MATHEMATICS
MIDDLE SCHOOL

Answer:

Area = 42 sqaure inches

Length =7

Area = l x width

if the width is X then 7x=42 and x= 42/7 = 6

there X (width) is 6

perimeter thus is 7+7+6+6= 26

The answer is 26

COLLEGE

Find 1/4+13/20

. Write your answer as a fraction in simplest form.

A fraction is a way to describe a part of a whole. The sum of the two of the given fractions is equal to 9/10.

What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The given fractions can be added as shown below.

(1/4) + (13/20)

Taking the LCM of the denominator which is equal to 20,

= (1×5 / 4×5) + (13/20)

= (5/20) + (13/20)

= (5 + 13)/20

= 18/20

Divide both the numerator and the denominator by 2,

= 9/10

Hence, the sum of the two of the given fractions is equal to 9/10.

Learn more about Fraction here:

brainly.com/question/1301963

#SPJ2

The LCD here is 20. Thus, 1/4 = 5/20. The sum of 5/20 and 13/20 is 18/20, which can be reduced to 9/10.

MIDDLE SCHOOL

Determine the x-intercepts of the quadratic funtion given in factored form f(x)=4(2x-1)(3x+5)

Answer:

x=1/2, x=-5/3

Step-by-step explanation:

The x intercepts are where y =0

f(x)=4(2x-1)(3x+5)

0 = 4(2x-1)(3x+5)

Using the zero product property

2x-1 =0 and 3x+5 =0

2x-1+1 =0+1 3x+5-5=0-5

2x=1 3x=-5

2x/2 = 1/2 3x/3 =-5/3

x = 1/2 x = -5/3

HIGH SCHOOL

Three students A, B, and C are enrolled in the same class. Suppose that A attends class 30 percent of the time, B attends class 50 percent of the time, and C attends class 80 percent of the time. If these students attend class independently of each other, what is (a) the probability that at least one of them will be in class on a particular day and (b) the probability that exactly one of them will be in class on a particular day?

Answer:

(a) 0.93

(b) 0.38

Step-by-step explanation:

A attends class 30% of the time, so DO NOT attend 70%

B attends class 50% of the time, so DO NOT attend 50%

C attends class 80% of the time, so DO NOT attend 20%

Writing as probabilities:

P(A) = 0.30 and P(A') = 0.70

P(B) = 0.50 and P(B') = 0.50

P(C) = 0.80 and P(C') = 0.20

(a) the probability that at least one of them will be in class on a particular day

Let's call Q the event of none of them be in class on a particular day

Probability of at least one be in class is the complement of none of them be there, so: 1 - P(Q)

P(Q) = 0.7*0.5*0.2 = 0.07

1 - P(Q) = 1 - 0.07 = 0.93

(b) the probability that exactly one of them will be in class on a particular day?

One of them exactly be in class is

A is B not C not or A not B is C not or A not B not and C is, so

P(A).P(B').P(C') + P(A').P(B).P(C') + P(A').P(B').P(C)

0.3*0.5*0.2 + 0.7*0.5*0.2 + 0.7*0.5*0.8 =

0.03 + 0.07 + 0.28 = 0.38

MIDDLE SCHOOL

Is every integer a rational number?

yessssssssssssssssssssss

a rational number is one you can express as a ration or fraction, now, an integer is just a number all by its lonesome, no decimals or else, however, we can express any number as a rational, for example a few integers

2 = 2/1