A coin is tossed 40 times. Heads appeared 18 times. Find the experimental probability of landing on heads.

Answers

Answer 1

Answer:

The experimental probability of landing on heads will be 9/20 or 0.45.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A coin is tossed 40 times.

Heads appeared 18 times.

Total events = 40

Favorable events = 18

Then the experimental probability of landing on heads will be

P = 18 / 40

P = 9 / 20

P = 0.45

More about the probability link is given below.

brainly.com/question/795909

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Answer 2

Answer: 18 out of 40

$(18)/(40) = (9)/(20) = 0.45 = 45 \%$

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5 over 8 divided by 3 over 10 in simplest form

Answers

I'm assuming you're referring to fractions.

First, invert the 3/10.
3/10 = 10/3

Then multiply.

5/8 • 10/3 = 50/24
50/24 = 25/12

5/8 ÷ 3/10 = 25/12

5/8 / 3/10 =
5/8 x 10/3=
50/24=
25/12

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1.

Answers

$(x;\ y)-the\ coordinates\ any\ point\ on\ the \ parabola.\n\nDistance\ between\ the\ point\ (x;\ y)\ and\ the\ focus\ (-5;\ 5)\nand\ distance\ between\ the\ point\ (x;\ y)\ and\ a\ direct\ are\ equal.\n\nDistance\ between\ (x;\ y)\ and\ (-5;\ 5):\n√((x-(-5))^2+(y-5)^2)=√((x+5)^2+(y-5)^2)\n\nDistance\ between\ (x;\ y)\ and\ y=-1:\n|y-(-1)|=|y+1|\n\nWe\ equate\ the\ two\ expressions:\n√((x+5)^2+(y-5)^2)=|y+1|$

$Square\ both\ sides:\n(x+5)^2+(y-5)^2=(y+1)^2\n\nUse:(a\pm b)^2=a^2\pm2ab+b^2\n\nx^2+2\cdot x\cdot5+5^2+y^2-2\cdot y\cdot5+5^2=y^2+2\cdot y\cdot1+1^2\nx^2+10x+25+\not y^2-10y+25=\not y^2+2y+1\nx^2+10x-10y+50=2y+1\n2y+1=x^2+10x-10y+50\ \ \ \ |subtract\ 1\ from\ both\ sides\n2y=x^2+10x-10y+49\ \ \ \ |add\ 10y\ to\ both\ sides\n12y=x^2+10x+49\ \ \ \ |divide\ both\ sides\ by\ 12\n\n\boxed{y=(1)/(12)x^2+(5)/(6)x+(49)/(12)}$

Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th. His checkbook shows a balance of $87.37 as of March 20. The bank returned all the cancelled checks but two. One check was for $5.00 and the other was for $13.25. How much did Carlos deposit in his account between the March 15 and the March 20? A. $125.87
B. $11.22
C. $162.37
D. $48.87

Answers

The answer is D. $48.87. — $56.75 - $5.00 - $13.25 = $38.50$87.37 - $38.50 = $48.87Carlos deposited $48.87.

Answer:The answer is D. $48.87. — $56.75 - $5.00 - $13.25 = $38.50 $87.37 - $38.50 = $48.87 Carlos deposited $48.87.

Step-by-step explanation:

Suppose 5% of the population have a certain disease. A laboratory blood test gives a positive reading for 95% of people who have the disease. What is the probability of testing positive and having the disease?

Answers

Answer:

The probability of testing positive and having the disease is 4.75%.

Step-by-step explanation:

Dad is 7 times as old as his son. 10 years later, he will be three times as old as his son.find their ages?

Answers

so dad is represented by x
son is represented by y

so x is (x=) 7 times his son (7y)

our first sentence is x=7y

10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)

so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5

the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15

dad=35
son=5

these are the answers
son = 5
dad= 35

1 point1) Taylor and her family took a road trip. She explains that the equation y =
60x describes the proportional relationship between the number of miles,
y, her family traveled, to the number of hours, x, the trip took. Which
statement represents the same proportional relationship? *

Taylor's family traveled 50 miles in 1 hour.

Taylor's family traveled 120 miles in 2 hours.

Taylor's family traveled 180 miles in 4 hours.

Taylor's family traveled 200 miles in 5 hours.

Answers

Answer:

120 miles in 2 hours

Step-by-step explanation:

120 = 60(2)

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