The Central High School students voted to select a school mascot. The results
of the vote are recorded in the table. What is the probability that a randomly
selected senior voted for an eagle mascot?
Class Falcon Eagle Total
Freshman 155 90 245
Sophomore 160 65 225
Junior 100 130 230
Senior 165 55 220
Total
580 340 920

Answer:

Step-by-step explanation:

The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.

hope this helps

Answer:

$2640

Step-by-step explanation:

Sheila's car payment is 9% of her total income.

let i = total income

this equation can be used to represent the information :

9%  x i = $297

to determine i, divide both sides of the equation by 9%

$297 / 0.09 = $3300

After the marriage, the car payment which is 3300 would be 5% of the combined income.

let c = combined income

5% x c = $297

c = $297 / 0.05 = $5940

Ryan's income = combined income - Sheila's income

$5940 - $3300 = $2640

Answer:

hi

Step-by-step explanation:

hi

Answer:B hope this helps! :D

Step-by-step explanation:

Answer:

6, 3.5.

Step-by-step explanation:

Start with the 12 foot measurement. 1 inch of the drawing represents 2 feet, so divide 12 feet by 2 to find out how many inches represent 12 feet. 12/2 is 6. Do the same with the 7 foot measurement. 7/2 is 3.5, so the drawing of the 7 foot side will be 3.5 inches.

Answer:

95/9

Step-by-step explanation:

It will be easier for us to make the mixed numbers fractions.

2 1/3 = 7/3

8 2/9 = 74/9

now we want them to have the same denominator so we multiply the 7/3 fraction by 3/3.

21/9 + 74/9 = 95/9

Answer:

b; 1 real root and 2 imaginary roots

Step-by-step explanation:

From here, we have

x(x^2 + 121) = 0

x = 0 (1 real root)

or

x^2 + 121 = 0

x^2 = -121

x = √(-121) (2 imaginary roots)

so is would be two complex numbers from above

Answer:

-4x-6

4x-40

-7x-30

Step-by-step explanation:

Kayaker=12.5, so 12 knots

Commercials=9 commercials per hour

Dog= 7 miles

Tutoring=750 dollars

[tex]( - 6 + 2y)[/tex]

answer the question

Answer:

n = 13

Step-by-step explanation:

20= -6+2n

Add 6 to each side

20+6= -6+6+2n

26 = 2n

Divide each side by 2

26/2 = 2n/2

13 =n

Given:

Number of students who has a cat and a dog = 5

Number of students who has a cat but do not have a dog = 11

Number of students who has a dog but do not have a cat = 3

Number of students who neither have a cat nor a dog = 2

To find:

The probability that a student has a cat given that they do not have a dog.

Solution:

Let the following events:

A = Student has a cat

B = Do not have a dog

Total number of outcomes is:

[tex]5+3+11+2=21[/tex]

The probability that a student has a cat but do not have a dog is:

[tex]P(A\cap B)=\dfrac{11}{21}[/tex]

The probability that a student do not have a dog is:

[tex]P(B)=\dfrac{11+2}{21}[/tex]

[tex]P(B)=\dfrac{13}{21}[/tex]

The conditional probability is:

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{\dfrac{11}{21}}{\dfrac{13}{21}}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{11}{13}[/tex]

Therefore, the probability that a student has a cat given that they do not have a dog is [tex]\dfrac{11}{13}[/tex].

I'm pretty sure its just the last 3

Answer:

1187.52 yd^2

Step-by-step explanation:

SA=2πrh+2πr^2

R=9

H=12

So, 2(3.14)(9)(12)+2(3.14)(9)(9)=1187.57yd^2

Answer:

MEAN 5.8 add all the points up then divide by the number of dots

MEDIAN 5 the middle of the data

MODE 5 most accruing one

RANGE 7 maximum minus minimum

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

Answer:

the difference between x and y is x-y.

Step-by-step explanation:

Answer:

22=22

Step-by-step explanation:

33-11

22

22=22

Answer:Ans :RuiFeng 18 yrs, Raj 9 yrs, Khairul 11 yrs

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

180 in a triangle,

110 + 25 = 135

add on 45 = 180

Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.

Answer:

x

y

−

2

80

−

1

38

0

−

4

1

−

46

2

−

88

Step-by-step explanation:

Step-by-step explanation: it means no solution

hope it is helpful to you

Answer:

This equation has no solutions

Step-by-step explanation:

3(s+4)=s+10+2s

Distribute

3s+12=s+10+2s

Add like terms

3s+12= 3s+10

Subtract 3s from both sides

0  + 12=10

This equation has no solutions

Answer:

yes

Step-by-step explanation:

10 is half of 20 but the equation is 11/20 therefore 11/20 is greater than 10/20=1/2

Answer:

Step-by-step explanation: Finding the height can be solved using a simple formula using the length of the base and the area. You should multiply length times area! hope this helps.

Answer:

wel swam 86 meters. Tyrel swam 53 meters. so what is the question

Answer:

Im guessing its who swam faster.