Answer:
1 - expressions that are equal in value even though they are written in different ways, 2 - a(b + c) = ab + ac, or a(b + c) = ab - ac, 3 - a number that divides evenly into another number; a number multiplied to get a product, 4 - a single term; multiple terms connected by an addition or subtraction sign, 5 - a mathematical statement that shows two expressions are equal using an equal sign, 6 - an expression that uses variables to state a rule, 7 - a relation in which for any given input value, there is only one output value.
Answer:
negative
Step-by-step explanation:
calculating the z score by subtracting the mean and dividing by the standard deviation
(55-70)/10= -1.5
It's negative
Answer:
(x, y) = (18, 5)
Step-by-step explanation:
Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:
3x +49 = 7x -23
72 = 4x . . . . . . . . . add 23-3x
18 = x . . . . . . . . . . . divide by 4
__
Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.
3x = 11y -1
3(18) +1 = 11y . . . . add 1, fill in the value of x
55/11 = y = 5 . . . . divide by 11
The values of x and y are 18 and 5, respectively.
(Observed data - Accepted standard) divided by the accepted standard. Then all of that is multiplied by 100.
( ( O - A ) / A) * 100
Answer:
$80,500
55,500 + 1,500t
Step-by-step explanation:
The question is an arithmetic progression series
Where,
a= first term
d= common difference
n= number of terms
a = $70,000
d= $1,500
n= 8 years
8th term = a + (n-1) d
= 70,000 + (8-1)1500
= 70,000 + 7(1500)
= 70,000 + 10,500
= $80,500
Jocelyn salary after 8 years is $80,500
Solve for when n = t
t th term = a + (n-1)d
= 70,000 + (t - 1)1500
= 70,000 + 1,500t - 1,500
= 55,500 + 1,500t
t th term = 55,500 + 1,500t
