Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?

Answer:

8  5/9

Step-by-step explanation:

6 1/3 + 2 2/9

Get a common denominator of 9

6 1/3 *3/3  + 2 2/9

6 3/9 + 2 2/9

8  5/9

Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.

Average speed is s the total distance traveled by the object in a particular time interval.

Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]

We have,

Distance from Boston to Hyannis [tex]=70[/tex] miles

Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]

Distance from Hyannis to Dennisport [tex]=10[/tex] miles

Time from Hyannis to Dennisport [tex]=30[/tex] minutes

So,

Total distance travelled [tex]=70+10=80[/tex] miles

Total time taken [tex]=105+30=135\ minutes[/tex]

                             [tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]

So,

Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]

                                                                                            [tex]=\frac{60}{3}=20[/tex] miles per hour

And,

Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]

                                                                                          [tex]=35\frac{5}{9}[/tex] miles per hour

Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.

To know more about Average speed click here

https://brainly.com/question/12322912

#SPJ3

Answer:

The age is 7

Step-by-step explanation:

Devaughn's age is two times Sydney's age

and the sum of their ages is ? Let’s Sydney's age is X, Devaughn's age is (2X+X=21)

Therefore 3X=21

Rearranged is X= 21 divide 3

Therefore Sydney’s age is 7

Answer:

7/10

9/10 - ____ = 2/10

9 - 7 = 2

So, 9/10 - 7/10 = 2/10 or 1/5

Step-by-step explanation:

8 is missing for the table

Answer:

120 bananas

Step-by-step explanation:

$20 = 2000 cents

Create a proportion:  

Cross multiply, then divide: 3 × 2000 = 6000, 6000 ÷ 50 = 120

So, you can buy 120 bananas for $20

hope this helps

Answer:

[tex]y=5x[/tex]

Step-by-step explanation:

Insert the information into the point-slope formula to find slope-intercept form.

[tex]y-y_1=m(x-x_1)\\\\y-5=5(x-1)\\\\y-5=5x-5\\\\y=5x[/tex]

Answer:

Find the Circumference!

Step-by-step explanation:

Finding the circumferenfe is pretty simple!

On this question, it looks like the diameter is 14!

take the circumference and divide it by 2

14/2

Take the answer and multiply it by PI (3.14).

7 * 3.14 = 21.98

Answer:

763.4 ft^3 to the nearest tenth.

Step-by-step explanation:

The base radius = 1/2 * 18 = 9 ft.

The volume = π r^2 h

=  π * 9^2 * 3

= 763.407 f^3.

La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :

R = [tex]\sqrt{x^{2}+16x+64}[/tex]

Answer:

what question

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The value of P(x<6) is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.

So, P(x<6)

= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)

= 1/10 + 1/10+ 1/10 + 1/10 + 1/10

= 5/10

= 1/2

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ2

Step-by-step explanation: (5√5)−2x+1=

1

5

(125x)−3

0.008x+1=

1

5

(125x)−3

Step 1: Flip the equation.

1

5

(125x)−3=0.008x+1

Step 2: Add 3 to both sides.

1

5

(125x)−3+3=0.008x+1+3

1

5

(125x)=0.008x+4

Step 3: Divide both sides by 1/5.

1

5

(125x)

1

5

=

0.008x+4

1

5

125x=0.04x+20

The  value of x is 46.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.

Given:

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

ow, using exponents and powers

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]

[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]

[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]

Now, Comparing

-x+ 3/2 = 3x- 10

-x - 3x = -10 - 3/2

-4x = -23/2

x= 46

Hence, the value of x is 46.

Learn more about Exponents and powers here:

https://brainly.com/question/15722035

#SPJ2

Here according to angle sum property all angles sum u up 180°

So,

[tex]8x + 2 + 60 + 70 = 180 \\ 8x + 132 = 180 \\ 8x = 180 - 132 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]

- BRAINLIEST answerer

If Speed = dist/time, then;

dist = speed * time

We also know that both of them travel the same distance, so we equate the distance travelled to each other

36 * x+45 = 72 * x

36x + 1620 = 72x

72x - 36x = 1620

36x = 1620

x = 1620/36

x = 45 miles

learn more about distance covered here https://brainly.com/question/17894416

Answer:

1728 for A

7290000 for B

Step-by-step explanation:

Answer:

The selling price cost 472.5

Step-by-step explanation:

Let's find the profit first.

To find that, let's turn 5% to decimal form.

5 % = 0.05

Then, lets multiply it to the initial price which is 450

450 * 0.05 = 22.5

So the profit costs 22.5

Now, let's add the profit to the initial cost to find the selling price

450 + 22.5 = 472.5

That's it.

Answer:

y = 2.4

x = 30°

Step-by-step explanation:

5y = 12

[tex]\frac{5y}{5}[/tex]  = [tex]\frac{12}{5}[/tex]

Cancel both the 5 in numerator and denominator

y = [tex]\frac{12}{5}[/tex]

Divide 12 by 5

y = 2.4

All internal angles of a triangle must add up to 180°. So the angles of the bottom triangle is 60° each. As you can see, there's a right triangle on the right side and a right angle is 90°. So you just have to subtract 90° and 60° to get the angle of the missing angle which is 30°

x = 30°

i don't know how to explain it but i'm sure it's correct. Hope it helps

Answer:

True A. angles one and five are corresponding angles.

True B. angles three and six are alternate interior angles.

False C. angles two and seven are alternate interior angles.

Angles two and seven are alternate exterior angles.

False D. angles five and eight are alternate exterior angles.

Angles five and Eight are verticle angles.

False E. angles two and four are same-sided consecutive angles.

Angles two and four are supplementary angles

True F. angles four and six are same side consecutive angles.

True G. angles one and eight are alternate exterior angles.

Answer:

either 98 girls and 83 boys or 181 students in Ross elementary school

Step-by-step explanation:

98-15 is 83 so there are 98 girls and 83 boys there are also 181 students altogether.

Answer:

D  [tex]\sqrt{x+4}[/tex]

Step-by-step explanation:

Answer:

Heigh <= 63

Width <= 56

Length <= 61

Step-by-step explanation:

Height: x+7

Width: x

Length: x + 5

(x + 7) + (x) + (x + 5) <= 180 cm^3

3x + 12<= 180

3x <= 180-12

x <= 168/3

x <= 56

Answer:

its C. 1/5

Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

Answer:

simultaneous equation