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lyudmila [28]
3 years ago
13

A basketball player scored 24 times during one game. She scored a total of 41 points, two for each two-point shots and one for e

ach free-throw how many to point shots did she make? How many free throws?
Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

<em>Number of points shoot, x=17</em>

<em>Number of </em><em>free</em><em> </em><em>shoot</em><em>,</em><em> </em><em>y</em><em>=</em><em>7</em>

Step-by-step explanation:

Let us consider,

point shoot as x

free shoot as y.

Question say " A basketball player scored 24 times during one game "

Therefore, Number of point shoot + Number of free shoot = 24

Numerically we get,

x+y=24

Now, Free shoot gives one point and point shoot gives two points.

She scored total of 41 points.

2x+y=41

we get two equations

x+y=24

2x+y=41

By solving above linear equations...

we can write, y=24-x

replacing y value in 2x+y=41

2x+24-x=41

<em>x=17</em>

To find value of y, replace x vaule in any equation

say, x+y=24

17+y=24

<em>y=7</em>

Thus, x=17 and y=7

Number of points shoot, x=17

Number of free shoot, y=7

julsineya [31]3 years ago
6 0

Answer:

x=17

Step-by-step explanation:

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A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the
Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0
3 years ago
Please help I will give out brainliest
Licemer1 [7]

Answer:

Step-by-step explanation:

Our function is : 3x²-3x-1

  • 3x²-3x+2=2
  • 3x²-3x-1+3=2
  • 3x²-3x-1= -1
  • the number that gives us -1 is 1 (from the graph)

so x is 1

  • 3x²-3x-1= x+1  ⇒3x²-4x-2 = 0
  • Δ(the dicriminant)= (-4)²-4*3*(-2)= 16+24 =40
  • two solution x and y
  • x= (4-√40)/6 and y= (4+√40)/6
  • x= -0.38 and y = 1.7
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3 years ago
A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?
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Calories used = Activity level*Weight*Duration

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Substituting;
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Step-by-step explanation:

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4 0
3 years ago
Resuelve las siguientes ecuaciones: -x^2 - x =0 -X^2 + 12x = 0 3X^2 - 9x = 0 X^2 - 2x - 3 = 0
vaieri [72.5K]

Responder:

<em>a) 1 </em>

<em>b) 12 </em>

<em>c) 3 </em>

<em>d) -1 y 3 </em>

Explicación paso a paso:

Dadas las siguientes ecuaciones;

a) x²-x =0

x² = 0+x

x² = x

x = 1

b) -x²+12x = 0

-x² = -12x

x² = 12x

x = 12

c) 3x² - 9x = 0

Suma 9x a ambos lados

3x²-9x+9x = 0+9x

3x² = 9x

3x = 9

x = 9/3

x = 3

d) x²-2x-3 = 0

x²-3x+x-3 = 0

x(x-3)+1(x-3) = 0

(x+1)(x-3) = 0

x+1 = 0 y x-3 = 0

x = -1 y 3

4 0
3 years ago
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