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3 years ago

12

2. Which answer is equivalent to "y less than 2 times 7"?

1 answer:

mart [117]3 years ago

5 0

The answer is to the equation is b

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One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that

inessss [21]

Let
x-------> <span>the probability that a boy is chosen
B------> </span>number of boys in the debate team
G------> number of girls in the debate team<span>

we know that
B+G=20-----> G=20-B-----> equation 1
</span>probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

t<span>he probability that a girl is chosen is 2/3 the probability that a boy is chosen
</span>probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

7 0

3 years ago

last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching at the co

borishaifa [10]

Answer: $x+y\geq 1$ , $x>\frac{1}{4}$ , $x\geq 2y$ and $y\geq 0$

Step-by-step explanation:

Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

⇒ $x+y\geq 1$

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

⇒ $x\geq 2y$

Also, She spent more than 1/4 hour running on her wheel.

⇒ $x>\frac{1}{4}$

And, we know that number of hours can not be negative.

⇒ $y\geq 0$

Therefore, the complete system of inequality which shows the given situation is,

$x+y\geq 1$ , $x>\frac{1}{4}$ and $x\geq 2y$ , $y\geq 0$

Note: the feasible region ( covered by the given system) is shown in the below graph.

6 0

3 years ago

Find g(x), where g(x) is the translation 1 unit right of f(x)=x2.

jeyben [28]

Step-by-step explanation:

this is the answer (y2 - y1) = m (x2 - x1)

4 0

2 years ago

Read 2 more answers

Whats the greatest ten you can multiply by 19 to get close to but not go over 684

USPshnik [31]

Answer:

The desired expression is 19 x (3 tens) = 19 x 30 = 570

So, the greatest ten = 3 (tens)

Step-by-step explanation:

Let us check each tens.

19 x (1 ten) = 19 x 10 = 190

19 x (2 tens) = 19 x 20 = 380

19 x (3 tens) = 19 x 30 = 570

19 x (4 tens) = 19 x 40 = 760

But, here 760 is OVER the given term 684.

and 570 is the nearest value to the value 684.

So, the desired expression is 19 x (3 tens) = 19 x 30 = 570

4 0

3 years ago

Middle school math problem

irina [24]

Answer:

12%

Step-by-step explanation:

4 0

3 years ago