Ask question

Ask question

All categories

VashaNatasha [74]

2 years ago

8

This table shows how many sophomores and juniors attend two high school events . what is the probability that a randomly chosen

person from this group is a sophomore? round your answer to two decimal places.

2 answers:

bearhunter [10]2 years ago

8 0

Answer:

0.26 is the answer

Alik [6]2 years ago

3 0

Answer:

i think its 0.56

Step-by-step explanation:

You might be interested in

In equilateral ∆ABC with side a, the perpendicular to side AB at point B intersects extension of median AM in point P. What is t

Sergeeva-Olga [200]

Answer:

Perimeter = (2 + √3)·a

Step-by-step explanation:

Given: ΔABC is equilateral and AB = a

The diagram is given below :

AM is a median , PB ⊥ AB , PM = b

Now, by using properties of equilateral triangle, median is perpendicular bisector and each angle is of 60°.

We get, ∠AMB = 90°. So, by linear pair ∠AMB + ∠PMB = 180° ⇒ ∠PMB = 90°. Also, ∠ABC = 60° and ∠ABP = 90° (given) So, ∠PBM = 30°

Since, AM is perpendicular bisector of BC. So,

$MB = \frac{a}{2}$

Now in ΔAMB , By using Pythagoras theorem

$AB^{2}=AM^{2}+MB^{2}\\AM^{2}=AB^{2}-MB^{2}\\AM^{2}=a^{2}-(\frac{a}{2})^{2}\\AM=\frac{\sqrt{3}\cdot a}{2}$

Now, in ΔBMP :

$sin\thinspace 30^{o}=\frac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\sin\thinspace 30^{o}=\frac{\text{MB}}{\text{PB}}\\\\PB=\frac{\text{MB}}{\text{sin 30}}\\\\PB=\frac{\frac{a}{2}}{\frac{1}{2}}\implies PB = a\\\\tan\thinspace 30^{o}=\frac{\text{Perpendicular}}{\text{Base}}\\\\tan\thinspace 30^{o}=\frac{\text{MB}}{\text{PM}}\\\\PM=\frac{\text{MB}}{\text{tan 30}}\\\\PM=\frac{\frac{a}{2}}{\frac{1}{\sqrt3}}\implies PM=b= \frac{\sqrt{3}\cdot a}{2}$

Perimeter of ABM = AB + PB + PM + AM

$\text{Perimeter = }a+a+b+ \frac{\sqrt{3}\cdot a}{2}\\\\=2\cdot a + \frac{\sqrt{3}\cdot a}{2} +\frac{\sqrt{3}\cdot a}{2}\\\\=2\cdot a +\sqrt{3}\cdot a\\\\=(2+\sqrt3})\cdot a$

Hence, Perimeter of ΔABP = (2 + √3)·a units

3 0

2 years ago

Solve y=4x+rx+6 for x.

MariettaO [177]

Answer:

x = y−6/r+4

Step-by-step explanation:

Let's solve for x.

y=4x+rx+6

Step 1: Flip the equation.

rx+4x+6=y

Step 2: Add -6 to both sides.

rx+4x+6+−6=y+−6

rx+4x=y−6

Step 3: Factor out variable x.

x(r+4)=y−6

Step 4: Divide both sides by r+4.

x(r+4)/r+4=y−6/r+4

5 0

2 years ago

A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the sam

goldenfox [79]

Answer:

1,267,200

Step-by-step explanation:

Given that the map reported that the scale is 1 inch to 20 miles.

Recall that there are 63,360 inches in 1 mile, thus, in 20 miles, we have 20 x 63,360 = 1,267,200

Therefore, the scale of 1 inch to 20 miles can also be represented as 1 to 1,267,200

4 0

2 years ago

Simplify 12¹⁶/12⁴ .

Klio2033 [76]

$12^{12}$

subtract 4 from 16.

8 0

2 years ago

Read 2 more answers

Which expanded expressions represent the exponential expression (–4)3 · p4? Select all that apply. (–4) · (–4) · (–4) · (–4) · p

Alexxx [7]

Answer:

(-4)(-4)(-4)(p)(p)(p)(p)

Step-by-step explanation:

= $(-4)^3 * p^4$

The expanded form of it is:

= (-4)(-4)(-4)(p)(p)(p)(p)

4 0

2 years ago

Read 2 more answers