Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x -
← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.
Answer:
150/335, or 30/67
Step-by-step explanation:
Probability is expressed as the part against the whole (a fraction). All you have to do is divide how many people ran red lights by the total...and you're done!
Have a great day!
Answer:
./........
Step-by-step explanation:
Jordan and Baylor are going to have all together 780 cookies
<u>Solution:</u>
Jordan is baking 29 dozen chocolate chip cookies and Baylor is baking 36 dozen sugar cookies.
We have to find how many cookies are they going to have all together?
Now,<em> total number of cookies = cookies made by Jordan + cookies made by Baylor </em>
Total number of cookies = 29 dozens + 36 dozens
Total number of cookies = 65 dozens
Total number of cookies = 65 x 12 per dozen
Total number of cookies = 780
Hence, they altogether have 780 cookies
To evaluate the given probability we proceed as follows:
The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
from the question:
mean=272, sig=15
but the sample is n=36, thus we shall have:
√σ/n
=15/√36
=2.5
thus the z-score will be as follows:
x=272
z=(272-272)/2.5=0
x=274
z=(274-272)/2.5==0.8
thus
P(272<x<274)
=P(z<0.8)-P(z<0)
=0.7881-0.5
=0.2881
Hence the answer is 0.2881