Answer:
35
Step-by-step explanation:
x + 10 = 45
x = 35
Answer:
m<y=50
Step-by-step explanation:
The total interior angles of a triangle is 180 degrees. This is a right triangle, the right angle measures 90 degrees. The given angle is 40 degrees.
Add 90 and 40.
90+40=130
Subtract 130 from 180.
180-130=50
m<y=50
Check:
90+40+50=180
90+90+180
180=180
Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:

For X=12.04 days:

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is

Answer:
Job has the weakest association with the dependent variable income.
Step-by-step explanation:
The correlation coefficient is used to determine the the strength and direction of the relationship between two variables.
It is denoted by <em>r</em> and the value of <em>r</em> ranges from -1.00 to 1.00.
The correlation data provided is as follows:
Income Education Job Age
Income 1.000
Education 0.677 1.000
Job 0.173 -0.181 1.000
Age 0.369 0.073 0.689 1.000
The dependent variable is the income.
And the variables Education, Job and Age are independent variables.
The correlation between Income and Job is 0.173.
This is the lowest correlation coefficient between the dependent and independent variable.
Thus, Job has the weakest association with the dependent variable income.
Answer:
14
Step-by-step explanation:
Arithmetic expressions are best evaluated using a reliable calculator. The Google calculator always follows the Order of Operations, so can give you a good answer to such questions.
(1/4)^-2 - (5^0)(2)(1^-1)
= 16 - (1)(2)(1) . . . . evaluate the exponents first
= 16 -2 . . . . . . . . . evaluate the product next
= 14 . . . . . . . . . . . finally, evaluate the sum
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The rule of exponents is ...
a^-b = 1/(a^b)