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Novosadov [1.4K]
3 years ago
14

What is the slope-intercept form of the function described by this table?

Mathematics
1 answer:
marta [7]3 years ago
3 0
For every change of x by 1, y increases by 5.

So the gradient of the line is 5.

To find the y-intercept:

y = mx + c
2 = 5(1) + c
2 = 5 + c
c = -3

So the equation of the line is y = 5x - 3
You might be interested in
What is 160 ÷ 55 in the numerous fraction?​
Reil [10]
160/55.
Simplified version is 32/11
5 0
3 years ago
If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have?
gizmo_the_mogwai [7]

Answer:

<u>The regular polygon has 13 sides</u>

Correct statement and question:

If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have?

Source:

1,920° is not a valid value for a regular polygon. It should be either 1,980° or 1,800° (it has to be a multiple of 180). We pick 1,980° to answer the question.

Step-by-step explanation:

Let's recall that the formula of the sum of the interior angles of any polygon is:

Sum of Interior Angles = (n-2) * 180°, where n is the number of sides of the polygon.

Therefore, replacing with the value we know:

1,980 = (n-2) * 180

n - 2 = 1,980/180

n - 2 = 11

<u>n = 13</u>

7 0
3 years ago
A shipment of 50 inexpensive digital​ watches, including 10 that are​ defective, is sent to a department store. The receiving de
ddd [48]

Answer: 0.8926

Step-by-step explanation:

Given : A shipment of 50 inexpensive digital​ watches, including 10 that are​ defective.

The probability that a digital​ watch is defective : p=\dfrac{10}{50}=0.2

Sample size : n=10

Also, they reject the whole shipment if 1 or more in the sample are found defective.

Using the binomial probability formula :

P(x)=^nC_xp^x(1-p)^{n-x}

Let x be the random variable that represents the number of defective watches.

The probability that the shipment will be​ rejected :-

P(x\geq1)=1-P(0)\\\\=1-^{10}C_0(0.2)^0(0.8)^{10}\\\\=1-(0.8)^{10}=0.8926258176\approx0.8926

Hence, the probability that the shipment will be​ rejected = 0.8926

6 0
3 years ago
QUESTION 18 I want to build a right triangular garden on the side of my house. Find the sides of the triangle if the hypotenuse
34kurt
The diagram of the right-angled triangle is shown below

Using the Pythagoras theorem
6² = a²+a²
36 = 2a²
18 = a²
a = √18 = 3√2

5 0
3 years ago
Solve the following inequalities for the variable, x.
Ede4ka [16]

multiply both sides by 3

Step-by-step explanation:

3(x/3)+3(5)<12×3

x+15<36

x<36 _15

x<21

7 0
1 year ago
Read 2 more answers
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