7) At the beginning of the weekend a swimming pool contains 1,800 gallons of water. Every hour 7 gallons are splashed

What is the answer to the problem 1-(-18)

Tamiku [17]

Answer:

19

Step-by-step explanation:

1-(-18)

=1+18

=19

6 0

3 years ago

A textile company has specific dyeing and drying times for its different cloths. A roll of Cloth A requires 50 minutes of dyeing

lina2011 [118]

Answer: 9 rolls of cloth A and 44 roles of cloth B

Step-by-step explanation:

Let x represent the number of rolls of cloth A that can be dyed and dried.

Let y represent the number of rolls of cloth B that can be dyed and dried.

A roll of Cloth A requires 50 minutes of dyeing time. A roll of Cloth B requires 55 minutes of dyeing time. The production division allocates 2280 minutes of dyeing time. This means that

50x + 55y = 2880- - - - - - - -1

A roll of Cloth A requires 45 minutes of drying time. A roll of Cloth B requires 30 minutes of drying time. The production division allocates 1740 minutes of drying time. This means that

45x + 30y = 1740- - - - - - - -2

Multiplying equation 1 by 45 and equation 2 by 50, it becomes

2250x + 2475y = 129600

2250x + 1500y = 87000

Subtracting, it becomes

975y = 42600

y = 42600/975

y = 44

Substituting y = 44 into equation 1, it becomes

50x + 55 × 44 = 2880

50x + 2420 = 2880

50x = 2880 - 2420

50x = 460

x = 460/50

x = 9

4 0

3 years ago

ANSWER FAST!!

Vika [28.1K]

Answer:

y = -2/7x - 32/7

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -2/7

y = -2/7 x+b

We know a point on the line is (5,-6)

Substitute this into the equation

-6 = -2/7(5) +b

-6 = -10/7+b

Add 10/7 to each side

-6 +10/7 = b

-42/7 + 10/7 = b

-32/7 = b

y = -2/7x -32/7

7 0

3 years ago

Natalie has 350 pencils. She is packing them in boxes that each hold 14 pencils. How many boxes will Natalie fill with pencils?

ohaa [14]

Answer:

25

Step-by-step explanation:

350/14=25

Natalie will fill 25 boxes with pencils.

3 0

3 years ago

According to a study conducted in one city, 39% of adults in the city have credit card debts of more than $2000. A simple random

Butoxors [25]

Answer:

The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean $\mu = 0.39$ and standard deviation $s = 0.0488$

Step-by-step explanation:

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

In this question:

$p = 0.39, n = 100$

Then

$s = \sqrt{\frac{0.39*0.61}{100}} = 0.0488$

By the Central Limit Theorem:

The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean $\mu = 0.39$ and standard deviation $s = 0.0488$

5 0

3 years ago