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3 years ago

What is the gradient between (0,3) and (1,8).

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

Step-by-step explanation:

Given

(x1 , y1) = ( 0 , 3)

(x2 , y2) = ( 1 , 8)

Now

Gradient =

$\frac{y2 - y1}{x2 - x1}$

$= \frac{8 - 3}{1 - 0} \\ = \frac{5}{1} \\ = 5$

Hope it will help :)

You might be interested in

What is the greatest perimeter of a rectangle with the same area of 39 square feet?

pantera1 [17]

There is no greatest perimeter. The longer and skinnier you make the rectangle,
the greater its perimeter will become, while the area remains the same.

Example:

6-ft by 6.5-ft .. . . area = 39 sq ft, perimeter = 25 ft
3-ft by 13-ft . . . . area = 39 sq ft, perimeter = 32 ft
1-ft by 39-ft . . . . area = 39 sq ft, perimeter = 80 ft
0.1-ft by 390-ft . . area = 39 sq ft, perimeter = 780.2 ft.

No matter how great the perimeter of the rectangle is, it can always be made
greater, while keeping the same area.

6 0

3 years ago

What is the unit rate of: y=1.5x

m_a_m_a [10]

The unit rate is the slope. In this case, the slope is 1.5 in this case.
The unit rate= 1.5

Hope I was able to help!

3 0

3 years ago

The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 re

Mariana [72]

Answer:

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

Step-by-step explanation:

Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Lots of 50 means that $N = 50$

5 are defective, which means that $k = 5$

4 are selected, which means that $n = 4$

Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

This is $P(X = 2)$ . So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430$

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

4 0

3 years ago

What is the period of the function? A. 2π B. 4π C. 6π D. 8π

kipiarov [429]

the period of the function is 4π

5 0

3 years ago

Read 2 more answers

ms. van rock's favourite part of pizza is the crust. which size pizza should she get to get 37.68 inches of crust?

Gekata [30.6K]

Answer:

The 12'' one.

Step-by-step explanation:

The crust is at the perimeter of the pizza, and the pizza is a circle, so we just need to calculate the perimeter of the different pizza sizes, and see which one has a perimeter of 37.68 in.

First, you should remember that for a circle of radius R, the perimeter is:

P = 2*3.14*R

(notice that the measures in the image are the diameters of the pizzas, and the radius is half of the diameter)

The radius that we need to have if we want a perimeter of 37.68 in is given by:

P = 37.68 in = 2*3.14*R

(37.68 in)/(2*3.14) = R = 6 inches.

Then we need a pizza of 6 inches (or a diameter of 2*6 inches = 12 inches)

Then the pizza that Ms. Van Rock should get is the 12 inch one.

5 0

3 years ago