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Katyanochek1 [597]
2 years ago
8

In the U.S. More male babies are born than females. In 1998 some 2,265,031 males were born and 2,287,419 females were born. Find

the empirical probability of an individual being born as a boy
Mathematics
2 answers:
azamat2 years ago
4 0

Answer:

0.498 or 49.8%

Step-by-step explanation:

Empirical probability or experimental probability = number of times an event occured/total number of trials.

In this case, the number of times an event (male being born) occured = 2,265,031 and the total number of trials = 2,265,031 males + 2,287,419 females = 4,552,450 individuals.

The Empirical probability of an individual being a boy = 2,265,031/4,552,450

= 0.498 or 49.8%

suter [353]2 years ago
3 0

Answer: The empirical probability that the individual being born is a male = 0.498

Step-by-step explanation:

Given the following :

Number of males born =2,265,031

Number of females born = 2,287,419

Empirical probability is given as :

P( A) =( Number of possible outcomes of event A ÷ Total number of events)

Total number of events = (number of males born + number of females born)

Total number of events = (2,265,031 + 2,287,419) = 4552450

Probability(individual being born is a boy) =

(Number of males born ÷ Total number of children born)

=2265031÷(2265031+2287419) = 0.49754110424057

Therefore, the empirical probability that the individual being born is a male = 0.498

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60g

Step-by-step explanation:

60/2=30

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A toy rocket is launched from a platform that is 48 ft high. The rocket height above the ground is modeled by h=-16t^2+32t+48. a
Komok [63]

Answer:

a) 64 feet

b)  3 seconds

Step-by-step explanation:

a)

The maximum height of h=h(t) can be bound by finding the y-coordinate of the vertex of y=-16x^2+32x+48.

Compare this equation to y=ax^2+bx+c to find the values of a,b,\text{ and } c.

a=-16

b=32

c=48.

The x-coordinate of the vertex can be found by evaluating:

\frac{-b}{2a}=\frac{-32}{2(-16)

\frac{-b}{2a}=\frac{-32}{-32}

\frac{-b}{2a}=1

So the x-coordinate of the vertex is 1.

The y-coordinate can be found be evaluating y=-16x^2+32x+48 at x=1:

y=-16(1)^2+32(1)+48

y=-16+32+48

y=16+48

y=64

So the maximum height of the rocket is 64 ft high.

b)

When the rocket hit's the ground the height that the rocket will be from the ground is 0 ft.

So we are trying to find the second t such that:

0=-16t^2+32t+48

I'm going to divide both sides by -16:

0=t^2-2t-3

Now we need to find two numbers that multiply to be -3 and add to be -2.

Those numbers are -3 and 1 since (-3)(1)=-3 and (-3)+(1)=-2.

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

This implies we have either t-3=0 or t+1=0

The first equation can be solved by adding 3 on both sides: t=3.

The second equation can be solved by subtracting 1 on both sides: t=-1.

So when t=3 seconds, is when the rocket has hit the ground.

5 0
2 years ago
What is two fifths plus one fourth plus one tenth
drek231 [11]

Answer:

3/4

Step-by-step explanation:

2/5+1/4+1/10=8/20+5/20+2/20=(8+5+2)/20=15/20=3/4

7 0
2 years ago
The school cafeteria sells three different types of sandwiches: chicken, turkey,
dusya [7]

Answer:

Number of chicken sandwiches = 150

Number of turkey sandwiches = 150

Number of roast beef sandwiches= 100

Step-by-step explanation:

We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.

Let chicken be x, turkey be y and roast beef be z.

We are told they make 400 sandwiches in total.

Thus;

x + y + z = 400

However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.

Thus, x = y

Thus;

Total is now;

x + x + z = 400

2x + z = 400 - - - (eq 1)

Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.

Thus;

3x + 3.5y + 4z = 1375

Since x = y. Thus;

3x + 3.5x + 4z = 1375

6.5x + 4z = 1375 - - - (eq 2)

Let's make z the subject in eq 1.

Thus;

z = 400 - 2x - - - (eq 3)

Putting 400 - 2x for z in eq(2) gives us;

6.5x + 4(400 - 2x) = 1375

6.5x + 1600 - 8x = 1375

1600 - 1375 = 8x - 6.5x

225 = 1.5x

x = 225/1.5

x = 150

Putting 150 for x in eq 3 gives;

z = 400 - 2(150)

z = 400 - 300

z = 100

Since x = y. Then y = 150

4 0
3 years ago
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