First of all, we can observe that

So the expression becomes

This means that the expression is defined for every 
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

Since we can't accept 3 as an answer, the actual solution set is
![(-\infty,-2] \cup [2,3) \cup (3,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%20%5Ccup%20%5B2%2C3%29%20%5Ccup%20%283%2C%5Cinfty%29)
9514 1404 393
Answer:
- 18 tomatoes: £3.02
- £4.39 ⇒ 26 tomatoes
Step-by-step explanation:
a) at 12 tomatoes per box, 18 tomatoes will require 2 boxes. Then Isla's price will be ...
2(25p) +18(14p) = 50p +252p = £3.02
18 tomatoes in 2 boxes cost £3.02.
__
b) The 3 boxes cost 3(25p) = £0.75, so the tomatoes cost ...
£4.39 -0.75 = £3.64
at 14p each, the number of tomatoes is £3.64/£0.14 = 26
There are 26 tomatoes in 3 boxes costing £4.39.
Answer:
The probability that a person will get 17 or more right, if the person is truly guessing, is about 12.9%.
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
Step-by-step explanation:
The system of hypothesis fo this case are:
Null hypothesis: 
Alternative hypothesis: 
That's a upper right tailed test.
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
And this value allows to reject or not the null hypothesis.
If
we reject the null hypotheis at the significance level. That indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
If
then we say that we fail to reject the null hypothesis at the significance level. That indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
The sum of the fraction 6/7 and 1/2 is 19/14
<h3>How to add fractions</h3><h3 />
Given:
sum of 6/7 and 1/2
Sum means addition(+)
= 6/7 + 1/2
The least common denominator is 7 × 2 = 14
= 6/7 + 1/2
= (12+7) / 14
= 19/14
Therefore, the sum of 6/7 and 1/2 is 19/14
Learn more about fraction:
brainly.com/question/11562149
Answer:
h = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.75h + 3 = 12
<u>Step 2: Solve for </u><em><u>h</u></em>
- Subtract 3 on both sides: 0.75h = 9
- Divide 0.75 on both sides: h = 12
<u>Step 3: Check</u>
<em>Plug in h into the original equation to verify it's a solution.</em>
- Substitute in <em>h</em>: 0.75(12) + 3 = 12
- Multiply: 9 + 3 = 12
- Add: 12 = 12
Here we see that 12 does indeed equal 12.
∴ h = 12 is a solution of the equation.