Answer: the equation is y = - 3x + 14
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the straight line.
The slope of the given line is - 3 and it contains the point (4, 2)
To determine the y intercept, we would substitute m = - 3, x = 4 and
y = 2 into y = mx + c. It becomes
2 = - 3 × 4 + c
2 = - 12 + c
c = 12 + 2
c = 14
The equation becomes
y = - 3x + 14
Answer:
Cost Of Kid's tickets =16.66
Cost of Adult's tickets=33.34
Step-by-step explanation:
Answer:
d. 20
Step-by-step explanation:
Standard deviation is 4.5
Margin error for the problem is 2 hours
Probability 95%, that means that the siginficance level α is 1 – p
α = 1 – 0.95 = 0.05
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.05/2) = Z(0.025)
Using a z table Z = 1.96
Now, replacing in the equation and find n
2 = 1.96 * 4.5/ √n
2 = 8.82/√n
√n = 8.82/2
√n = 4.41
n = 4.41^2
n = 19.44 ≈ 20
Answer:
a1=2 and r=-1
Explanation:
"A geometric series is a series with a constant ratio between successive terms".
Here, we can observe that the first term 'a' is '2'.
And the common ratio 'r' =
Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.
Answer:
5 1/6
Step-by-step explanation:
Rewriting our equation with parts separated
=8+2/4−3−1/3
Solving the whole number parts
8−3=5
Solving the fraction parts
2/4−1/3=?
Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 12
6/12−4/12=2/12
Reducing the fraction part, 2/12,
2/12=1/6
Combining the whole and fraction parts
5+1/6=5 1/6
