All categories

3 years ago

Suppose the original quantity is 75 and the new quantity is 105. What is the percent change?

Mathematics

2 answers:

Leno4ka [110]3 years ago

7 0

Answer:

the percent change is 40% increase

sattari [20]3 years ago

5 0

Answer:

40%

Step-by-step explanation:

105 is a 40% increase from 75

You might be interested in

I need help now btw i am in middle school

vodomira [7]

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

5 0

3 years ago

Read 2 more answers

When do you need to use two number lines to compare two fractions

OLEGan [10]

Depends on the fraction to determine your answer

4 0

3 years ago

How is 2y(z(z+5)+10) gotten from 2yz^2 +10yz +20y ? Please help!!!

Harrizon [31]

Answer:

Adding like terms! Hope this Helps!

6 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

3 years ago

A retailer ordered a combination of 50 black and white sweatshirts. Each white sweatshirt cost him $10 and

Brut [27]

The number of white sweatshirts is 28

Step-by-step explanation:

Let ordered black shirts be represented by b

Let ordered white shirts be represented by w

So total sweatshirts will be represented by the equation

b+w=50

The total cost of the ordered sweatshirts will be represented by

10b + 12 w= $556

For simultaneous equations as;

b+w=50

10b+12w=556

solving the equations using substitution method where b=50-w

10(50-w)+12w=556

500-10w+12w=556

-10w+12w=556-500

2w=56

w=56/2= 28

b=50-w=50-28=24

Number of white sweatshirts is 28

Learn More

Simultaneous equation :brainly.com/question/12919422

Keyword : cost

#LearnwithBrainly

4 0

3 years ago