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arsen [322]
3 years ago
11

To find the average of a set of numbers, add up all the items and divide by.

Mathematics
2 answers:
mafiozo [28]3 years ago
8 0
D. The number of items (items being numbers)
MA_775_DIABLO [31]3 years ago
6 0
The answer is D I think
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If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0
3 years ago
there are 12 players on the basketball roster. 9 of the players are in the 8th grade. What percent of the team is not in the 8th
alexandr402 [8]
Well there are 12 players and 9 are in 8th grade so the rest is leaving 3 so 3/12 so converted to percentage is 25% hoped this helped
3 0
2 years ago
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressio
KIM [24]

Answer:

Therefore x=9

Step-by-step explanation:

Give that,

log x+ log (x-3) = log 54

log x(x-3) =log 54             [    log_ca+log_c b=log_c(ab)   ]

x(x-3) = 54

Now expand the above equation to get a quadratic equation

x²-3x=54

⇒x²-9x+6x-54=0

⇒x(x-9)+6(x-9)=0

⇒(x-9)(x+6)=0

⇒x-9=0  or, x+6=0

⇒x=9,-6

Now putting x= -6 in the given expression,

log(-6)+log(-6-9)=log 54.

Since log (-6) does not exist.

Therefore x=9

8 0
3 years ago
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans
VikaD [51]

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

4 0
3 years ago
A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?
kicyunya [14]

Answer: 2%, second option is correct.

Step-by-step explanation:

To state 1/50 in percent, divide 1 by 50, then multiply by 100

=( 1 ÷ 50) x 100

= 0.02 x 100

= 2%

I hope this helps, please mark as brainliest.

5 0
3 years ago
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