Which of the following points is an equal distance (equidistant) from A(2, −2) and B(−4, 6)?

Based on past experience, a bank believes that 4% of the people who receive loans will not make payments on time. The bank has r

Nina [5.8K]

Answer:

Mean = 0.04

Step-by-step explanation: given that P = 4%

n = 300

the mean of the sampling distribution of the proportion of clients in this group who may not make timely payments will be

4/ 100 = 0.04

4 0

3 years ago

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

Factorise 5x 2 + 20x

pychu [463]

Answer:

5x^2 + 20x = 5x(x + 4)

Step-by-step explanation:

Here, we want to factorize;

5x^2 + 20x

To do this, we start by writing the common factors

The common actor that we can see which is in the form of the gcf of both is 5x

Thus, the factorization will be;

5x^2 + 20x = 5x( x + 4)

7 0

2 years ago

Fill in the table of values for the equation y = x + 2

sweet [91]

Answer:

-3

2

5

Step-by-step explanation:

3 0

3 years ago

A circle has a circumference of 8 It has an arc of length 32/5

Pepsi [2]

(176/35)^c=288°

answer is 288°.

3 0

3 years ago