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iren2701 [21]
3 years ago
8

Justin did push-ups for the past 5 days. The following data points are the number of push-ups he did each day.

Mathematics
2 answers:
ohaa [14]3 years ago
8 0

Answer:

The standard deviation is approximately 2.76 push-ups.

Step-by-step explanation:

​

irga5000 [103]3 years ago
6 0

Answer:

2.67

Step-by-step explanation:

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The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d
Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

2P_o=P_o(1+0.08)^t

Simplifying:

2=(1.08)^t

Taking logarithms:

\log 2=\log (1.08)^t

Applying the exponent property of logs:

\log 2=t\log (1.08)

Solving for t:

\displaystyle t=\frac{\log 2}{\log (1.08)}

Calculating:

t\approx 9

It will take 9 years for the population to double

8 0
3 years ago
Can someone please help me with the bar with missing numbers? Please it’s hard for me
alexandr402 [8]
You multiply the number of cars(bottom row) by 4 to get the number of tires(top row) so if there are 4 cars then there will be 16 tires. If you think about it, there are 4 tires on a car so you would multiply the number of cars by 4 to get the number of tires
4 0
4 years ago
One leg of a right isosceles Triangle is 6ft what is The area of The Triangle
AVprozaik [17]

Answer:

18ftx^{2}

Step-by-step explanation:

so fine area you do side x side and divide by two

6 x 6= 36

36/2 = 18

5 0
3 years ago
Please help immediately !!
julia-pushkina [17]
With what? I don’t see anything
3 0
3 years ago
A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 her
earnstyle [38]
We know that
Inverse Variation is a<span> relationship between two variables in which the product is a constant
so
let
x------> a pitch of a musical instrument
y------> </span><span>the wavelength
x*y=k

find the value of k

for x=</span><span>220 hertz   y=3 ft
</span><span>x*y=k
220*3=k
k=660

</span>for x=165 hertz   y=4 ft
x*y=k
165*4=660
k=660<span>

the answer part a) is
</span><span>the type of variation between pitch and wavelength is an inverse variation
</span>
part b) <span>What is the pitch when the wavelength is 5 feet?
x=?
y=5 ft
k=660
x*y=k------> solve for x
x=k/y----------> x=660/5-----> x=132 hertz

the answer Part b) is
132 hertz</span>
4 0
3 years ago
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