Answer:
x = 19 cm
Step-by-step explanation:
perimeter = 46 = 2(x + 4)
2x + 8 = 46
2x = 38
x = 19
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
<u />
<u />
4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (6,8) and solve for b

Subtract 24 from both sides to isolate b

Therefore, the y-intercept of the line is -16. Plug this back into
:

I hope this helps!
Answer:
the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
Step-by-step explanation:
From the five randomly selected students ; 160, 175, 163, 149, 153
mean average of the students = 160+175+163+149+153/5
= mean = x-bar = 800/5
mean x-bar = 160
from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]
P( Z>2.34) = from normal Z-distribution table
= 0.0096419
= 0.0096
hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
where SD = standard deviation = 3.94 and Miu = 150.8
Answer:
right prism
Step-by-step explanation:
If the faces are rectangles, then this prism is called a "right prism"
True. These answers show a relationship because you add eight every time the pack goes higher.