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3 years ago

8

Devin is on his school's swim team. During his 2-week winter break, he swims 30 laps each week to stay in shape. If each lap is

25 yards, how many feet does he swim during his winter break?

1 answer:

tamaranim1 [39]3 years ago

7 0

I think... 1500

Step-by-step explanation:

multiply 30 and 25 then times 750 as your answer by 2 to get 1500

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Natalija [7]

Answer: C & D

<u>Step-by-step explanation:</u>

A binomial experiment must satisfy ALL four of the following:

A fixed number of trials
Each trial is independent of the others
There are only two outcomes (Success & Fail)
The probability of each outcome remains constant from trial to trial.

A) When the spinner is spun three times, X is the sum of the numbers the spinner lands on.

→ #3 is not satisfied <em>(#4 is also not satisfied)</em>

B) When the spinner is spun multiple times ...

→ #1 is not satisfied

C) When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.

→ Satisfies ALL FOUR

A fixed number of trials = 4
Each trial is independent of the others = each spin is separate
There are only two outcomes = Not Odd & Odd
The probability of each outcome remains constant from trial to trial = P(X = not odd) = 0.50 for each spin

D) When the spinner is spun five times, X is the number of times the spinner lands on 1.

→ Satisfies ALL FOUR

A fixed number of trials = 5
Each trial is independent of the others = each spin is separate
There are only two outcomes = 1 & Not 1
The probability of each outcome remains constant from trial to trial = P(X = 1) = 0.17 for each spin

3 0

3 years ago

Please help! ^^' I'll give brainliest to the correct answer!

natita [175]

2, because ab=ac and they both equal 6 when plugged in

7 0

3 years ago

Tickets for a play cost $11 for an adult and $80 for a child on Saturday night 300 tickets were sold the amount of money collect

Ratling [72]

Answer:

120 adults tickets were sold

8 0

3 years ago

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po

grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm

Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

$=xy$

we are given that area as 1536

so, we can set it to 1536

$xy=1536$

now, we can solve for y

$y=\frac{1536}{x}$

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

$A=(8+x+8)\times (12+y+12)$

$A=(x+16)\times (y+24)$

now, we can plug back y

$A=(x+16)\times (\frac{1536}{x}+24)$

now, we have to minimize A

so, we will find derivative

$A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)$

we can use product rule

$A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

$=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

now, we can simplify it

$A'=-\frac{24576}{x^2}+24$

now, we can set it to 0

and then we can solve for x

$A'=-\frac{24576}{x^2}+24=0$

$-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2$

$-24576+24x^2=0$

$x=32,\:x=-32$

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

$x=32$

now, we can solve for y

$y=\frac{1536}{32}$

$y=48$

so, dimensions of printed poster are

length is 32 cm

width is 48 cm

5 0

3 years ago

a plane averaged 400 mph on a trip going east, but only 280 mph on the return trip. The total flying time in both directions was

Liula [17]

Answer:

1400 miles

Step-by-step explanation:

Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:

$Speed(S) = \frac{distance(d)}{time(t)}\\ S=\frac{d}{t}$

plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.

The time spent (t₁) in going east is given by:

$S=\frac{d}{t_1}\\ t_1=\frac{d}{S} =\frac{d}{400mph}$

The time spent (t₂) in going east is given by:

$S=\frac{d}{t_2}\\ t_2=\frac{d}{S} =\frac{d}{280mph}$

The total time (t) = t₁ + t₂

t = t₁ + t₂ = 8.5 hours

$\frac{d}{400}+\frac{d}{280} =8.5\\280d+400d=952000\\680d=952000\\d=1400miles\\$

Therefore the one way distance is 1400 miles

7 0

3 years ago