PLEASE HELP!!!

write the equation of a line is perpendicular to the line y=2/3x-4 and passes through the point (6,3) in slope intercept form an

Alenkasestr [34]

Answer:

y = - $\frac{3}{2}$ x + 12

Step-by-step explanation:

y = $\frac{2}{3}$ x - 4

(6, 3)

y - 3 = - $\frac{3}{2}$ (x - 6)

y = -  $\frac{3}{2}$  x + 12

7 0

3 years ago

Why is positive 3 ?

ycow [4]

3 is positive because it is more than 0. Anything more than zero is positive.

4 0

3 years ago

A tree is 3ft tall casts a shadow that is 2ft long . Find the length of the shadow that a 6ft tree casts?

Alex17521 [72]

Answer:

The length of the shadow is 4ft long.

Step-by-step explanation:

6ft divided by 3ft equals 2ft. Then, multiply 2ft by 2ft equals 4ft long.

6 0

4 years ago

Ricardo and Tammy practice putting golf balls. Ricardo makes 47% of his putts and Tammy makes 51% of her putts. Suppose that Ric

yaroslaw [1]

Answer:

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, 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 $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

Ricardo makes 47% of his putts, and attempts 25 putts.

By the Central Limit Theorem, we have that:

$\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998$