All categories

2 years ago

What can you do to get 2x alone on the equation? when finished, fill in the blanks and simplify the equation.

Mathematics

1 answer:

Tom [10]2 years ago

4 0

Answer:

2x = 256

Step-by-step explanation:

Your problem → 82.5 + 8(0.25x) = 338.5

82.5+8(0.25x)=338.5

⇒-256+80.25x=0

⇒2x-256=0

⇒2x=256

⇒x=256/2

⇒x=128

You might be interested in

Need help on this don't get it

Gnoma [55]

Your answer would be 62

3 0

3 years ago

I need help answering the rest of these questions

worty [1.4K]

You either need to add the two times together or you need to subtract them

4 0

3 years ago

Read 2 more answers

Wait i forgot what month is it?!?

Andrej [43]

Answer:

Today is Monday, May 17, 2021

6 0

3 years ago

Read 2 more answers

Problem Page

MrMuchimi

Answer:

1 machine must be made to minimise the unit cost.

Step-by-step explanation:

Step 1: Identify the function

x is the number of machines

C(x) is the function for unit cost

C (x) = 0.5x^2-150 + 21,035

Step 2: Substitute values in x to find the unit cost

C (x) = 0.5x^2-150 + 21,035

The lowest value of x could be 1

To check the lowest cost, substitute x=1 and x=2 in the equation.

When x=1

C (x) = 0.5x^2-150 + 21,035

C (x) = 0.5(1)^2-150 + 21,035

C (x) = 20885.5

When x=2

C (x) = 0.5x^2-150 + 21,035

C (x) = 0.5(2)^2-150 + 21,035

C (x) = 20887

We can see that when the value of x i.e. the number of machines increases, per unit cost increases.

Therefore, 1 machine must be made to minimise the unit cost.

3 0

3 years ago

Find the probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. rou

stiv31 [10]

Answer:

The probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%, is:

31.3% (Rounding to the nearest tenth)

Step-by-step explanation:

With the information provided, P = 0.5, n = 6 and k = 3, we can build the binomial distribution table, this way:

Binomial distribution (n=6, p=0.5)

f(x) F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0156 0.0156

1 0.0938 0.1094

2 0.2344 0.3438

3 0.3125 0.6563

4 0.2344 0.8906

5 0.0938 0.9844

6 0.0156 1.0000

Under the first column we have the probabilities of success of every value from 0 to 6, and under the second column we have the values for answering the question at least how much probability we have of any number of successes. Our question is exactly 3 successes in 6 trials and we see that value under the first column: 0.3125.

Therefore, the probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%, is:

31.3% (Rounding to the nearest tenth)

Let's recall that the formula for calculating the probability of exact successes is:

P(k out of n) = (n!/k!(n-k)!) * (p∧k*(1-p)∧(n-k))

in our case p=0.5, n=6, k=3

(n!/k!(n-k)!) = 20 and (p∧k*(1-p)∧(n-k)) = 0.015625

20 * 0.015625 = 0.3125

5 0

3 years ago