If K is the midpoint of JL, JK = 9x - 1 and KL = 2x + 27, find JL

For x = 0.33, the events G and H are mutually exclusive.

Here, we are given that-  

P(G) = 0.4

P(H) = x

and P(G or H) = 0.73

⇒ P(G∪H) = 0.73

Now, we know that-

P(G U H) = P(G) + P(H) - P(G ∩ H)

For any two events that are mutually exclusive, the probability that they occur at the same time is 0. Hence, if G and H are mutually exclusive, then P(G ∩ H) will be 0

⇒ 0.73 = 0.4 + x - 0

x = 0.73 - 0.4

x = 0.33

Thus, for x = 0.33, the events G and H are mutually exclusive.

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Answer:

Y= 0

Step-by-step explanation:

Because y=4 it would be a straight horizontal line so the other line would have to be horizontal

Answer:

1/3/4 are all correct

Step-by-step explanation:

For Paul to select 1 of his 4 children, the simulation tool must have the possibility of giving a result of 1/4 (i.e. 1 in 4 children). The simulation tools capable of these results are: (1), (3) and (4)

To determine which simulation tool is correct for the situation, we simply put each option to test.

Option (1)

[tex]Sections = 12[/tex]

[tex]Sub= 3[/tex]

Here, the simulation is done by calculating the probability of each subsection.

The probability is:

[tex]Pr = \frac{Sub}{Sections}[/tex]

[tex]Pr = \frac{3}{12}[/tex]

Simplify

[tex]Pr = \frac{1}{4}[/tex]

Option 2

[tex]Chips =12[/tex]

[tex]Sections = 2[/tex]

Here, the simulation is done by calculating the probability of each section.

The probability is:

[tex]Pr = \frac{Sections}{Chips}[/tex]

[tex]Pr = \frac{2}{12}[/tex]

Simplify

[tex]Pr = \frac{1}{6}[/tex]

Option 3

A standard deck has:

[tex]Cards = 52[/tex]

[tex]Suit = 13[/tex]

Here, the simulation is done by calculating the probability of each suit.

The probability is:

[tex]Pr = \frac{Suits}{Cards}[/tex]

[tex]Pr = \frac{13}{52}[/tex]

Simplify

[tex]Pr = \frac{1}{4}[/tex]

Option 4

[tex]Coins = 2[/tex]

Here, he needs to toss the coin 2 times. So, the possible sample space are:

[tex]S = \{HH, HT, TH, TT\}[/tex]

The probability of one of the outcomes is:

[tex]Pr = \frac{1}{n(S)}[/tex]

Where:

[tex]n(S) = 4[/tex] ---- number of outcomes

So:

[tex]Pr =\frac{1}{4}[/tex]

Option 5:

[tex]Sides =6[/tex]

The probability of getting 1 of the 6 faces is:

[tex]Pr = \frac{1}{6}[/tex]

Paul can only use simulations that give 1/4. Hence, (1), (3) and (4) are correct because they all equal 1/4.

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Answer:

the answer is 4.8$

jose brought ten items to the store and for cleaning he payed 48 &

that means that the avarge can be found by. $48.00÷10=$4.8

Answer:

$4.8

Step-by-step explanation:

Average means"mean"

mean=total money/number of items in this case.

=48/10

=4.8$

Answer:

Your answer is 5$ because robert bought 2 tickets for 10$ but Deion spent 20$ on 4 tickets so if we divide 20 by 4 then the answer will be 5.

Answer:

Step-by-step explanation:

5 dollars per movie ticket

Answer:

The answer is the first one:  -4 on Edge

Step-by-step explanation:

The y-value of the solution to the system of linear equations given is: A. -4.

Given two linear equations, such as:

4x + 5y = −12 --> Eqn. 1

-2x + 3y = −16 --> Eqn. 2

Multiply eqn. 1 by 2 and eqn. 2 by 4

8x + 10y = −24 --> Eqn. 3

-8x + 12y = −64 --> Eqn. 4

Add to eliminate x

22y = -88

22y/22 = -88/22

y = -4

The y-value of the solution is: A. -4.

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Answer:

26 times 1

Step-by-step explanation:

because its multiply

Answer:

It’s 26

Step-by-step explanation:

26 is used in each equation resulting in either 26 or 0

Answer:

64

Step-by-step explanation

Answer: combine like terms then divide dum dum

Step-by-step explanation:

Answer:young - 5 yeats old / old - 35 years old

Step-by-step explanation:

Answer:

walk around the river

Step-by-step explanation:

Answer:

- - 12 / 5

Step-by-step explanation:

Answer:

y=-5/3x+1

Step-by-step explanation:

The answer is y=-5/3x+1 because you would do the exact opposite of rise over run where it rises 5 units up and 3 units shifted right but instead it is still 3 units that are shifted to the right but 5 units down.  We can also assume that the y-intercept is 1 based on where the slope is placed.

Answer:

Yes it seems that it is right

sum (2M^2+m)+(2m^2+m)

different 5(m^2+ m)-(m^2+3M)

Answer:

8:12

Step-by-step explanation:

2+3=5

20/5=4

2x4=8

3x4=12

Using proportions, the amounts you have of each block are given as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

From the amounts given, you can create the following ratio:

Blue : Yellow : Orange : Red

6 : 4 : 1 : 0.25.

Hence the fractions corresponding to each color are given as follows:

Hence the number of blue blocks is found as follows:

6/11.25 x 47964 = 25,581.

The number of yellow blocks is given by:

4/11.25 x 47964 = 17,054.

The number of orange blocks is given by:

1/11.25 x 47964 = 4,263.

The number of red blocks is given by:

0.25/11.25 x 47964 = 1,066.

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Answer:

5/40

Step-by-step explanation:

1(5)=5

8(5)=40

5/40

Answer:

it should be 5/40 correct me if im wrong.

Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

Answ2/er:

Step-by-step explanation:

Answer: The total will drop by 20%

Answer:

A. Yes

B. Yes

C. No

D. No

Step-by-step explanation:

A is a linear equation, because it has an x with no exponent

B is a linear equation, because it has an x with no exponent

C is not a linear equation, because the exponent is more than 1

D is not a linear equation, because the exponent is more than 1

Answer:

Step-by-step explanation:

Answer:Number 1 I think is -24 because the minus sign is right next to the () so that means multiply so - times negative is + 24 but then it says opposite so 24

number 2 I think 8 because positive times negative is negative then the opposite is positive 8

number 3 is -15 cause positive times positive is positive then the opposite of  15 is -15

number 4 is positive 33 because negative times positive is negative then the opposite is postive 33

number 5 is 40

and number 6 is -6 hope this helps

Step-by-step explanation:

Answer:

2x-3y+3=0

2x+y-3=0

Step-by-step explanation:

For 41.

points are (0,1) and (3,3)

Equation in two point form is

(x - 0)(3-1) = (3-0) ( y-1)

2x= 3y - 3

2x-3y+3=0

For 42.

Points are (0,3) and (2,-1)

Equation is

(x-0)(-1-3)=(y-3)(2-0)

-4x = 2y -6

4x + 2y -6 = 0

or 2x + y -3 = 0

(5.2,7.6)

mean=6.4

standard deviation=0.6

we have to find the range in which at least 75% of the data will reside

1-1/k²=0.75

1/k²=1-0.75

1/k²=0.25

k²=1/0.25=4

k=2

so, k=2

The range of values can be computed as mean±k(standard deviation).

Thus, the range in which at least 75% of the data will reside is

(mean-k(standard deviation), mean+ k(standard deviation))

(6.4-2(0.6),6.4+2(0.6)

(6.4-1.2,6.4+1.2)

(5.2,7.6)

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Answer:

The value of x = 4

so

Step-by-step explanation:

We know that an angle bisector bisects the angle into two equivalent angles.

When BD bisects angle ABC, it forms two equivalent angles which are:

such as

m∠ABD = m∠CBD

as

m ∠ABD = 6x-8

m∠CBD = 3x+4

so the equation becomes

m∠ABD = m∠CBD

6x-8 = 3x+4

6x - 3x = 4 + 8

3x = 12

Divide both sides by 3

x = 4

Thus, the value of x = 4

so