The ratio 3:5 can be written in the form 1:n choose n from the following

Determine the approximate ordered pair for f(x) = g(x). the graph of two linear functions negative 4 times x plus 15 times y equ

melisa1 [442]

Answer:

(x, y) ≈ (2.848, -19.241)

Step-by-step explanation:

I find it much easier to work with the problem statement when math expressions are written using numbers and symbols. We assume you have ...

-4x +15y = -300

20x +4y = -20

Dividing the second equation by 4 and subtracting the x-term gives ...

y = -5-5x

Substituting that into the first equation, we get ...

-4x +15(-5-5x) = -300

-79x -75 = -300

x = -225/-79 = 2 67/79 ≈ 2.8481

Substituting this into the equation for y gives ...

y = -5(x +1) = -5(3 67/79) = -19 19/79 ≈ -19.2405

The approximate solution is ...

(x, y) = (2.8481, -19.2405)

3 0

2 years ago

In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hir

Ede4ka [16]

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}= p$

The standard deviation of this sampling distribution of sample proportion is:

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

(a)

The sample selected is of size n = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0204^{2})$ .

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.96$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size n = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0306^{2})$ .

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.31$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

6 0

2 years ago

8+4=8 6+5=30 4+3=12 THEN 10+ 6 =?

kari74 [83]

Answer:

this is a trick question. the answer is most likely just 16 lol

3 0

1 year ago

Read 2 more answers

What set of three numbers could represent the lengths of the side of a right triangle?

klemol [59]

Answer:

C.) 5, 12, 13

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).

a² + b² = c²

We can test each set of numbers to see which one fits.

A.) 8² + 12² = 16²

64 + 144 = 256

208 ≠ 256

B.) 6² + 7² = 8²

36 + 49 = 64

85 ≠ 64

C.) 5² + 12² = 13²

25 + 144 = 169

169 = 169

The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.

D.) 16² + 32² = 36²

256 + 1024 = 1296

1280 ≠ 1296

7 0

2 years ago

How can I write 0.4 in word form ?

Art [367]

Answer:

four tenths

Step-by-step explanation:

5 0

2 years ago