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2 years ago

The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find the numbers(help a sis out)

Mathematics

1 answer:

const2013 [10]2 years ago

3 0

Answer:

1st number = 4

2nd number = -1

Step-by-step explanation:

Let n = 1st number

Let m = 2nd number

2n + 4m = 4

n - m = 5

Substitu method, let n = 5 + m

2(5+m) + 4m = 4

10 + 2m + 4m = 4

6m = -6

m = -1

find n:

n - (-1) = 5

n + 1 = 5

n = 4

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3 years ago

A man walks 10 miles an ex hours how far does he walk in one hour which expression represents

kenny6666 [7]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

2 years ago

ANSWER PLEASE Tyler deposits $2000 and has a 8% interest compound quarterly. How much does he have Quarter 1,2,3,4 Show Work

guajiro [1.7K]

Answer:

If the time passed is only 3 months, then it is $2040

Step-by-step explanation:

We can use the quarterly compounded interest equation for this problem: P(1 + r/n)^nt

Step 1: Find out how much 3 months is in a year

<em>In this case, 3/12 which is 1/4</em>

Step 2: Plug in known variables into equation

2000[1 + (0.08)/4)]^[(4)(1/4)]

Step 3: Solve/Plug in calc

You will get $2040

If the time passed in the problem is 1 year, then we can be able to solve how much money he earned per quarter. However, since only 3 months have elapsed, then he has only earned $2040.

7 0

2 years ago