Determine whether the events are independent or dependent: selecting a jellybean and then choosing a second jellybean without replacing the first jellybean

Answers

Answer 1

Answer: It is independent because picking one jelly bean does not affect picking another one.

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What is the solution of the equation sqrt 2 x+4-sqrt x=2

Answers

there are 2 answers to this

x=0
x=16

A theater has a seating capacity of 750 and charges $5 for children, $7 for students, and $9 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4950. How many children attended the show

Answers

Let 'c' be the number of children, 'a' be the number of adults and 's' be the number of students in the theater.

Since, there are total 750 people in the theater.

So, c + s + a = 750 (Equation 1)

Now, it is given that there were half as many adults as children and students combined.

So, $a= (c+s)/(2)$

So, $c+s = 2a$

Putting the value of "c+s" in equation 1.

$c+s+a=750$

$2a+a = 750$

$3a= 750$

a = 250

Now, it is given that the receipts totaled $4950 and it charges $5 for children, $7 for students, and $9 for adults.

So, $( 5 * c) +( 7 * s )+ (9 * a) = \$4950$ (equation 2)

Since, $c+s = 2a$

$c+s = 500$

So, $s = 500-c$

Substituting the values of 's' and 'a' in equation 2, we get

$5c+7s+9a= 4950$

$5c+ 7(500-c)+(9 * 250) = 4950$

$5c+3500-7c+2250=4950$

$-2c= -800$

So, c = 400

Therefore, there were 400 children at the theater.

Would you classify 240 as a perfect square, perfect cube, both, or neither?

Answers

neither because neither the cube root or square root of 240 is just one number

a candy store sells different size bags of jelly beans.the line plot shows the weights of ten bags.Mikayla bought all of the. bags weighing less than 3/8 pound how many pounds of jelly beans did mikayla buy? a.1/12 b. 3/16 c. 3/8 d.5/8 (comes with a picture)

Answers

The quantity of jelly beans bought by Mikayla is 3/8 pounds

What is a number line?

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that a candy store sells different size bags of jelly beans. The line plot shows the weights of ten bags. Mikayla bought all of the. bags weighing less than 3/8 pound

The number of jelly beans will be calculated as,

1/4 = 2/8 ( 1/4 x 2/2 )

2/8 + 1/8 = 3/8 pounds

To know more about number lines follow

brainly.com/question/29268955

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Answer:

C.) 3/8 pounds

Step-by-step explanation:

1/4 = 2/8 ( 1/4 x 2/2 )

2/8 + 1/8 = 3/8 pounds

hopefully this helps you :)

pls mark brainlest ;)

thank you and stay safe

You are driving home on a weekend from school at 55 mi/h for 110 miles. it then starts to snow and you slow to 35 mi/h. you arrive home after driving 4 hours and 15 minutes. how far is your hometown from school

Answers

The distance between hometown and school is 188.75 miles.

Given that, the person drive 110 miles at 55 miles/hour.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula $S = (d)/(t)$ , where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Due to snow, speed is slow down to 35 miles/hour.

Let x miles be travelled with 35 miles/hour.

Total time taken to travel is 4 hours and 15 minutes.

Here, $T_1=(110)/(55)$ and $T_2=(x)/(35)$

Now, $T=T_1+T_2$

$(110)/(55)+(x)/(35)=4(15)/(60)$

$((110*7+x*11))/(385)=4(1)/(4)$

$((770+11x))/(385)=(17)/(4)$

$4(770+11x)=385*17$

$3080+44x=6545$

$44x=6545-3080$

$44x=3465$

$x=78.75$ miles

Total distance = 110+78.75

= 188.75 miles

Therefore, the distance between hometown and school is 188.75 miles.

Learn more about the average speed here:

brainly.com/question/9834403.

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Final answer:

The total distance from school to the student's hometown is calculated as the sum of distances covered at different speeds. The student spends 2 hours at 55 mi/h, covering 110 miles, and then 2.25 hours at 35 mi/h, covering 78.75 miles, making up a total of 188.75 miles.

Explanation:

The question pertains to the concepts of distance, speed and time in mathematics. In this scenario, the student drives at a speed of 55 mi/h for 110 miles and then slows down due to snowfall and drives at 35 mi/h. From this information, we can calculate the time spent at each speed.

Firstly, since Speed = Distance / Time, we can rearrange to find Time = Distance / Speed. For the first stretch of the journey, the time is 110 miles / 55 mi/h = 2 hours.

It is given that the total journey takes 4 hours and 15 minutes which is equivalent to 4.25 hours. So, the time spent driving at 35 mi/h is 4.25 hours (total trip time) - 2 hours (first stretch) = 2.25 hours.

The distance covered when it was snowing can be found by multiplying this time by the slower speed: 35 mi/h * 2.25 h = 78.75 miles.

Therefore, the total distance from school to the student's hometown is the sum of the distance traveled at each speed: 110 miles (at 55 mi/h) + 78.75 miles (at 35 mi/h) = 188.75 miles.