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2 years ago

-13m = 1 - 14m what is the answer

Mathematics

1 answer:

salantis [7]2 years ago

6 0

Answer:

m = 1

Step-by-step explanation:

Step 1: Add 14m to both sides

-13m + 14m = 1 - 14m + 14m

m = 1

Answer: m = 1

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A major department store has determined that its customers charge an average of $500 per month, with a standard deviation of $80

julia-pushkina [17]

Answer:

Step-by-step explanation:

Since the amounts of charges are assumed to be normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the amounts of charges.

µ = mean amount

σ = standard deviation

From the information given,

µ = $500

σ = $80

a) the probability that customers charges more than $380 per month is expressed as

P(x > 380) = 1 - P(x ≤ 380)

For x = 380,

z = (380 - 500)/80 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

P(x > 380) = 1 - 0.067 = 0.933

The percentage of customers that charges more than $380 per month is

0.933 × 100 = 93.3%

b) the probability that customers charges less than $340 per month is expressed as

P(x < 340)

For x = 340,

z = (340 - 500)/80 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

The percentage of customers that charges less than $340 per month is

0.023 × 100 = 2.3%

c) the probability that customers charges between $644 and $700 per month is expressed as

P(644 ≤ x ≤ 700)

For x = 644,

z = (644 - 500)/80 = 1.8

Looking at the normal distribution table, the probability corresponding to the z score is 0.96

For x = 700,

z = (700 - 500)/80 = 2.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.994

P(644 ≤ x ≤ 700) = 0.994 - 0.96 = 0.034

The percentage of customers that charges between $644 and $700 per month is

0.034 × 100 = 3.4%

3 0

3 years ago

I need help on this final problem

bulgar [2K]

Answer:

1/2 (1 - 10 d)

Hope This Helps & Good Luck ^^

8 0

3 years ago

You have two parents, four grandparents, eight greatgrandparents, and so forth.

Leviafan [203]

A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or $2^{2}$ ancestors.
In the third generation we have 8 ancestors ot $2^{3}$ ancestors.

We can see that each succesive generation has two times more members. The sum is:
$2+4+8+16+...+ 2^{40}$

To calculate number of ancestors we can use formula for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
 $S= a_{1} * \frac{1- r^{n} }{1-r}$
Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
 $S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550$

b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = $10^{10}$
Number of ancestors in 40 generations = $2.2*10^{12}$

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.

8 0

3 years ago

What is the Value of x in the equation 2.5x + 10 = x-0.5 ?

marshall27 [118]

Answer: 7

Step-by-step explanation:

$2.5x+10=x-0.5\\2.5x-x+10=-0.5\\1.5x=-0.5-10\\1.5x=-10.5\\x=\frac{10.5}{1.5}\\ x=7$

7 0

3 years ago

Read 2 more answers

Will make bianleast no picture

natita [175]

Answer: 24, 24, 47

Step-by-step explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.

a + b > c & a + c > b & b + c > a

23 + 28 = 51 which is NOT greater than 55

15 + 30 = 45 which is NOT greater than 45

8 + 17 = 25 which is NOT greater than 25

24 + 24 > 47 & 24 + 47 > 24 & 24 + 24 > 27

all combinations are true so these side lengths can form a triangle

7 0

3 years ago