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3 years ago

Compare 1⁄2 with 3⁄4 using ( <, >, =). A. 1⁄2 > 3⁄4 B. None of the above C. 1⁄2 = 3⁄4 D. 1⁄2 < 3⁄4

Mathematics

2 answers:

Igoryamba3 years ago

7 0

Answer:

1/2<3/4

Step-by-step explanation:

hope this helps

vampirchik [111]3 years ago

3 0

1/2 = 2/4;
Compare 2/4 with 3/4;
Because 2 < 3, we have 2/4<3/4;
Finally, 1/2<3/4;
The correct answer is D.

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Solve the system of linear equations by substitution.<br> 2x-y=3<br> x+5y=14

adoni [48]

Let 2x – y = 3 ——— equation 1

Let x + 5y = 14 ——— equation 2

Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3

• Put eqn 3 in eqn 2

(y + 3 / 2) + 5y = 14

6y = 14 – 3/2

6y = 25/2

y = 25/12

• put y = 25/12 in eqn 3

x = (25/12 + 3/2)

x = 43/12

4 0

3 years ago

Identify the k-value that makes the relationship shown in the table below proportional.

uysha [10]

Answer:

The value of k that makes the relationship shown in the table below proportional is $\mathbf{\frac{1}{2}}$

Step-by-step explanation:

The relation is proportional if $y=kx \:or\:k=\frac{y}{x}$

Putting values of x and y to find k.

For x =2 and y =1 k is: $k=\frac{y}{x}=\frac{1}{2}$

For x =4 and y =2 k is: $k=\frac{y}{x}=\frac{2}{4} =\frac{1}{2}$

For x =6 and y = 3 k is: $k=\frac{y}{x}=\frac{3}{6} =\frac{1}{2}$

For x = 8 and y = 4 k is: $k=\frac{y}{x}=\frac{4}{8} =\frac{1}{2}$

For x =10 and y = 5 k is: $k=\frac{y}{x}=\frac{5}{10} =\frac{1}{2}$

So, The value of k that makes the relationship shown in the table below proportional is $\mathbf{\frac{1}{2}}$

5 0

3 years ago

Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population

Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

14 percent of the population of Arizona is 65 years or older.

This means that $p = 0.14$

A random sample of five persons from this population is taken.

This means that $n = 5$

The probability that less than 2 of the 5 are 65 years or older is :

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704$

$P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533$

So the correct answer is:

A)0.8533

3 0

3 years ago

Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'

MArishka [77]

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