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3 years ago

Find the equation of the linear function represented by the table below in slope-

Mathematics

1 answer:

saveliy_v [14]3 years ago

8 0

Answer-

y = -1x or y = -x

Explanation-

Step 1: Look for a pattern in the x column and the y column.

X = -1, 3, 7, 11
(The pattern is that you add 4 with every number)

Y= 0, -4, -8, -12
(The pattern is that you subtract 4 with every number)

Step 2: Create and (if needed) simplify the slope

Slope = y/x

Slope -> -4/4

Simplified Slope -> -1

Step 3: Put it in slope-intercept form

Slope-intercept form -> y = mx + b

y = -1x + 0 -> y = -1x or y = -x

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Here is a set of signed numbers: 10,-4, 3,-0.8, 0.8, -1, -2

frozen [14]

-4, -2, -1, -0.8, 0.8, 3, 10

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3 years ago

Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1

Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

$P(x=r)=^nC_rp^rq^{n-r}$

(a) Exactly two will be drunken drivers.

$P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}$

$P(x=2)=66(0.2)^{2}(0.8)^{10}$

$P(x=2)=\approx 0.28347$

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

$P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)$

$P(x=3\text{ or }x=4)=P(x=3)+P(x=4)$

Using binomial we get

$P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}$

$P(x=3\text{ or }x=4)=0.236223+0.132876$

$P(x=3\text{ or }x=4)\approx 0.369099$

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

$P(x\geq 7)=1-P(x$

$P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]$

$P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]$

$P(x\leq 7)=1-[0.9961]$

$P(x\leq 7)=0.0039$

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

$P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)$

$P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315$

$P(x\leq 5)=0.9806$

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0

3 years ago

Match the measures of each angle

Tresset [83]

Polygons, Number of sides, Measure is angles, and angle sums

5 0

3 years ago

If the perimeter of a square is 20, find the length of a diagonal

avanturin [10]

Answer:

7.07

Step-by-step explanation:

<h2><u>Length</u></h2>

a square has equal length on each side

hence is the perimeter is 20 it means that :

each side is 20/4 = 5

we can make a diagonal line which create 3 right angled triangles

2 sides of the triangle are 5 , this is the base and the height

to find the length we can make use of the Pythagoras theorem

c^2 = a^2 + b^2

c is the hypotenuse ( the diagonal;)

a and b are the opposite and adjacent

hence :

c^2 = 5 ^2 + 5^2

c^2 = 50

c = $\sqrt{50}$

c = 7.071

to 3sf

<h3><u>diagonal length = 7.07</u></h3>

6 0

3 years ago

Which equation represents circle C?

OleMash [197]

Answer:

Step-by-step explanation:

3 0

3 years ago

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