I will give brainly
Below, the two-way table is given for a
class of students.
If a student is selected at random, find the
probability the student is a senior. Round
to the nearest whole percent.
[?]%

Answer:

4x-6=30

4x=36

x=9

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x = 9

Explanation:

Move all terms that do not contain x to the right side and solve.

Answer:

The answer is 6.3

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

Answer:

The answer is -0.71666666666 in decimal form.

In fraction form it is -43/60.

Step-by-step explanation:

Answer:

$765

Step-by-step explanation:

Given data

Principal= $750

Rate= 2%

Time= 1 year

The simple interest expression is given as

A=P(1+rt)

substitute

A= 750(1+0.02*1)

A= 750(1.02)

A= $765

Hence the final amount is $765

Answer:

just do it by Pythagoras theoram

Step-by-step explanation:

because it is a right angle

Answer:

Answer: There is 32in² more sand in the pyramid with greater volume.

step explanation:

Answer:

1.) Adjacent and form a linear pair

2.) Adjacent and form a linear pair

3.) Adjacent

4.) Not adjacent

Hope this helps!

Answer:

1.) Adjacent and form a linear pair

2.) Adjacent and form a linear pair

3.) Adjacent

4.) Not adjacent

Answer: Students have less than a dollar.

Step-by-step explanation:

Niall has $1/2

Mary has $1/10

Jack has $1/100

Add these up to see if they reach 1.

= 1/2 + 1/10 + 1/100

Convert to decimals by dividing the numerator by the denominator:

= 0.5 + 0.1 + 0.01

= $0.61

Students have less than a dollar.

Answer: [tex]24.02\ mph[/tex]

Step-by-step explanation:

Given

Boat is traveling due to north at [tex]v_{bf}=27\ mph[/tex]

The current is flowing [tex]60^{\circ}[/tex] west of south at [tex]v_f=8\ mph[/tex]

Suppose the actual velocity of boat is [tex]\vec{v_b}[/tex]

In vector notation we can write

[tex]\Rightarrow \vec{v_{bf}}=\vec{v_b}-\vec{v_f}\\\\\Rightarrow \vec{v_b}=\vec{v_{bf}}+\vec{v_f}[/tex]

Flow of current can be written as

[tex]\Rightarrow \vec{v_f}=-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}[/tex]

Insert the values of vectors

[tex]\Rightarrow \vec{v_b}=27\hat{j}-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+27\hat{j}-4\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+23\hat{j}[/tex]

Magnitude of the velocity is

[tex]=\sqrt{(4\sqrt{3})^2+(23)^2}\\=\sqrt{48+529}\\=24.02\ mph[/tex]

The actual direction and magnitude of the velocity of the boat is the sum of

the velocity of the boat and the velocity of the current both in vector form.

Reasons:

Direction of the boat = North

Speed of the both = 27 mph

Direction of the current = 60° west of south

Speed of the current = 8 mph

Required:

The actual speed and direction of the boat written in magnitude and

direction.

Solution:

The velocities given in vector form are;

Velocity of the boat, [tex]\vec {v}_{boat}[/tex] = 27·j

60° west of south = 30° south of west

Therefore;

Velocity of the current, [tex]\vec{v}_{current}[/tex] = -8 × cos(30°)·i - 8×sin(30°)·j

The actual velocity of the boat, [tex]\vec{v}_{actual}[/tex] = [tex]\mathbf{\vec {v}_{boat}}[/tex] + [tex]\mathbf{\vec{v}_{current}}[/tex]

Which gives;

[tex]\vec{v}_{actual}[/tex] = 27·j - 8 × cos(30°)·i - 8 × sin(30°)·j

[tex]\vec{v}_{actual}[/tex] = 23·j - (4·√3)·i

Therefore;

[tex]\vec{v} _{actual}[/tex] = -(4·√3)·i + 23·j

Which gives;

[tex]|v_{actual}|[/tex] = √((-4·√3)² + 23²) = √(577) ≈ 24.02

The actual direction of the boat, θ, is given by the arctangent of the ratio

of the vertical to the horizontal component of the velocity as follows;

[tex]\displaystyle \theta = arctan \left(\frac{23}{-4 \cdot \sqrt{3} } \right) \approx \mathbf{-73.24^{\circ}}[/tex]

Based on the horizontal and vertical component, the above angle θ is

approximately 73.24° relative to the negative x-axis, which is 90° - 73.24° =

16.76° west of north.

Therefore;

Learn more about vector quantities here:

https://brainly.com/question/1614684

9514 1404 393

Answer:

  300 blocks

Step-by-step explanation:

The number of blocks is ...

  (600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks

Answer:

36 cubic inches

Step-by-step explanation:

The prism is literally just the front section twice. Find the area of the front and then add it to itself

Answer:

the answer is 9

Step-by-step explanation:

6/10=x/15

10x=90

x=9

Answer:

10

Step-by-step explanation:

Answer:

56t

Step-by-step explanation:

Answer:

Option (iv) is correct.

Step-by-step explanation:

The linear equation is the equation in which the degree of the equation is 1.

(i) x/3 = 12

As the degree of equation is 1, so, it is a linear equation.

(ii) x + 1 = 6

As the degree of equation is 1, so, it is a linear equation.

(iii) x + y + z = 17

As the degree of equation is 1, so, it is a linear equation.

(iv) x y + x / y = 3

x y^2 + x = 3 y

The degree of equation is 3, so the equation is non linear.

Answer:

AA

Step-by-step explanation:

AA

Answer:

15+ 8d

After d day,she has read 15 +8d pages

Answer:

umm i believe it is positive 5

Step-by-step explanation:

i hope i helped

Answer:

2.432 * 10⁹

Step-by-step explanation:

Given the expression;

3.8*10² × 6.4*10⁶

= (3.8*6.4)× (10²*10⁶)

= 24.32*10⁸

= 2.432* 10¹ * 10⁸

= 2.432 * 10⁹

Hence the product expressed as a scientific notation is 2.432 * 10⁹

Answer:

4 tens, 3 twenties

Step-by-step explanation:

4 tens  ($40) and 3 ($60)  twenties work. I’m sorry I don’t have a formula for it though.

Answer:

At the very tip of one of the spiral arms, at the edge of the milky way.

OR C

Forgive me if i'm wrong

...

Answer:

C. In one of the spiral arms, about halfway between the center and the edge.

Step-by-step explanation:

Our solar system is located in the Orion Arm which is halfway between the center and the edge of the Milky Way.

Answer:

2.25 feet deep

Step-by-step explanation:

The volume was given as (11.13 cubic feet)

Length as (2.6 feet)

Width as(1.9 feet)

Volume of triangular prism can be written as ( length × width × height)

Volume= ( length × width × height)

Then substitute the values, we have

11.13 = 2.6 × 1.9 × height

Height= 11.13/(2.6×1.9)

= 11.13/4.94

= 2.25 feet

Answer:

Its definitley square to be precise so that's my answer, but its also a rhombus

Step-by-step explanation:

assuming a is 1, regardless, graph would always be square, which is a rhombus. hope  square is correct :)

Answer:

false

Step-by-step explanation:

this beacuse when is times with the base that shows the product thats the factor

Answer:

a. x is 55

b. 20 white marbles

Step-by-step explanation:

Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)

a. The number of identical marbles in the box, n = 60

The number of red marbles = x

The number of white marbles = The rest of the marbles which are not red

The probability that a marble drawn is white, P(y) = 1/12

Let 'y' represent the number of white marbles

From probability theory, we have;

The number of white marbles, y = n × P(y) = 60 × 1/12 = 5

The number of red marbles, x = n - y = 60 - 5 = 55

x = 55

b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;

Let Δy represent the number of white marbles added, therefore;

P(y) = (y + Δy)/(y + Δy + x)

∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16

5 × (60 + Δy) = 16 × (5 + Δy)

300 + 5·Δy = 80 + 16·Δy

16·Δy - 5·Δy = 300 - 80

11·Δy = 220

Δy = 220/11 = 20

The number of white marbles that must be added, Δy = 20 white marbles

Answer: 16%

Step-by-step explanation:

$25 - $21 = $4

Percentage = 100[discount / (original price)] % = 100($4 / $25) % = 16%

Answer:

28

Step-by-step explanation:

[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]

Answer:

6%

Step-by-step explanation: