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slega [8]
3 years ago
6

Here are 550 students at Green County Middle School and 220 of them ride the bus to school.

Mathematics
1 answer:
Alexandra [31]3 years ago
4 0
220/550 = 0.40

0.40 * 100 = 40%

40% of students ride the bus
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Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n.
Blizzard [7]

The answer would be B.

46

-67

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I checked my math.

5 0
3 years ago
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Find the side of the triangle. Round your result to two decimal places. Can someone help me with this one??
posledela

Answer:

32.14

Step-by-step explanation:

it is a right triangle

so Pythagorean Theory is a^2 + b^2 = c^2

a and b are the legs of the right triangle

c is the hypotenuse

15.3^2 + b^2 = 35.6^2

234.09 + b^2 = 1267.36

1267.36 - 234.09 = 1033.27

1033.27 ^1/2 (square root)  = 32.14

5 0
3 years ago
Y = 2(x - 4)^2 - 2 function table for this please help
AnnZ [28]

Answer:

y=2x^2−16x+30

Step-by-step explanation:

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6 0
2 years ago
a. Find symmetric equations for the line that passes through the point (4, −4, 8) and is parallel to the vector −1, 4, −3b. Find
daser333 [38]

The line has equation

\vec r(t)=(4,-4,8)+(-1,4,-3)t

where t is any real number. (-1,4,-3)t is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.

To get the symmetric form, we have

\begin{cases}x(t)=4-t\\y(t)=-4+4t\\z(t)=8-3t\end{cases}

Solving for t in each equation gives the symmetric form,

t=\boxed{4-x=\dfrac{y+4}4=\dfrac{8-z}3}

The line has intercepts in the coordinate planes wherever either the x, y, or z coordinate is 0.

xy-plane:

z=0\implies\begin{cases}4-x=\frac83\\\frac{y+4}4=\frac83\end{cases}\implies\left(\dfrac43,\dfrac{20}3,0\right)

yz-plane:

x=0\implies\begin{cases}\frac{y+4}4=4\\\frac{8-z}3=4\end{cases}\implies\left(0,12,-4\right)

xz-plane:

y=0\implies\begin{cases}4-x=1\\\frac{8-z}3=1\end{cases}\implies\left(3,0,5\right)

7 0
3 years ago
A class of 10 students hang up their coats when they arrive at school. Just before recess, the teacher hands one coat selected a
Fittoniya [83]

Answer:

0.1274

Step-by-step explanation:

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Then, the expected value of X is

E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)

The probability that a child gets her or his coat is

P(X=1) = 1/10

To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is

P(X=2) = 8!/10! = 1/(10*9)  and

2P(X=2) = 2/(10*9)

Similarly, we can see that the probability that 3 children get their own coat is

P(X=3) = 7!/10! = 1/(10*9*8) and  

3P(X=3) = 3/(10*9*8*7)

and the expected value of X would be

E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274

6 0
3 years ago
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