Need help ASAP please and thank you

300x + 6,250=10,000

Nostrana [21]

Answer:

x= 25 /2 and/or 12.5

Step-by-step explanation:

Let's solve your equation step-by-step.

300x+6250=10000

Step 1: Subtract 6250 from both sides.

300x+6250−6250=10000−6250

300x=3750

Step 2: Divide both sides by 300.

300x /300 = 3750 /300

x= 25 /2

8 0

3 years ago

Read 2 more answers

A two digit number is to be formed from the digits 0,1,2,3,4 Repetition of the is allowed. find the probability that the number

ra1l [238]

<h2>Answer:</h2>

Sample space = {10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44}

∴ n(S) = 20 .

[i] Let A be the event that the number so formed is a prime number.

∴ A = {11,13,23,31,41,43}

∴ n(A) = 6

So, P(A) = n(A)/n(S) = 6/20

∴ P(A) = 3/10.

[ii] Let B be the event that the number so formed is a multiple of 4.

∴ B = {12,20,24,32,40,44}

∴ n(B) = 6

So, P(B) = n(B)/n(S) = 6/20

∴ P(B) = 3/10.

[iii] Let C be the event that the number so formed is a multiple of 11.

∴ C = {11,22,33,44}

∴ n(C) = 4

So, P(C) = n(C)/n(S) = 4/20

∴ P(C) = 1/5.

7 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through (4,3) and (2, -1)?

jeka94

Answer:

y = 2x - 5

Step-by-step explanation:

Step 1: Find slope m

m = (-1 - 3)/(2 - 4)

m = -4/-2

m = 2

y = 2x + b

Step 2: Find b

-1 = 2(2) + b

-1 = 4 + b

b = -5

Step 3: Rewrite equation

y = 2x - 5

4 0

4 years ago

What is the process of solving sequential pattern C,D,F,G,J,K,O,P,__

maw [93]

C, D, (skip E)

F, G, (skip H and I)

J, K, (skip L, M, and N)

O, P, ...

If the pattern the continues, then the next four letters (Q, R, S, and T) in the alphabet would be skipped and the next letter in the sequence would be U, then V, etc.

8 0

3 years ago

Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample

fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$