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MaRussiya [10]
3 years ago
5

Last season a Major League Baseball player got 160 hits in 200 times at bat. If the player expects to bat 400 times in the entir

e season with the same ratio of hits to bats how many hits can the player expect to have?
Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

He's expected to hit 320 times.

Step-by-step explanation:

To solve this problem we first need to compute the ratio at which he hit the ball in the last season, to do that we need to divide the number of hits by the number of tries. We have:

ratio = number of hits/ number of tries

ratio = 160/200 = 0.8

Since he's expected to bat 400 times if he maintains the same ratio in this season he'll hit:

number of hits = (number of tries)*ratio

number of hits = 400*0.8 = 320

He's expected to hit 320 times.

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Gandalf the Grey started in the Forest of Mirkwood at a point P with coordinates (3, 0) and arrived in the Iron Hills at the poi
Verdich [7]

Answer:

Turning point has coordinates \left(\dfrac{27}{13},\dfrac{8}{13}\right)

Step-by-step explanation:

Gandalf the Grey started in the Forest of Mirkwood at a point P(3, 0) and began walking in the direction of the vector \vec{v}=-3i+2j. The coordinates of the vector v are (-3,2). Then he changed the direction at a right angle, so he was walking in the direction of the vector \vec{u}=2i+3j (vectors u and v are perpendicular).

Let B(x,y) be the turning point. Find vectors PB and BQ:

\overrightarrow{PB}=(x-3,y-0)\\ \\\overrightarrow {BQ}=(5-x,5-y)

Note that vectors v and PB and vectors u and BQ are collinear, so

\dfrac{x-3}{-3}=\dfrac{y}{2}\\ \\\dfrac{5-x}{2}=\dfrac{5-y}{3}

Hence

2(x-3)=-3y\Rightarrow 2x-6=-3y\\ \\3(5-x)=2(5-y)\Rightarrow 15-3x=10-2y

Now solve the system of two equations:

\left\{\begin{array}{l}2x+3y=6\\ -3x+2y=-5\end{array}\right.

Multiply the first equation by 3, the second equation by 2 and add them:

3(2x+3y)+2(-3x+2y)=3\cdot 6+2\cdot (-5)\\ \\6x+9y-6x+4y=18-10\\ \\13y=8\\ \\y=\dfrac{8}{13}

Substitute it into the first equation:

2x+3\cdot \dfrac{8}{13}=6\\ \\2x=6-\dfrac{24}{13}=\dfrac{54}{13}\\ \\x=\dfrac{27}{13}

Turning point has coordinates \left(\dfrac{27}{13},\dfrac{8}{13}\right)

6 0
3 years ago
5 times the difference of a number and 20 is the same as half the sum of 4 more than 4 times a number. Can someone change it int
Andre45 [30]
5(x-20)=1/2(4+{4x})
Hope This Help
5 0
3 years ago
Please help ASAP!!!??
Mazyrski [523]

Answer:

\{-2,-1,1,2,4\}

Step-by-step explanation:

Given

The attached graph

Required

Determine the range of the graph

First, we list out the coordinate of each point on the graph:

The points are:

\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}

A function has the form: (x,y)

Where

y = range:

From the coordinate points above,

y = \{-1,-2,2,1,4\}

Order from least to greatest"

y = \{-2,-1,1,2,4\}

Hence, the range are: \{-2,-1,1,2,4\}

4 0
3 years ago
How many ways are there to select 15 cookies if at most 2 can be sugar cookies and at least 3 must be chocolate chip
olya-2409 [2.1K]

Answer:

A cookie store sells 6 varieties of cookies. It has a large supply of each kind. How many ways are there to select 15 cookies if at most 2 can be sugar cookies?

8 0
3 years ago
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UkoKoshka [18]

Answer:

3 option is correct

Step-by-step explanation:

because all the domains and ranges calculation matches in eqn 3

3 0
3 years ago
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