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3 years ago

How do you work out the gradient of a line?

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

6 0

Step-by-step explanation:

The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 . To find the gradient of a curve, you must draw an accurate sketch of the curve.

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The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.

Natalija [7]

Answer:

The sample size should be approximately 151.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 100

Population standard deviation, σ = 15

We have to evaluate the sample size, n.

Alpha, α = 0.10

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

$100 \pm 1.64(\frac{15}{\sqrt{n}} ) = (98,102)$

$100 \pm 1.64(\displaystyle\frac{15}{\sqrt{n}} ) = (98,102)\\\\1.64(\frac{15}{\sqrt{n}} ) = 2\\\\n = 151.29 \approx 151$

Thus, the sample size should be approximately 151.

6 0

2 years ago

Alicia uses 3/4 gallon of paint to paint her room. Becca uses for 4/5 gallon more than Alicia to paint her room. How many gallon

Maurinko [17]

Answer:

23/10 gallons

Step-by-step explanation:

Alicia uses 3/4 gallon of paint to paint her room.

Alicia use = 3/4 gallon of paint

Becca uses for 4/5 gallon more than Alicia to paint her room.

Becca uses = Alicia (3/4 gallons ) + 4/5

Becca uses = $\frac{3}{4} + \frac{4}{5}$

Total paint used together = Aliccia used + Becca used

$\frac{3}{4}+\frac{3}{4} + \frac{4}{5}$

Add like fractions 3/4 + 3/4 becomes 6/4

$\frac{6}{4} + \frac{4}{5}$

Make the denominators same

$\frac{6*5}{4*5} + \frac{4*4}{5*4}$

$\frac{30}{20} + \frac{16}{20}$

$\frac{46}{20}$

Divide top and bottom by 2

$\frac{23}{10}$ gallons

6 0

3 years ago

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wi

valentina_108 [34]

Answer: 1 inches = 6 inches

Step-by-step explanation:

From the question, we are informed that an image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor and that the actual width of the book is 9 inches.

Based on the above analysis, the scale that is being used for the image is:

= 1.5/9

= 1/6

= 1:6

Therefore, the scale is used is:

1 inches = 6 inches

3 0

3 years ago

What are the coordinates of the vertex of the function f(x) = x2 - 12x + 5?

FinnZ [79.3K]

Answer:

The vertex is the point (6,-31)