In a certain Algebra 2 class of 26 students, 18 of them play basketball and 7 of themplay baseball. There are 5 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer 1
Answer:

a=18−x

b=7−x

x+5+b+a=26

18−x+7−x+x+5=26

x=4

p

theprobabillty=4÷26


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The scatter plot shows the population P of a town (in thousands) t years after 2000. Which best linear equation to model the town’s population from 2000 to 2019? A) P(t) = 1.12t + 0.20
B) P(t) = 0.02 + 1.12
C) P(t) = 0.20t + 1.12
D) P(t) = 1.12t + 0.02

Answers

Final answer:

The best linear model to represent the town's population could be either P(t) = 1.12t + 0.20 or P(t) = 1.12t + 0.02, depending on the specific data in the scatter plot. Both these options follow the general form of a linear equation.

Explanation:

The question is related to a scatter plot, linear equation, and population study. We're looking to determine the best linear equation that models the town's population from 2000 to 2019 based on the given scatter plot. The general form of a linear equation is y = mx + b, where m represents the slope (rate of change), and b is the y-intercept (starting value). Typically, in this kind of scenario:

  • 't' would be the years after 2000,
  • 'm' would represent the rate of change of the population, and
  • 'b' would be the starting population.

Without the actual scatter plot, it's impossible to choose the most accurate option. However, options A & D are most likely because they conform to the general form. Option A, P(t) = 1.12t + 0.20, and Option D, P(t) = 1.12t + 0.02, are both viable options depending on the specific data presented in the scatter plot.

Learn more about Linear Equation here:

brainly.com/question/32634451

#SPJ2

Answer:

P(t)=1.12t+0.20

Step-by-step explanation:

Hope it helps lov

Add and simplify 9/16 + 1/2 =

Answers

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Further explanation

We will work on adding two fractions correctly with different denominators. The two denominators must be equated first.

In order to add these fractions, we need finding the common denominator by multiplying both denominators together.

\boxed{(9)/(16) + (1)/(2) = \ ?}

Both denominators, 16 and 2, are multiplied by one another. What about numerators? Pay attention to the treatment of each fraction.

\boxed{= \big( (9)/(16) * (2)/(2) \big) + \big( (1)/(2) * (16)/(16) \big)}

\boxed{= (18)/(32) + (16)/(32)}

\boxed{= (34)/(32)}

Let's take a break here to think.

Alternatively, develop a sharper method as below.

\boxed{= ((9 * 2) + (16 * 1))/(16 * 2)}

Note how this is performed. Absolutely indeed, cross-multiplication!

\boxed{= (18 + 16)/(32)}

\boxed{= (34)/(32)}

The numerator and denominator are divided by two to make it a simple fraction. After that, we simplify again into mixed fractions.

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Gently let's take a break once more to think strategically.

Observing the steps above, we still find a large number when there is a direct multiplication of the two denominators. Are there more highly recommended steps? Of course there is!

\boxed{(9)/(16) + (1)/(2) = \ ?}

The denominators 2 and 16 have LCM = 16. So, we convert the given fractions into equivalent fractions with denominator 16.

\boxed{= \big( (9)/(16) * (1)/(1) \big) + \big( (1)/(2) * (8)/(8) \big)}

\boxed{= (9)/(16) + (8)/(16)}

\boxed{= (17)/(16)}

Do not forget simplifying again into mixed fractions.

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Note:

In the form of fractions, the steps that must be considered are

  • equate the denominator,
  • simplify fractions, and
  • for the final answer, convert fractions to mixed fractions or decimal forms

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Keywords: add and simplify 9/16 + 1/2 =, solve, 2/7m - 1/7 = 3/14, operations, multiply, divide, fraction, equate, common denominator, numerator, both, LCM, alternative, different, method, way, steps, simple, mixed, convert, equivalent, cross-multiplication

Write the equation of each line in the indicated form 1. Standard form. Slope=8/3;(-2,0)

2. Point-slope form (-5,6) and(3,-10)

Answers

1. standard form is y=mx+b so I will use point slope to start
y-0=8/3(x+2), y=(8/3)x+(16/3)
2.Must solve for slope first, (y2-y1)/(x2-x1), -10--5/3-6= -5/-3= 5/3
so slope is 5/3, point slope is y-y1=m(x-x1), y-6=5/3(x+5)

Jane Hilman went to her bank. She had a balance of $1,009.88 in her savings account. She withdrew $130.00 and the teller credited her account with $6.19. What is her new balance? $886.07 $873.69 $1133.69 $1146.07

Answers

"Credit your checking account,"  means the transaction will increase your checking account balance. So first subtract $130 from $1009.88 and you get $879.88. Then add $6.19 for the amount the banker credited and you get $886.07 Hope this helped.

Answer:

886.07

no explination needed

Solve the equation 4n-7=-23

Answers

Answer:

n=-4

Step-by-step explanation:

-23+7=-16

-16/4=-4

Answer:

-4

Step-by-step explanation:

4n-7=-23 =-7 the oppsite is +7 so that will = 0 and for the other side which is -23 you will add 7 to it to get -16 and then -16 divided by 4   is -4

4n=-16

Jocy is making a wooden picture frame that will have a width that is 12 inches shorter than its length. If he uses 100 inches of wood, what are the dimsensionsof th frame?

Answers

If he uses 100 inches of wood to make the frame, then 100 is double the sum of the length and the width, so 50 is the sum of the length and the width.

If the length is 12 more than the width, then the width is (50-12)/2=19.  The length, then, is 19+12=31.