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Ilya [14]
3 years ago
5

Shirley graphed the line shown on the coordinate plane

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0
But this is not a question. proof? no question mark

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To estimate the mean score μ μ of those who took the Medical College Admission Test on your campus, you will obtain the scores o
Juliette [100K]

Answer: 0.4667

Step-by-step explanation:

According to 68–95–99.7 rule , About  99.7% of all data values lies with in 3 standard deviations from population mean (\mu).

Here , margin of error = 3s , where s is standard deviation.

As per given , we have want our sample mean \overline{x} to estimate μ μ with an error of no more than 1.4 point in either direction.

If 99.7% of all samples give an \overline{x} within 1.4 , it means that

3s=1.4

Divide boths ides by 3 , we get

s=0.466666666667\approx0.4667

Hence, So \overline{x} must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an \overline{x} within 1.4 point of μ .

6 0
3 years ago
A cyclist cycles a distance of 40 miles in a time of 2 hours. what is her average speed?
snow_lady [41]

Answer:

see this and it by your own

Step-by-step explanation:

How do you find average speed with distance and time?

Divide the distance by the time.

This will give you the average speed per unit of time, usually hour. So, if Ben traveled 150 miles in 3 hours, his average speed is 50 miles per hour

How do you find average speed with hours and minutes?

How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometer's for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.

6 0
3 years ago
Please don’t just comment for points
masha68 [24]
1. no because 2x+10 is not equal to 2x+7
2. no. you cant add una like terms so 4x+4 doesn’t equal 8x
3. yes. the terms still retain their same value although they are not in the same order
4. yes. when u distribute the -3, you get -3x-6 which is of course equal to -3x-6
7 0
3 years ago
1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
iogann1982 [59]

If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n

The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}

We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

\implies a_n=\dfrac{(-2)^n}{n!}a_0

So the ODE has solution

y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

which you may recognize as the power series of the exponential function. Then

\boxed{y(x)=a_0e^{-2x}}

7 0
3 years ago
last week rafael drove m miles. this week he drove 153 miles. using m, write an expression for the total number of miles he drov
zzz [600]

The expression for the total number of miles he drove in the two weeks is m + 153

<h3>How to determine the expression for the total number of miles he drove in the two weeks?</h3>

The given parameters are

Last week = m miles

This week = 153 miles

The expression for the total number of miles he drove in the two weeks is

Expression = Last week + This week

This gives

Expression = m + 153

Hence, the expression for the total number of miles he drove in the two weeks is m + 153

Read more about expressions at

brainly.com/question/723406

#SPJ1

5 0
1 year ago
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