams

p = 7 * o = 7 * 145 grams = 1015 grams

Result: A pineapple weights 1015 grams and an orange 145 grams.

7 0

3 years ago

Read 2 more answers