Answer:
b. 5tan(25°)
Step-by-step explanation:
The tangent function gives the ratio between the side opposite and the side adjacent to the angle. That is ...
tan(25°) = ?/5
Multiplying by 5 solves the equation:
? = 5·tan(25°)
Answer:
2.2
Step-by-step explanation:
Answer:
95% of monthly food expenditures are between $110 and $190.
Step-by-step explanation:
Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.
To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?
Solution :
At 95% of the data is between two standard deviation to left and right of the mean is given by,
To the left side, 
To the right side, 
We have given,
The sample mean 
The standard deviation 
Substitute in the formula,








Therefore, 95% of monthly food expenditures are between $110 and $190.
Answer:
Substitution property of equality
Step-by-step explanation:
Given
and 
Then

Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If
then 
In other words, both can replace one another.
So if
, then 2y + 1 can be substituted for x in
So:
becomes

<em>Hence, it is substitution property of equality</em>
Answer:
27%
Step-by-step explanation:
3/11 = 0.27272727
so about 27%