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2 years ago

You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a 1?

1 answer:

6 0

It's not specified whether 1 is the 1st or 2nd roll: HOWER:

The 1st Roll is "1": P(odd sum/the 1st Roll is 1)
What is the sample space of all numbers starting with "1":
{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),} = 6
the couple of add sum=(1,2), (1,4), (1,6), =3
P(odd sum/ 1st is 1) = 3/6 =1/2
or in applying the formula:

P(odd sum/the 1st Roll is 1) =P(odd sum ∩ 1) / P(getting "1") it will give the same probability = 1/2

NOW if the 2nd Roll is "1", it 's still 1/2

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A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1.

S_A_V [24]

Coordinates of point C: (1,-1)

Step-by-step explanation:

In this problem, A, B and C are collinear, and B is between A and C.

The ratio AB : BC is 3 : 1.

This means that we can write the following two equations:

$x_B-x_A = 3(x_C-x_B)\\y_B-y_A=3(y_X-y_B)$

where:

$(x_A,y_A)=(-7,3)$ are the coordinates of point A

$(x_B,y_B)=(-1,0)$ are the coordinates of point B

$(x_C,y_C)$ are the coordinates of point C

Solving the equation for $x_C$ ,

$x_C = x_B + \frac{x_B-x_A}{3}=-1+\frac{-1-(-7)}{3}=1$

Solving the equation for $y_C$ ,

$y_C=y_B + \frac{y_B-y_A}{3}=0+\frac{0-3}{3}=-1$

So, the coordinates of point C are

$C(-1,1)$

Learn more about how to divide segments:

brainly.com/question/3269852

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4 0

2 years ago

Thinking—Level 2 Get Started! Exit A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the

dsp73

Answer:

21 pieces of chickens.

Step-by-step explanation:

Given:

The farmer has a total of 40 animals. ( cows and chicken )

He counts the legs of all his animals and realizes he has a total of 118 legs.

Question asked:

How many chickens does the farmer have ?

Solution:

Let number of chickens = $x$

Then number of cows = $40-x$

Now, as here given that total number of legs are 118 of all the animals, and as we know that a chicken has two legs and cow has four legs, hence the equation will be :

<u>Total number of legs = Number of legs having chickens + Number of legs having cows</u>

$118 = 2x+4(40-x)\\118=2x+160-4x$

$118=-2x+160$

Subtracting both sides by 160

$-42=-2x$

By adding both sides by minus

$42 = 2x\\$

By dividing both sides by 2

$x =21$

Hence, farmer have 21 pieces of chickens.

8 0

3 years ago

..Urgent.. 600 students attend Ridgewood Junior High School. 10% of students bring their lunch to school everyday. How many stud

zysi [14]

Answer:

Number of student bring their lunch = 60

Step-by-step explanation:

Given:

Total number of student = 600

Student bring their lunch = 10%

Find:

Number of student bring their lunch

Computation:

Number of student bring their lunch = Total number of student x Student bring their lunch

Number of student bring their lunch = 600 x 10%

Number of student bring their lunch = 60

3 0

2 years ago

Three words that are synonyms to roots

grigory [225]

Answer:

Essence

Stem

Seed

Step-by-step explanation:

4 0

3 years ago

PLeAsE sEnD hElP !!!!!!!!!!!!!!!!

Luba_88 [7]

Answer:

5 units

Step-by-step explanation:

If DG, EG and FG are perpendicular bisectors of the sides of triangle ABC, then point G is the circumcenter of the triangle ABC and

BG = AG = CG as radii of the circumcirle.

Consider right triangle BEG. By the Pythagorean theorem,

$BG^2=EG^2+BE^2\\ \\BG^2=4^2+3^2\\ \\BG^2 =16+9\\ \\BG^2=25\\ \\BG=5\ units$

This gives us that

AG = BG = 5 units

3 0

2 years ago