During the recital, the pianist played for 1/4 of an hour. This was 1/8 of the

4y = 9x - 21<br> y = x-4

Anastaziya [24]

Answer:

x = 1

y = -3

Step-by-step explanation:

if y = x - 4

then reorganise the first equation

4 (x - 4) = 9x -21

4x - 16 = 9x - 21

5 = 5x

x = 1

5 0

3 years ago

Read 2 more answers

Please help ASAP!!!!!!!!!

algol [13]

Answer:

A = 23.6 units^2

Step-by-step explanation:

Let the base be 8 (as shown).

Find the height of the triangle: Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees. The side "opposite" this 80-degree angle is the height of the triangle:

height

sin 80 degrees = ---------------

6

and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.

The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:

A = (1/2)(8 units)(5.91 units), or

A = 23.64 units^2, or A = 23.6 units^2

3 0

3 years ago

How do u do this question?

goldenfox [79]

A --------¢ D

B --------¢ E

C --------¢ F

Just match like this buddy.

6 0

3 years ago

A recent study found that the average length of caterpillars was 2.8 centimeters with a

pogonyaev

Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

$\mu = 2.8, \sigma = 0.7$ .

The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:

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

$Z = \frac{4 - 2.8}{0.7}$