What value of x would satisfy the equation 6x-4(2x+1)= 10 as a improper fraction

if the machine can process 600 pretzels 15 minutes how long must the machine run in order to make 3120

kati45 [8]

78

step by step explanation:

first: divide 600 and 15

answer to 600/15: 40

second: divide 3120 and 40

final answer: 78

5 0

2 years ago

A father left 280 acres of land to be divided among his sons Al and Bob in the ratio 4:3, respectively. How many acres should Al

BartSMP [9]

Answer:

160 acres

Step-by-step explanation:

Given data

Total Amount of land= 280 Acres

Ratio=4:3

Total part = 4+3= 7

Applying the part to all method

let AI receive x acres

Then

4/7= x/280

cross multiply

7x= 280*4

7x=1120

x= 1120/7

x= 160

Hence AI will receive 160 acres

3 0

2 years ago

Quadrilateral ABCD has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to AB

Helen [10]

I think the correct answer from the choices listed above is option B. Quadrilateral ABCD must be a rectangle because it is characterized by having <span>opposite sides that are parallel and side AB congruent to side DC which are characteristics of a rectangle.</span>

8 0

3 years ago

Read 2 more answers

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 $s = \sqrt{\frac{p(1-p)}{n}}$