Answer:
13 units
Step-by-step explanation:
(-1,5) and (4, -7)
To find the distance of two points, we use the distance formula:

Let's plug in what we know.

Evaluate the double negative.

Evaluate the parentheses.

Evaluate the exponents.

Add.

Evaluate the square root.

13 units
Hope this helps!
Answer:
x ≤ 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2(4 + 2x) ≥ 5x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5
- [Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5
- [Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3
- [Division Property of Equality] Divide -1 on both sides: x ≤ 3
Answer:
50 lbs.
Step-by-step explanation:
Answer:
Claim is true that most medical malpractice lawsuits are dropped or dismissed.
Step-by-step explanation:
Given :In a study of 799 randomly selected medical malpractice lawsuits, it was found that 499 of them were dropped or dismissed.
To Find : Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Solution:
n = 799
x = 499
We will use one sample proportion test

We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.
Probability of dropped or dismissed is 1/2

Formula of test statistic = 
=
= 7.038
p value (z>7.038) is 0
α =0.05
So, p value < α
So, we reject the null hypothesis
So,claim is true
Hence most medical malpractice lawsuits are dropped or dismissed.
X=6
y=7
6+7
= 13
1/2(6) + 7
= 3 +7
=10