Science; What spheres make up Earth's systems?

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the m

White raven [17]

Answer :

1 (i).
$slope \: = - \frac{1}{6}$
(ii).
$midpoints \: = (1 \: \: \frac{17}{2} )$
(iii) .
$distance \: = \sqrt{37}$
2(i).
$slope \: = 2$
$gradient \: = - \frac{1}{2}$
I Hope it helps :)

8 0

3 years ago

Write the number in word form and in standard form 300,000,000+40,000,000+7,000,000+300,000+10,000+6,000+20+9

Citrus2011 [14]

Three hundread and forty-seven million three hundread and sixteen thousand and twenty-nine....347,316,029

4 0

3 years ago

HELP ME PLEASE!!!! I NEED THE ANSWER ASAP

Elza [17]

Yes
2828.
One says 28 is less than x and the other say x is more than 28.
It's just written in a different order is all.

7 0

3 years ago

Albert left his house on his bicycle riding at an average rate of 10 mph three hours before his son left by automobile his son o

ohaa [14]

In 3 hours, at 10 mph, Albert travels 30 miles. In 10 minutes (1/6 hr), while his son overtakes him, he travels 10/6 miles more, placing him at 30 + 10/6 = 190/6 = 95/3 mi.
His son covers 95/3 mi in 1/6 hr, so he's moving at (95/3)/(1/6) = 190 mph.

8 0

3 years ago

The weights of a certain dog breed are approximately normally distributed with a mean of 49 pounds, and a standard deviation of

AlekseyPX

Answer:

a. 74.86%

b. 50%

c. 50%

Step-by-step explanation:

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.

Normally distributed with a mean of 49 pounds, and a standard deviation of 6 pounds.

This means that $\mu = 49, \sigma = 6$

a. Find the percentage of dogs of this breed that weigh less than 53 pounds.

The proportion is the p-value of Z when X = 53. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{53 - 49}{6}$

$Z = 0.67$

$Z = 0.67$ has a p-value of 0.7486.

0.7486*100% = 74.86%, which is percentage of dogs of this breed that weigh less than 53 pounds.

b. Find the percentage of dogs of this breed that weigh less than 49 pounds.

p-value of Z when X = 49, so:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{49 - 49}{6}$

$Z = 0$

$Z = 0$ has a p-value of 0.5

0.5 = 50% of dogs of this breed that weigh less than 49 pounds.

c. Find the percentage of dogs of this breed that weigh more than 49 pounds.

1 subtracted by the p-value of Z when X = 49, so:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{49 - 49}{6}$

$Z = 0$

$Z = 0$ has a p-value of 0.5.

1 - 0.5 = 0.5 = 50% of dogs of this breed that weigh more than 49 pounds.

8 0

3 years ago