Answer:
x = -7
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (&Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 6 to both sides of the equation:
-5x - 6 = 29
-5x - 6 (+6) = 29 (+6)
-5x = 29 + 6
-5x = 35
Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5
x = 35/-5
x = -7
-7 is your answer for x.
~
Answer:
see explanation
Step-by-step explanation:
A quadratic function in standard form is
y = ax² + bx + c (a ≠ 0 )
Given
y = - 3x² + 6x + 17 ← compare coefficients with standard form, then
a = - 3, b = 6, c = 17
Given the quadratic in standard form the the equation of the axis of symmetry is
x = -
= -
= 1
Equation of axis of symmetry is x = 1
Answer:
C). 0.39 grams
Step-by-step explanation:
First find how many half-lifes are in 3 hours:
3 hours ÷ 20 minutes = 9 half-lifes
Find the total left:
0.5^9*200 ≈ 0.39
Answer:
The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.
The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.
The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).
Answer
1:5
no of nurses: no of babies
2:10
step by step explanation :
divide both sides by the smallest i.e 2
you get
1:5