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Lubov Fominskaja [6]
3 years ago
7

Mrs. avery is going to randomly select one student from her class to read a poem out loud. there are 151515 boys and 131313 girl

s in her class. what is \text{p(boy})p(boy)p, left parenthesis, b, o, y, right parenthesis
Mathematics
2 answers:
arlik [135]3 years ago
8 0
P(boy) is asking for the probability that a boy will be chosen to read a poem out loud. Since there are 15 boys, we can get the probability by dividing this with the total number of students. This is because out of all the students, there is an equal possibility that each of the 15 boys will be chosen.

\frac{15}{15+13}= \frac{15}{28}=0.5357

ANSWER: The probability that a boy is selected is 0.5357 or 53.57%
Sladkaya [172]3 years ago
5 0

Answer:

The answer is 15/28.

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THE amusement park won't allow kids to ride roller-coasters until they are a minimum of 48 inches tall. Michael is now 42 inches
saveliy_v [14]

Answer: It will one year (or 12 months) before Michael is able to ride the roller coaster.

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3 years ago
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What is 7/4 plus -1/2 plus 2/3? And what’s the answer
vichka [17]

Answer:

1.85

Step-by-step explanation:

1.75-0.5+0.6= 1.85 or 1 17/20

4 0
3 years ago
Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely wit
skelet666 [1.2K]
<span>A) First function, y varies directly with x.

1) function: y = (3/4)x

2) graph: it is a straight line that passes through the origin and has slope 3/4. The slope means that the rate of change of the function is 3 units per every 4 units the x-value incresase or, what is the same 0.75 units per incresase unit of x - value.

3) real world example

 A recipe of a cake instructs to use 3 cups of sugar for every 4 cups of flour. So, how much flour you need if you have 12 cups of sugar?

y = (3/4)x , so if x = 3, y = (3/4)*12 = 3*12/4 = 9.

So, given that the variation is direct you multiply the number of cups of sugar times the constant rate, 3/4, to get the number of cups of flour in relation with the given amount of sugar.

B) The second function: y varies inversely with x.

Inverse variation => y*x = constant or y = constant / x.

Tnat means that if x increase y will decrease in the same factor that x increases.

1) function: y = 12 / x

2) graph: the form of this graph is called hyperbola, it is a decreasing line from left to right. It has two asymptotes, the y-axis (x =0) and the x-axis (y = 0). That means that x and y can never be zero.

As the x-value approaches 0, the y value approaches positive or negative infinity;  as the y-values approaches 0 the x-values approaches to positive or negative infinity.

If you take the positive values, the graph is a decreasing curve in the first quadrant (x and y are positive).

If you take the negative values, the graphs is a decreasing curve in the third quadrant (x and y are negative)

3)  real world example.

The relatioship between velocity and time in a uniform motion.

If the distance run by an object is constant, as the velocity increases the time decreases in the same factor.

Suppse a distant of 100  km between cities A and B.

How long will it take to travel from A to B at 50 km/ h and 25 km/h ?:

100 km = velocity * time

at 50 km/h: 100 km = 50 km/h * t => t =  [100 km ] / [50 km/h] = 2 hours

at 25 km/h: 100 kg = 25 km/h * t => t = [ 100 km ] / [25 km/h] = 4 hours.

 C) Third case, the relationship between x and y should is neither inverse variation nor direct variation.

Of course, there are infinite type of functions that are neither inverse variation nor direct variation: linear (that do not passe through the origin), quadratic, exponential, logarithmical, trigonometric sine, ...

1) example of function: y = 30 + 2x

2) graph: it is a straigh line with y-intercept 30 and slope 2.

3) real world example:

The cost of producing chairs consists of 30 dollars of rent for the facility plus 2 dollar to produce each chair, so the total cost y is 30 + 2x.
</span>
3 0
3 years ago
Whats 5000+35548-455x4534+38534x233=?
Vlada [557]

Answer:

6,956,000

Do all the operations in order by following the PEMDAS method.

6 0
3 years ago
Write an equation to solve each problem and then solve it. In a 3-digit number, the hundreds digit is four more than the ones di
horsena [70]
Hey there :)

Let us translate the sentences to mathematics for ease!
A 3-digit number
Ones digit → ( let p represent is )
Hundreds digit is four more than ones digit → ( 4 + p )
Tens digit is twice hundreds digit → 2 ( 4 + p ) = 8 + 2p
Sum of the digits is 12 
           ↓
Hundreds digit + Tens digit + Ones digit = 12
( 4 + p  ) + ( 8 + 2p ) + p = 12

Combine like terms
4 + 8 + p + p + 2p = 12
12 + 4p = 12

Take 12 to the opposite side { Do subtraction when you see addition }
12 ( - 12 ) + 4p = 12 - 12
4p = 0

Divide by 4 on either side
\frac{4p}{4} = \frac{0}{4}
p = 0
( 4  + 0 ) + ( 8 + 2 ( 0 ) ) + ( 0 )

The number is 480

Check 
Hundreds + Tens + Ones = 12
4 + 8 + 0 = 12
12 = 12

4 0
3 years ago
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