the first six terms of a pattern are given below. write an equation to represent the pattern. 8,13,18,23,28 and 33

If p=5x and q=3x-1, show that 2pq=30x²-10x

Georgia [21]

Answer:

Solution in the attachment above..

<h3>Hope it helps uh. !!!</h3><h2 /><h2>Stay Safe!</h2>

5 0

1 year ago

How can you represent the solution to x= 5 graphically

baherus [9]

Step-by-step explanation:

x = 5 is a vertical line passing through the point (5, 0).

8 0

3 years ago

30 PT AND BRAINLIEST

oee [108]

If the design is the cube in the second answer then it would have a surface area of 25 cm per face of the cube because to get the surface are you would multiple side by side of a face and then to get the full cubes surface area multiple one faces surface area by six because the cube has six faces and to get the volume you cube the side length of 5cm to get 125cm cubed. Hope this helps.

3 0

3 years ago

A local agricultural cooperative claims that 55% of about 60,000 adults in a country believe that gardening should be part of th

insens350 [35]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample proportions for a proportion p in a sample of size n has $\mu = p, s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

The proportion is of 55%, hence $p = 0.55$

The sample has 300 adults, hence $n = 300$

Then, the mean and the standard error are given by:

$\mu = p = 0.55$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{300}} = 0.0287$

The probability is the p-value of Z when X = 0.5, hence:

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

By the Central Limit Theorem

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

$Z = \frac{0.5 - 0.55}{0.0287}$

$Z = -1.74$

$Z = -1.74$ has a p-value of 0.0409.

0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.

A similar problem is given at brainly.com/question/25800303

8 0

3 years ago

The denominator of a fraction is four more than the numerator. If both numerator and denominator are increased by eight, the sim

Naddik [55]

The denominator of the fraction is four more than the numerator. The fraction:
$\frac{x}{x+4}$

If both numerator and denominator are increased by eight, the simplified result is 5/6:
$\frac{x+8}{x+4+8}=\frac{5}{6} \\ \\
\frac{x+8}{x+12}=\frac{5}{6} \ \ \ |\times (x+12) \\ \\
x+8=\frac{5}{6}x+\frac{5}{6} \times 12 \\ \\
x+8=\frac{5}{6}x+10 \\ \\
x-\frac{5}{6}x=10-8 \\ \\
\frac{1}{6}x=2 \ \ \ |\times 6 \\ \\
x=12 \\ \\
\frac{x}{x+4}=\frac{12}{12+4}=\boxed{\frac{12}{16}}$

The original fraction is 12/16.

6 0

3 years ago