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Novay_Z [31]
3 years ago
14

A function with an input of 4 has an output of 10. Which of the following could not be the function equation?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0
For this you'll substitute the input and output.

A) 10 = 4 + 6
      10 = 10

B) 10 = 2(4) + 3
      10 = 11

C) 10 = 14 - 4
      10 = 10

D)10 = 2.5(4)
     10 = 10

The answer choice B is not the equation for the function because 10≠11.

         
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he table shows the mean number of basketball goals made by four random samples of players from the school team during this year’
Strike441 [17]

The valid prediction for the mean of the population possible using these samples is C. Yes, the variation of the sample means is small

<h3>What is a sample mean?</h3>

It should be noted that a sample mean is an average of a set of data . Also, the sample mean can be used to calculate the standard deviation, central tendency, and the variance of a data set.

The sample mean can be applied to a variety of uses, including calculating population averages.

Here, the sample variance is a measure of the degree to which the numbers in a list are spread out. Here, the numbers given are close to each other.

If the numbers in a list are all close to the expected values, the variance will be small and if they are far away, the variance will be large.

Therefore, the correct option is C.

Learn more about mean on:

brainly.com/question/1136789

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3 0
2 years ago
7.05, 5.07,7.5,0.57 least to greatest
Rudiy27

0.57 , 5.07 , 7.05 , 7.5

7 0
3 years ago
Read 2 more answers
Plz help ! solve the following system of equations <br><br> 5x+7y=23 <br> 9x+4y=7
Agata [3.3K]

Answer: x = -1 y = 4  I got my answer by solving for one variable in the first equation and then substituting what I got for that variable into the second equation in place of that aforementioned variable then solving for the last variable.

8 0
3 years ago
A test driver has to drive a car on a 1-mile track for two rounds in a way, that his average speed is 60 mph. On his first round
Darya [45]

(40+x)/2=60

40 +x = 120

x = 80


check :

40+80 = 120

120/2 = 60

 so his second round needs to be 80 mph

3 0
3 years ago
Calculate s f(x, y, z) ds for the given surface and function. g(r, θ) = (r cos θ, r sin θ, θ), 0 ≤ r ≤ 4, 0 ≤ θ ≤ 2π; f(x, y, z)
Triss [41]

g(r,\theta)=(r\cos\theta,r\sin\theta,\theta)\implies\begin{cases}g_r=(\cos\theta,\sin\theta,0)\\g_\theta=(-r\sin\theta,r\cos\theta,1)\end{cases}

The surface element is

\mathrm dS=\|g_r\times g_\theta\|\,\mathrm dr\,\mathrm d\theta=\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta

and the integral is

\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\int_0^{2\pi}\int_0^4((r\cos\theta)^2+(r\sin\theta)^2)\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta

=\displaystyle2\pi\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac\pi4(132\sqrt{17}-\sinh^{-1}4)

###

To compute the last integral, you can integrate by parts:

u=r\implies\mathrm du=\mathrm dr

\mathrm dv=r\sqrt{1+r^2}\,\mathrm dr\implies v=\dfrac13(1+r^2)^{3/2}

\displaystyle\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac r3(1+r^2)^{3/2}\bigg|_0^4-\frac13\int_0^4(1+r^2)^{3/2}\,\mathrm dr

For this integral, consider a substitution of

r=\sinh s\implies\mathrm dr=\cosh s\,\mathrm ds

\displaystyle\int_0^4(1+r^2)^{3/2}\,\mathrm dr=\int_0^{\sinh^{-1}4}(1+\sinh^2s)^{3/2}\cosh s\,\mathrm ds

\displaystyle=\int_0^{\sinh^{-1}4}\cosh^4s\,\mathrm ds

=\displaystyle\frac18\int_0^{\sinh^{-1}4}(3+4\cosh2s+\cosh4s)\,\mathrm ds

and the result above follows.

4 0
4 years ago
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