A baseball player recorded 40 hits in 166 at-bats. What is the ratio of hits to at-bats?

Mathematics

1 answer:

Likurg_2 [28]3 years ago

6 0

Ratio = 40 : 166 = 20 : 83

Answer: 20 : 83

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Find the point on the plane 4x+3y+z=10 that is nearest to (2,0,1). What are the values of x, y, and z for the point? x= 28 /

MariettaO [177]

Answer:

$\frac{1}{\sqrt{26}}$ .

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = $\frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}$

where $(x_0,y_0,z_0)=(2,0,1)$ , A=4, B=3, C=1 and D=-10. So, the distance is

d = $\frac{|8+1-10|}{\sqrt{16+9+1}}$

d = $\frac{|-1|}{\sqrt{26}}$

d = $\frac{1}{\sqrt{26}}$ .

4 0

2 years ago

Please help …………………….

Mars2501 [29]

9514 1404 393

Answer:

(-3, 3)

Step-by-step explanation:

The blanks are trying to lead you through the process of finding the point of interest.

The horizontal distance from T to S is 9 . (or -9, if you prefer)

The ratio you're trying to divide the line into is the ratio that goes in this blank:

Multiply the horizontal distance by 2/3 . (9×2/3 = 6)

Move 6 units left from point T.

The vertical distance from T to S is 6 .

Multiply the vertical distance by 2/3 . (6×2/3 = 4)

Move 4 units up from point T.

Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).

3 0

2 years ago

Solve the system using combination method to get a solution (x,y) 4x+7y=10 -4x-6y=28

PIT_PIT [208]

$\left \{ {{4x+7y=10} \atop {-4x-6y=28}} \right. \\\\add\ those\ two\ equations\\\\
y=38\\\\
4x+7y=10\ \ \ | subtract\ 7y\\\\
4x=10-7x\ \ \ \ | divide\ by\ 4\\\\
x=\frac{10-7x}{4}=\frac{10-7*38}{4}=\frac{10-266}{4}=\frac{-256}{4}=-64\\\\
solution:\\ \left \{ {{y=38} \atop {x=-64}} \right.$