Solve the inequality for w. - 11 >w- 19

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

8 0

Answer:

Step-by-step explanation:

$-11>w-19\qquad\text{add 19 to both sides}\\\\-11+19>w-19+19\\\\8>w\to w$

Vaselesa [24]3 years ago

5 0

Answer:

w < 8

Step-by-step explanation:

This means w can be any number below 8.

Example;

w = 7

w = 6

w = 5

and so on...

(Changed original answer. Thought it had said -11 < w - 19)

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Find the answer to 1/8 + 7/12

dangina [55]

Answer: 17/24

Step-by-step explanation: Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.

3/24 + 14/24

To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.

So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.

So 1/8 + 7/12 is 17/24.

6 0

3 years ago

Read 2 more answers

A new test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A med

Troyanec [42]

The tree diagram of the problem above is attached
There are four outcomes of the two events,

First test - Cancer, Second Test - Cancer, the probability is 0.0396
First test - Cancer, Second Test - No Cancer, the probability is 0.0004
First test - No Cancer, Second Test - There is cancer, the probability is 0.0096
First test - No cancer, Second Test - No cancer, the probability is 0.9054

The probability of someone picked at random has cancer given that test result indicates cancer is $\frac{0.0396}{0.0396+0.0096}= \frac{33}{41}$

The probability of someone picked at random has cancer given that test result indicates no cancer is $\frac{0.0396}{0.0004+0.9504} = \frac{99}{2377}$