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3 years ago

Find the equation of the line with the points (-2, 3) and (4,-8)

Mathematics

1 answer:

kherson [118]3 years ago

7 0

Answer:

-3/2

Step-by-step explanation:

By using

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In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the b

myrzilka [38]

Answer:

D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.

Step-by-step explanation:

The Number of boxes = 6

Box containing a prize = 1

Probability of success, p = box containing a price / number of boxes = 1 /6

Number of trials = 5

Probability of success on exactly 2 trials, r = 2

Hence,

P(r = 2) = nCr * p^r * (1-p)^(n-r)

n = 5 ; r = 2 ; p = 1/6

Using a binomial probability calculator :

P(r = 2) = 0.1608

8 0

4 years ago

A turtle population grows in a manner that closely resembles a geometric sequence. Given the table of values, determine the turt

AleksandrR [38]

The turtle population will be 486 after 5 years.

<u>Step-by-step explanation</u>:

The general form of a geometric progression or geometric sequence is a, ar, ar², ar³ and so on.

where,

a = first term
r = common ratio

<u>The formula to find the nth term in GP is :</u>

nth term = $ar^{n-1}$

The given sequence 6,18,54.

In this sequence,

The first term, a = 6
The common ratio, r = 18/6 = 3

5th term = $6\times3^{5-1}$

⇒ $6\times3^{4}$

⇒ 6 $\times$ 81

⇒ 486

Therefore, after 5 years the population will be 486.

5 0

4 years ago

Small sample: During an economic downturn, companies were sampled and asked whether they were planning to increase their workfor

leva [86]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The confidence level interval is $0.016 \le C \le 0.404$

Step-by-step explanation:

The sample size is $n = 20$

The number planning to increase workforce is $x = 3$

The confidence level is $c = 98$ %

The value of proportion for a plus 4 method is

$p = \frac{x+2}{n+4}$

substituting values

$p = \frac{3+2}{20+4}$

$p =0.21$

The z-critical value at confidence level of 98% is

$z_{c}=z_{0.98} = 2.33$

This values is obtained from the standard normal table

The confidence level interval can be mathematically represented as

$C =p \ \pm z_{c} * \sqrt{\frac{p(1-p)}{n+4} }$

substituting values

$C = 0.21 \pm 2.33 * \sqrt{\frac{0.21(1- 0.21)}{20 +4} }$

$C = 0.21 \pm 0.194$

=> $0.016 \le C \le 0.404$

7 0

3 years ago

(02.02)

const2013 [10]

Y = 125000

x = 0.25(125000) + 62500 = 31250 + 62500 = 93750

Answer: 93750

8 0

3 years ago

How do I solve 5(24,500)+4b+3(10,100)=$210,400

puteri [66]

Answer:

use a calculator

Step-by-step explanation:

5 0

3 years ago

Find the equation of the line with the points (-2, 3) and (4,-8)​

Find the equation of the line with the points (-2, 3) and (4,-8)