Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296

Answer: y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5

y-intercept = (0, 2)

y = (6/5)x + 2

y = 1.2x + 2

Answer:

70 percent

Step-by-step explanation:

first divide your part by your total: 28/40

then multiply the result by 100

so, 28/40=0.7. 0.7×100=70 percent

Answer:

The figure becomes congruent

Answer:

Stretched vertically by a factor of 17 and translated 17 units left

Step-by-step explanation:

Answer:

1.) f(x)

is translated 17 units left.

2.) ​ f(x)

​is vertically stretched by a factor of 17.

Step-by-step explanation:

2x³ = x • 2x², and

2x² (x + 3) = 2x³ + 6x²

Subtract this from the dividend to get a remainder of

(2x³ + 4x² - 5) - (2x³ + 6x²) = -2x² - 5

-2x² = x • (-2x), and

-2x (x + 3) = -2x² - 6x

Subtract this from the last remainder to get a new one of

(-2x² - 5) - (-2x² - 6x) = 6x - 5

6x = x • 6, and

6 (x + 3) = 6x + 18

This gives a new remainder of

(6x - 5) - (6x + 18) = -23

x does not divide -23, so we're done, leaving us with

[tex]\dfrac{2x^3+4x^2-5}{x+3}=2x^2-2x+6-\dfrac{23}{x+3}[/tex]

Answer:

y=2/5x-2

Step-by-step explanation:

The main equation you will need for this is y=mx+b

First, you have to find the slope. the equation for that is

-2-0 = -2  (y)

0-5= -5   (x)

A good way to remember this is rise over run or y is always over x

Slope = 2/5 (The negatives cancel out)

The great thing about this is that they have already given you your "y" intercept or "b" which is -2

Answer:

If you understand how I solved a you can do B. Keep at it!

Step-by-step explanation:

Answer: B  about 13 m

Step-by-step explanation:

Calculate 8²  = 64  and 10² = 100  Add to get 16

Then get √164 = =12.80624847

Round up to 13.  

Answer:-370

Step-by-step explanation:

Answer: 35

Step-by-step explanation: 36−(−4)+5−10 =40+5−10

45-10=35 :) hope this helps!

Answer:

Step-by-step explanation:

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 175

x = 25

Answer: 2 . (7)

Step-by-step explanation:2 7/9 equals to 2.(7)

It is, a so called, 'repeating' decimal

`~hope i helped~

Answer:

[tex]d = 2\sqrt{5}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(1-(-3))^2+(2-4)^2}[/tex]

[tex]d = \sqrt{(1+3)^2+(-2)^2}[/tex]

[tex]d = \sqrt{(4)^2+4}[/tex]

[tex]d = \sqrt{16+4}[/tex]

[tex]d = \sqrt{20}[/tex]

[tex]d = 2\sqrt{5}[/tex]

Answer:

I believe it is systematic system

Step-by-step explanation:

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

Answer:

Step-by-step explanation:

67 - u = 182

67 - 182 = u

-115 = u

Answer:

4 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

When adding fractions, you want to make the denominators of the fraction the same. To do this, we can multiply both the numerator and denominator of 3/4 by 3. When changing either a denominator or numerator in a fraction, you must do the same thing to the numerator as the denominator.

Now we have [tex]\frac{3\cdot3}{4\cdot3} = \frac{9}{12}[/tex]. To add 9/12 and 5/12, we keep the denominator the same, and add the numerators, getting [tex]\frac{9+5}{12} =\frac{14}{12}[/tex]. This is greater than 1, so we can take 12/12 from 14/12, and make it [tex]1 \frac{2}{12}[/tex]. If we then add 3, we get [tex]4 \frac{2}{12}[/tex], which simplifies to [tex]4 \frac{1}{6}[/tex]

Answer:

DOMAIN:

solution: x<0 or x>0

interval notation: ( -∞,0)U(0,∞)

RANGE:

solution :f(x) < 4 or f(x) >4

interval notation: (-∞,4)U(4,∞)

X-INTERCEPTS:

(5/24,0)

ASYMPTOTES:

vertical: x=0

horizontal: y=4

EXTREME POINTS:

none

Step-by-step explanation:

lol i didnt knw how much info u needed i hope this helps

The slope intercept form is y=mx+c, So y= -5/6x + 4 is in slope intercept form.

The general equation of slope intercept form is y=mx+c

where m is the slope and c is the y intercept

The given equation is y= -5/6x + 4, we have to check whether the given equation in slope intercept  form or not.

The given equation is y= -5/6x + 4...(1)

We know that general equation of slope intercept form is y=mx+c...(2)

As we compare equations (1) and (2), we find that equation (1) in the form of (2). so y= -5/6x + 4 is in slope intercept form.

Therefore y= -5/6x + 4 is in slope intercept form.

To learn more about slope intercept form click here : https://brainly.com/question/9682526

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Answer:

i think Point C

Step-by-step explanation:

Because Point A is you walking to the bus stop-

Point B is u waiting at the bus stop-

And point C is u on the bus

Sorry if it didn't help :/

Answer:

[tex]4p\: > 22[/tex]

[tex]four \: times \: a \: number \: p \: is \: \\ more \: than \: 22[/tex]

The expression of inequality four times a number p is more than 22 is

4p > 22.

Inequality compares two non-equal terms of both sides of the inequality sign. There are four types of inequality.

Given statement four times a number p is more than 22.

As it is stated more than we have to form an inequality strictly greater than 22 which is,

4p > 22.

p > 22/4.

p > 5.5.

This number p can also be represented on a real number line with an open circle at 5.5 and extended to infinity.

learn more about inequality here :

https://brainly.com/question/20383699

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An.

Step-by-step explanation:

Answer:

add 3, add 5, add 7, add 9

Step-by-step explanation:

1+3=4

4+5=9

9+7=16

16+9=25

add by odd numbers, for a simpler answer

Answer:

16- this question is already here from other people! :-)

Step-by-step explanation:

Answer:

y=-2x-100

Step-by-step explanation:

this is the only answer choice with a negative (decreasing) slope.  The temperature went down and the slope went down

Hope this helps!

Answer:

c

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (9-5)/(3-2)

m = 4

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is y= 4x -3

The y intercept is -3 and the slope of line is 4 .

Then the equation of line will be : y= 4x -3

Given,

Points on x and y axis .

Standard equation of line :

y = mx + c

m = slope of line

c = y intercept

Now

Firstly find out the slope of line ,

m = (y2-y1)/(x2-x1)\

m = (9-5)/(3-2)

m = 4

Now to calculate the value of y intercept

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is m = (y2-y1)/(x2-x1)

Know more about slope of line,

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Answer:

15

Step-by-step explanation:

i had this on a test

Answer:

-11.48

Step-by-step explanation:

-7.2 + (-4.28)

-7.2 - 4.28

-11.48