All categories

3 years ago

Solve the given inequality and graph the solution on a number line -x/2 + 3/2 + < 5/2 .

Mathematics

2 answers:

liq [111]3 years ago

5 0

Answers in Image attached

Hope this helps

irina [24]3 years ago

5 0

Well, in that case, here goes...

The first thing I'd do is clear the fractions- that is, I'd multiply each of them by 2 because 2 is the lowest common denominator.

That leaves you with -x + 3 < 5
Now solving isn't too bad...

-x + 3 - 3 < 5 - 3 (subtract 3 from both sides)
-x < 2

The x isn't alone! That - is hanging on...so multiply both sides by -1 to get rid of it!

-x * -1 < 2 * -1 WAIT! We multiplied by a negative!!
-x * -1 > 2 * -1 Had to flip that inequality ofver!

x > -2

You might be interested in

g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d

professor190 [17]

Answer:

The variance and standard deviation of X are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - X) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable X is defined as, X = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

$P (X)=\frac{4}{20}=0.20$

A random sample of n = 3 items are selected at random.

The random variable X follows a Binomial distribution with parameters n = 3 and p = 0.20.

The variance of a Binomial distribution is:

$V(X)=np(1-p)$

Compute the variance of X as follows:

$V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48$

Compute the standard deviation (σ (X)) as follows:

$\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693$

Thus, the variance and standard deviation of X are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

$V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48$

Compute the standard deviation of (20 - X) as follows:

$\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693$

Thus, the variance and standard deviation of (20 - X) are 0.48 and 0.693 respectively.

3 0

3 years ago

PLEASE ANSWER FAST!!!

8090 [49]

Answer:

There isnt a graph to see

6 0

3 years ago

Log5(5)=x solve for x

Ilia_Sergeevich [38]

Answer:

x = 1

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ b = 1

That is the logarithm of a number to the same base is 1

Given

$log_{5}$ 5 = x , hence x = 1

6 0

3 years ago

Read 2 more answers

A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What fraction of the water leaked

Ilia_Sergeevich [38]

C. 3/8 is the answer

3 0

3 years ago

Simplify the following expression. 7^-5/6.7^-7/6. 1/49 1/14 14 49

Serggg [28]

${7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } \\ = {7}^{ - \frac{5}{6} - \frac{7}{6} } \\ = {7}^{ - \frac{12}{6} } \\ = {7}^{ - 2} \\ = \frac{1}{ {7}^{2} } \\ = \frac{1}{49}$
The answer is 1/49

4 0

3 years ago