Use the Pythagorean Theorem to find the length of the line segment connecting (4,-6) and (9,-5). The change in x is 5 and the change in y is 1. Thus, the
hypotenuse is sqrt(5^2 + 1^2) = sqrt(26) (answer).
Answer:
the 4th option is correct
Step-by-step explanation:
Original expression
Split up the exponent
The 1/9 of an expression is the same thing is the 9th root of the expression.
Simplify -5x + 12 - 7x to -12x + 12
-12x + 12 = -3(5x + 8)
Expand
-12x + 12 = -15x - 24
Add 15x to both sides
-12x + 12 + 15x = -24
Simplify 12x + 12 + 15x to 3x + 12
3x + 12 = -24
Subtract 12 from both sides
3x = -24 - 12
Simplify -24 - 12 to -36
3x = -36
Divide both sides by 3
x = -36/3
Simplify 36/3 to 12
<u>x = -12</u>
Answer:
There is no sufficient evidence to support the executive claim
Step-by-step explanation:
From the question we are told that
The population proportion is 
The sample proportion is 
The sample size is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically evaluated as

=> 
=> 
The p-value is mathematically represented as

Form the z-table

=> 
=> 
Given that
we fail to reject the null hypothesis
Hence we can conclude that there is no sufficient evidence to support the executive claim
Answer: True
Step-by-step explanation:
The length of the sides of a right triangle are always less than the length of the hypotenuse.
Also, the ratio of any side of a triangle and the hypotenuse is always less than 1.