Felicia is a girl who plays on a co-ed volleyball team. Besides Felicia, the team is made up of 7 boys and 4 other girls. The team decided to randomly select its team captain. What is the probability that Felicia will be selected team captain

Answers

Answer 1

Answer:

1/14

Step-by-step explanation:

There are 9 + 4 + 1 people to choose from. Total = 14

There is a 1/14 probability that she will be choosen.

Answer 2

Answer:1/12

Step-by-step explanation:


Related Questions

The perimeter of Δ ABC is 450 ft. If AB= 9x, BC=41x and CA=40x, what is the area of the triangle?

Answers

Answer:

[tex]A = 4500 ft^2[/tex]

Step-by-step explanation:

By definition:

The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.

We know that:

[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]

The perimeter is:

[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]

Now we find the length of the sides:

[tex]AB = 45\\BC = 205\\CA = 200[/tex]

Once the length of the sides is known, we use Heron's formula to calculate the area.

First I find the semiperimeter S.

[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]

Then the Area is:

[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]

What is the value of the expression 3.6x10^8 / 1.2x10^3

Answers

Answer:

3 × 10⁵

Step-by-step explanation:

[tex]\dfrac{3.6\times10^8}{1.2\times10^3}=\dfrac{3.6}{1.2}\times\dfrac{10^8}{10^3}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=3\times10^{8-3}=3\times10^5[/tex]

Final answer:

The value of the expression 3.6x10^8 / 1.2x10^3 equals 3x10^5. In this calculation, the coefficients are divided, and the powers of 10 are subtracted.

Explanation:

The question asks for the value of the expression 3.6x10^8 / 1.2x10^3. This is a division problem involving scientific notation. Here is the step by step solution:

Firstly, divide the coefficients: 3.6 ÷ 1.2 = 3 Then, subtract the powers of 10: 8 - 3 = 5 Thus, combining these results gives us 3x10^5

So, the value of the expression 3.6x10^8 / 1.2x10^3 equals 3x105.

Learn more about Scientific Notation here:

https://brainly.com/question/2005529

#SPJ2

A rock drops from a height of 60m. how long does it take for it to hit the ground?

Answers

Answer:

The answer is actually C. 3.5. I just answered this question on a quiz and I got it correct. I'm sorry for the late response but I hope this helps!

Find the area of the triangle, height=x, base=5/3x

Answers

Answer:

[tex]A=\frac{5x^{2}}{6}[/tex]

Step-by-step explanation:

Let's solve this by using the Area formula for a triangle:

[tex]A=\frac{1}{2}bh[/tex]

Base: [tex]\frac{5}{3}x[/tex]

Height: [tex]x[/tex]

Solve for A (Area)

[tex]A=\frac{1}{2}(\frac{5}{3}x)(x)[/tex]

[tex]A=\frac{5x^{2}}{6}[/tex]

Since we do not have a given value for [tex]x[/tex], this is as far as we can condense the equation.

Answer:

The area would be 5x^2/ 6x

Step-by-step explanation:

See the image

write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.​

Answers

Answer:

C. [tex]\frac{14}{21} = \frac{18}{27} =\frac{2}{3}[/tex]

Step-by-step explanation:

The given triangles are similar.

If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.

From the given figure, we are given two corresponding sides of each triangle.

We know the corresponding sides are proportion.

Let's form the proportion using the corresponding sides.

14 corresponds to 18

21 corresponds to 27

Therefore, [tex]\frac{14}{21} = \frac{18}{27}[/tex]

We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.

[tex]\frac{14}{21}  = \frac{2}{3}[/tex]

Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.

[tex]\frac{18}{27} = \frac{2}{3}[/tex]

Therefore, answer is  C. [tex]\frac{14}{21} = \frac{18}{27} = \frac{2}{3}[/tex]

The correct option is b. 14/18=21/27=7/9 ,The correct option for the ratio of corresponding sides for the similar triangles is 1:3.

The ratio of corresponding sides for the similar triangles can be expressed as follows:

Let's denote the larger triangle's sides as **\(a\) and \(b\)**, and the smaller triangle's sides as **\(c\) and \(d\)**.

Given:

[tex]- Larger triangle: \(a = 18\) and \(b = 27\)\\- Smaller triangle: \(c = 14\) and \(d = 21\)[/tex]

The ratio of corresponding sides is:

[tex]\[\frac{a}{c} = \frac{18}{14} = \frac{9}{7}\]Similarly:\[\frac{b}{d} = \frac{27}{21} = \frac{9}{7}\]Both ratios are equal to \(\frac{9}{7}\).[/tex]

To reduce the ratio to lowest terms, we divide both the numerator and denominator by their greatest common factor (which is 9 in this case):

[tex]\[\frac{9}{7} = \frac{9 \div 9}{7 \div 9} = \frac{1}{\frac{7}{9}} = \frac{1}{\frac{7}{3}} = \frac{1}{\frac{21}{9}} = \frac{1}{3}\][/tex]

Therefore, the reduced ratio of corresponding sides for the similar triangles is **1:3**.

QUICK !!
What is the image point of (2,-7) after a translation right 4 units and up 3 units ?

Answers

Answer:

(6, - 4)

Step-by-step explanation:

A translation of 4 units right is equivalent to adding 4 to the x- coordinate

A translation of 3 units up is equivalent to adding 3 to the y- coordinate

(x, y) → (x + 4, y + 3) ← translation rule

Hence

(2, - 7) → (2 + 4, - 7 + 3) → (6, - 4)

Anwser: (−2,−7)→(−2+4,−7−2)=(2,−9)

Explanation: {right 4 units: add 4 to x-coordinate}

down 2 units: subtract 2 from y-coordinate

PLEASE HELP ASAP <333

What is the sum of the geometric series ?

Answers

Answer:

Step-by-step explanation:

There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.

One:     6^(1 - 1) = 6^0 =      1

Two:     6^(2 - 1) = 6^1 =      6

Three:   6^(3 - 1) = 6^2 =   36

Four:     6^(4 - 1) = 6^3 =   216

Sum = 259

Write 0.214214214...as a fraction.

Answers

Answer:

012/1000

Step-by-step explanation:

PLEASE HELP!!!!

When the battle began, there were 30 percent more brigantines than men-of-war. If there were 260 brigantines, how many total ships took part in the battle?

Answers

i believe 3-4 ships took part in the battle

help me please asap!!!!!

Answers

Answer:

Step-by-step explanation:

It's simple just review the division and rules of exponents.

The slash means nothing more than divide 8/2=4 You're diving right? See!

The rule for exponents states that when diving exponents you subtract them, as you see x^3 near and under it is x so you divide the numbers and subtract the exponents.

8/2=4

exponents x^3/x subtract x^2

4x^2

next..6/2=3

exponents x^2-x=x   think of it as x is always 1 the exponent just shows you how many xs you have.

So, put the numbers together now 4x^2+3x if you're ever given a negative number just bring it to the opposite side of the line. There's many videos that you can watch online that should help!

The answer for your question would be, 4x^2+3x.

You're welcome!

What is the distance between points A and C

Answers

Answer:

Step-by-step explanation:

(- 4 - 2)² + (- 4 - 1)² = AC²

(- 6)² + (- 5)² = AC²

36 + 25 = AC²

AC² = 61

AC = √61

AC ~ 7.81 unitário

I hope I helped you.

Final answer:

The distance between points A and C is calculated using the displacement vector ĐAC, resulting in a distance of 4.5 km.

Explanation:

The student's question, 'What is the distance between points A and C', pertains to the calculation of displacement in a vector context within the field of Mathematics. To determine the displacement vector ĐAC, we apply the given information that point C is located three-quarters of the distance from point A to point B. If the full displacement from A to B, denoted as ĐAB, has a magnitude of 6 km, the displacement vector from A to C, which is ĐAC, has a magnitude of 0.75 times 6 km, which equals 4.5 km.

The displacement vector ĐAC is parallel to ĐAB and in the same northeasterly direction, indicating that the distance from A to C is simply 4.5 km. The student can understand that the magnitude of displacement is different from the distance traveled if the path taken is not a straight line; however, in this instance, the path is straight, and therefore, the displacement coincides with the actual distance covered.

To summarize, the distance between points A and C is the magnitude of the displacement vector ĐAC, which is 4.5 km.

Which of the following inequalities matches the graph? graph of an inequality with a solid horizontal line through the point 0, negative 1 and shading above the line

Answers

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

The inequality has the attached picture as its graph.. The inequality passes through (0,-1) and is a horizontal line. This means the inequality has the form y < b or y > b where b is the y-coordinate. Since the \shading is above the line then the values must be greater than -1. It is also a solid line so the inequality is equal to. The inequality is [tex]y\geq -1[/tex]

Find the slope of a line perpendicular to each given line x=3

Answers

Answer:

0 or undefined

Step-by-step explanation:

Answer:

The slope doesn't matter.

Step-by-step explanation:

Since the variable equals a constant, any y value would be perpendicular to x = 3.

So lines perpendicular to x = 3 would be,

y = 1y = 2y = 3And so on...

I need some help, thanks!

Answers

Answer:

2 sections.

Step-by-step explanation:

Given that number of students that had homework last night = 8

Given that number of students that had not homework last night = 4

Then total number of students = 8+4= 12

Then fraction of students that had not homework last night = 4/12

Alaina used that data to design a spinner with 6 congruent sections.

Then number of sections of Alaina's spinner the represents students who did not have homework = ( 6 section) ( 4/12 fraction)

= 6(4/12)

=24/12

=2

Hence final answer is 2 sections.

If the label of a can of yams were cut off and laid flat, which expression would give the area, A, of the label with the measurements shown?

Answers

Answer:

Step-by-step explanation:

yep hes correct C.) A = 2 • π • r • h

Step-by-step explanation:

The distance around a circle is the circumference, and the formula for it is

C = 2πr.

Taking the label off of the can and stretching it out makes this distance around the circle the length of the rectangular label.

To find the area of a rectangle, we multiply length and width; we know the length is 2πr.  The width of the rectangle is the height of the can; this makes the area

A = 2πrh. give him brainly not me

Answer:

its option c A=2 times pi times r times h

Step-by-step explanation:

1)Find the area of a parallelogram with base b and height h

b=82 cm
h=16.6 cm
a) 1,361.2 cm²

b)6,724 cm²

c)137.78 cm²

d)98.6 cm²

Answers

Answer:

i got A

Step-by-step explanation:

Final answer:

The area of the parallelogram is 1357.2 cm²

Explanation:

This question is based on basic understanding of geometry in general and about basics of parallelogram in particular.

There are two formulas to find area of parallelogram

1. By using the formula of area = ¹/₂ × d1 × d2 × sin Ф where; d1 and d2 are diagonals and sin Ф is the angle between diagonals.

2. By using the formula of area = b × h

Since, base and height are given in the question, second formula will be used

So, to find the area of a parallelogram, we use the formula:

A = base × height

Given:

Base (b) = 82 cmHeight (h) = 16.6 cm

Substituting the values in the formula, we get:

A = 82 cm × 16.6 cm = 1357.2 cm²

Therefore, the area of the parallelogram is 1357.2 cm²

Write the relationship between time and distance in this example

Answers

Answer:

Step-by-step explanation:

Y= .25x (12)

I think this is an equation for you question if not

Write a house runs a mile in 4 mins 1/4 = .25 miles /mins

You go with the second one i said. hope this gets brainlist

The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principal? Round your answer to the nearest cent.

Answers

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

[tex]98,000=P(1+\frac{0.041}{12})^{(12)(35)}[/tex]

[tex]98,000=P(1+0.003416)^{(420)}[/tex]

[tex]98,000=P(1.003416)^{(420)}[/tex]

98,000 = P(4.189386)

= 4.189386P = 98,000

P = [tex]\frac{98000}{4.189386}[/tex]

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

Answer:

$23,392

Step-by-step explanation:

Use the compound interest formula and substitute the values given: $98,000=P(1+.041/12)[tex]^{12(35)}[/tex]

Simplify using order of operations:

$98,000=P(1.003416667)[tex]^{420}[/tex]

P=$98,000(1.003416667)[tex]^{420}[/tex]

P≈$23,392

What happens to the volume of a rectangular prism when each of the dimensions is doubled?
A. It doubles.
B. it quadruples.
C. It is six times as great.
D. It is eight times as great.

Plzzz Help

Answers

I’ll go this D as well

Draw a plane intersecting a cube to get
The cross section indicated. Which answer. Thanks.

Answers

Answer:

It's B.

Step-by-step explanation:

A gives a triangle.

B gives a rectangle.

C gives a trapezoid.

D gives a square.

Help!!!!!!!!!!!!!!!!! Please!!!!!

Answers

Angle 1 is 105. Supplementary = 180. So 180-75=105

Answer:

<1 = 105

<2 =75

Step-by-step explanation:

Vertical angles are always equal. <2 = 75 because it is opposite a vertical angle.

<1 + <2 = 180                     (The two angles are given as supplementary to each other).

<1 + 75 = 180                     Subtract 75 from both sides.

<1 + 75 - 75 = 180 - 75      Combine

<1 = 105

Complete the truths table

Answers

Answer:

First Column:

T

F

F

F

Second Column:

F

T

T

T

Step-by-step explanation:

I'm assuming ~ means NOT and ^ means AND.

Evaluate the first column using AND logic; both inputs must be true for the output to be true.

Only the first case has both inputs true, so it will be the only one with a true output, the rest are all false.

Next, take the outputs from column one and apply NOT logic; the output will be the inverse of whatever the input was

Since the first case is true, its output will be false. Since the remaining cases are false, their outputs will be all true.

What is the measure of the missing angle?

88°


92°


98°


180°

Answers

since a triangles total angle is 180°, to find the answer you would subtract the 2 angles you are given from 180. 180-56-36= 88°, this being your answer.

Answer:

88°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 2 given angle and subtract from 180 for missing angle

missing angle = 180° - (56 + 36)° = 180° - 92° = 88°

Suppose 5x^3 + kx^2 – 7x - 6 = (5x + 2)(ax^2 + bx+c) for all x. Find the values of a, b,c, and k.

Answers

Answer:

see explanation

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms

(5x + 2)(ax² + bx + c)

= 5x(ax² + bx + c) + 2(ax² + bx + c) ← distribute parenthesis

= 5ax³ + 5bx² + 5cx + 2ax² + 2bx + 2c ← collect like terms

= 5ax³ + x²(5b + 2a) + x(5c + 2b) + 2c

For the 2 sides to be equal then like terms must equate, that is

5ax³ = 5x³ ⇒ 5a = 5 ⇒ a = 1

2c = - 6 ⇒ c = - 3

5b + 2a = k

5c + 2b = - 7 ← substitute c = - 3

- 15 + 2b = - 7 ⇒ 2b = 8 ⇒ b = 4

Substitute a = 1, b = 4 into 5b + 2a = k

20 + 2 = k ⇒ k = 22

The required values are

a = 1, b = 4, c = - 3 and k = 22

Can you help me on 34 and 35 please

Answers

-- #34 is choice-C .

-- See the picture attached to this answer, for both solutions.

There are 44 books per shelf and there are 8 shelves. 1/4 of these books are novels. How many novels will there be?

Answers

Answer: 88 Novels

Explanation:

Since there are 44 books per shelf and there are 8 shelves, we have a total of 44*8 or 352 books. Since only a quarter of them (1/4) are novels, we will multiply (1/4) and 352 together to get, 352*(1/4) equals 88 novels

Type the correct answer in each box. The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.

Answers

Answer: (Width x = 7) (Length 10)

Step-by-step explanation:

(x+3) + = 34/2

2x + 3 = 17

2x = 14

x = 7 -----------Width

10 ---------------Length

Answer: Width= 7 in.

               Length= 10 in.

Step-by-step explanation:

[tex]l=w+3[/tex]

The perimeter of the rectangle is 34 inches.

[tex]2(w+l)=34[/tex]

substitute

[tex]2(w+w+3)=34[/tex]

[tex]2(2w+3)=34[/tex]

distributive property [tex]a(b+c)=ab+ac[/tex]

[tex]2\cdot 2w+2\cdot 3=34[/tex]

[tex]4w+6=34[/tex]

[tex]4w+6-6=34-6[/tex]

[tex]4w=28[/tex]

divide 4 on both sides

[tex]w=7[/tex]

Width is 7 inches

substitute w=7 in equation [tex]l=w+3[/tex]

[tex]l=7+3[/tex]

[tex]l=10[/tex]

Length is 10 inches

You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor(the observatory) is 82°. If the total height of the building is another 123 meters above the 86th floor, what is the total height of the building?

Answers

base, b = 45m

angle of elevation, aoe = 82deg

height at 86th floor, h1

height above 86th floor, h2 = 123m

total height, h = h1 + h2

using

tan (aoe) = h1/b

=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2

h = h1 +h2 = 320.2 + 123 = 443.2m

Write an equation that gives the proportional relationship of the graph.

A) y = 1/3 x

B) y = 2x

C) y = 3x

D) y = 6x

Answers

Answer:

C

Step-by-step explanation:

A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).

6-0 = 6

2 -0 = 2

The ratio is vertical over horizontal so 6/2 = 3.

The equation is y = 3x.

Answer:

C) [tex]y=3x[/tex]

Step-by-step explanation:

1) Checking the coordinate points (2,6), (4,12),  (6,18), (8,24). And since the Proportionality Constant is given by

[tex]k=\frac{y}{x}[/tex]

[tex]k=\frac{y}{x}=\frac{6}{2}=\frac{12}{4}=\frac{18}{6}=\frac{24}{8}=3[/tex]

Then k=3

2) A Proportional Function is given by:

[tex]y=kx[/tex]

Thus we can state that proportional function rule as:

[tex]y=3x[/tex]

which type of probability requires the use of the addition rule. explain ?

Answers

When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event. P(A or B) = P(A) + P(B) so you add them

hope this helps :)

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